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xeze [42]
3 years ago
6

Ten less than three times the sum of a number and five is equal to twenty-nine. What is the number ?

Mathematics
1 answer:
kozerog [31]3 years ago
3 0
Hello!
So the following would be your equation.
3(x+5)-10= 29
Your first step would be to use the Distributive Property based upon PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). Since we have Parenthesis, we distribute first.
3(x+5)-10=29
^ ^
——————
So, your new equation would be—
3x+15-10=29
Now, you need to combine like terms—
15-10=29
3x+5=29
——————
Therefore your new equation is—
3x+5=29.
Now you need to move the constants (5,29) to one side of the equal sign. To do this, you would use the Subtraction Property of Equality and rid the 5–
3x+5=29
-5 -5
——————
Your equation is now—
3x=24.
Finally, you need to remove the 3 from x. This means you must use the Division Property of Equality, and rid the 3.
3x=24
— —
3 3
Your solved equation is—
X=8

Hope this helped!
~KayEmQue

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Wittaler [7]
The answer is y>-2x+1
4 0
3 years ago
Solve for x. Show your work.
Korvikt [17]

Answer:

x=6

Step-by-step explanation:

The sum of the angles is a right angle, which is 90 degrees

5x+ x+54 = 90

Combine like terms

6x+54 = 90

Subtract 54 from each side

6x+54-54 = 90-54

6x = 36

Divide each side by 6

6x/6 = 36/6

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3 0
2 years ago
A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 150 li
Anika [276]

Answer:

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

Step-by-step explanation:

Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.

Given;

N(A) = 150

N(B) = 204

N(C) = 206

N(A∩B) = 75

N(A∩C) = 100

N(B∩C) = 98

N(A∩B∩C) = 38

N(Total) = 500

How many students like Reese's Peanut Butter Cups or Snickers, but not Twix;

N(AUC∩B')

This can be derived by first finding;

N(AUC) = N(A) + N(C) - N(A∩C)

N(AUC) = 150+206-100 = 256

Also,

N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135

N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

See attached venn diagram for clarity.

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part

6 0
3 years ago
– 42 – 54 + 96 = <br><br> what is the answer
mart [117]

<em><u>Answer:</u></em>

<em><u>Answer:the answer is zero </u></em>

<em><u>Answer:the answer is zero Step-by-step explanation:</u></em>

<em><u>Answer:the answer is zero Step-by-step explanation:when we add -42 and -54 the answer we get is -96. -96and +96 cut each other and then the answer is zero </u></em>

<em><u>- 42 - 54  + 96 = 0</u></em>

6 0
1 year ago
88x1.8= what does it equal please help
nikklg [1K]
88 times 1.8 would be 158.4! Hope this helps!
3 0
3 years ago
Read 2 more answers
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