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3 years ago

How do you show your work on this question -x/3+2=-5

Mathematics

1 answer:

Ilya [14]3 years ago

4 0

Hello!

$\large\boxed{x = 21}$

$\frac{-x}{3} + 2 = -5$

Begin isolating for x by subtracting 2 from both sides:

$\frac{-x}{3} + 2 - 2 = -5 - 2\\\\\frac{-x}{3} = -7$

Further simplify by multiplying both sides by 3:

$\frac{-x}{3} * 3= -7 * 3\\\\-x= -21$

Multiply both sides by -1 to cancel out the -x:

$-x(-1) = -21(-1)\\\\x = 21$

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What is the original price of an item cost if the tax is 9.25% and the discount is 25% and the new price after discount and tax

e-lub [12.9K]

Answer: $ 91.50.

Step-by-step explanation:

Let x be the original price.

Since discount is applied before tax.

New price = (Original price - Discount)-Tax rate (Original price - Discount)

, where Discount = Discount rate x Original price.

Substituting values, we get

$62.28=(x-0.25x)-0.0925(x-0.25x)$

$62.28=(0.75x)-0.0925(0.75x)$

$62.28=0.75x-0.069375x$

$62.28=0.680625x$

$x=\frac{62.28}{0.680625}$

$x=91.50$

Hence, the original price was $ 91.50.

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3 years ago

Which of the binomials below is a factor of this trinomial?

s2008m [1.1K]

Answer:

A. 3x+5

Step-by-step explanation:

To factor this equation, i will factor by grouping

(15x²-12x) + (25x - 20)

Then ill factor a 3x from (15x²-12x)

3x(5x-4x)

and factor a 5 from (25x - 20)

5(5x - 4)

So the equation can be written as:

3x(5x-4x) + 5(5x - 4)

if we factor a 5x-4 from both terms, the equation is

(5x-4)(3x+5)

So 3x + 5 is your answer.

3 0

4 years ago

Read 2 more answers

I have no idea!! Please help!!!

Ber [7]

The area of a traingle is $\frac{1}{2}bh$
So we need to know the base and the height
To work out the sides of a right angle triangle we can use a²+b²=c
c is the hypotenuse and a and b are the other sides
Because this triangle is isoceles we know that a and b are the same

a²+b²=c²
a²+a²=c²
2a²=c²
2a²=(x√6)²
2a²=(x√6)(x√6)
2a²=x²+x√6+x√6+6
2a²=x²+x√6+x√6+6
a²= $\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{2}$
a= $\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}$

A= $\frac{1}{2}bh$
A= $\frac{1}{2}a*a$
A= $\frac{1}{2}$ × $\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}$ × $\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}$
A= $\frac{1}{2}$ × $\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{2}$
A= $\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{4}$

8 0

3 years ago

Ellis is thinking of a prime number between 10 and 20. This number has 26 as a multiple. What is this number?

sergeinik [125]

The prime number is 13. No number under 13 can't go into it, and 13 x 2 is 26, so it is 13.

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4 years ago

A. Convert 74.35° to degree, minute and second

elena-14-01-66 [18.8K]

Answer:

74°21'

Step-by-step explanation:

DMS Form:

The given angle is 74.35°

The whole number part is the degree so we don't need to change that. While, the decimal part would be multiplied by 60 to convert it into minutes.

=> 74° + (0.35 × 60)

=> 74° + 21'

Since, the minute form has already been changed into a whole number and it doesn't contain any further decimal part, so we won't change it further to seconds. So, our answer will be

=> 74°21'

5 0

3 years ago