Martin burns 360 calories running for 30 minutes. Paul burns 165 calories for every 15 minute he runs. If Kara runs for 20 minutes, how many calones would she have to burn to have a rate calories burned per minute of running that is between Martin and Paul? Please explain and give evidence.

Answers

Answer 1

Answer:

Answer: She would have to burn between 220 and 240 calories per minute to have a calorie burn rate between those of Martin and Paul.

Step-by-step explanation:

Martin:

360 calories / 30 min = 12 calories/min

Paul:

165 calories / 15 min = 11 calories/min

Kara:

Needs to burn between 11 and 12 calories/min, so we'll calculate the range:

11 calories/min x 20 min = 220 calories (minimum # calories she can burn)

12 calories/min x 20 min = 240 calories (maximum # calories she can burn)

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Suppose that a typical household in the United States has an average after-tax income of $41,100. The circle graph below represents how this annual income is(Vote it is because of rounding that the percents do not add up to 100.) How much more is spent on insurance/pensions than on health care?
Entertainment
Health Care en
5%
5%
Clothing
Housing
33%
Insurance/
Pensions
9%
Other
11%
Food
14%
Transportation
17%

Answers

Answer:

$1644.

Step-by-step explanation:

We have been a typical household in the United States has an average after-tax income of $41,100. We are asked to find how much more is spent on insurance/pensions than on health care.

We have been given that 5% is spent on health care and 9% is spent on insurance/pensions. This means that 4% (9%-5%) is more on insurance/pensions than on health care.

Now, we need to find 4% of $41,100.

$\text{Amount more spent on insurance/pensions than on health care}=(4)/(100)* \$41,100$

$\text{Amount more spent on insurance/pensions than on health care}=4* \$411$

$\text{Amount more spent on insurance/pensions than on health care}=\$1644$

Therefore, $1644 is more spent on insurance/pensions than on health care.

Answer:

9% + 5%

Step-by-step explanation:

Solve -2=4r+s solve for s please.

Answers

-2=4r+s
-2-4r=s
s=-4r-2
To solve for "s", you'd need a value for the "r" variable. This is the simplified version of an equation.

S = -2-4r. You can't simplify the expression past that.

What is -6x-4+(2x+-8

Answers

Answer:

-4x+4

Step-by-step explanation:

(2+2)^5 + (8+3)^5 Divided by 10?

Answers

Exact form: 32415/2
Decimal form: 16207.5

There are chickens and pigs in a farm yard? There are 68 feet and 23 tails in the farm yard. How many chickens and how many pigs does grandma have?

Answers

You have animals with 4 legs, and animals with 2 legs. Both animals only have one tail. So, given that they only have one tail, there are only 23 animals in the farmyard.
Now, the equation would be,
$(68)/(x) =23$
$68=23x$
$(68)/(23) =x$

Answer:

12 chickens and 11 pigs

Step-by-step explanation:

We know that...

Chickens have 2 feet and 1 tail.

Pigs have 4 feet and 1 tail.

Let c represent chickens.

Let p represent pigs.

We need to create two equations. One for feet, and one for tails.

Tails:

Because each animal has 1 tail, we can say that the number of pigs, (p) plus the number of chickens, (c) must equal 23. So...

c + p = 23

Feet:

Because each chicken has two feet, and each pig has 4 feet, we can say that 2 times the number of chickens, (c) plus 4 times the number of pigs, (p) needs to equal 68. So...

2c + 4p = 68

Now we have two equations.

2c + 4p = 68

and

c + p = 23

We can use the substitution method to find c and p. The substitution method involves solving for one of the variables with one of the equations, then placing it into the other equation, so that you only have one variable to solve for, which you can do with simple algebra.

Solve for c

c + p = 23

c = 23 - p

Add that to the other equation.

2c + 4p = 68

2(23 - p) + 4p = 68

Solve for p

46 - 2p + 4p = 68

46 + 2p = 68

2p = 22

p = 11

Now that we know p, we can plug that into one of the equations to find c.

c + p = 23

c + (11) = 23

c = 12

Now we have c and p.

There are 12 chickens and 11 pigs on the farm.

What is an equation of the line in slope-intercept form? m = two-sevenths and the y-intercept is (0, –12)A. y =two-seventhsx+ 12
B. y = two-seventhsx – 12
C. y = 12x–two-sevenths
D. y = 12x + two-sevenths

Answers

Answer:

y = (2/7)x -12 (Answer Choice B)

Step-by-step explanation:

Take the given values ( m=2/7 and y-intercept (0,-12) ) and substitute them into y = mx + b:

y = (2/7)x -12

Final answer:

The equation of a line in slope-intercept form, given the slope is two-sevenths and the y-intercept is (0, -12), is y = (two-sevenths)x - 12. So, the correct answer is B: y = two-seventhsx – 12.

Explanation:

The equation of a line in the slope-intercept form is usually represented as y = mx + b, where 'm' represents the slope of the line, and 'b' is the y-intercept. In your given conditions, the slope 'm' is given to be two-sevenths and the y-intercept as (0, –12). Therefore, replacing these values in the general slope-intercept equation will give you the specific equation of the line: y = (two-sevenths)x - 12. So, the correct answer is B: y = two-seventhsx – 12. This equation tells you that for each step you move to the right on the x-axis, you move two-sevenths steps up or down on the y-axis, beginning from the point where y is -12.