Three friends bought 4, 6, and 8 books. The table shows the cost of the books.
Number of Books 4 6 8
Cost ($) 30 45 60

What is the constant of proportionality?

(A) 2
(B) 7.5
(C) 15
(D) 30

Answer:

24:5

Step-by-step explanation:

Answer:

Sale price is $12 which is 80% of the regular price.

Step-by-step explanation:

A large two-topping Pizza is 20% off the regular price of $15.

Therefore, the sale price is [tex]15(1 - \frac{20}{100} ) = 15 \times 0.8 = 12[/tex] dollars. (Answer)

Now, let us assume that x% of regular price i.e. $15 is the sale price i.e. $12.

So, [tex]\frac{15 \times x}{100} = 12[/tex]

⇒ [tex]x = \frac{12 \times 100}{15}[/tex]

⇒ x = 80%  (Answer)

Answer:

15 regular price 20% discount ? sale price and the next answer is 0.8(15) and the sale price gone be 12.

Step-by-step explanation:

I did the I-ready Hope this helps.

0.8(15) answer 12 so thats how I know thats the sale price and they wanted to know what was the sale price. I did the I-ready..Now have a good day at school or whatever.

Answer:

2 days & 3 hours

Step-by-step explanation:

Answer: 6hrs

Step-by-step explanation:

Answer:

The value of given expression for x = - 10  is - 81

Step-by-step explanation:

Given expression as :

3 [tex]\frac{4}{5}[/tex]x - 2 [tex]\frac{1}{2}[/tex]

Or, 3 +  [tex]\frac{4}{5}[/tex]x  - 2 -  [tex]\frac{1}{2}[/tex]

Or,  [tex]\frac{19}{5}[/tex]x -  [tex]\frac{5}{2}[/tex]

or,  [tex]\frac{38 x - 25}{5}[/tex]

Now for  x = - 10

[tex]\frac{38\times (- 10)  - 25}{5}[/tex]

Or, [tex]{38\times (- 2)  - 5}[/tex]

∴ - 76 - 5

Or, - 81

Hence The value of given expression for x = - 10  is - 81  Answer

Answer:

y = -3/2 x + 3

Step-by-step explanation:

If two lines' slopes multiply to get -1, they are perpendicular to each other.

In -6x+9y-12=0, find the slope by converting to slope-intercept form.

Isolate y:

-6x+9y-12=0

-6x+9y = 12

9y = 6x + 12

y = 6/9 x + 12/9

y = 2/3 x + 4/3

The slope in this line is 2/3.

To find the slope of a perpendicular line, find its negative reciprocal. The negative reciprocal is when you switch the top and bottoms numbers and multiply it by -1.

2/3 => -3/2

The slope of the perpendicular line is -3/2.

In -8x+2y-6=0, find the y-intercept by converting to slope-intercept form.

Isolate y:

-8x+2y-6=0

-8x + 2y = 6

2y = 8x + 6

y = 8/4 x + 6/2

y = 2x + 3

Slope-intercept form is y = mx + b, which b is the y-intercept.

The y-intercept is 3.

Substitute the slope and y-intercept values into the equation of a line in  slope-intercept form.

y = mx + b

y = -3/2 x + 3

-82.5, -41 4/5, -13 1/8, -4.3

Final answer:

To arrange the numbers from least to greatest, you order them based on their value on the number line, with larger negative values representing smaller quantities. The numbers from least to greatest are -82.5, -41 4/5, -13 1/8, and -4.3.

Explanation:

To arrange the numbers -4.3, -82.5, -41 4/5 (which is -41.8), and -13 1/8 (which is -13.125) from least to greatest, we must compare their values on the number line. Larger negative numbers are those with the greater absolute value or those that are farther from zero in the negative direction.

Focusing on the given numbers:

-82.5 is the largest negative number, so it is the least.

-41 4/5 (or -41.8) is next, being less negative than -82.5.

-13 1/8 (or -13.125) is less negative than both -82.5 and -41.8.

-4.3 is the smallest negative number, so it is the greatest of the negatives.

Therefore, when ordered from least to greatest, the numbers are:

-82.5

-41 4/5

-13 1/8

-4.3

Answer:

n=-19

Step-by-step explanation:

-37+n+37=-56+37

n=-19

Answer:

-37+n=-56

n= -56-(-37)

n= -19

Answer:

Step-by-step explanation:

So basically what you want to do is start with the distributive property.

-0.5(x+0.3) = 1.6x+0.9(x+4.8) would then equal -0.5x-0.15 = 1.6x+0.9x+4.32.

Then, add the matching terms on the right side (the x values) 1.6x+0.9x =2.5x

Your equation should the look like -0.5x-0.15 = 2.5x+4.32.

Next, add -0.5x to 2.5x giving you 3x

The equation will look like -0.15 = 3x+4.32

After that subtract 4.32 from -0.15 leaving you with -4.47=3x

Divide 3x from both sides

Your answer should be x= -1.49.

I hope this was helpful and not super confusing! Also if anything is incorrect let me know! :)

Answer:

-(7/8) is equivalent to -7/8

B) -7/8 is correct option

-7/8 is equivalent to -(7/8).

The multiplication or division of two negative number or sign will always give a positive numbeer or sign.

By cheking all options

1. -(7/-8)=7/8     as multiplication or division of two negative number or sign will always give a positive numbeer or sign.

2. -7/8=-(7/8)

3. -(-7/8)=7/8     as multiplication of two negative sign will always give a positive sign.

4. -7/-8=7/8       as division of two negative sign will always give a positive sign.

Therefore from above it is clear that -7/8 is equivalent to -(7/8).

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You compare fractions by seeing the denominator is the same and then you add them or multiply them or diving them and that is how you compare fractions.

Final answer:

The area of the rectangle is 12.8 square inches.

Explanation:

The area of a rectangle can be found by multiplying its length by its width. In this case, the length of the rectangle is 1.6 inches and the width is 8 inches. So, the formula for the area is:

Area = length x width

Substituting the given values, we get:

Area = 1.6 inches x 8 inches = 12.8 square inches

Answer:

y=3 is the answer to this

Answer:

-3

Step-by-step explanation:

which of the following is written in correct scientific notation?

Answer:

x = - 3

Step-by-step explanation:

x = 8 is the equation of a vertical line parallel to the y- axis.

Thus a line parallel to it will also be vertical with equation

y = c

Where c is the value of the x- coordinates the line passes through

The line passes through (- 3, - 2) with x- coordinate - 3, thus

x = - 3 ← equation of parallel line

There is no equation of a line that is parallel to x=8 and passes through the point (-3, -2).

To find the equation of a line parallel to x = 8 and passing through the point (-3, -2), we need to know that a line with an equation x = a is a vertical line passing through the point (a, 0), and it has no slope. Since we need to find a line with the same slope as x = 8, we can set the equation to x = -3, which represents a vertical line passing through the point (-3, 0).

However, this line is parallel to x = 8 rather than passing through the point (-3, -2). Therefore, there is no equation of a line that is parallel to x = 8 and passes through the point (-3, -2).

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Answer:

one and fifty six hundred thousandths

Answer:

one and fifty-six ten-thousandths

~ or, simpler ~

one point zero zero five six

Step-by-step explanation: hope this helps :)

Answer:

This for a science class I am guessing

Step-by-step explanation:

8 A -3×6

9 C 12×5 - 3×6

10 A 15× 120 min

11 D 5×-50

12 A add profit subtract expenses from profit total

13 B 118- 34 then divide by 2

14 A add the two costs

Answer:

10oz

Step-by-step explanation:

1 lb = 16 oz, so

(6*16 +4)-(5*16+10)

100-90=

10 oz

First, put both into just ounces. (1lb = 16oz)

6lb 4oz = 100oz.

5lb 10oz = 90oz.

Second, subtract.

100 - 90 = 10oz.

This is the answer. Note that 1lb = 16lb, so we can't put 10oz into pounds.

______

Hence, the answer is 10oz.

______

Best Regards,

Wolfyy :)

Answer:

OPTION A

Step-by-step explanation:

[tex]$ 9r + 2 = \frac{7(r - 5)}{3} $[/tex]

[tex]$ \implies 9r + 2 = \frac{7r - 35}{3} $[/tex]

Multiplying throughout by [tex]$ r $[/tex]we get:

[tex]$ 27r + 6 = 7r - 35 $[/tex]

[tex]$ \implies 20r = -41 $[/tex]

[tex]$ \therefore r = \frac{-41}{20} $[/tex]

OPTION A is the answer.

Answer:

1-  S < L

2-  Spending is less than the limit.

3- 30-3x [tex]\geq[/tex] 14

Step-by-step explanation:

Answer:

{0 ≤ h ≤ 25}

Step-by-step explanation:

The domain of a function is the set of all values for independent variable for which the function must be defined.

Given: The amount earned by Hailey for one hour work =$9.50

She determines that her salary is modeled by the function .

Here h is the independent variable such that 's' is dependent on 'h'.

Since she never works more than 25 hours in a week.

Therefore, the maximum hours she will work = 25

Hence, the domain of this function in this situation is {0 ≤ h ≤ 25}, where h is number of hours she works.

Answer:

{0 ≤ h ≤ 25}

Step-by-step explanation:

The domain of a function is the set of all values for independent variable for which the function must be defined.

Given: The amount earned by Hailey for one hour work =$9.50

She determines that her salary is modeled by the function .

Here h is the independent variable such that 's' is dependent on 'h'.

Since she never works more than 25 hours in a week.

Therefore, the maximum hours she will work = 25

Hence, the domain of this function in this situation is {0 ≤ h ≤ 25}, where h is number of hours she works.

Answer:

Step-by-step explanation:

The formula of a surface area of a sphere:

[tex]SA=4\pi R^2[/tex]

R - radius

We have R = 30m.

Substitute:

[tex]SA=4\pi(30^2)=4\pi(900)=3600\pi\ m^2[/tex]

Box plots are useful for comparing the measure of variability in datasets. Specifically, they compare the interquartile range (IQR), which is the range covering the middle 50% of a dataset. This is represented by the box in the plot, and additional info like median and potential outliers are also shown.

In the field of statistics, box plots, also known as box and whisker plots, are useful for comparing the measure of variability in a data set. The specific measure of variability that can be compared using the box plots is called the interquartile range (IQR).

The IQR is the range within which the middle 50% of a dataset falls. It is calculated by subtracting the lower quartile (25th percentile) from the upper quartile (75th percentile). These quartiles are represented on a box plot by the edges of the box, which makes it easier to visually compare the variability of different datasets.Box plots also present additional information like median and potential outliers in the data.

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Answer:

The three 2-gallon cans of paint  is enough  to complete the job.

Step-by-step explanation:

Given:

It takes 2 1/8 gallons of paint to coat each door and 1 3/5 to coat all of shutters. He had three 2-gallon cans of paint.

Now, to find that is he have enough paint to complete the job.

Total gallons of paint he buys = 3 × 2 = 6 gallons.

Then, let the quantity used change to improper fraction from mixed:

[tex]2\frac{1}{8} =\frac{17}{8}[/tex] and [tex]1\frac{3}{5}=\frac{8}{5}[/tex].

Now, we add the quantity of paints used to paint doors and shutters:

[tex]\frac{17}{8}+\frac{8}{5}[/tex]

[tex]=\frac{85+64}{40}[/tex]

[tex]=\frac{149}{40}[/tex]

Now, subtracting quantity used from the total quantity:

[tex]6-\frac{149}{40}[/tex]

[tex]=\frac{240-149}{40}[/tex]

[tex]=\frac{91}{40}[/tex]

[tex]=2\frac{11}{40}[/tex]

So, after painting the two doors and several shutters from 3 cans of 2-gallon paint still 2 11/40 quantity of paint is remaining.

Therefore, the three 2-gallon cans of paint is enough to complete the job.

Answer:

C. 45%

Step-by-step explanation:

Initial credit in his account = $750.00

Credit in his account after some purchases = $412.50

⇒Decrease in credit = $750.00 - $412.50

⇒Decrease in credit = $337.5

percentage decrease of amount of available credit = [tex]\frac{decrease\ in\ credit}{initial\ credit}[/tex]×100

                                    = [tex]\frac{337.50}{750.00}[/tex]×100

                                    = [tex]\frac{9}{20}[/tex]×100

                                    = 9×5

                                    = 45%

∴Percentage decrease of the amount of available credit in Dylan's account is 45%

Answer:

39.5

Step-by-step explanation:

We put the numbers in order least to greatest and pick the middle one because that number is the median:

36, 38, 39, 39, 40, 47, 48, 51

Since 39 and 40 are tied for the median we go in between those two numbers, 39.5.  The answer is 39.5.

Answer:

The probability that he will get a red gumdrop and a piece of butterscotch candy is 2/25

Step-by-step explanation:

The path to find the answer is to find the probability of both things happening  and then multiply them. First, there is 1 red gumdrop and 4 green gumdrops in a jar. There are 5 gumdrops total so the probability of choosing a red one is 1/5. Next, there are 2 pieces of butterscotch candy and 3 pieces of cinnamon candy in another jar. There are 5 pieces of candy total so the probability of choosing a piece of butterscotch candy is 2/5. Finally multiply the two probabilities: 1/5 * 2/5 = 2/25.

The probability that Craig will draw a red gumdrop from the first jar and a butterscotch candy from the second jar is 0.08 or 8%.

The subject of this problem is probability. Probability refers to the measure of the likelihood that an event will occur in a random experiment. In this specific problem, Craig randomly chooses one candy from each jar. We want to find the likelihood that Craig will choose one red gumdrop and one piece of butterscotch candy.

There are a total of 5 gumdrops in the first jar, with 1 being red. Thus, the probability of choosing a red gumdrop is 1/5. In the second jar, there are a total of 5 pieces of candy, with 2 being butterscotch. As such, the probability of choosing a butterscotch candy is 2/5.

To calculate the total probability, you multiply both probabilities, getting a final probability of (1/5) * (2/5) = 2/25 = 0.08. This means that there is an 8% chance that Craig will draw a red gumdrop and a butterscotch candy.

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Answer:

A. Left by 4 units

Step-by-step explanation:

ƒ(x) = x²

It has a vertex at (0, 0), and the y-axis is the axis of symmetry

g(x) = x² + 8x + 16 = (x + 4)²

You have added 4 to the value of x, so you have shifted the graph four units to the left.

Thus, to make the graphs of ƒ(x) and g(x) coincide, you should shift ƒ(x) left by 4 units.

The diagram below shows ƒ(x) in red and g(x) in green.

Answer:

Parabola [tex]P^{2}[/tex] = 16A

Non-linear function.

Increasing function.

Step-by-step explanation:

Let a be the side length of a square ,

Then, Perimeter of square (P) = 4a

So, a can be written as a = [tex]\frac{P}{4}[/tex]

Area of square (A) = [tex]a^{2}[/tex] .

So, A = [tex]\frac{P^{2} }{4^{2} }[/tex]

        =  [tex]\frac{P^{2} }{16 }[/tex]

[tex]P^{2}[/tex] = 16A

It is the equation of parabola. (similar to [tex]y^{2}[/tex] = 4ax)

It is a non - linear function as square of Perimeter is related to Area , not directly Perimeter.

Also, it is a increasing function since as A increases P increases.

Final answer:

The function relating the area of a square to its perimeter is a quadratic function shown by the equation A = P²/16, which is graphed as a parabola. The graph is not linear, and it illustrates that as the perimeter increases, the area increases at an accelerating rate, hence it is always increasing.

Explanation:

To graph the function that relates the area of a square to its perimeter, first understand that the area A of a square is equal to the side length squared (s²), and the perimeter P is four times the side length (4s). These relationships can help us derive the function A = f(P). Here's how you would do it:

The graph of this function is not linear but a parabola opening upwards because it has the form of a quadratic equation A = P²/16. This means the graph will be an increasing curve as the perimeter increases, the area increases at an accelerating rate. It is important to note that the graph of this function is always increasing, and the rate of increase grows as the value of P increases

Answer:

10(n-4)

Step-by-step explanation:

10n-40=10(n-4)

If this is what you were asked to find, then that's the answer. Because 10n-40 is just an expression, it's not something you can solve for it, since it's not an equation. So I simplified this expression for you by factoring.