Please help me!!!!!!!!!!!

MANUFACTURING A shoe manufacturer spends $2.50 to make sandals and $4 to make running shoes. During a typical month, they spend

jonny [76]

Answer:

200 pairs of sandals

Step-by-step explanation:

Represent the sandals with x and the running shoes with y.

In a typical month:

$Total = 2500$

In April

$Total = 3000$

Required

The number of sandals in a typical month

In a typical month:

If 1 sandal costs 2.50, then x costs 2.50x

If 1 running shoe costs 4, then y costs 4y

The total is:

$2.50x + 4y = 2500$

In April:

If 1 sandal costs 2.50, then 2x costs 5x ---- we used 2x because the pairs is doubled

If 1 running shoe costs 4, then y costs 4y

The total is:

$5x + 4y = 3000$

The equations are:

$5x + 4y = 3000$

$2.50x + 4y = 2500$

Subtract

$5x - 2.50x + 4y - 4y = 3000 - 2500$

$2.50x = 500$

$x = \frac{500}{2.50}$

$x = 200$

8 0

2 years ago

A group of 100 students took a quiz. Their average score was 76 points. If the average score for the boys was 80 points and the

sveta [45]

Answer:

The number of girls participated in quiz is 40 .

Step-by-step explanation:

Given as :

Total number of students took quiz = 100

Average score of 100 students = 76 points

The Average score of boys = 80 points

The Average score of girls = 70 points

Let The number of boys participated in quiz = b

Let The number of girls participate in quiz = g

Now, According to question'

Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz

Or, b + g = 100 ........A

Again

∵ Average score of 100 students = 76 points

∴ Total score of 100 students = 76 × 100 = 7600

So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students

Or, b × 80 + g × 70 = 7600

Or, 80 b + 70 g = 7600 .........B

Now, Solving equation A and B

(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100

I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000

Or, 10 b + 0 = 600

∴ b = $\dfrac{600}{10}$

i.e b = 60

So, The number of boys participated in quiz = b = 60

Put the value of b into eq A

∵ b + g = 100

So, g = 100 - b

Or, g = 100 - 60

i.e g = 40

So, The number of girls participated in quiz = g = 40

Hence, The number of girls participated in quiz is 40 . Answer

6 0

2 years ago

Any help would be nice

Snowcat [4.5K]

Answer:

a=3

Step-by-step explanation:

if you are solving for a

7 0

2 years ago

when buying lemonade mix , Cece spend $0.72 on a 6- ounce packet and $0.27 on a 3- ounce packet . Use unit rates to determine if

siniylev [52]

6- ounce packet rate = $0.72 .

In order to find the one ounce rate, we need to divide $0.72 by 6.

On dividing 0.72 by 6, we get $0.12.

Therefore, first unit rate is $0.12 per ounce.

3- ounces packet rate = $0.27.

In order to find the one ounce rate, we need to divide $0.27 by 3.

On dividing 0.27 by 3, we get $0.09.

Therefore, second unit rate is $0.09 per ounce.

<h3>So, we can say that each pair of rates is not equivalent. </h3>

3 0

3 years ago

Round 16.05792 to the nearest tenth

Alex

The answer would be 16.1

8 0

3 years ago

Read 2 more answers