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Mashutka [201]
3 years ago
13

Marc commutes to work on his bicycle, which has tires that measure 26 inches in diameter. A device on his bike informs him that

one tire completed 388 full rotations between the time he left his house and the time he arrived at work. Rounded to the nearest inch, how far did Marc bike between his house and work?
Mathematics
2 answers:
topjm [15]3 years ago
7 0

Answer: its c

Step-by-step explanation:

aleksley [76]3 years ago
3 0

Answer:

It's C

Step-by-step explanation:

You might be interested in
Combine the like terms to create an equivalent expression: <br> 2s-( -4s)= ?
Ghella [55]

Answer:

6s

Step-by-step explanation:

1. 2s-(-4s)

2. 2s+4s

3. 6s

6 0
3 years ago
In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle<br> XYZ?
Molodets [167]

Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

7 0
2 years ago
Given f(x)=x^2 and G(x)=x-1
matrenka [14]

9514 1404 393

Answer:

  g(f(7/3)) = 4 4/9

Step-by-step explanation:

  g(f(7/3)) = g((7/3)²) = g(49/9) = 49/9 -1 = 40/9

  g(f(7/3)) = 4 4/9

4 0
3 years ago
Camison's minnan gets 14 miles per gallon for city driving and 19 miles per gan
loris [4]

Answer:

<u>7 gallons were used for city driving and 17 gallons were used for highway driving</u>

Correct statement and question:

camison's minnan gets 14 miles per gallon for city driving and 19 miles per gallon for highway driving. At the beginning of the week, the 24-gallon tank was full. The family traveled 421 miles before running out of gas. How many gallons were used for city driving and  how many were used for highway driving?

Source:

Previous question found at brainly

Step-by-step explanation:

x = Gallons for city driving

24 - x = Gallons for highway driving

Miles drove before running out of gas = 421

Now let's solve for x, writing the following equation:

14x + 19 (24 - x) = 421

14x + 456 - 19x = 421

-5x = 421 - 456

-5x = - 35

x = -35/-5

x = 7 ⇒ 24 -x = 17

<u>7 gallons were used for city driving and 17 gallons were used for highway driving</u>

3 0
3 years ago
Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court
Ksju [112]

Answer:

(a)\dfrac{92}{117}

(b)\dfrac{8}{39}

(c)\dfrac{25}{117}

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed)=P(MW)+P(WM)

=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.
  • Two women are appointed

P(at least one woman is appointed)=P(MW)+P(WM)+P(WW)

P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}

In Part B, P(MW)+P(WM)=\frac{8}{39}

Therefore:

P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}

5 0
3 years ago
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