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Anettt [7]
3 years ago
10

A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track

at the average speed of 3 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?
A. 0.5< t < 0.75
B. 1.75< t < 2.0
C. 2.0 < t < 2.5
D. 2.5 < t < 3.0
E. 3 < t < 3.5
Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0

Answer:

  C.  2.0 < t < 2.5

Step-by-step explanation:

  time = distance / speed

The circumference of the lake is given by ...

  C = πd = 2π miles ≈ 6.28 miles

Then Johanna's time is ...

  (6.28 mi)/(3 mi/h) ≈ 2.09 h

This time is in the interval (2, 2.5), so matches choice C.

___

<em>Alternate solution</em>

If we take pi to be 3, then this boils down to ...

  2×3/3 = 2 . . . hours

Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.

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Please help me. I need how to do the problem too
MatroZZZ [7]

Answer: Choice A.  (8, 4)

==========================================================

Explanation:

Because x = 2y, we can replace every copy of x with 2y

Let's do so in the second equation

3x - 4y = 8

3(x) - 4y = 8

3(2y) - 4y = 8 .... x replaced with 2y; now let's isolate y

6y - 4y = 8

2y = 8

y = 8/2 ..... divide both sides by 2

y = 4

Use this y value to find x

x = 2y

x = 2*4

x = 8

So we have x = 8 and y = 4 pair together to get the answer (x,y) = (8, 4) which is choice A.

5 0
3 years ago
The number of tickets collected by joshua,kenneth,and larry is in the ratio 2:5:8.kenneth collected 85 tickets
mart [117]
I don't understand you questions
3 0
3 years ago
Find a, (x-3) + (x-a) = 15
slega [8]

a = 2x - 18

remove the parenthesis and simplify

x - 3 + x - a = 15

2x - 3 - a = 18 ( add 3 to both sides

2x - a = 18 ( subtract 2x from both sides )

- a = 18 - 2x ( multiply through by - 1 )

a = - 18 + 2x

a = 2x - 18


8 0
3 years ago
What is 7 to the power of 6 mulitplyed by 7 to the power of 5 and simplifyed
choli [55]

Answer:

7^11

Step-by-step explanation:

7^6 * 7^5

when multiplying power of the same base, add the exponents

7^ (6+5)

7^ 11


3 0
3 years ago
Question 7 of 10 Which system of inequalities is graphed below? 10 -10 -8- 8 10 OA. y &gt; X - 4 y &lt; x +6 OB. VS X - 4 y &lt;
Vera_Pavlovna [14]

Because in both graphs the shaded region is above the curve, the correct option is C.

<h3>Which pair of inequalities is graphed?</h3>

On the graph we can see two parabolas, such that the y-intercepts of these are:

y = 6

y = -4

So we just need to find the pair of options with these y-intercepts, and noticing that for both cases, we must have:

y > parabola.

Because both shaded regions are above the parabolas.

The only option that meets these requirements is option C. Where there is a mistake, as you can see both curves have dashed lines, and always when we have dashed lines we should use the symbols > or <, while in that option we have a ≥ symbol

If you want to learn more about inequalities:

brainly.com/question/18881247

#SPJ1

6 0
1 year ago
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