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DerKrebs [107]
2 years ago
12

Frank can mow lawns at a constant rate of 6/5 lawns per hour. what is the ratio of lawns to hours?

Mathematics
1 answer:
Igoryamba2 years ago
6 0

Answer:

6 : 5

Step-by-step explanation:

Rate = \frac{6}{5}

But Rate is also equal to number of lawns mowed in a certain amount of time.

Since ratio should always be in terms of simple whole numbers.

If 6/5 lawns are mowed in 1 hour, then,

6 lawns will be mowed in:

=\frac{6 \times 1}{\frac{6}{5} }

= 5 hours.

therefore, 6 laws will be mowed in 5 hours.

Ratio of lawns to hours in 6:5

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Simplify: -3(y + 2)^2– 5 + 6y<br> What is the simplified product in standard form?
Ymorist [56]

-3(y²+4y+4) - 5 +6y

-3y² - 12y - 12 -5 + 6y

-3y² -6y -17

-(3y²+6y+17)

7 0
2 years ago
Read 2 more answers
In 24 hours a baby drank 6 bottles of formula. Each bottle holds 8 fluid ounces. How many cups of formula did the baby drink
hammer [34]

Answer:

6 cups

Step-by-step explanation: 8oz = 1 cup  6 *8=48 or

48/8= 6

3 0
2 years ago
Amy makes an initial investment of $5000. The investment loses 13.5% each year. Find the amount Amy has at the end of 8 years.
Pani-rosa [81]

Answer:

\$1,567.11

Step-by-step explanation:

we know that

The equation of a exponential decay function is given by

y=a(1-r)^x

where

y is the value of the investment

x is the number of years

a is the initial value

r is the rate of change

we have

a=\$5,000\\r=13.5\%=13.5/100=0.135

substitute

y=5,000(1-0.135)^x

y=5,000(0.865)^x

Find the amount Amy has at the end of 8 years

For x=8 years

substitute the value of x

y=5,000(0.865)^8=\$1,567.11

3 0
2 years ago
Three people get into an empty elevator at the first floor of a building that has 10 floors. Each presses the button for their d
Dominik [7]

Answer:

The probability that the buttons for 3 consecutive floors are pressed is \frac{1}{12} or 0.0833

Step-by-step explanation:

Consider the provided information.

They are equally likely to want to go to floors 2 through 10.

That means the number of buttons are 9.

Each presses the button for their desired floor (unless one of the others has already pressed that button).

It means that if two people wants to go at the same floors, then only one person will press the button.

Therefore, the total number of ways are: 9×8×7=504

Three consecutive floors means they have been picked:

2,3,4 or 3,4,5 or 4,5,6 or 5,6,7 or 6,7,8 or 7,8,9 or 8,9,10

We have 3 persons that means we can arrange them in 3! ways.

Therefore, the total number of favorable outcomes for this case is 7×3!=42

Probability = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}

Probability = \frac{42}{504}=\frac{1}{12}

Hence, the probability that the buttons for 3 consecutive floors are pressed is \frac{1}{12} or 0.0833

4 0
2 years ago
1. Use the mental math strategy of rounding (for example +1/-1, +2/- 2, +10/-10, or +20/-20) to add the following numbers. Write
Igoryamba
A. 41 + 16=57 40+17= 57
b. 79 + 14=93 80+13= 93
c. 580+355=935 600+335=935
d. 174+620=794 194+600=794
e. 378+210=588 388+200=588


Here you go, hope this helps! :)
7 0
2 years ago
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