Tom can mow a large estate's lawn in 6 hours. It would take Tom and Ralph 4 hours to mow the lawn if

Mathematics

1 answer:

Anna11 [10]3 years ago

5 0

Answer:

he can do it in 24 hours if I'm worng correct me

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A ball is dropped from a height of 25feet and allowed to bounce until it comes to a rest. Each time the ball bounces it rebounds

alina1380 [7]

Answer:

$H3 = 25 * \frac{4}{5} * \frac{4}{5}* \frac{4}{5}$

Step-by-step explanation:

Given

$Initial\ Height =25$

$Rebound = \frac{4}{5}$

Required

Determine the height at the third rebound

At first rebound;

$H1 = 25 * \frac{4}{5}$

Second rebound

$H2 = 25 * \frac{4}{5}* \frac{4}{5}$

Third rebound

$H3 = 25 * \frac{4}{5} * \frac{4}{5}* \frac{4}{5}$

Hence; the equation is:

$H3 = 25 * \frac{4}{5} * \frac{4}{5}* \frac{4}{5}$

Solving further;

$H3 = 12.8\ ft$

8 0

3 years ago

Find the balance in an account with $4,250 principal earning 3% interest compounded quarterly after 12 years. Round your answer

Marat540 [252]

X = principle ( 1 + rate/compound rate) ^ years

x = 4250[1+(0.3/4)]^12
x = 4250(1+0.075)^12
x = 4250(1.075)^12
x = 4250(2.38178)
x = $10,122.23

3 0

4 years ago

3y+10x-54=0 5y-2x-34=0<br><br> x=<br><br> y=

Blababa [14]

<h3>Answer:</h3><h2>x = 3 and y = 8 → (3, 8)</h2><h3>Step-by-step explanation:</h3>

$\left\{\begin{array}{ccc}3y+10x-54=0&\text{add 54 to both sides}\\5y-2x-34=0&\text{add 34 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}3y+10x=54\\5y-2x=34&\text{multiply both sides by 5}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3y+10x=54\\25y-10x=170\end{array}\right}\ \ \ \ |\text{add both sides of the equations}\\.\ \ \ \ \ 28y=224\qquad\text{divide both sides by 28}\\.\ \ \ \ \ \ \ \dfrac{28y}{28}=\dfrac{224}{28}\\.\ \ \ \ \ \ \ \boxed{y=8}$

$\text{put the value of y to the first equation}\\\\3(8)+10x=54\\24+10x=54\qquad\text{subtract 24 from both sides}\\24-24+10x=54-24\\10x=30\qquad\text{divide both sides by 10}\\\dfrac{10x}{10}=\dfrac{30}{10}\\\boxed{x=3}$