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3 years ago

The ratio of trucks to cars in an auto show is 7 to 8. If there are a total of 21 trucks, how many cars are there?

Mathematics

1 answer:

Citrus2011 [14]3 years ago

3 0

Answer:

The answer is 24.

Explain:

7 times 3 is 21. So 8 times 3 is 24.

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What is the equation of the line that passes through the points (6,8) and (-3,2)

Vikki [24]

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (6, 8) and (-3, 2). Substitute:

$m=\dfrac{2-8}{-3-6}=\dfrac{-6}{-9}=\dfrac{2}{3}\\\\y-8=\dfrac{2}{3}(x-6)\qquad|\text{use distributive property}\\\\y-8=\dfrac{2}{3}x-4\qquad|+8\\\\y=\dfrac{2}{3}x+4\qquad|-\dfrac{2}{3}x\\\\-\dfrac{2}{3}x+y=4\qquad|\cdot(-3)\\\\2x-3y=-12$

Answer:

point-slope form: $y-8=\dfrac{2}{3}(x-6)$

slope-intercept form: $y=\dfrac{2}{3}x+4$

standard form: $2x-3y=-12$

8 0

4 years ago

Round 171,936 to the nearest ten thousand

hodyreva [135]

Answer:

Rounding = 170,000

3 0

3 years ago

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The triangular base of a prism is a right triangle with sides a and b. B= 2a. The height of the prism is 10mm and it's volume is

Olenka [21]

Answer:

Therefore,

The lengths of side a and b are,

$a=2\ mm\\b=4\ mm$

Step-by-step explanation:

Given:

Shape is of triangular prism.

Length = a

Width = b

Height = h =10 mm

Also, b = 2a

Volume of the Triangular Prism = 40 mm³

To Find:

a = ?

b =?

Solution:

Shape is of triangular prism. GIVEN

We Know that,

$\textrm{Volume of the Triangular Prism}=\dfrac{1}{2}\times Length\times Width\times Height$

Substituting the given values we get

$40=\dfrac{1}{2}\times a\times 2a\times 10\\\\2a^{2}=8\\\\a^{2}=4\\square\ rooting\\\\a=\sqrt{4}=2\ mm$

But ,

$b = 2a$ Given

Substituting a we get

$b = 2\times 2=4\ mm$

Therefore,

The lengths of side a and b are,

$a=2\ mm\\b=4\ mm$

7 0

3 years ago

A car travels 78 miles on 3 gallons of gasoline. How many miles can the car travel on one gallon of gasoline?

babymother [125]

Answer:

26 miles.

Step-by-step explanation:

you want to divide 78 by 3.

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3 years ago

WILL GIVE BRAINLIEST!!!!!

Svetlanka [38]

Commutative property because its the first part just moved around
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3 years ago

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