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Ymorist [56]
3 years ago
11

Why is the first step in solving the inequality to use the Distributive Property instead of working inside the parentheses?

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0
Because it makes sure that you do it on both sides.
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A ball bounces back 0.6 of its height on every bounce. If the ball is dropped from 200 feet, how high does it bounce on the fift
ryzh [129]
200*((0.6)^5)=200*<span>0.07776=15.552 feet</span>
6 0
3 years ago
You have two jobs. You earn $8 for each hour x that you work as a restaurant host and $6 for each hour y that you work as a hair
Yanka [14]
SOLUTION:

a ) Write an equation in standard form that models your earnings.

8x + 6y = $114


b ) You worked 10 hours as a hair washer. How many hours did you work as a host?


8x + 6y = $114

8x + 6 ( 10 ) = 114

8x + 60 = 114

8x = 114 - 60

8x = 54

x = 54 / 8

x = 27 / 4 hours

x = 6.75 hours

x = 6 hours and 45 minutes
3 0
4 years ago
8 students are competing for first, second, third and fourth violin chair in the school’s orchestra. How many different ways can
kolezko [41]

Answer:

1,680

Step-by-step explanation:

There are 8 students to choose for the first chair. After we choose one, we have 7 students to choose from for the second chair, 6 for the third chair, etc.

8 * 7 * 6 * 5 = 1680 (ans)

4 0
3 years ago
A 16-oz jar of spaghetti sauce cost $3.59. if the cost per ounce is the same, how much would a 40-oz jar cost?
mario62 [17]

Answer:

B.$8.98

Step-by-step explanation:

We need to determine the cost per ounce.  We divide the cost by the number of ounces

3.59/16 =.224375 per ounce

Take the price per ounce and multiply by the number of ounces to determine the price of the 40 ounce jar

.224375 * 40 =8.975

Rounding to the nearest cent

8.98 for a 40 ounce jar

4 0
4 years ago
A pot is being used to boil off 1 kg of water. The specific energy required to cause the phase change is 2297 kJ/kg. Assuming th
Daniel [21]

Answer:

58 seconds

Step-by-step explanation:

Given:

Initial mass of water = 1 kg

Specific energy = 2297 kJ/kg

Heat supplied by the stove = 20 kJ/s

Now,

Half water is to be vaporized i.e 0.5 kg

Thus, heat required for vaporizing 0.5 kg water = mass × specific heat

or

heat required for vaporizing 0.5 kg water = 0.5 × 2297 = 1148.5 kJ

Therefore,

time taken to provide the required heat = \frac{\textup{Heat required}}{\textup{Heat supplied per second}}

or

time taken to provide the required heat = \frac{\textup{1148.5 kJ}}{\textup{20 kJ/s}}

or

time taken to provide the required heat = 57.425 ≈ 58 seconds

8 0
3 years ago
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