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nlexa [21]
3 years ago
13

Jessica, Hans, and Tom sent a total of 95 text messages during the weekend. Tom sent 3 times as many messages as Hans. Jessica s

ent 10 more messages than Hans. How many messages did they each send?
Mathematics
1 answer:
Virty [35]3 years ago
3 0

Answer: Manal = 27 messages

Elisa = 17 messages

Abdulrahman = 51 messages

Step-by-step explanation:

Let tye number of messages that Manal sent be x.

Since Eissa sent 10 fewer messages than Manal, this will be:

= x - 10

Abdulrahman sent 3 times as many messages as Eissa. This will be:

= 3(x - 10) = 3x - 30

We are also told that Manal, Abdulrahman, and Eissa sent a total of 95 text messages. This will be:

x + (x - 10) + (3x - 30) = 95

x + x - 10 + 3x - 30 = 95

x + x + 3x - 10 - 30 = 95

5x - 40 = 95

5x = 95 + 40

5x = 135

x = 135/5

x = 27

Manal = x = 27

Elisa = x - 10 = 27 - 10 = 17

Abdulrahman = 3x - 30 = 3×27 - 30 = 81 - 30 = 51

Manal = 27 messages

Elisa = 17 messages

Abdulrahman = 51 messages

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Lana71 [14]

Answer:. x = 18

Step-by-step explanation:

Solve by substitution. Given: y= 12x. Rewrite the original equation y= 180 + 2x to 12x = 180 +2x. Subtract 2x from both sides. 10x = 180. Then divide both sides by 10.

x=18

So once she has sold 18 necklaces, she has covered her costs (180 + 36) and she begins to make a profit.

4 0
4 years ago
Check if x=-1 is a solution to x3 + 3x^2 = x+3. Which statement do you get?
vredina [299]

Answer:

D. 2 = 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<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

x³ + 3x² = x + 3

x = -1

<u>Step 2: Check</u>

  1. Substitute in <em>x</em>:                                                                                                  (-1)³ + 3(-1)² = -1 + 3
  2. Evaluate exponents:                                                                                         -1 + 3(1) = -1 + 3
  3. Multiply:                                                                                                             -1 + 3 = -1 + 3
  4. Add:                                                                                                                   2 = 2
4 0
3 years ago
Consider the diagram.
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Step-by-step explanation: I did the assignment

4 0
3 years ago
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What is the zero of 4x - 3y = -24?
Galina-37 [17]

Answer:

x = 3/4y - 6

6 0
3 years ago
Read 2 more answers
Part
irina [24]

The last term is 63 so 3 might be a zero of the function;-

f(3) = 27 - 7*9 - 3*9 +63 = 27 - 63 - 27 + 63 = 0  so 3 is a zero and

therefore (x - 3) is a factor  of the volume function.

Long division  of the expression by x - 3 gives the quotient:-

x^2 + 4x - 21

Factoring this:-

= ( x + 7)(x - 3)

So the dimensions of the box are, x-3, x-3 and x+7  answer.


5 0
3 years ago
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