Find the area; reduce to lowest terms:

Mathematics

2 answers:

tamaranim1 [39]1 year ago

5 0

Area = length x width

area = 2 3/4 x 2/5

area = 1 1/10 feet :)

Colt1911 [192]1 year ago

5 0

Answer:

11/10 or 1 1/10 square feet

Step-by-step explanation:

Simplify the following:

((2 + 3/4)×2)/5

Hint: | Express ((2 + 3/4)×2)/5 as a single fraction.

((2 + 3/4)×2)/5 = ((2 + 3/4)×2)/5:

((2 + 3/4)×2)/5

Hint: | Put the fractions in 2 + 3/4 over a common denominator.

Put 2 + 3/4 over the common denominator 4. 2 + 3/4 = (4×2)/4 + 3/4:

(((4×2)/4 + 3/4) 2)/5

Hint: | Multiply 4 and 2 together.

4×2 = 8:

((8/4 + 3/4)×2)/5

Hint: | Add the fractions over a common denominator to a single fraction.

8/4 + 3/4 = (8 + 3)/4:

(((8 + 3)/4)×2)/5

Hint: | Evaluate 8 + 3.

8 + 3 = 11:

(11/4×2)/5

Hint: | Express 11/4×2 as a single fraction.

11/4×2 = (11×2)/4:

((11×2)/4)/5

Hint: | Express ((11×2)/4)/5 as a single fraction.

((11×2)/4)/5 = (11×2)/(4×5):

(11×2)/(4×5)

Hint: | In (11×2)/(4×5), divide 4 in the denominator by 2 in the numerator.

2/4 = 2/(2×2) = 1/2:

11/(2×5)

Hint: | Multiply 2 and 5 together.

2×5 = 10:

Answer: 11/10 or 1 1/10 sqr feet

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Answer:

35 quarters

Step-by-step explanation:

This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

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$0.10d+0.25q=11.25$ is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get $d=60-q$ . We now substitute this for d in the second equation.