How many solutions does the equation 5x+17=4(3x−1) have?

Answers

Answer 1

Answer:

one solution = 3

Step-by-step explanation:

Let's solve your equation step-by-step.

5x+17=4(3x−1)

Step 1: Simplify both sides of the equation.

5x+17=4(3x−1)

5x+17=(4)(3x)+(4)(−1)(Distribute)

5x+17=12x+−4

5x+17=12x−4

Step 2: Subtract 12x from both sides.

5x+17−12x=12x−4−12x

−7x+17=−4

Step 3: Subtract 17 from both sides.

−7x+17−17=−4−17

−7x=−21

Step 4: Divide both sides by -7

-7x/-7 = -21/-7 = 3


Related Questions


Which is the most reasonable measure for the capacity of a bathtub?
O 5 liters
© 159 liters
O 159 milliliters
1000 milliliters

Answers

Answer is 159 litters

In the number 3,941,608,572, which digit is in the hundred millions place?

Answers

Answer:

9

Step-by-step explanation:

A hundred millions is: 100,000,000

looking at the number the number in the place hundred millions place is 9, so the answer is 9.

Answer:900,000,000

The digit is 9

Step-by-step explanation:

Which Which value of x makes this equation true? -3x+10=5x-8

value of x makes this equation true? -3x+10=5x-8

Answers

Answer:

9/4

Step-by-step explanation:

-3x+10=5x-8

or, -3x-5x = -8-10

or, -8x=-18

or, 8x=18 (i.e. - is cancelled)

or, x=18/8

i.e. x=9/4

Hence, the value of x is 9/4

Answer:

The value of x is 9/4

Step-by-step explanation:

-3x+ 10 = 5x - 8

Add 3x both side

-3x + 3x + 10 = 5x + 3x - 8

10 = 8x - 8

Now, Add 8 both side

10 + 8 = 8x - 8 + 8

18 = 8x

8x = 18

Now, Divide by 8 from both side

8x/8 = 18/8

x = 9/4

Thus, The value of x is 9/4

FOR VERIFICATION ONLY:

-3x + 10 = 5x - 8

-3(9/4) + 10 = 5(9/4) - 8

-27/4 + 10 = 45/4 - 8

-27 + 4 × 10/4 = 45 - 8 × 4/4

-27 + 40/4 = 45 - 32/4

13/4 = 13/4

Hence, L.HS = R.H.S

-TheUnknownScientist

Find the radius of a sphere with a surface area of $4\pi$ square feet.

Answers

Answer:

r = 1 feet

Step-by-step explanation:

Given that,

The surface area of the sphere, A = 4π feet²

We need to find the radius of the sphere.

The formula for the surface area of the sphere is given by :

[tex]A=4\pi r^2[/tex]

Where

r is the radius of the sphere

Put all the values,

[tex]4\pi = 4\pi \times r^2\\\\r=1[/tex]

So, the radius of the sphere is equal to 1 feet.

Angle PKL and angle MKN are complementary angles. The measure of angle PKL is twice the measure of angle MKN.

a. Write one equation to find x,
b. What is the measure of angle MKN
c. Solve for x.

Answers

Answer:

∠MKN = 30°

Step-by-step explanation:

∠PKL = 2x

∠MKN = x

2x + x = 90

3x = 90

x = 30

∠MKN = 30°

I need the answer fast pls

Answers

Answer:

B

Step-by-step explanation:

It's B because that's the only answer that talks about the highest temperature, which is mentioned in the question

The answer is B




Hope this helps

Find the radius and circumference of this pizza. Round to the nearest hundredth if necessary

Answers

Need the image of it?

What is the distance between (-8,2) and (4,4)

Answers

Answer:

d = 2√3

Step-by-step explanation:

Please Help!! I WILL MARK BRAINLIEST

Answers

Answer:

f-¹(x) = 2x – 8

f-¹(4) = 2(4) – 8 —> f-¹(4)= 8 - 8 =0

What is the scale factor from ADEF to AABC?
10
6
20
12
А
7
14

Answers

Answer:

The scale factor is 1/2

Step-by-step explanation:

Given

[tex]\triangle DE F[/tex] and [tex]\triangle ABC[/tex]

Required

The scale factor from [tex]\triangle DE F[/tex] to [tex]\triangle ABC[/tex]

Take a corresponding side in both triangles.

We have:

[tex]DE= 20[/tex]     [tex]AB = 10[/tex]

The scale factor from [tex]\triangle DE F[/tex] to [tex]\triangle ABC[/tex] is:

[tex]k =\frac{AB}{DE}[/tex]

[tex]k =\frac{10}{20}[/tex]

[tex]k =\frac{1}{2}[/tex]

Portia has purchased a new aquarium for her fish. It is in the shape of a hexagonal prism. 3a) How much water can Portia’s new aquarium hold? * 1 point a) 166.28 cubic inches b) 790.28 cubic inches c) 956.56 cubic inches d) 3120 cubic inches e) 6240 cubic inches

Answers

Answer:

D. 3120

Step-by-step explanation:

How many sides does a hexagon have? Six. Let's begin our equation with 6. The area of a triangle formula would be: 1/2 bh. And a hexagon is just six triangles put together. Now our equation is: 6 (1/2 bh) What's bh then? B (base)= 8in. The base is usually always at the bottom. Now we take 10 and add it into the equation. Next we would multiply this by 13. Our equation is now: 6(1/2*8*10)*13. What do you get then? 3120.

For Part B:  Portia's new fish require complete darkness for 12 hours a day. Rather than buying a blackout curtain for her room, she decides to make an aquarium cover out of a tropical print, with a blackout liner. How much tropical print fabric will she need to purchase in order to cover the top and sides of the aquarium?

Now, we're dealing with surface area. What is surface area, anyway? Surface area is the sum of all faces. There are 2 hexagonal faces and 6 sides.

What is 6*1/2 *8? 24! Now what's 10*24? That's right, 240!

8*13=104

6(104)=624

624+240=864

Complete the function table

Answers

Answer:

8, 6, 3, 2, 1

Step-by-step explanation:

g(x) = -x + 3

using g(x),

g(-5) = (-1 x -5) + 3

= 5 + 3

= 8

g(-3) = (-1 x -3) + 3

= 3  + 3

= 6

g(0) = 0 + 3

= 3

g(1) = -1 + 3

= 2

g(2) = -2 + 3

= 1

A theater company charges $7.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets. WITCH ONE

c + 7.5a

7.5(c + a)

15(c + a)

7.5c + a

Answers

Answer:

I believe it is 7.5c + a

Step-by-step explanation:

when a variable is placed beside a number, you will multiply the number by the variable. here, we know the the variable means kids. 7.5 per kid that buys tickets, plus the adults. Hope that helps!

Rob can complete his bus route in 4 hours. Joan can complete her bus route in 3 hours. If they both left the terminal at 3:00 am and after each completed route returned to the terminal, determine the next time they would leave the terminal at the same time.

Answers

Answer:

3:00 pm

Step-by-step explanation:

Given

[tex]Rob = 4\ hrs[/tex]

[tex]Joan = 3\ hrs[/tex]

[tex]Start\ Time = 3:00\ am[/tex]

Required

The next time they leave at the same time

To do this, we first list out the multiples of 4 and 3 (i.e. their time of completing each route)

So, we have:

[tex]Rob: 4, 8, 12, 16, 20...[/tex]

[tex]Joan: 3,6,9,12,15,18....[/tex]

The least common multiple in the above is:

[tex]Least = 12hrs[/tex]

This means that they will meet at the terminal after 12 hours

So, their meeting time is:

[tex]Time = 3:00am + 12\ hrs[/tex]

[tex]Time = 3:00\ pm[/tex]

What linear equation is represented by the table?

Please hurry!

Best answer gets Brainliest!!!!

A) Y= 2x

B) y= 4x

C) y= 4x -2

D) y= 2x - 2

Answers

Answer:

y = 4x - 2

Step-by-step explanation:

linear equation - y = mx + b

where m = slope and b = y intercept

The y intercept is the y value of the coordinate where x = 0

Looking at the table, we notice that when x = 0, y = -2

Which means that the y  intercept ( b ) = -2

Slope = change in y over change in x

As y goes up 4 x goes up 1

Thus, slope ( m ) =  4

Now we plug in the identified slope and y intercept into " y = mx + b "

we get that the equation is y = 4x - 2

A) Y=2x


Sorry if it’s incorrect but that is the answer I think is correct

PLEASE HELP!

Find the x value.

Answers

Answer:

72

Step-by-step explanation:

every angle in a triangle adds up to 180

57 + 51 + x = 180

x = 72

Answer:

The answer to the question is:

x=72°

Step-by-step explanation:

The total angles of a triangle is 180°

x+51°+57°=180°

x+108°=180°

x=180°-108°

x=72°

Solve for x.
4x - 14
x + 85
x = [?]

Answers

Answer:

x = 33

Step-by-step explanation:

4x - 14  = x + 85

3x = 99

x = 99/3

x = 33

A bag contains 10 marbles: 2 are green, 2 are red, and 6 are blue. Yolanda chooses a marble at random, and without putting it back, choose another one at random. What is the probability that both marbles she chooses are green? Write your answer as fraction in simplest form.

Answers

Answer:

2/10 = 1/5

Step-by-step explanation:

Glven that (x + 2) Is a factor of the polynomial f(x) = x ^ 3 - 4x ^ 2 - 19x - 14 , factor completely

Answers

Answer:

Factors of the polynomial are (x+2) (x+1) (x-7)

The length of one rectangle in a quilt is 6 inches. Its width is 3 inches. About how many of these rectangles do you need to cover an area of 7,500 square inches?

Answers

Step-by-step explanation:

Area=2(L+W)

A=2(6+3)

A=2(9)

A=18in²

therefore, 7500/18

=416.66in²

When 12 radios were left, how many hours had gone by?
Hellpp

Answers

12 hours.

If we look at the graph, we see that when there are 12 radios left, hours is equal to 12.

Please solve!
l = 48.1 m, w = 51.62 m, h = 3.42 m

Answers

Answer:

Volume? Surface area?

Step-by-step explanation:

Volume=8491.59

Surface area=5647.93

The graph above shows the cost, in dollars, of apples as
a function of the number of pounds of apples purchased
at a particular grocery store. The equation above defines
the cost C, in dollars, for p pounds of pears at the same
store. Which of the following statements accurately
compares the cost per pound of apples and the cost per
pound of pears at this store?
A. Apples cost approximately $0.07 less per pound
than pears do.
B. Apples cost approximately $0.04 less per pound
than pears do.
C. Apples cost approximately $0.73 less per pound
than pears do.
D. Apples cost approximately $0.62 more per pound
than pears do.

Answers

Your answer:



Your answer is A

The accurate statement is A. Apples cost approximately $0.07 less per pound.

Cost of Apples per pound using the given graph:

The constant of proportionality would give us the cost of per pound. From the graph, when number of pounds (p) = 3, cost in dollars (C) = 4.

Constant of proportionality = C/p = 4/3

Therefore, Cost of apples per pound = 4/3 = $1.33 (approximated)

Cost of Pears per pound using the given equation:

[tex]C = \frac{7}{5} p[/tex]

The constant of proportionality of the equation function will give us the cost per pound for pears.

From the equation, the we can deduce that [tex]\frac{7}{5}[/tex] represents the cost of pears per pound (constant of proportionality).

Thus:

Cost of pears per pound = 7/5 = $1.40

The difference between the cost per pound of pears and the cost per pound of apples would be:

$1.40 - $1.33 = $0.07

Therefore, we can conclude that apples cost approximately $0.07 less per pound.

Learn more about constant of proportionality here:

https://brainly.com/question/11703625

Determine the rate of change of the function given by the table.
A) 2
B) 1
C) -1
D) -2

Answers

Hi! The answer is A.
All i did was

5-3=2
6-4=2
7-5=2
8-6=2

They all equal to 2 so the answer is 2 :)

Find the radius of convergence and the interval of convergence.
[tex]\displaystyle \sum \limit_{n=1}^\infty \frac{x^\text{n}}{2^\text{n}(n+1)^2}[/tex]

Answers

Answer:

Radius of Convergence: 2

Interval of Convergence: [-2, 2]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Exponential Rule [Multiplying]:                                                                     [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Dividing]:                                                                         [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]

Calculus

Series Convergence Tests

P-Series:                                                                                                            [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{1}{n^p}[/tex]Direct Comparison Test (DCT)Alternating Series Test (AST)Ratio Test:                                                                                                         [tex]\displaystyle \lim_{n \to \infty} \bigg| \frac{a_{n + 1}}{a_n} \bigg|[/tex]

Radius of Convergence (ROC)

Ratio TestInterval bound

Interval of Convergence (IOC)

Testing endpoints

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{x^n}{2^n(n + 1)^2}[/tex]

Step 2: Find ROC

Apply Ratio Test

[Series] Set up [Ratio Test]:                                                                           [tex]\displaystyle \lim_{n \to \infty} \bigg|\frac{x^{n + 1}}{2^{n + 1}(n + 2)^2} \cdot \frac{2^n(n + 1)^2}{x^n} \bigg|[/tex][Ratio Test] Rewrite exponentials [Exponential Rule - Multiplying]:           [tex]\displaystyle \lim_{n \to \infty} \bigg|\frac{x^n \cdot x}{2^n \cdot 2(n + 2)^2} \cdot \frac{2^n(n + 1)^2}{x^n} \bigg|[/tex][Ratio Test] Simplify:                                                                                     [tex]\displaystyle \lim_{n \to \infty} \bigg| \frac{x}{2(n + 2)^2} \cdot (n + 1)^2 \bigg|[/tex][Ratio Test] Multiply:                                                                                     [tex]\displaystyle \lim_{n \to \infty} \bigg| \frac{x(n + 1)^2}{2(n + 2)^2} \bigg|[/tex][Ratio Test] Evaluate limit:                                                                             [tex]\displaystyle \bigg| \frac{x}{2} \bigg| < 1[/tex][Ratio Test] Isolate x:                                                                                     [tex]\displaystyle |x| < 2[/tex]

Our ROC is 2.

Step 3: Find IOC

Test endpoints

[ROC] Find interval bound:                                                                           [tex]\displaystyle -2 < x < 2[/tex]

x = -2

Substitute in x [Series]:                                                                                 [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{(-2)^n}{2^n(n + 1)^2}[/tex][Series] Rewrite [Exponential Rules - Multiplying]:                                     [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{(-1)^n2^n}{2^n(n + 1)^2}[/tex][Series] Simplify:                                                                                           [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{(-1)^n}{(n + 1)^2}[/tex]

Test convergence of modified series: Alternating Series Test

[AST] Condition 1 [Limit Test]:                                                                       [tex]\displaystyle \lim_{n \to \infty} \frac{1}{(n + 1)^2} = 0 \ \checkmark[/tex][AST] Condition 2 [aₙ vs bₙ comparison]:                                                     [tex]\displaystyle \frac{1}{(n + 2)^2} \le \frac{1}{(n + 1)^2} \ \checkmark[/tex]

At x = -2, the series is convergent.

∴ Current IOC is -2 ≤ x < 2 or [-2, 2); 2 undetermined

x = 2

Substitute in x [Series]:                                                                                 [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{2^n}{2^n(n + 1)^2}[/tex][Series] Simplify:                                                                                           [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{1}{(n + 1)^2}[/tex]

Test convergence of modified series: Direct Comparison Test

[DCT] Condition 1 [Define comparing series]:                                             [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{1}{n^2}[/tex][DCT] Condition 1 [Test convergence of comparing series]:                     [tex]\displaystyle p = 2 > 1, \ \sum \limit_{n = 1}^\infty \frac{1}{n^2} \ \text{convergent by p-series}[/tex][DCT] Condition 2 [aₙ vs bₙ comparison]:                                                     [tex]\displaystyle \frac{1}{(n + 1)^2} \le \frac{1}{n^2} \ \checkmark[/tex]

At x = 2, the series is convergent.

∴ IOC for  [tex]\displaystyle \sum \limit_{n = 1}^\infty \frac{x^n}{2^n(n + 1)^2}[/tex]  is -2 ≤ x ≤ 2 or [-2, 2]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Taylor Polynomials and Approximations - Power Series (BC Only)

Book: College Calculus 10e

The diagram shows two lighthouses A and B and a port P
A boat is on a bearing of 340° from lighthouse A and 245° from lighthouse B.
a) Mark, with a cross, the position of the boat on the map.
b) What bearing should the boat sail on to enter the port?​

Answers

Answer:

B) is 085 degrees

Step-by-step explanation:

A) From point 'a', measure around 336 degrees bearring and then put the line there. Then, from point 'b' measure around 250 degrees when measuring north.

I hope this makes sense lol, I pretty much guessed the answered so don't expect a proper explanation. :'(

Anyways, there is a screenshot attached that might help.

What is the correct ratio?

Answers

D)32/40

Hope it helps you

Answer:

[tex]\frac{24}{40}[/tex]

Step-by-step explanation:

Sin = [tex]\frac{opposite}{hypotenuse}[/tex] (relative to the angle asked for)

The opposite of Angle Z is 24

The hypotenuse no matter what would always be 40; therefore,

Sin(Z) = [tex]\frac{24}{40}[/tex]

Hope this helps!

solve this: - 6 n = 30​

Answers

Answer:

-6n=30

so find value of n

n=30÷(-6)

n=-5

so, value of n = -5

Answer:

-6 n = 30

or,n=30÷(-6)

or,n=-5

the radius of a cylindrical water tank is 4ft, and it’s height is 10ft. What is the volume of the tank?

Answers

Answer:

[tex]volume = 502.4ft^3[/tex]

Step-by-step explanation:

[tex]volume = \pi r^2 h = 3.14 \times 4^2 \times 10 = 502.4ft^3[/tex]

Enter the value for x that makes the equation √x-7=-4

Answers

Answer:

Your answer is 9

Step-by-step explanation:

√9=3

3-7=-4

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