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2 years ago

12

Cindy saves $420 each month . her monthly salary is $ 2100. what is the ratio of the amount cindy saves to the amount she earns

each month ?
a) 1:5
b) 1:4
c) 2:3
d) 5:1

1 answer:

AfilCa [17]2 years ago

7 0

I took the test the correct answer is 1:5.

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The equation 3w + 4j = 39 is used to determine the number of water bottles w and the number of juice bottles j that can be bough

jarptica [38.1K]

Juice bottles are J, replace j with 6 in the equation and solve for w:

3w + 4(6) = 39

3w + 24 =39

Subtract 24 from both sides:

3w = 15

Divide both sides by 3:

w = 15/3

w = 5

You can buy 5 water bottles.

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2 years ago

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22. What is the percent of increase for a population<br> that changed from 438,000 to 561,000?

ra1l [238]

Answer: 28.08%

Step-by-step explanation: To find the percent increase, we divide the amount of change by the original number.

The amount of change is the difference between the two numbers which in this case is 561,000 - 438,000 and the original number is 438,000.

561,000 - 438,000 is 123,000 so we are left with 123,000 divided by 438,000 which is 0<em>.</em>2808. Finally, since our problem is asking us for a percent, we write 0<em>.</em>2808 as a percent by moving the decimal point two places to the right to get 28.08%.

So when the population changes from 438,000 to 561,000, it has increased by 28.08%.

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2 years ago

Greatest common factor of 12, 60, and 68

Katyanochek1 [597]

To calculate the GCF, you need to list all the prime numbers that will go into each number listed

12: 2, 2, 3
60: 2, 2, 3 5
68: 2,2,17

Now you circle the numbers that are the same in each.

GCF: 2, 2

Multiply these numbers to find the GCF: 4

5 0

2 years ago

Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)

maw [93]

You can simply expand each product and see whether it gives you a difference of squares.

•   $\mathsf{(-7x+4)\cdot (-7x+4)}$

That's actually $\mathsf{(-7x+4)^2:}$

$\mathsf{(-7x+4)^2}\\\\ \mathsf{=(-7x+4)\cdot (-7x+4)}\\\\ \mathsf{=(-7x+4)\cdot (-7x)+(-7x+4)\cdot 4}\\\\ \mathsf{=49x^2-28x-28x+16}$

$\mathsf{=49x^2-56x+16}$   <span>✖

which is not a difference of squares.

</span>————<span>—

</span>•   $\mathsf{(-7x+4)\cdot (4-7x)}$

$\mathsf{=(-7x+4)\cdot 4-(-7x+4)\cdot 7x}\\\\ \mathsf{=-28x+16-(-49x^2+28x)}\\\\ \mathsf{=-28x+16+49x^2-28x}$

$\mathsf{=49x^2-56x+16}$ ✖

which is not a difference of squares.

—————

•   $\mathsf{(-7x+4)\cdot (-7x-4)}$

$\mathsf{=(-7x+4)\cdot (-7x)-(-7x+4)\cdot 4}\\\\ \mathsf{=49x^2-28x-(-28x+16)}\\\\ \mathsf{=49x^2-\diagup\!\!\!\!\! 28x+\diagup\!\!\!\!\! 28x-16}\\\\ \mathsf{=49x^2-16}$

$\mathsf{=(7x)^2-4^2}$   <span>✔

That is a difference of two squares.

</span>————<span>—

</span>•   $\mathsf{(-7x+4)\cdot (7x-4)}$

$\mathsf{=(-7x+4)\cdot 7x-(-7x+4)\cdot 4)}\\\\ \mathsf{=-49x^2+28x-(-28x+16)}\\\\ \mathsf{=-49x^2+28x+28x-16}$

$\mathsf{=-49x^2+56x-16}$   <span>✖

</span>which is not a difference of squares.

—————

Only the third option will result in a difference of squares.

Answer: (− 7x + 4) · (− 7x − 4).

I hope this helps. =)

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2 years ago

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The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph? (−5,

Umnica [9.8K]

The x-coordinate of the axis os symmetry of a quadratic is the x-coorfinate of its vertex. To find the y-coordinate of the vertex here we would substitute -5 for x in:

$f(x) = - {x}^{2} - 10x + 16 \\ so \: we \: have \: \\ f( - 5) = - ( { - 5)}^{2} - 10( - 5) + 16 \\ = - 25 + 50 + 16 = 41$
The coordinates of the vertex are (-5,41)

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2 years ago

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