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GenaCL600 [577]
2 years ago
5

Jack works after school.. Each day he us paid a set amount, plus and hourly wage.

Mathematics
1 answer:
Tasya [4]2 years ago
6 0

Answer: Jack's payment is $53 (per day of work)

Step-by-step explanation:

The equation that describes how much Jack is paid is:

f(x) = $8 + $10*x

Where x is the number of hours that he works.

If he works from 2:30pm to 7:00 pm, then the number of hours that he worked is equal to the difference between these times, but first let's convert them into only hours:

2:30 = 2 hours and 30 minutes

remember that one hour has 60 minutes.

Then 30 minutes = 0.5 hours

2:30 = 2.5 hours.

7:00 = 7 hours.

Then the number of hours that Jack worked is:

7h - 2.5h = 4.5h

Then just replace x by 4.5 in the equation f(x):

f(4.5) = $10*4.5 + $8 = $53

Jack's payment is $53 (per day of work).

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It can be factored.

We need two numbers that multiply to -12 and add to -4, so are two terms would be -6 and 2.

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The distance d of a particle moving in a straight line is given by d(t) = 2t3 + 5t – 2, where t is given in seconds and d is mea
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Step-by-step explanation:

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v(t)=\dfrac{d(t)}{t}=2t^2+5-\dfrac{2}{t}

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3 years ago
What are the odds that a given month of the year begins with the letter J
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How do you solve this step by step?
Sphinxa [80]

Answer:

x = 41

Step-by-step explanation:

To solve this problem, we want to find the value of 'x' by isolating it (separating 'x' from all other numbers).

First, simplify the expression by using the <u>distributive property</u>, where you multiply the number outside the brackets with each term inside the brackets.

Then isolate 'x' by doing reverse operations (on both sides) for every number that is on the same side as 'x'. Reverse operations are opposites (addition and subtraction, multiplication and division) and "cancel out" a number, which "moves" it to the other side.

7(x - 5) = 252        Use the distributive property

7x - 35 = 252        Result of 7 times x and 7 times -5

7x - 35 + 35 = 252 + 35        Add 35 to both sides

7x = 252 + 35        -35+35 on the left side cancelled out. Simplify right side

7x = 287        Continue to isolate 'x'

7x/7 = 287/7        Divide both sides by 7

x = 287/7        Left side cancelled out to be 'x'. Simplify the right side

x = 41        Answer

Check your answer:

Substitute 'x' for 41 in the original equation. Then, make sure that the equation is still balanced. Keep in mind BEDMAS order (brackets, exponents, division, multiplication, addition, subtraction).

7(x - 5) = 252

7(41 - 5) = 252        Simplify inside the brackets first

7(36) = 252        Multiply

252 = 252        Same answer

LS = RS

Since left side (LS) equals (=) right side (RS), the equation is still balanced and we got the correct value for 'x'.

6 0
3 years ago
Jacqueline earned a commission of $200 for one week at work. her commission rate is 12% of the merchandise she sells. how much m
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For this case, the first thing we must do is define variables.

We have then:

m: original quantity of merchandise sold (in $)

We then have the following idea:

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The equation that solves the problem is:

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The amount she sold is:

m = 1666.7

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2 years ago
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