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Alinara [238K]
2 years ago
13

(3a) You spend $72 on tapes and CDs. Each tape costs $8 and each CD costs $12.

Mathematics
1 answer:
Makovka662 [10]2 years ago
6 0

Answer:

3a. 8t + 12c = 72

3b. t + c = 7

Step-by-step explanation:

number of tapes is t

number of Cds is c

so 8t + 12c = 72

and t + c = 7

so t = 7 - c

replace t = 7 - c in to the first equation

8(7 - c) + 12c = 72

56 - 8c + 12c = 72

4c = 72 - 56 = 16

c = 4

if c = 4, then t = 7 - c = 7 - 4 = 3

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Mr. Pham wrote the equation below on the board. 18 - 7x = -20.5 What is the value of x?
slavikrds [6]
Use the arithmetic operations to get the variable x on one side of the equation and everything else on the opposite side.

If something is being is being done to a variable, we undo that operation by using the inverse of that operation.

For example, if 10 is being added to x, we use the inverse of addition or subtraction.

18 - 7x = -20.5

We variable x is being multiplied by 7 and is subtracting 18. We need to undo all those operations.

18 - 7x = -20.5
-7x = -38.5

Now the variable is only being multiplied by -7. Reverse the operation.

-7x = -38.5
x = 5.5

So, x is equal to 5.5.
7 0
3 years ago
Read 2 more answers
What sign of a null hypothesis must always include?
IrinaVladis [17]

Answer:

Option d - Equality

Step-by-step explanation:

To find : What sign of a null hypothesis must always include?

Solution :

The Null hypothesis is defined as a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt.

The Null hypothesis represent by H_o

H_o always has a symbol with an equal in it.

Therefore, Option d is correct.

Equality sign of a null hypothesis must always include.

5 0
3 years ago
Find tan theta if theta is an angle in standard position and the point with coordinates (4,3) lies on the terminal side of the a
Karolina [17]

Answer: 0.75

Step-by-step explanation:

We can do this by drawing a terminal side in a standard position and then drawing the associated triangle. We then use the Pythagoras theorem to find the missing side the hypotenuse. Then, this will give a Pythagorean Triplet of 3, 4 and 5.

We now have a triangle with the values of:

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3 years ago
Which fraction below is equivalent to 10/12?
Effectus [21]

Answer:

5/6 or 10/12 are the same 0.83

Step-by-step explanation:

6/6-5/6=1/6 left     12/12-10/12=2/12 left

5 0
3 years ago
the ratio of the length of an airplane wing to its width is 6 to1 . if the length of a wing is 12.5 meters ,how wide must it be
erastova [34]

If you set up a proportion, this will make sense.


\frac{6}{1}= \frac{12.5}{x}

Now, Cross Multiply


6x = 12.5

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3 0
3 years ago
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