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goldenfox [79]
3 years ago
12

Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

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Christopher buys 120 hot dog buns for a picnic. He buys two different brands of hot dog buns. Brand X has 12 hot dog buns in a p
lianna [129]

A system of equations that can be used to find the number of packages of Brand X hot dog buns and Brand Y hot dog buns that Christopher buys is:

12x + 8y = 120  

4.5x + 3.5y = 49.50.

The number of packages of Brand X bought is 4 and the number of packages of Brand Y bought is 9

The following equations can be derived from the question

12x + 8y = 120  equation 1

4.5x + 3.5y = 49.50 equation 2

x represents the number of packages of Brand X

y represents the number of packages of Brand Y

The elimination method would be used to determine the values of x and y

Multiply equation 1 by 4.5 and equation 2 by 12

54x + 36y = 540 equation 3

54x + 42y = 594 equation 4

 Subtract equation 3 from 4

6y = 54  

Divide both sides of the equation by 6

y = 9

Substitute for y in equation 1

12x + 8(9) = 120

12x + 72 = 120

12x = 48

x = 4

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

6 0
3 years ago
use the numbers 8, 6, and 2 to create one operation to write an expression that includes one exponent and has a value of 8. use
riadik2000 [5.3K]

Answer:

Answer:

Step-by-step explanation:

1) One solution is to write, as our exponent:

2) Because this is special case of the Exponents Law, valid for every base ≠ 0.

3) Hence, including an exponent the numbers 6, 2 whose value is eight.

Therefore our expression is true

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
3
zimovet [89]

Answer:

m less then 5

Step-by-step explanation:

its telling you itw no less than 5 so you want to use a less than symbol.

7 0
3 years ago
The area of a garden is 8 3/4 square yards. If the lenght is 1 1/4 yards , what is the length?​
andrezito [222]

Answer:

The Missing Length = 7

Step-by-step explanation:

Equation: side length x side length = area

  • This means that if you divide the area by one of the side lengths, you'll find the other

1.  Convert the numbers into decimals

  • 8 3/4 -  8.75 (area)
  • 1 1/4  = 1.25 (side length)

2. Divide the <u>area</u> by the <u>side length</u>

  • 8.75 ÷ 1.25 = <u>7</u>

<u></u>

<u>7</u> is the answer.

6 0
2 years ago
Which bacteria sample (A or B) had a smaller initial population? What was that value?
zubka84 [21]

Answer:

B has a smaller initial population of 500

Step-by-step explanation:

Given

See attachment for complete question

Required

The bacteria with the smaller initial population

The initial population is at x = 0

For bacteria A;

A(x) = 600 when x = 0

For bacteria B, we have:

B(x) = 500(2)^x

Substitute 0 for x

B(x) = 500(2)^0

B(x) = 500*1

B(x) = 500

So; when x = 0

A(x) = 600 and B(x) = 500

Because; 500 < 600

We can conclude that B has a smaller initial population of 500

4 0
2 years ago
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