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enot [183]
2 years ago
12

Which expression is equivalent to 6x - 24?

Mathematics
2 answers:
hodyreva [135]2 years ago
6 0
The correct answer is C. 6(x-4)
defon2 years ago
3 0

Answer:

C

Step-by-step explanation:

If you factorise 6x-24 you will get 6(x-4) as 6 times x equals 6x and 6 times -4 equals -24.

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√₂
snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

  • I = interest earned.
  • P = principal invested.
  • r = interest rate (in decimal form).
  • t = time (in years).

Given:

  • Total P = $7000
  • P₁ = principal invested at 5%
  • P₂ = principal invested at 8%
  • Total interest = $500
  • r₁ = 5% = 0.05
  • r₂ = 8% = 0.08
  • t = 1 year

Create two equations from the given information:

\textsf{Equation 1}: \quad \sf P_1+P_2=7000

\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500

Rewrite Equation 1 to make P₁ the subject:

\implies \sf P_1=7000-P_2

Substitute this into Equation 2 and solve for P₂:

\implies \sf 0.05(7000-P_2)+0.08P_2=500

\implies \sf 350-0.05P_2+0.08P_2=500

\implies \sf 0.03P_2=150

\implies \sf P_2=\dfrac{150}{0.03}

\implies \sf P_2=5000

Substitute the found value of P₂ into Equation 1 and solve for P₁:

\implies \sf P_1+5000=7000

\implies \sf P_1=7000-5000

\implies \sf P_1 = 2000

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0
1 year ago
The length and width of a rectangle are 7 cm and (x-8) cm respectively. Find the value of x if the area with of the rectangle is
Tcecarenko [31]

to find the area of a rectangle is LxW=A

plug in the given numbers you have

L = 7

W = x-8

A = 42

7 * x-8 = 42

7x-56= 42

solve for X

3 0
3 years ago
A bag contains 3 red, 6 blue, 5 purple, and 2 orange marbles. One marble is selected at
Deffense [45]

Answer:

60 percent i hope this helped.

Step-by-step explanation:

each have a a possibility of 10 and there's 6 of of 10 compared to 3 out of 10.

5 0
3 years ago
Read 2 more answers
Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the
serg [7]
<span>the answer was 8(1.25)^x </span>
4 0
3 years ago
Read 2 more answers
Right answer gets brainlist
elena55 [62]

Answer:

546

Step-by-step explanation:

Surface Area = 2(lw + lh + wh)

plug in 21 10.5 and 2.5

4 0
3 years ago
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