Please help! Simplify the following expression by combining like-terms.

Answer:

[tex]\frac{7}{9}[/tex] and [tex]\frac{7163}{9900}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

(1)

let x = 0.777... (1) ← multiply both sides by 10

10x = 7.777... (2)

subtract (1) from (2) thus eliminating the repeating digits

9x = 7 ( divide both sides by 9 )

x = [tex]\frac{7}{9}[/tex]

(2)

let x = 0.723535.. ( multiply both sides by 100 and 10,000 )

100x = 72.3535.... (1)

10,000x = 7235.3535..... (2)

subtract (1) from (2) thus eliminating the repeating digits

9900x = 7163 ( divide both sides by 9900 )

x = [tex]\frac{7163}{9900}[/tex]

Answer:

x = 0.25

Step-by-step explanation:

If y varies inversely with x, then:

[tex]y \propto \dfrac{1}{x} \implies y=\dfrac{k}{x} \quad \textsf{(for some constant k)}[/tex]

Given:

Substitute the given values into the found equation and solve for k:

[tex]\implies 1.6=\dfrac{k}{0.5}[/tex]

[tex]\implies k=1.6(0.5)[/tex]

[tex]\implies k=0.8[/tex]

Therefore:

[tex]y=\dfrac{0.8}{x}[/tex]

To find the value of x when y = 3.2, substitute y = 3.2 into the found equation and solve for x:

[tex]\implies 3.2=\dfrac{0.8}{x}[/tex]

[tex]\implies x=\dfrac{0.8}{3.2}[/tex]

[tex]\implies x=0.25[/tex]

Answer:

D. x = 7

Step-by-step explanation:

NOTE : there should be an equal sign somewhere in the given expression.

suppose the equation is the following:

3(x-4)-5 = x-3

………………………………………………………

3(x - 4) - 5 = x - 3

⇔ 3x - 12 - 5 = x - 3

⇔ 3x - 17 = x - 3

⇔ 3x - 17 + 17= x - 3 + 17

⇔ 3x = x + 14

⇔ 2x = 14

⇔ x = 14/2

⇔ x = 7

The length of the uncut shelf is not long enough.

Given a wooden shelf 4½ feet long.

The length of two small shelves is  1¼ and 2⅜ feet long respectively.

To find an uncut shelf long enough or not subtract shelf's piece length from the total length of the wooden shelf length.

The length of an uncut shelf can be calculated as:

⇒1¼ + 2⅜+x= 4½

⇒5/4 + 19/8 + x = 9/2

To solve this equation make variable and constant different sides.

⇒x= 9/2-5/2-19/8

⇒x=2-19/8

⇒x=-3/8

The length of the uncut shelf is -3/8 feet, which is not valid (∵ Length cannot be negative).

∴ The length of the shelf is not long enough.

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Answer:

35

Step-by-step explanation:

1. Write the equation

y = 1.245x - 3.684

2. Set y = 40, since that is the cost of the songs he purchased.

40 = 1.254x - 3.684

3. Add 3.684 to both sides

43.684 = 1.254x

4. Divide by 1.254

x = 35.0875502

Answer:

Answer is C.) 35

Step-by-step explanation:

Answer: 26 inches is equivalent to 660.4 millimeters.

Step-by-step explanation:

You will multiply the inches by the conversion.

[tex]26in*25.4mm=660.4mm[/tex]

Therefore, the answer is 660.4 millimeters.

I hope this helps!! Pls mark brainliest :)

The value if T(290) is 330.6

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.

Given:

T(x) = x + 0.14x

T ( 290)= 290+ 0.14* 290

            = 290+ 40.6

           = 330.6

Hence, the value of T(290) is 330.6.

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The statements that are true about the pyramid are

From the question, we are to determine the statements that are true about the pyramid

The diagram shows a square pyramid,

The length of a side of its base is 756 ft

and

The height / altitude of a triangular face is 612 ft

Since the pyramid is a square pyramid,

Then, the base must be a square with each side measuring 756 feet

∴ The first statement is true

Since the height of a triangular face is 612 ft,

Then,

∴ The slant height of the pyramid is 612 feet

NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face

Thus, the second statement is true

Since the triangular faces each have a base of 756ft and a height of 612 ft,

Then,

All four triangular faces are congruent

∴ The fourth statement is true

NOTE: Lateral sides of a solid are the faces on the sides of the shape

The pyramid has four lateral faces which are each a triangle

∴ The last statement is true

Hence, the statements that are true about the pyramid are

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The missing length is 14 unit.

The Trapezoid Midsegment segment theorem states that the length of midsegment of trapezoid is half the sum of the length of its two parallel sides of the trapezoid.

In a trapezoid, Midsegment = 1/2 × ( Sum of two bases of the trapezoid )

Here, The midsegment GH is given by 26.

One of the bases = 42

Let, another base be x

Then we have to use the formula of mid segment to find the another base of the trapezoid

∴ GH = 1/2 × (42+x)

⇒ 26 = 1/2 × (42+x)

⇒ 56 = 42+x

⇒ x = 56-42

⇒ x = 14

So, the missing length = 14 unit

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The  is probability P(B|A) expressed in simplest form is 1/2 (Option B) See computation below.

P (A) = [[tex][\mathrm{C}_{5}^{1} \mathrm{C}_{8}^{1}]/ \mathrm{A}_{9}^{2}[/tex]

= ('5 x 8)/(9 x 8)

P (A) = '5/9

P (AB) = [tex][\mathrm{C}_{5}^{1} \mathrm{C}_{4}^{1}]/ \mathrm{A}_{9}^{2}[/tex]

= ('5 x 4)/(9 x 8)

= '5/18

P(B|A) = P (AB)/P(A)

= ('5/18)/('5/9)

P(B|A)  = 1/2

From the above we already have P (AB)

this is given as

P (AB) = [tex][\mathrm{C}_{5}^{1} \mathrm{C}_{4}^{1}]/ \mathrm{A}_{9}^{2}[/tex]

= ('5 x 4)/(9 x 8)

P(AB) = '5/18

Note that:

Event A = drawing a white marble on the first draw

Event B = drawing a red marble on the second draw

P(A) = 8/13; while

P (B) = (5/12) because the first marble was not replaced, thus reducing th sample to 12.

Thus

P(A and B) = P(A)*P(B) = 8/13 * 5/12

P(A and B) =  10/39 (Option B)

Event A - Probability of Drawing a Green Marble is 8/20

Event B - Probability of Drawing a Blue Marble is 5/19

Thus P(B|A) = (8/20) * (5/19)

= [tex]\frac{8 * 5 }{20 * 19}[/tex]

= 40/380; divide numerator and denominator by 20

P(B|A) = 2/19 (Option A)

Event A = Probability of Drawing a red ball = 3/12

Event A = Probability of Drawing a pink ball without replacing the read in Event A = 3/11

Thus P (B and A) =

3/12 x 3/11

P (B and A) = 3/44 (Option A)

The conditions given are as follows:

The sum total of ways thus is

9 x 8

= 72 ways........X

Recall that

Event A is defined as selecting 8 as the first numeral

The only way to select this is one way

Event B is defined as choosing a number less than 6 as the second digit, that is 1, 2, 3, 4, 5

Thus, the possible number of ways to fill second digit = 5/8

Thus, the possible number of ways to form two digits 'AnB' =
('AnB') = 1 x 5 = 5 .................y

Hence Probability (AnB) = 5/72 (Option B)

Given that the non-zero digits are in a combination are not repeated and range from 3 through 8, thus the odd numbers between 3 and 8 are:

3, 5, 7

total numbers is 3, 4, 5, 6, 7, 8

Hence; Event A = choosing an odd number for the first digit = 3/6

Event B = choosing an odd number for the second digit (recall that the numbers are not repeated) = 2/5

= [tex]\frac{2*3}{3*6}[/tex]

= 6/30

= 1/5 (Option A)

If a combination is picked at random with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?

Event A = the first digit is an odd number

Event B = the second digit is an odd number

The numbers from 2 to 9 are:
2,3,4,5,6,7,8,9

The odd numbers between 2 and 9 are:

3,5,7,9

P (A) = 4/8

P (B) = 3/7

P(B|A) = (3/7)/(4/8)

P(B|A) = 3/7

Event A = drawing a white tile on the first draw

Event B = drawing a purple tile on the second draw

|n| = 15 * 14 = 210

| A| = 3*14 = 42

| AnB| = 3*7 = 21

P (A) = 42/210 = 6/30

P (AnB) = 21/210 = 1/10

P(B|A) = (1/10)/6/30)

P(B|A) = 1/10 * 30/6

P(B|A) = 30/60
P(B|A) = 1/2 (Option D)

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Answer:

7 units to the left.

Step-by-step explanation:

On the number line , the number will always decrease when we move towards the left, and likewise will always increase when we move towards the right. In this case since the number is moving from 0 to -7, it is definitely decreasing therefore we will move 7 units to the left.

Regarding the proportional connection that Peter's equation simulates, claim C is accurate. Peter moves along at a 13/4 mph walking pace.

An equation is a mathematical statement that uses an equal sign to join two algebraic expressions having the same value.

The complete question is

"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?

A:Peter walks a rate of 4/13 miles per hour.

B: Peter walks at a  rate of 4 miles per hour.

C: Peter walks at a rate of 13/4 miles per hour.

D: Peter walks at a rate of 13 miles per hour."

Provided equation

Y=13/4x

where y is the distance traveled and x denotes the amount of time.

According to the equation, Peter moves along at a speed of 13/4 miles per hour.

As a result, the proportional connection represented by Peter's equation is valid as stated in assertion C.

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I am lazy to type so here look at the picture and there is your answer

The amount of the markup is $48 + $48 (0.55) .

Option (C) is correct .

Mark up refers to the value that a player adds to the cost price of a product. The value added is called the mark-up. The mark-up added to the cost price usually equals retail price.

As given

An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup.

55% is written in the decimal form .

                                              = 55/100

                                              = 0.55

Markup price = 0.55 × wholesale price of item .

                      = 0.55 × $48

                     = $48 (0.55)

Price of item after markup = Wholesale price of item + Markup price

                                           = $48 + $48 (0.55)

Thus, the amount of the markup is $48 + $48 (0.55) .

Option (C) is correct .

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Answer:The answer is A

Step-by-step explanation:

Edg 2022 (sometimes the verified ones are wrong)

The answer will be 81.

Step-by-step explanation:

just multiple by 3

Answer:

81

Step-by-step explanation:

the people told secrion has a sequence of multiplyung by 3 if you continue the sequence you will get to 81

Answer:

Step-by-step explanation:

_3x_13 =_7x+15 what is the anSWER?

assuming that the underscore is a minus and you are looking for the x value.

-3x - 13 = -7 + 15

-3x = -7 + 15 + 13

-3x = 8 + 13

-3x = 21

x = -7

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

check

-3 * (-7) - 13 = -7 + 15

21 - 13 = 8

8 = 8

the answer is good

The water travels in 3 seconds.

The correct option is (C).

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given information-

x          0       1       2       3      4      5

f(x)     1.5      2     1. 5     0    -2.5   -6

The image of table attached below.

Here, x represents the time (sec) and f(x) represent the height in feet above the pool’s water line.

From the table,

Hence, the water travel through the air for the 3 seconds.

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Answer:

Step-by-step explanation:

=132/3

=44 books per shelf

since maximum weight of a book is 2kgs,

=44(2)

=88

Answer:

X = 125° and Y = 75°

Step-by-step explanation:

Y = 75° because the line the bisects two parallel lines. When this happens, the angles at the corners are identical.

To find the value of "X", I first found the value of the last angle in the triangle. I found this by performing the following:

180° - 55° - 75° = 55°

The value of this missing angle is 55°. To find "X", I subtracted this value from 180°. I did this because lines always equal 180°

180° - 55° = 125°

The number of units that will maximize revenue will be 672 units.

From the given information, p = 336 - 0.5x. The revenue function will be:

= (336 - 0.5x)x

= 336x - 0.5x²

This will be equated to 0. This will be:

336x - 0.5x² = 0

0.5x² = 336x

0.5x = 336

x = 336/0.5

x = 672

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2sin(x) - 1 =0

first, simplify and isolate sin(x)

2sin(x) - 1 = 0

2sin(x) = 1

sin(x) = 1/2

Then, do sin inverse of 1/2 which is 30 degrees

150 degrees also works because when you set 30 degrees as the reference angle in quadrant 2, you get 150 degrees. 180-30 = 150

C is the answer

Answer:

b step by step explanation

The function that represents exponential growth is:

f(x) = x³

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and x is the time period.

Exponential growth is a phenomenon that occurs when the rate of change of a quantity is proportional to its current value. In other words, as the value of the quantity increases, the rate at which it increases also increases. This can be represented mathematically using an exponential function of the form f(x) = abˣ, where a is the initial value, b is the growth factor, and x is the time or number of periods.

The function that represents exponential growth is:

f(x) = x³

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The option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have given two triangles:

Triangle RST and Triangle VUT

AS we can see Line segment RS and UV are parallel.

Which is crossed by a transversal RV.

The angle SRV = Angle RVU

Thus, the option third ∠R ≅ ∠V is correct because line segment RS and UV are parallel which is crossed by a transversal RV.

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Answer:

c

Step-by-step explanation:

Answer:

f(x)=(x+4)(x+2)

Step-by-step explanation:

Factor  x^2−6x+8  using the AC method.

Answer:

There are different kinds of shapes. The shapes have been sorted below:

The term shape is a word that connote the form or dimensions  of an object and also their outline.

It is made up of outer boundary and also outer surface. Most of everything in the world today do have shape.

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Answer:

yyjyidsksjsjsosiddhdoehsudidhdhsjidjsjsjejsksksksjsjsjdd

Answer:

The product xy is constant, so the relationship is an inverse variation.

Step-by-step explanation:

Inverse variation is the mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases.

Here, the product xy is constant and gives the product as 960.

The relationship is inverse relationship.

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