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Harrizon [31]
3 years ago
8

Micheal earns $87 for 15 hours of part time work. How long must he work to earn $135

Mathematics
1 answer:
tatiyna3 years ago
3 0

Answer:

23.28 hours

Step-by-step explanation:

He earns 5.8 per hour of part-time work. You can find this by doing 87/15
Because we now know that he earns 5.8 per hour we can just do 135/5.8 (23.28) < this is rounding to the nearest hundreth

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What is the circumference of a circle with an area of 153.86 cm²?<br><br> Use 3.14 for pi.
Vera_Pavlovna [14]
Circumference of circle = 43.96 are = πr'2
4 0
4 years ago
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Kiyo bought a pizza for $12.75 and four medium drinks at Paola’s pizza. Define a variable and write an expression to represent t
Travka [436]
Y = total amount of money spent
x = cost of one drink

So our expression is:
4x + 12.75

4x stands for 4 drinks times x price of one drink
The 12.75 is a one time fee for the pizza, since Kiyo isn't buying multiple pizzas.

The problem also asks us to find the total price, so we write an equation:

y = 4x + 12.75
We insert what x is which in this case is $3
y = 4(3) + 12.75
Order of Operations tells us to multiply first:
y = 12 + 12.75
Now add your values:
y = 24.75
Therefore, Kiyo spent a total amount of 24.75 at Paola's pizza.

Let's check our problem just in case:

24.75 = 4x + 12.75
Since we now know what y is equal to, we can plug that into our original equation and check just to verify

We should subtract 12. on both sides of the equation because of inverse operations:

24.75 - 12.75  = 12.75 - 12.75 + 4x
We are left with:

12 = 4x
We divide:
\frac{12}{4}  =  \frac{4x}{4}
Our result is:
3 = x
Which checks out because each drink was in fact, $3 dollars as stated in the word problem. Hope that was thorough enough.


4 0
3 years ago
Rewrite each fraction in simplest form using the GCF of the numerator and denominator.
Elanso [62]

Answer:

\sf 6. \quad \dfrac{7}{10}

\sf 7. \quad \dfrac{5}{17}

Step-by-step explanation:

<h3><u>Question 6</u></h3>

To find the greatest common factor (GCF), first list the prime factors of each number:

  • 42 = 2 × 3 × 7
  • 60 = 2 × 2 × 3 × 5

42 and 60 share one 2 and one 3 in common.

Multiply them together to get the GCF:  2 × 3 = 6.

Therefore, 6 is the GCF of 42 and 60.

Divide the numerator and the denominator by the found GCF:

\implies \sf \dfrac{42 \div 6}{60 \div 6}=\dfrac{7}{10}

<h3><u>Question 7</u></h3>

To find the greatest common factor (GCF), first list the prime factors of each number:

  • 80 = 2 × 2 × 2 × 2 × 5
  • 272 = 2 × 2 × 2 × 2 × 17

80 and 272 share four 2s in common.

Multiply them together to get the GCF:  2 × 2 × 2 × 2 = 16.

Therefore, 16 is the GCF of 80 and 272.

Divide the numerator and the denominator by the found GCF:

\implies \sf \dfrac{80 \div 16}{272 \div 16}=\dfrac{5}{17}

5 0
2 years ago
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Kitty [74]

Answer:

17.75

Step-by-step explanation:

Unit price means the price of a single unit so we have to divide 88.75 by 5

88.75 ÷ 5 = 17.75

3 0
3 years ago
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Which expressions are equivalent to the expression 7(5 + m) – 8? Check all that apply.
IRINA_888 [86]

Answer:

there are no expressions in the question, so I can't help you. Can you post the expressions?

5 0
3 years ago
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