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2 years ago

At what rate (mph) must you travel to go 1,112 miles in 26 hours? Round your answer to the nearest whole number.

Mathematics

1 answer:

N76 [4]2 years ago

8 0

Answer:

42.7mph (can round it to 43mph)

Step-by-step explanation:

since you have distance and time to find the speed you can just divide the distance 1112 with the time 26 and you will get the speed.

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Kyra is building a dollhouse. The carpet for the bedroom is 27 square inches.The length of the bedroom is 6 inches. How long is

nignag [31]

Hi there, This is a division problem therefore we are going to divide. 27 square inches ÷ 6 inches = 4.5 inches. So, the width is 4.5 inches

8 0

3 years ago

Find the distance between a point (– 2, 3 – 4) and its image on the plane x+y+z=3 measured parallel to a line

Ber [7]

Answer:

The distance is:

$\displaystyle\frac{3\sqrt{142}}{10}$

Step-by-step explanation:

We re-write the equation of the line in the format:

$\displaystyle\frac{x+2}{3}=\frac{y+\frac{3}{2}}{2}=\frac{z+\frac{4}{3}}{\frac{5}{3}}$

Notice we divided the fraction of y by 2/2, and the fraction of z by 3/3.

In that equation, the director vector of the line is built with the denominators of the equation of the line, thus:

$\displaystyle\vec{v}=\left< 3, 2, \frac{5}{3}\right>$

Then the parametric equations of the line along that vector and passing through the point (-2, 3, -4) are:

$x=-2+3t\\y=3+2t\\\displaystyle z=-4+\frac{5}{3}t$

We plug them into the equation of the plane to get the intersection of that line and the plane, since that intersection is the image on the plane of the point (-2, 3, -4) parallel to the given line:

$\displaystyle x+y+z=3\to -2+3t+3+2t-4+\frac{5}{3}t=3$

Then we solve that equation for t, to get:

$\displaystyle \frac{20}{3}t-3=3\to t=\frac{9}{10}$

Then plugging that value of t into the parametric equations of the line we get the coordinates of the intersection:

$\displaystyle x=-2+3\left(\frac{9}{10}\right)=\frac{7}{10}\\\displaystyle y=3+2\left(\frac{9}{10}\right)=\frac{24}{5} \\\displaystyle z=-4+\frac{5}{3}\left(\frac{9}{10}\right)=-\frac{5}{2}$

Then to find the distance we just use the distance formula:

$\displaystyle d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

So we get:

$\displaystyle d=\sqrt{\left(-2-\frac{7}{10}\right)^2+\left(3-\frac{24}{5}\right)^2+\left(-4 +\frac{5}{2}\right)^2}=\frac{3\sqrt{142}}{10}$

3 0

3 years ago

How do you write 2916 divided by 9 in the Associative Property

inysia [295]

You can only multiply and add with associative property. are you talking about distributive property or identity property

7 0

3 years ago

The inequality models all of the combinations of scores of 20 and 30 points that will give a total greater than 400 points in a

adoni [48]

Answer:

<h2>D. They will be negative numbers.</h2>

Step-by-step explanation:

If the inequality models scores of 20 and 30 points, then the values for variables x and y must be positive, because you can't score a negative number, you score or you don't that's it.

Therefore, the right answer is D. They will be negative numbers, because score can't be negative numbers.

4 0

3 years ago

Solve each equation <br> -10=-14v+14v

Vinvika [58]

Answer:

No solution.

Step-by-step explanation:

Simplify. Combine like terms:

-10 = -14v + 14v

-10 = (-14v + 14v)

-10 = (0)

-10 ≠ 0 ∴ no solution is your answer.

3 0

4 years ago