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mixas84 [53]
3 years ago
5

If Q is the midpoint of PR, and PQ = 2x + 3 and QR = 3x– 2, find x, PQ, QR, and PR.

Mathematics
1 answer:
leva [86]3 years ago
8 0
Since they tell us that Q is the midpoint you now understand that the line is split evenly.
PQ=QR
 2x+3=3x-2
 2x+5=3x
 x=5.
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Erin opened a savings account that earns 3% simple interest. If she deposits $2,750 and doesn't make any additional deposits or
Genrish500 [490]

Answer:

$3,245

Step-by-step explanation:

For a money saved at Simple Interest,

Amount =Simple Interest+Principal

Principal, P=$2750

Rate, r=3%

Time, T=6 Years

Simple \: Interest= \frac{Principal X Rate X Time}{100}

= \frac{2750X 3 X 6}{100}=$495

Therefore, Amount in Erin's Account after 6 years =2750+495

=$3,245

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3 years ago
An ice chest contains six cans of apple​ juice, eight cans of grape​ juice, four cans of orange​ juice, and two cans of mango ju
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8 0
3 years ago
What is the fraction of 2.6
Solnce55 [7]
2 3/5 or 2 6/10 is the answer
6 0
3 years ago
Read 2 more answers
What is the value ofx in the equation 2(6x+4)-6+2x=3(4x+3) + 1<br> 1<br> 3<br> 4<br> 6
ira [324]

Answer:

x = 4

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>Algebra I</u>

  • Equality Properties
  • Combining Like Terms

Step-by-step explanation:

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

2(6x + 4) - 6 + 2x = 3(4x + 3) + 1

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

  1. Distribute:                                   12x + 8 - 6 + 2x = 12x + 9 + 1
  2. Combine like terms:                   14x + 2 = 12x + 10
  3. Subtract 12x on both sides:       2x + 2 = 10
  4. Subtract 2 on both sides:          2x = 8
  5. Divide 2 on both sides:              x = 4
8 0
3 years ago
Helpppp plzzz The frequency histogram shows the lengths of trails in a large park.
Rus_ich [418]

Answer:

13 trails

Step-by-step explanation:

The histogram shows following numbers of trails:

  • <u>0 - 6 km long</u> - 5 trails;
  • 6 - 12 km long - 9 trails;
  • 12 - 18 km long - 7 trails;
  • 18 - 24 km long - 3 trails;
  • <u>24 - 30 km long</u> - 4 trails;
  • <u>30 - 36 km long</u> - 1 trail;
  • <u>36 - 42 km long</u> - 3 trails.

So, there are 5 trails with length less than 6 km and 4 + 1 + 3 = 8 trails that are at least 24 km long.

In total, 5 + 8 = 13 trails

8 0
3 years ago
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