All categories

4 years ago

RS = 4x – 9, ST = 19, RT = 80 – 14 Equation: 82 – 14 RS RT

Mathematics

1 answer:

algol134 years ago

4 0

Step-by-step explanation:

The expressions are not properly written

Given

RS = 4x – 9

ST = 19

RT = 8x – 14

Based on the given parameters, the addition postulate below is true

RS+ST = RT

Substitute

4x-9+19 = 8x-14

collect like terms

4x-8x = -14-19+9

-4x = -33+9

-4x = -24

x = -24/-4

x = 6

Get RS:

RS = 4x-9

RS = 4(6)- 9

RS = 24-9

RS = 15

Get RT:

RT = 8x - 14

RT = 8(6)-14

RT = 48-14

RT = 34

You might be interested in

Andy borrows $3890 over 4 years. What was the rate per annum of the loan if he paid back $5908?

lesya [120]

Answer:

The formula to get the rate R would be:

principal x (1+R)^time = (principle + interest)

=> 3890 x (1 + R)^4 = 5908

=> (1 + R)^4 = 5908/3890

=> (1 + R)^4 = 1.5188

=> 1 + R = 1.11

=> R = 1.11 - 1 = 0.11 = 11%

Hope this helps!

5 0

3 years ago

What is the answer please 3(1 + h) =

sergiy2304 [10]

Answer:

3h + 3

Step-by-step explanation:

Distribute 3 to all terms within the parenthesis, and multiply:

3(1 + h) =

3(1) = 3

3(h) = 3h

3h + 3 is your answer.

6 0

4 years ago

Read 2 more answers

A new car is purchased for 17600 dollars. The value of the car depreciates at 11.75% per year. What will the value of the car be

Umnica [9.8K]

Answer:

Step-by-step explanation:

For compound interest, we use the formula A = P(1 + r/n)^{nt}, where A is the amount, P is the principle, r is the rate, n is the number of times compounded per period of time, and t is the time.

We can alter this for a decrease. Instead of adding r/n to 1, we can substract it:

A = 17,600 * (1 - 0.01175 / 1)^{1 * 11} = 15,454.24

After 11 years, the car will be worth $15,454.24

5 0

3 years ago

Choose the correct simplification of the expression a to the 7th power times b to the 8th power all over a to the 4th power time

defon

First you need to write the numerical equation for the given:

$\frac{ a^{7} b^{8} }{ a^{4} b^{4} }$

When you will simplify this fraction, you can divide the expressions. Based on the law of exponents when you divide like terms with different exponents, you can subtract the exponents of the denominator from the numerator.

So if you will simplify the equation:

$\frac{ a^{7} b^{8} }{ a^{4} b^{4} }$

Subtract the following:

Exponents of a 7-4 and;
Exponents of b 8-4

Your answer should be
$a^{3} b^{4}$

3 0

4 years ago

Pierre lives in a tall apartment building. He looks out his window and spots a car on the road that runs straight toward his bui

zhannawk [14.2K]

Answer:

it is coming 292.19 feet so approx 293.3 feet is the correct option

Step-by-step explanation:

7 0

3 years ago