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3 years ago

Given the system of equations: 2x – y = –2 x = 14 2y

1 answer:

5 0

If you would like to solve the system of equations, you can do this using the following steps:

2x - y = -2
x = 14 + 2y
__________
2x - y = -2
2 * (14 + 2y) - y = -2
28 + 4y - y = -2
28 + 3y = -2
3y = -2 - 28
3y = -30 /3
y = -30/3
y = -10

x = 14 + 2y = 14 + 2 * (-10) = 14 - 20 = -6

(x, y) = (-6, -10)

The correct result would be (-6, -10).

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Car A travels 20 mph faster than Car B. In the same time that Car A travels 252 miles, Car B travels 196 miles. Find their speed

RoseWind [281]

Answer:

A = 70

B = 90

Step-by-step explanation:

We know that Car A travels 20 mph faster than Car B.

Assuming the speed of Car B to be x and the speed of Car A to be x+20, we can write:

$\frac{196}{x} =\frac{252}{x+20}$

Taking the reciprocal of both sides to make x the subject:

$196(x+20)=252x$

$196x+3920=252x$

$252x-196x=3920$

$56x=3920$

$x=70$ ---> speed of Car A

Finding the speed of Car B: $x+20 = 70+20=90$

Therefore, the speed of Car A = 70 and the speed of Car B = 90.

8 0

3 years ago

PLEASE!! HELP!!

anygoal [31]

Answer:

2nd dot from the left (in the 1.7 column)

Step-by-step explanation:

the square root of 3 is 1.73

each interval on that number line goes by one tenths

(1.1, 1.2, 1.3, etc.)

so counting 7 spaces from the number one should land you at 1.7

(the second red dot from the left)

hope i was able to help!

5 0

3 years ago

10. What is the distance between (8,7) and (3,-5)?

Anarel [89]

Answer:

distance between points=13 units

Step-by-step explanation:

distance between points= $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

put $(x_1,x_2)$ =(8,7) and $(y_1,y_2)$ =(3,-5)

distance between points= $\sqrt{(3-8)^2+(-5-7)^2}$

distance between points= $\sqrt{(-5)^2+(-12)^2}$

distance between points= $\sqrt{25+144}$

distance between points= $\sqrt{169}$

distance between points=13 units answer

8 0

3 years ago

How do I solve 4/9+9/2 and write my answer as a mixed number?

jenyasd209 [6]

9 has factors of 3*3.

2 is prime, so no factors.

from those two denominators, we can get the LCD of hmmm simply their product, namely 18.

$\bf \cfrac{4}{9}+\cfrac{9}{2}\implies \stackrel{\textit{using the LCD of 18}}{\cfrac{(2)4+(9)9}{18}}\implies \cfrac{8+81}{18}\implies \cfrac{89}{18}\implies 4\frac{17}{18}$

now, recall that, to get the mixed fraction, we divide 89 ÷ 18, the quotient goes up front, the "4", and the remainder is the one atop, the "17".

8 0

4 years ago

Two trains leave the station at the same time one heading east and one heading west the eastbound train travels 80 miles per hou

k0ka [10]

100*2.2=220
80*2=176
220+176=396

So the two trains will take 2.2 hours so that they are 396 miles apart.

5 0

3 years ago