The table shows the linear relationship between the number of pages left to read in a novel and the number of hours a student has already spent reading the novel. Mark each statement as true or false. If false, rewrite the statement correctly.



The student reads at a rate of 48 pages per hour.

The Table Shows The Linear Relationship Between The Number Of Pages Left To Read In A Novel And The Number

Answers

Answer 1

By using the rate of change formula for linear equations, we will see that the statement is true.

Is the statement true or false?

Here we have the following statement:

"The student reads at a rate of 48 pages per hour."

Which relates to the linear equation represented on the table.

A general linear equation is written as:

y = a*x + b

Where a is the rate and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the rate is:

rate = (y2 - y1)/(x2 - x1)

Using the first two points (1,644) and (4, 500) we can get the rate:

R = (500 - 644)/(4 - 1) = -48

So the number of pages remaining decreases by 48 each hour of reading, then yes, the student reads at a rate of 48 pages per hour.

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Related Questions

Zach took a science test. He answered 42 questions correctly and 8 questions incorrectly.

What percentage of the questions did Zach answer correctly?

Answers

Answer:

84%

Step-by-step explanation:

correct answers = 42

incorrect answers =8

total mark=50

% of the correct =

[tex] \frac{42}{50} \times 100 = 84[/tex]answer is 84%

please answer this question (answer is needed as a fraction) ​

Answers

Answer:

4/6 means 2/3 it is most likely 0, 67 or 0, 66.

Step-by-step explanation:

Write an expression to represent:
4 times the difference of x and 2.

Answers

Answer:

4 times the difference of x and 2 is 4(x-2)

Lilly will be randomly given a paintbrush and
a canvas. If there are 3 good paintbrushes out
of 12 in all and 2 good canvases out of 6 in all,
what is the probability that both her paintbrush
and canvas will not be good?

Answers

Answer: The paintbrush will be your magic wand for weaving colors across the canvas. Artist paint brushes become beloved tools the more you use them! As you paint, you will become increasingly familiar with the way the brushes handle the paint and what they can accomplish for you. Pretty soon the paintbrush will become a part of you that you intuitively know how to maneuver.

If you're just starting out in acrylics, it can be a bit overwhelming standing in the paintbrush aisle at the art store, with a vast sea of artist paint brushes spread out before you. The wide selection even makes me dizzy sometimes!

Step-by-step explanation:

A Pre-K teacher has a total of 4/5 ounces of paint. Th teacher puts 1/30 ounces of paint at each table. If the teacher sets up an equal number of tables in the 2 Pre-K classrooms, how many tables does he set up in each classroom?

Answers

Answer:

12 tables per classroom.

Step-by-step explanation:

We will assume that the teacher uses all of the 4/5 oz of paint.  We can find how many samples of 1/30 oz are contained in the 4/5 oz by dividing:

(4/5)÷(1/30) = (4/5)*(30/1)

(4/5)*(30/1)  = (120/5)

(120/5) = 24 samples of 1/30 oz paint in (4/5) oz total paint.

Each of the 2 Pre-K classrooms have the same number of tables, so we can divide 24 samples by 2 to find the number of tables in each classroom,

*24 samples/2 classrooms) = 12 tables/classroom

Find the slope of the line between the given points.

(2,5) and (3,8)

Answers

Answer: m (slope) = 3

Step-by-step explanation: Slope Solution

m=rise run=ΔyΔx

m=y2−y1x2−x1

m=8−53−2

m=31

m = 3

Point Slope Form

y−y1=m(x−x1)

y−5=3(x−2)

Slope Intercept Form

Find the Equation of the Line:

y=mx+b

by solving for y using the Point Slope Equation.

y−y1=m(x−x1)

y−5=3(x−2)

y−5=3x−(3×2)

y−5=3x−6

y=3x−6+5

y=3x−1

m=3

b=−1

Hope this helps :)

Shipping Company A charges $14 plus $2.25 a pound to ship overnight
packages. Shipping Company B charges $20 plus $1.50 a pound to ship
an overnight package. For what weight is the charge the same for the two
companies?

Answers

For 8 pounds of weight, the charges be the same for both the companies.

Given, that To ship an overnight package

Shipping Company A charges $14 plus $2.25 per pound

Shipping Company B charges $20 plus $1.50 per pound

Let, the weight be w

And the cost of shipment by company A & B be A(w) & B(w) respectively.

According to the question,

A(w) = 14 + 2.25w

B(w) = 20 + 1.50w

Now, when charges be the same

A(w) = B(w)

14 + 2.25w = 20 + 1.50w

On subtracting 1.50w on both the sides, we get

14 + 2.25w - 1.50w = 20 + 1.50w - 1.50w

14 + 0.75w = 20

Now on subtracting 14 on both the sides, we get

14 + 0.75w - 14 = 20 - 14

0.75w = 6

On dividing both the sides by 0.75, we get

0.75w/0.75 = 6/0.75

w = 8

Hence, weight = 8 pounds.

For 8 pounds of weight, the charges be the same for both the companies.

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Write the equation for the absolute value function graphed
Thank you!

Answers

The equation using the absolute value function is x+2y-8=0.

What is an Absolute Value Function?The graph opens up or down depending on the value of variable a, which also indicates how far it stretches vertically.We can determine the graph's horizontal and vertical shifts using the variables h and k.The general form of the Absolute value function is f(x) = a|x-h| + k.

In the given graph, we have:

(h, k) ∈ (4, 2) and a = -1/2

In the general absolute value function, substitute these values:

Let's f(x) be y:

y = a | x - h | + k= (-1/2) |x-4| + 2 = (-x/2) + (4/2) +2 = -x/2 + 4   (Multiply with 2)2y = -x + 8x + 2y - 8 = 0

Therefore, the equation using the absolute value function is x+2y-8=0.

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It’s time for ronda to start repaying her student loans, which are amortized over the next 10 years, her first payment due is $396 how much should she expect to pay next month

Answers

Based on the amount that she paid in the first month, the amount Ronda will pay for the next month is $396.

When a loan is amortized, it means that one can pay it off by paying the same amount every period until they would have paid off both the loan and the associated interest.

The amortized amount contains:

A portion going towards the principal(debt )

A portion going towards the interest accumulated.

In conclusion, as the amount is the same every time, Ronda will have to pay the same amount of $396 the next month.

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Samuel orders four DVDs from an online music store. Each DVD costs $9.97. He has a 25% discount code, and sales tax is 7.75%. Round sales tax amounts to the nearest cent. What is the total cost of his order?

Answers

The total cost of his order of DVDs will be $32.23.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Samuel orders four DVDs from an internet-based music store. Every DVD costs $9.97. He has a 25% markdown code, and the deal charge is 7.75%.

The cost of DVDs after discount will be given as,

⇒ 4 x $9.97 x (1 - 0.25)

⇒ $29.91

The cost of DVDs after tax will be given as,

⇒ $29.91 x (1 + 0.0775)

⇒ $32.23

The total cost of his order of DVDs will be $32.23.

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Solve for an angle in right triangles

I just need the answer i don’t need the whole thing explained :)

Answers

Answer: ∠B≈39.81°

Step-by-step explanation:

[tex]\displaystyle\\tg\angle B=\frac{AC}{BC} \\\\tg\angle B=\frac{5}{6} \\\\\angle B=arctg\frac{5}{6} \\\\\angle B\approx39.81^0[/tex]

javieretta earned $9.50 each hour she works at camp clap happy during summer vacation. she earned $304 one week in june and $247 during a week in july. how many hours did she work that week in june? please help

Answers

Javieratta worked for a total of 32 hours in the week of June to earn an amount of 304 dollar.

Javieretta earns $9.50 each hours she works at camp clap happy.

She earned $304 in week of june and $247 during a week in july.

Let us assume that she works X hours.

So, using unitary method, we can write,

X times the amount she earns in one hour = Earning in the week of june.

X(9.50) = 304

X = 304/9.50

X = 32 hours.

So, she worked for a total of 32 hours in the camp clap happy summer vacation.

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Here is a rectangle.
5 cm
7 cm
5 cm
7 cm
The 6-sided shape is made from two of these rectangles.
Work out the perimeter of this 6-sided shape.

Answers

The perimeter of the rectangle is =  48cm

What is permeter of rectangle?The overall length of the outline determines a shape's perimeter in two dimensions. We add the lengths of all four corners of a rectangle to find its perimeter. Since the opposite sides of a rectangle are always equal, we must determine the length and width of the rectangle in order to determine its perimeter. The rectangle's perimeter can be expressed as the product of its length and width times two. As a linear measurement, the perimeter can be expressed in meters, centimeters, inches, feet, etc.

Acc to our question-

area: 7x5 cm, or 357cm + 7cm + 5cm + 5cm = 24simply add two rectanglesarea35+area35:area70perimeter24+perimeter24:perimeter48

Hence,The perimeter of the rectangle is =  48cm.

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the p-value is a. a sample statistic. b. the same as the z statistic. c. a distance. d. a probability.

Answers

The p - value is d ) a probability .

Defining P - Value

P - Value : It is the probability of obtaining results at least as extreme as the  observed results of a statistical hypothesis test , assuming that the null hypothesis is correct . The p - value does not , in itself , establish probabilities of hypotheses . Rather , it is a tool for deciding , whether to reject null hypothesis or not .

A smaller p - value means that there is stronger evidence in favor of alternative hypothesis .

Hence , the p - value is d ) a probability .

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Given g(x)=-x-4g(x)=−x−4, solve for xx when g(x)=10g(x)=10.

Answers

The solution for x in the function when the function g(x) = 10 is 4

How to determine the solution for x in the function?

From the question, we have the following equation that can be used in our computation:

g(x)=x-4

To make the equation legible, we need to rewrite it

So, we have the following representation

g(x) = x - 4

Also from the question, we have

g(x) = 10

This means that we calculate x when g(x) = 10

Substitute the known values in the above equation, so, we have the following representation

10 = x - 4

So, we have the following equation

x - 4 = 10

Add 4 to both sides of the equation

So, we have the following representation

x - 4 + 4 = 10 + 4

Evaluate the equation

x = 14

Hence, the solution is 14

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5/6 divided by
(- 13/7)

Answers

your answer would be -35/78
-35/78 should be your answer

PLEASE HELP, NEED ASAP

Answers

Answer:

Step-by-step explanation:

3) Justin made some cookies for the holiday. She baked 10 sugar cookies, 18 chocolate chip cookies, and 15 ginger cookies. What is the ratio of sugar cookies to ginger cookies in simplest form?​

Answers

18:15

Divide each by GCF of 3

6:5 ——> answer

precipitation data was compiled and discretized into three states. 1. dry, 2. light rain, and 3. wet. given these states the tratisition matrix chain model of davis rainfall was computed as. what is the probability a dry day is followed by a light rain day

Answers

The probability a dry day is followed by a light rain day is 0.07.

Define probability.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

Given.

Here, the markov chain's three possible states are listed as dry, light rain, and wet.

From the second number in the first row, the chance of a dry day followed by a light rain is calculated as follows: P(dry⇒ light) = 0.01.

Therefore, the necessary probability in this case is 0.01.

We currently have (wet⇒ light) - 0.07

Therefore, the necessary probability in this case is 0.07.

The probability a dry day is followed by a light rain day is 0.07.

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A bakery sold a total of 3028 coffee and blue berry buns.1560 more coffee buns were sold than blue berry buns.how many coffee buns did the bakery sell

Answers

Answer:

the bakery sold 1468 blueberry buns sooooo yeah

Step-by-step explanation:

Graph the inequality on the axes below −2x+y≥−6

Answers

A graph of the inequality (-2x + y ≥ -6) is shown in the image attached below.

What is a graph?

A graph simply refers a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.

Next, we would rearrange and simplify the given equation in slope-intercept form as follows:

-2x + y ≥ -6

Adding 2x to both sides of the inequality, we have the following equation:

-2x + y + 2x ≥ -6 + 2x

y ≥ -6 + 2x

Rearranging the equation in slope-intercept form, we have the following equation:

y ≥ 2x - 6

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The graph of a linear function has a slope of 5 and passes through the point (1, 8).
What's the zero?

Answers

The zero in this problem would need to be 0,3

help meeeeeeeeeeeeeeeeee please

Answers

Answer:

t=0

Step-by-step explanation:

Your equation would be 324=-16t^2+324 since 370-46 is 324. subtract each side by 324 and you get 0=-16t^2. t=0

Select the graph that can be used to find the solution(s) of the system of equations:
y = |x| – 3
y = –x2 + 9

Answers

Answer:

(3,0) (-3,0)

Step-by-step explanation:

ask:))

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve. 4 x + 6 < − 6

Answers

The solution to the inequality 4x + 6 ∠ -6 is x ∠ -3

What is an inequality?

inequality shows the relationship between two values in an algebraic expression that are not equal. Inequality signs can indicate that one variable of the two sides of the inequality is greater than, greater than or equal to, less than, or less than or equal to another value.

4x + 6 ∠ -6

taking 6 to the right hand side of the inequality

4x < -6 -6

4x < -12

divide both sides by 4

x < -12/4

x < -3

In conclusion, x < -3 is the solution to the Algebraic expression above.

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Multiply (0.000302)(1000)

Answers

Answer:

0.302

Step-by-step explanation:

Answer: 0.302

Step-by-step explanation:

find the ratio of 2 meters to 76 centimeters

Answers

The ratio of 2 meters to 76 centimetres is 50: 19.

How to find ratios of units?

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

In simpler terms, a ratio compares values.

Let's find the ratio of 2 meters to 76 centimetres as follows:

We have to first convert the units so they will be same.

Hence,

1 cm = 0.01 m

76 cm = ?

cross multiply

length in metres = 76 × 0.01

length in metres = 0.76 metres

Therefore, let's multiply the 2 units by 100.

0.76 × 100 = 76 metres

2 × 100 = 200 metres

In ratio, 200 : 76 will be simplified as 50 : 19

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Rewrite the equation in Ax+By = C form. Use integers for A, B, and C. y+3=-4(x-6)​

Answers

Answer:

4x + y = 21

Step-by-step explanation:

1. distribute in the parenthesis first, so the right side of the equation is not -4x+24

Right now the total equation looks like y+3 = -4x+24

2. Now we add the 4x to both sides to cancel it out on the left side, so we're left with:

4x+y+3=24

3. After that we can subtract the 3 from both sides to leave us with:

4x+y=21

A bad contains 7 red marbels and 4 blue marbles
A marble is taken from the bag and replaced
another marble is taken from the bag

Work out the probability that the two marbles are the same colour
Give your answer as a fraction

Answers

Answer:

I think its 7/3 or 6/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) Because there are 7 red and 4 blue marbles, there are 7+4=11  marbles in the bag.

So the ratio of all marbles to blue marbles is 11 to 4.

We write this as follows. 11:4

(b)There are 7 red marbles and 4 blue marbles in the bag.

So the ratio of red marbles to blue marbles is 7 to 4.

We write this as follows. 7:4

PLEASE HELP ASAP!!! Determine if the sequence is arithmetic. If it is, what is the common difference?


36, 33, 30, 27, ...


Thank you!

Answers

Answer:

Yes it is

Step-by-step explanation:

Every new number is 3 less than the last number

n-3

Answer:

Yes, -3

Step-by-step explanation:

An arithmetic sequence is when the numbers in the sequence are subtracted or added by the same value everytime to get the next number. (NOT multiplied or divided, if it's that then it's a geometric sequence)

from 36 to 33, we can see the change is -3
from 33 to 30, it's also -3
from 30 to 37, it's also -3

The common difference is the difference between the two consecutive terms in the sequence, which is -3

Since it's subtracting or adding by the same value everytime to obtain the next value, this sequence is an arithmetic sequence, and the common difference is -3

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