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geniusboy [140]

3 years ago

13

Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number. 2(P +1) +

3(P + 2 ) > 2

1 answer:

Darina [25.2K]3 years ago

6 0

Answer:

$P>-\frac{6}{5}$

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont't contain the variable.

$2(P+1)+3(P+2)>2$

$2P+2+3P+6>2$

$5P+8>2$

-8 -8

$5P>-6$

Divide both sides by 5.

$P>-\frac{6}{5}$

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According to Chef Robert Sevaly, pressure cookers "really are a timesaver, cutting your cooking time by three-fourths." If a per

solniwko [45]

Answer:

1. Cooking time saved in a month = 42.86 * 3/4 = 32 hours

2. Cooking time saved in a year = 520 * 3/4 = 390 hours

3. Since the household saves 390 hours in a year using pressure cooker, it will then save 390 * $2 = $780

Step-by-step explanation:

Hours spent cooking on average per week = 10 hours

Hours spend cooking on average per day = 1.43 (10/7), assuming 7 days in a week

Total hours spent on average per month = 42.86 (30 * 10/7), assuming 30 days in a month

Total hours spent on average per year = 520 (52 * 10) hours, assuming 52 weeks in a year.

Savings in time = 3/4

Therefore, the cooking time saved in a month = 42.86 * 3/4 = 32 hours

And the cooking time saved in a year = 520 * 3/4 = 390 hours

If on the average, a household spends $20 in natural gas for cooking per month, the money it would save by using a pressure cooker in a year will be equal to:

Cost of each hour of cooking without pressure cooker = $20/10 = $2 per hour

Since the household saves 390 hours in a year using pressure cooker, it will then save

= Hours saved multiplied by hourly cost of gas

= 390 * $2

= $780

6 0

3 years ago

Solve or check ' whether your answer is correct or not 3x -9=12

Kruka [31]

Answer:

x = 7

Step-by-step explanation:

3x - 9 = 12

3x = 12 + 9

3x = 21

x = 21 ÷ 3

x = 7

5 0

3 years ago

Read 2 more answers

Write the formula for a function d(x) that describes the distance between the point P and a point (x,y) on the line. You final a

vlabodo [156]

Answer:

d(x) = √[(x - 2)² + (3x - 1)²]

Step-by-step explanation:

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, the distance between point (2,0) and a point (x,y)

d = √[(x - 2)² + (y - 0)²]

d = √[(x - 2)² + (y)²]

But the point (x,y) is on the line y = 3x - 1

We can substitute for y in the distance between points equation.

d(x) = √[(x - 2)² + (3x - 1)²]

QED!

6 0

3 years ago

Α + 4/5 = 3<br> Solve for a to make the proportion true

Natali5045456 [20]

4/15 should be your answer!

5 0

2 years ago

Read 2 more answers

Solve for b, then solve for each angle in the triangle

lesya692 [45]

We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:

$b+2b+(b+16)=180$

then, solving for b, we get:

$\begin{gathered} b+2b+(b+16)=180 \\ \Rightarrow4b+16=180 \\ \Rightarrow4b=180-16=164 \\ \Rightarrow b=\frac{164}{4}=41 \\ b=41 \end{gathered}$

now that we have that b = 41, we can find the measure of each angle:

$\begin{gathered} b=41 \\ 2b=2(41)=82 \\ b+16=41+16=57 \end{gathered}$

7 0

11 months ago