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Korolek [52]
3 years ago
10

Rob is a high school student taking both algebra and geometry. Last night he had 27 homework problems combined from the two clas

ses, and he took a total of 90 minutes to do them. If each algebra problem took him 2 minutes and each geometry problem took him 5 minutes, how many algebra problems did he have for homework?
2
5
12
15
Mathematics
2 answers:
azamat3 years ago
8 0

Answer:

  15

Step-by-step explanation:

Let x represent the number of algebra problems. Then the number of geometry problems was 27-x and the total working time was ...

  2x +5(27 -x) = 90

  -3x = 90 -135 . . . . subtract 135

  x = -45/-3 = 15 . . . divide by -3

Rob had 15 algebra problems for homework.

In-s [12.5K]3 years ago
3 0

Answer:

15 problems

Step-by-step explanation:

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alukav5142 [94]

f-354=1221           <em>add 354 to both sides</em>

f+354-354=1221+354\\\\\boxed{f=1,575}\to\boxed{D.}

6 0
3 years ago
What is the simplified form of √ 144x36?
yKpoI14uk [10]

Answer:

12x^18

Step-by-step explanation:

5 0
2 years ago
Quadrilateral ABCD ​ is inscribed in a circle.
Lerok [7]
In general, the sum of the measures of the interior angles of a quadrilateral is 360. This is true for every quadrilateral. This does not help here, because there are two angles (angles B and D) we know nothing about. We only know about opposite angles A and C.

In this case, you can use another theorem.
Opposite angles of an inscribed quadrilateral are supplementary.

m<A + m<C = 180

3x + 6 + x + 2 = 180

4x + 8 = 180

4x = 172

x = 43

m<A = 3x + 6 = 3(43) + 6 = 135

Answer: 135 deg
6 0
3 years ago
What is 12 dollars an hour
Reptile [31]

Answer:

I think you are missing something from the question, but if you were to find out how much you would get paid for a certain amount of hours from $12 per hour, then the formula would be:

Step-by-step explanation:

Let h = no. of hours worked

$12 * h

8 0
2 years ago
Rick buys 3 CDs and 5 video games. The cost of one video game is $12.00 more than the cost of one CD. If Rick spends $164.00, wh
Dmitry [639]

Step-by-step explanation:

x = price per video game

y = price per CD

164 = 5x + 3y

and then we know

x = y + 12

now we can use this as substitute in the first equation :

164 = 5(y + 12) + 3y = 5y + 60 + 3y = 8y + 60

104 = 8y

y = $13

x = y + 12 = 13 + 12 = $25

so, each CD costs $13.

4 0
3 years ago
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