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Zina [86]
2 years ago
5

The cone in the figure below has a volume of 722 cubic centimeters and a height of 6

Mathematics
1 answer:
azamat2 years ago
4 0

Answer:

r = 10.72 cm

Step-by-step explanation:

h = 6 cm

Volume of cone = 722 cubic cm

\frac{1}{3}\pi r^{2}h=722\\\\\frac{1}{3}*3.14*r^{2}*6=722\\\\r^{2}=\frac{722*3}{3.14*6}\\\\r^{2}=114.97\\\\r = \sqrt{114.97}\\\\r = 10.72

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Krystal and Mary are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tange
irina1246 [14]

Using a system of equations, it is found that a small box of tangerines costs $10 and a large box costs $14.

<h3>What is a system of equations?</h3>
  • A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the <em>variables </em>are:

  • Variable x: Cost of a small box.
  • Variable y: Cost of a large box.

Krystal sold 7 small boxes of tangerines and 14 large boxes of tangerines for a total of $266, hence:

7x + 14y = 266

Simplifying by 7:

x + 2y = 38

x = 38 - 2y

Mary sold 14 small boxes of tangerines and 3 large boxes of tangerines for a total of $182, hence:

14x + 3y = 182

Since x = 38 - 2y:

14(38 - 2y) + 3y = 182

25y = 350

y = \frac{350}{25}

y = 14

Then

x = 38 - 2y = 38 - 2(14) = 10

A small box of tangerines costs $10 and a large box costs $14.

To learn more about system of equations, you can take a look at brainly.com/question/24342899

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2 years ago
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4a - 7 &lt; 2a + 1 (solve it)
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3 0
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One number is 13 more than another number. If the sum of the two numbers is 15, find the two numbers
Snowcat [4.5K]
X - the first numberx + 13 - the second number
The equation:
x + x + 13 = 152x + 13 = 15    |-132x = 2    |:2x = 1
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6 0
3 years ago
What is the solution of 5 = t/2 -3?
Sladkaya [172]

Answer:

t=16

Step-by-step explanation:

you have to change the numbers to get just the variable.

we start from -3.

5=t/2-3

8=t/2

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8×2=16

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5 0
3 years ago
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