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wolverine [178]
4 years ago
15

what is the algebraic expression for the following word phrase the quotient of 8 and the sum of 3 and m

Mathematics
1 answer:
Scilla [17]4 years ago
4 0

"÷" quotient

"+" sum

8 ÷ (3 + m) = 8/(3 + m)

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a foot of a ladder is placed 1.5m from the wall the laddermakes a 70 degrees angle with the ground,find the length of the ladder
alex41 [277]
Cos70=1.5/X , where X is the length of the ladder
5 0
3 years ago
How do I factor the following equation in the link? It has been factored, but I need to know the steps.
Vlad [161]

Given

2x^2-x-3=0

How to factor

Solution

Step 1

Multiply the first and last costant

-3\times2x^2=-6x^2

Step 2

Write out all the pair factors of -6x^2

\begin{gathered} -6x^2=-6x\text{ and x} \\ -6x^2=-x\text{ and 6x} \\ -6x^2=\text{ -3x and 2x} \\ -6x^2=\text{ -2x and 3x} \end{gathered}

Step 3

Check for the pair, such that when you add you will get -x

\begin{gathered} it\text{ is } \\ -3x+2x=-x \\ \therefore-3x,\text{ 2x} \end{gathered}

Step 4

Replace -x with -3x+2x in the equation

2x^2-3x+2x-3=0

Step 5

Put them into brackets Since + is at the center no stress.

(2x^2-3x)+(2x-3)=0

Step 6

Factor out what is common in the bracket

x(2x^{}-3)+1(2x-3)=0

Step 7

What is in the bracket are the same, pick one

\therefore(2x-3)(x+1)=0_{}

7 0
1 year ago
Steve opens a bank account with a simple annual interest rate of 5%. After four years, how much interest will Steve earn on an i
Marysya12 [62]

Steve will earn $160 interest after four years ⇒ 1st answer

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

  • P is the initial deposit
  • r is the annual rate in decimal
  • t is the time of investment

∵ Steve opens a bank account with a simple annual interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ His initial deposit is $800

∵ He will put the money for four years

∴ t = 4

- Substitute all these values in the formula above

∵ I = 800(0.05)(4)

∴ I = 160

Steve will earn $160 interest after four years

Learn more:

You can learn more about the interest in brainly.com/question/13018049

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
What is the quotient of 1 and 7 over 8 ÷ 3 over 8 ?
lakkis [162]

Answer:

⅐ ÷ 8 ÷ 3 / 8 = ³/₇

3 0
3 years ago
Round 2.449 to the nearest hundredth
gregori [183]
The answer will be 2.45, when rounded to the nearest hundredth.
5 0
4 years ago
Read 2 more answers
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