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2 years ago

3 women push a stalled car. Each woman pushes with a 425 N force. What is the mass of the

Mathematics

1 answer:

iogann1982 [59]2 years ago

8 0

Answer:

1,500 Kg

Step-by-step explanation:

Formual for froce is given by

force = mass * acceleration

Force exerted by 1 woman = 425 N

no. of women exerting force = 3

Force exerted by 3 woman = 425 * 3 N = 1275 N

Acceleration produced by 1275 N force = 0.85 m/s^2

Using formula force = mass * acceleration

1275 = mass * 0.85 m/s^2

=> mass = 1275/ 0.85 m/s^2 = 1,500 Kg

Thus, mass of car is 1,500 Kg.

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Jessica, Lauren and Kimmie were paid a total of $120 for babysitting in a ratio of 2:3:5. How much less did Jessica make than Ki

Tju [1.3M]

Answer:

Jessica makes $36 less than Kimmie

Step-by-step explanation:

Let

x -----> amount paid to Jessica

y ----> amount paid to Lauren

z ----> amount paid to Kimmie

we know that

$x+y+z=120$ ------> equation A

$\frac{x}{y}=\frac{2}{3}$

$x=\frac{2}{3}y$ -----> equation B

$\frac{y}{z}=\frac{3}{5}$

$z=\frac{5}{3}y$ -----> equation C

substitute equation B and equation C in equation A and solve for y

$\frac{2}{3}y+y+\frac{5}{3}y=120$

$\frac{10}{3}y=120$

$y=120(3)/10$

$y=36$

Find the value of x

$x=\frac{2}{3}(36)=24$

Find the value of z

$z=\frac{5}{3}(36)=60$

therefore

The amount paid to Jessica was $24

The amount paid to Lauren was $36

The amount paid to Kimmie was $60

To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.

$\$60-\$24=\$36$

therefore

Jessica makes $36 less than Kimmie

7 0

2 years ago

X+3y=14 y=3x-14 Solving systems using substitution How do i do this?

Free_Kalibri [48]

X + 3y = 14
x + 3(3x - 14) = 14
x + 9x - 42 = 14
10x - 42 = 14
 + 42 + 42
 10x = 56
 10 10
 x = 5.6
5.6 + 3y = 14
- 5.6 - 5.6
 3y = 8.4
 3 3
 y = 2.7
 (x, y) = (2.7, 5.6)

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Step-by-step explanation:

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Answer:

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2 years ago

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