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S_A_V [24]
3 years ago
15

Find the rate, write an equation to represent the relationship, and then solve the problem. Include all three parts in your answ

er. Ana scores 33 points in 3 basketball games. If she continues at the same rate, how many points will she score in 5 basketball games?
Mathematics
1 answer:
Savatey [412]3 years ago
7 0

Rate = Total points scored /  total games:

Rate = 33 points / 3 games = 11 points per game.

The equation for total points (y) would be to multiply 11 by the number of games played (x).:

y = 11x

For 5 games, replace x with 5 and solve:

y = 11(5)

y = 55 total points.

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7k-8k=-15 true false open?
zloy xaker [14]

Answer: False

Hope it's helful

Step-by-step explanation:

7 0
4 years ago
Nilsa is working on a 60 minute math test. There are 20 questions on the test. If it takes her 20 minutes to complete 12 of the
nadezda [96]
She can't spend more than 5 minutes on each of the remaining 8 questions.

It's a 60-minute test in which she has spent 20 minutes answering 12 questions. That means that there are 40 minutes remaining (60-20) to answer the remaining 8 questions. That's 40 divided by 8 = 5.
8 0
3 years ago
Integrate 1 - x / x(x2 + 1) d x by partial fractions.
solniwko [45]

Answer:

log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x

Step-by-step explanation:

step 1:-   by using partial fractions

[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }......(1)

<u>step 2:-</u>

solving on both sides

1-x=A(x^{2} +1)+(Bx+C)x......(2)

substitute x =0 value in equation (2)

1=A(1)+0

<u>A=1</u>

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

<u>-</u>1  =  C

<u>step 3:-</u>

substitute A,B,C values in equation (1)

now  

\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 }  d x -\int\limits \frac{1}{x^{2}+1 }  d x

by using integration formulas

i)  by using \int\limits \frac{1}{x}   d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\.....(b)

\int\limits tan^{-1}x  dx =\frac{1}{1+x^{2} } +C.....(c)

<u>step 4:-</u>

by using above integration formulas (a,b,and c)

we get answer is

log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x

6 0
3 years ago
V + 9 over 3= 8<br> what is v?
stira [4]
V= 15 steps are down below

6 0
3 years ago
Read 2 more answers
Hamad wants to buy a video game with a selling price of $55, on sale for 40% off. The sales tax in his state is 3.5%. How much w
Readme [11.4K]

Answer:

34.16

Step-by-step explanation:

55x.40=22 discount

55-22=33 sales price

33x.035=1.16 sales tax

33+1.16=34.16 total price

4 0
3 years ago
Read 2 more answers
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