$\dfrac{2m}{5}+3=7(4m-3)\ \ \ \ |use\ distributive\ property:a(b-c)=ab-ac\\\\\dfrac{2m}{5}+3=28m-21\ \ \ \ \ |multiply\ both\ sides\ by\ 5\\\\2m+15=140m-105\ \ \ \ |subtract\ 140m\ from\ both\ sides\\\\-138m+15=-105\ \ \ \ |subtract\ 15\ from\ both\ sides\\\\-138m=-120\ \ \ \ |divide\ both\ sides\ by\ (-138)\\\\m=\dfrac{120:6}{138:6}\\\\\boxed{m=\frac{20}{23}}$

7 0

3 years ago

A cylinder has a height of 10 inches and a radius of 17 inches. What is its volume? Use ≈ 3.14 and round your answer to the ne

Gelneren [198K]

Steps:

Radius= 17in

Height= 10in

Formula: V=πr2h

Shape: Right cylinder

Solved for volume

H= Height

R= Radius

Description:

We know that R is 17 inches, and H is 10 inches. Since we are finding the volume we use the formula V=πr2h to calculate. After calculating your answer will come as V≈9079.2in³. You also said to round your answer to the nearest hundredth. After rounding your answer to th enearest hundredth your answer will come as 9,079.20.

Answer: V≈9079.2in³

Round to the nearest hundredth = 9,079.20

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Hope this helps.

8 0

3 years ago