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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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RUDIKE [14]

Answer:

63 ft^2

Step-by-step explanation:

We know that the area for the rectangle is 72 feet squared.

We also know that the area for the triangle is 9 feet squared.

To find out the area of the whole thing you subtract 72-9 whcih gives you 63.

6 0
2 years ago
4. ADEF is an equilateral triangle.<br> E<br> 24<br> 20<br> D<br> F
irinina [24]

By Pythagorean theorem

x²+GF²=EF² ( where G is the point of intersection of perpendicular lines)

now, GF=1/2 EF= 12

x²+12²=24²

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x²=432

x=√432

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7 0
2 years ago
Write an equation of the line shown. Then use the equation to find the value of x when y=112
PtichkaEL [24]

Answer:

y = 8x + 16

x = 12

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format y = mx + b.

Where,

m = slope = \frac{y_2 - y_1}{x_2 - x_1}

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

Let,

(0, 16) = (x_1, y_1)

(3, 40) = (x_2, y_2)

slope (m) = \frac{40 - 16}{3 - 0}

slope (m) = \frac{24}{3}

slope (m) = 8

Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.

y = mx + b

16 = 8(0) + b

16 = 0 + b

16 = b

b = 16

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

y = mx + b

y = 8x + 16

Let's use the equation to find x when y = 112.

y = 8x + 16

Substitute y = 112 in the equation

112 = 8x + 16

112 - 16 = 8x

96 = 8x

Divide both sides by 8

12 = x

x = 12

8 0
2 years ago
5w=5×10 to the second power
torisob [31]
Hey there!


5 x w = 10 to the second power . . .

10 x 10 = 100

5 x 100 = 500

5 x w = 500

500 = 5w

w = 100 <-------

Hope this helps you.
Have a great day!

6 0
3 years ago
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Answer:

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3 years ago
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