Solve: 4+1.8x = 8 (1+0.1x)
A. There are infinitely many solutions.
B. x = -3
C. x = -4
D. x = 4

Answers

Answer 1

[tex]4+1.8x=8+0.8x\\\\4+1.0x=8\\\\1.0x=4\\\\x=4\\[/tex]

the answer is x = 4.


Related Questions

inserts a digit to make numbers that are divisable by 24 if its possiable 38_36

Answers

Answer:

168

Step-by-step explanation:

A shipping box is in the shape of a rectangular prism. it has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. what is the height of the box? 15 in. 20 in. 300 in. 600 in.

Answers

The height of the shipping box in the shape of a rectangular prism is 15 inches

How to determine the height of the box?

The given parameters are:

Volume = 9000 cubic inches

Base dimensions = 20 inches by 30 inches

The height of the prism is then calculated using:

Height = Volume/Base Area

So, we have:

Height = 9000/(20 * 30)

Evaluate

Height = 15

Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches

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How do I factor this polynomial?
(30x^3 + 15x^2 + 45x)

Answers

Answer:

Step-by-step explanation:

Answer: [tex]15x(2x^2+x+3)[/tex]

Step-by-step explanation:

[tex](30x^3 + 15x^2 + 45x)[/tex]

1. factor out 15x

[tex]15x(2x^2+x+3)[/tex]

Jordan fills several bags of oranges . This line plot shows the wait of each bag.
How many more pounds does one of the heaviest bags weigh more than one of the lightest bags.
Enter your answer as a fraction in simplest form by filling the boxes.

Answers

Answer:  1 1/8 or 9/8

Step-by-step explanation:

5 1/2-4 3/8= 1/ 1/8

A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I. What is
P(not A)?
8/9
2/3
1/3
1/9

Answers

The probability of the spinner not occurring A will be 8/9. Then the correct option is A.

What is probability?

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I.

Then the probability of not occurring A will be

The total event will be

Total events = 9 {A, B, C, D, E, F, G, H, I}

The favorable event will be

Favorable events = 8 {B, C, D, E, F, G, H, I}

Then the probability will be

P = 8/9

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Find the surface area of the figure below:

Answers

r = 7.2 m

l = 17 m

SA = πr(r+ l)

SA = π(7.2)(7.2 + 17)

SA = 547.391 m^2

Eric and bianca are drawing a model of a city park in the cordinate

Answers

For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.

What is a Coordinate system?

In the are of math and geometry, a coordinate system is known to be a kind of a system which is known to often uses a lot of numbers or only one to show the  position of any given points.

Note that to be able to design the part to their taste and with the right coordinates, For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.

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Answer:

Vertex Q has an x-coordinate of 7. To form quadrilateral QRST, vertex T must be 3 units down from vertex Q. Vertex T should be at (7,3) .

Bianca is correct.

Step-by-step explanation:

Hope this helps.

if a card is drawn at random from a deck of 52 cards, and then a fair coin is flipped, what are the total number of possible outcomes?

Answers

There are 104 outcomes

Considering that you are only drawing one card, the total outcome would remain at 52. However, because the coin has two sides, we must multiply 52 by 2 to get 104

7/11 of a class walk to school. What fraction of the class did not walk to school

Answers

Answer:

4/11 of the class did not walk to school.

Step-by-step explanation:

11/11 - 7/11 = 4/11

The graph shows how the annual budget for a company is divided by department. Use this graph to answer the questions below

Answers

Answer: a) the answer is engineering

Step-by-step explanation:

because since it is a circle, it's out of 360 degrees, and 1/4 means first you divide 360 with 4, and you get 90. So, i checked which department is exactly 90 degrees and saw that engineering is 90 degrees

Which is following answer is the correct hypotenuse?

Answers

Answer:

(c) x = 15.26

Step-by-step explanation:

a² + b² = c²

8² + 13² = c²

64 + 169 = c²

c² = 233

c = 233 ½

c = 15.26

the correct answer is 15.26

find the area of the circle. give your answer in terms of ir and as decimals rounded to nearest square foot. use 3.14 for ti. the diameter of a circle is 40 feet

Answers

Answer:

The answer to this is 1,256

f(x)=2x-3 and g(x)=x^2+1, find g(f(x))

Answers

Answer:

f(x)=2x-3, substitute the expression for g(x) in f(x)

f(x) = 2(x^2 + 1) - 3

f(x) = 2x^2 + 2 - 3

f(x) = 2x^2 - 1

2. Find the variation constant and an equation of variation where y varies inversely as x and y=9 when x=2.

Answers

Answer: y=108

Step-by-step explanation:

Answer:

k = 4.5

y = 4.5x

Step-by-step explanation:

Finding the variation constant, k :

k = y/xk = 9/2k = 4.5

Equation of variation :

y = kxy = 4.5x

Grady's father is building a 15-meter fence with the start of the fence at coordinates (8,5) and the midpoint of the fence at coordinates
(3.5,-1). What are the coordinates of the other end of the fence

Answers

Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The midpoint of a segment is the mean of the coordinates of the endpoints, hence:

[tex]3.5 = \frac{x + 8}{2}[/tex]

x + 8 = 7

x = -1.

[tex]-1 = \frac{y + 5}{2}[/tex]

y + 5 = -2.

y = -7.

The coordinates of the other end of the fence are (-1,-7).

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A classroom floor is 20 metres wide.
If the total area of the floor is 300 square metres, how long is it?

Answers

Answer:

It is 15 m long.

Step-by-step explanation:

Given

width (b) = 20 m

Area of the floor (A) = 300 m^2

Length (L) = ?

we know

A = L * b

300 = L * 20

L = 15 m

Hope it will help :)

A consumer takes a loan of $150,000 to be repaid in monthly constant installments over 10 years. the nominal interest rate compounded monthly for this loan is 3.6331%.

Answers

Answer:

$10.862005 million

Step-by-step explanation:

150,000*1.036331 monthly

12*10=120

$150,000*1.036331 ^120=$10.862005 million

seams very unrealistic lol

Answer:$10.862005 million

Step-by-step explanation:

150,000*1.036331 monthly

12*10=120

$150,000*1.036331 ^120=$10.862005 million

A number is given three successive discounts of 20%, 25% and 20%; Three successive increases of 20%, 25% and 20% are made to the resulting number, resulting in a number that differs from the original by 408 units. Calculate the original number.

Answers

Answer:

  3000

Step-by-step explanation:

The multiplier associated with each percentage change (p) is (1 +p). We can use this fact to relate the original number to the modified number.

__

discounted number

Let x represent the original number. Then the discounted number is ...

  x(1 -20%)(1 -25%)(1 -20%) = x(0.8)(0.75)(0.8) = 0.48x

increased number

After those discounts, the increased number is ...

  (0.48x)(1 +20%)(1 +25%)(1 +20%) = (0.48x)(1.2)(1.25)(1.2) = 0.864x

difference

The difference from the original is ...

  x - 0.864x = 408

  0.136x = 408 . . . . simplify

  x = 3000 . . . . . . . divide by the coefficient of x

The original number was 3000.

which statement about a parallelogram is true?

some parallelograms have side lengths that are all different

all parallelograms have opposite sides that are parallel.

all parallelograms have 4 square corners

some parallelograms have more than 4 sides


giving brainiest

Answers

Step-by-step explanation:

all parallelograms have opposite sides that are parallel.

that is the only true statement.

A​ penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel.​ Penny-farthings were popular in the 1800s and were available in different sizes. If the front wheel of a​ penny-farthing has a diameter of 56 inches and the back wheel has a diameter of 14 ​inches, how many turns does the back wheel make when the​ penny-farthing travels 100​ yards? Use 3.14 for pi.

Answers

Answer:

81.9 turns

Step-by-step explanation:

100 yd = 36 × 100 in. = 3600 in.

C = πd

C = 3.14 × 14 in. = 43.96 in.

3600/43.96 = 81.9

Answer: 81.9 turns

NEED HELP PLEASE WHAT IS THE NUMBER IN THE QUESTION MARK

Answers

Answer:

i thing it is 2,if i wrong so sorry

help me pease it my end of the year grade

Answers

Answer:

3k+1

Step-by-step explanation:

Answer:

The correct answer is 3k + 1

Step-by-step explanation:

Hope this helps:) Goodluck!

the volume of the cylinder is 225π and the height is 27cm what is the radius of the cylinder

Answers

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=27\\ V=225\pi \end{cases}\implies 225\pi =\pi r^2(27)\implies \cfrac{225\pi }{27\pi }=r^2 \\\\\\ \cfrac{25}{3}=r^2\implies \sqrt{\cfrac{25}{3}}=r\implies \cfrac{\sqrt{25}}{\sqrt{3}}=r\implies \cfrac{5}{\sqrt{3}}=r\implies 2.89\approx r[/tex]

What is the prime factorization of 120?​

Answers

Answer:

2 to the power of three × 3 × 5

Step-by-step explanation:

Find the area of the figure. Show work and explain please.

Answers

Answer:

464 units²

Explanation:

Part A

Length × Width = 8 × 16 = 128 units²

Part B

Length × Width = 24 × 8 = 192 units²

Part C

Length × Width = 12 × 4 = 48 units²

Part D

Length × Width = 24 × 4 = 96 units²

Total Area: 128 + 192 + 48 + 96 = 464 units²

Answer:

464 units²

Step-by-step explanation:

The quickest way to determine the area of the figure is to calculate the area of the total rectangle, then subtract the missing parts.

(see attached diagram)

Total area of the rectangle = width × length

                                             = 24 × (16 + 4 + 4)

                                             = 24 × 24     ← the shape is actually a square!

                                             = 576 units²

Missing Area 1

Top left square = 8 × 8

                         = 64 units²

Missing Area 2

Bottom right rectangle = 4 × 12

                                      = 48 units²

Total area = area of rectangle - missing area 1 - missing area 2

                 = 576 - 64 - 48

                 = 512 - 48

                 = 464 units²

What is the answer please?

Answers

Answer: B (middle option)

Congruent; a counterclockwise rotation of 90° followed by a translation

Step-by-step explanation:

Rotating the triangle 90° makes point A face the left. Translating the triangle to the right afterward (and maybe a little in some other directions) would map it onto the second triangle.

Which function has an asymptote at x = 5 and an x-intercept of (6,0)? a. f(x) = log(x − 5) b. f(x) = log(x 5) c. f(x) = log x − 5 d. f(x) = log x 5

Answers

The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes

Asymptotes and intercept of a function

The y-intercept is the coordinate point where x = 0. For the log function;

f(x) = log(x - 5)

If y = 0

0 = log(x-5)

x - 5 = 10^0
x - 5 = 1

x = 6

Hence the x-intercept is at (6, 0)

The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes

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x-y=5
3x+y=3 can you pleas help me find x and y

Answers

Answer:

x= 2, y= -3

Step-by-step explanation:

Given two equations, we can solve them by either substitution or elimination method. Let's solve by substitution!

x -y= 5

Rewrite this equation such that one of the variable is the subject of formula, so that we can substitute this equation into the second.

x= y +5 -----(1)

3x +y= 3 -----(2)

Substitute (1) into (2):

3(y +5) +y= 3

Expand:

3y +15 +y= 3

4y= 3 -15

4y= -12

y= -12 ÷4

y= -3

Substitute y= -3 into (1):

x= -3 +5

x= 2

Six workers are hired to harvest blueberries from a field. each is given a plot with an area of 84 ft2. which equation will tell you the total area of the blueberry field

Answers

The equation that represents the total area of the blueberry field will be y = 84x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Six workers are hired to harvest blueberries from a field.

Each is given a plot with an area of 84 square ft.

Then the equation that represents the total area of the blueberry field will be

Let x be the number of workers and y be the total area field. Then we have

y = 84x

Then the area of the total field will be

y = 84 (6)

y = 504 square ft

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Write 75 as a product of primes. Use index notation when giving your answer.

Answers

Answer:

3 times 5 times 5

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