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AURORKA [14]
3 years ago
5

Please help me ASAP it’s times THANK U

Mathematics
1 answer:
goblinko [34]3 years ago
7 0

Answer:

Only choices C and D are solutions

Step-by-step explanation:

6x + 3y = -15

y = -2x - 5

6x + 3y = -15

6x + 3(-2x - 5) = -15

6x - 6x - 15 = -15

0 = 0

Since 0 = 0 is a true statement, both equations of this system are the same equation and represent a single line on the coordinate plane.

We need to check each choice in just one equation.

Let's use the second equation.

y = -2x - 5

A.

(2, 7)

7 = -2(2) - 5

7 = -4 - 5

7 = -9   False

Not a solution

B.

(5, 0)

0 = -2(5) - 5

0 = -10 - 5

0 = -15     False

Not a solution

C.

(-3, 1)

1 = -2(-3) - 5

1 = 6 - 5

1 = 1   True

Solution

D.

-13 = -2(4) - 5

-13 = -8 - 5

-13 = -13    True

Solution

Answer: Only choices C and D are solutions

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The answer is 1/2 4
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Step-by-step explanation:

7 0
3 years ago
Your father is planning to cook for 35 people using a recipe that specifies two and a half cups of sugar for each six people,
almond37 [142]

Your father will require 14.6 cups of sugar for the larger group

<h3>Ratio and proportions</h3>

From the question, we have that 2.5 cups of sugar can be used to make recipes for 6 people that is;

6 people = 2.5 cups of sugar

In order to calculate for 35 people, we will have;

35 people  = x

Taking the ratio of the expressions

6/35 = 2.5/x

6x = 87.5

x = 87.5/6

x = 14.6

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Learn more on ratio and proportions here: brainly.com/question/19994681

3 0
2 years ago
You want to purchase a new car in 55
Tanzania [10]

Answer:

Ans. you should deposit each month to end up with $38,000 the amount of $533.33 every month for 5 years at a APR of 6.5%

Step-by-step explanation:

Hi, first we have to convert all the data to monthly basis, that is, 5 years (5*12=60 months) and the rate of 6.5% APR offered by the bank (Monthly rate = 0.065/12=0,005666667  or 0.5667% monthly)

With that in mind, we need to solve for "A" the following equation.

FV=\frac{A((1+r)^{n}-1) }{r}

Where:

FV = Future value of the car

r = rate of return offered by the bank

n = number of periods that you are going to make the monthly deposit

That is:

38,000=\frac{A((1+0,005667)^{60}-1) }{0,005667}

38,000=\frac{A(0,403599896)}{0,005667}

38,000=A(71,22351103)

A= 533,53

Best of luck.

5 0
3 years ago
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