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vfiekz
14 days ago
7

Nik needs to estimate how many books will fit in a bin. Each book is 1 ft tall, 0.5 ft wide, and 0.1 ft thick. The bin is 5 feet

wide, 2 feet tall, and 3 feet deep. Based on volume only, about how many books will fit in the bin?
Mathematics
1 answer:
lawyer [4K]14 days ago
6 0

Answer:

600 books

Step-by-step explanation:

The dimensions of the bin are

5 by 2 by 3

The volume of the bin is found by multiplying these three dimensions.

Volume of Bin = 5 * 2 * 3 = 30 cubic feet

To find the volume of each book, we use the same method. The dimensions of one book are:

1 by 0.5 by 0.1

Volume of 1 book = 1 * 0.5 * 0.1 = 0.05 cubic feet

The total number of books fitting into the bin is calculated by:

30/0.05 = 600 books

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For each store what is the ratio of the number of cans to the price? Super saver 12 pack 4 for $10, shop smart 24 pack 2 for $9,
tester [3916]

At Super Saver, 4 packs are priced at $10, which gives us 12 × 4 = 48 cans for ratio calculation. The ratio translates to 48 cans for $10, or 4.8 cans per dollar. For Shop Smart, similarly, 24 × 2 results in 48 cans priced at $9, creating a ratio of 48 cans for $9, or 5 1/3 cans per dollar. At Price Busters, 12 × 3 results in 36 cans for $9, translating to a cost of 3 cans per dollar. Overall, Shop Smart offers the best value per can, followed by Super Saver, and lastly Price Busters.

4 0
7 days ago
Oscar rides his skateboard 5/8 mile in 1/4 hour. How fast, in miles per hour, does he ride his skateboard?
Inessa [3907]

Answer:

The speed is 2 1/2 miles per hour.

Step-by-step explanation:

To determine the rate, divide the distance by the time taken.

5/8 mile ÷ 1/4 hour

Applying the copy dot flip method:

5/8 * 4/1

Gives us 5/2 miles per hour.

Which simplifies to 2 1/2 miles per hour.

5 0
8 days ago
The endpoints of CD are C(3,−5) and D(7, 9).<br> The coordinates of the midpoint M of CD are?
Inessa [3907]

Answer:

M(5,2)

Step-by-step explanation:

We apply the midpoint formula:

( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )

The arithmetic average of the x and y coordinates is needed.

The coordinates for points C and D are C(3,−5) and D(7, 9).

By substituting these values, we obtain:

( \frac{7 + 3}{2}, \frac{9 + - 5}{2} )

( \frac{10}{2}, \frac{4}{2} )

(5, 2)

Thus, the midpoint coordinates M of segment CD are (5,2)

3 0
11 days ago
Lourdes plans to jog at least 1.5 miles. Lourdes averages 3.75 mph pace when she jogs write and solve an inequality to find x, t
lawyer [4008]

Answer:

Step-by-step explanation:

"At least" indicates a minimum requirement, hence we will utilize this notation. Our aim is to formulate an inequality that connects the distance Lourdes plans to jog with her jogging time multiplied by speed, as time multiplied by speed equates to distance.

We formulate the inequality as 1.5 ≤ 3.75x.

This indicates that 1.5 will consistently be less than or equal to the distance she jogs. Please ask if you need clarification. Following this, proceed to solve for x.

4 0
7 days ago
On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above
Inessa [3907]

Answer:

y\geq\frac{1}{3}x-1

Step-by-step explanation:

A solid straight line with a positive slope passes through points (0, -1) and (3, 0).

Determine the slope of the solid line.

m=(0+1)/(3-0)\\\\m=\frac{1}{3}

The equation in slope-intercept format for the solid line is

y=mx+b

we have

m=\frac{1}{3}

b=-1 ---> the problem presented

insert values

y=\frac{1}{3}x-1

The area above and to the left of the line is shaded.

Thus, the corresponding inequality is

y\geq\frac{1}{3}x-1

8 0
1 day ago
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