Sara uses 9.2 pints of white paint and blue paint to paint her bedroom walls. 3 4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls

Answer:

D) 56

Step-by-step explanation:

\(\displaystyle \frac{8!}{(8-2)!}=\frac{8!}{6!}=\frac{8*7*6*5*4*3*2*1}{6*5*4*3*2*1}=8*7=56\)

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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The surface area of the rectangular prism is 396 square inches

He will need 504 tlles

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

7 in by 12 in by 6 in

The surface area of the rectangular prism is calculated as

Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)

Evaluate

Area = 396

Hence, the area is 396 square inches

The number of tiles is 7 * 12 * 6 = 504

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Question

wants to tile the surface of a rectangular storage case that is 7 inches​ long, 12 inches​ wide, and 6 inches tall. If he uses all green​ tiles, how many tiles will he​ need?

The percentage of women with weights that are within the limits is:

60.93%

Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:

z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74

z-score for upper limit = (217 - 168.7) / 48.8 = 0.99

Next, we can use a z-table to find the corresponding probabilities for these z-scores:

Probability for lower limit = 0.2296

Probability for upper limit = 0.8389

Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093

Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.

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Answer:

There are 9/10 groups of 2/3 in 3/5.

Step-by-step explanation:

Divide 3/5 by 2/3

False, In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.

What is exponential decay function?

In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time.

                     It can be written as y=a(1-b)x, where y represents the final amount, a represents the initial amount, b represents the decay factor, and x is the amount of time that has passed.

How do you calculate an exponential function?

The equation f(x) = ax, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.

                               The exponential function, which has the form, is a significant mathematical function. f(x) = ax.

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Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):

Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:

Therefore the rate of change is 3.

The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:

A = 1, B = 1, C = 0, D = 3, E = 0.

The general equation of a circle is given by:

x^2 + y^2 + 2gx + 2fy + c = 0

In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:

The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.

The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.

Using the information above, we can substitute the values into the general equation to solve for the corresponding values:

Substituting the x-coordinate of the center (zero) into the equation, we have:

0^2 + y^2 + 2g(0) + 2fy + c = 0

y^2 + 2fy + c = 0

Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.

Substituting the radius of the circle (three) into the equation, we have:

(3)^2 = 9

Therefore, the equation becomes:

y^2 + 2fy + c = 9

Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:

A = 1 (coefficient of x^2)

B = 1 (coefficient of y^2)

C = 0 (constant term)

D = 3 (coefficient of x)

E = 0 (coefficient of y)

Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.

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Question? i cant see again friend

326 divided by 0.24 to the nearest hundredth is 1358.33

To divide 326 by 0.24 and round the result to the nearest hundredth, we can perform the following calculation:

326 ÷ 0.24 = 1358.3333

Rounding to the nearest hundredth means we need to look at the third decimal place.

So 326 divided by 0.24 to the nearest hundredth is 1358.33.

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Given:

Two points are (-1,10) and (-5,3).

Required:

Find the distance between the given points.

Explanation:

The distance between two points is given by the formula:

consider

The distance between the given points is:

Final Answer:

The distance between the given points is

Answer:

\(6 \sqrt{8} \sqrt{2} = 6 \sqrt{16} = 6(4) = 24\)

B is the correct answer.

Answer: You got roasted sir. Leave it alone.

Step-by-step explanation:

The area and perimeter of the parallelogram are: 56 square units and 30 units respectively

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The parameters that will help us do the math are

base = 7

height = 8

Area = 8*7 = 56 square units

perimeter 2b + 2h

perimeter = 2*7 + 2*8

= 14 +16

P = 30 units

Therefore, the perimeter of the parallelogram and area are 30 units and 56 square units

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The correct answer for the required values is 1825.5, 1,812.5, 165.2, 1,690, 1,935, and 245 respectively.

To find the mean, median, standard deviation, first quartile, third quartile, and interquartile range (IQR) of the full-time equivalent number of students (FTES) at Lake Tahoe Community College for the given years, we can solve it using the following formulas for various aspects:

Mean: μ = (Σx)/n

Median: Middle value of the data set

Standard deviation: σ = sqrt[Σ(x-μ)²/n]

First quartile (Q1): Median of the lower half of the data set

Third quartile (Q3): Median of the upper half of the data set

IQR: Q3 - Q1

Year         FTES

2005-06  1,585

2006-07  1,690

2007-08  1,735

2008-09  1,935

2009-10   2,021

2010-11         1,890

1. μ = (Σx)/n = (1,585 + 1,690 + 1,735 + 1,935 + 2,021 + 1,890)/6 = 1,825.2

Therefore the mean is 1,825.2

2. To find the median, arrange the data in ascending order:

1,585, 1,690, 1,735, 1,890, 1,935, 2,021

Since there are an even number of values, the median is the average of the two middle values, which are 1,812.5 and 1,812.5. So, the median is:

Median = (1,812.5 + 1,812.5)/2 = 1,812.5

3. σ = sqrt[Σ(x-μ)²/n]

= sqrt[((1,585-1,825.2)² + (1,690-1,825.2)² + (1,735-1,825.2)² + (1,935-1,825.2)² + (2,021-1,825.2)² + (1,890-1,825.2)²)/6]

= 165.2

4. To find the first quartile (Q1), find the median of the lower half of the data set, which consists of the values 1,585, 1,690, and 1,735.

Since there are an odd number of values, the median is the middle value, which is 1,690. Therefore, Q1 = 1,690.

5. To find the third quartile (Q3), we need to find the median of the upper half of the data set, which consists of the values 1,890, 1,935, and 2,021.

Since there are an odd number of values, the median is the middle value, which is 1,935. Therefore, Q3 = 1,935

6. IQR = Q3 - Q1

Substituting the calculated values in the equation

IQR = 1935 - 1690

= 245

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Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

1.  The new volume will be 60 cubic feet. 2. Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

In general, volume refers to the amount of space occupied by an object or substance, measured in three dimensions: length, width, and height. It is a physical quantity that is typically expressed in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic feet (ft³).

1. The volume of the cuboid is calculated as follows:

Volume = length x width x height

Volume = 5 ft x 3 ft x 2 ft

Volume = 30 cubic feet

If we double the height, the new height will be 2 x 2 ft = 4 ft. The new volume can be calculated as:

New Volume = length x width x new height

New Volume = 5 ft x 3 ft x 4 ft

New Volume = 60 cubic feet

Therefore, the new volume will be 60 cubic feet.

2. Step 1: Determine how many dog beds Molly can make with the fabric she bought.

Molly bought 12.5 yards of fabric, and she uses 2.5 yards of fabric for each dog bed. We can use division to find how many dog beds she can make:

12.5 yards / 2.5 yards per dog bed = 5 dog beds

Therefore, Molly can make 5 dog beds with the fabric she bought.

Step 2: Calculate the cost of the fabric for each dog bed.

Molly bought the fabric for $4.50 per yard, and she uses 2.5 yards of fabric for each dog bed. Therefore, the cost of the fabric for each dog bed is:

$4.50 per yard x 2.5 yards per dog bed = $11.25 per dog bed

Step 3: Calculate the revenue from selling one dog bed.

Molly sells each dog bed for $17.50.

Step 4: Calculate the profit from selling one dog bed.

Profit = revenue - cost

Profit = $17.50 - $11.25

Profit = $6.25

Step 5: Calculate the total revenue from selling all of the dog beds.

Molly can make 5 dog beds, and each dog bed sells for $17.50. Therefore, the total revenue is:

5 dog beds x $17.50 per dog bed = $87.50

Step 6: Calculate the total cost of the fabric for all of the dog beds.

Molly uses 2.5 yards of fabric for each dog bed, and she can make 5 dog beds. Therefore, the total cost of the fabric is:

2.5 yards per dog bed x 5 dog beds = 12.5 yards

$4.50 per yard x 12.5 yards = $56.25

Step 7: Calculate the total profit from selling all of the dog beds.

Profit = revenue - cost

Profit = $87.50 - $56.25

Profit = $31.25

Therefore, Molly will earn $31.25 if she sells all of the dog beds after subtracting the cost of the fabric.

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Step-by-step explanation:

To simplify the expression x^-2y(x^3y^5)^3, we need to perform the operations inside the parentheses first, using the exponent rule that (a^m)^n = a^(mn):

x^-2y(x^3y^5)^3 = x^-2y(x^(33)y^(53)) = x^-2y(x^9y^15)

Next, we can simplify the expression by multiplying the coefficients (numbers) and adding the exponents of x and y, using the product rule that x^mx^n = x^(m+n) and (xy)^m = x^my^m:

x^-2y(x^9y^15) = (1y/x^2)(x^9*y^15) = y^(15+1)x^(9-2) = y^16x^7

Therefore, the simplified form of x^-2y(x^3y^5)^3 is y^16*x^7.

Note that this expression is defined for all values of x and y except for x=0.

Answer:

The slope of the line reflects the actual d.

C. $4/1Gal

Explanation

Step 1

we have the graph of a line, where

y-axis represents the cost ( in dollars)

x-axis represents the Volume ( gallons)

hence, to find the unit price we need to find the slope of the line:

a)when you know 2 points from a lines, P1 and P2, you can find the slope by using this formula:

then, we need to pick up 2 points from the line

Let

P1(0,0)

P2(5,20)

Now, replace in the formula.

therefore, the answer is

I hope this helps you

Answer:

answer is C

Step-by-step explanation:

]

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

you divide 27/12= 2.25 this gives you the price for one.

then you multiply 8 × 2.25 = $18

$18 dollars is the price for 8 pots

Answer:

12,375

Step-by-step explanation:

that x mean time each number by x

Answer:

(6,2)

Step-by-step explanation:

Answer:

(2,6)

Step-by-step explanation:

x=2

y=6

x-y<-3

2-6<-3

-4<-3

-3 is greater than -4

Hope it helps u

Please mark it as the brainliest answer...

Answer:

Jack earned $14 per hour.

Step-by-step explanation:

$112 in 8 hours

So 8x = 112

To find x, 1 hour, we divide 112 by 8

8x = 112

x = 112/8

x = 14

-Chetan K

Answer:

jack will earn 14$ per month

Step-by-step explanation:

135 as a product of its prime factors is written as  3 × 3 x 3 x 5

The prime factors are those prime digits that can divide a particular digit evenly and without leaving any remainder. To put it differently, these are the main digits that, when multiplied with one another, result in the initial number.

In mathematics and number theory, prime factors hold significant value as they enhance comprehension of number properties and interconnections. In addition, they are utilized in a range of mathematical calculations and algorithms.

From the information given, we have the value as;

135

The prime factors are  3 × 3 x 3 x 5

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The interest earned after 3 months is $75

What is simple interest?

The simple interest on a deposit is the principal deposited multiplied by the interest and the time the deposit lasted

I=PRT

I=interest=unknown

P=principal=$6000

R=interest rate=5%

T= 3 months=0.25 year

I=$6000*5%*0.25

I=$75

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Answer:

75 dollars

Step-by-step explanation:

i got it right