Homeowners are building a square closet in a rectangular room that is 24 feet long and 18 feet wide. They want the remaining floor area to be at least 400 square feet. Because they don’t want to cut any of the 1 foot by 1 foot square floor tiles, the side length of the closet floor should be a whole number of feet. Make a table showing possible side lengths of the closet floor and the remaining area for each side length.​

3 is the correct answer bebe :)

6*3=18

18+4=22

Answer:

2 cubic centimeters per minute

Step-by-step explanation:

8 cubic centimeters filled per 4 minutes

divide 8 by 4 = 2

2 cubic centimeters per minute

Answer: 2 cubic centimeters

Step-by-step explanation:

Given : As lucia fills her fish tank, she notices that it fills 8 cubic centimeters of water in 4 minutes.

i.e. Time taken to fills 8 cubic centimeters of water = 4 minutes

By UNITARY METHOD, we have

Amount of water it fills in 1 minute (i.e. Unit rate) = [tex]\dfrac{\text{8 cubic centimeters }}{\text{4 minutes}}[/tex]

= [tex]\dfrac{8}{4}=2[/tex] cubic centimeters

Therefore, it fills 2 cubic centimeters in 1 minute.

Hence, the correct answer is 2 cubic centimeters.

Answer: [tex]y=8[/tex]

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the slope and "b" is the y-intercept.

We know that this is a horizontal line. This means that:

[tex]m=0[/tex]

Knowing that this line contains the point (-4,8) we can substitute  this coordinates and [tex]m=0[/tex] into [tex]y=mx+b[/tex], and then solve for "b":

[tex]8=0(-4)+b\\\\b=8[/tex]

Therefore, the equation of this line in Slope-intercept form is:

[tex]y=(0)x+8\\\\y=8[/tex]

Final answer:

The equation of the horizontal line that contains the point (-4,8) is y = 8 and it demonstrates that for a horizontal line, the slope is 0 and the y-coordinate remains constant along the line.

Explanation:

The equation of a horizontal line that contains a given point can be determined by looking at the y-coordinate of that point. Since a horizontal line has a slope of 0, the y-coordinate of any point on the line does not change. Therefore, the equation of the horizontal line that contains the point (-4,8) is simply y = 8. This equation indicates that the y-value will always be 8, regardless of the x-value, which is characteristic of a horizontal line. In the slope-intercept form of the equation of a line, which is y = mx + b, the slope (m) is 0, and the y-intercept (b) is 8.

Answer:

11

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

[tex]\frac{f(x)}{g(x)}[/tex]

= [tex]\frac{2x+4}{2x^2+4x}[/tex]

Factor out 2 on the numerator and 2x on the denominator.

= [tex]\frac{2(x+2)}{2x(x+2)}[/tex]

Cancel the factor (x + 2) on the numerator/ denominator

= [tex]\frac{2}{2x}[/tex] ← cancel the 2 on numerator/ denominator

= [tex]\frac{1}{x}[/tex] : x ≠ 0

Answer:

Step-by-step explanation:

Whole, integer, rational, real

Answer:

20 children and 20 adults

Step-by-step explanation:

20 + 20 = 40

Answer:

20 adults 20 children

Step-by-step explanation:

if theres the same amount of children and adults just do 40/2

Answer:

3/2 (or 1 1/2)

Step-by-step explanation:

-4 1/6 + 5 2/3​   (express as improper fractions)

= -25/6 + 17/3  (convert fractions common denominator i.e 6)

= -25/6 + (17/3)(2/2)

= -25/6 + (17 x 2)/6

= -25/6 + 34/6

= 9/6

= 3/2

=1 1/2

Answer:

A.

Step-by-step explanation:

81 - 49y^2 = (9 - 7y)(9 + 7y)

FOIL the equation.

(9 - 7y)(9 + 7y)

81 + 63y - 63y - 49y^2

81 - 49y^2

The correct answer is option A. 81 - 49y².

It exists easily identified by looking at the numbers, the number shows a perfect square, and the variable y exists also squared

That is 9² = 81 and 7² = 49

Also, the sign in-between them must be a negative sign, when the expression consists of the above, then it provides a different square.

81 - 49y²

9² - 7²y²

(9 - 7y)(9 +7y)

Opening back the parenthesis to verify our answer

(9 - 7y)(9 +7y)

9(9+7y) -7y(9+7y)

81 +63y -63y -49y²

81 - 49y²

Therefore, the correct answer is option A. 81 - 49y².

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Final answer:

Reading decimal numbers requires understanding the places to the right of the decimal point: tenths, hundredths, thousandths, etc. The least significant place value—which in 0.604 is the thousandth place—helps in reading, rounding, and performing operations like moving the decimal point or using scientific notation.

Explanation:

Understanding how to read decimal numbers is important in mathematics. When reading the digits to the right of the decimal point, the name of each place value position helps you determine the value of the digit. For example, in the number 0.604, the digit '6' is in the tenth place, which means it represents six tenths, the digit '0' is in the hundredth place, acting as a placeholder, and the '4' is in the thousandth place, representing four thousandths. Similarly, in 1.604, the '1' is in the ones place, the '6' is in the tenth place, the '0' is a placeholder in the hundredth place, and the '4' is in the thousandth place.

Knowing the least place value is also important when rounding or when dealing with operations that affect the decimal point. For instance, if we need to move the decimal point or deal with scientific notation, recognizing the least significant digit's place value informs us how to maintain numerical accuracy. If you understand that the least significant digit in 1.604 is the '4' in the thousandth place, you would keep the decimal up to three places if you were to round or shift the decimal in calculations.

Answer:

229

Step-by-step explanation:

100+40+6+80+3

ok why is your math so easy

Answer:

34

Step-by-step explanation:

Substitute the given values for a and b into the expression

7(4) - 2(- 3) = 28 - (- 6) = 28 + 6 = 34

Answer:

6.59

Step-by-step explanation:

52.72 ÷ 8 = 6.59

So the answer is 6.59

Answer:

4725 * 12 = $56,700

Step-by-step explanation:

Salary for 1 month = 4725

Salary for 12 months = 56700 (4725 times 12)

Answer:

$56,700

Step-by-step explanation:

Since there are 12 months in a year, you take the Monthly salary and multiply it by 12 to get the annual salary

Answer:

(4, -1)

Step-by-step explanation:

Since it takes negative two to get from 3 to 1, you also have to deduct 2 from 1, which is -1 [y-coordinate]. Now, since it takes six to get from -8 to -2, you also have to add 6 to -2, which is 4 [x-coordinate].

So, point B is (4, -1).

I am joyous to assist you anytime.

Answer:

- 21

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ], thus

[tex]S_{14}[/tex] = [tex]\frac{14}{2}[/tex][( 2 × 18) + (13 × - 3) ]

= 7 (36 - 39) = 7 × - 3 = - 21

The sum of the arithmetic series with the first term 18, common difference -3, and 14 terms is 231.

To find the sum, Sn, of an arithmetic series where a1 is the first term, d is the common difference, and n is the number of terms, you can use the formula:
Sn = ⅓n × (a1 + an)

First, find the nth term (an) using the formula:

an = a1 + (n - 1)d

For a1 = 18, d = –3, and n = 14:

an = 18 + (14 - 1)(-3)

an = 18 - 39 = –21
Sn = ⅓(14) × (18 + (–21))

Sn = 7 × (18 - 3) × 33

Sn = 231

So, the sum of the series is 231.

Answer:

$157.89

Step-by-step explanation:

The original price is x

you took away 5%, making the new price 95% of x, or .95x

Put it in an equation

.95x = 150

x = 150/.95

x = 30/.19

x = 3000/19

x=157 17/19

x is about $157.89

The amount Nat's paid at the club before the discount is $157.90

Given:

Total bill including discount = $150

Discount = $5

Amount before discount = x

Total bill including discount = Amount before discount - (Discount × Amount before discount)

150 = x - (5% × x)

150 = x - (0.05 × x)

150 = x - 0.05x

150 = 0.95x

divide both sides by 0.95

x = 150 / 0.95

x = 157.89473684210

Approximately,

x = $157.90

Therefore, amount Nat's paid at the club before the discount is $157.90

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Answer:2/7

Step-by-step explanation: 14 divided by 2 equals 7 and 49/7 equals 7 which means 7 is your GCF because seven going into both numbers

Answer:

2/7

Step-by-step explanation:

14÷7 / 49÷7 = 2/7

Answer

2

Step-by-step explanation:

as -6+12-4

The bus must be used 30 times in a month for the total monthly cost without the discount pass to be the same as the total monthly cost with the discount pass.

The mathematical problem deals with determining the number of times one must take a bus ride for a monthly discount pass to be as cost-effective as individual fare payments. To solve it, we must set up an equation based on the cost of bus rides. Let's denote the number of bus rides as 'n'.

Without the pass, each ride is $1.25, so n rides would cost 1.25n dollars.

With the pass, each ride is $0.75 and you also need to pay $15 for the monthly pass, so n rides would cost 0.75n + 15 dollars.

To find out the break-even point, we set these two expressions for the total cost equal to each other:

1.25n = 0.75n + 15

Solving this equation gives us:

0.5n = 15, n = 15/0.5 = 30.

Therefore, the bus must be used 30 times in a month for the total monthly cost without the discount pass to be the same as the total monthly cost with the discount pass.

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Mean absolute deviation of the following would be the best measure of center. Option A is correct.

A boxplot is a visual representation of a data set's dispersion and centers.

The interquartile range and the mean of the data set are two examples of spread measures. The mean, average, and median are examples of center measures.

A box plot is a graph that allows us to readily compare the median number of teeth in mammals and reptiles.

The scatter plot below shows how many visits to fast food establishments each of his classmates made throughout the previous week.

The best indicator of the center would be the mean absolute deviation of the following.

Hence option A is correct.

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Answer:

12

Step-by-step explanation:

Answer: A, 17 inch

The box is 21 inches long, anything longer and it won't fit. 17 inch is the only thing shorter than 21.

Answer:

the green means its right at the top

Step-by-step explanation:

Answer:

[tex]y> \frac{2}{3}x+3[/tex]

Step-by-step explanation:

we have the points

(-3,1) and (0,3)

step 1

Find the slope m of the line

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{3-1}{0+3}[/tex]

[tex]m=\frac{2}{3}[/tex]

step 2

Find the equation of the line in slope intercept form

[tex]y=mx+b[/tex]

we have

[tex]m=\frac{2}{3}[/tex]

[tex]b=3[/tex] ----> the y-intercept is the point (0,3)

substitute the values

[tex]y=\frac{2}{3}x+3[/tex]

step 3

Find the equation of the inequality

we know that

The slope is positive

Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)

Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)

therefore

The equation of the inequality is of the form y > ax+b

The inequality is

[tex]y> \frac{2}{3}x+3[/tex]

see the attached figure to better understand the problem

Answer:

-4 = h(x)

Step-by-step explanation:

[tex]6 - 10 = -4[/tex]

I am joyous to assist you anytime.

Answer:

x=5 , x=4, x=2

i got this answer by setting the x-5=0 then solve for x. same for each x-5, x-4, x-2.

Answer:

The zeros are 2,4 and 5.

Step-by-step explanation:

Consider the provided function.

[tex]f(x) = (x-5)(x-4)(x-2)[/tex]

To find the zeros equate the function equal to 0.

[tex](x-5)(x-4)(x-2)=0[/tex]

The zeros are:

[tex](x-5)=0[/tex] or [tex](x-4)=0[/tex] or [tex](x-2)=0[/tex]

[tex]=5[/tex] or [tex]x=4[/tex] or [tex]x=2[/tex]

Hence the zeros are 2,4 and 5.

Answer:

8.) x = 5, x=-12

9.)x = 5, x = -8

10.)x = -1/5, x = -2

Hope I helped :)

Answer:

10. -2, -⅕ = x

9. -8, 5 = x

8. -12, 5 = x

7. -5, 6 = x

Step-by-step explanation:

10. [tex]5{x}^{2} + 11x + 2 = 0 \\ \\ (5{x}^{2} + x) + (10x + 2) = 0 \\ x(5x + 1) + 2(5x + 1) \\ \\ (x + 2)(5x + 1) = 0 \\ \\ -2, \: - \frac{1}{5} = x[/tex]

9.

[tex]2{x}^{2} + 6x - 80 = 0 \\ \\ (2{x}^{2} + 16x) - (10x - 80) = 0 \\ 2x(x + 8) -10(x + 8) = 0 \\ \\ (x + 8)(2x - 10) = 0 \\ \\ -8, \: 5 = x[/tex]

8.

[tex] {x}^{2} + 8x - 65 = x - 5 \:→ {x}^{2} + 7x - 60 \\ \\ ({x}^{2} - 5x) + (12x - 60) \\ x(x - 5) + 12(x - 5) \\ \\ (x + 12)(x - 5) = 0 \\ \\ 5, \: -12 = x[/tex]

7.

[tex] {x}^{2} = x + 30 → - {x}^{2} + x + 30 \\ \\ (-{x}^{2} - 5x) + (6x + 30) \\ -x(x + 5) + 6(x + 5) \\ \\ -(x - 6)(x + 5) = 0 \\ \\ -5, \: 6 = x[/tex]

I am joyous to assist you anytime.

The lines that are parallel to each other are as follows;

When parallel lines are cut by a transversal, angles relationship are formed.

This angle relationship includes corresponding angles, alternate angles, vertical angles and many more.

Therefore, the lines that are parallel are as follows;

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