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guapka [62]
2 years ago
8

There are 160 people in a grade. The ratio of boys to girls is 3 to 5. Which proportion can you use to find the number x of boys

?
Mathematics
2 answers:
egoroff_w [7]2 years ago
6 0

Answer:

3/8 = x/160

Step-by-step explanation:

First, you need to find the total amount of boys and girls, so you add 3+5.

3+5= 8

So 8 is the total, and out of 8 people, 3 of them are boys. Now that you have that, you can set up the first part of the proportion.

3/8

Now, what information does it give you about the people in the grade? It tells you the total amount, but not the number of boys.

3/8 = out of 8 people, 3 of them are boys.

x/160 = out of 160 people in a grade, x of them are boys.

So your final proportion would be 3/8 = x/160.

Bonus:

If you need to find the number of boys in a grade, just solve the proportion as normal, which would give you 60. So there are 60 boys out of 160 people in a grade.

Nezavi [6.7K]2 years ago
3 0

Answer:

60 boys

Step-by-step explanation:

boys : girls = 3 : 5

Total number of people = 160

Let y = common factor:

Therefore, 3y + 5y = 160

⇒ 8y = 160

⇒ y = 160 ÷ 8 = 20

Boys = 3y = 3 x 20 = 60

Girls = 5y = 5 x 20 = 100

So there are 60 boys and 100 girls

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A water tanker can fill
VikaD [51]

Answer:

56 mins

Step-by-step explanation:

Number of gallons of water in the pool per minute;

750 divided by 35 = 150/7

Let the time needed to fill a 1,200 gallon pool be t.

t x 150/7 = 1,200

t x 21.42857142857143... = 1,200

t = 1,200/21.42857142857143

t = 56 mins

6 0
3 years ago
Solve -1 < x + 1 ≤ 6
andrey2020 [161]

Answer:

-2<x≤5

Step-by-step :

-1<x+1≤6 So fisrt what every we do to one side we must do to the other. In this case it's a bit different since we are dealing with inequalities.

-1<x+1≤6 I would start off by isolating x in the middle.

-1<x+1≤6 I subtracted 1 from all three sides.

-1     -1   -1

Now your equation should look like this:

-2<x≤5  Now there is really nothing much we can do here since we were just trying to get x by its self.

Answer : -2<x≤5

7 0
2 years ago
Complete parts a through c for the given function.
victus00 [196]

Answer:

a. The critcal points are at

x=0,-5,3

b. Then, x = -5   is a maximum and x=3 is a minimum

c. The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

Step-by-step explanation:

(a)

Remember that you need to find the points where

f'(x)=0

Therefore you have to solve this equation.

20x^4  + 40x^3 - 300x^2 = 0

From that equation you can factor out    20x^2  and you would get

20x^2 (  x^2  +2x - 15)  = 0

And from that you would have   20x^2 = 0  , so x = 0.

And you would also have  x^2 +2x-15 = 0.

You can factor that equation as    x^2 +2x -15 = (x+5)(x-3) = 0

Therefore   x=-5 ,   x=3.

So the critcal points are at

x=0,-5,3

b.  

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\

Then, x = -5   is a maximum and x=3 is a minimum

c.

The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

6 0
3 years ago
Read 2 more answers
14 = 6x4+b <br><br> I WILL MARK BRAINLYIEST FOR 1ST PERSON
Ira Lisetskai [31]
14 = 6x4 + b
14 = 24 + b
-10 = b

Hope this is accurate & helpful! Let me know if there are any errors or if you have any additional questions.
7 0
2 years ago
Direct variation equation if f(x) varies directly with x and f(x)=-18 when x=3
JulsSmile [24]
F(x)=-6x
Work:
-18÷3=-6
5 0
2 years ago
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