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cestrela7 [59]
2 years ago
6

A karate studio charges $35 for the first course and $22. 50 for each course after that, even if the student leaves the course e

arly. Cena paid $170 for her son to take courses. How many courses did he take? 6 courses 7 courses 8 courses 10 courses.
Mathematics
1 answer:
VashaNatasha [74]2 years ago
3 0

The Cena can take 7 courses

We have given that the karate charges $35 for the first course and $22.50 for each course after that. Our total is $170.

<h3>What is the condition we can write here?</h3>

22.50x + 35 = 170

for solving this linear equation

First, subtract 35 from both sides.

22.50x = 135

isolate x so divide both sides by 22.50.

x=\frac{135}{22.50}

Therefore we get x = 6

Remember to add the additional class, so x is actually 7.

So,the Cena can take 7 courses.

To learn more about the linear equation visit:

brainly.com/question/1549055

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when camping alone , mr adam uses all of the water in 12 days, then when mrs adams and mr adams camp together they use all of th
professor190 [17]

Using the together rate, it is found that if Mrs Adams camps alone, she will use all the water in 24 hours.

<h3>What is the together rate?</h3>

The together rate is the sum of each separate rate.

In this problem, the rates are:

  • Together: 1/8.
  • Mr Adam: 1/12.
  • Mrs Adams: 1/x.

Hence:

\frac{1}{12} + \frac{1}{x} = \frac{1}{8}

\frac{x + 12}{12x} = \frac{1}{8}

12x = 8x + 96

4x = 96

x = \frac{96}{4}

x = 24

If Mrs Adams camps alone, she will use all the water in 24 hours.

More can be learned about the together rate at brainly.com/question/25159431

6 0
3 years ago
(04.02 MC)<br> Solve the system of equations.<br> 5x + y = 9<br> 3x + 2y = 4
goblinko [34]

Answer:

(2,-1)

Step-by-step explanation:

Multiply first equation by 2:

10x + 2y = 18

Subtract the second equation from this so that the 2y terms cancel:

10x - 3x = 18 - 4

7x = 14

x = 2

Plug into first equation to find y:

5(2) + y = 9

10 + y = 9

y = -1

The answer is (2,-1)

7 0
3 years ago
Read 2 more answers
Complete the sentences below the radius of a circle is _____ the length of its diameter. the diameter of a circle is ______ the
son4ous [18]

Answer:

Half;  twice

Step-by-step explanation:

In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".

Thus,

2r = d

r = d/2

For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

5 0
3 years ago
Combine like terms to create an equivalent expression.
Lelu [443]

Answer:

\frac{1}{6} p - \frac{4}{5}

Step-by-step explanation:

collect like terms

- \frac{2}{3} p + \frac{5}{6} p + \frac{1}{5} - 1

= - \frac{2(2)}{2(3)} p + \frac{5}{6} p + \frac{1}{5} - \frac{5}{5}

= - \frac{4}{6} p + \frac{5}{6} p - \frac{4}{5}

= \frac{1}{6} p - \frac{4}{5}

5 0
2 years ago
Simplify the expression.<br> 2u + 8u - 5u
MAXImum [283]

Answer:

= 5u

Step-by-step explanation:

You combine like terms

( 2u+ 8u = 10u )

( -5u + 10 u =5u)

3 0
3 years ago
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