Which strategies can be used to solve this problem?The candle factory made 1,200 candles per month in June and July and 1,345 candles per month in August and September. What is the total number of candles they made in four months?
Choose all answers that are correct.

A.Use logical reasoning.
Multiply 1,200 by 2 to figure out how many candles were made in June and July. Multiply 1,345 by 2 to figure out how many candles were made in August and September. Add the two numbers together to find the total number of candles made in four months.
B.Draw a diagram.
Draw two circles. In one circle write 1,200 and in the other circle write 1,345. Add the numbers in the circles together.
C.Work backward.
Divide 1,200 by 2 (for the 2 months, June and July). Then divide 1,345 by 2 (for the 2 months August and September). Add these two numbers.
D.Translate into an equation.
1,200 × 2 + 1,345 × 2 = c

Answers

Answer 1

Answer: you want total number made in 4 m onths, so adding all numbers is correct, but it is per 1 month, so multiply by 2

A because you need brain for most problems
D works

pick A and D

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Which values are within the range of the piecewise-defined function?f(x) =
2 x + 2 x < - 3
X x = -3
- x - 2 X > -3
y = -6
y=-4
y=-3
y = 0
y = 1
y = 3

Answers

-6, -4, -3, and 0 are the values which are within the range of the piecewise-defined function.

Correct options: a) y = -6, b) y = -4, c) y = -3, d) y = 0

Here, we have, to determine which values are within the range of the piecewise-defined function, we need to evaluate the function for each given value of y.

Given piecewise-defined function:

f(x) =

2x, x < -3

x, x = -3

-x - 2, x > -3

Let's evaluate the function for each value of y:

a) y = -6

For y = -6, we need to find x such that f(x) = -6.

-6 is in the range of the function if there exists an x such that f(x) = -6.

For x < -3: f(x) = 2x

2x = -6

x = -3

For x = -3: f(x) = x

x = -3

For x > -3: f(x) = -x - 2

-x - 2 = -6

x = 4

Since there is a value of x (-3) that satisfies f(x) = -6, option a) y = -6 is correct.

b) y = -4

For y = -4, we need to find x such that f(x) = -4.

-4 is in the range of the function if there exists an x such that f(x) = -4.

For x < -3: f(x) = 2x

2x = -4

x = -2

For x = -3: f(x) = x

x = -3

For x > -3: f(x) = -x - 2

-x - 2 = -4

x = 2

Since there is a value of x (-3) that satisfies f(x) = -4, option b) y = -4 is correct.

c) y = -3

For y = -3, we need to find x such that f(x) = -3.

-3 is in the range of the function if there exists an x such that f(x) = -3.

For x < -3: f(x) = 2x

2x = -3

x = -1.5

For x = -3: f(x) = x

x = -3

For x > -3: f(x) = -x - 2

-x - 2 = -3

x = 1

Since there is a value of x (-3) that satisfies f(x) = -3, option c) y = -3 is correct.

d) y = 0

For y = 0, we need to find x such that f(x) = 0.

0 is in the range of the function if there exists an x such that f(x) = 0.

For x < -3: f(x) = 2x

2x = 0

x = 0

For x = -3: f(x) = x

x = -3

For x > -3: f(x) = -x - 2

-x - 2 = 0

x = -2

Since there is a value of x (-3) that satisfies f(x) = 0, option d) y = 0 is correct.

e) y = 1

For y = 1, we need to find x such that f(x) = 1.

1 is in the range of the function if there exists an x such that f(x) = 1.

For x < -3: f(x) = 2x

2x = 1

x = 0.5

For x = -3: f(x) = x

x = -3

For x > -3: f(x) = -x - 2

-x - 2 = 1

x = -3

Since there is no value of x that satisfies f(x) = 1, option e) y = 1 is incorrect.

f) y = 3

For y = 3, we need to find x such that f(x) = 3.

3 is in the range of the function if there exists an x such that f(x) = 3.

For x < -3: f(x) = 2x

2x = 3

x = 1.5

For x = -3: f(x) = x

x = -3

For x > -3: f(x) = -x - 2

-x - 2 = 3

x = -5

Since there is no value of x that satisfies f(x) = 3, option f) y = 3 is incorrect.

Correct options: a) y = -6, b) y = -4, c) y = -3, d) y = 0

The correct values within the range of the piecewise-defined function are -6, -4, -3, and 0.

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Answer:

-6, -4, -3, 0

Step-by-step explanation:

I just did this question and got it right.

F is between C and B. If CF = 7x+4, FB = 10x -69, and CB = 12x -25. Find x and CF

Answers

Answer:

x = 8
CF = 60

Step-by-step explanation:

CF + FB = CB

(7x+4) +(10x-69) = (12x-25)

5x = 40 . . . . . . . . add 65-12x

x = 8 . . . . . . . . . . divide by 5

CF = 7x +4 = 7(8) +4 . . . . use the x value in the expression for CF

CF = 60

What percentage of the audience from the 16-25 age group gave the movie a poor rating?

Answers

Select one of the options below as your answer:

A. 6.19%

B. 10.00%

C. 25.34%

D. 15.70%

E. 16.22%

How many people all together is there ?

Simplify 8 + 3{x - 2[x + 5(x + 3)]}.

-33x + 82
33x - 82
-33x - 82

Answers

Answer:

-33x - 82

Step-by-step explanation:

Use

PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

and the distributive property a(b + c) = ab + ac.

$1)\qquad5(x+3)=5x+15\n\n2)\qquad x+5(x+3)=x+5x+15=6x+15\n\n3)\qquad2[x+5(x+3)]=2(6x+15)=12x+30\n\n4)\qquad x-2[x+5(x+3)]=x-(12x+30)=x-12x-30=-11x-30\n\n5)\qquad3\{x-2[x+5(x+3)]\}=3(-11x-30)=-33x-90\n\n6)\qquad8+3\{x-2[x+5(x+3)]\}=8+(-33x-90)=-33x-82$