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3 years ago

The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many students are boys?

Mathematics

2 answers:

allsm [11]3 years ago

6 0

Add the ratios together: 5 + 3 = 8

Divide total students by 8:

32 / 8 = 4

Multiply each ratio by 4 to find the number of each:

Boys = 4 x 5 = 20

Girls = 3 x 4 = 12

There are 20 boys.

miv72 [106K]3 years ago

5 0

Answer:

5x+3x=8x

8x = 32

x=32/8 = 4

boys are 4 x 5 = 20

girls are 4 x 3 = 12

Step-by-step explanation:

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3 years ago

a toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its heigh

sdas [7]

Answer:

t = 2.11 seconds

Step-by-step explanation:

A toy rocket is launched from the top of a 48 foot hill. The rockets initial upward velocity is 32 feet per second and its height h at any given second t is modeled by the equation:

$h=-16t^2+32t+48$

Let us assume that we need to find the time by it to reach the ground. It means h = 0

$-16t^2+32t+48=0$

The above is a quadratic equation. The value of t is given by :

$t=\dfrac{-b\pm \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-b+ \sqrt{b^2-2ac} }{2a},\dfrac{-b- \sqrt{b^2-2ac} }{2a}\\\\t=\dfrac{-32+ \sqrt{(32)^2-2\times (-16)(8)} }{2\times (-16)},\dfrac{-32-\sqrt{(32)^{2}-2\times(-16)(8)}}{2\times(-16)}\\\\t=-0.11\ s, 2.11\ s$

So, it will take 2.11 seconds to reach the ground.

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3 years ago

PlZZZ HELP<br><br> Which of the following is equal to

stealth61 [152]

Answer:

1st option

Step-by-step explanation:

4 $\frac{1}{3}$ ÷ 2 $\frac{3}{5}$ ( change mixed numbers into improper fractions )

= $\frac{13}{3}$ ÷ $\frac{13}{5}$

To perform the division

leave 1st fraction, change ÷ to × , turn 2nd fraction ' upside down'

= $\frac{13}{3}$ × $\frac{5}{13}$

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