8x = 3x + 15 AND 7x - 1 = 3x + 7

Answers

Answer 1

Answer: solving for x gives
8x = 3x + 15
5x = 15
x = 15/5 = 3

AND
7x - 1 = 3x + 7
4x = 8
x = 8/4 = 2

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Write 2.6 as a mixed fraction
What is the difference between the product of 19 and 3.6 and the sum of 2.87 and 3.5

Thomas is using a drawing program to complete a construction. Which construction could he be completing? Select one of the following:

a. An equilateral triangle inscribed in a polygon
b. A square inscribed in a circle
c. A regular pentagon inscribed in a polygon
d. A regular hexagon inscribed in a polygon

Answers

The right answer for the question that is being asked and shown above is that: "b. A square inscribed in a circle." Thomas is using a drawing program to complete a construction. The construction that could he be completing is a square inscribed in a circle

For questions 1-7, use the following functions to answer the questions: f(x)x^2+5x g(x)=3x-4/2

Answers

Answer:

f(4) = (4)² + 5(4) = 36.

g(9) = [3(9) - 4]/2 = 23/2.

f(-3) = (-3)² + 5(-3) = -6.

g(-6) = [3(-6) - 4]/2 = -11.

Set f(x) = 14.

=> x² + 5x = 14

=> x² + 5x - 14 = 0

=> (x + 7)(x - 2) = 0

=> x = -7 or x = 2.

Set g(x) = -28.

=> (3x - 4)/2 = -28

=> 3x - 4 = -56

=> 3x = -52

=> x = -52/3.

Answer:

11.5

-11

-2, 7

-17.333 / - 17⅓

Step-by-step explanation:

f(4) = 4² + 5(4) = 16+20 = 36

g(9) = 3(9)-4 ÷ 2 = 23÷2 = 11.5

f(-3) = (-3)²+5(-3) = 9 - 15 = 6

g(-6) = 3(-6)-4 ÷ 2 = - 22 ÷ 2 = - 11

f(x) = 14

x² - 5x = 14

x² - 5x - 14 = 0

(x+2) (x-7) = 0

x = - 2 or x = 7

g(x) = -28

$(3x - 4)/(2) = - 28$

3x - 4 = - 56

3x = - 52

x = - 52/3 = - 17 ⅓

On a soccer team, 8 out of 19 players surveyed say they had two or more siblings. The league has 570 players. Which is the best prediction of the number of players in the league that have two or more siblings?A.330

B.240

C.30

D.11

Answers

Since we know that 8 out of 19 players have two or more siblings, we can write the ratio as 8/19. Now to use that for the whole team, we will cross multiply:

8/19 and x/570, to find x. so 8*570 = 19x == 4560 = 19x, x = 240.

So (B) 240 players on the team have two or more siblings.

You have 160 boxes of cookies. In each case you can pack 8 boxes of cookies. How many cases would be filled from these boxes of cookies ?