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Svetradugi [14.3K]
3 years ago
7

There are 16 girls in a school club. the number of girls is four more than twice the number of boys. find the number of boys.

Mathematics
1 answer:
Serhud [2]3 years ago
3 0
The number of boys . . . . . B
Twice the number of boys . . . 2B
4 more than twice the number of boys . . . 2B+4

You said that the number of girls is equal to that, so . . .  G = 2B+4

But you also told us what  G  is:  16 = 2B+4

Subtract  4  from each side:  12 = 2B

Divide each side by  2 :  6 = B

There you have it.  There are  6 boys in the club.
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Step-by-step explanation:

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zaharov [31]
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1. 2(H-8)-h=h-16
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(1) C and (2) D

(1)

distribute the left side of the equation

2h - 16 - h = h - 16 ( simplify left side )

h - 16 = h - 16

Since both sides are equal, any value of h will make the equation true.

Hence there are infinitely many solutions to the equation → C

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3 years ago
Ava is buying paint from Amazon. Ava
irina [24]

Answer:

2.625 cups or 21 ounces

Step-by-step explanation:

Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.

She has 28 ounces of white paint. But, you have to convert ounces to cups.

1 cup = 8 ounces

28 ounces ÷ 8 ounces/cup = 3.5 cups

Now set up a ratio.

\frac{0.75}{1} = \frac{x}{3.5}

X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)

Cross multiply and divide.

\frac{0.75}{1} = \frac{x}{3.5}

x = 0.75 × 3.5

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To convert to ounces, multiply by 8.

2.625 cups × 8 ounces = 21 ounces

Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.

Hope that helps.

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Which quadratic equation defines the function that has zeros at − 1/12 and 1/4 ?
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\bf \begin{cases}
x=-\frac{1}{2}\implies &x+\frac{1}{2}=0\\\\
x=\frac{1}{4}\implies &x-\frac{1}{4}=0
\end{cases}
\\\\\\
\left( x+\frac{1}{2} \right)\left( x-\frac{1}{4} \right)=\stackrel{y}{0}\implies \stackrel{FOIL}{x^2+\frac{1}{4}x-\frac{1}{8}}=y
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3 years ago
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