combine like terms:

Answer:

Step-by-step explanation:

he total amount resulting from the addition of two or more numbers, amounts, or items

Answer:

(2/5x+1/5x)+(5/8-1/4)

3/5x+(5/8-2/8)

3/5x+3/8

Answer:

2 * 0.75 + 0.50 + 4 * 1.25

$7.00

Step-by-step explanation:

Expression

2 * 0.75 + 0.50 + 4 * 1.25

Evaluate

1.50 + 0.50 + 5.00

$7.00

Answer:

Step-by-step explanation:

He added 18 on both sides instead of subtracting 18 on both sides

X+18-18<22-18

X<4

Answer: [tex]2\sqrt{11}\ ft[/tex], Irrational number

Step-by-step explanation:

Given

The square rug has an area of [tex]44\ ft^2[/tex]

The area of the square rug is [tex]\left( \text{Side length}\right)^2[/tex]

Suppose the side length is [tex]x[/tex]

[tex]\therefore x^2=44\\\Rightarrow x=\sqrt{44}\\\Rightarrow x=2\sqrt{11}\ ft[/tex]

As [tex]\sqrt{11}[/tex] is irrational, therefore, [tex]2\sqrt{11}[/tex] is not a rational number.

The solution is Option B.

Noise is easily filtered out without damage to the original signal because a narrow range of values is expected

A digital signal encodes data as a sequence of discrete values. A digital signal can only have one value from a finite set of possible values at any given time. A signal which is a discrete function of time, i.e. non-continuous signal, is known as digital signal. Digital computers and digital phones are some of the examples of digital signals

The three types of digital signals are

Continuous-Time/Analog Signal

Discrete-Time Signal

Digital Signal

Given data ,

The digital signals are a more reliable way to encode and transmit information than analog signals

Because , while transmitting information through digital signals , they have less interference over long distances and digital signals offer better clarity

The digital devices only record pieces of sound waves, not full waves.

Now , Analog technology stores information as sound waves; digital technology stores it as strings of ones and zeroes.

Hence , noise is easily filtered out without damage to the original signal because a narrow range of values is expected

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The number of adult tickets purchased is 12.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

Let no. of adult = x

No. of children = 28 -x

So, 7. 25 * x + (28 - x) *4. 50  = 159

⇒2.75x +126=159

⇒2.75x =33

⇒x=33/2.75

x=12

Hence, the number of adult tickets purchased is 12.

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Answer:

A. 6x - 4

Step-by-step explanation:

[tex]\sf 8-3(4-2x)[/tex]

Distribute:-

[tex]\sf 8+(-3)(4)+(-3)(-2x)[/tex]

[tex]\sf 8+-12+6x[/tex]

Combine Like Terms:-

[tex]\sf (6x)+(8+-12)[/tex]

[tex]\sf 6x+-4[/tex]

** + * - = -**

[tex]\sf 6x-4[/tex]

Therefore, option A. 6x - 4 is your answer!

_____________________

Hope this helps!

Have a great day!

Step-by-step explanation:

a linear relationship or function is described by

y = ax + b

that means that the difference from one y value to the next is defined by a constant ratio of y diff / x diff.

so, the first one is not linear.

because the difference ratios are not constant :

(1-0)/(1-0) = 1

(4-1)/(2-1) = 3

(9-4)/(3-2) = 5

the second one is linear.

the difference ratios are constant :

(1-0)/(1-0) = 1

(4-1)/(4-1) = 1

(9-4)/(9-4) = 1

the third one is not linear.

the difference ratios are not constant :

(3-1)/(3-2) = 2

(9-3)/(4-3) = 6

(27-9)/(5-4) = 18

the fourth one is linear.

the difference ratios are constant :

(5-1)/(4-2) = 4/2 = 2

(9-5)/(6-4) = 4/2 = 2

(13-9)/(8-6) = 4/2 = 2

Answer:

3/14 chance first draw

Step-by-step explanation:

There are 14 jellybeans in all, you won’t be replacing so the probability will change with each draw.

Probability the 1st draw is red = 3/14.

Probability the 2nd draw is red = (3–1)/(14–1) = 2/13.

Probability the 3rd draw is red = (2–1)/(13–1) = 1/12.

3/14 x 2/13 x 1/12 = 6/2184 = 1/364 is approximately 0.27%, pretty rare.

Answer:

Step-by-step explanation:

Take the log of both sides:

log (5^2) = log 25, or

2 log 5 = log 25 or 2 log 5

Note that 5^2 = 25 is always true.

Based on the question above, Jessica sold 260 books and Josh sold 20 books.

Let x be the number of books Josh sold

We know that:

Jessica sold 13x books

Together they sold 280 books

So we can set up an equation:

x + 13x = 280

14x = 280

x = 20

Josh sold 20 books

Jessica sold 13 * 20 = 260 books

Therefore Jessica  = 260 books sold and Josh = 20 books sold.

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Answer:

7. .44

8. .009

Step-by-step explanation:

7. 44 ÷ 100 = .44

8. 9 ÷ 1000 = .009

9514 1404 393

Answer:

  x^2 +y^2 +6x -18y +65 = 0

Step-by-step explanation:

The short of it is that you're being asked to rewrite each of these standard-form equations into general form: f(x,y) = 0.

It can save you a little effort if you recall that the square of a binomial is ...

  (a +b)² = a² +2ab +b²

Otherwise, you would use the distributive property to get ...

  (a +b)(a +b) = a(a +b) +b(a +b)

   = a² +ab +ab +b²

   = a² +2ab +b²

__

For the given equation, expanding the squares gives ...

  (x +3)² +(y -9)² = 5²

  (x² +6x +9) +(y² -18y +81) = 25 . . . . . expand the squares

  x^2 +y^2 +6x -18y +65 = 0 . . . . . . . . subtract 25; put in order of decreasing powers of the variables

Answer:

sin (theta) = [tex]\frac{\sqrt{5} }{3}[/tex]

Step-by-step explanation:

cos = adjacent side/hypotenuse

Then, in a right triangle the adjacent = 2 and the hypotenuse = 3

By the Pythagorean theorem, 3^2 = 2^2 + opposite side^2

9 - 4 = 5

opposite side = [tex]\sqrt{5}\\[/tex]

sin (theta) = [tex]\frac{\sqrt{5} }{3}[/tex]

An easier way is to find sin(arccos (-2/3) = [tex]\frac{\sqrt{5} }{3}[/tex]

Note:  Remember that the sin is positive in the 2nd quadrant.

Answer:

Step-by-step explanation:

To find the y-intercept, we can use the slope-intercept form of a linear equation which is y = mx + b, where m is the slope of the line, and b is the y-intercept.

Since the line passes through the points (2, -2.5) and (4, -2), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

To find the slope(m) we can use the rise over the run formula ,

m = (y2 - y1) / (x2 - x1) = (-2 - (-2.5)) / (4 - 2) = -0.5

then we can substitute the values in point-slope form

y - (-2.5) = -0.5 (x - 2)

And now we can use x = 0,

y = -0.5(0-2) -2.5 = 1.5

so the y-intercept of the line is 1.5

Answer:

see explanation

Step-by-step explanation:

A

∠ UVX and ∠ WXV are alternate angles and are congruent , then

∠ UVX = ∠ WXV = 15°

∠ WVU = ∠ WVX + ∠ UVX = 24° + 15° = 39°

B

opposite sides of a parallelogram are congruent , then

UV = XW = 36

C

consecutive angles are supplementary , sum to 180° , then

∠ XUV + ∠ WVU = 180° , so

∠ XUV + 39° = 180° ( subtract 39° from both sides )

∠ XUV = 141°

D

diagonals bisect each other , so

YW = UY = 10

Its a solid and a cube

You were wrong with square because a square only has one face while a cube has 6.

You were also wrong with polygon because while polygons are 1-dimensional a cube is 3-dimensional

The following terms correctly describe the given object Square, Solid, Cube, Polygon.

Options A, B, C, D are correct.

A cube is a 3-D solid shape, which has 6 faces. A cube is one of the simplest shapes in three-dimensional space. All the six faces of a cube are squares, a two-dimensional shape.

Square is a figure in which all four sides are equal.

Solid is a three dimensional figure.

A Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Polygon is two dimensional figure with straight lines.

The following terms correctly describe the given object Square, Solid, Cube, Polygon.

Options A, B, C, D are correct.

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Answer:

True

True

False

Answer:

X=9

Step-by-step explanation:

4x+8=40

4x=40-8

4x=32

X=9

Answer:

[tex]\small\mathfrak\green{here \: is \: your \: solution...} \\ \\ \small\mathfrak\green{4(x + 2) = 40} \\ \\ \small\mathfrak\green{4x + 8 = 40} \\ \\ \small\mathfrak\green{4x = 40 - 8 } \\ \\ \small\mathfrak\green{4x = 32} \\ \\ \small\mathfrak\green{x = 32 \div 4} \\ \\ \small\mathfrak\green{x = 8}[/tex]

[tex]\small\boxed{\mathfrak{ Hope \: it \: helps ....}}[/tex]

Answer: The answer is no, they are not proportional

Step-by-step explanation:

Let, third proportional is x 0.8 : 0.2 : : 0.2 : x = 0.8/0.2 = 0.2/x = x = 0.2 × 0.2/0.8 × 10 = 1/20 = 0.05 Hence, here third proportional is 0.05

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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Answer:Answer:

the added person age is 26

Step-by-step explanation:

let the added person age is A

the six person mean is (23+19+12+21+13+A)/6=19

=> 88+A/6=19

=>A=(19×6)-88

there fore A=26

Answer:

39

Step-by-step explanation:

13 + 13 + 19 + 23 + 19 + x = 21

                       6

Combine like terms

(87 + x) / 6 = 21                  Multiply both sides by 6

(87 + x )  = 21 * 6

87 + x = 126                       Subtract 87 from both sides

x = 126 - 87

x = 39

The 6th person entering the room was 39

Answer:

hey guys!! answer is B!!

Step-by-step explanation

hope this helps!

Answer:

b give brainest

Step-by-step explanation:

[tex]d-2=4.6[/tex]

Add 2 to both sides:

[tex]d-2+2=4.6+2[/tex]

[tex]\fbox{d = 6.6}[/tex]

Answer:

84in

Step-by-step explanation:

Answer:

y= 1200(0.92)^x

Step-by-step explanation:

Given data

Cost price= $1200

Rate of decrease= 8%

Let the time be x

The expression that describes an exponential function is

y= ab^x

for decrease b= 1-r

y= 1200(1-0.08)^x

y= 1200(0.92)^x

Hence the expression is

y= 1200(0.92)^x