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AlekseyPX
3 years ago
15

For which value of x is the equation 2(1 + x) = x + 3 true? A) 1 B) 2 C) 3 D) 4

Mathematics
1 answer:
amm18123 years ago
5 0

Answer:

A) 1

Step-by-step explanation:

To solve, just plug in the numbers to the equation for x until both sides are equal to each other.

Plug in 1:

2(1 + x) = x + 3

Let x = 1:

2(1 + 1) = 1 + 3

Solve. Remember to follow PEMDAS. First, add parenthesis, then multiply. On the other side, add:

2(1 + 1) = 1 + 3

2(2) = 4

4 = 4 (True)

A) 1 is your answer.

~

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Ax + bx - 15 = 0;x<br> How do you solve this?
Pani-rosa [81]

Answer:

Step-by-step explanation:

ax+bx-15=0\\=> (a+b)x-15=0\\=>(a+b)x=15\\=>x=\frac{15}{(a+b)}

7 0
3 years ago
On a certain​ exam, Tony corrected 20 papers and found the mean for his group to be 70. Alice corrected the remaining 10 papers
son4ous [18]

Answer:

The mean of the combined group is 76.67 ≈ 77

Step-by-step explanation:

  1. The sum of the grades in Tom's group is 20×70 = 1400
  2. The sum of grades in Alice's group is 10×90=900
  3. The sum of gradees in the combined group is =1400+900=2300
  4. Then the mean grade of the combined group is \frac{2300}{30}=76.67

where

  • 2300 is the sum of the all grades in the combined group
  • 30 is the total number of people in the group
4 0
3 years ago
R=x^2/y <br> x=3.8 times 10^5 <br> y=5.9 times 10^4 <br> work out the value of r
Zinaida [17]

Answer:

  2.4×10^6

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic. You can enter the numbers in scientific notation into your (scientific) calculator and have it show you the result in the same format.

  r = (3.8×10^5)^2/(5.9×10^4) . . . . . denominator parentheses are required

Please note that in the above expression, parentheses are required around the denominator number. This is because it is a product of two numbers. In your pocket calculator or spreadsheet, you can enter that value as a single number (not a product). Parentheses are not required when you can do that.

  r = (3.8²/5.9)×10^(5·2-4) ≈ 2.4×10^6

___

The "exact" value is a repeating decimal with a long repeat. We have rounded to 2 significant digits here because the input numbers have that number of significant digits.

7 0
3 years ago
Mrs. Mitchell decided to grade her projects by giving each student 50 points if they turned in a project and then an additional
photoshop1234 [79]
Let c be the amount of parts the student answered correctly.  Suppose that s(c) is a function between c and the score of a student's project.  As the student initially receives a fixed 50 points for turning the project in and 5 points for each correct part, the function is initially:

s(c) = 5c+50

When the students receive 7 points for each correct part, the coefficient of c changes, as the amount of points received per correct answer increases.  Thus:

s(c) = 7c+50.
6 0
3 years ago
The quotient of two less than a number and five is eight
postnew [5]

Answer:

The number is 42.

Step-by-step explanation:

Let x be the unknown number.

"two less than a number" is x - 2

Quotient means the result of a division.

(x - 2)/5 = 8

Multiply both sides by 5.

x - 2 = 40

Add 2 to both sides.

x = 42

Answer: The number is 42.

Check.

Start with 42. 2 less than 42 is 40. The quotient of 40 and 5 is 40/5 which is 8. The answer is correct.

5 0
3 years ago
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