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iren [92.7K]
3 years ago
10

A company sells t-shirts for $6 each. They also charge a one-time processing fee of $3 per order. Jamie ordered t-shirts and pai

d $45 for his order. Two days later, Jamie could not recall how many t-shirts he ordered. Which shows the equation that Jamie could use to find the number of t-shirts, x, he ordered and the solution of the equation?
Mathematics
1 answer:
jenyasd209 [6]3 years ago
4 0
$45-$3 
you would do this to take out the processing fee.
$42/ $6
this is because each shirt cost $6
the equation would be (45-3) / 6= 7]  
your answer would be 7 shirts 
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Answer:

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Step-by-step explanation:

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Solve each system of equation algebraically<br> y=x+2<br> y=-3x
algol [13]
Try this solution:
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9-19 can somebody explain how to do one of them (not the answer) but how to work them out and the answer
Jet001 [13]

Answer: I’ll give you an example of how to do it by solving number 9 - h^2 + 8h + 16

Step-by-step explanation:

Step 1: Find two numbers that when you multiply them it gives you the first term’s coefficient multiplied by the last term’s coefficient (1x16 = 16) and when you add them it gives you the second term’s coefficient (8). The numbers in this case are positive 4 and positive 4.

Step 2: Create two parenthesis with the letter accompanied by the numbers. (h + 4)•(h+4). And that’s how you factor.

In case the first term is elevated to the third you will have to take out GCF (greatest common factor) first. If the numbers are too high like in the exercise number 15 you can also take out GCF and it will make it a lot easier to solve. Sometimes what you write on the parenthesis in the step 2 can be simplified, if that’s so then you would have to do it in order to get the correct answer.

Hope this helps you.

3 0
2 years ago
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Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream
Arada [10]

Correct question is;

1) Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?

2) Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment. Which equation can be used to solve for x, the total amount of paint in the mixture of the two colors?

A) 0.15(40) + 0.6x = 0.25(40 + x)

B) 0.15(40) + 0.6(x – 40) = 0.25(x)

C) 0.15(40) + 0.6x = 0.25(40 – x)

D) 0.15(40) + 0.6(x + 40) = 0.25(x)

Answer:

1) Amount of cream = ¼cup

2) Option D: 0.15(40) + 0.6(x - 40) = 0.25x

Step-by-step explanation:

1) First of all, let x represent the amount of cup of milk and let y represent the of cup of cream.

We are told that the volume of the mixture is 1 cup.

Thus;

x + y = 1 - - - (eq 1)

We are now told that the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat

Thus, x contains 0.02 fat, y contains 0.18 fat and the 1 cup of mixture contains 0.06 fat.

Thus, we will multiply the respective terms in eq 1 by these %fat content.

Thus;

0.02x + 0.18y = 0.06(1)

0.02x + 0.18y = 0.06 - - - (eq 2)

From eq 1, let's make y the subject which is the amount of cup of cream.

Thus,

y = 1 - x

Let's put 1 - x for y in eq 2 to get;

0.02x + 0.18(1 - x) = 0.06

0.02x + 0.18 - 0.18x = 0.06

0.18x - 0.02x = 0.18 - 0.06

0.16x = 0.12

x = 0.12/0.16

x = 3/4 cup

From,y = 1 - x;

y = 1 - (3/4)

y = ¼ cup

Amount of cream = ¼cup

2) We are given;

15% of the pigment in paint color A is black.

60% of the pigment in paint color B is black.

We are now told that Alan unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment.

If we assume the total amount of paint in the mixture is x like we are told, it means that based on the given data, we have a sum of;

0.15(40) + 0.6(x - 40)

Thus is because we know the amount of paint A used as 40 but don't know the amount of paint B used.

Now we are told that this sum produces a mixture that contains 25% black pigment. Since the total amount in the mixture is x. Thus, this final product is 0.25x.

Therefore to derive an equation to find the total amount of paint in the mixture of the two colors, we will equate the sum of the 2 Mixtures to the final product.

This gives;

0.15(40) + 0.6(x - 40) = 0.25x

8 0
3 years ago
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