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dexar [7]
3 years ago
14

Dennis works at a frozen yogurt store in the summer. He

Mathematics
1 answer:
Lyrx [107]3 years ago
6 0

Answer:

100x+150y≤1200

y≤8-2x/3

slope = -2/3

y-intercept = (0,8)

Step-by-step explanation:

I graphed it on my calculator but I'm not really sure how to explain it beyond just sharing a screenshot of the image

I hope that helps

You might be interested in
8.3333 times the square root of 144
Svet_ta [14]
The square root of 144 is 12. So multiply 8.3333 by 12. You should get 99.9996.
3 0
3 years ago
Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution. How many liters of eac
lesantik [10]

Answer:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

Step-by-step explanation:

Let us represent:

The number of liters for :

Acid solution a = x

Acid solution b = y

Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution.

x + y = 40 ...... Equation 1

x = 40 - y

25% × x + 50% × y = 45% × 40

0.25x + 0.5y = 18...... Equation 2

We substitute, 40 - y for x in Equation 2

0.25(40 - y)+ 0.5y = 18

10 - 0.25y + 0.5y = 18

- 0.25y + 0.5y = 18 - 10

0.25y = 8

y = 8/0.25

y = 32 Liters

Solving for x

x = 40 - y

x = 40 - 32

x = 8 Liters.

Hence:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

5 0
3 years ago
Which algebraic expression is a product with the factor of 5
alexgriva [62]

Answer:

B.

Step-by-step explanation:

5(y - 6) means  'Multiply the  difference between y and 6 by 5'.

8 0
3 years ago
A new phone costs $230 and the sales tax rate is 7%. What is the total cost of the camera after tax?
rosijanka [135]

That's a question about percentage.

One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.

Examples:

  • 90% is equivalent to 0,90.
  • 5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.
  • 13.17% is equivalent to 0.1317.
  • 245% is equivalent to 2.45.

If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.

Examples:

  • 55.90% of 200 is equal to: 200 \times 0.5590 = 111.8
  • 360% of 88 is equal to: 88\times 3.6 = 316.8

In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.

107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.

We know that 230\times 1.07 = 246.1, therefore, the total cost of the phone after tax is $246.1.

I hope I've helped. :D

Enjoy your studies. \o/

4 0
3 years ago
The complete factorization of 12x² + 4x - 8 is:
PolarNik [594]

Answer:

D is the correct answer.

8 0
3 years ago
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