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jek_recluse [69]
4 years ago
7

The rug in Alan's room has a area of 18 square feet. He is planning to buy another rug that is twice as long and twice as wide.

What is the area of the new rug?
Mathematics
1 answer:
maxonik [38]4 years ago
6 0
Its 324 due to the fact that 18 would come out to be 9 so twice of 9 is 18 and 18 times by 18 equals 324
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A jar is filled with only dimes and quarters. The jar contains a total of 60 coins and the value of the jar is $11.25. How many
inessss [21]

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.

  • d+q=60 is an equation representing the total number of coins
  • 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.

0.10(60-q)+0.25q=11.25\\6-0.10q+0.25q=11.25\\6+0.15q=11.25

After simplifying, we subtract 6 across and divide by the coefficient of q.

6+0.15q=11.25\\0.15q=5.25\\q=35

We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.

3 0
3 years ago
What is the measurement of BC to the nearest centimeter?
77julia77 [94]

Answer:

a   8

Step-by-step explanation:

You are given two sides and the included angle. Since you don't have any side and the opposite angle, you must use the law of cosines.

a^2 = b^2 + c^2 - 2bc\cos A

a^2 = 5^2 + 11^2 - 2(5)(11)\cos 39^\circ

a^2 = 25 + 121 - 110\cos 39^\circ

a^2 = 60.51

a = 7.779

Answer: a = 8 cm

7 0
3 years ago
PLZ HELP PLZ PLZ PLZ HELP
faust18 [17]

Answer:the diameter is 7

Step-by-step explanation: 21.98 divide by pi is 7 so diameter is 7

5 0
3 years ago
2x - 5 &gt; -9<br> solve inequality
n200080 [17]

Answer:

x>-2

Step-by-step explanation:

first you want to get rid of all of the numbers on the left so you can only be left with 2x>-4 then you decide both sides by 2x because you only want to be left with one x and once you divide you will be left with x>-2

3 0
2 years ago
Which lists these numbers in order from least to greatest? –14.6, 159, 1.07, –1.295, 24.6
Monica [59]

c is the answer because negative numbers have to go first


4 0
3 years ago
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