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2 years ago

10

The proportional relationship between the number of hours a business operates and its total cost of electricity is shown in the

following graph.

1 answer:

aalyn [17]2 years ago

6 0

Answer:

The answer is A.

Step-by-step explanation:

You might be interested in

7t-4(-x+.5)-12t (simplify)

inysia [295]

Answer:
–5t + 4x – 2

Explanation:
7t – 4(–x + .5) – 12t
combine 7t and – 12
7 – 12 = – 5
– 4(–x +.5) – 5t
Now distribute –4:
4x – 2 – 5t
Rearrange:
4x – 5t – 2
or
5t + 4x – 2

4 0

3 years ago

Please help on both! And please put answer and not a website!

marissa [1.9K]

Answer:

1: 55 2: 40

Step-by-step explanation:

For the first problem, by the triangle angle theorm, the three angles in a triangle add up to 180, so

90+35+x=180

125 + x = 180

x = 55

Now, the angle you just found (x = 55) and the exterior angle are supplementary so they also add up to 180

55 + y = 180

y = 125

For the second problem, the two angles in a triangle non-adjacent to the exterior angle are equal to the exterior angle, so

40 + 2x = 3x

x = 40

3 0

2 years ago

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

8 0

3 years ago

jesse uses 19 beads to decorate each picture frame. In all, Jesse used 133 beads. How many picture frames did Jesse make?

pogonyaev

Use division: 133/19 = 7 picutre frames

4 0

3 years ago

1. A certain store sells 2-liter bottles of pop for $1.19. They have a special on a 6-pack of 12 ounce cans for $1.50. (A 2-lite

Flura [38]

1: 1.19 for 67.2 ounces is about 1.77 cents per ounce. However, $1.50 for 72 ounces is about 2.08 cents per ounce. Clearly, then, the first bottle is cheaper.

2. We simply divide 3/4 by 2 to get (3/4)/2=3/(4*2)=3/8.

3. If the length of the second is 20 feet compared to a 2-foot length for the first, the width of the second rectangle will be ten times the width of the first, so the width of the second rectangle is 10*8=80.

4 0

3 years ago