MATHEMATICS MIDDLE SCHOOL

How to solve 5^(2x-3)=125

Answers

Answer 1

Answer:

Answer:

x = 3

Step-by-step explanation:

Solve for x over the integers:

5^(2 x - 3) = 125

Multiply both sides by 125:

5^(2 x) = 15625

15625 = 5^6:

5^(2 x) = 5^6

Equate exponents of 5 on both sides:

2 x = 6

All equations give x = 3 as the solution:

Answer: x = 3

Answer 2

Answer:

Answer:

x=14 or 14x

Step-by-step explanation:

5*2=10

5*3=15

10x-15=125

+15=+15

10x=140

/10=/10

x=14

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In math class the girl to boy ratio is 3to 6 if there are 15 girls how many boys are there?

Answers

Another way at looking at it is, for every 3 girls, there are 6 boys or equal to that is a 1:2 ratio. So if there are 15 girls and twice as many guys, there will be 30 guys

proprtions

3 / 6 = 15 / x

so 15 * 6 = 90

divide by 3 and get 30 boys

What is 29/9 converted into a mixed number

Answers

You do 29 divided by 9 and that equals 3 2/9

What is the volume of a sphere if it has a radius of 2 feet? (Use 3.14 for π .)

Answers

$\displaystyle \n V_(sphere) = (4\pi R^3)/(3) = (4\pi 2^3)/(3) = (4 * 3,14 * 8)/(3) = (100.48)/(3) = \boxed{33.49 ~\text{ft}^3}$

The planet Mars could be a future destination for the U.S. space program. Assume that Mars is a perfect sphere. Its surface area is about 145 million square kilometers. What is the radius of Mars at its equator? Round to the hundreds place. ||| Answer choices:
A) 4,500 km
B) 2,200 km
C) 5,000 km
D) 3,400 km |||

Answers

surface area of a sphere is 4 times pi timers radius^2
aprox pi=3.14

so surface area=145,000,000

145,000,000=4 times 3.14 times rdaius^2
145,000,000=12.56 times radius^2
divide both sdies by 12.56
11544585.987=r^2
square root both sides
3397.73=radius

round to the hundreds
3397 rounded to the hundreds
3400

the answer is D 3,4000 km

During unusually cold weather, the temperature in Miami beach was 10'C. This was 12 degrees more than in Tallahassee. What is the temperature Tallahassee