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3 years ago

3(a+b)=19 if a=6, then a+b=?

Mathematics

2 answers:

sattari [20]3 years ago

7 0

3(6+b)=19

18+3b=19

3b=1

b=1/3

so then a+b= 1/3+6

1/3+6=

19/3 or 6 1/3

aniked [119]3 years ago

6 0

Hello!

In a really simple way, 3 times our answer is 19. We can just divide to find it.

19/3= 6 1/3

Anyway, it might be nice to solve the equation for b. If a=6, then b has to be 1/3, but let's check.

18+3b=19

3b=1

b=1/3

Therefore, a+b= 6 1/3

I hope this helps!

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Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

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3 years ago

What is m∠ MHJ? 35 50 72.5 92.5

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Answer:

Step-by-step explanation:

MHJ and LHK are vertical angles, which means they are equal

2x-20 = x+15

Subtract x from each side

2x-20-x = x+15-x

x-20 = 15

Add 20 to each side

x-20+20 = 15+20

x = 35

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MHJ =2x-20

=2(35) -20

= 70 -20

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4 years ago

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