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Mashutka [201]
3 years ago
15

Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money an

d spent $7.50 on a ticket. Write and solve an equation to find how much money each boy had left after buying his ticket?
Mathematics
1 answer:
polet [3.4K]3 years ago
4 0

Answer: each boy had $2.5 left after buying his ticket.

Step-by-step explanation:

Miguel and three of his friends went to the movies. They originally had a total of $40. If each boy had the same amount of money, it means that the amount that each boy( 4 boys in total) has is 40/4 = $10

Let x represent the amount of money that each boy had left after buying his ticket. If each boy spent $7.50 on a ticket, then the equation becomes

x + 7.5 = 10

Subtracting 7.5 from the left hand side and the right hand side of the equation, it becomes

x = 10 - 7.5 = 2.5

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The manager of the commercial mortgage department of a large bank has collected data during the past two years concerning the nu
ZanzabumX [31]

The <em>expected number of mortgages</em> approved per week and the standard deviation of the distribution are 2.019 and 0.024 respectively.

<u>The expected number of mortgages approved per week</u> :

  • <em>Mean = (Σfx ÷ Σf)</em>

Expected Number approved = 210 ÷ 104 = 2.019

Hence, it is expected that 2.019 mortageahes would be approved per week.

<u>The standard deviation</u> :

  • <em>Variance = [Σ(Xi - x)² ÷ Σf] </em>

  • <em>Standard deviation = √Variance</em>

Variance = (59.5414 ÷ 104) = 0.0005698

Standard deviation = √0.0005698

Standard deviation = 0.024

Therefore, the expected value and standard deviation are 2.019 and 0.024 respectively.

Learn more :brainly.com/question/15528814

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2 years ago
The red figure is congruent to the blue figure. Which choice describes a sequence of transformations in which the blue figure is
Colt1911 [192]

Answer:

  • 2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.

Step-by-step explanation:

  • <em>Easy way to take one of the vertices and apply the transformations</em>

1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.

  • False

2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.

  • True
  • (-3, 3) →  (3, 3) → (3 - 10, 3 - 9) = (-7, -6)

3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.

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4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.

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4 0
3 years ago
Patti has two glue sticks that are partially used . One has 1/5 left and one has 3/10 left. Which glue stick has more glue
leonid [27]

Answer:

The second glue stick

Step-by-step explanation:

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3 years ago
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Can anyone help me with this Midterm Advanced Algebra problem. (DONT ANSWER IF YOUR NOT SURE)
tigry1 [53]

Answer:

y = -1/2x + 13/2

Step-by-step explanation:

The slope of a line that is perpendicular to a line will be a negative reciprocal. When you rewrite 2x-7=8 into slope-intercept form, you get y=2x-8. The negative reciprocal of the slope 2x is -1/2x. There is only one option with this slope. If you're still not sure then you can use a graphing calculator to check this. An online one would be desmos

3 0
3 years ago
Two spray paint machines are used to paint different portions of a large wall. The first machine (nicknamed "Paint Pro") is used
jonny [76]

Answer: The answer is 30 sq.ft/min and 25 sq.ft/min.


Step-by-step explanation:  Given that there are two spray paint machines. The first machine (nicknamed "Paint Pro") is used for two hours and the second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute and together they painted 5850 square feet of wall.

Let 'x' and 'y' sq.ft/min be the portion of the wall painted by Paint Pro and Goldilocks respectively.

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x+y=55,\\\\120x+90y=5850~~\Rightarrow 4x+3y=195.

Multiplying first equation by 4 and subtracting the second equation from it, we have

4y-3y=220-195\\\\\Rightarrow y=25,

and

x=55-25=30.

Thus, Paint Pro will paint 30 sq.feet per minute and Goldilocks will paint 25 sq.ft per minute.

4 0
3 years ago
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