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Aleksandr [31]
3 years ago
12

There are 375 seniors in harris high school. The ratio of boys to girls is 7:10. How many girls are in the senior class?

Mathematics
2 answers:
Natalka [10]3 years ago
4 0
125? Girls
Are
In
The
Senior class
iogann1982 [59]3 years ago
4 0
<span> There are 357 seniors in Harris High School. The ratio of boys to girls is 7:10. How many boys are in the senior class? 
<span><span><span><span>210 
147 
117 
107
</span>
(Scroll Down for Answer!)</span></span>
<span>Let x=# of boys and y=# of girls 

Because "There are 357 seniors", this means that . Solving for "y", we get  


Since "The ratio of boys to girls is 7:10", this tells us that we have the ratio: 

 


 Start with the given equation 


 Plug in  


 Cross multiply 


 Distribute. 


 Subtract  from both sides. 



 Subtract  from both sides. 


 Combine like terms on the left side. 


 Divide both sides by  to isolate . 


 Reduce. So there are 147 boys 


 Go back to the isolated equation 


 Plug in  


 Subtract. So there are 210 girls 


---------------------------------------------------------------------- 

Answer: 

So there are 147 boys and 210 girls</span></span></span>
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Alex

Answer:

13. D = 18

14. S = (x, y + 6)

Step-by-step explanation:

13.

Given

M = (-8,2)

S = (10,2)

Required

Determine the distance between M and S

Distance (D) is calculated using:

D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

Where

(x_1,y_1) = (-8,2)

(x_2,y_2) = (10,2)

D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

D = \sqrt{(10 - (-8))^2 + (2 - 2)^2}

D = \sqrt{(10 +8)^2 + 0^2}

D = \sqrt{18^2 + 0}

D = \sqrt{18^2}

D = 18

<em>Hence, the distance between M and S is 18 units</em>

<em></em>

14.

The coordinate of S and P are not given,

So, I'll just use (x,y) for P

i.e.

P=(x,y)

Required

Determine the coordinates of S

If S is 6 units above P, then the coordinates of S is

S = (x, y + 6)

<em>i.e. we add the units to the y coordinate of P.</em>

8 0
3 years ago
Gabriela is 4 times as old as Vanessa. 10 years ago, Gabriela was 9 times as old as Vanessa. How old is Vanessa now?
Rus_ich [418]
Vanessa is 16. When she was 6, he was 54, ten years later he's 64 and she's now 16.
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3 years ago
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Marianna [84]
B- use Desmos it helps a lot!
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goldenfox [79]
I think that the answer is A) because the range is y.
5 0
3 years ago
What is the slope of the line that passes through the pair of points (1/3, -1) and ( -2, 9/2)​
UkoKoshka [18]

Answer:

\boxed{m = - \frac{33}{14} }

.

Step-by-step explanation:

Use the form below

\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}

Where

  • m is a slope
  • (x_1,~y_1) and (x_2,~y_2) are the point of the line

.

So, the slope is

(\frac{1}{3} ,~ -1) \to x_1 = \frac{1}{3} ~and~y_1 = -1

(-2,~ \frac{9}{2} ) \to x_2 = -2~and~y_2 = \frac{9}{2}

.

m = \frac{\frac{9}{2} -(-1)}{-2-\frac{1}{3} }

m = \frac{\frac{11}{2} }{\frac{-7}{3} }

m = \frac{11}{2} \div (-\frac{7}{3} )

m = \frac{11}{2} \times (-\frac{3}{7} )

m = - \frac{33}{14}

.

Happy to help:)

7 0
3 years ago
Read 2 more answers
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