Answer:
Step-by-step explanation:
$3120 and $3888
width of the road=2m
outer Rectangle, I = 40m, b = 16m
Inner Rectangle, I = 36m, b = 12m
Area of Outer rectangle = 40x16= 640m2
Area of inner Rectangle = 36x12= 432m2
Area of the road=640-432 =208m2
cost of paving bricks $15
=208x15 = $3120. Ans
Area of inner Rectangle 432m2
cost of covering with grass $9
= 432x9= $3888.
Answer: brick cost= 3120 grass cost =3888
Step-by-step explanation:
Calculate area of the road by subtracting the area of the inner plot (36x12) from the area of the whole plot (40x16). Multiply the individual costs by the area of their respective places.
(40x16) - (36x12) = 208
208x16 = 3120
36x12 = 432
432x9 = 3888
graph the line. y=-1/5x+5
Answer:
I have graphed it and attached it in the explanation part.
Step-by-step explanation:
write an expression for a triangle where side 1 is an unknown length . side 2 is twice side 1 and side 3 is 4 centimeters longer than side 1 .
Answer:
Let's call the length of side 1 "x". Then, the length of side 2 is 2x, and the length of side 3 is x + 4. So, the expression for the three sides of the triangle can be represented as:
x + 2x + (x + 4) = 3x + 4
This expression represents the sum of the lengths of all three sides of the triangle.
Step-by-step explanation:
Answer: x+2x+(4+x)
Step-by-step explanation:
since side one is unknown, we can substitute it with variable x, and side two is twice as much as side one so we do 2x, and side three is four cm longer than side one so we do 4+x at the end
Please help with triangles
The value of x is given as follows:
x = 131º.
How to obtain the value of x?An interior angle is supplementary with it's exterior angle, meaning that the sum of their measures is of 180º.
Hence the measure of the top angle of the bottom triangle is given as follows:
a = 180 - 98
a = 82.
The base angles of the bottom triangle have the same measure, as the triangle is isosceles, hence, considering that the sum of the measures of the internal angles of a triangle is of 180º, their measures are given as follows:
2b + 82 = 180
2b = 98
b = 49.
Considering the vertical angles, the base angles of the top triangle are given as follows:
b = 49.
Hence the value of x is given as follows:
x = 180 - 49
x = 131º.
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1. What is the area of triangle ABC? * 12 60° 60° A A. 6/3 square units B. 18 V3 square units A B C. 36 /3 square units D. 72 /3 square units
Option C, 36/3 square units, is equivalent to this answer, so that is the correct choice
What is a formula of area of triangle?
To calculate the area of a triangle, use the formula area = 1/2 * base * height.
To find the area of triangle ABC, we can use the formula:
Area = (1/2) * base * height
where the base and height are the dimensions of the triangle that form a right angle.
In this case, we don't have the dimensions of the triangle that form a right angle, but we know that the triangle has two angles that are 60 degrees each. This tells us that the triangle is an equilateral triangle, and all three sides are equal.
Let's call the length of each side "s". Then, we can use the formula for the area of an equilateral triangle:
[tex]Area = (\sqrt(3)/4) * s^2[/tex]
Plugging in the given value of 12 for s, we get:
[tex]Area = (\sqrt{(3)/4) * 12^2}\\\\ Area \ = (\sqrt{(3)/4) * 144} \\\\Area = 36\sqrt{(3)}[/tex]
Therefore, the area of triangle ABC is [tex]36\sqrt(3)[/tex] square units.
Option C, 36/3 square units, is equivalent to this answer, so that is the correct choice.
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the soup shack usually makes tomato soup with 9 99 tomatoes for every 12 1212 bowls of soup. today, they used 6 66 tomatoes to make 8 88 bowls of soup. how does the tomato taste in today's soup compared to the usual recipe?
The taste of the tomato in today's soup compared to the usual recipe is same .
We find the tomato to soup ratio for each day to compare the taste of tomato in today's soup with the usual recipe,
For the usual recipe, the soup shack uses 9 tomatoes for every 12 bowls of soup, which can be simplified to a ratio of 9:12 ⇒ 3:4 .
This means that for every 3 parts of tomato, there are 4 parts of soup.
For today's soup, the soup shack used 6 tomatoes to make 8 bowls of soup, which can be simplified to a ratio of 6:8 ⇒ 3:4.
This means that for every 3 parts of tomato, there are 4 parts of soup, which is the same as the usual recipe.
Therefore, based on the tomato to soup ratio, the taste of tomato in today's soup is same as the usual recipe.
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The given question is incomplete , the complete question is
The soup shack usually makes tomato soup with 9 tomatoes for every 12 bowls of soup. today, they used 6 tomatoes to make 8 bowls of soup.
How does the tomato taste in today's soup compared to the usual recipe ?
Lauren and Aidan left their offices at 6:15 P.M. and drove to meet at a restaurant the same
distance away from their offices for dinner. Lauren drove at a constant speed of 39 miles
per hour. Aidan drove at a constant speed of 42 miles per hour. Aidan reached the restaurant
away was Lauren from the restaurant when Aidan reached?
at 6:35 P.M. How far away
Lauren was 13 miles away from the restaurant when Aidan reached it.
What is travel?
Travel refers to the act of moving from one place to another, often over a distance or by means of transportation.
Lauren and Aidan both left their offices at 6:15 P.M. and traveled for 20 minutes (from 6:15 P.M. to 6:35 P.M.) before Aidan arrived at the restaurant. During this time, Lauren traveled at a speed of 39 miles per hour, so she covered a distance of:
distance = speed x time
distance = 39 miles/hour x (20 minutes / 60 minutes/hour) = 13 miles
After 20 minutes, Aidan arrived at the restaurant, having traveled for 20 minutes at a speed of 42 miles per hour. The distance he covered during this time is:
distance = speed x time
distance = 42 miles/hour x (20 minutes / 60 minutes/hour) = 14 miles
Since they both traveled the same distance to the restaurant, but Aidan arrived there first, Lauren must have been 1 mile behind him when he arrived at the restaurant.
Therefore, Lauren was 14 - 1 = 13 miles away from the restaurant when Aidan reached it.
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Amy and Tina each buy a coffee.
Amy gets 15p change from £2
Tina gets £2.45 change from £5
How much more does Tina pay than Amy?
Give your answer in pence.
+
Optional working
Answer: 235
3
Р
Tina pays 0.7p more than Amy when buying the coffee.
What is addition and subtraction?The two main arithmetic operations that we learn to add and subtract two or more integers or other mathematical values are addition and subtraction. Division and multiplication are the other two fundamental mathematical operations. The addition symbol is the plus sign (+), and the subtraction symbol is the minus sign (-). (minus sign).
Given that,
Amy gets 15p change from £2. The price of the coffee is:
A = 2 - 0.15
A = 1.85
Tina gets £2.45 change from £5. The price of the coffee is:
T = 5 - 2.45
T = 2.55
The difference in the cost of the coffee is:
T - A = 2.55 - 1.85 = 0.7
Hence, Tina pays 0.7p more than Amy when buying the coffee.
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If the water evaporates at the rate in a, for 12 hours, how many inches will evaporate?
On solving the provided question, we cans ay that inches will evaporate, the equation will be = 12x = 1/2y + 7.43
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
he water evaporates at the rate in a, for 12 hours.
inches will evaporate,
the equation will be = 12x = 1/2y + 7.43
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What conclusion can be drawn about the number of trials and the probability of the coin landing on heads or tails? (1 point)
• a
• b
The experimental probability is closer to the theoretical probability for group Y than group X.
The experimental probability and the theoretical probability for group X is the same.
• с
• d
The experimental probability and the theoretical probability for group Y is the same.
The experimental probability is closer to the theoretical probability for group X than group Y.
The correct statement regarding the probabilities is given as follows:
d. The experimental probability is closer to the theoretical probability for group X than group Y.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
For the theoretical probability, a coin is equally as likely to be heads or tails, hence for each group they are given as follows:
p = 1/2 = 0.5 = 50%.
The experimental probabilities for obtaining heads in each group are given as follows:
Group X: 33/86 = 0.384. -> closer to theoretical.Group Y: 17/64 = 0.265.More can be learned about probability at https://brainly.com/question/24756209
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car rental company a charges an $80 service fee plus $22 per day. car rental company b does not have a service fee and charges $32 per day. which equation will help determine how many days it will take for the average charge per day for company a to be the same as the average charge per day for company b? responses 32d
Equation that will help determine how many days it will take for the average charge per day for company a to be the same as the average charge per day for company b is [tex]\frac{80+22d}{d} = 32d[/tex]
For finding the equation we will first form separate equations of both company a and company b and then we will equate the formed equation to find the number of days.
Let the number of days be d.
For company a, we will first add the service charges and per day charge multiplied with number of days, and then divide the sum with number of days.
= [tex]\frac{80+22d}{d}[/tex]
For company b, we will multiply the per day charges with the number of days.
= [tex]32d[/tex]
Now, we will equate both the formed equation
[tex]\frac{80+22d}{d} = 32d[/tex]
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which expressions will have a positive answer? assume all variables represent numbers larger than zero (select all that apply)
Answer:
bro do u have a pic i will give u your points back but i need a pic to help
Step-by-step explanation:
out of the 10,000 people who took their driving test for the first time, it was found that 6500 passed the test on the first attempt. estimate the probability that a randomly selected person would pass the driving test on the first attempt.
To estimate the probability that a randomly selected person would pass the driving test on the first attempt, we can divide the number of people who passed on the first attempt (6500) by the total number of people who took the test (10,000).
Probability = Number of favorable outcomes / Total number of possible outcomes.In this case, the favorable outcome is passing the test on the first attempt, and the possible outcomes are all the people who took the test.
Probability = 6500 / 10000= 0.65
Therefore, the estimated probability that a randomly selected person would pass the driving test on the first attempt is 0.65 or 65%. This means that there is a 65% chance that a randomly selected person from the group of 10,000 would pass the driving test on their first try.
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A store purchases battery chargers
from the manufacturer for $10 each.
Calculate the sticker price for the
chargers in order to achieve an 80%
gross margin.
A. $50.00
C. $20.00
B. $12.50
D. $18.00
In order to achieve an 80% gross margin, the store would need to sell the battery chargers for $50 each - A
Finding cost Price of sticker
The gross margin is the difference between the selling price and the cost of the item, expressed as a percentage of the selling price. To achieve an 80% gross margin, we need to set the selling price such that 80% of it represents the profit on the item.
Let's call the selling price of the battery charger S. The profit on the item is S - $10, since that is the cost of the item. So, to achieve an 80% gross margin, we want:
(S - $10) / S = 0.80
Expanding and solving for S:
S - $10 = 0.80S
0.20S = $10
S = $50
So, in order to achieve an 80% gross margin, the store would need to sell the battery chargers for $50 each. That would be the sticker price for the chargers.
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Ata school
number of boys : number of girls = 11: 9
There are 124 more boys than girls.
Work out the total number of students at the school.
Answer:
Step-by-step explanation:
Let's call the number of boys "b" and the number of girls "g". From the ratio, we know that b/g = 11/9.
Also, we know that b = g + 124, so we can substitute the second equation into the first:
b/g = 11/9
b = g + 124
g + 124 / g = 11/9
Cross multiply:
9g + 1112 = 11g
Solve for g:
-2g = -1112
g = 556
So there are 556 girls and 556 + 124 = 680 boys at the school.
The total number of students at the school is 556 + 680 = 1236.
Dr. Drew consumes 16 ounces of a caffeinated beverage first thing in the morning. Caffeine wears off at a rate of approximately 10.9% an hour. If you were to construct an exponential model to calculate the amount of caffeine left in Dr. Drew’s system after any number of hours, what would the initial value be?
On solving the provided question, we can say that in a day, the expression will be 16*24 of 10.9% = 384 od 10.9% = 41.856
What is expression?In mathematics, it is pοssible to multiply, divide, add, or remove. The construction of an expression is as follows: Expressiοn, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expressiοn (such as addition, subtraction, multiplicatiοn or division etc.) Expressions and phrases can be cοntrasted.
Any mathematical statement with variables, numbers, and an arithmetic οperation between them is called an expression or an algebraic expression. Fοr instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expressiοn, all of which are separated by the arithmetic sign +.
Dr. Drew cοnsumes 16 ounces of a caffeinated beverage first thing in the mοrning
Caffeine wears off at a rate of apprοximately 10.9% an hour.
in a day, the expression will be 16*24 of 10.9% = 384 od 10.9% = 41.856
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question 3
pls help me as soon as possible
i'm being timed i only have a hour
The measure of arc FE in the figure is 100 degrees
How to determine the measure of arc FEFrom the question, we have the following parameters that can be used in our computation:
The circle and the intersecting chords
The value of arc FE represented by x is then calculated as
80 = 1/2(x + 60)
Cross multiply the equation
This gives
x + 60 = 160
Subtract 60 from both sides
x = 100
Hence, the measure of x is 100 degrees
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What is the weight of a 35. 99-carat diamond in grams and ounces? (1 carat=0. 2 g)
The 35.99-carat diamond weighs approximately 7.198 grams (0.254 ounces).
We can use the conversion factor of 1 carat = 0.2 g to convert carats to grams.
Diamond weight in grams: 35.99 carats x 0.2 g/carat = 7.198 g (rounded to three decimal places)
We can use the conversion factor of 1 ounce = 28.3495 g to convert the weight in grams to ounces.
Diamond weight in ounces: 7.198 g / 28.3495 g/o z = 0.254 o z (rounded to three decimal places)
Carats are now commonly used to measure the weight of gemstones, including diamonds, and are abbreviated as "ct." A 1-carat diamond, for example, weighs 0.2 grams while a 2-carat diamond weighs 0.4 grams.
As a result, the 35.99-carat diamond weighs approximately 7.198 grams (0.254 ounces).
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what is the least number that can be made using each digit exactly once? explain why the value of the 4 is greater than the value of the 6
Answer: The least number that can be made using each digit exactly once is 123456789. The value of 4 is greater than the value of 6 because in the decimal system (base 10), the position of a digit determines its value. The leftmost digit represents the greatest place value (ones, tens, hundreds, etc.) and each subsequent digit represents a smaller place value. In the number 123456789, the 4 is in the thousands place, which has a greater value than the 6, which is in the tens place.
Therefore, the 4 has a greater value than the 6 because it represents a larger place value.
Step-by-step explanation:
i need help to understand and get this answer
Answer:
6
Step-by-step explanation:
12 is the full length. point E marks 1/2 of the line. 12-6=6
if it's asking the length of d-e, then the answer is (6) because the entire length of line is twelve and in the top line e-f in 6 and 6-12=6
FULL ANSWERS ONLY AND SHOW WORK
For each of the three expressions, rationalize the denominator and simplify. Show all steps needed to get the answer.
1)
5/4- srt3
a) What is the conjugate of the denominator?
b) Use the conjugate to rationalize the denominator. What is the simplified answer after rationalizing? Use ‘sqrt’ for square root as needed.
2.
a) What is the conjugate of the denominator?
b) Use the conjugate to rationalize the denominator. What is the simplified answer after rationalizing? Use ‘sqrt’ for square root as needed.
3.
a) What is the conjugate of the denominator?
b) Use the conjugate to rationalize the denominator. What is the simplified answer after rationalizing? Use ‘sqrt’ for square root as needed.
Answer:
Step-by-step explanation:
The simplified expression after rationalizing the denominator are:
1) (17 + √3)/13.
2) -3(2+√5)/5.
What is rationalizing the denominator?
To rationalize the denominator with two terms, find the conjugate of the denominator. Then multiply and divide the fraction by the conjugate of the denominator.
1).
a) The conjugate of the denominator is 4 + √3.
b) To rationalize the denominator, we need to multiply both the numerator and the denominator by the conjugate of the denominator:
(5/4 - √3) * (4 + √3) / (4 + √3) * (4 - √3)
Simplifying the numerator:
5(4) + 5(√3) - 4(√3) - 3 / 13
= (17 + √3)/13
Therefore, the simplified expression after rationalizing the denominator is (17 + √3)/13.
2).
a) The conjugate of the denominator is 1 - √2.
b) To rationalize the denominator, we need to multiply both the numerator and the denominator by the conjugate of the denominator:
2 / (1 - √2) * (1 + √2) / (1 + 2)
Simplifying the numerator:
2(1 + √2) / (-1 + 2)
= -2(1 + √2)
Therefore, the simplified expression after rationalizing the denominator is -2(1 + √2).
a) The conjugate of the denominator is 2 + √5.
b) To rationalize the denominator, we need to multiply both the numerator and the denominator by the conjugate of the denominator:
3 / (2 - √5) * (2 + √5) / (2 + √5)
Simplifying the numerator:
3(2 + √5) / (-5)
= -3(2+√5)/5.
Therefore, the simplified expression after rationalizing the denominator is -3(2+√5)/5.
Hence, the simplified expression after rationalizing the denominator are:
1) (17 + √3)/13.
2) -3(2+√5)/5.
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Solve this equation for m
Please help ASAP I need the correct answers please
The equation solved for m is written as:
(y - b)/x = m
How to solve the equation for m?
Here we have a general linear equation:
y = m*x + b
And we want to solve the equation for m, this means that we need to isolate the variable m in that equation.
We will get:
y = m*x + b
y - b = m*x
(y - b)/x = m
That is the equation solved for m.
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Randal’s dad is installing a new pool in their backyard. The pool is a square and has an area of 144 ft .
Randal’s dad will then build a 7 ft wide deck to surround the pool. What is the outside perimeter of the deck?
Answer: Let's call the side length of the square pool "s". We know that the area of a square is equal to the length of one side squared, so we can set up an equation:
s^2 = 144
We can solve for s by taking the square root of both sides:
s = sqrt(144) = 12
So the side length of the pool is 12 feet.
The outside perimeter of the deck is equal to the perimeter of the square pool plus the width of the deck on each side (7 feet). So the outside perimeter is:
12 + 7 + 7 + 12 + 7 + 7 = 52 feet
So the outside perimeter of the deck is 52 feet.
Step-by-step explanation:
Answer: 52 feet
Step-by-step explanation:
First, we know this is a square. So, if the area is 144, square root of 144 is 12 (12 * 12 = 144)
Adding a width of 7 feet to each side means that we can add 12+12+7+7+7+7.
52 feet!
(っ◔◡◔)っ ♥
Hope this helps.
MM4343
Question 1(Multiple Choice Worth 2 points)
(Scale Factor MC)
A toy company is building dollhouse furniture. A rectangular door of a dollhouse has a height of 7 centimeters and a width of 3 centimeters. What is the perimeter of the door on a scale drawing that uses the scale 3:5?
33 cm
20 cm
14 cm
12 cm
Question 2(Multiple Choice Worth 2 points)
(Scale Factor MC)
A picture is 7 inches wide and 9 inches long. A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long. What scale factor was used to enlarge the picture?
9 over 7
7 over 9
31.5 over 7
7 over 31.5
Question 3(Multiple Choice Worth 2 points)
(Scale Factor LC)
Figure 1 and figure 2 are right triangles.
two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 4 units long
What scale factor was used to produce Figure 2 from Figure 1?
3
4
3 over 4
4 over 3
Question 4(Multiple Choice Worth 2 points)
(Scale Factor MC)
A triangle with a perimeter of 24 meters was created from a triangle with a perimeter of 3 meters using a scale factor. What is the scale factor?
8:1
28:1
32:1
72:1
Question 5(Multiple Choice Worth 2 points)
(Scale Factor MC)
A rectangular flag is 80 centimeters by 92 centimeters. What are the dimensions of a scale drawing of the flag using the scale 1:4?
20 cm by 23 cm
320 cm by 360 cm
8 cm by 9.2 cm
1.15 cm by 4.35 cm
Question 6 (Essay Worth 4 points)
(Scale Factor HC)
A rectangular oil painting is 14 inches wide and 24 inches long. A museum wants to create a larger print of the painting using a scale factor of 3.
Part A: What are the dimensions of the print, in feet? Show every step of your work. (2 points)
Part B: What is the area of the print, in square feet? Show every step of your work. (2 points)
pls help me
pls homework
I need help in both questions
The complete question:
A carpet is laid on a rectangular floor of length 12m and breadth 8m. This leaves a margin of width 1m round the carpet. What is the area of the carpet?
Solution:
The area of the carpet laid on a rectangular floor of length 12m and breadth 8m is, 56 meter²
What is the area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
The area of the carpet can be calculated by subtracting the area of the margin from the total area of the rectangular floor.
The total area of the floor is:
= 12m x 8m
= 96 square meters.
The area of the margin is:
= 2 x (12m + 8m) x 1m
= 40m.
Therefore, the area of the carpet is:
= 96m² - 40m²
= 56 meter²
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increase the number 22.5 by 0.4 of it
Answer:
Step-by-step explanation:
22.9
how many people have to be in a room in order that the probability that at least two of them celebrate their birthday in the same month is at least assume that all possible monthly outcomes are equally likely.
The people having to be in a room in order that the probability that at least two of them celebrate their birthday in the same month is at least 1/2 is 5.
X = No of people having same month birth day
We need, P(X 2) ≥ 1/2
= 1-P(X ≤1) ≥ 1/2
1-P(No one having same month birth day) ≥ 1/2
P(No one having same month birth day)≤ 1/2..........................(1)
Now, k = Minimum no of people required to satisfy (1)
P(No one having same month birth day) =
[tex]\frac{11*10*9......*(12-k+1)}{12*12*12......*12}[/tex]
for k= 4
P(No one having same month birth day) =
[tex]\frac{11.10.9}{12.12.12} = 0.572 \geq 0.5[/tex]
for k= 5
P(No one having same month birth day) =
[tex]\frac{11.10.9.8}{12.12.12.12} = 0.38 \leq 0.5[/tex]
Therefore , the people having to be in a room in order that the probability that at least two of them celebrate their birthday in the same month is at least 1/2 is 5.
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8-12
find the missing measures if they are all parallelograms
Answer: Parallelogram angles add up to 360, so use angle properties and known measures.
Step-by-step explanation:
TRIGONOMETRY PERIMETER
The perimeter of the triangle is
13.82 inHow to find the perimeter of the triangle'The perimeter of the triangle is sum of the length of the sides
The sides are solved as follows using trigonometry relations
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
Solving for NM using tan
tan 59 = 5 / NM
NM = 5 / tan 59 = 3
Solving for LN
sin 59 = 5 /LN
LN = 5 / sin 59 = 5.83
The perimeter of the triangle
= 5.83 + 5 + 3
= 13.82 in
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Aubrey is making bead kits. Each one contains 20 red beads and 15 gold beads.
Part A
Drag numbers to complete the table to show how many red beads and gold beads are in different numbers of bead kits.
Numbers may be used once, more than once, or not at all.
75 added to
75803515401003060
Kits Red Beads Gold Beads
1 20
15
2
40
30
3
60
45
4
80
60
5
100
75
Part B
Use the drop-down menus to complete the rule for each bead color.
Red: Add
20
.
Gold: Add
15
.
Part C
Choose all the ordered pairs that represent the number of red beads and gold beads in kits.
A.
(
20
,
15
)
B.
(
20
,
40
)
C.
(
30
,
45
)
D.
(
80
,
60
)
E.
(
100
,
75
)
Part D
Which of the following graphs shows the relationship between the number of red beads and gold beads in kits?
A.
A graph named “Bead Kits” on a coordinate plane with “Number of Red Beads” on x-axis and “Number of Gold Beads” on y-axis is shown. The diagonal line is going up and to the right. The line passes through the points (0, 0), (15, 20), (30, 40) and (45, 60).
B.
A graph named “Bead Kits” on a coordinate plane with “Number of Red Beads” on x-axis and “Number of Gold Beads” on y-axis is shown. The diagonal line is going up and to the right. The line passes through the points (0, 0), (30, 20), (45, 30), (60, 40), (75, 50) and (90, 60).
C.
A graph named “Bead Kits” on a coordinate plane with “Number of Red Beads” on x-axis and “Number of Gold Beads” on y-axis is shown. The diagonal line is going up and to the right. The line passes through the points (10, 0), (20, 10), (40, 30) and (60, 50).
D.
A graph named “Bead Kits” on a coordinate plane with “Number of Red Beads” on x-axis and “Number of Gold Beads” on y-axis is shown. The diagonal line is going up and to the right. The line passes through the points (0, 0), (20, 15), (40, 30), (60, 45) and (80, 60).
Part E
What would the ordered pair
(
60
,
45
)
represent? Use the drop-down menus to show your answer.
When there are 60
red
beads in kits, there will be 45
gold
beads.
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The ordered pair that represent the number of red beads and gold beads is A. D, and E.
What is ratio and proportion?Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.
From the table we observe that the number of red beads and the gold beads are in the proportion x : y = 4 : 3.
Using the proportion we see that:
A: (20, 15) = 20 : 15 = 4 : 3
D: (80,60) = 4: 3
E = (100, 25)= 4:3
Hence, the ordered pair that represent the number of red beads and gold beads is A. D, and E.
Learn more about ratio here:
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On a cold day the temperature at Thabana was 6 degres it dropped by 7 degres during the night how many degres will the night temperature be?
Answer:
Step-by-step explanation: The temperature at Thabana dropped by 7 degrees, so we can calculate the night temperature by subtracting 7 from the original temperature of 6 degrees:
Step 1: Subtract 7 from 6:
6 - 7 = -1
Step 2: The night temperature will be -1 degrees.