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3 years ago

8

A rectangular shoebox has a volume of 728 cubic inches. The base of the shoebox measures 8 inches by 6.5 inches. How long is the

shoebox?

1 answer:

siniylev [52]3 years ago

7 0

Okay to solve this you need to divide the volume to the two measurements
728 ÷ 8 = 91 ÷ 6.5 = 14

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Solve the problem 5x-8<7x-4

kumpel [21]

Answer:

x>-2

Step-by-step explanation:

5x-7x<-4+8

-2x<4

x>-2

5 0

3 years ago

What is the answer to this exponent 6*6*6*6*6

Citrus2011 [14]

Answer:

6^5 or 7776

Step-by-step explanation:

6^5 because 6 is multiplied with 6, 5 times. So, it is 6^5.

We can also simplify this number.

=> 6 x 6 x 6 x 6 x 6

=> 36 x 36 x 6

=> 36 x 216

=> 7776

3 0

3 years ago

Read 2 more answers

A lighthouse is 90 feet tall. A scale model of the lighthouse has a scale of 1 in: 6 ft. How tall is the model of the lighthouse

makkiz [27]

Answer:

15 inches tall

Step-by-step explanation:

To solve I would set up a ratio to visualize the question.

x in : 90 ft

1 in : 6ft

Then divide... 90 ÷ 6 = 15 ( this is the inches in the ratio that compares to 90 ft).

7 0

3 years ago

This figure is made up of a rectangle and parallelogram.

ivann1987 [24]

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.

In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = $\sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}$

, i.e. AD = $\sqrt{[2 - (-6)]^{2} - [1 - (-1)]^{2}}$

, i.e. AD = √68 = 8.246 (rounded to 3 decimals) = l

Now, w = AB = $\sqrt{[x'' - x']^{2} - [y'' - y']^{2}}$

, i.e. AB = $\sqrt{[(-5) - (-6)]^{2} - [(-5) - (-1)]^{2}}$

, i.e. AB = √17 = 4.123 (rounded to 3 decimals) = w

Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

6. Finding area of the parallelogram:

b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

4 0

3 years ago

A large pizza at palanizo pizzeria costs 6.80$ plus 0.90$ for each topping. The cost of a large cheese pizza at guido’s pizza is

r-ruslan [8.4K]

we are going to create a table in excel and we will assign different values of topping to know when the price is equal in both pizzerias

see the attached figure

the answer is

5 toppings from palanzio’s pizzeria

6 toppings from guido’s pizza

cost palanzio’s pizzeria----> 6.80+0.90*5-----> $11.30

cost <span>guido’s pizza------> 7.40+0.65*6----------> $11.30</span>

5 0

3 years ago