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Igoryamba
4 years ago
13

Paul and Tom both commute to work. Paul's commute on the train takes 15 minutes more than one third as many minutes as Tom's com

mute by car. It takes Paul 45 minutes to get to work. Write an equation to determine how many minutes it takes Tom to get to work.
45 = one thirdx − 15
45 = one thirdx + 15
45 = 3x − 15
45 = 3x + 15
Mathematics
1 answer:
Ronch [10]4 years ago
8 0

Answer:

  45 = (one third)x + 15

Step-by-step explanation:

If x represents the number of minutes Tom commutes, then (1/3)x is "one-third as many minutes as Tom's commute." 15 minutes more than that is ...

  (1/3)x + 15

We are told this is the length of Paul's commute, and that it is 45 minutes. So, the appropriate equation is ...

  45 = (1/3)x +15

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I am just completely lost and am unsure of how to approach this problem.
Anastasy [175]

Answer:

68°

Step-by-step explanation:

As BA⊥BD, so ∠ABD = 90°

also, ∠ABD = ∠CBD + ∠ABC

⇒ 90° = 4x + 52° + 8x - 10°

⇒  12x = 48°

⇒  x = 4°

now,

∠CBD = 4x + 52°

          = 4(4°) + 52°

          = 68°

5 0
3 years ago
Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in 3 hours and 6 minutes?
Veronika [31]

Answer:

He will bike <u>26.87 miles</u>.

Step-by-step explanation:

Given:

Jordan bikes at a speed of 8 2/3 mph.

Now, to find the distance he will bike in 3 hours and 6 minutes.

<u><em>Speed</em></u> =  8\frac{2}{3}=\frac{26}{3}\ mph.

<u><em>Time</em></u> = 3 hours and 6 minutes

         = 180+6=186\ minutes.

As, 60 minutes = 1 hour.

         = \frac{186}{60} =3.1\ hours.

So, to get the distance we put formula:

Distance=speed\times time

Distance=\frac{26}{3} \times 3.1

Distance=\frac{80.6}{3}

Distance=26.87\ miles.

Therefore, he will bike 26.87 miles.

5 0
3 years ago
Helpp me please
Evgesh-ka [11]

Answer:

15 B

16 B

17 A

Step-by-step explanation:

A triangle is a figure with three sides.

Which can be re-written in the if-then form as If  the figure is a triangle then it has three sides.

The elevator has a MAX capacity of 8 people. This means that only 8 or less people can be on the elevator at a time. If c = # of people then c must be less than or equal to 8 as the elevator has a max capacity of 8 people. Hence the mathematical statement would be c ≤ 8

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3 years ago
Find the value of x. The angle measures of a right triangle are <br>x°<br>8x°​
lianna [129]

Answer:

x equals 10

Step-by-step explanation:

All triangles have 180 degrees

The bottom left angle is a right angle and is therefore 90°

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9x=90°

x=10°

8 0
3 years ago
Read 2 more answers
Set Question involving real and natural numbers
Allushta [10]

Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like

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√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then

(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}

A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that

(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}

I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then

(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.

N is a subset of B, so

(iv.b) N - B = N = {1, 2, 3, ...}

3 0
3 years ago
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