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2 years ago

What do you do to both sides to r? What is r? 3/8 r = 6 HELP ME

Mathematics

1 answer:

faust18 [17]2 years ago

3 0

Answer:

r = 16

Step-by-step explanation:

$\frac{3}{8}r = 6 \\\\$

Multiply both sides by 8

$8*\frac{3}{8}r = 6*8\\\\3r = 48\\$

Divide both side by 3

$\frac{3}{3}r=\frac{48}{3}\\\\r = 16$

Multiply both side by (8/3)

$\frac{8}{3}*\frac{3}{8}r=6*\frac{8}{3}\\\\r = 2*8\\\\r = 16$

write an equation to represent the information in this problem. Jerel runs five days each week. on each of 4 days, he runs 2.3 km. if jerel runs a total of 14km, how many kilometers does he run on the fifth day?

Let x be the distance run on the fifth day

Total distance run on all the four days = 2.3 * 4 = 9.2 km

Required equation : x + 9.2 = 14

x = 14 - 9.2

x = 4.8 km

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A rectangular prism had a volume of 252 cubic centimeters. The length of the prism is 14 centimeters and the width of the prism

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<h2>Answer:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

$V=L\times W\times H$

FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:

$L=14cm \\ \\ W=6cm \\ \\ H=3cm$

In fact, the volume is $252cm^3$ because:

$V=14\times 6\times 3 \therefore V=252cm^3$

Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:

FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:

$L=14cm \\ \\ W=6cm \\ \\ H=6cm$

So the new volume is:

$V=14\times 6\times 6 \therefore V=504cm^3$

<h3><em>What do we know about the volume of the new prism?</em></h3>

<em>Well, the volume has increased from </em> $252cm^3 \ to \ 504cm^3$ <em>and since</em> $504=2\times 252$ <em>we can say that the new volume is two times the original volume.</em>