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4 years ago

Chapter Reference

Mathematics

1 answer:

Levart [38]4 years ago

3 0

Step-by-step explanation:

It is given that,

Total length of a board is 65 inches

It is sawed into two pieces such that one piece is 7 inches shorter than twice the length of the other piece.

Let x is the length of other piece and y is the length of first piece such that,

y = 2x-7 ....(1)

Also,

x+y = 65 .....(2)

Put the value of y from equation (1) to equation (2) such that,

x+2x-7 = 65

3x=65+7

3x=72

x = 24 inches

Put the value of x in equation (1)

y = 2(24)-7

y = 41 inches

So, the length of first piece is 41 inches while the length of other piece is 24 inches.

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Triangle GHI is translated using the rule (x, y) → (x + 5, y) to create triangle G′H′I′. If a line segment is drawn from point G

Debora [2.8K]

Step-by-step explanation:

the second answer.

they are parallel and congruent (same length).

simply because both points were translated by adding the same number of units to x. so, they have the same length, and point in the same direction.

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2 years ago

Dwayne buys ingredients to make a cake. He buys 112 pounds of flour, 12 ounces of coconut, and 114 pounds of sugar. What is the

Anastaziya [24]

Answer:

The only correct options are A, B and E.

Step-by-step explanation:

He buys $1\frac{1}{2}$ pounds of flour, 12 ounces of coconut, and $1\frac{1}{4}$ pounds of sugar.

We will add these together, but before that, we convert the 12 ounces to pounds, so that all the units are the same:

1 ounce = 0.0625 pounds

12 ounces = 12 * 0.0625 = $\frac{3}{4}$ pounds

He buys $\frac{3}{4}$ pounds of coconut.

Adding all of them together yields:

$1\frac{1}{2}$ + $\frac{3}{4}$ + $1\frac{1}{4}$ = $3\frac{1}{2}$ pounds

Let us also convert to ounces:

$3\frac{1}{2}$ / 0.0625 = 56 ounces

Let us also convert 1/2 pound to ounces:

1/2 / 0.0625 = 8 ounces

Hence, the total weight of ingredients that Dwayne bought is $3\frac{1}{2}$ pounds or 56 ounces or 3 pounds 8 ounces

Hence, options A, B and E are correct.

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3 years ago

Two crews are laying blacktop on a road. They start at the same time at opposite ends of a 18-mile road and work toward one anot

liraira [26]

Total road length is 36 miles.
If one crew’s rate is x miles/day, the other is 1.4x miles/day.
The collective distance per day is x+1.4x,
so in five days the distance is 5(x+1.4x).
Set that equal to the total distance:
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simplify:
x+1.4x=7.2
x(1+1.4)=7.2
x(2.4)=7.2
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3 years ago

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swat32

Answer:

Alice: 2184

Maggie:1794

Luna:798 this one is weird cause it has a decimal but u cant have a fraction of a bead so i left it out

Zeinab:1333 same with this one

Step-by-step explanation:

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3 years ago

What is the exact area of a circle whose radius is 9 yd? Enter your answer in the box. Express your answer in terms of

atroni [7]

Answer:

$81\pi$

Step-by-step explanation:

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Area = $81\pi$

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3 years ago

Read 2 more answers