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ollegr [7]
3 years ago
5

-3(x-2)=3x+3. Solve for x

Mathematics
1 answer:
Alex3 years ago
8 0

-3(x - 2) = 3x + 3

Distribute the -3

-3x + 6 = 3x + 3

Add 3x to both sides

6 = 6x + 3

Subtract 3 from both sides

3 = 6x

Divide by 6 on both sides

1/2 = x

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Game stop is having a 35% off sale on all their video games. if a game is originally $40.00, how much will it be during the sale
Nonamiya [84]
Discount = 35/100 * 40 = $14

Price = $40- $14 = $26
7 0
3 years ago
Stanley runs, swims, and bikes every day. During these workouts, he runs at 9 mph, bikes at 16 mph, and swims at 2.5 mph. Yester
Maurinko [17]

The time spent for each activity can be found writing an equation based on

the known parameters.

  • The duration of the time Stanley spent running is <u>1.5 hours</u>
  • The duration of the time Stanley spent swimming is <u>1 hour</u>
  • The duration of the time Stanley spent Biking is <u>3 hours</u>

  • The distance Stanley cover while biking is <u>48 miles</u>

<u />

Reasons:

The running speed = 9 mph

The biking speed = 16 mph

Swimming speed = 2.5 mph

The time spent running = 0.5 hour + Time spent swimming

Biking time = 2 × Running time

The total distance covered = 64 miles

Required:

Time spent running, swimming, and biking

Solution:

Let <em>t</em> represent the time Stanley spent swimming, we have;

(t + 0.5)·9 + 2.5·t + 2×(t + 0.5)×16 = 64

43.5·t + 20.5 = 64

43.5·t  = 64 - 20.5 = 43.5

t = \dfrac{43.5}{43.5} = 1

  • The time Stanley spent swimming, t = <u>1 hour</u>

The time Stanley spent running = 0.5 + t

Therefore;

The time spent running = 0.5 hour + 1 hour = 1.5 hour

  • Time spent running = <u>1.5 hours</u>

Time spent biking = 2 × Running time

Therefore;

  • Time spent biking = 2 × 1.5 hours = <u>3 hours</u>

  • The distance Stanley cover while biking, d = 3 × 16 mph = <u>48 miles</u>

<u />

Learn more here:

brainly.com/question/23206880

7 0
3 years ago
His parents pay Tyler $ 0.75 to do the laundry and $ 1.75 to mow the lawn. In one month, he does the laundry 6 more times than h
zhuklara [117]

Answer: Tyler mowed the lawn 4 times

Step-by-step explanation:

Let x = number of times that he does laundry

Let y = number of times that he mows the lawn

In one month, he does the laundry 6 more times than he mows the lawn. This means

x = 6 +y

Tyler's parents pay him $ 0.75 to do the laundry and $ 1.75 to mow the lawn. If his parents pay him $ 14.50 that month, it means that

0.75x + 1.75y = 14.5 - - - - - - -1

Substituting x = 6+y into equation 1, it becomes

0.75(6 + y) + 1.75y = 14.5

4.5 + 0.75y + 1.75y = 14.5

0.75y + 1.75y = 14.5 - 4.5

2.5y = 10

y = 10/2.5 = 4

x = 6 + y = 6 + 4

x = 10

7 0
3 years ago
The sum of three consecutive is 267. What is the largest integer
Oliga [24]
Consecutive means in order. So let's call the first integer x. The next number in line would be x+1 and the largest integer would be x+2. Let's prove that so you're not confused.  If x is 3, then x+1 is 4 (next in line), and x+2 is 5 next after that. See? So if we add all those together we set them equal to 267 and solve for x: x + x+1 + x+2 = 267.  Combining like terms gives us 3x + 3 = 267 and 3x = 264. Now dividing both sides by 3 we get that x = 88.  That's the smallest integer; the largest is found by adding 88 + 2 which is 90.  So that means that the numbers are 88, 89, 90, and that adding them up = 267. Let's check that now: 88+89+90=267 so we're good.
4 0
3 years ago
HELP ASAP Angle FGH is a central angle, what is the measure of FH A. 54° B. 108° C. 145° D. 216°
denpristay [2]

Answer:

A

Step-by-step explanation:

We can calculate this using circle theorems

The correct circle theorem to use here is that angle at center is 2 times angle at circumference

The angle we want to calculate here is the angle at circumference but we were given the angle at the center

So the value of the angle at the circumference would be 108/2 = 54

5 0
3 years ago
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