A group of students surveyed chose baseball as their favor sport in the ratio 3:8 A) if 132 students were surveyed, find the number of students that chose soccer as their favorite sport.

B) if 56 students chose soccer as their favorite sport, find the number of students that chose baseball as their favorite sport.

Answers

Answer 1
Answer:

Answer:

For Part A answer is 96

For Part B answer is 21

Step-by-step explanation

Let ratio be x

number of student to choose baseball as their favor sport = 3x

number of student to choose soccer as their favor sport =8x

Total students (in terms of x ) =

                    3x +8x = 11x

Part (A)      11x = 132

                   x = 12

   number of student with soccer =  8 (12) = 96

Part B

   Number of students with Soccer = 8x (in terms of x )

                     8x = 56

                       x =7

Number of students with baseball = 3x = 3(7) = 21

Answer 2
Answer:


49.5 baseball

82.5 soccer


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Select the correct answer from the choices given(13 + 4i) + n = 0
What is n?

a. 0

b. 1

c. –13 + 4i

d. –13 - 4i

Answers

In equating a complex number to 0, we must add an opposite form of the equation, where the values of the real and imaginary parts are the same as the original, but have opposing signs. In the case of (13 + 4i), we have to add (-13 - 4i) to equate it to 0. Among the choices, the correct answer is D.

Answer:

d -13-4i

Step-by-step explanation:


If f(x)=g(x)+k, describe the relationship between f(x) and g(x).

Answers

k is constant. if you increase g(x) by x. f(x) also increases by x

What is the intermediate step in form (x+a)^2=b as a result of completing the square of the following equation6x^2+72x-170=-2

Answers

Answer:

6x² + 72x - 170 = -2

<=> 6x² + 72x - 168 = 0

<=> x² + 12x - 28 = 0

<=> x² + 12x + 36 = 64

<=> (x+6)² = 64

Step-by-step explanation:

Please help solve this, I solved it on my own but I think my calculations are wrong. here is the problem, b-(b+a×4c÷4); use; a=-6, b=1, and c=2?​

Answers

Hi there! Hopefully this helps!

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Answer: 12

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First we need to substitute the value of the variable into the expression and simplify.

b-(b+a×4c÷4) = 1 - (1 + -6 × 4(2) ÷ 4).

Now we need to solve 1 - (1 + -6 × 4(2) ÷ 4).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1 - (1 + -6 × 4(2) ÷ 4)

|

|  First, we cancel out 4 and 4.

\/

1 - (1 - 6 × 2)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Next, we multiply -6 and 2 to get -12.

1 - (1 - 12)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Then we subtract 12 from 1 to get -11.

1 - (-11)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The opposite of -11 is 11.

1 + 11.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Add 1 and 11 to get, you guessed it, 12!

Answer:

Answer: 12

Hope this helps

2: find the slop and the y-intercept of the line represented by the equation.7x + y = 8
I am having trouble with these, could someone please help me.

Answers

The\ slope-intercept\ form:y=mx+b\n\nm\ is\ the slope\nb\ is\ y-intercept\n\n7x+y=8\n\ny=-7x+8\n\nthe\ slope:m=-7\ny-intercept:b=8

Solve the equation x+10=30

Answers

get x alone on one side and solve

x = 30 - 10
x = 20
X+10=30
Subtract 10 from both sides
X+10=30
-10 -10
X=20
Answer:
X=20