Solve the following equation using algebraic operations (4n-18=22)

Answers

Answer 1

Answer:

n=10

Step-by-step explanation:

22+18=40 40/4=10

Answer 2

Given

4n - 18 = 22

Add 18 to both sides:

(4n - 18) + 18 = 22 +18

4n = 40

Divide 4n to both sides

[tex]\frac{4n}{4}[/tex]=[tex]\frac{40}{4}[/tex]

n=10

Now if you have to you can substitute n into the original equation and see if they are equal to one another.

4n - 18 = 22

4(10) - 18 = 22

40 - 18 = 22

22 = 22

With this being done n = 10


Related Questions

Which correlation coefficient indicated the strongest linear relationship between the variables?
A: 0.65
B: -0.87
C: -0.52
D: 0.8

Answers

Answer:

B

Step-by-step explanation:

since the strongest correlation is either 1 or negative 1, and weakest is closer to 0,

now, lets order from weakest to strongest:

-0.52,0.65, 0.8, -0.87

Since -0.87 is closest to negative one than others to -1 or 1, it has the strongest linear relationship

The graph of a proportional relationship passes through (9, 18) and (1, y). Find y.

Answers

Answer:

2

Step-by-step explanation:

Because it's a proportional relationship and it goes through the point (9, 18) the equation is y = 2x so when x = 1, y = 2.

If y varies inversely as x and y = –9 when x = –11, find y when x = 66.

Answers

Answer:

[tex]y=\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]y=\frac{k}{x}[/tex]

[tex]-9=\frac{k}{-11}[/tex]

[tex]k=99[/tex]

[tex]y=\frac{99}{66}[/tex]

[tex]y=\frac{3}{2}[/tex]

Answer:

y=3 divided by 2

Step-by-step explanation:

F(x) = x^2, g(x) = 2/3 x^2 comparison

Answers

Answer:

g(x) is a vertical compression of f(x)

Step-by-step explanation:

Equation of graph 1 :[tex]f(x)=x^2[/tex]

Equation of graph 2 :[tex]g(x)=\frac{2}{3}x^2[/tex]

f(x)→a f(x)

Its is case of vertical stretch or compression

Vertical stretch if |a|>1

Vertical compression if 0<|a|<1

f(x)→a f(x)

So, [tex]x^2[/tex] →[tex]\frac{2}{3}x^2[/tex]

So, [tex]a= \frac{2}{3}=0.67[/tex]

So,0<|a|<1

So,It is a case of vertical compression

So, g(x) is a vertical compression of f(x)

Need by like 10 minutes

Answers

Answer:

The final answer is [tex]n > -1[/tex], which would be the first choice.

Step-by-step explanation:

-Solve the inequality:

[tex]-6n + 5 < 11[/tex]

-Subtract both sides by [tex]5[/tex]:

[tex]-6n + 5 - 5 < 11 - 5[/tex]

[tex]-6n < 6[/tex]

-When you are dividing by a negative number, which is [tex]-6[/tex], the inequality sign would change:

[tex]\frac{-6n}{-6} < \frac{6}{-6}[/tex]

[tex]n > -1[/tex]

So, the final answer would be [tex]n > -1[/tex].

Jerry has taken a random sample of students and determined the number of electives that each student in his sample took last year. There were 19 students in the sample. Here is the data on the number of electives the 19 students took: 6, 6, 8, 7, 7, 7, 8, 9, 10, 8, 7, 6, 9, 6, 8, 7, 9, 7, 10. The mean of this sample data is 7.63.

Answers

Answer:

10/19

Step-by-step explanation:

count how many is under 7.63

I need help with this too....Thanks In advance and will.give you five star and brainlist....

Answers

Answer:

1/8

Step-by-step explanation:

I think you mean under 5 minutes

1/4*1/2

1/8 probability that the next call will be a customer complaint and will be dealt with under five minutes

(I am not sure if I'm correct with the proportions)

the length of segment TQ= 29. explain how to find the length of segment QV. make sure to put the sentence in this form. statement then the because.
helpppp ):

Answers

Answer:

Length of segment QV = 35 units

Step-by-step explanation:

As shown in the figure attached,

Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,

"There are two pairs of the sides which are equal in measure."

Therefore, TS ≅ TQ and SV ≅QV

Since TS ≅ TQ,

3x + 2 = 29 [Given: TQ = 29 units]

3x = 29 - 2

3x = 27

x = 9

Another pair of the consecutive sides is,

SV ≅ QV ≅ (4x - 1)

By substituting the value of x,

QV = (4 × 9) - 1

     = 36 - 1

     = 35 units

Therefore, length of segment QV = 35 units

How do you convert a fraction to a decimal 1/6

Answers

Answer:

0.166666667

Step-by-step explanation:

to convert a fraction to a decimal, you divide the numerator (1) by the denominator (6)

2. A system of equations is solved by finding the intersections of when f(x) = g(x).
True or False?

Answers

Answer:

It's true

Step-by-step explanation:

The lines intersect where f(x) = g(x)

hope it helps!

The formula for finding the surface area of a triangular prism is SA = 2 B + Ph . TrueFalse PLZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPP MMMMMMMMMMMMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEe

Answers

Answer:

The Surface Area = 2 B + p h. So True

Step-by-step explanation:

Find the equation of the line that contains the point (−3,−10) and is parallel to the line 6x+5y=11. Write the equation in​ slope-intercept form, if possible.

Answers

Answer:

y = -1.2x - 13.6

Step-by-step explanation:

1. rearrange original question to find the gradient.

2. substitute gradient and points into y - y1 = m (x - x1)

Answer:

y = -1.2x - 13.6

Step-by-step explanation:

1. rearrange original question

2. substitute points into y - y1 = m (x - x1)

Two similar cylinders have radii of 28 inches and 32 inches. What is the ratio of their volumes?

Answers

Answer: A or B

Step-by-step explanation:

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Two sides of a parallelogram are in the ratio 5:4. If the perimeter is 54cm , the length of the larger side is -
9
11
12
15

Answers

Answer:

15 cm

Step-by-step explanation:

If we have two sides of a parallelogram in the ratio 5:4, then the other two sides must also be in the same ratio.

If the perimeter is 54, we can create the following equation regarding the length of each side

[tex]5x+4x+5x+4x=54\\\\18x=54\\\\x=3[/tex]

As our value for x is 3, and we know that the value for the larger side is 5x, we can simply plug in x to get the length of the larger side

[tex]5x\\\\5(3)\\\\15[/tex]

Bryan and his son, and Elton and his son all went fishing. Bryan caught as many fish as his son and Elton caught three times as many fish as his son. All together, they caught 25 fish. How many fish did Bryan catch?

Answers

Answer:

The answer is explained below

Step-by-step explanation:

This is a word problem, therefore to solve it the statement have to be writing in form of an equation and then solved.

Let the number of fishes caught by Bryan's son be x fishes. Since Bryan caught as many fish as his son, Bryan caught x fishes

Let the number of fishes caught by Elton's son be y fishes. Since Elton caught three times as many fish as his son, Bryan caught 3y fishes

All together, they caught 25 fish

Therefore it can be represented by the equation:

x + x + y + 3y = 25

2x + 4y = 25

2x = 25 - 4y

x = (25 - 4y)/2

The number of fish caught by Bryan is half of the difference between the total fish caught and four times the number of fish caught by Elton son

in each diagram the line BD bisects angle ABC. Find the measure of angle ABC​

Answers

Answer:

∠ ABC = 134°

Step-by-step explanation:

Given tat CD bisects ∠ ABC then

∠ DBC = ∠ ABD , substitute values

x - 33 = [tex]\frac{x}{2}[/tex] + 17 ( multiply through by 2 to clear the fraction )

2x - 66 = x + 34 ( subtract x from both sides )

x - 66 = 34 ( add 66 to both sides )

x = 100

Thus

∠ DBC = ∠ ABD = x - 33 = 100 - 33 = 67°

Hence

∠ ABC = ∠ DBC + ∠ ABD = 67° + 67° = 134°

20) After 8 hours, half of a 16-gram sample of a radioactive element remains. Find the constant k for this element for t hours, then use y=ne^-kt to write the equation for modeling it’s exponential decay
- please help me

Answers

Answer:

k = 0.086

Step-by-step explanation:

We have the equation

y=ne^(-kt)

where y is the amount of radioactive material after t hours, n is the initial amount of radioactive material, and k is some constant.

We know the following data:

t: 8 hoursy = n/2 (half of a radioactive element remains)

Replacing into the equation and solving for k:

[tex]y=ne^{-kt}[/tex]

[tex]\frac{n}{2}=ne^{-k8}[/tex]

[tex]0.5=e^{-k8}[/tex]

[tex]ln(0.5)=ln(e^{-k8})[/tex]

[tex]ln(0.5)=-k8ln(e)[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]k = 0.086[/tex]

What value of x will make the triangles similar by the sss similarity theorem?

Answers

The ratio = 15/20 = 3/4
21/x = 3/4
x = 28

Answer:

28

Step-by-step explanation:

If five cards are drawn from a deck of cards without replacement, what is the probability that at least one of the cards is a heart?

Answers

The probability would be 77.8%

Please answer the question stated below

Answers

Answer:

2968

Step-by-step explanation:

First make 112% into a decimal, now its 1.12, add all the scooters' sales from all years and multiply by 1.12 then add that number to the total sales of the scooters

Answer:

725 + 579 + 696 = 2000 (What a coincidence)

112% = 112 / 100 = 1.12

Multiply the increase

2000 x 1.12 = 2240

2240 is the amount of scooters sold.

Step-by-step explanation:

Vivian worked 19 hours more than Malik last month. If Vivian worked 7 hours for every 2 hours that Malik worked, how many hours did they each work? Note: these are proportion problems

Answers

Answer:

Malik 7.6

Vivian 26.6

Step-by-step explanation:

Vivian is working at the rate of 7hrs per 2 hours so basically 3.5hrs per hour Malik worked. In equation, it looks like:

V=3.5m where M is the number of hours Malik worked.

We know Vivian works 19 more hours than Malik and that in equation would be:

m+19 = V

So equate the two

3.5m = m+19

3.5m-m=19

2.55m=19

m=7.6

V=7.6+19 = 26.6

Determine the area of the rectangle.(Show all of your work)
Your answer
8 pd
Joe buys sneakers that normally cost $120.00. They are on sale for 30%
off. How much will one pair of sneakers cost, before tax?

Answers

The sneaker cost 84$ because 30% of 120 is 36 and since it’s 30% off then we have to subtract 36 from 120 which is 84

Identify an equation in point-slope form for the line parallel to y -
passes through (4.-5).
*+ 8 that
O A. y-5--3(x+4
O B. y-t-ix+5)
O C. y+5=(x-4)
O D. y-5--3(x-4)
SUBMIT
Helppp

Answers

I think it’s D but I’m not sure

what is measurement of angle 2 and 11

Answers

Answer:

Angle 2 = 40 degrees              Angle 11 = 60 degrees

Step-by-step explanation:

Start by using angle 1 to find angle 2

angle 1 is 140 + 2 is unknown = 180 degrees

140 + x = 180

-140        -140

x = 40

Angle 2 is 40 degrees

Now add together angles 2 and 9 to find the measure of angle 11

40 + 80 + x = 180

120 + x = 180

-120        -120

x = 60

Angle 11 is 60 degrees

Answer:

Angle #2 = 40 degrees              Angle #11 = 60 degrees

Step-by-step explanation:

.

What is the value of 4³÷ 2³ ?

Answers

Answer:

2^3 or 8

Step-by-step explanation:

[tex]4^3\div 2^3= \\\\(2^2)^3\div 2^3= \\\\2^{2\cdot 3}\div 2^3= \\\\2^6\div 2^3=\\\\2^{6-3}=\\\\2^3=\\\\8[/tex]

Hope this helps!

Answer:

8

Step-by-step explanation:

subtract because it is division

=2x2x2

=8

hope it helps- can u pls mark as brainliest?

Show and explain why 6 is not a solution to the inequality below.
2x - 9 ≥ 5

Answers

Answer:

x ≥ 7

Step-by-step explanation:

2x -9 ≥  5

          +9

      x ≥  14

           14/2

             =7

        x ≥ 7

write the equation of a line with a slope of 3 and a y-intercept of 4. do not use spaces in your response.

Answers

Answer:

No Spaces - y=3x+4

Step-by-step explanation:

Using the format y= Mx+ b , m representping the slope and b representing the y intercept, the correct equation would be y = 3x + 4. Hope this helps : )

The equation of the asked line is y = 3x+4

What is an equation?

The equation is the statement of equality between two expressions consisting of variables and/or numbers.

Given that, a line with a slope of 3 and a y-intercept of 4.

The standard equation of a line is;

y = mx+c

Therefore, putting the values we get,

y = 3x+4

Hence, The equation of the asked line is y = 3x+4

For more references on equations, click;

https://brainly.com/question/29538993

#SPJ2

What is m∠D? Enter your answer in the box.

Answers

Answer:

D = 32

Step-by-step explanation:

A+ B + E = 180 since they form a triangle

14+ 45 + E = 180

E = 180 -14-45

E =121

E on either triangle is the same since they are vertical angles

C+D+E = 180 since they form a triangle

27+ D + 121 = 180

D = 180-121-27

D =32

The number of patients treated at Dr. White's dentist office each day for nine days
is 16, 13, 15, 6, 21, 20, 12, 9, 12. Find the mean, median, mode, and range of
the data. If necessary, round to the nearest tenth.
A 13.8, 13, 12, 15
B 13.8, 12, 13, 27
C 15.8, 13, 12, 27
D 13, 15.8, 12, 15

Answers

mode:12
mean:13.8
range:15
median:13

Answer:

mean= 16+13+15+6+21+20+12+9+12/9

=13.8

median= 13

mode= 12

range= 15

2 - V19-(-2-4)
[-5-(-7)]2

Answers

Answer:

7

Step-by-step explanation:

1 Simplify  -2-4−2−4  to  -6−6.

2-19-(-6)\times (-5-(-7))\times 22−19−(−6)×(−5−(−7))×2

2 Remove parentheses.

2-19-(-6)\times (-5+7)\times 22−19−(−6)×(−5+7)×2

3 Simplify  -5+7−5+7  to  22.

2-19-(-6)\times 2\times 22−19−(−6)×2×2

4 Simplify  (-6)\times 2\times 2(−6)×2×2  to  -24−24.

2-19-(-24)2−19−(−24)

5 Remove parentheses.

2-19+242−19+24

6 Simplify  2-192−19  to  -17−17.

-17+24−17+24

7 Simplify.

7

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