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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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The following figures are similar. They are both the same shape, One is just bigger.
6 0
4 years ago
5. From 13 friends to 14 friends
LUCKY_DIMON [66]

Answer:

That would be 1

Step-by-step explanation:

To get 13 out of 14 you must add 1.

7 0
2 years ago
It costs $38 for 2 people to go to the movie theater. 40% of the money was for snacks.What was the cost of each movie ticket?
stira [4]

Answer:

11.4

Step-by-step explanation:

40% of 38 is 15.2, 38-15.2=22.8. 22.8/2=11.4 (since there's two people)

4 0
3 years ago
The general solution to the second-order differential equation y′′+10y=0 is in the form y(x)=c1cosβx+c2sinβx. Find the value of
allsm [11]

Answer:β=√10 or 3.16 (rounded to 2 decimal places)

Step-by-step explanation:

To find the value of β :

  • we will differentiate the y(x) equation twice to get a second order differential equation.
  • We compare our second order differential equation with the Second order differential equation specified in the problem to get the value of β

y(x)=c1cosβx+c2sinβx

we use the derivative of a sum rule to differentiate since we have an addition sign in our equation.

Also when differentiating Cosβx and Sinβx we should note that this involves function of a function. so we will differentiate  βx in each case and multiply with the differential of c1cosx and c2sinx respectively.

lastly the differential of sinx= cosx and for cosx = -sinx.

Knowing all these we can proceed to solving the problem.

y=c1cosβx+c2sinβx

y'= β×c1×-sinβx+β×c2×cosβx  

y'=-c1βsinβx+c2βcosβx

y''=β×-c1β×cosβx + (β×c2β×-sinβx)

y''= -c1β²cosβx -c2β²sinβx

factorize -β²

y''= -β²(c1cosβx +c2sinβx)

y(x)=c1cosβx+c2sinβx

therefore y'' = -β²y

y''+β²y=0

now we compare this with the second order D.E provided in the question

y''+10y=0

this means that β²y=10y

β²=10

B=√10  or 3.16(2 d.p)

5 0
3 years ago
I just started the problem, but I'm a bit lost on what to do now.
borishaifa [10]
According to Greg himself (probably a master at pies) says perfect cherry pies have a ratio of 240 cherries to 3 pies. First, we need to divide 240 cherries by 3 pies to find out how many cherries are in one pie.

240 / 3 = 80

Then multiply by 9 to get your answer.

9 * 80 = 720
8 0
3 years ago
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