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2 years ago

Kelsey has 1/3 of a Hershey Bar. Eric wants 3/5 of this amount, How much will Eric get?

Mathematics

1 answer:

Ainat [17]2 years ago

5 0

Answer:

1/5

Step-by-step explanation

1/3= 0.333333333

3/5 of 0.333333333= 0.2

0.2 as a fraction is 1/5

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2 years ago

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2 years ago

Which shows 63 factored into powers of prime numbers? A. 9 • 7 B. 32 • 7 C. 33 • 7 D. 3 • 3 • 7

s2008m [1.1K]

Hi!

<h3>To find the prime factorization of a number, keep dividing by the smallest factor that goes into it. </h3>

63/3 = 21

21/3 = 7

7/7 = 1

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2 years ago

Read 2 more answers

The price of s of a pair of shoes plus 5% sales tax

PtichkaEL [24]

s= original price of shoes

n= new price of shoes

s+0.05s=n

6 0

3 years ago

Solve sin x - (3sin x-1) = 0

soldi70 [24.7K]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}}$

Step-by-step explanation:

$\sin x-(3\sin x-1)=0\\\\\sin x-3\sin x+1=0\qquad\text{subtract 1 from both sides}\\\\-2\sin x=-1\qquad\text{divide both sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}$

$\text{Equation:}\\\\\sin x=a\\\\\text{has solutions}\\\\x=\theta+2k\pi\ \vee\ x=(\pi-\theta)+2k\pi\\\\\text{Why}\ 2k\pi?\\\text{Because the sine function has a period of}\ 2\pi.$

$\text{look at the table}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}\ \vee\ x=\pi-\dfrac{\pi}{6}=\dfrac{5\pi}{6}$

$\text{Other solution:}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\sin^{-1}\dfrac{1}{2}\\\\x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi$

3 0

2 years ago