given: 10-x+3x=-4(x-4) prove: x=1 and i have to use proofs for each step ex:division property​

Answers

Answer 1

Answer:

10+x+3x=-4(x-4)

10+2x=-4x+16

collect like-terms

2x+4x=16-10

6x=6

divide both by 6 to find the value of x

therefore, x is equal to 1


Related Questions

62x(70+8) in word form

Answers

Answer: sixty-two x times in parentheses seventy plus eight

Find the slope between (-12, 16) and (-4, -2)

Answers

Answer:

x=-9/4

Step-by-step explanation:

Need help with this.​

Answers

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Let t as + 5y .

[tex] {y}^{2} + 5y = t[/tex]

Rewrite the equation :

[tex]t - \frac{36}{t} = 0 \\ [/tex]

Multiply sides by t

[tex]t \times (t - \frac{36}{t} ) = t \times 0 \\ [/tex]

[tex] {t}^{2} - 36 = 0[/tex]

Add sides 36

[tex] {t}^{2} - 36 + 36 = 0 + 36[/tex]

[tex] {t}^{2} = 36[/tex]

[tex]t = ± \: 6[/tex]

_________________________________

So :

[tex] {y}^{2} + 5y = 6[/tex]

Subtract sides 6

[tex] {y}^{2} + 5y - 6 = 6 - 6[/tex]

[tex] {y}^{2} + 5y - 6 = 0[/tex]

[tex](y + 6)(y - 1) = 0[/tex]

[tex]y = - 6 \: \: or \: \: y = 1[/tex]

##############################

[tex] {y}^{2} +5y = - 6[/tex]

[tex]No \: \: solution[/tex]

_________________________________

Thus (( y = 1 )) and (( y = - 6 )) are the roots of the equation .

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John can clean pools at a constant rate of 3/5 pools/hour. How many pools can John clean in 10 hours?

Answers

Answer:

6

Step-by-step explanation:

3/5*10

How can 20 × 15 help you find 19 × 15?

Answers

Answer:

Step-by-step explanation:

You find the answer of 20 x 15 and subtract 15.

Answer:You find the answer of 20 x 15 and subtract 15.

Step-by-step explanation:

When I divide my number by 8 and are my number I get 90. What is my number?

Answers

Answer:

720

Step-by-step explanation:

90x8=720

720/8=90

HOPE THIS HELPS BROSKI~

I need the answer for 'j" 2j + 5 = 3 + 2j + 2

Answers

Answer:

15gm

Step-by-step explanation:

because 5x3 is 15

If these two shapes are similar, what is the measure of the missing length g?

Answers

So if the shapes are similar, they have to have a number multiple from to get the other triangle. If you divide 63 by 42, you get 1.5. Then you have to divide 54 by 1.5 to get G and that would be 36.

If you multiply or divide both sides of an inequality by a negative number, you must __________ the inequality sign.

Answers

Answer:

Step-by-step explanation:

flip

Write the expression below as a product of two factors.
6 + 8 + 4

Answers

Answer: Factor out the GCF of 6, 8, and 4: 2

2(3m + 4n + 2)

I want to know this question​

Answers

It is an acute angle and I think 45 degrees

Solve the system:
5x+2y = 3
2x + 3y = -1

Answers

Answer:

x= 1 y= -1

Step-by-step explanation:

Pick an equation to isloate x or y

5x+2y=3 becomes x=-2y+3/5

Subsitute that into second equation : 2(-2y+3y/5) + 3y=-1

Example and simplify.  

Do the same to find x variable

Given the equation 3x + 4y = 10, select a second equation that would create a system with no solutions.

3x + 4y = -10

3x - 4y = 10

3x + 4y = 10

3.x - 4y = -10

Answers

Answer:

3x + 4y = -10

Step-by-step explanation:

Here, we want to select which of the options will give a system of two equations coupled with the first such that we have no solutions

Since we already have 3x + 4y = 10

The equation that will give a system leading to no solutions will be a system that equates the exact sum of 3x + 4y to another value

Mathematically, that will be;

3x + 4y = -10

+ 14. "-4 less than a number is 17." ​

Answers

Answer:

-4 < x = 17

Step-by-step explanation:

-4 less than a number is 17

less than = <

a number = unknown # ( x )

is = equal sign ( = )

Put all of it together and "BAM" there's your answer!

Why can any two opposite faces of a rectangular prism be called the bases

Answers

Answer:

Step-by-step explanation:

The properties of prisms are similar for every kind of prism with each one defined by the shape that makes up the base of the prism. Any polygon can be the base of a prism.

A rectangular prism is a three-dimensional solid with several properties relating to its shape, volume and surface area. Rectangular prisms, in particular, are one of the most fundamental and common shapes in three-dimensional geometry and are also used in fields such as carpentry and graphic design.

Prism: Math Definition

A prism is a type of three dimensional polyhedron. It has two "bases" that are parallel to each other. These bases are the same type of polygon. The other faces (aka the "sides") of the prism are parallelograms (this is true no matter what shape the bases are).

Hope this helps ✌️

Any two opposite faces of a rectangular prism be called the bases because rectangular prism is formed with 6 pairs of parallel faces.

What is a rectangular prism?

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

One of the three-dimensional shapes that can be created with six pairs of parallel faces is a rectangular prism. Three-dimensional shapes in this category include cubes and cuboids. Prisms come in a variety of forms depending on the base.

Hence, any two opposite faces of a rectangular prism be called the bases because rectangular prism is formed with 6 pairs of parallel faces.

To learn more about the rectangular prism visit:

https://brainly.com/question/27812749.

#SPJ2

On the last day of vacation, the Ramirez family drove 252 miles from a state park to its home. The drive covered 35% of the total distance the family traveled during its vacation. What is the total distance the Ramirez family traveled during its vacation?​

Answers

Answer:

Step-by-step explanation:

35 percent of total miles traveled (say T)is 252 miles.

(35/100) * T=252

T=(252*100)/35 => T=720 miles

So total distance the Ramirez family traveled during its vacation is 720 miles

Answer:

720 miles

Step-by-step explanation:

Plz help. Write the slope intercept form of the equation.

Answers

Answer:

y = - 1.5x - 5 or y = - 3/2x - 5

Step-by-step explanation:

Step 1:

y = mx + b           Slope Intercept Form

Step 2:

1 = - 3/2 ( - 4 ) + b          Equation

Step 3:

1 = 6 + b         Multiply

Step 4:

b = - 5         Subtract 6 on both sides

Answer:

y = - 1.5x - 5

Hope This Helps :)

It Is generally believed that electrical problems affect about 14% of new cars. An automobile mechanic conducts diagnostic tests on 128 new cars on the lot. A. Describe the sampling distribution for the sample proportion by naming the model and telling its mean and standard deviation. Justify Your Answer. B. Sketch and clearly label the model. C. What is the probability that in this group over 18% of the new cars will be found to have electrical problems?

Answers

Answer:

hla amgx q tal están queriendo q te ayude yo sé cómo te puedo ayudar para q te saques buenas notas

Step-by-step explanation:

primero me das la corona y te lo digo sii

Find the cosine of R.

Write your answer in simplified, rationalized form. Do not round.

cos(R) =

Answers

Answer:

[tex] cos(R) = \frac{\sqrt{15}}{5} [/tex]

Step-by-step explanation:

To find the cosine of <R, apply the following trigonometric ratio formula:

[tex] cos(R) = \frac{adjacent}{hypotenuse} [/tex]

Adjacent = 3

Hypotenuse = √15

Plug in the values into the formula

[tex] cos(R) = \frac{3}{\sqrt{15}} [/tex]

Multiply the numerator and denominator by √15 to rationalize.

[tex] cos(R) = \frac{3 \times \sqrt{15}}{\sqrt{15} \times \sqrt{15}} [/tex]

[tex] cos(R) = \frac{3\sqrt{15}}{(\sqrt{15})^2} [/tex]

[tex] cos(R) = \frac{3\sqrt{15}}{15} [/tex]

[tex] cos(R) = \frac{\sqrt{15}}{5} [/tex]

8th GRADE MATH #7 On its first visit to the vet, Emma’s Kitten weighed 30 ounces. On its second visit, the kitten had gained 8 ounces. On its third visit, the kitten had gained another 6 ounces. What is the percent increase, rounded to the nearest percent, of the kitten’s weight since its first visit? *

Answers

Answer:

14.6 % increase

Step-by-step explanation:

44 divided by 30 = 1.46

To decimal = 14.6 percent

I think

What is the decimal value of x in the equation 7x − 2 = 5x + 3?

Answers

Answer:

x= 2.5

Step-by-step explanation:

7x-5x = 2x

2x-2 = 3

3 + 2 = 5

2x=5

5/2 = 2.5

Answer: 5/2 or 2.5

Step-by-step explanation:

So first you add 2 to -2( crossing it out) and add 2 to 3. Then you simplify giving you the equation of 7x=5x+5.

Then subtract 5x from 7x and 5 giving you the equation of 2x=5.

Ounce done divide your equation by 2, giving you the answer if 5/2 or 2.5.

Unit rate for 2.88 for 12 ounces

Answers

Answer:

0.24 per ounce

Step-by-step explanation:

The angle bisectors of triangle XYZ meet at point P. What is PJ?

Answers

Answer:  16 units

=======================================================

Explanation:

Segment PJ is perpendicular to segment YZ

So triangle PJZ is a right triangle with the known leg ZJ = 12, unknown leg PJ = x, and known hypotenuse PZ = 20.

Let's say a = 12, b = x, c = 20.

Use the Pythagorean theorem to find x

a^2 + b^2 = c^2

12^2 + x^2 = 20^2

144 + x^2 = 400

x^2 = 400-144

x^2 = 256

x = sqrt(256)

x = 16

Therefore segment PJ is 16 units long.

Side note: the angle bisectors won't always form 90 degree angles with the opposite sides. These angle bisectors are also altitude lines because of the 90 degree angles that form.

How do you solve 9 7/8 divided by 5 2/3? Explain how you used math to determine your answer.

Answers

Answer:

Change the mixed fractions to improper fractionsFor any fraction in the form [tex]A\frac{b}{c}[/tex] is equal to [tex]\frac{(A*b)+c}{b}[/tex] so the fractions are [tex]\frac{79}{8}[/tex] and [tex]\frac{17}{3}[/tex] Then in order to divide, change the fraction on the right by flipping it, and then multiply everything [tex]\frac{79}{8} \div\frac{17}{3}=\\\frac{79}{8} \times\frac{3}{17} =\frac{1343}{24}[/tex]

17 tens in standard form add

Answers

170 in unit form
-it can also be said as 1 hundred, 7 tens, and 0 ones to make it easier

If x + y = 13 and y = 2, then which of the following is true according to the
substitution property?
A) 2 + y = 13
B) x = 13 - y
NICy = 13 - x
OD) x + 2 = 13

Answers

Answer:

OD) x+2=13

Step-by-step explanation:

you would plug in the y substitute which would be 2, making the equation x+2=13

:) hope this helps lol

Answer:

X+2=13

Step-by-step explanation:

We know that x+y=13 when added. We also know that y=2. To find X we can add X to 2 to get 13. X=11

5.03)
Factor x2 - 4x + 5. (4 points)

Answers

Answer:

(x + 5) (x - 1)

Let z = 3(cos(15°) + i sin(15°)) and w = 5(cos(90°) + i sin(90°)). What best describes the geometric construction of the quotient z/w on the complex plane? ​

Answers

Answer:

A. z is scaled by a factor of One-fifth and rotated 90 degrees clockwise.

Step-by-step explanation:

Answer:

The Answer is A

Step-by-step explanation:

z is scaled by a factor of One-fifth and rotated 90 degrees clockwise

Find the slope between (8, 3) and (-5, 3)

Answers

Answer:

slope=0 (horizontal line)

Step-by-step explanation:

A way to remember this is if you went skiing on a horizontal line you would have 0 fun.

Answer:

= 0

Explanation:

Given point: (8,3) and (-5,3)

To find the slope:

Slope: y1-y2/x1-x2

So, 3-3/8-(-5) = 0

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle of elevation of the tree from one position on a flat path from the tree is H=60°, and from a second position L=20 feet farther along this path it is B=50° What is the height of the​ tree?

Answers

Answer: 44.11 feets

Step-by-step explanation:

Using Pythagoras :

tan θ = opposite / Adjacent

Tan 60° = h / x

h = x tan 60 - - - (1)

tan 50° = h / (x + 20)

h = (x + 20) tan 50 - - - (2)

Equate (1) and (2)

x tan60 = (x + 20) tan 50

1.73205x = (x + 20) 1.19175

1.73205x = 1.19175x + 23.835

1.73205x - 1.19175x = 23.835

0.5403x = 23.835

x = 23.835 / 0.5403

x = 44.114380

Hence, height = 44.11 feets

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