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3 years ago

A package of 6 insulated socks cost 49.74 what is the unit price of the pairs of socks

Mathematics

1 answer:

MaRussiya [10]3 years ago

4 0

Answer:

8.29

Step-by-step explanation:

49.74 divided by 6 = 8.29

To check: 8.29 x 6 = 49.74

Hope this helped. Feel free to ask questions!

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Solve for x. Show your work or explain your answer.

Alja [10]

X=2
x=15
4x+1=9
-1 -1
4x=8
4/4x=8/4=2

x/5-1=2
+1 +1
x/5=3
(5) (5)
x=15

8 0

3 years ago

Shawna lives in an apartment 9 4/5 miles from the hospital where she works. Her brother rents a room in a house 7 2/5 miles from

tamaranim1 [39]

Answer:

2 2/5 miles

Step-by-step explanation:

6 0

2 years ago

When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

6 0

3 years ago

A savings account earns 6% simple interest per year. The principal is $800. What is the balance after 18 months?

Ilia_Sergeevich [38]

Answer:

$872

Step-by-step explanation:

Simple interest = Principle * Rate * Time / 100

= ( 800 * 6 * 18/12 ) / 100

= $ 72

The balance after 18 months = principle + interest

= 800 + 72

= $ 872

8 0

2 years ago

Solve the system by elimination<br> 2x – y=1<br> x + 3y – 4= 0

ohaa [14]

Did it step by step , hope it helps !

8 0

3 years ago