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OlgaM077 [116]
2 years ago
14

A box of cereal states that there are 96 calories in a

Mathematics
1 answer:
aivan3 [116]2 years ago
3 0

Answer: 96

Step-by-step explanation:

96/3 = 32 per cup  32 x 3 = 96

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the directions on a bottle of vinegar say "mix 1 cup of vinegar with 1 gallon of water to make a cleaning solution". the ratio o
Hoochie [10]
The mixture is 1 cup of vinegar to 1 gallon of water.
Since 1 gallon is 16 cups, it could also be
1 cup of vinegar to 16 cups of water.
If we had 80 fluid ounces of water, we'd have to change the water to 5 fluid ounces to keep the mixture the same. (It's still 1 part vinegar, 16 parts water)
7 0
3 years ago
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The perimeter of a rectangular piece of plastic is 30 millimeters. The area is 54 square millimeters. What are the dimensions of
Delvig [45]

Answer:

6 mm and 9 mm are the dimensions of the piece of plastic.

Step-by-step explanation:

Keep in mind the formulas for the area and perimeter of a rectangle:

A = lw

P = 2 (l + w)

List the factors of 54:

1, 2, 3, 6, 9, 18, 27, 54

POSSIBLE DIMENSIONS of the piece of plastic:

1 mm and 54 mm:

Area - 54 mm^2

Perimeter - 110 mm

2 mm and 27 mm

Area - 54 mm^2

Perimeter - 58 mm

3 mm and 18 mm

Area - 54 mm^2

Perimeter - 42 mm

6 mm and 9 mm

Area - 54 mm^2

Perimeter - 30 mm

The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.

Hope this helps!

6 0
2 years ago
Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
lorasvet [3.4K]

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ

Likewise:

\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

m\angle PAC=m\angle PAB+m\angle BAC

Likewise:

m\angle QAB=m\angle QAC+m\angle BAC

Since ∠QAC ≅ ∠PAB:

m\angle PAC=m\angle QAC+m\angle BAC

And by substitution:

m\angle PAC=m\angle QAB

Thus:

\angle PAC\cong \angle QAB

Then by SAS Congruence:

\Delta PAC\cong \Delta BAQ

And by CPCTC:

PC\cong BQ

5 0
3 years ago
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Find an equation of variation where y varies directly as x and y = 75 when x = 5, find y when x is 1.
Dafna11 [192]
<span>y=375/x, so when x=1, y=375</span>
7 0
3 years ago
Help guys<br> I realy need help <br> I will report you if you give me the wrong answer
telo118 [61]

Answer:

the Answer is 150x + 12100 ≤ 26500

Step-by-step explanation:

The max weight is 26500 so the weight would have to be the same or less than 26500 (≤)

There is already 12100 killograms on the sipping containter so that is why you have + 12100

and you have 150x because x is the number of 150-kilogram crates

and for as many crates you have to multiply by the weight.

7 0
2 years ago
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