Find the quotient and remainder - Enter your answers as a whole
number followed by the letter R (for remainder) and then the
remainder.
13) 4,297

Yes , ∠WGR is congruent ∠GHR because both angles are on one line.

What does the word "congruent" mean in math?

a) No, ∠PHG is not congruent  ∠MGH because both angles are not equal.

b) No, ∠RHG and ∠MGH are not supplementary angle because in   supplementary angle is equal to 180° .

c) No, ∠SGW  is not congruent   ∠PHV.

d)  Yes , ∠WGR is congruent ∠GHR because both angles are on one line.

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Given:

Let the cost of chocolate bar be 'x'.

Cost of chocolate bar is $0.55

Answer:

$3,690

Explanation:

The shipping charge for all 3 TVs =$90

Cost of a TV = $1200

Therefore, the cost of 3 TVs = 3 x $1200 =$3,600

The total amount paid by Gordon will be:

=$3600+90

=$3,690

Answer: [tex]3.71 \times 10^{-9}[/tex]

Step-by-step explanation:

[tex](2.8 \times 10^{-9})+(9.1 \times 10^{-10})\\\\=10^{-10}(28+9.1)\\\\=10^{-10}(37.1)\\\\=3.71 \times 10^{-9}[/tex]

Answer:

The answer is C: 3.71 × 10−9.

Step-by-step explanation:

Answer:108 inches

Step-by-step explanation:

to find the area of one of the right triangles you do.

base = 6/2 =3

3x6=18

18/2=9

there are 8 right triangles so you would do

9x8 = 72.

then you would add 72 and the area of the square in the middle

6x6=36

36+72= 108

so Area of SA = 108 inches ^2

The scale factor that Noah apply to Polygon P to create Polygon Q is 3

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Area of polygon Q = (6 unit * 9 units) - (3 units * 3 units) = 45 unit²

Area of polygon P * scale factor² = area of polygon Q

5 * scale² = 45

Scale factor = 3

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Use the horizontal number line, the statements which are true include the following:

A. –9 < –7

C. –1 > –3

A number line can be defined as a type of graph with a graduated straight line which is composed of both positive and negative numbers that are placed at equal intervals along its length.

In Mathematics, a number line typically increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

In this context, we can reasonably and logically deduce that the following inequalities on a number line are either true or false:

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Complete Question:

Use the horizontal number line shown to answer the question. Which statements are true?

-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1

Check all that apply.

A. –9 < –7

B. –6 = 6

C. –1 > –3

D. 0 < –3

Answer: A & C

Step-by-step explanation:

Answer: [tex]y=x^2 -10x+41[/tex]

Step-by-step explanation:

[tex]y=(x-5)^2 +16\\\\y=x^2 -10x+25+16\\\\y=x^2 -10x+41[/tex]

[tex] = 2^{3} \\ = 2 \times 2 \times 2 \\ = (2 \times 2) \times 2 \\ = 4 \times 2 \\ = 8[/tex]

ATTACHED IS THE SOLUTION

LAST OPTION IS THE ANSWER.

The volume of the box is 287 and the height of the box is 3

The figure that completes the question is added as an attachment

On the figure, we have

So, the base area is

Base area = Number of squares x Length of square^2

The volume becomes

Volume = Height x Base area

This gives

Volume = Height x Number of squares x Length of square^2

Substitute the known values in the above equation

Volume = 7 x 41 x 1^2

Evaluate

Volume = 287

The base area is

Base area = Number of squares x Length of square^2

The volume becomes

Volume = Height x Base area

This gives

Volume = Height x Number of squares x Length of square^2

Substitute the known values in the above equation

123 = Height  x 41 x 1^2

Evaluate

123 = Height  x 41

Divide by 41

Height  = 3

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Answer:

x = 5/3, 1/3

Or

x=1.6 repeating ,0.3 repeating

Together, Bob and John will need 10 hours to finish the computer program with the given rate of working.

We divide the change in y (output) by the change in x to determine the average rate of change (input).

The amount of work finished in a single day if a task takes x days to complete is equal to 1/x.

It is given that In 30 hours, Bob can write a computer program. John can write a computer program in half the time that Bob takes.

Bob's rate =  B

John 's rate = J

B × 30 = J × 15

Rate of Bob = 1/30 h

Rate of John = 1/15 h

Total time(1/30 + 1/15) = Computer Program

(1/30 + 1/15) = Computer Program/Total time

0.099 = Computer Program/Total time

So, total time = 1/0.099 = 10 hours/computer program

Therefore, Bob and John will finish the computer program in a total of 10 hours.

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Answer:

y=1.75 that’s the unit or you can say the constant so I can do 1.75+1.75 and I would get 3.50

Step-by-step explanation:

Ratios  equivalent to 1:2 9:18 12:24 5:10​ are 13: 26, 4:8, 7:14, 15: 30 and many more.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

Given Data

ratios  equivalent to 1:2 9:18 12:24 5:10​ are

13:26

as [tex]\frac{13}{26}[/tex] = [tex]\frac{1}{2}[/tex]

4:8

7:14

15:30

and many more.

Ratios  equivalent to 1:2 9:18 12:24 5:10​ are 13: 26, 4:8, 7:14, 15: 30 and many more.

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The estimate of the average rate of change f is -2

The possible graph that completes the question is added as an attachment

The interval is given as

-1 ≤ x ≤ 0

This can be rewritten as

x = -1 to x = 0

This can also be represented as

(a, b) = (-1, 0)

From the attached graph, we have

f(-1) = 7

f(0) = 5

The estimate (to one decimal place) of the average rate of change f is

Rate = [f(b) - f(a)]/[b - a]

This gives

Rate = [f(-1) - f(0)]/[-1 - 0]

So, we have

Rate = [7 - 5]/[-1 - 0]

Evaluate

Rate = -2

Hence, the average rate of change f is -22

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Let's call the amount of lugagge the first men had as x, and the amount of lugagge the second men had as y.

Since both had to pay for excess of luggage, both had the permitted amount of luggage plus an extra amount. Let's call the permitted amount as a, the extra the first men had as z, and the extra the second man had as w. Then, our total amounts of luggage can be rewritten as

Since their total amount of luggage added together was 135 kg, this gives to us the following equation

The charge for the extra luggage is a flat rate, let's call it r, then, the price you pay for the extra luggage is given by the product between this rate and the amount of extar luggage. The first paid $1.35 for his excess luggage and the second paid $2.70 for his excess luggage, therefore

If we divide one equation by the other, we can write the excess of luggage of one as a function of the other.

If all of the luggage belonged to one person, this person would have to pay $8.10 for the excess. If we call the excess of this person as p, the amount of luggage this person had would be

Using the "rate formula" we created before, we can also write p as a function of z.

Rewritting all the total amounts, we have

If we add the equations for x and y together, we have

From the first equation, we know that the sum between both total amounts of luggage is equal to 135.

Now, we have two equations for our two variables.

If we multiply the first equation by 2, and subtract the second equation, we're going to get a new equation only for a(the amount in kilograms of permitted luggage).

The amount of luggage permitted to bring onto the plane for free is 45 kilograms.

Answer:

$1.53

Step-by-step explanation:

Let x represent each bottle of juice, then the equation will be -->

2.45+18x=29.99

18x=29.99−2.45=27.54

Therefore, x=1.53

Each bottle of juice costs $1.53

Answer:

x+46

Step-by-step explanation:

Distribute

Combine like terms

The inequality which is represented by the dashed line and the description as in the task content is; y < Negative three-halvesx + 1.

It follows from the task content that the inequality which correctly represents the line is to be determined.

Therefore, first, the slope which is the rate of change of y to x according to the two points given is;

slope, m = (y2 - y1)/(x2 - x1)

m = (-2 - 1)/(2 - 0)

m = -3/2.

Also, since the point, (0, 1) is given, the y-intercept of the line is; 1.

Therefore the equation of the dashed line is;

y = (-3/2)x + 1.

And ultimately, since the line is dashed and everything to the left is shaded, the required inequality is;

y < (-3/2)x + 1.

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a) The minimum number of dogs that could have a mass of more than 27 kg is 4.

b) The maximum number of dogs that could have a mass of more than 27 kg is 17.

The given table shows information about the masses of some dogs.

a) Because we need the minimum number of dogs,

Let's assume all dogs present in the interval 20 to 40 have a mass of more than 27kg so the minimum value out of 13 and 4 is 4.

b) Because we need the maximum number of dogs,

Let's assume all dogs present in the interval 20 to 40 have a mass of more than 27kg so the maximum of the values present in the interval 20 to 40 is 13 + 4 = 17

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Answer:

Step3

-by-step explanation:

Answer:

4

Step-by-step explanation:

Find and classify the global extrema of the following function:

f(x) = -x^3 + 5 x^2 + x

Find the critical points of f(x):

Compute the critical points of -x^3 + 5 x^2 + x

To find all critical points, first compute f'(x):

d/(dx) (-x^3 + 5 x^2 + x) = -3 x^2 + 10 x + 1:

f'(x) = -3 x^2 + 10 x + 1

Solving -3 x^2 + 10 x + 1 = 0 yields x = 1/3 (5 - 2 sqrt(7)) or x = 1/3 (5 + 2 sqrt(7)):

x = 1/3 (5 - 2 sqrt(7)), x = 1/3 (5 + 2 sqrt(7))

f'(x) exists everywhere:

-3 x^2 + 10 x + 1 exists everywhere

The critical points of -x^3 + 5 x^2 + x occur at x = 1/3 (5 - 2 sqrt(7)) and x = 1/3 (5 + 2 sqrt(7)):

x = 1/3 (5 - 2 sqrt(7)), x = 1/3 (5 + 2 sqrt(7))

The domain of -x^3 + 5 x^2 + x is R:

The endpoints of R are x = -∞ and ∞

Evaluate -x^3 + 5 x^2 + x at x = -∞, 1/3 (5 - 2 sqrt(7)), 1/3 (5 + 2 sqrt(7)) and ∞:

The open endpoints of the domain are marked in gray

x | f(x)

-∞ | ∞

1/3 (5 - 2 sqrt(7)) | -0.0490425

1/3 (5 + 2 sqrt(7)) | 21.9009

∞ | -∞

The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:

The open endpoints of the domain are marked in gray

x | f(x) | extrema type

-∞ | ∞ | global max

1/3 (5 - 2 sqrt(7)) | -0.0490425 | neither

1/3 (5 + 2 sqrt(7)) | 21.9009 | neither

∞ | -∞ | global min

Remove the points x = -∞ and ∞ from the table

These cannot be global extrema, as the value of f(x) here is never achieved:

x | f(x) | extrema type

1/3 (5 - 2 sqrt(7)) | -0.0490425 | neither

1/3 (5 + 2 sqrt(7)) | 21.9009 | neither

f(x) = -x^3 + 5 x^2 + x has no global extrema:

Answer: -x^3 + 5 x^2 + x has no global extrema

The slope of the ramp is m =  h/√(r² - h²).

What is mean by square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Let h = height of the landing.

And, r = the length of the ramp.

Then, the length from the ground where the ramp touches it, to the ground directly below the landing is

⇒ √(r² - h²)

And, The slope of the ramp is m =  h/√(r² - h²)

For example, if the ramp is 5 meters long and the landing height is 3 meters high, the slope of the ramp is 3/4.

As, Slope of the ramp (m) = 3/√(25-9)  = 3/√16  = 3/4

Thus, The slope of the ramp is m =  h/√(r² - h²).

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The number you should multiply 3 1/3 to get a product of 4 is 1 1/5

From the question, the statement is given as

What number should you multiply 3 1/3 to get a product of 4

Let the number be x

So, we have the following representation

3 1/3 * x = 4

Express 3 1/3 as an improper fraction

So, we have the following representation

10/3 * x = 4

Multply both sides by 3

So, we have

10 * x = 12

Divide both sides by 10

This gives

x = 12/10

Express as mixed numbers

x = 1 1/5

Hence, the number is 1 1/5

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Answer:

<8=66°

Step-by-step explanation:

2 angles on a straight line will add up to 180° so

180-114=66.

<8,<4, <1, <5 all equal 66° since vertical angles are equal

The average rate of change per minute in the amount downloaded is 11.5 megabytes per minute

File size: 1400 megabytes

Start time of download: 7:00 pm

File size remaining to be downloaded: 825 megabytes

Time after one has done homework: 7:50 pm

Time elapsed: 50 minutes

File size downloaded: Total file size - File size remaining to be downloaded

= 1400 - 825 = 575 megabytes

Average rate of change per minute = File size downloaded/Time elapsed in minutes

= 575/50

= 11.5 megabytes per minute

So, the average rate of change per minute in the amount of download is 11.5 megabytes per minute

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Answer:

An is A and E

Plsss mark as brainliest

Answer:

3

Step-by-step explanation:

Absolute value is how far away the value is from 0. The only value of x that would make this equation true is 3.

Answer:

86

Step-by-step explanation:

average is calculated as

average = [tex]\frac{sum}{count}[/tex]

given her average was 70 in 3 tests , then

[tex]\frac{sum}{3}[/tex] = 70 ( multiply both sides by 3 )

sum = 210

let the score she must get in test 4 be x for an average of 74 , then

[tex]\frac{210+x}{4}[/tex] = 74 ( multiply both sides by 4 )

210 + x = 296 ( subtract 210 from both sides )

x = 86

she must score 86 in her next test

Answer:

[tex]\frac{x}{3}[/tex]= 70

x=210

[tex]\frac{210+x}{4}[/tex] = 74

210+x=74x4

210+x=296

x=296-210

x=86

Plss mark as brainliest

Answer:

[tex]x=5/3[/tex]

Step-by-step explanation:

[tex]9x+1=16 \\ \\ 9x=15 \\ \\ x=5/3[/tex]

Answer:

0.0533

Step-by-step explanation:

first remove the decimal points, then add a zero to the end.

205*

260  0*5,0*0,0*2=0. 6*5=30, but you carry the 3, so its another 0.

6*0+3=3

6*2=12

2*5=10, but you carry the one, so it is 0. 2*0+1=1

2*2=4

1230

4100=

5330, but we moved 0.26 2 spaces forward, and we moved 0.205 3 spaces forward too. in total, that makes 6 spaces, so now we have to move it back. 533-1 space

53.3-2 spaces           5.33-3 spaces          0.533-4   0.0533-5 spaces