What best describes how to evaluate a variable expression?

Answers

Answer 1
Answer:  To replace each letter with its value, and then finish it by doing the order of the operation/ solve it.

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A total of 60 children signed up for hockey. There were 3 boys for every 1 girl who signed up. How many of the children who signed up for hockey were girls?

Answers

Answer: The answer is 15.

Step-by-step explanation:  Given that there are a total of 60 students who signed up for hockey, where there were 3 boys for every 1 girl who signed up. We are to find the number of girls who signed up.

The ratio of the number of boys to the number of girls will be 3 : 1.

Let '3x' and 'x' be the number of boys and number of girls respectively who signed up.

Therefore, we have

3x+x=60\n\n\Rightarrow 4x=60\n\n\Rightarrow x=15.

Thus, the number of girls is 15.

60÷(3+1)=15 1*15 = 15 girls 3*15 = 45 boys

Simplify the expression by using a double-angle formula or a half-angle formula. 7cos^2(theta/9)-7sin^2(theta/9)
sin(theta/6)cos(theta/6)

Answers

Double-angle formulas:
2sinФcosФ=sin(2Ф) /:2
sinФcosФ=1/2*sin(2Ф)

sin(Ф/6)cos(Ф/6)=1/2*sin(2*Ф/6)=1/2*sin(Ф/3)

cos²Ф-sin²Ф=cos(2Ф)/*7
7cos²Ф-7sin²Ф=7cos(2Ф)

7cos²(Ф/9)-7sin²(Ф/9)=7cos(2*Ф/9)=7cos(2Ф/9)

What passes through the points (-4,3) and (-4,-2)

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The equation of the line through those two points is . . . . . . . . . . X = -4 . / / / The line has no y-intercept and undefined slope. It's the vertical line that crosses the x-axis at -4 and goes up and down forever.

Find the missing side length of this triangle: a= 8, b= 15. (attached photo)

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the missing side length is 17.

The coordinates of prs are p(-3,2), R (2,5), s (0,0) which of the following could be p'r's' after a 270 degree rotation

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Formula for 270 degree rotations:
(x,y) -----> (-y,x)

So....

p: (-3,2)----> (-2,-3)
r: (2,5)------>(-5,2)
s: (0,0) ------> (0,0)

Answer:

The answer is B

Step-by-step explanation:

or the triangle should be on the positive side of the x-axis.

Enter the next three terms in the geometric sequence. Round to the nearest tenth value. 36, 54, 81, 121.5, ...

Answers

Answer:

The next three terms of the sequence are 182.3, 273.5 and 410.3 respectively (all rounded to the nearest tenth value)

Step-by-step explanation:

A geometric sequence is one in which successive members are multiples of a constant common ratio.

From the sequence, we can identify that;

First term a = 36

common difference = 2nd term/first term = 3rd term/second term = 4th term/3rd term

Hence, common difference d = 54/36 = 81/54 = 1.5

The next three terms of the sequence are the 5th, 6th and 7th term respectively.

For the 5th term, we have 4th term × common ratio = 121.5 × 1.5 = 182.3

For the 6th term, we have 5th term × common ratio = 182.3 × 1.5 = 273.5

For the 7th term, we have 6th term × common ratio = 273.5 × 1.5 = 410.3