Linnea is renting a bike. It costs $4.50 per hour plus a $5 deposit. Answer parts a and b

The equation C = 20n + 35 represents the relationship between the cost of school volleyball uniforms, C, in dollars, and the num

Margaret [11]

The equation represent a linear relation with the y-intercept

representing the amount of initial fee.

Correct response:

1. 28 volleyball uniforms

2. Price per uniform

3. Initial flat order fee

4. 10 fewer volleyball uniform

<h3>Methods used for finding the above values</h3>

The given equation that represents the relationship between the cost of school volleyball uniform is; C = 20·n + 35

Where;

C = The uniform costs

n = The number of volleyball uniform ordered

The maximum amount the school has to spend = $600

1. The number of uniforms the school can buy is given by setting C = 600 as follows;

C = 20·n + 35

Therefore;

600 = 20·n + 35

20·n = 600 - 35 = 565

$n = \dfrac{565}{20} = \mathbf{28.25}$

Rounding down to the nearest whole number, we have;

The number of uniforms the school can buy, n = 28 volleyball uniforms.

2. The number 20 represent the additional cost for each extra uniform, which is the unit cost therefore;

20 represents a $20 price per uniform.

3. The 35 in the equation represents an initial flat fee, such as an

ordering or initial fee, which is fixed.

Therefore;

The number 35 represent the fixed cost for producing the uniforms

4. The price per uniform of $30 changes the coefficient of n from 20 to 30 as follows;

C = 30·n + 35

The number of uniforms the school can by with $600 is therefore;

$n = \dfrac{600 - 35}{30} = \mathbf{18.8 \overline 3}$

Which gives;

The number of uniforms the school can purchase at $30 per uniform is n = 18 volleyball uniforms

The difference in the number of uniforms purchased = 28 - 18 = 10

Therefore;

The school can purchase 10 fewer uniforms at $30 per uniform

Learn more about linear equations here:

brainly.com/question/10452752

4 0

2 years ago

Caroline, Krutika and Natasha share some sweets in the ratio 4:3:3. Caroline gets 9 more sweets than Natasha. How many sweets do

vagabundo [1.1K]

Answer:

Krutika gets 27 sweets

Step-by-step explanation:

Let

x ---> number of sweets that Caroline gets

y ---> number of sweets that Krutika gets

z ---> number of sweets that Natasha gets

we know that

$x:y:z=4:3:3$

so

$\frac{x}{y}=\frac{4}{3}$

$x=\frac{4}{3}y$ ----> equation A

$\frac{x}{z}=\frac{4}{3}$

$x=\frac{4}{3}z$ ----> equation B

$y=z$ ---> equation C

Caroline gets 9 more sweets than Natasha

so

$x=z+9$ ---> equation D

substitute equation D in equation B

$z+9=\frac{4}{3}z$

solve for z

$\frac{4}{3}z-z=9$

$\frac{1}{3}z=9\\z=27\ sweets$

therefore

Krutika gets 27 sweets

3 0

3 years ago

What is the square root for 3√729. Please show the steps

alina1380 [7]

$3 \sqrt{729}$

The square root of 729 is in fact 27, as it is a perfect square, but this is not well known, so we can figure it out like this:
What goes into 729 that are perfect squares? 81 and 9:

$3 \sqrt{81*9}$

Take the square root of 81 (9) and the square root of 9 (3). Move these to the outside of the square root (they will multiply with 3 since 3 is multiplied to the square root in the original problem)
$3 \sqrt{81*9} \\ 3*9*3$

Now, just multiply:
$3*9*3=81$

7 0

4 years ago

If a = 5, b =2 , and c = 6 what is the answer to 4bc?

True [87]

Step-by-step explanation:

Solution,

Given:-

a=5
b=2
c=6

To find:-

The value of 4bc

Now,

by the question and given conditions we have

4bc
4×2×6
48

Hence, the the value of 4bc is 48.

4 0

3 years ago

Read 2 more answers

Micah can do 75 push up in 3 minutes Edward Lowe can do 130 push-ups in 5 minutes are these rates equivalent

IrinaK [193]

No because Edward can do 26 push-ups per minute while Micah can only do 25 push-ups per minute

6 0

4 years ago

Linnea is renting a bike. It costs​ $4.50 per hour plus a​ $5 deposit. Answer parts a and b

Linnea is renting a bike. It costs $4.50 per hour plus a $5 deposit. Answer parts a and b