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emmainna [20.7K]
2 years ago
5

9. What is the solution to this equation? 3x + 10 = 19

Mathematics
1 answer:
svp [43]2 years ago
6 0
<h2>Answer:</h2>

This is a 2-step equation:

3x + 10 = 19\\\\3x = 9\\\\x = 3

The solution is <em>x = 3</em>.

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What is the length of side AB of parallelogram ABCD?<br> units<br> 4g - 8<br> B<br> q+4
Andrews [41]

Answer:

8 units

Step-by-step explanation:

» <u>Concepts</u>

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» <u>Application</u>

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» <u>Solving</u>

Step 1: Subtract q from both sides.

  • 4q-8-q=q+4-q
  • 3q-8=4

Step 2: Add 8 to both sides.

  • 3q-8+8=4+8
  • 3q=12

Step 3: Divide both sides by 3.

  • 3q/3 = 12/3
  • q=4

Step 4: Plug in the value of q for side AB.

  • 4(4)-8
  • 16-8
  • 8

Therefore, the answer is 8 units.

6 0
2 years ago
A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed
RoseWind [281]

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12       Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24       Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)    

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current)     Divide by 12

r_boat + current  = 2 (r_boat - current)             Remove the brackets.

r_boat  + current = 2*r_boat - 2* current          add 2 currents to both sides

r_boat  + 3currents = 2*r_boat                          Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current.                               Divide by 12

20 = r_boat + current                                        Put 3 currents in for r_boat

20 = 3currents + 1 current                                Combine

20 = 4 currents                                                  Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

8 0
2 years ago
Translation of the length of a rectangle is 2 feet greater than twice its width. If the perimeter is 25 feet, fine the width
blsea [12.9K]

Answer:

Step-by-step explanation:

Perimeter of a rectangle=(length+width)×2

Let W=x, L=2x+2

25=[(2x+2)+x]×2

25=[2x+2+x]×2

Solve for x

25/2=3x+2

25/2-2=3x

25-4/2=3x

21\2=3x=7/2=x

8 0
3 years ago
What is the measure of XYZ?<br> A. 75°<br> B. 33<br> C. 54<br> D. 108
Oliga [24]
It's D. 108 • ___________
4 0
2 years ago
Read 2 more answers
Can somebody please help me here
andrey2020 [161]

The ordered pairs already plotted have x-coordinates: -3, -2, 1, and 2.

A function cannot have two ordered pairs with the same x-coordinate.

The answer cannot have -3, -2, 1, or 2 as the x-coordinate.


Answer: First choice (-1, 2)

6 0
3 years ago
Read 2 more answers
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