- 2x – 117 = = 10x + 59

Answers

Answer 1

Answer:

[tex]\huge\boxed{x=-\dfrac{44}{3}=-14\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]-2x-117=10x+59\qquad|\text{add 177 to both sides and subtract}\ 10x\ \text{from both sides}\\\\-2x-10x-117+117=10x-10x+59+117\\\\-12x=176\qquad|\text{divide both sides by (-12)}\\\\\dfrac{-12x}{-12}=\dfrac{176}{-12}\\\\x=-\dfrac{176:4}{12:4}\\\\x=-\dfrac{44}{3}[/tex]


Related Questions

Sydney simplifies the expression 2csc(-y) with the work below. What did she do wrong? 2csc(x+y)= 2/sin(x-y)
=2/cos x cos(-y)+sin xsin(-y)
=2/cos x cos y - sin xsin y
=2/cos( x +y)
= 2 sec (x + y)​

Answers

Answer:

We know that:

csc(x) = 1/sin(x)

Now we want to work with:

2csc(x+y)

The first step is:

2csc(x+y)= 2/sin(x-y)

This is correct so far.

Now we need to use the relation:

sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

Then:

sin(x - y) = sin(x)*cos(-y) + sin(-y)*cos(x)

sin(x) is an odd function, then: sin(-y) = -sin(y)

and cos(x) is an even function, then:

cos(-y) = cos(y)

Then we get:

sin(x - y) = sin(x)*cos(y) - sin(y)*cos(x)

then:

2/sin(x-y) = 2/(sin(x)*cos(y) - sin(y)*cos(x))

Now let's look at what she did:

2/sin(x-y) = 2/(cos x cos(-y)+sin xsin(-y))

Here is her error, she replaced:

sin(x - y) by cos x cos(-y)+sin(x)sin(-y)

This relation is for the cosine function, not the sine one, so here is her mistake.

Answer:

[tex]sin(\alpha -\beta )\neq cos \alpha[/tex] [tex]cos\beta +sin\alpha[/tex] [tex]sin\beta[/tex]

Step-by-step explanation:

I just did the test

What is the probability of rolling a six on a fair die?

Answers

Answer: 1/6

Step-by-step explanation: To find the probability of rolling a six,

let's use our ratio for the probability of an event.

number of favorable outcomes / total number of outcomes

Since only one side of a die has a six on on it, the number of favorable

outcomes for rolling a six is 1 and since there are six sides to a die and it's

equally likely that the die will landy on any of these sides, the total number

of outcomes is 6.

So the probability of rolling a six is 1/6.

y = 2x + 4 and y = 3x
+ 2

Answers

2x+4=3x+2
2x=3x-2
-1x=-2
X=2
Hope this helps!

24 = 2w - 10 Solve for w, simplify your answer as much as possible

Answers

Answer:

the answer is 17

Step-by-step explanation:

2w-10=24

10+24=34

34/2=17

so w=17

Answer:

w=17

Step-by-step explanation:

help me pliss
which one is supposed to be correct?​

Answers

A is the answer I think
i am pretty sure it is A

Tally marks are always
recorded in bunches of
(4 5 1 2)​

Answers

Answer:

what is the ?

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

All the answers you need is at the top​

Answers

Answer:

I don't know if you need help, but the answer to the question in the picture is indeed A. :)

100 POINTS PLZ HELP ME

This graph shows a proportional relationship.




What is the constant of proportionality?


Enter your answer as a ratio in simplified form by filling in the boxes.


$$


A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 1 over 4 end fraction comma 3 over 8 end fraction right parenthesis.

Answers

Answer:

I dont see a graph, but the constant of proportionality the ratio between two directly proportional quantities. two quantities are directly proportional when they increase and decrease at the same rate

Step-by-step explanation:

if you add a graph, ill edit my answer

hope this helps!

Amber bought 3 kg of walnuts for $6.75 per kg and 4 kg of almonds for $8.69 per kg. She gave the cashier a $100 bill. What should Amber get back in change?

Answers

She should get $44.59 back in change

3(6.75) + 4(8.79) = 20.25 + 35.16 = 55.41

100 - 55.41 = $44.59

Given the statement ΔQRS ≅ ΔXYZ, list all congruent parts you can conclude about the two triangles. Explain.

Answers

Answer:

Side QR is congruent to Side XY.

Side RS is congruent to Side YZ.

Side SQ is congruent to Side ZX.

Angle Q is congruent to Angle X.

Angle R is congruent to Angle Y.

Angle S is congruent to Angle Z.

Step-by-step explanation:

Side QR is congruent to Side XY because triangle QRS is congruent to triangle XYZ and each point of a triangle is in corresponding order with a point of the other triangle. For example, Q matches up with X since they both are listed first in their respective sequence.

The price listed for 4 dinner plates at a home store is $23.88. What amount will Jane need to pay, if she decides to purchase 10 such dinner plates?

Answers

If you want to answer this, then you’ll first have to figure out how much money the one plate costs. So you would divide $23.88 by 4 and the number you get is how much they paid for one plate.

Next you would have to take the number you get from the division problem and multiply that by 10. That will give you your answer for how much she will need to pay.

Work:
$23.88 / 4 = 5.97
5.97 x 10 = 59.70

She needs to pay $59.70 for the plates.

You need to know the number of different arrangements possible for five distinct letters. You decide to use the permutations rule, but your friends tells you to use 5!. Who is correct

Answers

Answer:

Both, you and your friend, are correct.

Step-by-step explanation:

5 P 5 = 5!

A shortcut I learned is that in the permutation equation nPn when n is the same on both sides, it is equal to if you used factorial, n!.

Answer:

Both Methods are correct..!!.Thanks for ASK Me...!!

Help&EXPLAIN

Don’t use for points or will be reported and I’ll take the points back

Answers

Answer:

B = 243°

Step-by-step explanation:

Full revolution = 360°

360 - 117 = 243

Answer:

243 degrees

Step-by-step explanation:

The angle of a full circle = 360 degrees

360 - 117 = 243

Find the pattern. What numbers come next?
61, 54, 47, 40,

Answers

Answer:

33

Step-by-step explanation:

It's decreasing by 7

The relation is the descending the series by 7 and the next term is 33.

We have to determine, find the pattern and what numbers come next

We have given that, 61, 54, 47, 40.

What is the series?

A series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other.

61-54=7

54-47=7

47-40=7

So the next term is

40-7=33

Therefore the relation is the descending the series by 7 and the next term is 33.

To learn more about the series visit:

https://brainly.com/question/25870256

Help&EXPLAIN

Don’t use for points or will be reported and I’ll take the points back

Answers

Answer:

A. obtuse

Step-by-step explanation:

This is because in an obtuse angled triangle one of its angle is greater than 90° and here angle RQS = 112° which is greater than 90°, so it's a obtuse triangle.

Answer:

A. obtuse triangle

Step-by-step explanation:

the degree of RQS is greater than 90º

- Kirk is reading a book and found that after 5 days he had read 180 pages.
rate is Kirk reading the book in (b) If the book is 765 pages long, how many
days will it take him to read the book at
the rate you found in (a)?

Answers

Answer:

21.25 days

Step-by-step explanation:

We first need to find the rate that he read the book for the first 5 days:

180 (pages)/5 (days)= 36

So he reads 36 pages a day. Now we need to find how many days it will take him to read the whole book, while reading 36 pages a day.

765 (total pages)/36 (pages he reads in a day) = 21.25

Have a wonderful day, my friend.

Find the area of the composite figure. First, find the area of the triangle. 3 cm Triangle Area = [?] cm2 6 cm Rectangle Area = [] cm2 9 cm Total Area of Composite Figure = [ ] cm2 Enter​

Answers

Answer:

The area of the triangle is 9 and the area of the regtangle is 54 so when you add them you will get 63 i hope it will help!

what is the slope of the line that passes through the points (5,9)and (-3,9).

Answers

Answer:

[tex]\displaystyle m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (5, 9)

Point (-3, 9)

Step 2: Identify

x₁ = 5, y = 9

x₂ = -3. y = 9

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m=\frac{9-9}{-3-5}[/tex][Slope] [Fraction] Subtract:                                                                               [tex]\displaystyle m=\frac{0}{-8}[/tex][Slope] [Fraction] Divide:                                                                                  [tex]\displaystyle m=0[/tex]

Need help! (5 3/4 1 5/6) - 6 7/12

Answers

Answer:

Step-by-step explanation:

7/12 / 3/10 = 35/

18

= 1 17/

18

≅ 1.9444444

Are 6(n + 3) - 4 and 6n + 14 equivalent expressions?​

Answers

Answer:

yes

Step-by-step explanation:

because if you multiply 6 and n it is 6n and 6 x 3 are 18 but subtract 4 and it is correct

yes, they are because they both have a sum of 20

Hi can someone help me out. This is due by the end of the day.​

Answers

4/10 = 2/x

simplify 4/10 into 2/5

2/5 = 2/x

now to prove it algebraically, cross multiply
2x = 10
x = 5

the answer is c

Answer please I would appreciate it :)

Answers

Answer:

136 units²

Step-by-step explanation:

5x7=35

5x7=35

6x7=42

1/2(4)(6)=12

1/2(4)(6)=12

35+35+42+12+12=136

determine whether ABCD is a parallelogram The vertices are A(-2,3) , B(3,2), C(2,-1) and D(-3,0)

Answers

Answer:

Yes, this is a parallelogram

Step-by-step explanation:

Figure D'E'F'G'is a dilation with center (0,0) of figure DEFG. What is the scale factor? Enter your answer in the box.

Answers

The scale factor is 4.

Important information:

Figure D'E'F'G' is a dilation with center (0,0) of figure DEFG. Scale factor:

From the given figure it is clear that:

DG = 2

D'G' = 8

The scale factor is:

[tex]k=\dfrac{D'G'}{DG}[/tex]

[tex]k=\dfrac{8}{2}[/tex]

[tex]k=4[/tex]

Therefore, the scale factor is 4.

Find out more about 'Scale factor' here:

https://brainly.com/question/19896181

What the expression is?

Answers

Answer:

29

Step-by-step explanation:

Answer:

The answer is 29

Tara wants to draw rectangles that each have an area of 24 square inches. The length and width of each rectangle are whole numbers of inches.​

Answers

Answer:

it could be the width is 8 and the length is 3

Step-by-step explanation:

3 x 8= 24 hope this helps

The graph shows the relationship between sugar and water in a fruit punch recipe.
Write an equation to represent the graph in terms of y and x.
(PLEASE HELP ME)

Answers

Answer:

41

Step-by-step explanation:

The answer will be 42

Mrs. Jordan participates in a math contest. She completes each question in 1/2
a minute. How long does it take Mrs. Jordan to complete 12 questions?

Answers

it takes mrs. jordan 24 minutes to complete 12 questions.

if she completes each question in 1/2 a minute, then:

1/2 / 12 questions = 24 minutes.

Mhanifa please help I need this done ASAP! I will mark brainliest. I don’t want people putting random answers! Thanks Mhanifa for all the help you give :) random answers will be reported y’all so you ain’t gonna get away with it!

Answers

Answer:

A. Obtuse isoscelesD. Right scalene

Step-by-step explanation:

Triangle 1

This is isosceles as 2 sides marked equal and it has 135° angle which is obtuse as is between 90° and 180°

Correct option is

A. Obtuse isoscelesTriangle 2

This is right triangle and all sides have different lengths.

Correct option  is

D. right scalene

I need help understanding how to solve an equation like this I'm struggling bad​

Answers

Answer:

plot 1 on the y axis first, go up one point, to the right 3, then keep this pattern going

Step-by-step explanation:

next plug in x values (1/3x)

D= domain, which is located on the x axis

for this reason, substitute D values for x

Other Questions
On a sunny spring day, a student is playing on a game board painted on the concrete at a school playground. The student notices that an areapainted white is cooler than an area painted dark blue.Why is the white area cooler than the dark blue area?A. The white area has reflected more light energy than the dark blue area.B. The white area has absorbed more light energy than the dark blue area.C. The white area has radiated more infrared energy than the dark blue area.D. The white area has absorbed more infrared energy than the dark blue area. PLEASE FAST ANSWER ME PLEASEEEDuring the election for class president, 30% of the students voted for Ruby, and 70% of the students voted for Ellie. 500 students voted in total. How many MORE students voted for Ellie than for Ruby? Name the two extremists according to MLK Jr. 10points Variation in DNA is the direct result of which of the following? *Asexual ReproductionCrossing OverInterphaseSomatic Cells Hi can someone help me out. This is due by the end of the day. 4x + 5y = 227x - 3y = -32 The price listed for 4 dinner plates at a home store is $23.88. What amount will Jane need to pay, if she decides to purchase 10 such dinner plates? 9) 8.081 ++ 0.6 = 10.20110)- 3.328 = 0.96 I need help understanding how to solve an equation like this I'm struggling bad help me pls!!!! :c rip 1.The splitting of a heavy, unstable nucleus into two lighter nuclei is called _____.a. Fissionb. Fusionc. Radioactive Decayd. Isotopes Sydney simplifies the expression 2csc(-y) with the work below. What did she do wrong? 2csc(x+y)= 2/sin(x-y)=2/cos x cos(-y)+sin xsin(-y) =2/cos x cos y - sin xsin y =2/cos( x +y) = 2 sec (x + y) PLEASE HELPP!!!2.A facility has lain off five employees because of downsizing. The Federal Unemployment Tax Act(FUTA) states that:a. The employees will not receive unemployment checks for more than six monthsb. The employees will receive unemployment checks and part of the funds will come from thefacility's routine unemployment taxc. The facility's human resources department determines the unemployment policiesd. The employees will not have to file personal tax returns while they are unemployed after fertilization a single cell divides successfully to form a multicellular structure what happens next in order for this structure to develop tissues and organs to meet the needs of the organism 9.16 rounded to the nearest hundredth The sale price of a swing set is $90. What was the original price? (2 points)SALE75% OFF!HELPPP! A substance joined by this type of bond shares electrons 4Select the correct answer.What does the number, or density, of field lines on a source charge indicate?OAdirection of charge on the source chargeB.amount of charge on the test chargeOc.amount of charge on the source chargeODdirection of charge on the test chargeResetNext You need to know the number of different arrangements possible for five distinct letters. You decide to use the permutations rule, but your friends tells you to use 5!. Who is correct 2. How does Carbon get into animals (like humans and dogs and such)?A They gain carbon through photosynthesisB They gain carbon by eating it.C They gain carbon by breathing it in.D Trick Question! There is no Carbon in Animals!