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amm1812
3 years ago
7

Mrs. Kemsley’s family always travels to a relative's

Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0

492.75 hours plus a year

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What is the absolute value of a number?
Nadusha1986 [10]

Answer:

All of the whole numbers

Step-by-step explanation:

absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive

4 0
3 years ago
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Look at the sequence : 5, -10, 20, -40, 80
Sphinxa [80]

Answer:

5 (5x1) , -10 -(5x2), 20(10x2), -40 -(20x2), 80(40x2)

so the next number should be previous number in the sequence multiplied by 2 and a negative sign.

-`(80x2) = -160


7 0
3 years ago
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Ella has 0.5 lb of sugar. how much water should she add to make the following concentrations? Tell Ella how much syrup she will
makkiz [27]

Answer:

For 50% syrup, add 0.5 lb of water for 1 lb of syrup; for 5% syrup, add 9.5 lb of water for 10 lb of syrup; for 75% syrup, add 0.17 lb of water for 0.67 lb of syrup; for 1.5% syrup, add 32.8 lb of water for 33.3 lb of syrup.

Step-by-step explanation:

Let x represent the amount of water added.  This means the total mass of the syrup is represented by 0.5+x.

To find percentages, we divide the part by the whole.  For a 50% syrup, we need the part (sugar) compared to the whole (sugar + water) to equal 50%, or 0.50:

Multiply both sides by 0.5+x:

Using the distributive property, we have

0.5 = 0.5(0.5)+0.5(x)

0.5 = 0.25+0.5x

Subtract 0.25 from each side:

0.5-0.25 = 0.25+0.5x-0.25

0.25 = 0.5x

Divide both sides by 0.5:

0.25/0.5 = 0.5x/0.5

x = 0.5

For 50% syrup, add 0.5 lb of water.  This makes the total mass 0.5+0.5 = 1 lb.

For 5% syrup, we change the equation to equal 0.05 (5% = 5/100 = 0.05) and leave everything else the same:

Multiply both sides by 0.5+x:

Using the distributive property,

0.5 = 0.05(0.5)+0.05(x)

0.5 = 0.025 + 0.05x

Subtract 0.025 from both sides:

0.5-0.025 = 0.025+0.05x-0.025

0.475 = 0.05x

Divide both sides by 0.05:

0.475/0.05 = 0.05x/0.05

x = 9.5

For 5% syrup, add 9.5 lb of water; the total mass will be 9.5+0.5 = 10 lb.

For 75% syrup, set the equation equal to 0.75:

Using the distributive property,

0.5 = 0.75(0.5)+0.75(x)

0.5 = 0.375 + 0.75x

Subtract 0.375 from each side:

0.5 - 0.375 = 0.375 + 0.75x - 0.375

0.125 = 0.75x

Divide both sides by 0.75:

0.125/0.75 = 0.75x/0.75

0.17 = x

For 75% syrup, add 0.17 lb of water; the total mass is 0.17+0.5 = 0.67 lb.

For 1.5% syrup, set the equation equal to 0.015:

Using the distributive property,

0.5 = 0.015(0.5) + 0.015(x)

0.5 = 0.0075 + 0.015x

Subtract 0.0075 from each side:

0.5-0.0075 = 0.0075 + 0.015x - 0.0075

0.4925 = 0.015x

Divide both sides by 0.015:

0.4925/0.015 = 0.015x/0.015

32.8 = x

For 1.5% syrup, use 32.8 lb of water; the total mass is 32.8+0.5 = 33.3 lb.

I hope this is right and have a good day

3 0
2 years ago
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What percent of 360 is 120 <br>no links​
lesya [120]

Answer:

33.33

Percentage Calculator: 120 is what percent of 360? = 33.33.

3 0
2 years ago
Write the formula for the perimeter of a rectangle.Then substitute 12in for the length and 6in for the width solve the equation
Anastaziya [24]

Answer:

Step-by-step explanation:

Let L represent the Length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

Then substitute 12 in for the length and 6in for the width. It becomes.

Perimeter = 2(12 + 6).

Perimeter =2 × 18 = 36

3 0
3 years ago
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