Which of the following math statements contain variable(s)? Check all that apply.
A.
? + 7 = 12
B.
15 - 5 = ___
C.
13 - x = 9
D.
1 + 6 = 7

The solution to the long division 6x³ - 8x + 5 divided by (2x-4) is 3x² - 6x + 8 and the remainder is -27

When 6x³ - 8x + 5 is divided by (2x-4) the answer in this format

q(x) + r(x) / b(x) is express as 3x² - 6x + 8

The long division application is uploaded as a picture below.

The answer should be express in this format:

q(x) + r(x) / b(x)

where,

The quotient is the result obtained by dividing one value by another. The quotient is 3x² - 6x + 8 .

The remainder is the number left over after performing the division. The remainder is -27

The divisor is the value that divides another completely or with a remainder. The divisor is 2x - 4

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Answer:

4.75 megabytes per second

Step-by-step explanation:

500-25 = 475

475 / 100 = 4.75

Answer: 3 mph.

Because....

3/4 of a mile is 0.75 miles.

0.75 miles = 15 minutes

X = 15 * 1 / 0.75

X = 20 minutes takes a mile to travel

20 minutes = 1 mile

60 minutes = X

Clearing X would give:

X = 60/20

X = 3 miles per hour.

Luis rides 3 miles per hour.

* Hopefully this helps:) Mark me the brainliest!!!

Answer:

3

Step-by-step explanation:

I think the answer is 3 because there are 3 spaces between each dot but I am also not the smartest person so if that's right sorry!

Answer:

5761

Step-by-step explanation:

First, let's find the digit in the tenths place. The quotient of 10 and 2 is 5 because 10/2 = 5. Next, the digit in the hundredths place is the product of 3.5 and 2. 3.5 * 2 = 7. The number in the thousandths place is the sum of the digit in the tenths place and the ten thousandths place, so we have to find the digit in the ten thousandths place first. It says that every number in the code is divisible by the digit in the ten thousands place. The factors of 5 are 1,5 and the factors of 7 are 1,7. The only number that is the same in both is 1, so the last digit must be 1. Knowing that information, we can add the digit in the tenths place (5) to the number in the ten thousandths place (1) to get the third digit (6). Now we place those digits in order: tens (5), hundredths (7), thousandths (6), and ten thousandths (1) to get 5761.

The equation of the graph is,

⇒ y = 6x + 2

Since, The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

For each by sitting job. Adam charges a fee for his bus fare plus an hourly rate.

And, The graph shows how he calculates the cost of a babysitting job.

Now, By graph;

Two points on the line are (1, 8) and (2, 14).

Now,

Since, The equation of line passes through the points (1, 8) and (2, 14).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (14 - 8)) / (2 - 1)

m = 6 / 1

m = 6

Thus, The equation of line with slope 6 is,

⇒ y - 8 = 6 (x - 1)

⇒ y - 8 = 6x - 6

⇒ y = 6x + 2

Therefore, The equation of line will be;

⇒ y = 6x + 2

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Answer:

use graph d for the answer

Answer:

D

Step-by-step explanation:

The filled in dot means equal to

Then you need to look for the one that has 4 and the ray shows that the sqrt of x is greater than 4

So it is D

The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

6.oz and all other things are going on

Step-by-step explanation:

its been a few weeks and I've just got back to

The students need to earn $182 per month in order to accomplish their goals.

Division is the process of dividing a number by a given number.

Given that, the total cost for the class to go to the observatory is $910 and the students need money in 5 months.

To collect $910 in 5 months, students must earn $910/5 per month.

910/5

= 182

Hence, the students need to earn $182 per month in order to accomplish their goals.

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This shows that 76 cookies will be made with the total pounds of cookies

Fractions are written as a ratio of two integers. Given the following parameters

Total pounds of cookies made = 4 3/4 pounds

Total pounds of cookies made = 19/4 pounds

If he uses 1/16 pound of dough for each cookie, the total amount of cookies made is given;

Number of cookies = 19/4 ÷ 1/16

Number of cookies = 19/4 * 16/1

Number of cookies = 19 * 4

Number of cookies = 76

This shows that 76 cookies will be made with the total pounds of cookies

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Answer:

Step-by-step explanation:

first one:

X= 10

Y = 14.14

use Tan45degrees X/10

Answer:

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the base, height and depth. So, to find the correct answer, multiply each and see which are equal to 72:

A) 7*3*5 = 105

B) 8*9*1 = 72

C) 3*8*4 = 96

D) 12*3*2 = 72

E) 3*4*5 = 60

Since B and D are the only ones that equal 72, they are the possible answers to give a volume of 72 units cubed.

Answer:

If HG = HK, then HG = HK. This statement is true by definition, as both sides of the equation are equal to the same value.

If KHJ = KJH, then KHJ = KJH. This statement is also true by definition, as both sides of the equation are equal to the same combination of letters.

Answer:

Step-by-step explanation:

AB // DE , and AE is transversal

∠CAE = ∠DEA     {Alternate interior angles}

∠CAE = 2x

∠AEB = 180 - ∠FEC

         = 180 - 4x

∠CAE + ∠AEB = 6x    {Exterior angle property of triangle}

2x + 180 - 4x = 6x

180 - 2x = 6x

Add 2x to both sides

180 = 6x +2x

180 = 8x

Divide both sides by 8

180/8 = x

x = 22.5

∠AED = 2x = 22.5 *2 = 45

∠FEC = 4x = 4*22.5 = 90

∠EBC = 6x = 6*22.5 =  135

Answer:

19/67

Step-by-step explanation:

I think this would be the answer. You add up 17,10,19, and 21, and then use the PROBABILITY of drawing the nickels which would be 19/67, im not sure tho, let me know if it works

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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The inverse of the given statement will be- Option 3, If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

Here, we are given a statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

According to the statement,

if B bisects AC ⇒ AB = BC

then, B is the midpoint.

The inverse of this will be-

if B is the midpoint of AB ⇒ AB = BC

then, B bisects AB

This can be written as-

If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

Thus, option 3 is the correct answer.

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Your question was incomplete. Check below for full content-

Which statement is the contrapositive of the conditional statement:

Which statement is the inverse of the conditional statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

1. If point B is not the midpoint, then point B does not bisect line segment AC into two congruent segments.

2. Point B bisects line segment AC into two congruent segments if, and only if, point B is the midpoint.

3. If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

4. If point B does not bisect line segment AC into two congruent segments, then point B is not the midpoint.

Answer:

The estimated gain in score for a student who is given an additional 32 minutes on the exam is 16.96

Step-by-step explanation:

The estimated regression prediction is given by:

\(\hat{y}=40+0.53x\)

Where x denotes the time

y denotes the average score

A)

Substitute x = 98

\(\hat{y}=40+0.53(98) = 91.94\)

B)

Substitute x = 129

\(\hat{y}=40+0.53(129) = 108.37\)

C)

Substitute x = 159

\(\hat{y}=40+0.53(159) = 124.27\)

D)the estimated gain in score for a student who is given an additional 32 minutes on the exam.

\(\hat{y}=40+0.53(x+32)=40+0.53x+9.57=y+16.96\)

So, the estimated gain in score for a student who is given an additional 32 minutes on the exam is 16.96

Answer:

Range = {5, 8, 11}

Step-by-step explanation:

On the function f(x) = 3x + 2

For the first domain, when x = 1, f(x) = 3(1) + 2 = 3 + 2 = 5

For the second, when x = 2, f(x) = 3(2) + 2 = 6 + 2 = 8

For the third domain, when x = 3, f(x) = 3(3) + 2 = 9 + 2 = 11

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

The answer is x² + x - 20

Step-by-step explanation:

(x – 4)(x + 5)

x(x + 5) -4(x + 5)

x² + 5x – 4x – 20

x² + x - 20

Thus, The answer is x² + x - 20

-TheUnknownScientist

Answer:

Step-by-step explanation:

The formula to model the given situation is   13 + p = 21   .

In the question ,

it is given that ,

Alisha and Emily are making T- Shirts for the Math's team .

total number of T- Shirts required = 21 shirts .

number of shirts made by Alisha = 13 shirts

number of shirts made by Emily = p shirts

So , the equation that represents the given situation is

13 + p = 21

Solving further , we get

p = 21 - 13

p = 8

So , Emily made 8 T - Shirts .

Therefore , The formula to model the given situation is   13 + p = 21   .

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Answer:

The difference of 15 and a number is 5 indeed 10 to be 15

Answer:

10

Step-by-step explanation:

Michelle's payment  = (x10.5% + 495.95) per week.

Given,

The commission Michelle got for every Kayak she sells = 10.5%

Michelle's weekly payment = $495.50

a) We have to find an equation for the way Michelle is paid;

x be the selling price of kayak.

Then,

Michelle's payment  = (x10.5% + 495.95) per week.

b) The total value of kayaks sold by Michelle last month = $19425

We have to find her last month's payment using the equation;

Here,

Michelle's payment = (x10.5% + 495.95)

x = 19485

There may be 4 weeks in a month.

Then,

(19485 x 10.5/100) + 495.95 x 4 = 2039.625 + 1982 = $4021.625

Therefore,

Michelle's payment  = (x10.5% + 495.95) per week.

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The answers are proportional , ce, segment addition postulate if the Triangle XYZ is a right triangle with ZQ XY.

What is triangle ?

Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.

Given,

Triangle XYZ is a right triangle with ZQ XY.

proportional

ce

segment addition postulate

You want the words that finish the proof of the Pythagorean theorem.

Similar triangles

The proof makes use of the fact that the right triangles in the figure are all similar, and the fact that similar triangles have proportional sides.

The proportion b/c = e/b can be rearranged to b² = ce.

Then the segment addition theorem is invoked to let you use the fact that f+e = c.

Therefore, The answers are proportional , ce, segment addition postulate if the Triangle XYZ is a right triangle with ZQ XY.

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A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.

Given:

Length of the rectangular floor = 14 ft

Width of the rectangular floor = 6 ft

Edge length of square tile = 3/4 ft

First, let's calculate the number of tiles that can fit horizontally:

Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft

Since we want a whole number of tiles, we need to round down or take the floor value:

Number of tiles horizontally = floor(56/3) = 18 tiles

Next, let's calculate the number of tiles that can fit vertically:

Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft

Again, we round down or take the floor value:

Number of tiles vertically = floor(24/3) = 8 tiles

To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:

Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles

Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

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