All categories

2 years ago

Can someone help me find the answer to this problem 2(x-3)=14

Mathematics

2 answers:

lord [1]2 years ago

5 0

Answer:4

Step-by-step explanation:

2x-6=14

2x=8

x=4

svp [43]2 years ago

4 0

Answer:

Step-by-step explanation:

Simplifies to 2x-6=14.

Add 6 to both sides. You will have the equation 2x-6+6=14+6

Simplify. You will get 2x=20

Divide both sides by 2. You will have 2x/2=20/2

Simplify and your final answer will be x=10

Hope this helps you out!

You might be interested in

The gear is one of the oldest mechanical devices. It has been used since ancient times for its ability to increase or decrease r

eduard

The large gear attached to the pedals connected to the smaller gear

attached to the wheel allows the bicycle to travel further per rotation.

Correct responses:

Part A: Approximately 10.47 inches

Part B: 300°The d

Part C: Approximately 125.66 inches

Part D: The distance traveled increases by approximately 62.83 inches

<h3 /><h3>Methods used to calculate the above values</h3>

Given:

The radius of the large central gear, <em>r</em> = 4 inches

Radius of the small gear = 2 inches

Part A:

The distance travelled by the larger gear when the angle of rotation is 150° is given as follows;

$\displaystyle Distance \ travelled \ by \ larger \ gear = \mathbf{\frac{150^{\circ}}{360^{\circ}} \times 2 \times \pi \times 4 \, inches} = \frac{10}{3} \cdot \pi \ inches$

$\displaystyle Distance \ traveled \ by \ the \ outer \ edge = \frac{10}{3} \cdot \pi \ inches \approx \underline{ 10.47 \ inches}$

Part B:

When the small gear travels the same linear distance as the large gear in part A, we have;

$\displaystyle Degree \ of \ rotation = \frac{\frac{10}{3} \cdot \pi }{2 \times \pi \times 2 } \times 360^{\circ}= 300^{\circ}$

The degree of rotation of the small gear = <u>300°</u>

Part C:

The distance travelled, <em>C</em>, by a single rotation of the large gear is given as follows;

C = 2 × π × 4 inches = 8·π inches

The degree of rotation of the smaller gear following one rotation of the large gear is therefore;

$Degree \ of \ rotation = \displaystyle \frac{8\cdot \pi \ inches}{4 \cdot \pi \ inches } \times 360^{\circ} = \mathbf{ 720^{\circ}}$

720° = 2 × 360°

1 complete rotation is equivalent to 360°.

Therefore'

720° is equivalent to two complete rotation.

Therefore, the smaller gear and the wheel rotates twice for each rotation of the large gear

The distance the bicycle travels = 2 × The circumference of the wheel

Therefore;

Distance traveled by the bicycle = 2 × 2 × π × 10 inches = 40·π inches

Distance traveled by the bicycle = 40·π inches ≈ <u>125.66 inches</u>

Part D:

If the radius of the small gear is 1.5 inches and the radius of the large gear is 4.5 inches, we have;

Number of rotation of the small gear for each rotation of the large gear = 3 rotations

Therefore, number of rotation of the wheel = 3

Distance the bicycle travels = 3 × 2 × π × 10 inches = 60·π inches

The difference in distance traveled = 60·π inches - 40·π inches = 20·π inches

The distance traveled by the bicycle increases by 20·π inches ≈ <u>62.83 inches</u>

Learn more about gear transmission here:

brainly.com/question/14646065

brainly.com/question/3926797

8 0

2 years ago

A firefighter places a 29 feet ladder, so that the base of the ladder is 21 feet from the wall. What is the height at which the

Tju [1.3M]

Pythagorean theorem:
a^2+b^2=c^2 (C^2 always is the hypotenuse)

21^2+b^2=29^2
441+b^2=841
841-441=400
square root of 400 is 20
Your answer is 20

6 0

2 years ago

I need help with this problem quick.

KatRina [158]

The absolute value - or distance from zero, is fairly simple to find. Make your final answer positive to find it.

$|\frac{10-7}{4}| = |\frac{3}{4}| = |.75| = .75$

$|\frac{-15+8}{6}| = |-\frac{7}{6}| = |-1.2| = 1.2$

8 0

3 years ago

Why is (0,1) y-intercept of the form below?

morpeh [17]

It isn’t because when there is no addition in the equation the y intercept is 0

4 0

3 years ago

SOLVE: 6 and 1/12 divided by 4 and2/5

Firdavs [7]

Answer:

1 and 101/264

Step-by-step explanation:

Hope this helps!

-Josh

(brainliest?)

7 0

2 years ago