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3 years ago

Eleanor can drive an average of 374 miles on one tank of gas. How many miles can she drive on 15 tanks of gas?

Mathematics

2 answers:

lidiya [134]3 years ago

8 0

Well you would just multiply 374 by 15 and that would be your answer

Mnenie [13.5K]3 years ago

5 0

Eleanor can drive 5610 miles on 15 tanks of gas. All you do is take 374 and multiply it by 15.

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I really need help on some questions can you help....

umka2103 [35]

Answer:

Step-by-step explanation:

The answer will be 20 because you are doubling from both sides.

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2 years ago

Which of the following has two bases?<br> A. prism<br> B. pyramid<br> C. line<br> D. plane

Margaret [11]

A. Prism

A prism has two bases

3 0

3 years ago

Consider the data set

Serhud [2]

Answer: 3.496

Explanation: You find the mean, which is 57.714. Next, you subtract the mean from each number in the dataset, |55 - 57.714|, |59 - 57.714|, etc. You then add all of those numbers together and divide them by the amount of numbers like you would determining the mean. This gives you 3.496. Also sorry for taking so long to respond I’m on my phone and cannot type as fast as I would on pc.

7 0

2 years ago

find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B

SashulF [63]

Answer:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

$a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10$

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

$|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3$

$|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5$

And finally we can calculate the angle between the vectors like this:

$cos \theta = \frac{ab}{|a| |b|}$

And the angle is given by:

$\theta = cos^{-1} (\frac{ab}{|a| |b|})$

If we replace we got:

$\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190$

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately $\theta \approx 48$

3 0

3 years ago

2x-5y=3 4y-x=-3 solve by elimination

loris [4]

Answer:

x = -1 and y = -1

Step-by-step explanation:

to solve this equation we say

let

2x-5y=3.......................................... equation 1

4y-x=-3............................................equation 2

from equation 2

4y-x=-3............................................equation 2

4y + 3 = x

i.e

x = 4y + 3 ............................................. equation 3

put x = 4y + 3 in equation 1

2(4y +3) - 5y = 3

8y + 6 -5y = 3

3y +6 = 3

3y= 3-6

3y -3

divide both sides by the coefficient of y which is 3

3y/3 = -3/3

y = -1

put y = -1 into equation 3

x = 4y + 3 ............................................. equation 3

x = 4(-1) + 3

x = -4 + 3

x = -1

therefore the value of x = -1 and y = -1 respectively

4 0

3 years ago