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andriy [413]
4 years ago
8

The amount of a person’s paycheck p varies directly with the number of hours worked t. For 10 hours of work, the paycheck is $57

.50. Write an equation for the relationship between hours of work and pay.
Mathematics
1 answer:
My name is Ann [436]4 years ago
8 0

Step-by-step explanation:

The variation is direct, i.e. more the time of work, more the amount.

For 10 hours, the paycheck is $57.50,

so for 1 hour, the paycheck is $57.50 ÷ 10, or $5.75.

This means that for t hours of work, the value of the paycheck will be $5.75 × t.

So for the equation, assuming that p is the paycheck value (in dollars) and t is the number of hours,

p = 5.75 × t

Please mark Brainliest if this helps!

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The total cost for attending the rodeo carnival can be found using the function f(x) = 2.25x + 18, where x is the number of food
Ksju [112]

Answer:

domain is {4,5,6,7,8}, range is the other numbers in brackets

Step-by-step explanation:

6 0
2 years ago
What is 1 - 1/6 * 3/2 =
kolezko [41]

1-1/6*3/2

multiply the two fractions

1/6*3/2

Cross out 3 and 6, divide by 3.

1/2 * 1/2

multiply the numerators together

1*1=1

multiply the denominators together

2*2=4

1-1/4

pretend that 1 has a denominator which is 1

1/1-1/4

find the common denominator for 1/1 which is 4

multiply by 4 for 1/1

1*4/1*4=4/4

4/4-1/4

Answer:

3/4

4 0
3 years ago
A used book store also started selling used CDs and videos. In the first week, the store sold 40 used CDs and videos, at 4.00 pe
masha68 [24]

Answer:

30 CDs and 10 Videos were sold.

Step-by-step explanation:

Given that a used book store also started selling used CDs and videos. In the first week, the store sold 40 used CDs and videos, at 4.00 per CD and 6.00 per video.

The sales for both CDs and videos totaled to 180.00.

Let CDs be x and Videos be y

Then we have x+y =3040

and 4x+6y = 180

Two simultaneous equations in two variables and can be solved by elimination method

multiply I equation by 4 and subtract from II.

2y = 20

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30 CDs and 10 Videos were sold.

4 0
3 years ago
Add (11x + 2) + (9x - 4).
trasher [3.6K]
11x + 2 = 13x, 9x - 4 = 5x, 5x + 13x = 18x
3 0
3 years ago
Read 2 more answers
25 (a square) - 4 (b square) + 28bc - 49 (c square)
LUCKY_DIMON [66]

Answer:

(5a - [2b - 7c]) and (5a + [2b + 7c])

Step-by-step explanation:

Factor 25a^2 - 4b^2 + 28bc - 49c^2.

Note that - 4b^2 + 28bc - 49c^2 involves the variables b and c, whereas 25a^2 has only one variable.  Thus, try to rewrite - 4b^2 + 28bc - 49c^2 as the square of a binomial:

- 4b^2 + 28bc - 49c^2 = -(4b^2 - 28bc + 49c^2), or

                                        -(2b - 7c)^2.

Thus, the original  25a^2 - 4b^2 + 28bc - 49c^2  looks like:

                               [5a]^2 - [2b - 7c]^2

Recall that a^2 - b^2 is a special product, the product of (a + b) and (a - b).  Applying this pattern to the problem at hand, we conclude:

Thus,   [5a]^2 - [2b - 7c]^2 has the factors (5a - [2b - 7c]) and (5a + [2b + 7c])

8 0
3 years ago
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