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

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 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

Lets calculate the deduction amount

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

Now lets find the percentage of the amount deducted

∵ 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%

About 32% of her pay was deducted

8 0

3 years ago