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ss7ja [257]
3 years ago
13

What is the factor expression for 3p+18 answer?

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
8 0
3p+18=3(p+6)
Leya [2.2K]3 years ago
8 0
3p+18=3\times p+3\times6=\boxed{3\times(p+6)}
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Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe
motikmotik

Answer:

  • 12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

  • Distance = 20 km
  • Time difference = 20 min = 1/3 hr
  • Speed difference  = 2 km/h

<u>As per above info we get following equations:</u>

  • s = d + 2
  • 20/s + 1/3 = 20/d

<u>Substitute s and solve for d:</u>

  • 20/(d + 2) + 1/3 = 20/d

<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>

  • 60d + d(d + 2) = 60(d + 2)
  • 60d + d² + 2d = 60d + 120
  • d² + 2d = 120
  • d² + 2d + 1 = 121
  • (d + 1)² = 11²
  • d + 1 = 11
  • d = 10

<u>Find s:</u>

  • s = 10 + 2 = 12

<u>The answer is</u>

  • Masha's speed 12 km/h and Dasha's speed 10 km/h
3 0
3 years ago
There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 peop
Delvig [45]

Answer:

\frac{11}{87}

Step-by-step explanation:

Total number of people = 130

Number of people who use the gym = 73

Number of people who use the pool = 62

Number of people who use the track = 58

Number of people who use the gym and the pool = 22

Number of people who use the pool and the track = 29

Number of people who use the gym and the track = 25

Number of people who use all three facilities = 11

Total number of people who use at least two facilities = 22 + 29 + 25 + 11 = 87

The probability that the randomly selected person uses all three facilities = number of those who use all three facilities ÷ total number of people who use at least two facilities.

==> 11 ÷ 87

==> \frac{11}{87}

3 0
3 years ago
Which of the following statements are true? Select all that apply.
wariber [46]

Answer:

1. No. it equals 24

2. Yes. it equals 18

3. Yes. it equals 90

4. No. it equals 44

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the decimal of 0.267 divided by 100
expeople1 [14]
When dividing with numbers like 10, 100, 1000, etc. You just move the decimal left depending how many zeros you have.

So your answer would be .00267
7 0
3 years ago
Read 2 more answers
What are the solutions of t+3&gt;-1? Graph the solutions.
olya-2409 [2.1K]
T is more than -4. Remember that -4 is not included.

4 0
3 years ago
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