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olganol [36]
3 years ago
6

A rate simplified so that it has a denominator of 1

Mathematics
1 answer:
Yakvenalex [24]3 years ago
5 0
This is called a unit rate.
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A group of workers can plant 6 3/4 acres in 1 7/8 days. What is the unit rate in acres per day?
Sedaia [141]

Answer:

The answer is 3.6 acres per day

Step-by-step explanation:

To find the unit rate divide the number of acres by number of days

∴ Unit rate = 6\frac{3}{4} ÷ 1\frac{7}{8}

                  = (6 × 4 + 3)/4 ÷ (1 × 8 + 7)/8 = 27/4 ÷ 15/8

                  = 27/4 × 8/15 = 18/5 = 3.6 acres per day

6 0
3 years ago
The length of a rectangular deck is 5 times its width. If the deck’s perimeter is 24 feet, what is the deck’s area?
spayn [35]

Answer:

20ft²

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 5W .......equation 1

2L + 2W = 24 ........equation 2

To find the width

Substituting equation 1 into equation 2, we have;

2(5W) + 2W = 24

10W + 2W = 24

12W = 24

W = 24/12

Width, W = 2 ft

To find the length;

Substituting the value of "W" into equation 1, we have;

L = 5W

L = 5*2

L = 10 ft

To find the area of the rectangle;

Area = LW

Area = 10*2

<em>Area = 20 ft²</em>

Therefore, the deck's area is 20 feet square.

5 0
3 years ago
12x-3y=3<br> y=4x-1 please help solve this equation
Paraphin [41]
12x-3y=3
y=4x-1

12x-3(4x-1)=3
12x-12x-3=3
24x=6
x=4

y=4(4)-1
y=15

x=4; y=15
5 0
3 years ago
Read 2 more answers
The nearest Black hole is 7800 light years from Earth. Light travels at 186,000 per sec how many miles away is it?
Basile [38]
Distance=speed*time
speed of light in miles=3.6 km/hr
7800 light years=7800(9.4607×10^12) km
thus the distance in miles will be as follows:
1 mile=1.60934
thus the distance from each to black hole is:
[7800(9.4607×10^12)]/1.60934
=4.5853244×10^16 miles
5 0
3 years ago
a piggy bank contains $2.00 in nickels and dime. the number of dimes is 5 more than than twice the number of nickels. How many d
skad [1K]
There is 25 dimes in the piggy bank-
I really hope this helped- i’m trying to do the best i can!
6 0
3 years ago
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