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Georgia [21]
4 years ago
15

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

son spends an average of 10 hours cooking per week, how much cooking time would be saved in a month and a year, respectively? If an average household spends 20$ in natural gas for cooking per month, how much money would be saved by using a pressure cooker in one year?
Mathematics
1 answer:
solniwko [45]4 years ago
6 0

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

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Gre4nikov [31]

Answer:

a = (p - 3b)/10

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction).

p = 10a + 3b

First, subtract 3b from both sides.

p (-3b) = 10a + 3b (-3b)

p - 3b = 10a

Next, isolate the a. Divide 10 from both sides.

(p - 3b)/10 = (10a)/10

(p - 3b)/10 = a

a = (p - 3b)/10 is your answer.

~

5 0
4 years ago
Given the production function
pishuonlain [190]
The production function describes a boundary or frontier representing the limit of output obtainable from each feasible combination of inputs. The production function also gives information about increasing or decreasing returns to scale and the marginal products of labor and capital.
7 0
2 years ago
A sample survey interviews SRSs of 500 female college students and 550 male college students. Researchers want to determine whet
stira [4]

Answer:

Option (d) and (e)

Step-by-step explanation:

We are given that a sample survey interviews SRS of 500 female college students and 550 male college students. And Researchers want to determine whether there is a difference in the proportion of male and female college students who worked for pay last summer.

In all, 410 of the females and 484 of the males say they worked for pay last summer.

From this, Null Hypothesis, H_0 : p_1 = p_2 {means proportion of male and female college students who worked for pay last summer are same}

Alternate Hypothesis, H_1 : p_1\neq p_2 {means there is a difference in the proportion of male and female college students who worked for pay last summer}

Now, since we know that results were statistically significant at the 1% level.

So, if p-value is less than the significance level ⇒ we will reject H_0

     if p-value is more than the significance level ⇒ we will not reject H_0

From the options given it is sure that P-value is less than 1%,i.e.;

<em>P-value is less than the significance level, so we will reject null hypothesis and conclude that there is convincing evidence that the proportion of all male college students in the study who worked for pay last summer is different from the proportion of all female college students in the study who worked for pay last summer. </em>

Also, option (d) and (e) are same in my opinion.

4 0
3 years ago
GJ is a midsegment of triangle DEF, and HK is a midsegment of triangle GFJ. What is the length of HK?
loris [4]

Answer:

Option B) 4 centimeters

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of n

we know that

a) GJ is a midsegment of triangle DEF

then

G is the midpoint segment DF and J is the midpoint segment EF

DG=GF and EJ=JF

b) HK is a midsegment of triangle GFJ

then

H is the midpoint segment GF and K is the midpoint segment JF

GH=HF and JK=KF

In this problem we have

HF=7 cm

so

GH=7 cm

GF=GH+HF ----> by addition segment postulate

GF=7+7=14 cm

Remember that

DG=GF

substitute the given values

2n-1=14

solve for n

2n=14+1

2n=15

n=7.5\ cm

step 2

Find the length of GJ

we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

so

GJ=\frac{1}{2}DE

we have

GE=2n+1=2(7.5)+1=16\ cm

substitute

GJ=\frac{1}{2}16=8\ cm

step 3

Find the length of HK

we have that

HK=\frac{1}{2}GJ ----> by the midpoint theorem

we have

GJ=8\ cm

substitute

HK=\frac{1}{2}8=4\ cm

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Answer:

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