MATHEMATICS HIGH SCHOOL

It takes Franklin 14 hours to make a 200-square-foot cement patio. It takes Scott 10 hours to make the same size patio. Which equation can be used to find x, the number of hours it would take Franklin and Scott to make the patio together?it needs to be an equation.

Answers

Answer 1

Answer:

It takes Franklin 14 hours to make a 200-square-foot cement patio thus his rate is 1/14 patios per hour

It takes Scott 10 hours to make the same size patio thus his rate is 1/10 patios per hour

let x = the hours they need to make the patio together

the together rate is 1/x patios per hour

now we have

1/14 + 1/10 = 1/x ( equation )

by solving we find:

x = 35/6 hr

x = 5 5/6 hr

x = 5 hr (5/6)*60 min

x = 5 hr 50 min

Franklin and Scott will need 5 hours and 50 minutes to make the patio together.

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The numbers 1 through 50 are written with red marker on slips of paper while the numbers 51 through 100 are written with blue marker on slips of paper. All the papers are put into a bag and shuffled. One card is randomly selected. a. Find the probability of selecting a number less than 81 or a number written in red.

Answers

less than 81 is from 80 to 1
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80%
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Find the value of the expression
2r x s
for r = 2 and s = 4.

Answers

Answer:

Step-by-step explanation:

2rs

Let r=2 and s=4

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If a regular polygon has one exterior angle measuring 1°, then it has_______ sides.

Answers

The measure of the exterior angle of a regular polygon is given by the formula $(360)/(n)$ where $n$ is the number of sides.
To find the number of sides of a polygon with the exterior angle measuring $1^(\circ)$ we have to solve the equation $(360)/(n)=1$ .

$(360)/(n)=1|\cdot n\nn=360$

It has 360 sides.

Please show me how to do it.

Answers

$(8^(2n - 3) * 2^(n - 3))/(4 * 2^(-n + 2)) = (2^(3(2n - 3)) * 2^(n - 3))/(4 * 2^(-n + 2)) = (2^(3(2n) - 3(3)) * 2^(n - 3))/(4 * 2^(-n + 2)) = (2^(6n - 9) * 2^(n - 3))/(2^(2) * 2^(-n + 2)) = (2^((6n - 9) + (n + 3)))/(2^(2 - n + 2)) = (2^((6n + n) + (-9 + 3)))/(2^(-n + 2 + 2)) = (2^(7x + (-12)))/(2^(-n + 4)) = (2^(7x - 12))/(2^(-n + 4)) = 2^(8n - 16)$

Which is a long-term consequence of making late payments on your bills? It will be harder to secure a new loan at a low rate. The balance in your checking account will be negative. There will be a late fee. The number of payments will increase.

Answers

I believe the correct answer from the choices listed above is the first option. A long term consequence of making late payments on your bills would be that it will be harder to secure a new loan at a low rate because of the record you have.
Hope this answers the question. Have a nice day.

Answer:

Step-by-step explanation:

A species of plant experiences exponential growth after it is introduced into an area where it has never been. Which statement best describes exponential growth?

Answers

Answer:

C. Within a few years the population increases dramatically

True. As we can see on the function $A = A_o e^(rt)$ if we increase the time by 10 units for example the final amount is increasing by a factor of $e^(10)=22026.47$ and that represent a dramatically increase.

Step-by-step explanation:

When we have a exponential growth model the general formula is given by:

$A = A_o e^(rt)$

Since says "growth" the rate of increase r>0, $A_o$ represent the initial amount and A the amount after the time t.

Assuming the possible options for the answer. We analyze one by one

A. Each individual plant grows much larger than usual

False, for this model we assume that all the individuals in the population modeled have similar characteristics, because if the individuals are different we can't use a deterministic model like this one.

B. The population immediately decreases

False. We are assuming that the model is for a growth rate so then is not possible to have a decrease.

C. Within a few years the population increases dramatically

D. The specie's reproductive potential declines

False, we are considering a growth model in which it makes no sense to consider that the potential, population or quantity measured decrease.

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