How many solutions are in 17x-8=3x+16

Answers

Answer 1
There is only one solution that satisfies the equation.
14x = 24
x = 24/14 = 12/7
Answer 2
17x-8=3x+16
-3x. | -3x.
———————-
14x-8=16
+8| +8
———————-
14x=24
——. ——. X=12/7 ______
14. 14. Or In decimal x=1.714285
5
Or x= 1 ——
7

Related Questions

How much
was it check out the photo and please awnser i really need it for my exam And thank you

Answers

Answer:

She would need at least 11 buses leaving 17 spare seats.

Step-by-step explanation:

171+22+13= 206

206/20= 10.3

10.3 = 11

if x= 1 y=3 satisfy the linear equation 3x - 4y +9=0​

Answers

Answer:

Step-by-step explanation:

3(1) + 4(3) + 9 = 0

3 + 12 + 9 = 0

24 ≈ 0                                                                                                                                                                                                                                                                                                                                                                              

Please answer now!!!

Answers

Answer:

Step-by-step explanation:

(

81

m

6

)

1

2

Simplify the expression.

9

2

(

1

2

)

(

m

6

)

1

2

Cancel the common factor of

2

.

9

1

(

m

6

)

1

2

Simplify the expression.

9m3

Answer:

Step-by-step explanation:

Given

(81 m^6) ^ (1/2)

Solution

change 81 to 9^2

(9^2 m^6)^(1/2)

Now multiply the 1/2 by each of the powers

9^2*(1/2)  m^6^1/2

Answer 9 m^3

Comment

It's hard to show this, but the 1/2 only multiplies by power. It doesn't influence the base. That's because 1/2 is a power itself.

What’s the answer for this?

Answers

Answer:2x

Step-by-step explanation:

43.7826087 rounded to the nearest tenth

Answers

Answer:

43.8

When you round look at the number after the one your rounding up to. If its greater than 5 round up. If its lower than 5 keep it the same number

43.8 is that answer hope this helps

pls answer ASAP
Lesson: Probability
Ty in advance

Answers

The probability can be calculated as given because there are a total of 52 cards.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of card = 52

Number of king of heart = 1

P(getting a king of hearts) = 1/52

P(getting a spade) = 13/52 = 1/4

P (getting a 5 or a club) = (16/52) = 4/13

P(getting a 5 or a 7) = 4/52 + 4/52 = 8/52 = 2/13

P(getting a card which is not a spade) = 1 - 1/4 = 3/4

P(getting 11 of clubs) = 1/52

Thus, the probability can be calculated as given because there are a total of 52 cards.

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Answer:

1. 1

2. 51

3. 7

4. 9

Step-by-step explanation:

hope i helped

A car travelled a distance of 50km in an hour.what distance did it travel in 30min at the same speed? ​

Answers

1 hour = 60 minutes

Distance travelled in 60 minutes = 50 km

Distance travelled in 1 minute = 50/60

Distance travelled in 30 minutes = 50/60×30

50/60×30 = 25 km

OR

A car travelled 50 km in 60 minutes. For 30 minutes, half the distance that is 25 km.

The quadratic function graphed has a range of y 23.
O True
False

Answers

The quadratic function graphed has a range of y
•true

The annual water usage in rockport increases at a rate of 10% every year as the town gets bigger. this year, the town used 6,740 megaliters of water. in 7 years, how much water will be used annually?
if necessary, round your answer to the nearest hundredth.

Answers

4618 mega liters of water, in 7 years, will be used annually.

What is interest?

Interest is the outlay you pay to borrow money. Interest is often deliberated as an annual percentage of a loan amount.

here, we have,

I=PRT/100

=6740×10/100×7

=674×1×7

=4618

the nearest hundredth is a 4618 this is the answer.

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Answer:

13,134.35 megaliters

Step-by-step explanation:

Plug in 6,740 megaliters for the initial amount, 0.1 for the rate of increase, and 7 years for the time elapsed.

y

= a(1+r)t

y

= 6,740(1+0.1)7 Plug in values

y

= 6,740(1.1)7 Add

y

= 6,740(1.94871…) Simplify

y

= 13,134.35325… Multiply

Round to the nearest hundredth.

13,134.35325… → 13,134.35

To the nearest hundredth, Rockport will use 13,134.35 megaliters of water annually.

1. Trig Function
2. Coordinate value (x, y)
3. Value in terms of sinθ and/or cosθ

sinθ = _________________

cosθ = _________________

secθ = _________________

cscθ = _________________

tanθ = _________________

cotθ = _________________

Answers

The values of the given trig functions in terms of sinθ and/or cosθ are:

sinθ = tanθ.cosθ

cosθ = sinθ/tanθ

secθ = 1/cosθ

cscθ = 1/sinθ

tanθ = sinθ/cosθ

cotθ = cosθ/sinθ

Trigonometric functions

From the question, we are to determine the values of the given trig functions in terms of sinθ and/or cosθ

sinθ

NOTE: tanθ = sinθ / cosθ

∴ sinθ = tanθ.cosθ

cosθ

From above, we can write that

cosθ = sinθ/tanθ

secθ

Secant is the inverse of cosine

∴ secθ = 1/cosθ

cscθ (cosecθ)

Cosecant is the inverse of sine

∴ cscθ = 1/sinθ

tanθ

tanθ = sinθ/cosθ

cotθ

Cotangent is the inverse of tangent
∴ cotθ = 1/tanθ

But, tanθ = sinθ/cosθ

∴ cotθ = cosθ/sinθ

Hence, the values of the given trig functions in terms of sinθ and/or cosθ are:

sinθ = tanθ.cosθ

cosθ = sinθ/tanθ

secθ = 1/cosθ

cscθ = 1/sinθ

tanθ = sinθ/cosθ

cotθ = cosθ/sinθ

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Use the following net to find the volume of the solid figure it represents.

Answers

Answer:

  (d)  48 yd³

Step-by-step explanation:

The net shown is of a rectangular prism. To find its volume, we need to know its dimensions. The volume will be the product of those dimensions.

__

edge lengths

The area of a rectangle is given by the formula ...

  A = LW

So, if we know one of the dimensions, we can find the other from ...

  W = A/L . . . . . divide by L

For the right-most rectangle, the area is 24 yd², and its length is given as 6 yd. Then the other dimension of that rectangle is ...

  W = 24 yd²/(6 yd) = 4 yd

__

For the left-most rectangle, the area is 12 yd², so its width is ...

  W = 12 yd²/(6 yd) = 2 yd

__

volume

Now we know the dimensions of the cuboid are 6 yd by 4 yd by 2 yd. Its volume is ...

  V = LWH = (6 yd)(4 yd)(2 yd) = 48 yd³

The volume of the solid figure is 48 yd³.

The volume of the solid figure is 48 cubic yd if the length, width, and height of the solid figure are 6, 4, and 2 yd respectively option fourth is correct.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

We have a net of the solid figure shown in the picture.

From the figure, the face has 24 square yards area and one side length is given, we can calculate the width of this face:

24 = 6×w

w = 4 yd

From the face that has 8 square yards area, we can calculate the height of the solid net:

8 = 4h

h = 2 yd

Volume of the solid net = 6×4×2 = 48 cubic yd

Thus, the volume of the solid figure is 48 cubic yd if the length, width, and height of the solid figure are 6, 4, and 2 yd respectively.

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What is the volume, in cubic inches, of a cube with an edge length of 12 inch? Explain or show your reasoning.

Answers

Answer:

1,728

Step-by-step explanation:

v = a³

v = 12³

v = 1,728 in³

Please Help I Don't Understand.

Answers

BE and CD are parallel, so the triangles ABE and ACD are similar. Then the following relation holds:

AE/AD = AB/AC

10/(10 + 8) = x/(x + 6)

Solve for x :

10 (x + 6) = x (10 + 8)

10x + 60 = 18x

8x = 60

x = 60/8 = 7/5

pls help me pls it's my homework

Answers

Answer:

i think its just water bro

A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme temperatures, he needs to check the weather continuously to make sure the gas in his truck remains in liquid form. The gas he uses freezes at −40° F and evaporates at 140° F. Part A: Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form. (2 points) Part B: Describe the graph of the inequality completely from Part A. Use terms such as open/closed circles and shading directions. Explain what the solutions to the inequality represent. (4 points) Part C: In January 1989, the temperature in Nome, Alaska dropped to −49° F. Would the gas in the driver's truck have remained in liquid form so he could have driven on this day? Why or why not? (4 points)

I need part b


Also I need it asap please and thanks

Answers

The answers to the options are:

The inequality that represent the temperatures  is -40°F < x  <140°FOpen interval −49° F is not in the interval of  -40°F ad -140°F and as such, he cannot drive.

What is the inequality of the temperature?

This inequality is known tp imply that the normal body temperature is taken (subtracted) from the minimum and maximum body temperature.

Note that in case A, the The inequality that represent the temperatures  is less than sign.

In case b, it is an open interval because it means that in -40°F to -140°F , it is not equal to as that is the reason that  the gas cannot stay liquid.

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You deposit $1600 in a bank account. Find the balance after 3 years for each of the
following situations:
The account pays 2.5% annual interest compounded monthly.
The account pays 1.75% annual interest compounded quarterly.
The account pays 4% annual interest compounded yearly.

Answers

These are the answers to your questions I hope it helps

Craig went bowling with $25 to spend. he rented shoes for $5.00 and paid $4.00 for each game. What was the greatest number of games he could have played?
A. 5
B. 7
C. 6
D. 4

Answers

Answer: A

Step-by-step explanation:

Given:

Budget = $25

Shoes rental = $5.00

Price per game = $4.00

To find the greatest number of games he played...

First, subtract the rent for the shoes from the budget.

25 - 5 = 20

Second, divide the remaining money or budget by the price per game.

20 ÷ 4 = 5 (greatest number of games played)

Lastly, check if the expense is the same as the original amount of money.

5 (shoes) + 4(5) (number of games played)

5 + 20 = 25 (original amount of money)

Hope it helps!!! Please mark as brainliest. Thank you :D

PLEASE ANSWER
What is the degree of the polynomial -2x²y² – ½ z?

- 1
- 2
- 4
- 6

Answers

Answer: B) 2

Detailed Answer:

The degree of a polynomial is the highest power in the polynomial. Here the highest power is 2 hence the degree is 2. Polynomials with the degree 2 are also called quadratic polynomials.

plumber a charges an initial fee of $45 plus a rate of $60 per hour. Plumber B charges $225 flat. Explain how you would determine the number of hours it will take for both plumbers to charge the same amount? HELP IM TAKING A TEST!

Answers

Answer:

3 Hours

Step-by-step explanation:

Plumber A.

Initial fee: $45

Per Hour: $60

Plumber B.

Full rate: $225

To determine the number of hours it will take for both plumbers to charge the same amount you have to start with $45.

Then add 60$ every hour.

$45 + $60 = $105

$105 + $60 = $165

$165 + $60 = $225

Therefore, it takes 3 hours for them to charge the same rate.

Maria says the mean of the scores 7, 8, 3, 0, 2 is 5, because she added the scores and divided by 4. Is she correct? Explain why or why not.​

Answers

Answer:

She is wrong.

Step-by-step explanation:

The mean score is

7 + 8 + 3 + 0 + 2= 20

We then divide it by the number which is 5

20/5= 4.

Therefore, Maria is wrong.

This is because she divided by 4 instead of 5, as she didn't include the rational number 0.

What is the discriminant of the quadratic equation 0 = -x² + 4x − 2?

Answers

Answer: 8

Step-by-step explanation:

The discriminant is [tex]b^2-4ac[/tex]

in the equation:

[tex]-x^2+4x-2[/tex]

A = -1, B = 4, C = -2

plug into equation

[tex]4^2-4(-1)(-2)[/tex]

[tex]16-8[/tex]

⇒ [tex]8[/tex]

What is the probability that the spinner lands on an even number or on the unshaded section? one-fifth two-fifths three-fifths four-fifths

Answers

The probability that the spinner lands on an even number or on the unshaded section is; 3/5

How to find the probability?

From the spinner attached, we see that the number of sections on the spinner is 5 sections.

Now, we can also see that;

Number of even numbers section = 2

Number of shaded sections = 1

Thus, probability that the spinner lands on an even number or on the unshaded section is;

P(even number or unshaded section) = (2 + 1)/5 = 3/5

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Which expression correctly represents "ten times the difference of a number and six"?

Answers

Answer:

10*(n-6)

Step-by-step explanation:

Break up the equation above and use words. ex.

10 (times) n (minus) 6

                         ^

               this is the difference  

Pls solve question 4b. Verrry urgent . Ok tyy

Answers

Answer:

[tex]y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}[/tex]

Step-by-step explanation:

Given equation:

[tex]y = 3x^2 - 9x + 17[/tex]

Factor out 3 from the first 2 terms:

[tex]y = 3(x^2 - 3x) + 17[/tex]

Divide the coefficient of x by 2 and square it:  (-3 ÷ 2)² = 9/4

Add this inside the parentheses and subtract the distributed value of it outside the parentheses:

[tex]y = 3\left(x^2 - 3x+\dfrac{9}{4}\right) + 17-\dfrac{27}{4}[/tex]

Factor the parentheses and combine the constants:

[tex]y = 3\left(x-\dfrac{3}{2}\right)^2+\dfrac{41}{4}[/tex]

how do i do this could you show step by step please?​

Answers

Answer:

x = 2

Step-by-step explanation:

This is a 45-45-90 special right triangle. The legs in this triangle are equal and the hypotenuse is leg multiplied with √2. Refer to the picture at the bottom.

One leg is x, the second leg is x and hypotenuse x√2.

[tex]x \sqrt{2} = 2 \sqrt{2} \\\\\text{Divide both sides with } \sqrt{2} \text{ to isolate } x.\\\frac{x \sqrt{2}}{\sqrt{2}} = \frac{2 \sqrt{2}}{\sqrt{2}}\\\\x = 2[/tex]

helppppp fast Write The (9m)^4 without exponents

Answers

Hi Student!

Looking at the problem, we are given a variable with a coefficient that is to the power of 4.  We are asked to write the same expression but without exponents which means that we need to factor out the exponents to each of the items inside of the parenthesis.

Expand the expression

[tex](9m)^4[/tex][tex](9)^4*(m)^4[/tex]

Simplify the expression

[tex]6561*m^4[/tex][tex]6561m^4[/tex]

Therefore, the final answer for writing the expression [tex](9m)^4[/tex] without exponents would be [tex]6561m^4[/tex] after expanding the expression.

b divided by 7-12=8


What is b?

Answers

Answer:

140

Step-by-step explanation:

b/7-12=8

b/7=8+12  add

b/7=20

b=7*20    multiply

b=140

answer is 140 it is right answer

11. Find the total surface area.
4 in.
6 in.
2 in.

Answers

Answer:

Appearantly, you forgot to mention the question

In 2009, a principal of $3600 was invested at 3.75% interest, compounded annually. let t be the number of years since 2008. let y be the value of investment, in dollars. Write an exponential function showing the relationship between y and t.

Answers

Answer:

3,600 x (1.0375) ^ 1

Step-by-step explanation:

Compund interest formula.

IA * (r + 1) ^t

IA = Initial amount; r = rate (as decimal); t = time (in years)

IA = 3600

r = .0375

t = 1 (2008-2009)

3,600 x (1.0375)^1

-- Gage Millar, Algebra 1/2 Tutor, (Pending Pre-Calc Tutor)

What is the remainder when f(x) = x³- 13x² + 40x + 18 is divided by x-7? Show your work.

Answers

Answer:

remainder = 4

Step-by-step explanation:

using the remainder theorem

when f(x) is divided by (x - a) then the remainder is f(a)

so when f(x) is divided by (x - 7) the remainder is f(7) , that is

f(7) = 7³ - 13(7)² + 40(7) + 18

      = 343 - 13(49) + 280 + 18

      = 343 - 637 + 298

      = 4

Hence, the remainder is [tex]4[/tex].

What is the remainder value?

The remainder is the amount "left over" after performing some computation. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient.

Applying the remainder theorem

In general when [tex]f(x)[/tex] is divided by [tex](x - a)[/tex] then the remainder is [tex]f(a)[/tex].

So, here when [tex]f(x)[/tex]  is divided by [tex](x - 7)[/tex]  the remainder is [tex]f(7)[/tex], that is

[tex]f(7)=7^3-13(7)^3+40(7)+18\\=343-13(49)+280+18\\=343-637+298\\=4[/tex]

Hence, the remainder is [tex]4[/tex].

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