What is the quotient of this division problem?<br> 836 = 246 = ?

B. For the given figure, find the unknown angles

olchik [2.2K]

Answer: (you can solve it using vertical angles, supplementary angles, and same side interior angles)

3 0

2 years ago

you can transform 4x + 12 = 9x - 3 again into a simpler form by subtracting 4x form both sides to get 12 = 5x - 3, if you subsit

nikdorinn [45]

Answer: Yes you will still get a true statement because 3 is the solution to the equation.

Step-by-step explanation:

Well substitute 3 for x into the equation and solve for to see if they equal each other.

12 = 5(3) - 3

12 = 15 - 3

12 = 12

So if you substitute 3 you get the solution .

Now solve for x in the real equation to see if you get 3.

4x + 12 = 9x -3

-4x -4x

12 = 5x -3

+3 +3

15 = 5x

x = 3

7 0

3 years ago

The price of a TV after a 20% discount is $620, what was the price before the discount?

makvit [3.9K]

Answer:

The original prince is: $775

Step-by-step explanation:

As the discount is 20%.

As we know that

100% - 20% = 80% = 80/100 = 0.8

The price after 20% discount = Discounted price = $620

We have to find the original price before the discount.

using the formula

(Discounted price) = (100 percent - discount percent) x (original price)

$620 = (100% - 20%) x (original price)

$620 = (80%) x (original price)

$620 = (80/100) x (original price)

$620 = (0.8) x (original price)

so

original price = $620/0.8

= $775

Therefore, the original prince is: $775

7 0

3 years ago

The annual interest on a $15,000 $ ⁢ 15,000 investment exceeds the interest earned on an $8000 $ ⁢ 8000 investment by $685 $ ⁢ 6

Eduardwww [97]

Answer:

The interest rate on the $ 8, 000 investment is 9. 657 % = 9.66%

While the interest rate on the $ 15, 000 investment is 10.257% = 10.26%

Step-by-step explanation:

Generally, the formular for calculating simple interest, I is given by

I = (principal x rate x time) / 100

Let the the annual interest on the $8,000 investment be represented as I. While the rate is represented as R

Since the time is 1year, interest on the $8, 000 can be expressed as

I = ( 8000 x R × 1) ÷ 100

I = 8000R/100

I = 80R. ( eqn 1)

Also, let the annual interest on $15,000 investment be K and the rate be V

Since interest on $15, 000 is greater than that of the $8,000 by $685

K = I + 685

Also rate V is 0.6% higher than R

V = (R + 0.6)%

This the interest on the $15, 000 is expressed as

K = ( 15000 × V × 1) ÷ 100 (eqn 2)

Substitute for K and V in eqn 2

That is

I + 685 = ( 15000 x (R + 0.6) x 1) ÷ 100

I + 685 = 15000 (R + 0.6) ÷ 100

I + 685 = 150 (R + 0.6)

Open the bracket

I + 685 = 150R + 15 × 0.6

I + 685 = 150R + 9.

This is the same as

150R + 9 = I + 685. ( eqn 3)

Substitute eqn 1 into eqn 3

That is put

I = 80R in eqn 3

150R + 9 = 80R + 685

Collect like terms with R to one side

150R - 80 R = 685 - 9

70R = 676

R = 676 ÷ 70

R = 9.657 %

Recall that V = (R + 0.6)%

V = 10.257 %

Thus the interest rate on the $ 8, 000 investment is 9. 657 % = 9.66%

While the interest rate on the $ 15, 000 investment is 10.257% = 10.26%

8 0

3 years ago

Absolute value equation question, pls explain if u don't I will literally die

ladessa [460]

Answer:

-10

Step-by-step explanation:

I dont want you to "Literally die" so heres the explaination:

The absolute value mean always a positive number. So if a number is positive and it has the absolute value symbol next to it then it is positive. If the number is negative than it become positive. With that say, we can began to solve our linear equation.

We shoudl first isolate the variable so let's subtract the number 8 from BOTH SIDES. So now we should have -24=-12(k/5)

Now we will use the disributive property. this will give us:

-24=(-12k/5)

BUT WAIT!! THE ABSOLUTE VALUE RULE MUST BE APPLIED!!

Therefore it should be -24=12k/5

Now we can just solve this regularly:

Keep reading if you don't know how to solves linear equations.

Multiply 5 to both sides:

-120=12k

k=-10

6 0

3 years ago

What is the quotient of this division problem? 836 = 246 = ?