Question Progress
Towns K and L are shown on a map.
a) Work out the actual distance
between towns K and L.
Homework Progress
18/ 45 Marks
b) A third town, M, is 150 km due
South of town K.
Mark M on the map with
c) Measure the bearing of town L
from town K.
Xx
भ
42%
Scale: 1 cm represents 50 km
Answer:
a) When measuring, use a ruler.
b) Convert to centimeters and then draw the unit on the diagram using a ruler.
c) From K, calculate the angle between K and L.
Details are provided below.
A map displays the towns of K and L.
Calculate the exact distance.
among the towns of K and L.
A third town, M, is 150 kilometers away.
South of the city K.
Mark M with X on the map.
d) Calculate the town L's bearing.
of the town K.
Scale: 1 centimeter equals 50 km
Use a ruler to measure the distance between the towns of K and L in order to determine their real distance from one another.
You'd provide a centimeter-based response (cm).
Given the scale, 1 centimeter equals 50 km, so the answer would be multiplied by 50 km.
So, you'll receive the exact distance in kilometers.
c) This tells us that M is 150 miles overdue.
South of the city K.
Since the first diagram's length is expressed in centimeters, we must determine how many centimeters are equivalent to 150 kilometers.
50km = 1cm
(150 km x 1 cm)/50 km = 150 cm/50
150km = 3cm
The distance between K and M can now be shown on the diagram.
Using a ruler, measure 3 cm away from K in the south (straight line downwards). M would be 3 cm to the south of K when compared to K.
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Trey rented a truck for one day. there was a base fee of $15.95, and there was an additional charge of 99 cents for each mile driven. trey had to pay $188.21 when he returned the truck. for how many miles did he drive the truck?
250+15x=750-10x
Can someone solve this for me please
Answer:
x = 20
Step-by-step explanation:
250 + 15x = 750 - 10x ( add 10x to both sides )
250 + 25x = 750 ( subtract 250 from both sides )
25x = 500 ( divide both sides by 25 )
x = 20
Answer: x=20
Step-by-step explanation:
1 you Rearrange terms 250+15x=750-10x, 15x+250=-10x+750
2 you Rearrange terms 15x+250=750-10x, 15x+250=10x+750
3 subtracts 350 from both sides 15x+250=-10x+750, 15x+250-250=-10x+750-250
5^5=5x5x5x5x5=
i put 3125 but it wont work can someone help me with this
Answer: 4 i think
Step-by-step explanation:
which equation has no solution?
13y + 2 - 2y = 10y + 3 - y
9(3y + 7) - 2 = 3(-9y + 9)
32.1y + 3.1 + 2.4y - 8.2 = 34.5y - 5.1
5(2.2y + 3.4) = 5(y - 2) + 6y
With children, there is an apparent strong correlation between low family income and poor performance in school. How did susan mayer’s research undermine the hypothesis that low income causes poor school performance?.
Greater access to school boards and greater time for homeschooling would be advantageous for higher-income families.
These two elements will aid in educating the kids and directing them toward academic excellence, which will ultimately benefit those kids in the long run.
Susan has a destitute family to support in addition to her plans to attend college.
She tells her parents she would live with them and support them financially, but in truth, she plans to attend college and pursue her education while leaving her family behind.
She is battling an internal conflict where she prioritizes her needs over those of her family.
The biggest issue today is one of health. The absence of illness does not imply good health. Illness is caused by a variety of circumstances, including a person's psychological, social, and physical health.
Poverty is correlated with low income, illiteracy, gender inequality, and environmental degradation. Poverty can also result from poor health. Wealthier individuals spend more on their health.
Additionally, the government invests in public health-related projects.
Therefore,
Greater access to school boards and greater time for homeschooling would be advantageous for higher-income families.
These two elements will aid in educating the kids and directing them toward academic excellence, which will ultimately benefit those kids in the long run.
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In 2014, Country x had 783 miles of paved roads. Starting in 2015, the country has been building 8 miles of new paved roads each year. After 2 years, how many miles of road will there be?
Alexa is looking at T-Mobile for getting an Iphone. The promotion states that they will charge her $45 for activation fee and $64 per month. Write a linear equation for the amount T-Mobile will charge Alexa.
The linear equation for the situation mentioned can be written as T=a+mf, where "T" is the total cost of the the iPhone, "a" is then activation fee, "m" is the number of months of membership and "f" is the monthly membership fee. Hence T = 45 + 64m is our required equation.
As per the question statement, Alexa is looking at T-Mobile for getting an iPhone and the promotion states that they will charge her $45 for activation fee and $64 per month. We are supposed write a linear equation for the amount T-Mobile will charge Alexa.
Let the equation depicting the situation be T = a + mf, where
T = Total cost of the the iPhone
a = Activation fee
m= number of months of membership/installments
f = monthly fee amount for iPhone
If a = $45 and m=$64 then the equation becomes, T = 45 + 64m
So, if she pays for 10 months straight, m = 10, total price T will be:
T = 45 + 64(10) = 45 + 640 = $685.00.
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last one im asking i swear
Your test scores are 85 and 89 what possible scores can you earn on your next test to average between 87 and 91 inclusive?
Answer:
85,100
Step-by-step explanation:
85 <= (81 + 89 + x) / 3 <=90
255 <= 81 + 89 + x <=270
255 <= 81 + 89 + x <=270
174 <= 89 + x <= 189
85 <= x <= 100
x = 85, 100
Multiply (x + 1)3
(x + 1)3 = (x + 1)(x + 1)2
= (x + 1)(x2 + 2x + 1)
= x3 +
x2 +
x +
The solution of the expression (x + 1)³ will be;
(x + 1)³ = (x + 1) (x + 1)²
= (x + 1) (x² + 2x + 1)
= x³ + 3x² + 3x + 1
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
Given that;
The expression is;
⇒ (x + 1)³
Now, Solve the expression as;
The expression is;
⇒ (x + 1)³
Expand it as,
⇒ (x + 1)³ = = (x + 1) (x + 1)²
= (x + 1) (x² + 2x + 1)
= x³ + 2x² + x + x² + 2x + 1
= x³ + 3x² + 3x + 1
Therefore,
The solution of the expression (x + 1)³ will be;
⇒ (x + 1)³ = (x + 1) (x + 1)²
= (x + 1) (x² + 2x + 1)
= x³ + 3x² + 3x + 1
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Answer:
3
3
1
Step-by-step explanation:
Work out the area of this triangle. 11 cm 4 cm 6 cm
Answer: 22, 12 or 33
Step-by-step explanation:
11cm is the base and 4 is the height your answer is 22 if 6cm is the base and 4 is the height your answer is 12 and if 6 is your height and 11 is your base your answer is 33
For each value of x, determine whether it is a solution to 30 > 5x.
X
6
12
2
4
Is it a solution?^
Yes
No
Answer: 6, No. 12, yes. 2 and 4 No.
Step-by-step explanation:
Simplify the inequality:
6 > x which means that any x that is less than 6 is not a solution.
A recipe for sparkling lemonade calls for 1/2 tablespoon of lemonade mix and 3/4
A recipe for sparkling lemonade calls for 1/2 tablespoon of lemonade mix and 3/4 cup of sparkling water. Find how many tablespoons of lemonade mix it takes per cup of sparkling water. pls, help me :(
The tablespoons of lemonade mix that it takes per cup of sparkling water is 0.67 tablespoon.
How to calculate the value?From the information, a recipe for sparkling lemonade calls for 1/2 tablespoon of lemonade mix and 3/4 cup of sparkling water.
Let the number of tablespoon be represented as x.
Based on the information given, the expression will be:
1/2 / 3/4 = x/1
0.5 / 0.75 = x/1
Cross multiply
0.75 × x = 0.5
0.75x = 0.5
Divide
x = 0.5 / 0.75
x = 0.67
0.67 tablespoon is needed.
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Find the value of f(-8)
Answer:
f(-8) = 2
Step-by-step explanation:
y = f(x)
Here, x co-ordinate is an input value, and the y co-ordinate of each point is the corresponding output value.
x = -8. The corresponding y value of -8 is 2
f(-8) = 2
In a blueprint of a building, a conference room is 6 inches long and 4 inches wide. The scale factor is 2 inches: 7 feet.
What are the dimensions of the conference room? Enter the answer in each box.
The conference room is
feet long and
feet wide.
The conference room is 21 feet long and 14 feet wide.
Given that, in a blueprint of a building, a conference room is 6 inches long and 4 inches wide.
What is the scale factor?Scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size. It is used to draw the enlarged or reduced shape of any given figure and to find the missing length, area, or volume of an enlarged or reduced figure.
Here, the scale factor is 2 inches : 7 feet.
Now, length = 6 inches
= 2 inches + 2 inches + 2 inches
= 7 feet + 7 feet + 7 feet
= 21 feet
Width = 4 inches
= 2 inches + 2 inches
= 7 feet + 7 feet
= 14 feet
Therefore, the conference room is 21 feet long and 14 feet wide.
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Whoever Answers First I Will Make Brainiest
12−{1+2[−1(3−8)]2}
Answer:
-39
Step-by-step explanation:
12 - {1+2[-1(3-8)]²}
=12 - {1+2[-1(5)]²} solve the parenthesis first
=12 - {1+2[5]²} multiple the 5 by -1
=12 - {1+2[25]} then square the 5
=12 - {1+50} multiple 25 by 2
=12 - 51 solve the curly bracket
= -39 finally solve it
Can somebody please explain what domain and range is on a graph and how to find them.
Answer:
Domain: x-values
Range: y-values
-
In the graph,
Domain: {-6, 4} or you could write {-6,-5,-4,-3,-2,-1,0,1,2,3,4}
Range: {-9,7} or you could write {-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}
-
(Please look at the picture attached, and read what's written above. You'll get a better understanding)
An inspector examines items coming from an assembly line. A review of her record reveals that she accepts only 8% of all defective items. It was also found that 1% of all items from the assembly line are both defective and accepted by the inspector. What is the probability that a randomly chosen item from this assembly line is defective? write your answer in decimals, not percentage. Do not round your answer.
The probability that a randomly chosen item from this assembly line is defective is 0.125.
How to calculate the probability?Probability simply means the likelihood of the occurence of an event.
From the information, the review of her record reveals that she accepts only 8% of all defective items and it was also found that 1% of all items from the assembly line are both defective and accepted by the inspector.
Therefore, the probability will be:
= Percentage of detectives / Percentage of defective accepted
= 1% / 8%
= 0.01 / 0.08
= 0.125
The probability is 0.125.
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a cowboy agreed to work for one year for plus a horse. he quit after 7 months and was paid plus a horse. how many dollars was the horse worth, if the paid salary reflects the fair proportion of his yearly salary?
The worth of the horse is 1800 dollars
Given that a cowboy worked for one year for 19,200 plus a horse.
After 7 months, he quit and was paid 10,450 but got to keep the horse.
We need to find the worth of the horse.
Here, the horse is part of the payment in total, so it has to be used as a variable when setting up the proportion.
Let us consider the net worth of the horse to be H
solving for H,
[19,200 + H] / 12 = [10,450 + H] / 7
Now, cross multiply
134,400 + 7H = 125,400 + 12H
134,400 - 125,400 = 12H - 7H
9,000 = 5H
H = 9,000 / 5
H = $1,800
Hence, the net worth of the horse, H is $1,800.
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If 30 % of x =20 ,find value of x
Answer:
[tex]\sf 66\dfrac{2}{3}[/tex]
Step-by-step explanation:
Finding value of 'x':
[tex]\sf 30 \% \ of \ x = 20\\\\\\ \dfrac{30}{100}*x = 20\\\\[/tex]
To find the value of x, multiply both sides with the multiplicative inverse (Reciprocal) of 30/100.
[tex]\sf x = 20*\dfrac{100}{30}\\\\x = \dfrac{200}{3}\\\\x= 66\dfrac{2}{3}[/tex]
A regulation-sized gymnasium is 80 feet wide and 100 feet long. If a scale model of the gymnasium is 12 inches long, how wide is the model?
The width of the scale model is 9.6 inches long
How to determine the width of the model?The dimensions of the regulation-sized gymnasium is given as
80 feet wide by 100 feet long
This means that
Width = 80 feet
Length = 100 feet
For the scale model, we have
Length = 12 inches
The scale can be represented as
Scale = Length : Width
This means that
12 inches : Width = 100 feet : 80 feet
Express as fraction
So, we have
Width/12 inches = 80 feet/100 feet
This gives
Width/12 inches = 0.80
Multiply both sides by 12 inches
Width = 9.6 inches
Hence, the width is 9.6 inches
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(-1,4) -3
in slope intercept form and how to do it
The equation of line that passes through the point (-1,4) and slope = -3 , in slope intercept form is y = (-3)x + 1 .
The Slope Intercept Form of the line is represented by
y=mx+c
where , m is the slope
and
c is the y-intercept
In the question ,
it is given that
the slope of the line is = -3 .
So, the equation of line becomes
y = (-3)x+c ...(i)
As this line passes through (-1,4) , it will satisfy the equation of line
Substituting the values x as -1 , y as 4 , in equation(i) ,
we get
4 = (-1)(-3) + c
4 = 3 + c
c = 4-3
c = 1
So, the y intercept(c) is 1 .
Hence the equation of line becomes y = (-3)x + 1 .
Therefore , the equation of line that passes through the point (-1,4) and slope = -3 , in slope intercept form is y = (-3)x + 1 .
The given question is incomplete , the complete question is
write the equation of line in slope intercept form that passes through the point (-1,4) and has slope as -3 .
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I need help with this ASAP!!
The difference between the distances is 35 km.
Given, the car started at a distance 40 km.
The car finished the ride at 5 km.
The distance formula, d = st, or distance equals speed times time, can be used to calculate distance. Speed and rate are comparable because they both denote a certain amount of travel per unit of time, such as miles per hour or kilometers per hour. If speed s is equal to rate r
The difference between the distance is:
difference is:
40-5
= 35 km
Hence the difference between the distances are 35 km.
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Dawn bought 10 apples and 6 mangoes for $58.00. Each mango was $1.00 cheaper than an apple. Sita bought 4 apples and 4 mangoes from the same vendor. How much did Sita pay for the apples and mangoes if the prices were unchanged?
match each percent with the fraction or decimal equivalent.
Answer:
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Ann's car can go 252 miles on 7 gallons of gas. During a drive last weekend, used 4 gallons of gas. How far did drive? Use pencil and paper. Explain how the problem changes if you were given the distance drove last weekend instead of how much gas used.
The distance that Ann drove last weekend is 144 miles.
What is the distance that Ann drove?The first step is to determine the rate of Ann's car. Rate is the distance traveled per gallon. It is determined by dividing the total miles traveled by the total gas used.
Rate = distance/gallons
= 252/ 7 = 36 miles per gallon
The next step is to multiply the rate by the gallons she used last weekend. Multiplication is the process of determining the product of two or more numbers. The sign that represents multiplication is x.
Distance Ann traveled = rate x gallons of gas used
= 36 x 4 = 144 miles
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The distance Ann's car travelled using 4 gallons is 144 miles.
What is the distance travelled?The first step is to determine how many miles Ann's car can go using one gallon. To do this, calculate the rate of Ann's car. Rate is the total distance divided by the total gallons.
Miles travelled on one gallon = 252 / 7 = 36 gallons per mile
Now, multiply the rate by the gallons she has. Multiplication is the process that is used to determine the product of two or more numbers.
Total distance travelled = 36 x 4 = 144 miles.
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I need help please ASAP!!
Answer: x + 2y > 8
Step-by-step explanation:
2x + 4y + 5 + 35 > 56
Isolate variables
2x + 4y > 16
divide by lowest common denominator
x + 2y > 8
a right square pyramid has an altitude of 10 and each side of the bass is 6. to the nearest tenth of a centimeter, what is the distance from the apex or top of the pyramid, to each vertex of the base?
The distance of the top of the square pyramid will be 10.5 unit.
How to calculate the distance?It should be noted that based on the information, the hypotenuse theorem will be illustrated. This will be:
AC² = AB² + BC²
AB = length of the segment
BC and AC are the other two sides
This will be illustrated as:
AC² = 10² + (6/2)²
AC² = 100 + 9
AC² = 109
AC = ✓109
AC = 10.5
Therefore, the distance is 10.5 units.
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Which statement describes when the plans are based on the same number of aerobic exercise sessions?
Each plan utilizes a combination of 2 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 2 aerobic exercise sessions per week.
Each plan utilizes a combination of 3 strength-training sessions and 3 aerobic exercise sessions per week.
From the statements that are provided in the question, the statement that best describes when the plans is Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
What is word problem?A word problem are sentences describing a real-life scenario where a problem needs to be solved by mathematical calculation.
Ideally, for the best health benefits, such as increasing strength and aerobic and reduction in heart diseases, it is suggested to do a combination of strength training and aerobic training for at least five times a week.
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week. is the correct statement
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