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choli [55]
3 years ago
6

Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. If the friends spen

d a total of $62.50, how much does each small bag of popcorn cost?​
Mathematics
2 answers:
jek_recluse [69]3 years ago
6 0

Answer:

Step-by-step explanation:

Ticket cost $8

Five friend pays = 5×$8 = $40

The ticket for 5 cost $40

Let popcorn cost x

For five friends = x × 5 = $5x

Total money spent = $62.50

40 + 5x = 62.50

5x = 62.50 - 40

5x = 22.50

x = 22.50/5

x = $4.50

Small popcorn cost $4.50 each

ohaa [14]3 years ago
4 0

Answer:

Formula: (cost of ticket + cost of popcorn) * # of friends = total cost

Which would give us (8 + x) * 5 = 62.5

Solve for x.

8 + x = 12.5 {divide each side by 5}

x = 12.5 - 8

x = 4.5

Each small bag of popcorn costs $4.50.

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Answer:

\large\boxed{Q1.\ 80\ cm^3}\\\boxed{Q2.\ 45\ in^3}\\\boxed{Q3.\ 48\ m^3}\\\boxed{Q4.\ A,\ D}\\\boxed{Q5.\ 96\ in^3}

Step-by-step explanation:

\text{The formula of a volume of a rectangular prism:}\\\\V=lwh\\\\l-length\\w-width\\h-height

\bold{Q1}\\\\l=10\ cm,\ w=4\ cm,\ h=2\ cm\\\\V=(10)(4)(2)=80\ cm^3\\\\\bold{Q2.}\\\\l=5\ in,\ w=3\ in,\ h=3\ in\\\\V=(5)(3)(3)=45\ in^3\\\\\bold{Q3.}\\\\l=4\ m,\ w=2\ m,\ h=6\ m\\\\V=(4)(2)(6)=48\ m^3\\\\\bold{Q4.}\\\\V=120\ ft^3\\\\\bold{A:(5)(4)(6)=120}\\B:\ (7)(7)(6)=294\\C:\ (3)(6)(4)=72\\\bold{D:\ (10)(3)(4)=120}\\\\\bold{Q5.}\\\\l=8\ in,\ w=4\ in,\ h=3\ in\\\\V=(8)(4)(3)=96\ in^3

4 0
3 years ago
A contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across. How many square
SOVA2 [1]

Answer:

A. 346.19 square feet.

Step-by-step explanation:

We have been given that a contractor has been hired to install flooring for a bandstand in the shape of a circle that is 21 feet across.

To find the square feet of flooring required, we will find area of circle.

Since the length across the circle is 21 feet, so radius of circle will be half of 21 feet.

\text{Radius}=\frac{\text{21 feet}}{2}

\text{Radius}=\text{10.5 feet}

\text{Area of circle}=\pi r^2

\text{Area of circle}=\pi (\text{10.5 feet})^2

\text{Area of circle}=3.14*110.25\text{ feet}^2

\text{Area of circle}=346.185\text{ feet}^2

\text{Area of circle}\approx 346.19\text{ feet}^2

Therefore, 346.19 square feet of flooring will be required.

3 0
3 years ago
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Answer:

Step-by-step explanation:

(2(6) - 3(10)^2)/(|6 - 10)|

(12 - 300)/|-4|

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3 years ago
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Sandy is working with a carpenter to frame a house. They are using 8 foot long boards but each board must be cut to be 7 feet, 1
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The answer is 5/4 in

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The final length:
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