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2 years ago

I need help with this If x + 3 /3 = y + 2/ 2 ,then x/ 3 =

Mathematics

1 answer:

abruzzese [7]2 years ago

6 0

Answer:

First solve for x

then substitute

Step-by-step explanation:

$\frac{x+3}{3}= \frac{y+2}{2}$

$6(\frac{x+3}{3}=\frac{y+2}{2})$

2x + 6 = 3y + 6

2x = 3y

$x = \frac{3y}{2}$

If $\frac{x+3}{3}= \frac{y+2}{2}$ then $\frac{x}{3}$ =

$x = \frac{3y}{2} /3 = \frac{y}3}$

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Jacky read at the rate of 15 pages per hour. Johnny read at the rate of 1/3 of a pages per minute. Who was reading faster? By ho

o-na [289]

We can compare by converting Johnny's reading time into the same unit of Jacky's, hours.

There are 60 minutes in an hour, so use this:

$\frac{1}{3} * \frac{60}{1} = 20$

15 < 20, so Johnny read faster. This is 5 pages faster per hour than Jacky.

3 0

3 years ago

Suppose that 1 kg of Sodium-24 is reduced to 0.0156 kg in 90 hours. What is the half-life, in hours, of Sodium-24?

N76 [4]

Answer:

14.99 hours

Step-by-step explanation:

The formula for half-life is given as,

R/R' = 2ᵃ/ᵇ...................... Equation 1

Where R= Original mass of sodium-24, R' = mass of Sodium-24 after disintegration, a = Total time taken for sodium-24 to disintegrate, b = half-life of sodiun-24.

Given: R = 1 kg, R' = 0.0156 kg, a = 90 hours

Substitute into equation 1 and solve for b

1/(0.0156) = 2⁹⁰/ᵇ

Taking the log of both side

log[1/(0.0156)] = log(2⁹⁰/ᵇ)

log[1/(0.0156)] = 90/b(log2)

90/b = log[1/(0.0156)]/log2

90/b = 6.0023

b = 90/6.0023

b = 14.99 hours

b = 14.99 hours.

Hence the half-life of Sodium-24 is 14.99 hours

7 0

3 years ago

Tell whether the angles are complementary or supplementary. Then find the value of x.

Margaret [11]

Answer: Complementary angles. x = 60

How I got it.

x - 30 + x = 90

then solve for x

Hope this helps!

5 0

2 years ago

I NEED THIS ANSWERED I DONT UNDERSTAND

Alex_Xolod [135]

Answer: 3.84

Step-by-step explanation:

If you time 6 by 0.8 you get 4.8 then you times 4.8 by 0.8 you get 3.84

Hope this helps :)

7 0

2 years ago

Read 2 more answers

Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is disp

Elden [556K]

"Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed..." Ryan had a head start of 10 meters.

This is further explained below.

<h3>Who had a head start, and how big was the head start?</h3>

Generally, To help low-income children and their families, the United States government funds a program called Head Start, which offers a variety of services including early childhood education, health care, nutrition education, and parent engagement.

In conclusion, who had a head start, and how big the head start was is; Ryan had a head start of 10 meters.