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3 years ago

Ben drives 405 miles on 15 gallons. How many miles does Ben drive on one gallon? HELP ASAP

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

8 0

Iauida girgel 39 for mayos

AfilCa [17]3 years ago

8 0

This is simple: divide 405 miles by 15 gallons. The answer should be 27 miles per gallon.

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Karen raked 3/5 of the yard he yard. Minute raked 1/3 of the amount Karen raked. How much of the yard did Minnie rake

disa [49]

(3/5)(1/3)=1/5 of the yard

3 0

3 years ago

denis-greek [22]

Answer:

Part a) $AB=15\ cm$

Part b) $AB=11.1\ cm$

Part c) $AB=3/5\ cm$

Part d) $AB=3s\ cm$

Step-by-step explanation:

see the attached figure to better understand the question

we know that

To find the length of the image after a dilation, multiply the length of the pre-image by the scale factor

Part a) we have

The scale factor is 5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(5)=15\ cm$

Part b) we have

The scale factor is 3.7

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(3.7)=11.1\ cm$

Part c) we have

The scale factor is 1/5

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(1/5)=3/5\ cm$

Part d) we have

The scale factor is s

The length of the pre-image is 3 cm

therefore

The length of the image AB after dilation is

$3(s)=3s\ cm$

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4 years ago

“Write a linear equation that is perpendicular to 2x-5y=5 and passes through the point (2,-9).

k0ka [10]

Okay so you are correct with the gradient of the perpendicular line it is -5/2 however the equation is not y= -5/2 -1 because it is a new Line and has a new y-intercept therefore its Y=-5/2 + C but you have corrected that when doing the formula and have got the right answer

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3 years ago

1+sin^2 x = 2-cos^2 x

Alinara [238K]

1+sin²x=2-cos²x
Remenber: sin²x+cos²x=1 ⇒sin²x=1-cos²x

1+sin²x=1+(1-cos²x)=2-cos² x (this is true)

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3 years ago

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SVETLANKA909090 [29]

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Remember: SOH-CAH-TOA

Looking from the angle, we know the adjacent side and the hypotenuse. Therefore, we should use cosine to solve.

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x = cos^-1(12/36)

x = 71 degrees

Hope this helps!

6 0

3 years ago