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patriot [66]
1 year ago
7

7 of 9

Mathematics
1 answer:
aleksklad [387]1 year ago
8 0

Using proportions, it is found that the total volume of the glass is of 216 cm³.

<h3>What is the missing information?</h3>

The problem is incomplete, but researching it on a search engine, it is found that:

  • Initially, the glass is 1/3 full.
  • After adding 63 cm³ of orange of juice, the glass is 5/8 full.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Considering the volume of the glass as x, and the information given in the problem, the following equation can be built:

\frac{x}{3} + 63 = \frac{5x}{8}

We solve for x to find the volume of the glass as follows:

\frac{5x}{8} - \frac{x}{3} = 63

\frac{15x - 8x}{24} = 63

Then, applying cross multiplication:

7x = 24 x 63

Simplifying by 7:

x = 24 x 9

x = 216 cm³.

The total volume of the glass is of 216 cm³.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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pogonyaev

Answer: 49 cm^2

Step-by-step explanation:

The length of the small pink square box will be:

L^2 = 9

L = sqrt( 9 )

L = 3

The length of the big pink square box will be:

L^2 = 16

L = sqrt( 16 )

L = 4

The length of the yellow square box will be:

4 + 3 = 7

The area of the third square box will be

A = 7^2

A = 49 cm^2

6 0
2 years ago
3. How many gallons of ice-cream are produced each<br>week?​
andrezito [222]

Answer:

Each week 26,849,315 Gallons of ice cream is produced each week

Step-by-step explanation:

To find this we see how much is made in a year which is 1.4 billion gallons in the U.S.

To see how much is in a day we divide 1.4 billion by 365. Which is 3835616 Then we multiply it by 7 because there is 7 days in a week and the answer is 26849315

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3 years ago
Find the zeros of the quadratic function: y= 6(7x + 9)(8x - 3).
fiasKO [112]

Answer:

A) (-9/7,0), (3/8,0)

Step-by-step explanation:

Zeros of a quadratic function:

x for which y = 0.

In this question:

y = 6(7x + 9)(8x - 3)

It's 0 if one of the factors is 0. 6 is never 0, now about the other to:

7x + 9 = 0

7x = -9

x = -\frac{9}{7}

So (-9/7, 0) is a zero of the quadratic function.

The other is:

8x - 3 = 0

8x = 3

x = \frac{3}{8}

(3/8,0) is the other zero.

Thus, the correct answer is given by option A.

6 0
2 years ago
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Sergeu [11.5K]

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Step-by-step explanation:

6 0
2 years ago
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The formula for the cost of buying a car is:
AnnyKZ [126]

Answer:

Step-by-step explanation:

known information:  Monthly payment = 350  deposit = 2000

Formula

12 X monthly payment + deposit=cost of car

12 X        350                +     2000=

12X350+2000=

Parentheses Exponents Multiplication Division Addition Subtraction

12X350=4,200

4,200+2000=6200

Don't forget the pounds sign, because it is money.

7 0
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