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Makovka662 [10]
3 years ago
5

Anderson has been saving his earnings from mowing the neighborhood lawns. he has 70 dollars and wants to spend it all on movies.

if each movie costs 4 dollars, how many can anderson buy. show steps
Mathematics
1 answer:
frutty [35]3 years ago
5 0
70 = 4x
x equals the number of movies 

divide both sides by 4

70 / 4 = x
17 .5 = x

Anderson will be able to go to 17 movies
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the expression 15 a + 12 C is the cost in dollars of a admission at an amusement park for a adults and see children find the tot
Blizzard [7]

Answer:

<em>$195</em>

Step-by-step explanation:

15a + 12c

5 adults and 10 children means a = 5 and c = 10

15a + 12c = 15(5) + 12(10) = 75 + 120 = 195

5 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
A circle with radius 4 centimeters.
Vaselesa [24]

Answer:

16pi cm2

Step-by-step explanation:

Area of a circle = pi * radius * radius = pi * 4 cm * 4 cm = 16pi cm2

4 0
3 years ago
Read 2 more answers
Solve this system of equations by any method.<br> 5x + y = -13<br> 4x + 3y= -17
irga5000 [103]
5x + y = -13.....multiply by -3
4x + 3y = -17
-----------------
-15x - 3y = 39 (result of multiplying by -3)
4x + 3y = -17
-----------------add
-11x = 22
x = -22/11
x = -2

5x + y = -13
5(-2) + y = -13
-10 + y = -13
y = -13 + 10
y = -3

solution (-2,-3)
5 0
3 years ago
Write an equation in slope-intercept form that includes the points (-1,4) and (2, −2).
suter [353]
The two formulas i used should be in your book

4 0
3 years ago
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