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Vladimir [108]
3 years ago
7

What are two numbers that add to 24 and divide to 5

Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

6 and 30

Step-by-step explanation:

n + 24

(n + 24) ÷ n = 5

n + 24 = 5n

24 = 4n

6 = n

Check

30 – 6 = 24

30 ÷ 6 = 5

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The value of x for which 3 (x-2) = 2 (x+1)​
netineya [11]

Answer:

x = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

3(x - 2) = 2(x + 1)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                     3x - 6 = 2x + 2
  2. Subtract 2x on both sides:          x - 6 = 2
  3. Add 6 to both sides:                    x = 8

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    3(8 - 2) = 2(8 + 1)
  2. Subtract/Add:                      3(6) = 2(9)
  3. Multiply:                               18 = 18

Here we see that 18 does indeed equal 18.

∴ x = 8 is a solution to the equation.

7 0
3 years ago
A ship goes at the rate of (3m-2) knots per hour. How far can it travel in (4m+9) hours?
Ber [7]

Answer: 12m^2+19m-18

Step-by-step explanation:

Given

Speed of boat v=3m-2\ \text{knots per hour}

\text{time t= }4m+9\ \text{hours}

\Rightarrow \text{Distance =speed}\times \text{time}

\Rightarrow \text{Distance d=}(3m-2)\cdot (4m+9)\\\Rightarrow d=12m^2+19m-18

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3 years ago
Read each of the statements that describe possible decompositions of the polygon in the image into two triangles that can repres
jasenka [17]
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4 0
3 years ago
9. The total length of the Trans-Canada Highway is 7870 km. About 6% of
nadezda [96]

Answer:

472.2 km

Step-by-step explanation:

5 0
3 years ago
When we rewrite an expression so that it has no grouping symbols and all of the like terms have been combined, we ___ it.
Dmitriy789 [7]

Answer:

  "simplify"

Step-by-step explanation:

The notion of <em>simplifying</em> an expression depends on the expression. For the one offered as an example, the simplification steps required are eliminating parentheses and combining like terms.

Other possible simplification steps include combining fractions, reducing fractions, and rationalizing denominators (eliminating surds or complex numbers).

It appears the vocabulary word that is desired in the blank is <u>simplify</u>.

8 0
3 years ago
Read 2 more answers
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