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3 years ago

Tickets to the aquarium cost $27 per person. Write an expression to represent the total cost of a group of people.

Mathematics

1 answer:

Softa [21]3 years ago

7 0

27p (people) = c (cost)

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The length of a rectangle is 3 meter shorter than3 times its width.Find the length and width if the perimeter is 210 meters

Shkiper50 [21]

Answer:

length = 78 m , width = 27 m

Step-by-step explanation:

let w represent width then length l = 3w - 3

the perimeter (P) is calculated as

P = 2l + 2w = 210 , substitute values

2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side

6w - 6 + 2w = 210

8w - 6 = 210 ( add 6 to both sides )

8w = 216 ( divide both sides by 8 )

w = 27 and l = 3(27) - 3 = 81 - 3 = 78

Then length = 78 m and width = 27 m

8 0

3 years ago

If one bag of grass seed will cover 225 square feet, what is the minimum number of bags the haney family will need to cover thei

Veronika [31]

Answer:

9 bags

Step-by-step explanation:

First we will need to calculate the area of their entire backyard, which has a shape of trapezium.

So the formula for the area of a trapezium is $A=\frac{(a+b)*h}{2}$

a and b are the lenghts of the parallel sides and h is the height.

From the picture $a=10*5=50\\b=9*5=45\\h=8*5=40$

Then we plug into our formula

$A=\frac{(a+b)*h}{2} =\frac{(50+45)*40}{2} = 1200$ square feet

To get the number of bags required we just simply divide the aree of their entire yard by the space that 1 bag covers. We get:

$\frac{1900}{225} =8.444...$ bags

This is more than 8 bags so they will need 9 bags to cover their entire yard.

8 0

3 years ago

Write the following decimal number in its equivalent fraction form. Show all work for full credit.

Oduvanchick [21]

Negative 3143 over 1000 divide -3.143 by 1000 and there’s your answer

4 0

3 years ago

Choose the following ratios as a percent: 20 correct out of 25 problems<br> 25%<br> 80%<br> 20%

lions [1.4K]

20/25 * 4 = 80/100 = 80%

8 0

3 years ago

Find an equation of variation where y varies jointly as x and the square of z, and where y=70, when x=21 and z=5.

Bezzdna [24]

Answer:

$y = 181.75xz^2$

Step-by-step explanation:

Given

y jointly varies to x and z^2

Required

Find the equation

We start by writing out the variation;

$y\ \alpha\ xz^2$

Write as equation

$y = kxz^2$

Substitute values of x,y and z

$70 = k * 21 * 25^2$

$70 = k * 21 * 25 * 25$

$70 = k * 13125$

Divide both sides by 7

$\frac{70}{13125} = \frac{k * 131251}{13125}$

$\frac{70}{13125} = k$

$187.5 = k$

$k = 181.75$

Substitute k in $y = kxz^2$

$y = 181.75xz^2$

4 0

3 years ago