To reason about the value of x in 1/4(12x - 8) =10, Joy and Paulo each rewrite the equation. Joy rewrites the equation as 3x - 2 = 10. Paulo rewrites the equation as
12x - 8 = 40. What are their strategies? Explain your reasoning.

Answer:

For Joy:

Strategy: Multiply through by 4

For Paulo:

Strategy: Evaluate the bracket

Explanation:

Given

[tex]\frac{1}{4}(12x - 8)=10[/tex]

Required:

Determine the strategies

For Joy:

Strategy: Multiply through by 4

[tex]4 * \frac{1}{4}(12x - 8)=10 * 4[/tex]

[tex]12x - 8 = 40[/tex]

Done

For Paulo:

Strategy: Evaluate the bracket

[tex]\frac{1}{4}*12x - \frac{1}{4}*8=10[/tex]

[tex]3x - 2 = 10[/tex]

Done

b(x)=[x+4], what is b(-10)?​

What is an
equation of the line that passes through the points (-5, 8) and
(5,0)?

A company produces two types of jackets; windbreakers and rainbreakers. The company has at most 61 hours of finishing time per week and 67 hours of packaging time per week. Each windbreaker jacket takes 59 minutes of finishing time and 21 minutes of packaging time per week, whereas each rainbreaker jacket takes 58 minutes of finishing time and 34 minutes of packaging time per week. The company's profit for each windbreaker and rainbreaker jacket is 28 and 41, respectively. Let x denote the number of windbreaker jackets they should produce and y denote the number of rainbreaker jackets they should produce. The company wants to maximize profit. Set up the Linear Programming Problem for this situation.

Reflect (4,3) across the x-axis. Then reflect the result across the y-axis. What are the coordinates of the final point​

Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 2(m∠Y) − 75°. Find m∠Y.

A maintenance technician sights the top of a telephone pole at a 25° angle of elevation as shown. Technician Telephone Pole Determine the horizontal distance between the technician and the base of the telephone pole to the nearest tenth of a foot. Enter your answer in the box.​

10. Carl wants to buy a television that costs $400,
including taxes. To pay for the television, he will use
a payment plan that requires him to make a down
payment of $150, and then pay $70.50 each month
for 6 months. What is the percent increase from the
original cost of the television to the cost of the
television using the payment plan?

Which property is used for the following expression (4x2) x 5 = 2 x (5 x 4) ?

You are checking a bag at the airport. Your bag weighs 16 pounds plus 2 more pounds for each souvenir you add. How many souvenirs can you add if bags can weigh no more than 50 pounds?

what is the value of x in 2x = 64​

PLEASE HELP ASAP - WILL GIVE BRAINLIEST TO BEST ANSWER

Solve is for solving the answer, and check is for checking your work. Is it alright if anybody could solve it before an hour?

Identify the percent of change as an increase or decrease. Then find the percent of
change. Round to the nearest tenth of a percent, if necessary.
$18.75 to $18.60
Answers:
Increase; 15%
Decrease; 0.15%
Decrease: 0.008%
Decrease; 0.8%

Which fraction is greater than 2/5? 3/10, 7/10, 2/4, 3/6

How do you solve this?​

Suppose a game uses a spinner that has four possible outcomes: 1, 2, 3, and 4. What outcomes make up the complementary event of getting "2 or greater" on this spinner?

Change 7.5% to fraction in its lowest term

A blender was originally sold for $90 and has been marked down to $79.20. What is the percentage of discount for the blender

What is the slope of the line shown below?

The graph of y=f(x) is graphed below. What is the end behavior of f(x)?

In a correlational study, ____.
A. one variable is measured and two groups are compared
B. two variables are measured and two groups are compared
C. one variable is measured and there is only one group of participants
D. two variables are measured and there is only one group of participants

At the last census, 20% of the people in a town were less than 16 years old, 20% were 16-30, 25% were 31-45, 15% were 46-60, and 20% were over 60. To test to see if the age strucutre of the town has changed a random sample of of 200 residents of the town yields the following results:
Age: <16 16-30 31-45 46-60 >60
Observed Frequency 30 31 37 50 52
Test to see if the age structure has changed (using the 5% level of significance).

solve each equation for given variable
-5i -15 = 15

Question -3+13x=9.

Explain the steps of how you would find the value of x.
What is the value of x?
How do you know that your answer is correct? How can you prove that?

NAME DATE PERIOD 5-6 Practice 1 2 3 4 Probability and Odds Find the probability of each outcome if a pair of dice are rolled. Refer to the table below, which shows all of the possible outcomes when you roll a pair of dice. 4 5 6 (1, 1) (1, 2) (1, 3) (1. 4) (1,5) (1,6) 2 (2, 1) (2.2) (2, 3) (2, 4) (2,5) (2, 6) 3 (3, 1) (3, 2) (3, 3) (3, 4) (3,5) (3,6) 4 (4, 1) (4, 2) (4.3) (4, 4) (4, 5) (4, 6) 5 (5, 1) (5, 2) (5, 3) (5, 4) (5,5) (5, 6) 6 (6, 1) (6.2) (6.3) (6,4) (6,5) (6, 6) 1 36 1. ap h number on the second die . 2. a sum of 8 18 - ä 25 26 3. a sum of 7 4. load sum 5. a sum less than 6 6. a sum greater than 7 7. both die are the same number 8. a sum less than 2 0136 Find the odds of each outcome if a bag contains tīblue marbles, 3 yellow marbles, and 2 red marbles. 9. choosing a blue marble 10. choosing a red marble 7:5 11. choosing a yellow marble 1:5 5:7 12. choosing a yellow or red marble 5.7 13. choosing a yellow or blue marble 14. choosing a blue or red marble 15. not choosing a blue or red marble 16. not choosing a blue marble 5:7 222 Algebra: Concepts and Applications © Glencoe/McGraw-Hill​

If f(x) = 9x-8, which of the following is the inverse of f(x)?
O A. f'(x) = *19
O B. f'(x) = x;
O c. f-'(x) = 48
X-9
O D. f-1(x) =
8

Tell whether the given value is a solution of the inequality.

-3/7m < 1; m= -7

2(f^4)^2f^2
——————-
8f^12

(4 x -9–2)
27 – 3x1x17

What’s the answer please help.

HELP!!!!1 100 POINTS TO HOWEVER ANSWERS AND BRAINLIST!!!!!

Given f(x) = −2(x + 3) 2 − 1 a. Find the vertex: ___________________ b. Find the axis of symmetry: ________________ c. Parabola opens up or down (circle one) d. Find the value of a in the equation. ____________ e. The parabola has a maximum or a minimum (circle one) ____________