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Triss [41]
3 years ago
11

3 - 2(2x - 3) = 17 solving for a variable

Mathematics
1 answer:
IrinaK [193]3 years ago
5 0
Remember you can do anything to an equaiton as long as you do it to both sides

3-2(2x-3)=17
minus 3 from both sides
3-3-2(2x-3)=17-3
-2(2x-3)=14
divide both sides by -2
2x-3=-7
add 3 to both sides
2x+3-3=3-7
2x=-4
divide both sides by 2
x=-2
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A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a de
marin [14]

Answer:

\frac{23}{4} feet

Step-by-step explanation:

The depth of the fish to the surface of water at 1:00 pm = 2 \frac{1}{2} feet

                                                                             =   \frac{5}{2} feet

The depth of the fish to its initial position at 4:00 pm = 3 \frac{1}{4} feet

                                                                              = \frac{13}{4} feet

The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm

                                        =  \frac{5}{2} + \frac{13}{4}

                                        = \frac{10 + 13}{4}

                                         = \frac{23}{4}

The position of the fish with respect to the water's surface at 4:00 pm is \frac{23}{4} feet.

8 0
3 years ago
Need help asap !!!!!
Romashka [77]

Answer:

The answer is x = 5.

Step-by-step explanation:

Given:

Δ ABC is an Isosceles triangle with AB = CA

   m∠ ABC = ( 6x + 4 )°

   m∠ BAC = 73°

   m∠ BCA = ( 8y - 7 )°

To Find:

x = ?

Solution:

Properties of an Isosceles Triangle.

  1. Base angles or two angles are equal.
  2. Any two sides are equal.

Here , Δ ABC is an Isosceles triangle with AB = CA

∴  m∠ BAC = m∠ BCA

73= 8y-7\\8y=73+7\\8y=80\\y=\frac{80}{10} \\y=10

∴      m∠ BCA = ( 8y - 7 )°

                       = 8 × 10 - 7

       m∠ BCA  = 73  Which is same as ∠ CAB

Property of a Triangle is Sum of the measures of the angle of a triangle is 180°.

\angle ACB + \angle CAB + \angle CBA = 180

Substituting the values we get,

73 + 73 + (6x+4) = 180\\6x+4=180-146\\6x=34-4\\6x=30\\x=\frac{30}{6} \\x=5\\

The answer is x = 5.

7 0
3 years ago
Solve for the formula C=2pir solve for r
Ulleksa [173]
C = 2pi r
C/2 Pi = r.

I believe this would be the solution.
7 0
3 years ago
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A scuba diver is at an elevation of −18 ft. She then descends 30 ft deeper. What is the scuba diver's new elevation?
sladkih [1.3K]
-18 - 30 = -48
The Scuba Diver is now 48 feet below sea level.
7 0
3 years ago
Hayato watches a piece of gum Stuck to a clown’s bicycle tire as a steadily rotates, making 40 revolutions per minute. He starte
azamat

Answer to your Question:

- The Minimum Value will be 0

and

- The Maximum Value will be 30

Other Answers to This Quiz Include:

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Answer: 30

"How will he label the first four tick marks on the X-Axis?"

Answer: 0.375, 0.75, 1.125, 1.5

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Answer: Picture Below.

"At Which Time could the clown have dropped the bowling Pins?"

Answer: 3.75 s

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