combine like terms

-7+5x-2=15

Answers

Answer 1
If you combine like terms you get :

5x = 24

Step-by-step explanation:

[tex] - 7 + 5x - 2 = 15[/tex]

Combine like terms

[tex]5x = 15 + 7 + 2[/tex]

Further Workings :

Simplify

[tex]5x = 24[/tex]

[tex] \frac{5x}{5} = \frac{24}{5} \\ \\ x = 4.8[/tex]


Related Questions

the image is located below

Answers

Answer:

288 ft³

Step-by-step explanation:

Volume of the pyramid,

base area × height × (1/3)

= (9×8)×12/3

= 72×4

= 288 ft³

Please help‼️
Given O below, if XY and YZ are congruent, what is the measure of chord XY?

Answers

Answer:

11.2

Step-by-step explanation:

yz = 11.2

since the corresponding arc of yz and xy are same, their measures will ba same too

Answered by GAUTHMATH

Answer:

11.2

Step-by-step explanation:

good luck!

A one lane highway runs through a tunnel in the shape of one half a sine curve cycle

Answers

The sine curve equation, y = 10·sin(x·π/24), that models the entrance of the

tunnel with a cross section that is the shape of half of a sine curve and the

height of the tunnel at the edge of the road, (approximately 7.07 ft.) are

found by applying the following steps

(a) The equation for the sine curve is y = 10·sin(x·π/24)

(b) The height of the tunnel at the edge of the road is approximately 7.07 feet

The reason for the above answers are presented as follows;

(a) From a similar question posted online, the missing part of the question

is, what is the height of the tunnel at the edge of the road

The known parameters;

The shape of the tunnel = One-half sine curve cycle

The height of the road at its highest point = 10 ft.

The opening of the tunnel at road level = 24 ft.

The unknown parameter;

The equation of the sine curve that fits the opening

Method;

Model the sine curve equation of the tunnel using the general equation of a sine curve;

The general equation of a sine curve is y = A·sin(B·(x - C) + D

Where;

y = The height at point x

A = The amplitude = The distance from the centerline of the sine wave to the top of a crest

Therefore;

The amplitude, A = The height of half the sine wave = The height of the tunnel = 10 ft.

D = 0, C = 0 (The origin, (0, 0) is on the left end, which is the central line)

The period is the distance between successive points where the curve passes through the center line while rising to a crest

Therefore

The period, T = 2·π/B = 2 × Opening at the road level = 2 × 24 ft. = 48 ft.

T = 48 ft.

We get;

48 = 2·π/B

B = 2·π/48 = π/24

By plugging in the values for A, B, C, and D, we get;

y = 10·sin((π/24)·(x - 0) + 0 = 10·sin(x·π/24)

The equation of the sine curve that fits the opening is y = 10·sin(x·π/24)

(b) The height of the tunnel at the edge of the road is given by substituting

the value of x at the edge of the road into the equation for the sine curve

as  follows;

The width of the shoulders = 6 feet

∴ At the edge of the road, x = 0 + 6ft = 6 ft., and 6 ft. + 12 ft. = 18 ft.

Therefore, we get;

y = 10 × sin(6·π/24) = 10 × sin(π/4) = 5×√2

y = 10 × sin(18·π/24) = 10 × sin(3·π/4) = 5×√2

The height of the, y, tunnel at the edge of the road where, x = 6, and 18 is y = 5·√2 feet ≈ 7.07 ft.

Learn more about the sine curve here;

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What is the distance between point C and point D?

Question 5 options:


A)


17 units


B)


13 units


C)


12 units


D)


√85 units

Answers

Answer:

B. 13 units

Step-by-step explanation:

let

(x1 , y1) = (-4 , -6)

(x2 , y2) = (1 , 6)

distance between CD = root (x2 - x1)^3 + (y2 - y1)

= root {1 - ( -4)}^2 + {6 - ( -6)}^2

= root {1 +4}^2 + {6+6}^2

= root 5^2 + 12^2

= root 25 + 144

= root 169

= 13 units ans

12 units is the answer for ur question

Mariah swam her leg of the race in 24.98 seconds and Janet swam her leg of the relay race in 25.874 seconds. What was their combined time for their part of the relay?

Answers

Answer:

50.854 seconds

Step-by-step explanation:

24.98 + 25.874 = 50.854 seconds

Two cards are selected with replacement from a standard deck of 52 cards. Find the probability of selecting a heart and then selecting a diamond.

Answers

Answer: 50.2 is it  

Step-by-step explanation: thats easy

Probability helps us to know the chances of an event occurring. The probability of selecting a heart and then selecting a diamond is 144/2652.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Two cards are selected with replacement from a standard deck of 52 cards. Therefore, the probability of selecting a heart and then selecting a diamond is,

Probability = (12/52) × (12/51)

Probability = 144/2652

Hence, The probability of selecting a heart and then selecting a diamond is 144/2652.

Learn more about Probability:

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please help me asap!!!!!

Answers

Answer:

392

Step-by-step explanation:

1.49×10⁸/3.8×10⁵ = 392

50% of 80
50% of 48
50% of 15
25% of 120
25% of 90

Answers

1. 40
2. 24
3. 7.5
4. 30
5. 22.5

A swimmer dove off a board that was 50 ft above the water. The swimmer reached a depth of 15 ft in the pool. What number represents the swimmer's original height, in feet?​

Answers

9514 1404 393

Answer:

  50

Step-by-step explanation:

The number you choose depends on the location you consider to be zero height.

If we consider the surface of the pool to be zero height, and "up" to be the positive direction for measuring height, then the appropriate number for the original 50-ft height is 50.

Help
Plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

angle G

sin inverse (21/29) = 46.4

GH

c^2 - b^2 = a^2

29^2 - 21^2 = a^2

a = √(29^2 - 21^2)

GH = 20

therefore ans is B) <G = 46.4º, <I = 43.6º, GH = 20

please help me with this

Answers

9514 1404 393

Answer:

  92°

Step-by-step explanation:

The "givens" tell you the E and F are midpoints of their respective segments. That means EF ║ AB and angles DBF and EFC are "corresponding" angles with respect to transversal BC and those parallel lines. Corresponding angles are congruent, so ...

  m∠DBF = m∠EFC = 92°

Tại sao số mắt xích không được là bội số của số răng đĩa xích

Answers

Answer:

Nên sử dụng số răng lẻ cho đĩa xích dẫn động kết hợp với số lượng mắt xích chẵn để mài mòn đồng đều trên răng và trục lăn. Trong trường hợp này, một răng cụ thể của bánh xích không tiếp xúc với một mắt xích cụ thể của xích trong mỗi lần quay.

Step-by-step explanation:

Translated

It is preferable to use an odd number of teeth for the driving sprocket in combination with an even number of chain links for uniform wear and tear on the teeth and rollers. In this case, a particular tooth of the sprocket wheel does not come in contact with a particular link of the chain for every rotation.

What is the volume of this regular prism?

54.97 cubic inches
8.91 cubic inches
109.95 cubic inches
21.99 cubic inches

Answers

Answer:

A

Step-by-step explanation:

The volume of prism is b*h, base area is (2.5)*(3.24*(1.1)=8.91. Hence volume is 8.91*6.17=54.97

A collection of 30 coins consists of dimes and nickels. The total value is ​$1. 95How many dimes are​ there?

Answers

21 nickels and 9 dimes
9 dimes and 21 nickels

Find the surface area of a rectangular prism with a height of 16 feet, a width of 10 feet, and a length of 13 feet.
988 ft2
996 ft2
980 ft2
1000 ft2

Answers

Answer: 996 ft2

Step-by-step explanation:

Add up the area of all 6 sides of the prism:

(10 · 13) + (10 · 13) + (10 · 16) + (10 · 16) + (16 · 13) + (16 · 13)

= 130 + 130 + 160 + 160 + 208 + 208

=996 ft²

Answer:

B) 996 ft2

Step-by-step explanation:

Given the linear function f(x) 2/3x + 6 evaluate f(-6)

Answers

the answer is on the photo

Write a 6-digit number that fits the description.

1. The value of its thousands digit is 5,000.
2. The value of its hundreds digit is 700.
3. Its tens digit is 2 less than the thousands digit.
4. Its hundred thousands digit is the same as the hundreds digit.

The number is?​

Answers

Answer:

175731 is one of the answers of the 6 digit number

some others are:

275732

375733

475734

575735

675735

775734

875732

The 6-digit number is 175731.

What is the place value strategy?

The place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, use your places values, such as tens and hundreds. It is possible to employ enlarged notation or compensation. Using regrouping techniques, you can make the problem easier by compensating for addition.

Let the number would be ABCDEF

Given the condition that the value of its thousands of digits is 5,000.

So C = 5

Given the condition that the value of its hundreds of digits is 700.

So D = 7

Given the condition that Its tens digit is 2 less than the thousand digits.

So E = 5-2 = 3

Given the condition that Its hundred thousand digits is the same as the hundred digits.

So B = 7

Therefore, all possible answers:

275732

375733

475734

575735

675735

775734

875732

Hence, the 6-digit number is 175731

Learn more about the place value strategy here:

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Hey I need helping with solving thank you

Answers

Answer:

the answer to this equation is c (10)

Y=square root of x compare to y= - square root of x how they differ and why

Answers

Answer:

Simply because x=y2 doesn't imply that y=

x

.

llana has 70¢ in her purse. All the coins have the same value. What could describe all the coins she has in her
purse?
71 pennies
8 dimes
1 0 0
14 nickels
3 quarters

Answers

Answer:

14 nickels

Step-by-step explanation:

One nickel is worth 5 cents, so find the value of 14 nickels by multiplying 14 by 5:

14(5)

= 70

So, 14 nickels is equal to the 70 cents that she has in her purse.

The correct answer is 14 nickels.

what is the circumference of a circle with 60 in. as the radius

Answers

Answer:

60π

Step-by-step explanation:

circumference of a circle = 2πr, where r = radius

given r = 60 in

2πr = 2×π×60

= 60π

= 188.5 (rounded to the nearest tenth)

Which of the following shows the extraneous solution to the logarithmic equation below?

2 log Subscript 5 Baseline (x + 1) = 2

Answers

Answer:

x=4

Step-by-step explanation:

log5(x+1)=1, (x+1)=5, x=4

Answer:

x= -6

Step-by-step explanation:

i got it wrong and the answer is -6

A speed training service wants to explore the effectiveness of some of the classes offered to their clients. They randomly select 300 high school athletes and record their 50-meter dash time. The 300 high school athletes are then randomly assigned to three groups with 100 in each. One hundred athletes will take a circuit training class, 100 athletes will take an interval training class, and 100 athletes will take a plyometrics training class. At the end of 10 weeks of taking these classes, their 50-meter dash time will be recorded a second time. Their times will be analyzed to see which class showed the greatest overall improvement in times.


Select all the sentences that correctly identify the components of the experiment.


The experimental units are subjects.

The subjects are the 50 athletes.

There is one treatment, the 50-meter dash.

There are three treatments.

One treatment is a circuit training class.

The factor is the type of class.

There are 10 levels of the factor.

Answers

Answer:

A,D,E,F

1,4.5,6

The experimental units are subjects.

There are three treatments.

One treatment is a circuit training class.

The factor is the type of class.

ED2021

During a​ one-month promotional​ campaign, Fran's Flix gave either a free DVD rental or a​ 12-serving box of microwave popcorn to new members. It cost the store ​$1 for each free rental and ​$2 for each box of popcorn. In​ all,46 new members were signed up and the​ store's cost for the incentives was ​$86. How many of each incentive were given​ away?

Answers

43 for popcorn or 86 for rental dvds

What is the solution to the system of equations below?

2x+3y=6
x-3y=9

Answers

Answer:

Step-by-step explanation:

2x + 3y = 6

2x = 6-3y

x = (6-3y)/2

x - 3y = 9

(6-3y)/2 -3y = 9

(6-3y)/2 -6y/2 = 9

(6-9y)/2 = 9

6 - 9y = 9×2

-9y = 18-6

y = 12/-9

y = -4/3

2x + 3y = 6

2x + 3(-4/3) = 6

2x -4 = 6

2x = 6+4

2x = 10

x = 10/2

x = 5

Therefore x = 5 and y = (-4/3)

I used subsitution method

please click thanks and mark brainliest if you like :)

Answer:

x = 5; y = -4/3

Step-by-step explanation:

One equation has 3y. The other equation has -3y. Add the equations to eliminate y and solve for x.

     2x + 3y = 6

(+)     x - 3y = 9

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

      3x        = 15

x = 5

2x + 3y = 6

2(5) + 3y = 6

3y + 10 = 6

3y = -4

y = -4/3

Answer: x = 5; y = -4/3

Joes bait shop brought in a gross profit in sales of $4,100.00 in the month of June. During the same month their operating expenses totaled $1990.00. Calculate the net income of the bait shop for the month of June

Answers

Answer:

2110

Step-by-step explanation:

4100-1990=2110

6.(a) A laptop was bought at Canadian $ 770. If the tax of 20% and 13% VAT should be paid, find the least selling price of it in Nepali rupee that prevents the shopkeeper from loss?​

Answers

The LEAST selling price of the laptop should be ;

$1024.1 in other to avoid loss.

Price of laptop = $770

Tax = 20%

VAT = 13%

TO avoid loss ;

both the VAT percentage and TAX must be added to the price of the laptop:

Total percentage = VAT + TAX = (20 + 13) = 33%

THEREFORE, Least selling price should be :

Price of laptop * (1 + 33%)

770 * 1.33

= $1024.1

Learn more about TAX :

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Can someone please help
Me

Answers

Answer:

$3735

Step-by-step explanation:

2/5 = 8/20

8/20 + 7/20 = 15/20 = 3/4

3/4*4980 = 3735

Find the missing side. Round your answer to the nearest tenth

Answers

Answer:

14.7

Step-by-step explanation:

tan(73)=48/x

or, x=48/tan(73)

or, x=14.7 (rounded to the nearest tenth)

Answered by GAUTHMATH

(a) How many different three-letter initials can people have: , (b) How many different three-letter initials with none of the letters repeated can people have: , (c) How many different three-letter initials with letters repeated begin with an X: , (d) How many different three-letter initials begin with a F and end in a D: .

Answers

Answer:

Step-by-step explanation:

A) 26*26*26 =17576

B)26*25*24=15600

C)26*26=676

D) 26

Other Questions
PromptT y tu amigo Juan estn de visita en Oruro, Bolivia y mientras esperan el autobs que los llevar all, comienza esta conversacin. Todo lo que tu amigo diga estar escrito, pero tu tendrs que escribir las partes en blanco. Recuerda que debes estudiar las palabras del vocabulario de la leccin 51 y despus repasar la voz pasiva en la leccin 53 para que puedas contestar lo que tu amigo te pregunte.Si encuentras una palabra subrayada (underlined), debes usar la voz pasiva en el espacio siguiente. Si encuentras una palabra en ingls que est entre parntesis, debes traducirla al espaol.Por ejemplo: Todo lo que est en rojo es lo que t debes escribir.-Miguel cmo ests?-Muy bien y t?(you).-Tengo una pregunta - Dime-Cundo se fund la Ciudad de Mxico?-La Ciudad de Mxico fue fundada en 1520.Ahora es tu turno. Buena suerte! -Hola Benito(1)______________.-Estoy muy triste. Anoche perd mi maleta.-Qu?. Tu maleta (2)______ ___________?-S, y en ella estaba mi pasaporte y sin l no puedo (3)________(to return) a mi pas.-Vamos a (4)_________ (to see) lo que podemos hacer.-Bueno, seorita, necesito(5) _______(to know) si ya llam a la polica-Si seor, la polica ya(6) ___ ____________.-Benito, por favor llama un taxi.-Est bien. Pero eso va a(7) ________ (to depend) si la polica llega pronto.-Me pregunto cundo construyeron este hotel.-Eso es fcil, ah dice que este hotel (8)_____ ___________ en 1975.-Ah viene la polica. Y traen tu maleta.-Seor Lobo?S, y esa es mi maleta el ladrn la fue a (9)_________?(to return an object)S, esta maleta (10)_______ _________ en el Aeropuerto de Oruro anoche. Read the following excerpt from a patient's health record:Plan:Since there is significant risk for cancer, we will schedule Mr. Joules for a radical orchidectomy. We will send samples to Pathology to confirm the diagnosis and staging. I outlined the general treatment and follow-up plan with Mr. Joules. Today, we will check a sperm count to establish a baseline, as azoospermia and oligospermia are risks of surgery.Which of the following statements is NOT true, given the health record information?A. The patient will undergo a spermatolysis.B. The patient is at significant risk for testicular cancer.C. If the patient lacks living sperm, this is a risk for surgery.D. The patient will be scheduled to have his testicle removed.E. A low sperm count is a risk for surgery. (3[tex]\sqrt{7} \\[/tex]+7[tex]\sqrt{3}[/tex])/[tex]\sqrt{21}[/tex] Question 7 of 40Which of the following best describes a natural resource? AsA. Currency used to exchange for or purchase productsB. A cultural or religious ideology used by humansC. Products created by humans for improved living conditionsD. A substance, energy source, or organism used by humansSUBMIT When the apple fall towards tje earth tje earth move up to meet the apple.Os it true.If yes why is the earth motion not noticeable archaeologists learn how early people developed skills and tools by Present the ways to observe interference patterns on thin films. Why the thickness of thin films should be in scale of wavelength? Other than the American Stroke Association, which other organization created these trainings?a. American CPR Organization b. American Heart Association c. American Cancer Societyd. American First Aid Association When using a scientific calculator, what is the the correct order of buttons topress to enter the number 3.5 x 1015?O A. [EE] [1] [5] [3] [] [5]B. [1] [5] [3] [5] [EE]C. [3] [.] [5] [EE] [1] [5]O D. [1] [5] [3] [] [5] [EE]SUBMIT How have people been lately good? bad? something else? In the figure above, AD and BE intersect at point C, andthe measures of angles B, D, and E are 98, 81, and 55,respectively. What is the measure, in degrees, ofangle A ? (Disregard the degree sign when gridding youranswer.) 3. Of the events that you researched in Part II, which do you think was most important to the womens suffrage movement in the United States? Why? "Mt Everest is the glory of all Nepali". Justify the statement YOU HAVE A GARDEN HOSE AND A 0.5 LITER CONTAINER AND A 0.3 LITER CONTAINER. YOU NEED TO MEASURE OUT 0.1 LITER OF WATER. HOW DO YOU DO IT Which has had the most significant effect on the rise of globalization?A. the fall of communism B. command economiesC. computer technology D. isolationism What does the reducing agent do in a redox reaction? (A.P.E.X) For the function F defined by F(x)=x22x+4, find F(|4|).A. 8B. 4C. 12D. 28 I need help please. The question is already there. Tysm. 20 points. Here is a list of fractions 18/45 14/30 10/25 8/20 16/40 one of these fractions are not equivalent to 2/5 write down this fractions Explain the importance of leisure activities.