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tresset_1 [31]
2 years ago
11

18. MP Reason Inductively The product of

Mathematics
1 answer:
timama [110]2 years ago
6 0

Answer:

- 2 and 12

Step-by-step explanation:

let the 2 integers be x and y , x > y , then

x - y = 14 → (1)

x + y = 10 → (2)

add the 2 equations term by term to eliminate y

2x = 24 ( divide both sides by 2 )

x = 12

Substitute x = 12 into (2)

12 + y = 10 ( subtract 12 from both sides )

y = - 2

As a check

x + y = 12 + (- 2) = 12 - 2 = 10

x - y = 12 - (- 2) = 12 + 2 = 14

xy = 12 × - 2 = - 24

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Use the substitution method to solve the system of equations.
Murrr4er [49]

Answer:

D. (1/4, -2)

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

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y = -8x

4x - y = 3

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    4x - (-8x) = 3
  2. Simplify:                               4x + 8x = 3
  3. Combine like terms:           12x = 3
  4. Isolate <em>x</em>:                              x = 3/12
  5. Simplify:                               x = 1/4

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                    y = -8x
  2. Substitute in <em>x</em>:                       y = -8(1/4)
  3. Multiply:                                  y = -2
8 0
2 years ago
Solve please I do not understand at all and please show work!
lina2011 [118]
So the recipe calls for 96 grams of sugar, and one cup is 128 grams of sugar.

She added a half of a cup, and as they said before one cup was 128 grams of sugar. So half of 128 is 64. So she added 64 grams of sugar. The recipe needs 96 grams so 64 grams is not enough sugar.

So 96 grams minus 64 equals 32 grams. So she still needs 32 grams of sugar.

So since the answers are all in cups, we must convert our answer from grams to cups.

So we have 32 grams of sugar left and to convert it we must put the 32 grams out of one cup. Once again one cup is 128 grams of sugar. So the amount of cups we need is 32/128 (fraction).

Also we need to simplify our fraction to completely answer the question. So we divide the numerator and denominator by 32.

So the final answer is 1/4. So the answer is D or the last answer out of the multiple choice.
8 0
2 years ago
Refer to the sequence 11, 16, 21, 26, 31, 36. Explain why the terms in the sequence will continue to alternate between even and
Debora [2.8K]

Explanation:

The common difference of this arithmetic sequence is 5. Adding 5 to an even number gives an odd number, and vice versa. Hence the "parity" of the terms in the sequence must alternate between odd and even.

8 0
3 years ago
Find the area of a rectangle that length is 7n^2 +3n and width 2n^3
WITCHER [35]

Answer:a

Step-by-step explanation: avnvgjv

A

4 0
2 years ago
Prove that 3^17−3^15+3^13 is divisible by 73.<br><br> HELPPPPPP PLEASEEE
Fiesta28 [93]

Answer:

Well 3^17-3^15+3^13 equals 116,385,579

Now divide that by 73

So 116,385,579 ÷ 73

That equals 1,594,323

Hope this helps

4 0
2 years ago
Read 2 more answers
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