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AlexFokin [52]
3 years ago
15

Hayden has 6 rolls of dimes. There are 50 dimes in each roll. How many dimes does he have altogether

Mathematics
1 answer:
Olegator [25]3 years ago
8 0

he has 300 dimes in total

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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
TRANSLATIONS ON THE COORDINATE PLANE
klio [65]

Answer:

idk

Step-by-step explanation:

idk

8 0
3 years ago
Can I pls get help as soon as possible?..Its for my math homework
lawyer [7]

Answer:

Oh yeah I don’t know not one bit since this picture is stupidly low

Step-by-step explanation:

Get. A better camera

7 0
3 years ago
Read 2 more answers
What is the value of x in the equation <br><br> 2x=368-4
Dennis_Churaev [7]

Answer: x= 182

Step-by-step explanation:368-4= 364.

Then divide 364 by 2

Answer will be 182

8 0
3 years ago
If Lisa’s gross pay was $1204.89 and her net pay was $818.44, about what percent of her pay was deducted?
Amanda [17]

Answer:

About 32% of her pay was deducted ⇒ 2nd answer

Step-by-step explanation:

Lisa’s gross pay was $1204.89

Her net pay was $818.44

We need to find the percentage of the amount deducted from her pay

<u><em>Lets calculate the deduction amount</em></u>

The deduction amount is the difference between the gross pay and

the net pay

∵ The amount deducted = gross pay - net pay

∵ Gross pay = $1204.89

∵ Net pay = $818.44

∴ The amount deducted = 1204.89 - 818.44 = $386.45

<u><em>Now lets find the percentage of the amount deducted </em></u>

∵ Percent of deducted = [amount deducted/gross pay] × 100%

∵ The amount deducted = $386.45

∵ Gross pay = 1204.89

∴ Percent of deducted = \frac{386.45}{1204.89} × 100%

∴ Percent of deducted = 32.07%

<em>About 32% of her pay was deducted</em>

8 0
3 years ago
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