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3 years ago

9

Whats 107 over 1000 as a decimal

2 answers:

ivann1987 [24]3 years ago

6 0

Step-by-step explanation:

107 / 1000 = 0.107

Vladimir79 [104]3 years ago

6 0

Answer:0.107

Step-by-step explanation: 107 over 1000 is 107 decided by 1000, which is 0.107

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What is the component form of the vector represented by 2a when a⃗ =〈−2,3〉?

Paladinen [302]

Answer:

$\vec v = 2\cdot \vec a = \langle -4,6 \rangle$

Step-by-step explanation:

Let $\vec a = \langle -2, 3 \rangle$ , we need to determine $\vec v = 2\cdot \vec a$ , which can be found by applying the following property:

$\alpha \cdot \langle x,y \rangle = \langle \alpha \cdot x, \alpha \cdot y\rangle$ , $\forall \,\alpha,x,y\in \mathbb{R}$ (1)

Then,

$\vec v = 2\cdot \langle -2,3 \rangle$

$\vec v = \langle -4,6 \rangle$

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3 years ago

Ms. Maxwell bought a purse with 1/4 of her money. The purse cost 37.00. How much money did Ms. Maxwell have left after she bough

bixtya [17]

Answer:111

the purse was 1/4 so. we have to do

37.00x4 we get 148 then. we do 148-37 to get a total of 111 (:

Step-by-step explanation:

7 0

2 years ago

Using all my points for this. Sorry for making somebody have to do this but I have to do some other homework on the side that I

givi [52]

Answer:

I am busy but all the questions from 1 to 6 just add the measure of 2 angles which are given and then subtract it from 180, you will get the measure of the remaining angle.

7.

8.: 180/3

9. x = 5

10. i dont know

i dont know = no time....

Step-by-step explanation:

8 0

3 years ago

Two lines, A and B, are represented by the equations given below!

lara [203]

Answer:

The solutions to the system of equations are:

$y=-8,\:x=-4$

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

$\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}$

$y-3x=4$

$-$

$\underline{y-x=-4}$

$-2x=8$

$\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}$

solve for x

$-2x=8$

Divide both sides by -2

$\frac{-2x}{-2}=\frac{8}{-2}$

$x=-4$

$\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4$

$y-\left(-4\right)=-4$

$y+4=-4$

$y=-8$

The solutions to the system of equations are:

$y=-8,\:x=-4$

Thus, option C is true because the point satisfies BOTH equations.

8 0

3 years ago

The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%. Between station A and station B, which

azamat

Answer:

Part a) The grade is 3.2%

Part b) This grade meet the rapid-transit rail standard

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

In this problem we have

$rise=8\frac{1}{2}\ ft=\frac{8*2+1}{2}=\frac{17}{2}\ ft$

$run=270\ ft$

so

$\frac{rise}{run}=\frac{17}{2}:270=0.0315$

convert to percentage

$0.0315*100=3.15\%$

Round to the nearest tenth of a percent

$3.2\%$

$3.2\% < 3.5\%$

therefore

This grade meet the rapid-transit rail standard

5 0

3 years ago