Answer:
It is impossible, because u can say x is 5 and y is 1 or x is 9 and y is 3
Please help!!! See imagine bellow!!!
Answer:
onomatopoeia
Step-by-step explanation:
Three girls share R12000 in the ratio 2:3:7 calculate how much each girl will get show calculations
According to the ratio , the three girls shares are R2000,R3000 and R7000.
What is ratio?
When two numbers are compared, the ratio between them shows how often the first number contains the second. As an illustration, the ratio of oranges to lemons in a dish of fruit is 8:6 if there are 8 oranges and 6 lemons present.
Here the given total share amount is R12000.
Now the ratio for three girls is 2:3:7.
Total = 2+3+7=12
Now the share amounts are,
=> [tex]\frac{2}{12}\times 12000[/tex] = [tex]2\times1000=R2000.\\[/tex]
=> [tex]\frac{3}{12}\times=3\times1000=R3000[/tex]
=> [tex]\frac{7}{12}\times12000=7\times1000=R7000[/tex]
Hence the three girls shares are R2000,R3000 and R7000.
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A factory produces 600 jars of peanut butter and 250 jars of mixed nuts per day. Which shows the ratio of mixed nuts to peanut butter?
y= a(1+r)t
1. The sales of McDonald's for one year is $650,000. Their sales are increasing at a rate of
4% per year. What will be their sales after 5 years?
a=
r=
t =
2. The population of a school is 800 students and is increasing at a rate of 2% per year.
What will be their population after 6 years?
a=
r=
t =
3.There are 70 northern sea otters that are seeing a growth at a rate of 18%.What will their population be after 4 years?
a=
r=
t=
4. Annual sales for a furniture stores are $375,000 and are increasing at a rate of 6.75% each year.What will their sales me after 9 years?
a=
r=
t=
5. The population of Indiana showed an annual growth rate of 0.6%.Their population in 1999 was 273,000,000. What will their population be in 2007?
a=
r=
t=
1) If the sales of McDonald's for one year is $650,000 and increasing at 4% annually (exponential growth), their sales after 5 years will be $790,824.
2) If the population of a school is 800 students and is increasing at a rate of 2% per year (exponential growth), after 6 years, the population will be 901.
3) With 70 northern sea otters growing at a rate of 18% annually (exponential growth), after 4 years, the population will be 136.
4) If the annual sales for a furniture stores are $375,000 and increasing (exponential growth) at a rate of 6.75% each year, the sales after 9 years will be $675,060.
5) If the population of Indiana showed an annual growth rate of 0.6% (exponential growth) and their population in 1999 was 273,000, the population in 2007 will be 286,383.
What is exponential growth?Exponential growth refers to the consistent increase in quantity over time and at a constant growth rate.
Exponential growths are modeled using the exponential growth function y = a(1+r)^t.
1. McDonalds:
y= a(1+r)^t
Where a = $650,000
r = 0.04 (4%)
t = 5 years
Sales after 5 years, y= a(1+r)^t
= $650,000 (1.04)^5
= $650,000 × 1.2166529
= $790,824
2) School Population:
Current population = 800
Annual increasing rate = 2%
a = 800
r = 2%
t = 6 years
Population after 6 years, y= a(1+r)^t
= 800(1.02)^6
=901
3) Northern Sea Otters:
a = 70
r = 18% or 0.18
t = 4 years
Population after 6 years, y= a(1+r)^t
= 70(1.18)^4
= 136
4) Furniture Stores:
a = $375,000
r = 6.75% or 0.0675
t = 9 years
Sales after 9 years, y = a(1+r)^t
= 375,000(1.0675)^9
= $675,060
5) Indiana Population:
a = 273,000
r = 0.6% or 0.006
t = 8 years (2007 - 1999)
Population after 8 years, y = a(1+r)^t
= 273,000(1.006)^8
= 286,383
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12 points Please help!
all of them are equivalent
A right circular cylinder has a height of 1934 ft and a diameter 125 times its height.
What is the volume of the cylinder?
Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Answer: 545,884,646.36 ft3.
Step-by-step explanation:
The volume of the cylinder is calculated using the formula V=πr2h, where r is the radius of the cylinder and h is the height. The radius of the cylinder can be calculated by dividing the diameter (125 times the height) by 2.
Therefore, the radius = (125 * 1934) / 2 = 118,550 / 2 = 59,275 ft
Plugging in the values of radius and height into the formula, the volume of the cylinder is V = 3.14 * (59,275)2 * 1934 = 545,884,646.36 ft3
Rounding to the nearest hundredth, the volume of the cylinder is 545,884,646.36 ft3.
The graph shows g(x), which is a translation of f(x)=x2. Write the function rule for g(x).
The function g(x) is translation of f(x) 9 units up. The solution has been obtained by using transformation.
What is transformation?An operation known as a transformation involves moving a polygon or other two-dimensional object on a plane or coordinate system.
We are given that the function g(x) is a translation of the function
f(x) = x².
In the graph, we can see that the vertex of the parabola is at (0, 9).
This means that the function g(x) is 9 units up from the function f(x).
So, g(x) = x² + 9
Hence, the function g(x) is translation of f(x) 9 units up.
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4. Which transformation below would map the polygon A to the polygon B?
Polygon A has been translated to the right and reflected vertically
Polygon A has been rotated 90 degrees counterclockwise
Polygon A has been reflected horizontally and reflected vertically
Polygon A has been translated down and then right
The transformation below would map the polygon A to the polygon B is
Polygon A have translated to the right and reflected vertically.
What is Translation ?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
We have two polygon as A and B.
As, 90° clockwise rotation: (x, y) becomes (y,-x) 90° counterclockwise rotation: (x, y) becomes (-y, x).
But there is no change in the coordinate as such rule so rotation is not possible.
As we can see the figure Polygon A have translated to the right and reflected vertically.
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Answer: Polygon A has been reflected horizontally and reflected vertically
Step-by-step explanation: I took the quiz and it was the right answer
can i get more offers please thank you so much
Answer:
Step-by-step explanation:umm
The principal P is borrowed and the loan's future value A at time t is given. Determine the loan's simple interest rate r.
P = $2300, A = $2762, t = 6 months
The loan's simple interest is
%.
The loan's simple interest rate when the loan of $2,300 is taken will be 40.17%.
What is simple interest?Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,
The formula for interest is written as,
I = (PRT)/100
The value of the principal is $2,300 and the amount generated in six months is $2,762. Then the percentage rate is calculated as,
($2,762 - $2,300) = [$2,300 x r x (6/12)] / 100
46,200 = 1,150r
r = 40.17%
The loan's simple interest rate when the loan of $2,300 is taken will be 40.17%.
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Determine the inverse of the function f(x)=2(x-3)^2 +4
The correct statement regarding the inverse function is given as follows:
[tex]f^{-1}(x) = 3 - \sqrt{\frac{x - 4}{2}}[/tex], with a domain of x ≤ 3.
How to obtain the inverse function?The function for this problem is defined as follows:
f(x) = 2(x - 3)² + 4.
The axis of symmetry of the function is of x = 3, hence the domain of the inverse function is given as follows:
x ≤ 3.
The inverse function is obtained exchanging x and y and then isolating y, hence:
x = 2(y - 3)² + 4
2(y - 3)² = x - 4.
[tex](y - 3)^2 = \frac{x - 4}{2}[/tex]
[tex]y - 3 = \sqrt{\frac{x - 4}{2}}[/tex]
[tex]f^{-1}(x) = 3 - \sqrt{\frac{x - 4}{2}}[/tex]
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It took Matt 25 minutes to read a science article. It took him 13 times as long to read the assigned chapters in a history book. How long did it take Matt to read the history chapters?
The number of hours it would take to read the history chapters is 5 hours 25 minutes.
How long would it take to read the history chapters?In order to determine how long it would take to read the assigned chapters in the history book, multiply the time it take to read the science article by 13.
Multiplication is the mathematical operation that is used to determine the product of two or more values. The sign that is used to represent multiplication is x.
Time it would take to read the history chapters = 25 x 13 = 325 minutes
325 / 60 = 5 hours 25 minutes
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Camille made a quilt for her cousin's doll. The quilt had an 8 × 8 array of different color square patches. If each patch is 2 2/3 in long, what is the area of the whole quilt?
As a result, the total quilt's area is 512/9 square inches.
What is square used for?Square offers businesses a range of goods and services to help them complete sales deals, use marketing strategies, and control their finances, inventory, and workforce.
The quilt has an 8 x 8 array of square patches, which means it has a total of 8 x 8 = 64 square patches. Each square patch is 2 2/3 inches long.
To find the area of the whole quilt, we need to find the total area covered by all 64 square patches. We can do this by multiplying the length and width of one square patch by the total number of patches:
Area of one square patch = length x width = (2 2/3 in) x (2 2/3 in) = (8/3 in) x (8/3 in) = 64/9 sq in
Total area of all 64 square patches = (64 patches) x (64/9 sq in per patch) = 512/9 sq in
Therefore, the area of the whole quilt is 512/9 square inches.
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When Birchwood Elementary School opened for the first year, there were 240 students. During each of the following 10 years, the number of students increased exponentially. To determine the number of years (n) that had passed when the number of students reached 365, use the following equation.
240(1.15)n=365
After how many years did the number of students reach 365?
Responses
1 year
2 years
3 years
4 years
It took about 4.04 years for the number of students to reach 365.
The correct option is D.
What is Logarithmic?The logarithm is the opposite of exponentiation. This shows that the logarithm of x to the base of b is the exponent to which b must be raised in order to reach the number x.
Given:
There were 240 students enrolled in Birchwood Elementary School during its first academic year.
The number of students grew significantly throughout the course of each of the ensuing ten years.
We may use logarithms to find n, the number of years.
By multiplying both sides of the equation by their logarithms, we obtain:
log(240(1.15)ⁿ) = log(365)
Using the rule of logarithms that says log(ab) = log(a) + log(b) and the fact that log(1.15) is a constant,
we can simplify the left side of the equation:
log(240) + nlog(1.15) = log(365)
Subtracting log(240) from both sides, we get:
nlog(1.15) = log(365) - log(240)
Using the rule of logarithms that says log(a/b) = log(a) - log(b), we can simplify the right side of the equation:
nlog(1.15) = log(365/240)
nlog(1.15) = log(1.52083)
Dividing both sides by log(1.15), we get:
n = log(1.52083) / log(1.15)
n ≈ 4.04
Therefore, n = 4 years.
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Calculate the value of the expression-6(-5-4)-4(-3-2)=
Answer:
74
Step-by-step explanation:
-6(-5-4) - 4(-3-2)
30 + 24 + 12 + 8
= 54 + 12 + 8
= 66 + 8
= 74
Graph the line passing through (3,4) whose slope is m=−1.
The equation of the line passing through (3,4) whose slope is -1 will be y = - x + 7.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is -1. Then the equation is written as,
y = - 1x + c
The equation passes through (3, 4), then we have
4 = - 1(3) + c
4 = - 3 + c
c = 4 + 3
c = 7
The equation of the line passing through (3,4) whose slope is -1 will be y = - x + 7.
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i’m so confused with this question, can someone please give me an explanation?
The value of the sides are;
x = 6
HW = 37
AM = 32
WM = 44
How to determine the valueIt is important to note that one of the properties of an isosceles trapezoid is that the non-parallel sides are equal to each other.
From this deduction, we then have;
HW = AM
Given that;
HW = 6x + 1
AM = 3x + 19
Equate the lengths
6x + 1 = 3x + 19
collect the like terms
6x - 3x = 19 - 1
3x = 18
Make 'x' subject
x = 6
Then, HW = 37 and AM = 37
Substitute the value of x in
HA = 6x - 4 = 32
WM = 4x + 20 = 44
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Find how the perimeter and the area of the figure change when its dimensions change
The dimensions of the triangle have been doubled in this case so, the perimeter will also be doubled, and the area will be four times.
How do you calculate a triangle's area and perimeter?The entire area filled by a triangle's three sides on a two-dimensional plane is known as the triangle's area. A = 1/2 b h is the basic equation for a triangle's area, where b and h represent the base and height of the triangle, respectively.
The triangle's perimeter is equal to the product of its three sides.
This formula can be used to determine any triangle shape, including scalene, isosceles, and equilateral triangles. Remember that the base and height of a triangle are perpendicular to one another.
In the given question the original dimensions of the equal sides = 2.5 units.
The new dimensions of the equal sides = 5 units.
The dimensions here got doubled.
Therefore, when the dimensions of the triangle are doubled, the perimeter also gets doubled and the area of the triangle will increase four times.
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The dimensions of poster board paper at a store are 55 cm by 70 cm, and it sells at
$5.49. A second poster board paper measures 27.5 cm by 35 cm. Given the price of
the first poster board paper, what would be an appropriate price for the second
poster board paper? Give reasons for your answer.
The appropriate price for the second poster is $1.37. The dimensions is not equal but less than that of the first poster
How to determine the amountFrom the information given, we have that the poster takes form of a rectangle.
The formula that is used to calculate the area of a rectangle is usually expressed with the equation;
A = lw
The parameters are enumerated as;
A is the area of the rectanglel is the length w is the widthFor the first poster, we have;
Area = 55(70)
Multiply the values
Area = 3850 cm^2
Then, we have that;
3850 cm^2 = $5.49
Then, 27.5(35) = x
cross multiply the values
x = $1. 37
The dimensions of the first poster is two times greater than that of the second.
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'In how many different ways can we select a committee consisting of 3 engineers, 2 physicists, and 2 computer scientists from 10 engineers, 5 physicists, and 6 computer scientists? First guess.
The number of different ways will be 108000.
What is an arrangement?Permutations are various ways to arrange things in a specific order. It can also be stated as the linear reordering of items in an already ordered set.
A first guess for the number of ways to select a committee consisting of 3 engineers, 2 physicists, and 2 computer scientists from 10 engineers, 5 physicists, and 6 computer scientists could be to simply multiply the number of ways to select each group separately:
10 choose 3 x 5 choose 2 x 6 choose 2
This would give us the number of ways to select 3 engineers out of 10, 2 physicists out of 5, and 2 computer scientists out of 6.
The number of ways can be,
N = ¹⁰C₃ x ⁵C₂ x ⁶C₂
N = 10 x 9 x 8 x 5 x 6 x 5
N = 108000
Therefore, the number of different ways will be 108000.
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There are 28 apples in a basket the ratio to red to green is 3:1 how many apples are green and how many’s red
There are 21 green apples and 7 red apples
How to calculate the number of green and red apple?There are 28 apples in a basket
The ratio of red to green is 3:1
The first step is to calculate the total ratio, this can be achieved by adding the number of red to green apple
= 3+1
Total ratio= 4
The next step is to divide the total number of apples which is 28 by 4
= 28/4
= 7
The number of green apples can be calculated as follows
= 7 × 3
= 21
The number of red apples can be calculated as follows
= 7 × 1
= 7
Hence there are 21 green apples and 7 red apples
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12 - ___ =7.32
What is the missing blank
Answer:
Your blank answer is 4.68
Step-by-step explanation:
Well lets make the missing blank into a variable.
12 - x = 7.32
This way we can solve for x. Simplify.
Add x to both side.
12 = 7.32 + x
Subtract 7.32 to both side leaving you x.
12 - 7.32 = x
x = 4.68
Answer:
12 - 4.68 = 7.32
Step-by-step explanation:
Now we have to,
→ Find the missing number in the equation.
Let us assume that,
→ Missing number = m
Forming the equation,
→ 12 - m = 7.32
Then the value of m will be,
→ 12 - m = 7.32
→ -m = 7.32 - 12
→ -m = -4.68
→ [ m = 4.68 ]
Hence, the answer is 4.68.
HELPPP! A yard plan includes a rectangular garden that is surrounded by bricks. In the drawing, the garden
is 7 inches by 4 inches. The length and width of the actual garden will be 35 times larger than the
length and width in the drawing.
(a) What is the perimeter of the drawing? Show your work.
(b) What is the perimeter of the actual garden? Show your work.
(c) What is the effect on the perimeter of the garden with the dimensions are multiplied by 35?
Show your work.
Mrs. Smith has gallon of orange juice. She divides it equally
among her 8 grandchildren. How much orange juice does each
grandchild get?
Which equation models the situation?
Sara is making 3 batches of chocolate chip cookies and 3 batches of oatmeal cookies each batch of chocolate chip cookie uses 2 1/4 cups of flour. She will use 12 3/4 cups of flour for all six batches.
Which equation can be used to determine how many cups of flour are needed for each batch of oatmeal cookies?
Answer:
Step-by-step explanation:
If Sara is making 3 batches of chocolate chip cookies using 2 1/4 cups of flour per batch, then the total amount of flour she uses for the chocolate chip cookies is:
3 batches x 2 1/4 cups per batch = 6 3/4 cups of flour
Since she will use 12 3/4 cups of flour for all six batches, the amount of flour used for the oatmeal cookies can be found by subtracting the amount of flour used for the chocolate chip cookies from the total amount of flour:
12 3/4 cups - 6 3/4 cups = 6 cups
To determine how many cups of flour are needed for each batch of oatmeal cookies, we can divide the total amount of flour used for the oatmeal cookies by the number of batches:
6 cups ÷ 3 batches = 2 cups per batch
Therefore, the equation that can be used to determine how many cups of flour are needed for each batch of oatmeal cookies is:
Flour needed per batch of oatmeal cookies = Total flour needed for oatmeal cookies ÷ Number of oatmeal cookie batches
Or, in this case:
Flour needed per batch of oatmeal cookies = 6 cups ÷ 3 batches = 2 cups per batch.
Subtract. Express your answer in the simplest from. negative 3/9 - 6/9
Answer:
-1/3
Step-by-step explanation:
When adding or subtracting fractions, you don't add or subtract the denominators.
So, Start by subtracting the numerators
3/9 - 6/9 = -3/9
you can simplify this fraction by dividing both the numerator and denominator by 3
-3 ÷ 3 = -1
9 ÷ 3 = 3
So, the answer is:
-1/3
Hope this helps!
A technology salesperson earned $4008 commission on the sale of video equipment. If he earns 6% on all sales, what amount of video equipment did he sell?
Answer: We can start by using the formula for calculating commission:
Commission = Rate x Sales
where Rate is the commission rate and Sales is the amount of sales.
In this case, we know the commission earned ($4008) and the commission rate (6%), but we don't know the amount of sales. We can set up an equation and solve for Sales:
$4008 = 0.06 x Sales
Dividing both sides by 0.06, we get:
Sales = $4008 ÷ 0.06 = $66,800
Therefore, the salesperson sold $66,800 worth of video equipment.
Step-by-step explanation:
Terrell drove at a speed of 48 miles per hour for 21 hours. How far did he travel?
Given that £1 = $2, how much is $30 worth in Pounds (£)?
Answer:
15£
Step-by-step explanation:
if 1£=2$
then30$=30/2
15£
Solve for x. Leave as an improper fraction. 5 = 3x + 9
Answer:
x = -4/3
Step-by-step explanation:
hope this helps^^
