The height of a triangle is one-third of its base. If the area is 121.5ft^2, what is the height of the triangle?

Answers

Answer 1

Answer:

it’s too long to explain so just look at the picture, hope it helps.

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Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the field together, how long will it take them?

Answers

First, combine all the hours they can clear the football field, 3 hours by Tiana plus 2 hours by Jacob, a total of 5 hours. Then get the average hours that it would take them to clear a football field by dividing 5 hours by 2. So, it will take them 2.5 hours to clear the football field together.

A really quick way to solve problems like this. (where you have separate hours for individuals, and are asked to get the time it takes when combined is.) In this case: Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the field together, how long will it take them? set up a fraction where total hours multiplied/total hours added up in this case would be 6/5, just convert to hours and minutes.

7 1/5 x 10 5/12
Please solve

Answers

70 5/60

hope this helps

Change to improper fractions.
(36/5) * (125/12)
Cross simplify.
(3/1)* (25/1) = 75

Sue buys 5 pieces of fabric.Each piece is 1 7/10 yards long.What is the total length of the fabric she buys?One yard of the fabric costs $5.How much does she pay for all 5 pieces of fabric?

Answers

Answer:

1. 8.5 yards.

2. $42.5

Step-by-step explanation:

We have been given that Sue buys 5 pieces of fabric. Each piece is $1(7)/(10)$ yards long.

1. To find the total length of fabric bought by Sue we will multiply length of each fabric piece by 5.

$\text{Total length of the fabric}=5* 1(7)/(10)\text{ yards}$

$\text{Total length of the fabric}=5* (17)/(10)\text{ yards}$

$\text{Total length of the fabric}=(17)/(2)\text{ yards}$

$\text{Total length of the fabric}=8.5\text{ yards}$

Therefore, Sue bought 8.5 yards of fabric.

2. 1 yard of fabric costs $5.

So 8.5 yards of fabric will cost : 5*8.5

$\text{Total cost of the fabric}=5* 8.5$

$\text{Total cost of the fabric}=42.5$

Therefore, the cost of total fabric bought by Sue is $42.5.

Ten plus eight times a number a equals eleven times another number d minus six solve for a

Answers

Answer:

$a=(11d-16)/(8)$

Step-by-step explanation:

We have been given a word phrase. We are asked to write an equation and solve for 'a'.

Eight times the number 'a' would be $8a$ .

Ten plus eight times a number 'a' would be $10+8a$ .

Eleven times another 'd' would be $11d$ .

Eleven times another 'd' minus six would be $11d-6$ .

Equate both expression:

$10+8a=11d-6$

$10-10+8a=11d-6-10$

$8a=11d-16$

$(8a)/(8)=(11d-16)/(8)$

$a=(11d-16)/(8)$

Therefore, the value of 'a' is $(11d-16)/(8)$ .

So your equation would be 8a+10=11d-6First: you would combine like terms so normally you would take away the smaller number. So to cancel out the negative 6 you added you add positive six to the negative 6 so you would get 0 and whatever you do to one side you have to do to the other so you would do 10 + 6. Your new equation would be 8a+16=11d. Now you do -16 to both sides. So your new equation would be 8a= 11d - 16. Now you divide by 8. So your final equation would be a=11d-2.

The turning of a figure or object about a fixed point is called:

Answers

I dont know im so sorry so i think its easy if you search it up!

Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x? Choose 3 answers: Choose 3 answers: (Choice A) A y=9xy=9xy, equals, 9, x (Choice B) B 2y=18x2y=18x2, y, equals, 18, x (Choice C) C (Choice D) D xxx yyy 333 \dfrac{1}{3} 3 1 start fraction, 1, divided by, 3, end fraction 666 \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction 999 111 (Choice E) E xxx yyy 222 181818 444 272727 666 363636

Answers

Answer:

A, B and C

Step-by-step explanation:

In the equation: 3y=27x

Making y the subject of the equation, we have:

$y=(27)/(3)x\ny=9x$

The constant of proportionality between y and x is 9.

We want to determine which relationships have the same constant of proportionality 9.

Option A

y=9x

The constant of proportionality is 9.

Option B

2y=18x

Divide both sides by 2 to obtain: y=9x

The constant of proportionality is 9.

Option C

x=3, y=1/3

Substitution into y=kx gives:

1/3=3k

k=9

The constant of proportionality is 9.

Option D

x=6, y=2/3

Substitution into y=kx gives:

2/3=6k

k=2/3*6=4

The constant of proportionality is 4.

Option E

When x=2, y=18

Substitution into y=kx gives:

18=2k

k=9

However, when x=4, y=27

Substitution into y=kx gives:

27=4k

k=6.75

This is not a proportional relation since the constant of proportionality is not equal.

The correct options are A, B and C

The Proportional relationships y = 9x, 2y = 18x, and y = (1/3)x have the same constant of proportionality as the equation 3y = 27x.

The equation 3y = 27x represents a proportional relationship between y and x with a constant of proportionality of 9. To determine which relationships have the same constant of proportionality, we can compare the ratios of y to x in the given options.

A) y = 9x: The ratio of y to x is 9, which is the same as the constant of proportionality in the original equation. So, this option has the same constant of proportionality.

B) 2y = 18x: Dividing both sides of the equation by 2, we get y = 9x, which has the same constant of proportionality. Therefore, this option also has the same constant of proportionality.

D) y = (1/3)x: The ratio of y to x is 1/3, which is different from the constant of proportionality in the original equation. Therefore, this option does not have the same constant of proportionality.

So, the correct answers are A) y = 9x, B) 2y = 18x, and D) y = (1/3)x.

For more such questions on Proportional relationships, click on:

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