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3 years ago

I need some help.. fraction: {5⁷}{5²}

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Step-by-step explanation:

$\dfrac{5^7}{5^2}\qquad|\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=5^{7-2}=5^5$

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Geraldo is trying to fit his encyclopedias on the shelf. Each encyclopedia is 2 1/4 inches thick. If Geraldo shelf is 2 1/4 feet

Maurinko [17]

Answer:

Step-by-step explanation:

First, find out how wide his shelf is in inches. 2.25*12=27. So his shelf is 27 inches wide. Then divide that by 2.25 to find the number of encyclopedias will fit.

8 0

2 years ago

In an endurance race, Rachel ran

Reil [10]

Answer:

$31\frac{1}{5}\ miles$

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

The distance is equal to multiply the speed by the time

we have

$speed=9\frac{3}{5}\ \frac{miles}{hour}$

$time=3\frac{1}{4}\ hours$

$distance=(9\frac{3}{5})(3\frac{1}{4})$

Convert mixed number to an improper fraction

$9\frac{3}{5}=9+\frac{3}{5}=\frac{9*5+3}{5}=\frac{48}{5}$

$3\frac{1}{4}=3+\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}$

substitute

$distance=(\frac{48}{5})(\frac{13}{4})=\frac{624}{20}=31,2\ miles$

Convert to mixed number

$31.2\ mi=31+0.2=31+\frac{1}{5}=31\frac{1}{5}\ miles$

3 0

3 years ago

Look at the figure. Name the postulate or theorem you can use to prove the train goes congruent?

Nikolay [14]

Let us recall parallelogram properties, which states that opposite angles of parallelogram are congruent.

We can see from graph that side US is parallel to TR and measure of angle U equals to measure of angle R, therefore, quadrilateral drawn in our given graph is a parallelogram.

Since we know that opposite sides of parallelogram are congruent. In our parallelogram UT=SR and US=TR.

In our triangle STU and triangle TSR side TS=TS by reflexive property of congruence.

Therefore, our triangles are congruent by SSS congruence.

6 0

3 years ago

Read 2 more answers

A bookstore owner is conducting market research to forecast sales for the coming year. The bookstore is open 360 days a year and

statuscvo [17]

156 dollars because 13 times 12 (months)
equals 156

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2 years ago

Write the equation in its equivalent logarithmic form.