A team of runners is needed to run a 1/3 mile relay race. If each runner must run 1/9 mile, how many runners will be needed.

Answers

Answer 1
Answer: Three runners will be needed. 1/3 is .3 and 1/9 is .1 since they all need to do 1/9 of a mile that makes the answer 3.
Answer 2
Answer:

Answer: 3

Step-by-step explanation:


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An infant is 32.625 inches (in) long. Write this as a common fraction.
a 3-inch candle burns down in 12 hours.Assuming the candles are the same thickness and make (that is, directly proportional),how long would it take for a 1-inch candle to burn down?
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What is the difference of the polynomials? (m^2n^2-7)-(mn+4)Answer choicesmn – 11mn + 3m^2n^2-mn-11m^2n^2-mn-3

the number of hours that college freshman spend studying each week is normally distributed with a mean of 8 hours and a standard deviation of 5.5 hours. what percentage of students spend between 2.5 and 19 hours each week?

Answers

The answer would be

81.5%

the smiths spend 6% of their budget on entertainment. their total budget this year is $1,000 more than last year, this year they plan to spend $2,820 on entertainment. what was their total budget last year?

Answers

Answer: Their total budget last year was $40,000.
Step-by-step explanation:
Given : The Smiths spend 6% of their budget on entertainment.
i.e. , The money they spend on entertainment = 0.06 x ( Total budget)
{ 6% is converted to 0.06 , when we divide it by 100 to remove percentage)
Since , this year they plan to spend $2,580 on entertainment.
i.e. 0.06 x ( Total budget ) = $2,580
On dividing both sides by 0.06 , we get
( Total budget ) = $2,580 ÷ 0.06
= $43,000
Thus , their total budget for this year = $43,000
Also, Their total budget this year is $3,000 more than last year.
Therefore , their last year total budget = ( Total budget this year ) - $3000
= $43,000 - $3000
= $40,000
Hence, their total budget last year was $40,000.

Hope this helps! Also can I have brainliest? It’s ok if no :) have a nice day.

Which of the following describes the graph of f–1(x)?A.The graph of f–1(x) is the reflection of the graph of f(x) in the line y = –x.
B. The graph of f–1(x) is the reflection of the graph of f(x) in the y-axis.
C. The graph of f–1(x) is the reflection of the graph of f(x) in the x-axis.
D. The graph of f–1(x) is the reflection of the graph of f(x) in the line y = x.

Answers

The best and most correct answer among the choices provided by the question is the third choice. The statement that describes the graph is "The graph of f–1(x) is the reflection of the graph of f(x) in the x-axis. " I hope my answer has come to your help. God bless and have a nice day ahead!

Factor each polynomial  5xy-10x

Answers

5xy-10x=5x(y-2)\n\ncheck:\n\n5x(y-2)=5x\cdot y+5x\cdot(-2)=5xy-10x

Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?

Answers

Answer:

\cos (a-b)=\cos a \cos b+\sin a \sin b

Step-by-step explanation:

 Given : \cos (180^(\circ)-q)=-\cos q

We have to write which identity we will use to prove the given statement.

Consider \cos (180^(\circ)-q)=-\cos q

Take left hand side of given expression \cos (180^(\circ)-q)

We know

\cos (a-b)=\cos a \cos b+\sin a \sin b

Comparing , we get, a= 180° and b = q

Substitute , we get,

\cos (180^(\circ)-q)=\cos 180^(\circ)  \cos (q)+\sin q \sin 180^(\circ)

Also, we know \sin 180^(\circ)=0 and \cos 180^(\circ)=-1

Substitute, we get,

\cos (180^(\circ)-q)=-1\cdot \cos (q)+\sin q \cdot 0

Simplify , we get,

\cos (180^(\circ)-q)=-\cos (q)

Hence, use difference identity to  prove the given result.

cos (180° - q) = -cos q
First you would use the sum and difference formula of 
cos(a – b) = cos(a)cos(b) + sin(a)sin(b) because you have a difference inside the parentheses for cosine.

Hope this helps.

Please help me out with this

Answers

y - y1 = m (x + x1)

Solve for m bgg subtracting the y's and dividing them by the difference of the 2 x's.

-31 - 35 = -66
-6 - 5 = -11

Divide the two to get 6.

Use the first point (as instructed) and plug it into the equation.

y - 35 = 6 (x - 5)

y + [-35] = [6] (x + [-5])

The brackets are the fill in the blanks.