Given: 3(7x-9)-19x=-15
Prove: x=6

Given: 3(7x-9)-19x=-15Prove: X=6

Answers

Answer 1

Step-by-step explanation:

3(7x-9)-19x = -15

21x-27-19x = -15

2x-27 = -15

2x = -15+27

2x = 12

x = 6

prove x = 6

Substitute x=6 into the equation.

3(7(6)-9)-19(6) = -15

3(42-9)-114 = -15

3(33)-114 = -15

99-114 = -15

-15 = -15 True✓


Related Questions

What is the measure of each angle of a regular heptagon? If necessary, round to the
nearest tenth.

Answers

Answer:

Umer F. 51.43∘ is the measure of each exterior angle in a regular heptagon.

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

31. One serving of party drink is comprised of 3oz of syrup, 4oz of water, and 3oz of apple juice. If a large bowl of the drink contains 237oz of apple juice, how much of the total drink is in the bowl

Answers

Answer:

790 oz

Step-by-step explanation:

Ratio:

3oz syrup : 4oz water : 3oz apple juice: 1 serving: 10oz total mixture

We know there is 10oz total mixture because 3oz of syrup + 4oz of water + 3oz of apple juice = 10oz total mixture

We want to find

237oz apple juice: ?oz total mixture

To do this, we can multiply the ratio

3oz apple juice: 10oz total mixture by 237/3, because 237/3 * 3 = 237, getting us to 237oz apple juice on one side and maintaining the ratio so that we can find the total mixture amount, so we have

237oz apple juice: 10*237/3 oz total mixture = 10*79 = 790 oz

Lizzy wants to solve the equation 6(2x + 1) = 4x – 5. Which step would be an appropriate first step for Lizzy to take to solve for x?

Answers

Answer:

distribute parenthesis

Step-by-step explanation:

6(2x + 1) = 4x - 5 ← distribute parenthesis on left side

12x + 6 = 4x - 5 ( subtract 4x from both sides )

8x + 6 = - 5 ( subtract 6 from both sides )

8x = - 11 ( divide both sides by 8 )

x = - [tex]\frac{11}{8}[/tex]

solve the equation below.

2/3 (9x - 12) - 6x

Answers

48

Step-by-step explanation:

idek I just need tge points so don't put what I put

Answer:

-8

Step-by-step explanation:

1. Simplify

2/3 (9x - 12) -6x —-> 2 (9x - 12) -6x/3

2. Distribute

2(9−12)/3 -6x

18x - 24/3 -6x

3. Find common denominator

18 −24/3 + 3(-6)x/3

4. Combine fractions with common denominator

18−24+3(−6)/3

5. Multiply the numbers

18−24+3(−6)/3 ——> 18−24−18/3

6. Combine like terms

18−24−18/3 ——> -24/3

7. Cancel terms that are in both the numerator and denominator

−24/3

−8

Hope it helps! Have a great day! :D

What are the outliers for 7,1,9,9,12,25,9,7,7,

Answers

The outliers are 1 and 25.

Find the volume of the figure below.

Answers

Answer:

0.6

Step-by-step explanation:

10ft of object and 6ft of ground side

Which of the following is in the range of the function based on the input-output table below?

Answers

Answer:

A.

Step-by-step explanation:

The answer is A because first:

1. we are looking for y so B and D are off the table

2. It goes from least to greatest so C is also gone

3. You are left with A

Answer:

A

Step-by-step explanation:

The range is the y value.

In this table the y value is pay per month.

Which is the value of x?
10
7

Answers

Answer: 12.2

Step-by-step explanation:  Pythagorean Theorem

please help me with this

Answers

Answer:

MN=9.1 cm

LM= 9.9 cm

Step-by-step explanation:

What is 100 plus 300??????

Answers

Answer:

The answer is 400

Step-by-step explanation:

...........

Answer:

the answer is 400 darlin

Step-by-step explanation:

HURRY PLS

What is the equation of this line?
y=2x-3
y= -1/2x-3
y= -2x-3
y=1/2x-3

Answers

Y=2x-3 rise over run and then the y intercept

read what on the image then answer

Answers

Fraction 10/12 would be greater than 3/4

3 ½ pints = ___ cups

Answers

Answer:

8.40665 cups

Step-by-step explanation:

hope this is helpful!

Help please and thank you.

Answers

Answer:

b

Step-by-step explanation:

using the letters from the word equation, how many 5-letter patterns can be formed in which q isfollowed immediately by u?

Answers

Using the arrangements formula, it is found that there are 720 words that can be formed.

The number of possible arrangements of n elements is the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem:

The non-qu letters of the word equation will be arranged in 5 positions.The "qu" can be positioned in 6 ways(letters 1-2 to letters 6-7), hence:

[tex]T = 6 \times 5! = 6! = 720[/tex]

There are 720 words that can be formed.

To learn more about the arrangements formula, you can take a look at https://brainly.com/question/24648661

which translation vector moves every point of a preimage 4 units left and 6 units up?

Answers

(-4,6)

Hope this helped :)

Change one digit from the number 238882 so that it is divisible by 3 not not divisible by 2

Answers

Answer:

238882 -> 238881

Step-by-step explanation:

To make it not divisable by 2, you have to change the rightmost digit.

Simply divide the number by 3, round it, then multiply it by 3 again.

How do you add 11/11 + 23/45? And what is the answer? Explain how you got that answer

Answers

Answer:

90

Step-by-step explanation:

first you do 11 + 11 =22

23+45=68

now im postitive you add 68 and 22 and get you final answer which is ...

90

Answer:

1 23/45

Step-by-step explanation:

Start by multiplying numerators and denominators to get the LCD in all fraction denominators

=11×45/11×45+23×11/45×11

Then rewriting the equation with the equivalent fractions

=495/495+253/495

With like denominators we can operate on just the numerators

=495+253/495

=748/495

Simplifying the answer

=68/45

=68/45

=1 23/45

Can someone please help me with this

Answers

Step-by-step explanation:

when 2 lines cross, the angles on one side of one of these lines are mirrored to the other side.

and crossing a second, parallel line creates exactly the same angles there too, because crossing the second line is like crossing the first line. otherwise the 2 lines are not parallel. the second line is just a shifted version of the first line (and vice versa). all the other attributes are the same.

and all angles around a single point on one side of a line are together 180°.

because of all that,

angle 2 = angle 3 = angle 6 = angle 7 = 76°

angle 1 = angle 4 = angle 5 = angle 8 = 180-76 = 104°

in a dilation, what is preserved and what is altered?​

Answers

Answer:

Preserve angles

Step-by-step explanation:

i think sorry if its wrong

Answer:

to preserve angles

Step-by-step explanation:

(7g+2)(5g+4)=

help please !

Answers

Answer:

35g^2+38g+8

Step-by-step explanation:

(7g+2)(5g+4)

35g^2+10g+28g+8

35g^2+38g+8

Austin didn’t win first or last place. The snowmen wearing scarves with stripes were in second and last place. Austin’s snowman came in after Jeffrey’s but before Shelby’s snowman. Keira placed better than Shelby but not as good as Matthew.

Answers

Answer:

1st - Matthew

2nd - Kiera

3rd - Jeffrey

4th - Austin

5th - Shelby

The sequence of the statement will be Matthew is in the first place, Kiera is in second place, Jeffrey is in third place, Austin is in fourth place, and Shelby is in fifth place.

What is sequence?

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

Austin didn’t win first or last place,

The snowmen wearing scarves with stripes were in second and last place,

Austin’s snowman came in after Jeffrey’s but before Shelby’s snowman,

Keira placed better than Shelby, but not as well as Matthew,

The sequence of the above statement can be written as,

1st - Matthew

2nd - Kiera

3rd - Jeffrey

4th - Austin

5th - Shelby

To know more about the sequence:

https://brainly.com/question/28615767

#SPJ2

On a coordinate plane, 2 lines are parallel to each other.This system of equations has .

PLS HELP

Answers

Answer:

No solutions

Step-by-step explanation:

The lines never meet, there for have no intersection point leading to no solution for the system of equations.

Hope that helps

Evaluate the expression if a = 4, b = 9, and c = 1.

3b÷c1−a


–27


–9


9


27

Answers

Answer:

I used the discriminant which is √-4ac

Then I filled the numbers in, and found that 9 gets plug in for b and this becomes 9 squared, and that becomes 81. 4 is multiplied to 4 and 1 and becomes 16. Then 81 and 16 are subtracted and we get 65. We then find the square root, and will find that the answer is C.

Step-by-step explanation:

Answer:

3b÷c1−a

=3×9÷1×1-4

=27÷1-4

=27-4

=23

Y=x2+3x+1
when х= 5, y=?

Answers

Answer:

y = 41

Step-by-step explanation:

Substitute x = 5 into the equation

y = 5² + 3(5) + 1 = 25 + 15 + 1 = 41

Ok done. Thank to me :>

a point f(–3, 1) is translated along the vector ⟨5, –1⟩.what are the coordinates of the image f′ ?

Answers

(2.0)

Hope this helped :)

Joseph invests money in an account paying a simple interest of 2.9% per year. If he invests $60 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?

Answers

Hi there! I’m here to help you out with your question.

It costs Joseph 2.9% per year in interest.

This is a one step process, do 60 (money he invests) x .029 (interest) and you should get $1.74.

Add $1.74 + $60, and your answer is $61.74.

Thank you and I hope this helped you.

The blueprint for Moreno​'s living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new​ blueprint? (The width is 8)

Answers

If the 8 you’re talking about is in inches then it would be 16 feet but if it’s 8 feet then it’s 4 inches


8-kg lead brick falls from a height of 1.6 m.
(a) Find its momentum as it reaches the ground.
Ikg-m/s
(b) What Impulse is needed to bring the brick to rest?
N-s
(c) The brick falls onto a carpet, 2.0 cm thick. Assuming the force stopping it is constant, find the average force the carpet exerts on the brick
N
(d) If the brick falls onto a 6,0 cm foam rubber pad, what constant force is needed to bring it to rest?

Answers

The magnitude of the impulse needed to bring the brick to rest is given by the initial momentum of the brick.

The correct responses are;

(a) 44.8 kg·m/s(b) 44.8 N·s(c) 6,278.4 N(d) 2,092.8 N

Reasons:

The velocity of the brick as it reaches the ground is given by the formula;

v² = 2·g·h

v = √(2·g·h)

Where;

h = The height of the brick, h = 1.6 m

g = The acceleration due to gravity ≈ 9.81 m/s²

Therefore;

v ≈ √(2 × 9.81 m/s² × 1.6 m) ≈ 5.6 m/s

(a) Momentum = Mass × Velocity

The momentum of the brick = 5.6 m/s × 8 kg = 44.8 kg·m/s

(b) Impulse = Force × Δt = Mass × Δv

Mass × Δv = 8 kg × (5.6 m/s - 0) = 44.8 kg·m/s = 44.8 N·s

Therefore, the impulse = 44.8 N·s

(c) The distance over which the carpet stops the brick = 2.0 cm = 0.02 m

Initial energy in the brick, E = m·g·h

Which gives;

E = 8 kg × 9.81 m/s² × 1.6 m = 125.568 J

Energy = Force × Distance

[tex]\displaystyle Force \ carpet \ exerts \ on \ brick, \ F = \frac{125.568 \, J}{0.02 \, m} = \mathbf{ 6,278.4 \, N}[/tex]

The average force the carpet exerts, F = 6,278.4 N

(d) If the brick falls on a foam which is 6.0 cm (thickness), we have;

Distance = 6.0 cm = 0.06 m

Therefore;

[tex]\displaystyle Force, \, F = \frac{125.568 \, J}{0.06 \, m} = \mathbf{2,092.8 \, N}[/tex]

The constant force needed to bring the brick to rest is, F ≈ 2,092.8 N

Learn more about force and energy here:

https://brainly.com/question/6366228

https://brainly.com/question/528149

What additional information can be used to prove AZDX = AXYZ by SSS?
XZ=ZD
DX=YZ
DZ=YX
XZ=XY

Answers

Answer:

B. DX = YZ

Step-by-step explanation:

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