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dmitriy555 [2]
3 years ago
6

Solve the inequality: 3p - 16 < 20

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0

Isolate the p. First, add 16 to both sides

3p - 16 (+16) < 20 (+16)

3p < 36

Next, isolate the p. Divide 3 from both sides

3p/3 <36/3

p < 12

p < 12 is your answer

hope this helps

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Work the following pricing problems for services rendered. (Round to hundredths.) Hourly rate, worker A = $15.00 Hourly rate, wo
svlad2 [7]
Hello there :-)

Total cost of job=retail price of goods+labor cost+overhead

Labor cost
15×2.5+8×1+5.25×(3÷4)
=49.44 this is labor cost

Overhead= labor cost×overhead rate
Overhead=49.44×0.75=37.08

Now find total cost of job
Total cost of job=125.50+49.44+37.08
=212.02....answer

Hope it helps
7 0
3 years ago
Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated? ​
Harrizon [31]

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3.  The length of the vertical segment of the triangle graphed is 2.  Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3.  This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1).  This makes the horizontal segment 5 units long and the vertical segment 4 units long.  This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 3.  This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 4.  This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.

4 0
3 years ago
Look at the equation below.
malfutka [58]
The answer is B -8.1
3 0
3 years ago
Find three numbers such that their sum is 12, the sum of the first, twice the second, and three times the third is 31, and the s
Tpy6a [65]

Answer:

a = 3, b = -1, c = 10

Step-by-step explanation:

Let the three numbers be a, b and c.

Equation 1: a + b + c = 12

Equation 2: a + 2b + 3c = 31

Equation 3: 9b + c = 1

Equation 2 - Equation 1:

Equation 4: b + 2c = 19

Equation 3 times by the number 2

Equation 5: 18b + 2c = 2

Equation 5 - Equation 4

17b = -17

b = -1

Substitute into Equation 4:

2c - 1 = 19

2c = 20

c = 10

Substitute into Equation 1:

a + b + c = 12

a - 1 + 10 = 12

a = 3

8 0
3 years ago
Read 2 more answers
The signs of the product of 263 and 0 is
Mashcka [7]
The answer to the question is 0
6 0
3 years ago
Read 2 more answers
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