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Studentka2010 [4]
3 years ago
7

Jack and Jane leave their home traveling in opposite directions on a straight road. Jack drives 20 mph faster than Jane. After 4

hours, they are 250 miles apart.​
Mathematics
1 answer:
mr_godi [17]3 years ago
6 0
What is the question?
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Solve the system using elimination: -3x - 3y = 12 -9x + 3y = -24<br><br>The answer is not (-1,-3)
FinnZ [79.3K]

Answer:

{x = 1, y = -5

Step-by-step explanation:

Solve the following system:

{-3 x - 3 y = 12 | (equation 1)

{3 y - 9 x = -24 | (equation 2)

Swap equation 1 with equation 2:

{-(9 x) + 3 y = -24 | (equation 1)

{-(3 x) - 3 y = 12 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{-(9 x) + 3 y = -24 | (equation 1)

0 x - 4 y = 20 | (equation 2)

Divide equation 1 by 3:

{-(3 x) + y = -8 | (equation 1)

{0 x - 4 y = 20 | (equation 2)

Divide equation 2 by 4:

{-(3 x) + y = -8 | (equation 1)

{0 x - y = 5 | (equation 2)

Multiply equation 2 by -1:

{-(3 x) + y = -8 | (equation 1)

{0 x+y = -5 | (equation 2)

Subtract equation 2 from equation 1:

{-(3 x)+0 y = -3 | (equation 1)

{0 x+y = -5 | (equation 2)

Divide equation 1 by -3:

{x+0 y = 1 | (equation 1)

{0 x+y = -5 | (equation 2)

Collect results:

Answer:  {x = 1 , y = -5

5 0
3 years ago
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant proportionality that relates the number of cookies
expeople1 [14]

Answer  k=16

A recipe says to use 3 cups of flour to make 48 cookies.

the number of cookies made, y, to the number of cups of flour used,x .

Than

y = kx

Where k is the constant of proportionality.

48 = 3k

k = 16

Therefore the constant of proportionality is 16.

6 0
3 years ago
if I set off for the market,a distance of 11km at 10am. And walk at an average speed of 3km per hour,At what time will I reach t
earnstyle [38]

Answer:

At 1:40 pm you will reach the market.

Step-by-step explanation:

Distance (d) = 11 km

Average speed (v) = 3 km/h

Formula:

\rm Average  \: speed = \dfrac{Distance}{Time} \\  \\  \rm 3 =  \dfrac{11}{t}  \\  \\  \rm t =  \dfrac{11}{3}  \\  \\  \rm t = 3 \frac{2}{3}  \\  \\  \rm t = 3 hr \: 40min

It will take 3 hours 40 minutes to reach the market.

So, if you set off for the market at 10 am you will reach market by 1:40 pm (10 am + 3hr 40min).

7 0
2 years ago
What value for p makes this equation true?<br> (14 x 49) = (14 x 40) + (14 x p)
Marta_Voda [28]

Answer:

0.0583090379

Step-by-step explanation:

8 0
3 years ago
Select all of the statements that are true for the given parabola. A. The minimum is (-1, 6)
ra1l [238]

Answer:

b AND d

Step-by-step explanation:

trust me ON this one

6 0
4 years ago
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