HCPS Algebra

What is the value of x in the equation 2x + 3y = 36, when y = 6?

atroni [7]

X would equal 9. Subtract 18 from both sides then divide by two to get 9 as X

7 0

3 years ago

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Which is an equation for the circle with a center at (-2, 3) and a radius of 3?

kkurt [141]

Answer:

(x+2)^2 +(y-3)^2 = 9

Step-by-step explanation:

(x-h)^2 +(y-k)^2 = r^2

Where (h, k) is the center of the circle

And r is the radius of the circle.

Hope this helps.

6 0

3 years ago

A stadium brings in $16.25 million per year. it pays football-related expenses of $13.5 million and stadium expenses of $2.7 mil

Ganezh [65]

We have that

Profit margin is calculated by finding the net profit as a percentage of the revenue

Profit margin = [Net profit / Revenue]

Net profit= [Revenue-Cost]

we know that

Revenue = $16.25 million

Cost = $13.5 million + $2.7 million

Net profit = [16.25 million - (13.5 million + 2.7 million)]

Net profit = $0.05 million

Profit margin = 0.05 / 16.25

Profit margin = 0.003077 or 0.3077%

3 0

3 years ago

Simplify the following? (x^5)^4

Elis [28]

X^20 i hope this helps

8 0

3 years ago

Write and solve a system of equations: Vanessa and Geneva worked together to buy a pair of tickets ($240 total) to the Green Day

Goshia [24]

Answer:

The systems of equation are $\left \{ {{v+g=21} \atop {10v+12g=240}} \right.$ .

Vanessa worked for 6 hrs and Geneva worked for 15 hrs to earn exactly $240.

Step-by-step explanation:

Let the number of hours worked by Vanessa be 'v'.

Let the number of hours worked by Geneva be 'g'.

Given:

Total number of hours worked = 21 hours

So we can say that;

Total number of hours worked is equal to sum of number of hours worked by Vanessa and number of hours worked by Geneva.

framing in equation form we get;

$v+g=21$ ⇒ equation 1

Also given:

per hour earnings of Vanessa = $10

per hour earning of Geneva = $12

Total they need to earn = $240

So we can say that;

Total they need to earn would be equal to sum of per hour earnings of Vanessa multiplied by number of hours worked by Vanessa and per hour earning of Geneva multiplied by number of hours worked by Geneva.

framing in equation form we get;

$10v+12g =240$ ⇒ equation 2

Hence The systems of equation are $\left \{ {{v+g=21} \atop {10v+12g=240}} \right.$ .

On Solving above equations we get;

First we will multiply equation 1 by 10 we get;

$10(v+g)=21\times10$

$10v+10g =210$ ⇒ equation 3

Now Subtracting equation 3 from equation 2 we get;

$10v+12g -(10v+10g)=240-210\\\\10v+12g-10v-10g=30\\\\2g =15$

Dividing both side by 2 we get;

$\frac{2g}{2}=\frac{30}{2}\\\\g =15\ hrs$

Now Substituting the value of g in equation 1 we get;

$v+g=21\\\\v+15=21\\\\v=21-15 =6\ hrs$

Hence Vanessa worked for 6 hrs and Geneva worked for 15 hrs to earn exactly $240.

7 0

3 years ago