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Ahat [919]
3 years ago
5

Q= 4+0.8p what value of p would make the equation true if q was 70

Mathematics
1 answer:
just olya [345]3 years ago
7 0

Answer:

82.5 = p

Step-by-step explanation:

Q= 4+0.8p

Let q = 70

70= 4+0.8p

Subtract 4 from each side

70-4= 4-4+0.8p

66 = .8p

Divide each side by .8

66/.8 = .8p/.8

82.5 = p

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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
The diameter of a circle is 6 km what is the circles area
tankabanditka [31]
The area of the circle will be 28.27 km.
3 0
3 years ago
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HELP PLEASE ANSWER ALL CORRECTLY!!
stellarik [79]
Girl if you don’t look up the answers besides asking us
5 0
3 years ago
What is the constant of proportionality?<br> 13<br> 39<br> 42<br> 78
Nana76 [90]
The constant of proportionality is 13
6 0
3 years ago
A and B are two events. Let P(A)=0.5 , P(B)=0.9 and P(A and B)=0.15 .
Nana76 [90]

Answer:

option-C

Step-by-step explanation:

we are given

Let P(A)=0.5

P(B)=0.9

P(A and B)=0.15

we know that

P(A|B)=\frac{P(Aand B)}{P(B)}

now, we can plug values

P(A|B)=\frac{0.15}{0.9}

P(A|B)=0.16666

but we have

P(A)=0.5

we can see that both are not equal

P(A|B)\neq P(A)

so, A and B are not independent

so, option-C........Answer


5 0
3 years ago
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