Simplify the fraction 4t2-16/8/t-2/6

Answers

Answer 1

Answer: The first thing we are going to do in this case is to rewrite the expression:
4 (t2-4) / 8 / t-2/6
4 (t-2) (t + 2) / 8 / t-2/6
We now use the double C:
24 (t-2) (t + 2) / 8 * (t-2)
We simplify similar terms:
24 (t + 2) / 8
3 (t + 2)
Answer:
The simplified expression is:
3 (t + 2)

Related Questions

4Roberta wants to create 32 ounces of new hand lotion, with a minimum 15% concentration of beeswax, from a mixture oftwo lotions. One lotion has a 21% concentration of beeswax, and the second lotion has a concentration of 5% beeswax. Based onthe inequality below, how much of the 21% lotion, x, will she need?0.21x + 0.05(32 - x) > 4.8A x 20ОВ.x > 28C. x 16OD. x > 21.33ResetSubmit
How do you factor 6x^2+14x+4
PLEASE HELP.!! ILL GIVE BRAINLIEST *EXTRA POINTS* DONT SKIP.!! :((
Please help asap! question attached in file below
Josie went to the local hairstylist to get her hair cut. It cost $34 for the haircut. Josie tipped the hairdresser 20%. What was the total amount Josie paid? Round to nearest cent.

A puppy will grow 28 in it is currently 1 foot tall

Answers

♥ If he will grow to 28inches and he is currently 1ft tall, then he needs to grow 16 more inches to get his full height.
♥ I did this by solving what was in 1ft (12 inch) so 28-12=16.
♥ Therefore he needs to grow 16 more inches.
♥Hope this helps♥

so 1+28in so 3ft4in would be correct idk just using the metric system

If 2x = 5, 3y = 4, and 4z = 3, what is the value of 24xyz ?

Answers

We have : 2x = 5 ⇔ x = 5/2
3y = 4 ⇔ y = 4/3
4z = 3 ⇔ z = 3/4
⇒ 24xyz = 24 × 5/2 × 4/3 ×3/4 = 60

Write an equation of a line parellel to -6x-2y=12 through (3,1)

Answers

Hello,

-6x-2y=12==>y=-3x-6 slope=-3

y-1=-3(x-3)==>y=-3x+10

A number greater than 18.55 and less than 18.6

Answers

A number greater than 18.55 and less than 18.6 is 18.56. Other answers include: 18.57, 18.58, and 18.59.

A number greater than 18.55 and less than 18.6 could be 18.57

Ashley invests $9,720 in a one-month money market account paying 3.16% simple annual interest and $8,140 in a two-year CD yielding 3.23% simple annual interest. Assuming Ashley does not reinvest or renew these investments, how much money will she have when both investments reach maturity, to the nearest dollar?a.
$550
b.
$1,080
c.
$17,310
d.
$18,411

Answers

Answer:

Total Amount ≈ $18,411.59

Step-by-step explanation:

In order to determine the total amount that Ashley will possess when both investments reach maturity, one may utilize the formula for simple interest:

Simple Interest (I) = P * r * t

Where:

I = Interest earned

P = Principal amount (initial investment)

r = Annual interest rate (expressed as a decimal)

t = Time (in years)

The interest for each investment may be calculated as follows:

For the one-month money market account:

P1 = $9,720

r1 = 3.16% or 0.0316 (as a decimal)

t1 = 1/12 year (one month is 1/12 of a year)

I1 = 9,720 * 0.0316 * (1/12) = $25.63 (rounded to the nearest cent)

For the two-year CD:

P2 = $8,140

r2 = 3.23% or 0.0323 (as a decimal)

t2 = 2 years

I2 = 8,140 * 0.0323 * 2 = $524.96

The total amount that Ashley will possess when both investments reach maturity may now be calculated as follows:

Total Amount = P1 + I1 + P2 + I2

Total Amount = $9,720 + $25.63 + $8,140 + $524.96

Total Amount ≈ $18,411.59

Rounded to the nearest dollar, Ashley will possess approximately $18,412 when both investments reach maturity.

Hickory Cell Phones offers a plan that charges a monthly flat fee of $40 plus $0.10 per text message. Catawba Phone Company does not have a monthly fee but charges $0.25 per text message. What is the least number of text messages that can be sent in order for Hickory Cell Phone company to have the better buy and how much money do you save? Show your work and explain your answer.