5(6a +1) = 7(4x + 3) w/steps

Answers

Answer 1

Answer:

[tex]\frac{15a- 8}{14} = x[/tex]

Step-by-step explanation:

Step 1 - Divide both sides of the equation by 7:

[tex]5(6a + 1) = 7(4x + 3)\\[/tex]

[tex]\frac{5(6a + 1)}{7} = \frac{7(4x + 3)}{7} \\\\\frac{5(6a + 1)}{7} = 4x + 3[/tex]

Step 2 - Subtract 3 from both sides to isolate the 4x:

[tex]\frac{5(6a + 1)}{7} - 3 = 4x + 3 - 3\\\frac{5(6a + 1)}{7} - 3 = 4x[/tex]

Step 3 - Expand equation:

[tex]\frac{5(6a + 1)}{7} - 3 = 4x \\\\\frac{30a + 5}{7} - 3 = 4x[/tex]

Step 4 - Translate -3 into a fraction and add it:

[tex]\frac{30a + 5)}{7} - 3 = 4x\\\frac{30a + 5 + (7 * -3)}{7} = 4x\\\frac{30a + 5 + (-21)}{7} = 4x\\[/tex]

[tex]\frac{30a - 16}{7} = 4x[/tex]

Step 5 - Divide both sides of the equation by 4:

[tex]\frac{\frac{30a - 16}{7}}{4} = \frac{4x}{4}[/tex]

Multiply the two fractions together to simplify:

[tex]\frac{30a - 16}{4 * 7} = \frac{4x}{4}[/tex]

[tex]\frac{30a - 16}{28} = x[/tex]

Step 6 - Simplify by dividing the fraction by 2:

[tex]\frac{(30a \div 2)- ( 16 \div 2)}{28 \div 2} = x[/tex]

[tex]\frac{15a- 8}{14} = x[/tex]

Hope this helps!


Related Questions

100 points yes i said 100 no links

Answers

Answer:

None

Step-by-step explanation:

A rational number can never be changed into irrational

Answer:

The answer to your question is None

Step-by-step explanation:

A rational number can never be changed into irrational.

In mathematics, the irrational numbers are all the real numbers that are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.

I hope this helps and have a wonderful day!

Use substitution to solve the system. 5X+3Y=22 Y=2X-11

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.

Comprehending

We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.

This is what we would call System of Equations where we need to find the point where the lines hit.

We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.

Now that we know how to solve it/what to do, we can start solving.

Solving

We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.

[tex]y=2x-11\\5x+3y=22[/tex]

We can solve it by inserting our y value into the y value of the second equation.

[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]

Now that we know our x value, we can solve for y by inserting it into an equation.

[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]

Now that we have solved, we have gotten out point of (5,-1)

We can test this by inputting it into an equation. (Any of the latter).

[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]

Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).

Answer:

(5, - 1 )

Step-by-step explanation:

5x + 3y = 22 → (1)

y = 2x - 11 → (2)

Substitute y = 2x - 11 into (1)

5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side

5x + 6x - 33 = 22

11x - 33 = 22 ( add 33 to both sides )

11x = 55 ( divide both sides by 11 )

x = 5

Substitute x = 5 into (2)

y = 2(5) - 11 = 10 - 11 = - 1

solution is (5, - 1 )

Can someone please help me with this?

Answers

Hello,

Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.

And then Khamis should have divided -5b by -5b.

Good Luck

Ali is correct
Ali is correct

Given the expression -2 + x + (-5) what values of x will make the expression greather than zero? Create and inequality to represent your solution

Answers

-2+x+(-5) > 0  <=> x-7 > 0 <=> x > 7

ok done. Thank to me :>

Amy and Richard each solved an equation using the quadratic formula.
Both students made a mistake.

Describe the mistake each student made.

Explain what each student needs to do to fix their mistake.

Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using Latex: a\textsf{, }b\textsf{,} and Latex: c
c
of your equation and giving the solutions to the equation you chose.

Answers

Amy didn't include the negative sign for the 20, so she got an imaginary number.

Richard made it imaginary when he didn't need to. (there isn't a negative sign underneath the radical).

please help me with this for a brainly plus give explaantion on how you got that answer

Answers

D is the correct answer

Find all of the rational zeros of the function. ​f(​x)=x ​4 −3x ​3 −6x ​2 +6x+8 ​

Answers

Answer:

The "possible" rational zeros are:

±

1

,

±

2

,

±

4

,

±

8

The actual zeros are:

1

,

4

,

±

2

Explanation:

f

(

x

)

=

x

4

3

x

3

6

x

2

+

6

x

+

8

By the rational root theorem, any rational zeros of

f

(

x

)

are expressible in the form

p

q

for integers

p

,

q

with

p

a divisor of the constant term

8

and

q

a divisor of the coefficient

1

of the leading term.

That means that the only possible rational zeros are:

±

1

,

±

2

,

±

4

,

±

8

We find:

f

(

1

)

=

1

+

3

6

6

+

8

=

0

So

x

=

1

is a zero and

(

x

+

1

)

a factor:

x

4

3

x

3

6

x

2

+

6

x

+

8

=

(

x

+

1

)

(

x

3

4

x

2

2

x

+

8

)

Notice that the ratio between the first and second terms of the remaining cubic is the same as that between the third and fourth terms. So this cubic will factor by grouping:

x

3

4

x

2

2

x

+

8

=

(

x

3

4

x

2

)

(

2

x

8

)

x

3

4

x

2

2

x

+

8

=

x

2

(

x

4

)

2

(

x

4

)

x

3

4

x

2

2

x

+

8

=

(

x

2

2

)

(

x

4

)

Finally we can factor the quadratic as a difference of squares:

x

2

2

=

x

2

(

2

)

2

=

(

x

2

)

(

x

+

2

)

So the zeros are:

1

,

4

,

±

2

Given m||n, find the value of x. (10X-40°)(x-140°​

Answers

Answer:

1

Step-by-step explanation:

no es mi culpa que eres una caca

answer asap!!
thank u :)

Answers

Answer:

I can't see the photo it's just a blank black screen.

Step-by-step explanation:

Surface area I need help

Answers

Answer:

100 + 100 + 40 + 40 + 40 + 40 = 360 yd^3

A company spent $2415 on a plane ticket for seven employees all the tickets cost the same amount how much did each ticket cost

Answers

Answer:

$345

Step-by-step explanation:

2415 divided by 7 equals your total per ticket.

42x14.2 what is the answer and steps

Answers

Answer:

I hope this helps

Scored 12 out of 39 in the test work out the percentage

Answers

30.8%

I did 12/39 in my calculator and got .308 then multiplyed by 100 to get 30.8%

SOMEONE HELP ME PLEASE

Answers

Answer:

[tex]x=\frac{27}4=6.75[/tex]

Step-by-step explanation:

The triangles PQR and SQT have corresponding angles congruent. In particular the pair P,S, R,T are congruent since corresponding angles relative to the two parallel lines in the hypotesis, and Q is obviously in common. The two triangles are similar since their angles are congruent. We can then write the follwing proportion.

[tex]\overline{RQ}:\overline {TQ}= \overline{PQ}:\overline{SQ}[/tex]  Replacing the values and cross-multiplying we get:

[tex](4x-3+3):3=(40+5):5 \rightarrow 4x:3 = 45:5 \\4x=27 \rightarrow x=\frac{27}4=6.75[/tex]

Answer:

6.75

Step-by-step explanation:

the answer is 6.75

so x = 6.75

solve the Simultaneous equations : x+y=5; x-y=1​

Answers

Answer:

x=3 and y=2

Step-by-step explanation:

These equations line up quite nicely, so let's use the elimination method.

x+y=5

+ x-y=1

-------------

2x=6.

Now that we added the two equations together, we only have x as a variable to solve. We now divide 2 from both sides

x=3.

Now we take our 3 and substitute it into one of the equations. I want to put it in the first one.

3+y=5.

We subtract 3 from both sides to get y=2.

We end up with the answers x=3 and y=2. If you plug them in to check, they make sense. 3+2=5 and 3-2=1. This answer is proven to be correct.

Have a nice day :)


1) State the area of the given trapezoid.
7 meters
9 meters
15 meters
A) 63 square meters
B) 67.5 square meters
C) 99 square meters
D) 135 square meters

Answers

Answer:

a=99

Step-by-step explanation:

The answer is 99 square meters. I took this quiz, so I know the answers. I hope you get a good grade!!

can someone help me with this please:) ​

Answers

Answer:

A

Step-by-step explanation:

[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]

You are solving 5 – 8/3

=y/3
. Which equation will you get if you multiply both sides by 3?

Answers

Answer:

y=0.76

Step-by-step explanation:

5-8/3 = 3y

(5-8/3) x 3 = 3y x 3

6.9=9y

9y=6.9

y=6.9/9

y=0.76

How to draw on the graph
y=3x
y=x-6

I need it as soon as possible plz

Answers

Answer:

I believe the graphing should look like this.

Step-by-step explanation:

What is the slope for this table?

Answers

Answer:

Slope=5

Step-by-step explanation:

Using slope formula, we have -9-(-14)/-1-(-2) which is 5/1, so our slope is 5

Answer:

slope is 5

Step-by-step explanation:

get 2 points and apply:

(-14-(-9))/(-2-(-1))=-5/-1=5

What is a negative z score and when would it be in your favor to have one?

Answers

Answer:

A positive z-score indicates that a particular value is greater than the mean, a negative z-score indicates that a particular value is less than the mean, and a z-score of zero indicates that a particular value is equal to the mean.

Step-by-step explanation:

Examples: Calculating a Z-Score

Suppose we have the following dataset that shows the height (in inches) of a certain group of plants:

5, 7, 7, 8, 9, 10, 13, 17, 17, 18, 19, 19, 20

The sample mean of this dataset is 13 and the sample standard deviation is 5.51.

1. Find the z-score for the value “8” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (8 – 13) / 5.51  =  -0.91

This means that the value “8” is 0.91 standard deviations below the mean.

2. Find the z-score for the value “13” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (13 – 13) / 5.46  =  0

This means that the value “13” is exactly equal to the mean.

3. Find the z-score for the value “20” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (20 – 13) / 5.46  =  1.28

The negative z-score indicates that a particular value will be less than the mean.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The points regarding the z-score are as follows:

A positive z-score shows that a specific worth is more prominent than the mean.A negative z-score demonstrates that a specific worth is not exactly the mean.A z-score of zero shows that a specific worth is equivalent to the mean.

The negative z-score indicates that a particular value will be less than the mean.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

#SPJ2

Chose the graph which represents the solution to the inequality

Answers

Answer:

See answers below.

Step-by-step explanation:

 x  =  - 4x + 15             Change the ≤ to an = and solve for x    

4x =   4x          

5x  =       15

  x =    3           Now replace the equal sign with ≤

    x ≤ 3

The graph: closed circle dot at point 3 and shaded to the left . Can not see the graph but pick the one that starts at 3 and shaded to the left.

Find the value of 7u-8 given that -4u-5=3

Answers

Answer:

22

Step-by-step explanation:

-4u - 5 = 3

=> -4u = 8

=> u = -2

=> 7(-2) - 8

=> -14 - 8

=> -22

Therefore, -22 is our answer.

Hoped this helped.

Elizabeth bought lemons (l) and apples (a). Each apple costs 35¢ and each lemon costs 15¢. All together, she bought 17 lemons and apples for $3.95. Which system can be used to determine how many of each she bought?

Answers

Step-by-step explanation:

Given:

Lemons - l and apples - aa = 35¢, l = 15¢Number of apples and lemons = 17Cost of lemons and apples = $3.95 = 395¢

System as per question:

a + l = 1735a + 15l = 395

Or

a + l = 170.35a + 0.15l = 3.95

Step-by-step explanation:

Let the number of apples be a and lemons be l . Then ,

=> a + l = 17

Also ,

=> 35a + 15l = $ 3.95

Put the following equation of a line into slope-intercept form, simplifying all fractions, 6x+4y=-12

Answers

Answer:

Step-by-step explanation:

6x+4y=-12

subtract 6x from both sides in order to move 6x to the other side.

4y=-12-6x

divide 4 from the whole equation in order to make the 4y to y.

y= -3-6/4x

and to simply

y= -1.5x-3

or y= -3/2x-3

hey guys did I get any of these right, if not pls help me.

Answers

i think all of it are correct

Answer:Yep! All of them are right! Great job!

Step-by-step explanation:

Solve for u, z, y, or t.

Answers

Doubt --!!

Where is your question!??????

Find the value of y.

Answers

Answer:

125

Step-by-step explanation:

You can find the interior angle next to the angle with the value of 100, because a straight line has an angle of 180, so that angle would be 80. You can do the same with the interior angle next to 135, with that angle having a value of 45.

The interior angles of a triangle always have the sum of 180, so to get the last interior angle add 80+45 and then subtract that from 180. That angle would be 55.

To get Y take the value of the interior angle subtract 55 from 180, which would be 125.

nia saw a watch on sale for 42.50 the original price of the watch was 69.95 what is the approximate discount on the watch

Answers

Answer:

0.2745%

Step-by-step explanation:

69.95-42.50=27.45

27.45×100=27.45%

what is the answer Factorise: 2x² +7x+6.

Answers

Answer:

2x  + 3 )(x   + 2 )

Step-by-step explanation:

2x² + 7x + 6          

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:                                  

6 & 1  but 6 · 2 + 1 = 13 or 6 + 2 · 1  = 8 No

2 & 3  and 2 · 2 + 3 = 7    Yes

2x² = 2x  & x

 all signs are positive

   trinomial  factoring  (            )(            )

                                     (     +     )(      +    )

    2 and 3 are the numbers to use    (2x  + 3 )(x   + 2 )   or     (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x  + 3 )(x   + 2 )

Check 2x(x + 2) + 3(x + 2)

              2x² + 4x + 3x + 6

              2x² + 7x + 6         checked                            

Answer:

11[tex]x[/tex]+6

Step-by-step explanation:

2[tex]x^{2}[/tex]= 4[tex]x[/tex] because 2 *2 = 4 + x = 4[tex]x[/tex]

since 7[tex]x[/tex] is a like term we add it to 4[tex]x[/tex] and it becomes : 11[tex]x[/tex]

Since 6 does not have a variable we do not add anything to it so, it stays the same and the simplified expression becomes : 11[tex]x[/tex] + 6

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