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elena-14-01-66 [18.8K]
3 years ago
6

Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2

Mathematics
1 answer:
telo118 [61]3 years ago
5 0

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

4(x - 2) = 3x + 1

Step 2: Solve for <em>x</em>

  1. <u>Distribute 4:</u> 4x - 8 = 3x + 1
  2. <u>Subtract 3x on both sides:</u> x - 8 = 1
  3. <u>Add 8 to both sides:</u> x = 9

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

  1. <u>Substitute:</u> 4(9 - 2) = 3(9) + 1
  2. <u>Parenthesis (add):</u> 4(7) = 3(9) + 1
  3. <u>Multiply:</u> 28 = 27 + 1
  4. <u>Add:</u> 28 = 28
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The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours a
kodGreya [7K]

Answer:

d) f(x) = 5x + 2

Step-by-step explanation:

First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.

Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2

To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.

Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2

6 0
3 years ago
A math class has 3 girls and 9 boys in the seventh grade and 7 girls and 3 boys in the eighth grade. The teacher randomly select
vladimir1956 [14]

Answer:

7/40

Step-by-step explanation:

There are 3 girls+9 boys = 12 students in the 7th grade

P (girl in 7th grade) = girls/ total

                                = 3/12 = 1/4

There are 7 girls+3 boys = 10 students in the 8th grade

P (girl in 8th grade) = girls/ total

                                = 7/10

P(7th grade girl, 8th grade girl) = 1/4 * 7/10 = 7/40

8 0
3 years ago
Two friends, Damian and Nicole, took summer jobs. The equation y = 15.52
Sindrei [870]

Answer:

sorry

Step-by-step explanation:

5 0
2 years ago
Hannah went to a hospital and donated 1.9 cups of blood. If there are
tamaranim1 [39]

Answer:

449.54 millimetres

step by step explanation

Blood donated by Hannah = 1.9 cups

1 cup = 236.6 millimetres

Therefore, 1.9 cups = 1.9 * 236.6 = 449.54 ml

So Hannah donated 449.54 millimetres of blood.

8 0
2 years ago
PLEASE HELP BEEN STUCK FOR HOURS WILL MARK THE BRAINLIEST<br> HAVE TO ANSWER A,B, and C
zaharov [31]

Answer:

A. 1)5.5 2)4.5 3)5.75 4)6.25 B. 1.75 C. A correct B incorrect C incorrect D correct

Step-by-step explanation:

Mean is a fancy way of saying <em><u>Average </u></em>, when calculating average you add all the numbers and divide by how many numbers there are:

<em><u>A</u></em>

<u>1.</u>

8+6+3+5=22/4=5.5

<u>2.</u>

5+7+4+2=18/4=4.5

<u>3.</u>

8+7+5+3=23/4=5.75

<u>4.</u>

6+8+4+5=25/4=6.25

<em><u>B</u></em>

largest mean is 6.25, smallest mean is 4.5:

<u>Subtract lowest mean from highest mean:</u>

6.25-4.5=1.75

<em><u>C</u></em>

<u>A)</u>

this is correct because averaging your average gives an overall average,

<u>B)</u>

if a is correct b has to be incorrect

<u>C)</u>

if D is correct C must be incorrect

<u>D)</u>

The closer they are together, that means more likely to be accurate because they are almost the same

I hope this helps u!

pls pls PLS give a brainliest and a thx ;)

8 0
3 years ago
Read 2 more answers
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