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Sindrei [870]
3 years ago
7

John bikes 22 km per hour and starts at mile 10. Gymn bikes 28 km per hour and starts at mile 0. Which system of linear equation

s represents this situation?
Mathematics
1 answer:
leonid [27]3 years ago
7 0

Answer:

Step-by-step explanation:

The following are linear equations for the distance that John has biked (J) and the distance that Gymn has biked (G). These two equations represent the situation being described using the values provided.

J = 22x + 10

G = 28x + 0

In these equations the variable x represents the number of hours each of the bicyclists have biked.

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3 years ago
Please please help with this. i need all 10 plsss. will mark as brainliest
iren2701 [21]

Answer:

1) (x+3)(x+4)

2) (x-9)(x+1)

3) (x-6)(x+5)

4) (x-3)(x-5)

5) (x-10)(x+1)

6) (x+3)(x+8)

7) (x-2)(x-8)

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5 0
3 years ago
Which ordered pair is a solution to the system of linear equations One-half x minus three-fourths y = StartFraction 11 Over 60 E
s344n2d4d5 [400]

Answer:

\left(\dfrac{2}{3},\dfrac{1}{5}\right)

Step-by-step explanation:

Given the system of two equations:

\left\{\begin{array}{l}\dfrac{1}{2}x-\dfrac{3}{4}y=\dfrac{11}{60}\\ \\\dfrac{2}{5}x+\dfrac{1}{6}y=\dfrac{3}{10}\end{array}\right.

Multiply the first equation and the second equation by 60 to get rid of fractions:

\left\{\begin{array}{l}30x-45y=11\\ \\24x+10y=18\end{array}\right.

Now multiply the first equation by 4 and the second equation by 5:

\left\{\begin{array}{l}120x-180y=44\\ \\120x+50y=90\end{array}\right.

Subtract them:

(120x-180y)-(120x+50y)=44-90\\ \\120x-180y-120x-50y=-46\\ \\-230y=-46\\ \\y=\dfrac{46}{230}=\dfrac{1}{5}

Substitute it into the first equation:

30x-45\cdot \dfrac{1}{5}=11\\ \\30x-9=11\\ \\30x=11+9\\ \\30x=20\\ \\x=\dfrac{2}{3}

The solution is \left(\dfrac{2}{3},\dfrac{1}{5}\right)

4 0
3 years ago
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Ashley draws a square that has a diagonal of
xz_007 [3.2K]
The diagonal is the hypotenuse of a right triangle with the sides of the square as legs.
By Pythagoras (s = side)
s^2 + s^2 = 15^2
2s^2 = 225
s^2 = 112.5
s = sqrt(112.5)
s = 10.6 cm (to the nearest tenth)
5 0
3 years ago
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nikitadnepr [17]

Answer:

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Step-by-step explanation:

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