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2 years ago

TV=3x - 12 and TU=5x-24. What is the value of x?

Mathematics

1 answer:

klasskru [66]2 years ago

6 0

Answer:

x=6

Step-by-step explanation:

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The outside of a picture frame measures 14 in and 20 in 196in^2 of the picture shows find the thickness of the frame

LuckyWell [14K]

The described picture frame can be visualized into two separate parts. The first area is equal to the area using the outermost dimensions for the length and width.
Area = Length x Height
Area = (20 in) x (14 in)
Area = 280 in²

We are given that the area is only equal to 192 in². We subtract this value from the computed area.
Difference = 280 in² - 192 in²
difference = 88 in²

This area is equal to the area of the hollow space inside the frame. That is equal to,
height = 20 in - 2x
length = 14 in - 2x

The area,
88 = (20 - 2x)(14 - 2x)

Simplify the right hand side of the equation.
88 = 280 - 68x + 4x²

Divide the equation by 4,
22 = 70 - 17x + x²

Transposing,
x² - 17x - 48 = 0
The factors of the equation is 58.2.

Thus, the thickenss is equal to 58.2 in

5 0

3 years ago

I need help i will give the brainliest

arlik [135]

Answer:

the answers are

13) -6

14) 6

15) -5

16) 3

17) 14

18) -4

19) -15

20) 4

21) 5

22) -12

3 0

3 years ago

Are some integers irrational

klemol [59]

What are the options?

4 0

2 years ago

Read 2 more answers

An investor invested a total of $2500 in two mutual funds. One fund earned a 5% profit while the other earned a 3% profit. If th

7nadin3 [17]

Answer:

$500 and $2000

Step-by-step explanation:

Let x represent the total investment = $2500

also, this total is split into two different funds

Lets represent these funds as a and b, such that fund a yields a profit of 3% and fund b yield a profit of 5%

So,

a + b = x

a + b = 2500 ......eq 1

Profit from each fund gives;

0.03 a + 0.05b = 115 ....eq 2

Solve simultaneously using substitution method

From eq 1;

b = 2500 - a

Slot in this value in eq 2

0.03a + 0.05 (2500 - a) = 115

expand

0.03a + 125 - 0.05a = 115

collect like terms

0.03a - 0.05a = 115 - 125

-0.02a = -10

Divide both sides by -0.02

a = $500

Put this value of a in eq 1

500 + b = 2500

Subtract 500 from both sides

b = 2500 - 500

b = $2000

3 0

3 years ago

A bag contains 6 red marbles, 2 white marbles, and 1 gray marble.You randomly pick out a marble,record its color,and put it back

Dominik [7]

You should expect 5. There is one grey marble out of 9 total, and that can be expressed as 1/9. Since you repeat it 45 times, it's 1/9 45 times, or 1/9(45).

$\frac{1}{9} * \frac{45}{1}$

1*45 is 45

9*1 is 9.

45/9 is 5.


Be sure to choose which answer is Brainliest!

8 0

3 years ago