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3 years ago

Maria earns $40 washing 5 cars. At this rate, how much does Maria earn washing 6 cars?

Mathematics

1 answer:

tangare [24]3 years ago

3 0

Answer:

$240

Step-by-step explanation:

40 x 5 = 200

40 x 6 = 240 (basically just adding forty dollars)

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The function a(t)=t^(1/2)−t^(−1/2) m/s^2 represents the acceleration of a particle moving along a horizontal axis. At time t=0,

garri49 [273]

Answer:

see below

Step-by-step explanation:

a(t)=t^(1/2)−t^(−1/2)

We integrate to find the velocity

v(t) = integral t^(1/2)−t^(−1/2) dt

= t ^ (1/2 +1) t ^ (-1/2 +1)

------------ - ----------------- + c where c is the constant of integration

3/2 1/2

v(t) = 2/3 t^ 3/2 - 2 t^ 1/2 +c

We find c by letting t=0 since we know the velocity is 4/3 when t=0

v(0) = 2/3 0^ 3/2 - 2 0^ 1/2 +c = 4/3

0+c =4/3

c = 4/3

v(t) = 2/3 t^ 3/2 - 2 t^ 1/2 +4/3

To find the position function we need to integrate the velocity

p(t) = integral 2/3 t^ 3/2 - 2 t^ 1/2 +4/3 dt

2/3 t ^ (3/2 +1) 2 t ^ (1/2 +1) 4/3t

------------ - ----------------- + ------------- + c

5/2 3/2 1

p(t) = 4/15 t^ 5/2 - 4/3t ^ 3/2 + 4/3t +c

We find c by letting t=0 since we know the position is -4/15 when t=0

p(0) = 4/15 0^ 5/2 - 4/3 0 ^ 3/2 + 4/3*0 +c = -4/15

0 +c = -4/15

c = -4/15

p(t) = 4/15 t^ 5/2 - 4/3t ^ 3/2 + 4/3t -4/15

8 0

3 years ago

Read 2 more answers

Two numbers are of the ratio 3:5. If their difference is 18, find the numbers.

lozanna [386]

Est Answer: say the numbers are x and y......and y being the bigger number ... If the ratio is 5:3, then difference between ratio = 5-3 = 2 ... Substituting this x = 5y/3 in equation x-y=18 we get ... therefore x = 5 * 27/3 = 5*9 = 45 .... One number is 5 more than another. their sum is 53 what are the two numbers?

5 0

3 years ago

Help Please!! I WILL give brainliest and thanks!!

Tcecarenko [31]

Answer:

ez pts tysm

Step-by-step explanation:

5 0

3 years ago

What is the solution to the system of equations? {x+2y=10y=12x+3

Marianna [84]

The solution to given system of equations are $(x,y) = (\frac{4}{25} , \frac{123}{25})$

Solution:

Given that we have to find solution to the system of equations

Given equations are:

x + 2y = 10 ------ eqn 1

y = 12x + 3 ------ eqn 2

We can solve the above equations by substitution method

Substitute eqn 2 in eqn 1

x + 2(12x + 3) = 10

x + 24x + 6 = 10

25x = 10 - 6

25x = 4

$x = \frac{4}{25}$

Substitute the above value of x in eqn 2

$y = 12(\frac{4}{25}) + 3\\\\y = \frac{48}{25} + 3\\\\y = \frac{48+75}{25}\\\\y = \frac{123}{25}$

Thus the solution to given system of equations are $(x,y) = (\frac{4}{25} , \frac{123}{25})$

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3 years ago

Which situation is most likely to have a constant rate of change?

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

each brick is the exact same size.

(Also can I please have brianliest? I need it to level up!!!)

3 0

3 years ago

Maria earns $40 washing 5 cars. At this rate, how much does Maria earn washing 6 cars?​

Maria earns $40 washing 5 cars. At this rate, how much does Maria earn washing 6 cars?