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3 years ago

60% of the 50 students in Jessie’s gym class are 12 years old. How many students in Jessie’s class are 12 years old?

Mathematics

2 answers:

viva [34]3 years ago

5 0

Answer:

30 students

100 ÷ 20 = 50

60 ÷ 2 = 30 students

30 of the 50 students are 12 years old.

Step-by-step explanation:

60% of 50

60 : 100

X : 50

60/100 × 50

3/5 × 50 = 30

andrezito [222]3 years ago

3 0

Answer:

60 ÷ 2 = the number of students who are 12 years old.

60 ÷ 2 = 30 students

30 of the 50 students are 12 years old.

Step-by-step explanation:

Change the percent to a decimal

.60 *50 =30

We can rewrite the decimal as a fraction

60/100 *50

We can change the order

60 * 50/100

60 *1/2

Multiplying by 1/2 is the same as dividing by 2

60 ÷ 2 = the number of students who are 12 years old.

60 ÷ 2 = 30 students

30 of the 50 students are 12 years old.

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If a circle has a circumference of 38cm what is it’s radius to 0.1cm?

ira [324]

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Step-by-step explanation:

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8 0

3 years ago

If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

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3 years ago

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Georgia [21]

Answer:

Step-by-step explanation:

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2 years ago