Solve the following equations. Make sure you show each step of the work including any Distributive Property,
Inverse operations and combining/collecting of like terms that may be needed. Remember that what you do to
one side you must do to the other when using inverse equations. Label your response with the same letter of the
problem AND write the original problem first before you begin to solve.
A) 1d + 12 = 14-20
B) 4(20+5) = 10r
C) -2(5 + x) - 1 = 3(x + 3)

Answers

Answer 1

Answer:

A) -18 B) r=10 C) x=-4

Step-by-step explanation:

A) 1d + 12 = 14-20

Step 1: Simplify both sides of the equation.

1d+12=14−20

d+12=14+−20

d+12=(14+−20)(Combine Like Terms)

d+12=−6

d+12=−6

Step 2: Subtract 12 from both sides.

d+12−12=−6−12

d=−18

Answer:

d=−18

B) 4(20+5) = 10r

Step 1: Simplify both sides of the equation.

100=10r

Step 2: Flip the equation.

10r=100

Step 3: Divide both sides by 10.      

r=10

C) -2(5 + x) - 1 = 3(x + 3)

Step 1: Simplify both sides of the equation.

−2(5+x)−1=3(x+3)

(−2)(5)+(−2)(x)+−1=(3)(x)+(3)(3)(Distribute)

−10+−2x+−1=3x+9

(−2x)+(−10+−1)=3x+9(Combine Like Terms)

−2x+−11=3x+9

−2x−11=3x+9

Step 2: Subtract 3x from both sides.

−2x−11−3x=3x+9−3x

−5x−11=9

Step 3: Add 11 to both sides.

−5x−11+11=9+11

−5x=20

Step 4: Divide both sides by -5.

x=−4


Related Questions

Determine the correlation coefficient (r) for the linear relationship below.

Answers

Answer:

X Values

∑ = 53.5

Mean = 10.7

∑(X - Mx)2 = SSx = 151.086

Y Values

∑ = 6.9

Mean = 1.38

∑(Y - My)2 = SSy = 3.788

X and Y Combined

N = 5

∑(X - Mx)(Y - My) = 23.711

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 23.711 / √((151.086)(3.788)) = 0.9911

So r= 0.9911 or 99.11%



What is the slope of the line?

Answers

Answer:

1/3

Step-by-step explanation:

Slope formula: y2 - y1/x2 - x1

Select ALL choices that are zeros of this function y=x2 +12x +32

Answers

Answer:

{-8, -4}

Step-by-step explanation:

Rewrite this function y=x2 +12x +32 as y = x^2 + 12x + 32; " ^ " indicates exponentiation.

Set this x^2 + 12x + 32 equal to zero (to find the zeros):  

x^2 + 12x + 32 = 0.  Let's solve this using the quadratic formula, which applies when ax^2 + bx + c = 0:

       -b ± √(b^2 - 4·a·c)

x = -------------------------------

                    2a

The coefficients of the given quadratic are {1, 12, 32}.  Thus, the discriminant is

b^2 - 4ac, or 12^2 - 4(1)(32), or 144 - 128, or 16. Therefore, we have:

       -12 ± √16                                                     -12 ± 4

x = --------------------    which simplifies to:    x = --------------- = { -8, -4}

              2                                                                  2

The zeros are {-8, -4}

HELPPP PLEASE I NEED AN ANSWER

Answers

Answer:

C

Step-by-step explanation:

Hello please help me, i am in middle school, i failed two classes last semester and i failed one class this semester, will i flunk?

Answers

Answer:

u should be fine. if anything summer school should help you. college does not care about your middle school grades but you should try your hardest to pass. You have to at least pass

Step-by-step explanation:

summer school, if offered will help you. it isn’t going to be hard. you should not be worrying about your middle school grades, hun. you’ll be fine.

Work out 69% of 102.16m
Give your answer rounded to two Decimal Place

Answers

Answer:

70.49

Step-by-step explanation:

Finding the percent of a number is the same as multiplying the number by the percent in decimal form. In other words, diving the percent by (100) and then multiplying the reuslt by the number one wants to find the percent of.

69% of 102.16

= (69 / 100) * 102.16

= 0.69 * 102.16

= 70.4914

~ 70.49

Answer:

70 ( to 2.d.p)

Step-by-step explanation:

[tex]69\% \:of \:102.16m\\\\\\\mathrm{Convert\:}69\%\mathrm{\:into\:a\:decimal\:\\and\:multiply\:by\:}102.16\\69\%\:=\frac{69}{100}\\=0.69\\\\\mathrm{Multiply\:}0.69\mathrm{\:by\:}102.16\\\\=0.69\times\:102.16\\\\=70.4904\\\\=70[/tex]

Tyler owned the librarian late fees he had to pay a 3% fee on the cost of the books, which was $35.62. What was he charged for a late fee?

Answers

Answer:

$1.07 for the late fees.

Step-by-step explanation:

You can find the fee for this price by finding 3% of the $35.62 (total cost of the books). You can find this number by multiplying (35.62*.03).

35.62*.03

1.0686

Round up because you cannot have part of a cent.

$1.07 for the late fees.

please help me............

Answers

Answer:  167* and 562*

Step-by-step explanation:  62x72x89x57x81x93x75x8=167//562

The body of a dump truck is raised to empty a load of sand. How high is the 14-foot-long body from the frame when it is tipped upward by a 60° angle?

Answers

Answer:

12.12 feets

Step-by-step explanation:

Based on the attached diagram, we can apply trigonometric rule to obtain h :

Sinθ = opposite / hypotenus

Opposite = h

Hypotenus = 14

Sin 60 = h / 14

0.8660254 = h / 14

h = 0.8660254 * 14

Height, h = 12.12 feets

Write an equation of the line that passes through the given point and is perpendicular to the given line. 1 (-6, -4); y = 3x + 1​

Answers

Answer:

y= -1/3x - 6

Explain:

For the slope, you find the opposite reciprocal of the given slope. Then you plug in the given coordinates into the point-slope formula: y - y = m ( x - x ). So the expression would be y - (-4) = -1/3 ( x - (-6)). So the answer would be           y = -1/3x - 6.


Help please
Help please
Help please
Help please


Answers

Given:

The four table of values.

To find:

The table whose linear function has slope 2.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Consider any two points from each table and find the slope for each table.

For table 1, the two points are (2,1) and (6,-1). So, the slope of the linear function is:

[tex]m=\dfrac{-1-1}{6-2}[/tex]

[tex]m=\dfrac{-2}{4}[/tex]

[tex]m=\dfrac{-1}{2}[/tex]

For table 2, the two points are (0,8) and (2,4). So, the slope of the linear function is:

[tex]m=\dfrac{4-8}{2-0}[/tex]

[tex]m=\dfrac{-4}{2}[/tex]

[tex]m=2[/tex]

For table 3, the two points are (-4,4) and (-2,5). So, the slope of the linear function is:

[tex]m=\dfrac{5-4}{-2-(-4)}[/tex]

[tex]m=\dfrac{1}{-2+4}[/tex]

[tex]m=\dfrac{1}{2}[/tex]

For table 4, the two points are (-2,0) and (0,4). So, the slope of the linear function is:

[tex]m=\dfrac{4-0}{0-(-2)}[/tex]

[tex]m=\dfrac{4}{2}[/tex]

[tex]m=2[/tex]

Table 4 is the only table that represents a linear function whose slope is 2.

Therefore, the correct option is 4, Table 4.

If x=7 and y=−3, evaluate the following expression:3x−y2​

Answers

3(7)-(3)2 sub in the numbers
21-6=15
the answer is 15

Answer:

27

Step-by-step explanation:

3x−y2​= ? if x= 7 & y= -3

Step 1 insert the numbers where they go:

3(7)-(-3)2=

Step 2 the two negatives become a positive:

3(7)+(3)2=

Step 3 multiply:

21+6=

Step 4 add:

27

What is the angle of 1,2,3, and 4?​

Answers

Answer:

1=72

2=36

3=36

4=54

simplify
( 2 4/5 * 1 3/10) * 1 1/2 ​

Answers

Answer:

( 2 4/5 * 1 3/10) * 1 1/2 = 5 23/50

Step-by-step explanation:

( 2 4/5 * 1 3/10) * 1 1/2 = 14/5 x 13/10 x 3/2 = 546/100 = 5 46/100 = 5 23/50

HELP PLEASE ASAP i need the help right answers only!

Answers

Answer:

8

Step-by-step explanation:

good luck. hope this helps.

The correct answer would be 8

The line plot shows the result of a survey asking students how many hours they spent reading last week.
How many students spent 5 or more hours reading?

Line plot named as ALTDCTime Spent Reading Last WeekALTDC shows a number line from 1 to 9. The number line is divided into 8 equal parts. 3 dots on 3, 1 dot on 4, 2 dots on 5, 3 dots on 6, 1 dot on 7 and 2 dots on 8 are given.
A. 8
B. 2
C. 6
D. 4

Answers

Answer:

Based on the line plot picture that is attached below it can be calculated that a total of 15 students spent 5 or more hours last week reading. This can be easily calculated by adding all the x's on the marks of 5 hours or more. With both the boys and girl students combined the tally was the following

5 hours : 4 students

6 hours : 1 student

7 hours : 3 students

8 hours : 3 students

9 hours : 0 students

10 hours: 2 students

11 hours : 2 students

12 hours : 0 students

Step-by-step explanation:

Answer: B

its B because the line shows how much 5 were there and there was 2 dots

A rectangular prism has a width of 5cm, a height of 8 cm and a depth of 10cm. What is the volume of the prism

Answers

Answer:

400

Step-by-step explanation:

5 x 8 x 10 = 40 x 10 = 400

Answer:

400

Step-by-step explanation:

Write the expression using a positive exponent. Leave in fraction form and do not expand numbers, leave in exponential form.

For example, 2^-7 write as 1/2^7, do NOT write as 1/128 or 0.0078125. NO SPACES!

4w^-1

Answers

Answer:

Step-by-step explanation:

4w⁻¹ = 4/w¹ = 4/w

50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.

I know from the answer key that the answers are x=
[tex]3 \sqrt{10} [/tex]
and y=
[tex]2 \sqrt{10} [/tex]
but I'm not sure how to get there...​

Answers

Step-by-step explanation:

9 + y^2 = 49

y^2 = 40

y = √40 = 2√10

4.5/3 = 2√10/5x

22.5x = (3) 2√10

22.5x = 6√10

x = 6√10/22.5 = 3√10/11.5

adding 5 and subtracting 5 are____​

Answers

Answer:

I do not understand

Step-by-step explanation:

Answer:

This question makes no sense but they cancel out

Step-by-step explanation:

HELP ME ASAP!!!!!!!!!

Please help

See picture attached.


WINNER GETS THANKS, A STAR RATING-EXCELLENT AND BRAINLIEST!!!!!!!!!! Good Luck!


Happy Easter!


apokibunnyavatar

Answers

Answer:

23,26,29,32,35,38,41,44

Step-by-step explanation:

In mathematics, WHOLE NUMBERS  are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on.  Whole numbers are the real numbers which includes zero and all the positive integers. Whole numbers don't include negative numbers, fractions, or decimals.  


Heather needs to memorize words on a vocabulary list for Korean class. She has memorized 9 of the words, which is one-third of the list. How many words are
on the list?
words

Answers

There are 27 words on the list. I hope this helps.
27 works because 9(3)=27 and 9 is 1/3 of 27.


Write 95300 standard form

Answers

Answer:

9.53 x 10^4

Hope this helps.(~ ̄▽ ̄)~

Please mark as Brainiest.

THANKS. \^o^/

Jeff drew a circle inside a square, as shown below.
Which method can Jeff use to find the area of the
square not covered by the circle?

Answers

Answer:

3.14

Step-by-step explanation:

Answer:

Ok, I didn't find the graph but jeff can use the diameter of the circle as the diamation of the square

If the radius is (r) so the area is

A = d * d

A local taxi company charges a base fare of $3.20. The taxi company charges $0.40 for every minute the taxi is in service. If a passenger has $20, how many minutes can he travel in the taxi?


Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 42 minutes

Explanation:

0.40x + 3.20 = 20

0.40x = 16.8

x = 42 minutes

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

You start at (8, 3). You move down 1 unit. Where do you end?

Answers

Answer:

(8, 2)

Step-by-step explanation:

Initial point is: (x, y) = (8, 3)

When you move up or down, you change the y-coordinateWhen you move left or right you change the x-coordinate

Move down 1 unit:

(x, y) → (x, y - 1)

The new point is:

(8, 2)

Think About the Process What is true about a figure and an image created by a translation? The
vertices of parallelogram GRAM are G(-9, -9), R(-8, -6), A(-4,-6), and M(-5, -9). Graph
GRAM and G'R'A'M', its image after a translation 11 units right and 2 units up.
What is true about a figure and an image created by a translation? Select all that apply.
A. Each point in the image moves the same distance and direction from the figure.
B. The figure and the image are the same size.
C. Each point in the image has the same x-coordinate as the corresponding point in the figure.
OD. The figure and the image are the same shape.

Answers

C. I think it’s correct! Sorry

what is the simplified ratio of 6:4 please explain step by step​

Answers

Answer:

3:2

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

6 and 4 can be both divided by 2

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-x^2+73x-520
y=−x
2
+73x−520

Answers

Answer:

36.5

Step-by-step explanation:

y= -x²+73x-520

which can be represented as ax²+bx+c

a= -1, b= 73, c = -520

for maximum value of y,

the formula is

c - (b² / 4a)

= -520 - (73² / 4×(-1))

= -520 - (5329 / -4)

= -520 + 1332.25

= 812.25

Solving for x,

812.25 = -x²+73x-520

or, x²-73x+ 1332.25 = 0

Solving,

x= 36.5

Make x the subject of the formula
X + p = q​

Answers

Answer:

p+q=x

Step-by-step explanation:

Other Questions
2. Determine whether segment AB is tangent to the given circle12 pol2. AB12B13YesNo a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour (01.06 LC) Which statement is true about the substances present in a mixture? They always consist of the same element. They are always in the same state of matter. They can be separated by physical methods. They can only be separated by chemical methods. please help, this is very urgent!!! no links please, and also if ur answer is correct I'll give brainliest!!!! During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?32%20%16%12% What is the factored form of the polynomial 3x-3y Refer to the diagram below. What is the scale factor used to create the new shape. I will give brainliest if ur correct. if eleanor starts with 25.00 ml of a weak acid (the concentration is 0.1084 m), then how many ml of 0.1817 m naoh has to be added to reach the equivalence point After the U.S. film Django Unchained was recut and released in China, it performed poorly, partly because Chinese filmgoers had already seen the unedited film on DVD. What disadvantage of competing globally does this situation reflect? Combine the like terms to create an equivalent expression.2q+2+9 The first term of a geometric sequence is 4, and the common ratio is 5. What is the 5th term of the sequence?a.2,500b.12,500c.1,024d.500 Jesse has three one-gallon containers. The first3one has of a gallon of juice, the second hasgallon of juice and the third has of a gallon of juice.How many total gallons of juice does Jesse have? Write an equation in slope-intercept form of the line shown. (8, 4) (4, 1) In the human brain, the occipital lobe, controls vision. Which of the letters on the diagram above indicated the occipital lobe of the human brain? A) eB) aC) dD) c Ron Santana is interested in buying the stock of First National Bank. While the bank's management expects no growth in the near future, Ron is attracted by the dividend income. Last year the bank paid a dividend of $5.65. If Ron requires a return of 14 percent on such stocks, what is the maximum price he should be willing to pay for a share of the bank's stock? A jet aircraft is in level flight at an altitude of 30,000 ft with an airspeed of 500 ft/s. The aircraft has a gross weight of 19,815 lb, a wingspan of 53.3 ft, and an average chord length of 6 ft. The Oswald efficiency factor is 0.81 and the zero-lift drag coefficient is equal to 0.02. The jet has two turbofan engines, each producing a maximum thrust of 3,650 lb at sea level.Required:a. Create a plot of the drag polar for this aircraft for CL from 0 to 5. Plot CL on the vertical axis, CD on the horizontal axis, and do not include negative CL values. b. What is the total drag coefficient at the flight condition described above? c. What is the required thrust for level flight at this altitude in lb? d. If the pilot runs the engines at maximum thrust, what is the instantaneous rate of climb at this altitude and velocity? Throughout the book and in these final chapters, Krakauer points out several instances where Chris McCandless was in the vicinity of where he was trying to go or was closer to help than he knew. Why might Krakauer dwell on tracing just how close Chris was to being saved or coming out alive? Who painted the image above?a. Jean-Francois Milletb. Gustave CourbetC. Thomas Eakinsd. Honore Daumier 7.13 An intersection approach has a saturation flow rate of 1500 veh/h, and vehicles arrive at the approach at the rate of 800 veh/h. The approach is controlled by a pretimed signal with a cycle length of 60 seconds and D/D/1 queuing holds. Local standards dictate that signals should be set such that all approach queues dissipate 10 seconds before the end of the effective green portion of the cycle. Assuming that approach capacity exceeds arrivals, determine the maximum length