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klemol [59]
3 years ago
15

Marco drove 75 miles in 1 2/3 hours. how many miles ca he drive in 1 hour?

Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0

Answer:

  • <u>45 miles</u>

Explanation:

The distance driven is directly proportional to the time:

  • distance / time = K

Which can also be written as:

  • distance₁ / time₁ = distance₂ / time₂

Here you have:

  • distance₁ =75 miles
  • time₁ = 1 + 2/3  hours = (3 + 2) / 3 hours = 5/3 hours
  • distance₂ = x
  • time₂ = 1 hour

With that you can set up a proportion:

  • 75 miles / (5/3) hour = x₂ / 1 hour

Solving for x₂ you get:

  • x₂ = [75 miles] × 1 hour / (5/3 hour) = 3 × 75 / 5 miles = 45 miles
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Answer:

110

Step-by-step explanation:

4 x ( 3+ 52) ÷ 2

4 x 55 ÷ 2

220 ÷ 2 = 110

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3 years ago
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∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+10)^{\circ}∠A=(7x+10) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ ,
blsea [12.9K]

Answer:

108 degrees

Step-by-step explanation:

Since angles A and B are supplementary, they both add up to 180. Angle A = 7x+10, and angle B = 7x-26. You can set up the equation A + B = 180, and then plug in angles A and B, which gives you 7x+10 + 7x-26 = 180. Then you just need to isolate x:

Combine like terms: 14x - 16 = 180

Add 16 to both sides: 14x = 196

Divide both sides by 14: x = 14

Now that you know x, you can plug it into the expression for angle A (7x+10):

A = 7(14) + 10 = 98+10 = 108

5 0
2 years ago
Please someone all 3 :)
san4es73 [151]

Answer:

1. Anne = 21 Bobby=35, 450, 70+40+30=140

Step-by-step explanation:

  1. 1 21÷3=7
  2. 7×5=35

  1. 7-2=250
  2. 5=250
  3. 1=50
  4. 2×50+7×50=100+350=450
  5. 450

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HELP A FELLA OUT Please
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I'll write "x" instead theta.

sin x + 1 = cos(2x)

formula: cos(2x) = 1 - 2sin²x

sin x + 1 = 1 - 2sin²x

2sin²x + sin x = 0

sin x (2sin x + 1) = 0

sin x = 0 or sin x = -1/2

x1 = πk and x2 = -π/6 + 2πk and

x3 = 5π/6 + 2πk

for domain 0≤x<2π :

x1 = 0 (for k=0 in x1)

x2 = π (for k=1 in x1

x3 = 11π/6 (for k=1 in x2)

x4 = 5π/6 (for k=0 in x3).

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