Paul's average for 3 tests was 85. The average of his scores for the first 2 tests was also 85. What was his score for the third test?

Answers

Answer 1

Answer: the third test had a score of 85

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If a/b = c/d , b ≠ 0, and d ≠ 0, then ad = ______ by the Means-Extremes Product Property.

Answers

$(a)/(b)=(c)/(d)\nad=bc$

$(a)/(b)=(c)/(d) \ \ \ |* b \na=(bc)/(d) \ \ \ |* d \nad=bc$

If a/b=c/d (b≠0 and d≠0), then ad=bc.

Question 1 Coach Johnson is 10 years older than Tim. When Tim started football 3 years ago, Coach Johnson was twice his age. How old is Tim now?

Numerical Answers Expected!

Answer for Blank 1:
Question 2 Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.

x - 62,500 = 0.25y

If a total of 125,000 people voted, how many votes did Maya receive?

Numerical Answers Expected!

Answers

Question 1:
x - Tim`s age, y - Coach Johnson`s age:
x + 10 = y
2 * ( x - 3 ) = y - 3
-----------------------
2 x - 6 = x + 10 - 3
2 x - x = 7 + 6
x = 13
Tim is 13 years old.
Question 2:
x - 62,500 = 0.25 * 125,000
x - 62,500 = 31,250
x = 31,250 + 62,500
x = 93,750
Maya received 93,750 votes.

A store sells new video games for $45 each. Used video games sell for $18 each. Alex is buying 2 new video games and x used video games. Which equation can be used to find y, the total price Alex must pay in dollars?

Answers

Answer:

u = t/18 - 5

Step-by-step explanation:

45n + 18u = t where t is the total price, n is the number of new video games, and u is the number of used video games

plug in two:

90 + 18u = t

solve in terms of u:

18u = t - 90

u = t/18 - 5

can i get a thanks and brainliest please?

Jack bought 5 pairs of socks for $12.50. At this rate, how much would 12 pairs of socks cost?

Answers

I got $30 for my answer I think it’s correct

Answer: $30

Step-by-step explanation:

5 pairs of socks cost 12.50 you divide 12.50 by 5 and you how much each pair of socks cost which is 2.5 which is 2.50 each pair of socks is 2.50 so now you multiply 2.50 by 12 and you get $30

. Let A = (−2, 4) and B = (7, 6). Find the point P on the line y = 2 that makes the total distance AP + BP as small as possible.

Answers

Answer:

P(1,2)

Step-by-step explanation:

There are 2 points.

A(-2,4) and B(7,6)

the point P on the y=2 can also represented as P(x,2)

We can use the distance formula to find the distances AP and BP

$\text{dist} = √((x_1 - x_2)^2 + (y_1 - y_2)^2)$

for AP: A(-2,4) and P(x,2)

$AP = √((-2 - x)^2 + (4 - 2)^2)$

$AP = √((-2 - x)^2 + 4)$

$AP = √((-1)^2(2 + x)^2 + 4)$

$AP = √((2 + x)^2 + 4)$

for BP: B(7,6) and P(x,2)

$BP = √((7 - x)^2 + (6 - 2)^2)$

$BP = √((7 - x)^2 + 16)$

the total distance AP + BP will be

$√((2 + x)^2 + 4)+√((7 - x)^2 + 16)$ (plot is given below)

Our task is to find the value of x such that the above expression is small as possible. (we can find this either through plotting or differentiating)

If you plot the above equation, the minimum point of the curve will be clearly visible, and it will be at x = 1. Hence, the point P(1,2) is such that the total distance AP + BP is as small as possible.

Final answer:

The point P that makes the total distance AP + BP smallest on the line y=2 is given by the x-coordinate of the midpoint of A and B because the shortest distance is in a straight line. Therefore, the point P is (2.5, 2).

Explanation:

To find the point P on the line y = 2 that makes the total distance AP + BP the smallest, you need to recall that the shortest distance between two points is a straight line. So, ideally, we want to find a point P (x,2) that is on the same vertical line (or x-coordinate) that intersects the line AB at the midpoint.

Step 1: Find the midpoint of A and B. The midpoint M is obtained by averaging the x and y coordinates of A and B: M = ((-2+7)/2 , (4+6)/2) = (2.5, 5).

Step 2: Since line y = 2 is horizontal, the x-coordinate of our point P will stay the same with the midpoint x-coordinate. Therefore, P has coordinates (2.5, 2).

So, the point on the line y = 2 that makes the total distance AP + BP as small as possible is P (2.5, 2).

Learn more about Point here:

brainly.com/question/16410393

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Find the product of (4x − 3)(2x2 − 7x + 1). 8x3 − 22x2 + 17x− 3

8x3 + 8x2 + 4x − 3

8x3 − 34x2 + 25x − 3

8x3 − 42x2 + 25x − 3

Answers

$(4x - 3)(2x^2 -7x + 1)=\n\n(4x)(2x^2) - (4x)(7x) + (4x)(1) - (3)(2x^2) + (3)(7x) - (3)(1) =\n\n8x^3-28x^2 + 4x - 6x^2+21x-3=\n\n8x^3-34x^2+25x-3$

The correct answer is C.

Find the product of (4x − 3)(2x2 − 7x + 1).

Answer:

8x3 − 34x2 + 25x − 3

(Took the exam)

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