Uncle Buck used 5 cups of flour to make 8 dozen muffins. How many
cups of flour would he need to make 20 dozen muffins?

Answer:

d) y= -2/3x+3 1/2

Step-by-step explanation:

Points on the graph: ( -4, 6) and ( -7, 8)

Slope:

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

m=(8-6)/(-7+4)

m= 2/(-3)

m= -2/3

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = -2/3(x + 4)

y - 6 = -2/3x - 8/3

y = -2/3x + 3 1/2

The value of x in the triangular pyramid is 8 units.

The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.

volume of the pyramid = 1 / 3 ×base area × height

Therefore,

base area = 1 / 2 bh

base area = 1 / 2 × 12 × x

base area = 6x

Therefore,

volume of the pyramid =  1 / 3 × 6x × 15

240 = 30x

divide both sides by 30

x = 240 / 30

x = 8 units

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Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Based on the time spent for the soccer game, the calculated degree of the soccer portion is found to be 72°.

How to find the soccer portion of the pie chart?

In mathematics, the complete pie chart is 360° and to calculate the soccer portion using standard formula which states that the division of the total hours spent on soccer and total sports hours multiply with 360°.

According to the question, the given data states that the pie chart is 360° which represents the total sports hours as 50 hours.

Therefore, the soccer portion is:

= Total hours spent on walking / Total sports hours x 360°

= 10 / 50 x 360°

= 72°

Based on the time spent for the soccer game, the calculated degree of the soccer portion is found to be 72°.

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The transformation of f(x) to g(x) is :

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

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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Answer:

Step-by-step explanation:

Unit cube side = 1/8 in

Volume of prism:

Correct option is A

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

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Answer:

Infinity

Step-by-step explanation:

9x -27 = 9x -27

-9x .     -9x

-27 = -27 = always true

For the given triangles:

(1) x = 5.4

(2)  x  =  √23

(3) θ = 25.84 degree

(4)   x = 9.5

(5) n = 41

(1) In the given triangle,

One angle = 16 degree

Perpendicular = x

Hypotenuse    = 20

Since we know that

Sinθ = opposite side of θ/hypotenuse

Therefore,

⇒ sin 16 = x/20

⇒   0.27 = x/20

⇒         x = 5.4

(2)  In the given triangle,

Hypotenuse = 12 km

Base = 11 km

perpendicular = x

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (12)²= (x)² + (11)²

⇒ 144 = (x)² + 121

⇒   x² =  23

Taking square root both sides we get,

Hence,

⇒   x  =  √23

(3) In the given,

Base = 20

Perpendicular = 42

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (Hypotenuse)² =  (42)² + (20)²

⇒ (Hypotenuse)² =  2164

Taking square root both sides,

⇒ (Hypotenuse)  = 46.51

⇒ cosθ = Adjacent/hypotenuse

             = 42/46.51

             = 0.90

Taking inverse of cosθ,

⇒ θ = 25.84 degree

(4) In the given triangle,

One angle = 30 degree

Base = x

Hypotenuse    = 11

Since we know that

cosθ = Adjacent/hypotenuse

Therefore,

⇒ cos 30  = x/11

⇒   √3/2 = x/11

⇒         x = 9.5

(4) In the given triangle,

Base = 40

Perpendicular = 9

Hypotenuse = n

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒  n² = 9² + 40²

⇒  n² = 81 + 1600

⇒  n² = 1681

⇒  n = 41

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The number of adult and children in the group is given as follows:

The amounts are obtained by a system of equations, for which the variables are given as follows:

There were a total of 28 people, hence:

x + y = 28

y = 28 - x.

They spent a total of $308, hence:

15x + 8y = 308.

Replacing the second equation into the first, the value of x is given as follows:

15x + 8(28 - x) = 308

7x = 84

x = 84/7

x = 12.

Then the value of y is given as follows:

y = 28 - x = 28 - 12 = 16.

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The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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627 x 26 equals 16,302 when solved using the standard algorithm.

The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:

627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.

Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.

1254 -- a 6 x 7 partial product

1254 -- a half 6 x 2 product

Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.

1254 x 627

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For clockwise rotation of a triangle by 90 degree, then x coordinate is similar to the y coordinate of original point and y coorinate is negative times of x coordinate of original point.

So (x,y) changes to (-y,x).

The slope of the given line is 13 and the y - intercept of the line is 9.

What is equation of line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

Consider, the given equation of line,

C(m) = 13m + 9

We have to find the slope and y - intercept of the given equation.

From the given equation the slope of the equation is 13 and the y - intercept is 9.

Consider, the general equation of line

y = mx + c

where,

m is the slope of line and

c is the y - intercept of the line.

Compare the given equation C(m) = 13m + 9 with, y = mx + c

⇒  m = 13 and c = 9

Hence, the slope of the given line is 13 and the y - intercept of the line is 9.

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Answer:

Step-by-step explanation:

I do know give me brainliest first

Answer:

24 gift bags

Step-by-step explanation:

Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!

May I have heart, 5 star, and brainliest please?

Answer:

Yes, there will be sufficient evidence at the 0.02 level to support the company's claim

Step-by-step explanation:

Firstly we need to state the null and alternative hypothesis for the above question

We also need to test whether the proportion of chips that fails before 1000 hours is under 0.44. Hence, our hypotheses will be:

H o: p = 0.48

H a: p > 0.48

Where P represent the proportion of Chips.

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. Then the correct option is B.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

3(8 – 4x) < 6(x – 5)

Then solve for x, we have

3(8 – 4x) < 6(x – 5)

 (8 – 4x) < 2(x – 5)

   8 – 4x < 2x – 10

  4x + 2x > 8 + 10

          6x > 18

            x > 3

Then the correct option is B.

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Answer:

If you know what the formula y = mx +b is, then you know that mx is the slope and b is the y-intercept.

Let`s suppose the equation is y = 2x + 1. The line should be intersecting with the coordinate (0, 1) on it`s way across.

The y axis will ALWAYS be the vertical line. Whatever coordinate the line crosses on the y-axis is the y-intercept.

The y-intercept can also be a negative number.

Hope that helps. If you have any questions just comment them.

Answer:

0.18km

Step-by-step explanation:

Lateral Surface Area = 2πrh

= 2 × 22 × 21 × 75

7

= 9900m^2

Area taken by revolution = 9900 × 800

= 7920000m^2

= 7.92 km^2

breadth = 7.92km^2 ÷ 44

= 0.18km

Answer:

-80

-60

Step-by-step explanation:

both are negative

Answer:

will you help me with grade 9 math, algebra 2 please

Step-by-step explanation:

The percentage of the total capacity being used is mathematically given as  98.4 %

Generally, the equation for the Lateral area is  mathematically given as

Lateral area =\(\frac{\theta}{2} \gamma^2-(\gamma-h) \sqrt{h(2-h)}\\\)

Where

\(\theta=2 \cos ^{-1}\left(1-\frac{h}{\gamma}\right)=2 \cos ^{-1}\left(1-\frac{1}{11}\right)\\\\\&\Rightarrow F=\frac{\theta}{2}(11)^2-(11-1) \sqrt{1(2-1)}\\\\&\Rightarrow F=\frac{2\left(\cos ^{-1}(10 \% 11)\right.}{2}(11)^2-(10) \sqrt{1}\\\\&\Rightarrow F=6.167 \mathrm{ft}^2\)

Hence Volume of the whole cylinder is

V=\pi 11^2 l

V=121 \pi l

Generally, the equation for Total capacity is  mathematically given as

\(V_1=\pi(11)^2 L\)

\(=121 \pi 2ft^2\)

Area of cross-section:-

\(\begin{aligned}A &=\int_{-11}^{10}\left[\sqrt{1^2-y^2}-\left(-\sqrt{u^2-y^2}\right)\right] d y \\&=2 \int_{-71}^{10} \sqrt{1^2-y^2} d y . \\A & \cong 373.96 \mathrm{ft}^2\end{aligned}\)

In conclusion, the Percentage of total capacity

\(\% TC=\frac{121 \pi l-6.167 l}{121 \pi l} \times 100 \\\)

\(\% TC =\frac{373.77}{3799+100}=98.37 \%\)

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The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

Its 25

Step-by-step explanation:

It is 25 as 4x5 is 20 so u have the denominator so u do the same for 5 , 5x5 is 25 so 4/5=20/25

The total reimbursement amount is $37.9355

From the question, the given parameters are

Reimburse rate = $0.17 per mile

Total distance moved = 223.15 miles

The mileage reimbursement for the distance he travelled is the product of the mileage rate and the total distance

This is represented as

Total reimburse =  Reimburse rate x Total distance moved

Substitute the known values in the above equation

So, we have the following equation

Total reimburse = 223.15 x 0.17

Evaluate

Total reimburse = 37.9355

Hence, the amount to reimburse is $37.9355

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Answer:

Mean = 3.9

Step-by-step explanation:

Given

The above table

Required

Determine the mean

The mean is calculated as thus:

Mean = Summation of x * P(x)

So, we have:

Mean = 1 * 0.14 + 2 * 0.16 + 3 * 0.12 + 4 * 0.14 + 5 * 0.13 + 6 * 0.31

Mean = 0.14 + 0.32 + 0.36 + 0.56 + 0.65 + 1.86

Mean = 3.89

Mean = 3.9 (approximated)

The mean should be 3.9.

Here the following formula should be used:

Mean = Summation of x * P(x)

So,

Mean = 1 * 0.14 + 2 * 0.16 + 3 * 0.12 + 4 * 0.14 + 5 * 0.13 + 6 * 0.31

= 0.14 + 0.32 + 0.36 + 0.56 + 0.65 + 1.86

= 3.89

= 3.9

Therefore, we can conclude that The mean should be 3.9.

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Answer:

$43,260

Step-by-step explanation:

You have the 3% annual income, which you can convert to a decimal. This gives:

42000 * 1.03

42000 represents Blair's initial income, and 0.03 represents the 3% increase.

I chose 1.03 because I don't have to subtract 97% and add it to 42000.

Answer:

Think of it as a small number and a large number. If the large number is being divided by a small number, of course that would be larger than the small number being divided by the large number.

The statement /B < B/A is true if the 0 < A < B because the denominator is small so the value of B/A is larger.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

A/B < B/A

If you use the principle that the fraction must not be incorrect and have the value A/B1 (i.e., A and B are both positive), then this is true for positive values.

If  A/B = 2/3

Then B/A = 3/2

If A/B < B/A

2/3 < 3/2   (True)  if 0 < A < B

5/7 < 7/5  (true)  if 0 < A < B

Thus, the statement /B < B/A is true if the 0 < A < B because the denominator is small so the value of B/A is larger.

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Answer:

Please check the explanation.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', the equation becomes

y ∝ x

y = kx

where 'k' is called the constant of proportionality.

From the table, it is clear that 'y' varies directly with 'x'

Let us check the value of k for all the points

k = y/x

For the point (130, 9.10)

For the point (145, 10.15)

For the point (150, 10.50)

For the point (185, 12.95)

Thus, the value of proportionality constant is same.

i.e. k = 0.07

Determining the cost of 21 feet of the wire

21 feet = 252 inch

Using the equation

y = kx

Thus, the cost of 252-inch wire will be:

y = kx

substituting k = 0.07, and x = 252

y = 0.07 × 252

y = 17.64 Dollars

Thus, the cost of 21 feet wire will be: 17.64 Dollars

Determining the cost of 15 yards of the wire

15 yards = 540 inches

Using the equation

y = kx

Thus, the cost of 15 yards of wire will be:

y = kx

substituting k = 0.07, and x = 540

y  =  0.07 × 540

y = 37.8 Dollars

Thus, the cost of 15 yards of wire will be: 37.8 Dollars