John orders several pizzas to eat with his friends.

If each person eats 3/8 of a pizza and there are 7 people, what fraction of pizza is eaten?

Angle constructed by bisecting a 45° angle: By bisecting a 45° angle, we can construct an angle with a measure of 22.5 degrees.

To bisect an angle means to divide it into two equal parts. When we bisect a 45° angle, we are essentially dividing it in half to create two angles of equal measure.

To construct the bisector of a 45° angle, we can follow these steps:

Begin by drawing a ray (a straight line extending indefinitely in one direction) to serve as one side of the angle.

Using a protractor, measure and mark a 45° angle on the ray. This will be our original angle.

Place the point of the compass on the vertex (the point where the two sides of the original angle meet) and draw an arc that intersects both sides of the angle.

Without changing the compass width, place the compass point on one of the intersection points of the arc with the angle.

Draw another arc that cuts across the first arc, creating two points of intersection.

Finally, draw a ray connecting the vertex of the angle to one of the points of intersection on the second arc. This ray will be the bisector of the 45° angle.

Upon completing these steps, we will have constructed an angle bisector that divides the 45° angle into two equal angles, each measuring 22.5 degrees.

It's important to note that bisecting an angle is a fundamental geometric construction technique and can be used to divide any given angle into two equal parts. The process described above is specifically for bisecting a 45° angle, but the same principles can be applied to bisect angles of different measures.

In summary, by bisecting a 45° angle, we can construct an angle with a measure of 22.5 degrees. This construction involves drawing an arc from the vertex, creating two intersection points, and connecting the vertex to one of those points to form the angle bisector.

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Jake's box is 8 times greater than Havana's box.

The volume of a cuboid is found by multiplying the length by the breadth by the height.

Given here: Two boxes Jake's and Havana's with Havana's box with dimensions half of Jake's

Therefore the ratio of the volume is = 12× 4 ×8 /6× 2× 4

                                                             =8

Hence, ake's box is 8 times greater than Havana's box.

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To find the magnitude of x, we need to solve the system of equations given:  (1-j9)x + (2+j10)y = 4+j3, (2-j2)x + (7-j6)y = -5+j17. The magnitude of x is approximately √745 i.e., approximately 0.313.

We can use any method to solve this system, such as substitution or elimination. For simplicity, we'll use elimination:
Multiplying the first equation by 2-j2 and the second equation by 1-j9, we get:
(2-j2)(1-j9)x + (2-j2)(2+j10)y = (4+j3)(2-j2)
(1-j9)(2-j2)x + (1-j9)(7-j6)y = (-5+j17)(1-j9)
Simplifying, we get:
(20-18j)x + (26+26j)y = 2+14j
(20-18j)x + (61-47j)y = -112-122j
Now we can subtract the first equation from the second:
(61-47j)y - (26+26j)y = -112-122j - (2+14j)
35-73j)y = -110-136j
Solving for y, we get:
y = (-110-136j)/(35-73j)
To find x, we can substitute this value of y into either of the original equations and solve for x. Let's use the first equation:
(1-j9)x + (2+j10)(-0.565-0.169j) = 4+j3
Simplifying, we get:
x = (4+j3 - (2+j10)(-0.565-0.169j))/(1-j9)
x = 0.235-0.206j
Now we can find the magnitude of x:
|x| = sqrt(0.235^2 + (-0.206)^2)
|x| = 0.313
Therefore, the magnitude of x is approximately 0.313.

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Answer:

They need to wash 72 cars

Step-by-step explanation:

2000 - 1640 = 360

360/5 = 72

As per the given equation, the given value x = 6 is a solution of the inequality x - 5 ≤ 10.

To determine whether the given value x = 6 is a solution of the inequality x - 5 ≤ 10, we can substitute the value of x into the inequality and check if the resulting statement is true or false.

Substituting x = 6 into the inequality, we get:

6 - 5 ≤ 10

Simplifying the left side, we have:

1 ≤ 10

Since 1 is indeed less than or equal to 10, the statement is true.

Therefore, the given value x = 6 is a solution of the inequality x - 5 ≤ 10.

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On a coordinate plane, kite HIJK with diagonals is shown. Point H is located at (-3, 1), point I is at (-3, 4), point J is at (0, 4), and point K is at (2, -1). The diagonals of this kite connect points H and J, and points I and K, creating an intersecting pattern within the shape.

Based on the information provided, we know that a kite shape has been loaded onto a coordinate plane with points h, i, j, and k located at specific coordinates. The coordinates for point h are (-3, 1), for point i are (-3, 4), for point j are (0, 4), and for point k are (2, -1). Additionally, we know that the kite has diagonals, but we are not given any information about their lengths or intersection points.

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Answer:

B is the answer

Step-by-step explanation:

Answer:

iF X IS POSITIVE THEN -X IS ALWAYS NEGATIVE

IF X IS NEGATIVE, THEN -X IS ALWAYS POSITIVE

THE NEGATIVE OF A POSITIVE IS ALWAYS POSITIV

THE NEGATIVE OF A NEGATIVE IS ALWAYS POSITIVE

Step-by-step explanation:YS

−x is always equal to a negative integer is an incorrect statement.

The student is not correct.

A number system is defined as a system of writing to express numbers.

−x is always equal to a negative integer when x is positive integer

−x is always equal to a positive integer when x is negative integer

Which means the value of -x changes on the integer of x.

If x is positive then -x will be always negative, If x is negative then -x is positive.

The negative of a negative integer is positive and the negative of positive integer is negative.

Hence  −x is always equal to a negative integer is an incorrect statement.

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Answer:

m+10

Step-by-step explanation:

We know that yesterday, eric had m baseball cards. Thus, we can denote that the total number of baseball cards he had yesterday is m.

We know that he got 10 more today. Since he is receiving more, he is adding to his collection. Since he is getting more, we have to add 10 to how many baseball cards he used to have. He used to have m baseball cards, so today he has m+10 baseball cards.

This is the answer as we cannot combine 10 and m. Since m is a variable with no set value as of now, and 10 is a constant number that has no variable, they are not like terms and cannot be added. So the answer is m+10 baseball cards.

I hope this helped.

Please consider giving brainliest if anyone else responds.

The external financing required by Berea for the coming year is $34 million.

Given data,

Capital expenditure program for the coming year= $70 million

Earnings before interest and taxes for the next year= $45 million

Increase in dividend payments= $1 million

Increase in current asset needs= $4 million

Increase in current liabilities, excluding short-term bank borrowings= $4 million

Interest payments= $5 million

Long-term debt retirement obligations= $7 million

Depreciation on financial statements for next year= $15 million

Depreciation on tax purposes for next year= $18 million

To calculate external financing required by Berea for the coming year, we need to calculate the amount of total fund required for the next year as follows:

Calculation of total fund required for the next year:

Sources of Fund Amount ($)Earnings before interest and taxes (EBIT)$45 million

Increase in current liabilities (excluding bank borrowing) $4 million

Depreciation on financial statements $15 million

Total Sources of Fund$64 million

Application of Fund Amount ($)Capital expenditure program for the coming year $70 million

Dividend payment$12 million

Increase in current asset needs $4 million

Interest payments $5 million

Long-term debt retirement obligations $7 million

Total Application of Fund $98 million

Therefore, Total fund required for the next year = $98 million

Total sources of fund available for the next year = $64 million

External financing required for the next year= Total fund required for the next year - Total sources of fund available for the next year= $98 million - $64 million= $34 million

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Answer:

Answer:

The overlap is 40 - 30 = 10 which means 10 people like both. 65 - 40 = 25 people like tennis only and 25 + 10 = 35 people like tennis.

Working efficiently, grouping tasks together, using the hood only when necessary, and proper cleaning and maintenance can all help minimize the number of times the hood sash is raised and lowered.

To minimize the number of times the hood sash is raised and lowered, it's important to work efficiently as possible in the hood. This means planning out your work ahead of time and grouping tasks together that require similar equipment or materials.

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Answer:

12:7

Step-by-step explanation:

24 is the number of hotdogs and for very 24 hotdogs there are 14 hamburgers:

So it can be wirriten like this: 24:14

But we can simlify it further by dividing each side by 2.

24 / 2 : 14 / 2

12:7

The general solution to the system of differential equations dx/dt = 9, dy/dt = 3y is:

\(x(t) = 9t + C1\\y(t) = Ce^{(3t)} or y(t) = -Ce^{(3t)\)

To solve this system, we can start by integrating the first equation with respect to t:

x(t) = 9t + C1

where C1 is a constant of integration.

Next, we can solve the second equation by separation of variables:

1/y dy = 3 dt

Integrating both sides, we get:

ln|y| = 3t + C2

where C2 is another constant of integration. Exponentiating both sides, we have:

\(|y| = e^{(3t+C2) }= e^{C2} e^{(3t)\)

Since \(e^C2\) is just another constant, we can write:

y = ± \(Ce^{(3t)\)

where C is a constant.

The general solution to the system of differential equations dx/dt = 9, dy/dt = 3y is:

\(x(t) = 9t + C1\\y(t) = Ce^{(3t)} or y(t) = -Ce^{(3t)\)

where C and C1 are constants of integration.

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Question

find the general solution of the system of differential equations dx/dt = 9

dy/dt = 3y

The answers are as follows a) The table for frequency distribution is: 70 - 109 9 0.225110 - 149 18 0.450150 - 189 11 0.275190 - 229 3 0.075 Total 40 1.000, b) The table is: 70 - 109 9 0.225 0.225110 - 149 18 0.450 0.675150 - 189 11 0.275 0.950190 - 229 3 0.075 1.000, (c) Class boundaries are: 70 - 10970 10969.5 109.5110 - 149110 149109.5 149.5150 - 189150 189149.5 189.5190 - 229190 229189.5 229.5, and Class midpoints are: 70 - 10970 10989.5110 - 149110 149129.5150 - 189150 189169.5190 - 229190 229209.5.

a) To construct the frequency distribution for drive-through service times for Burger King lunches using the accompanying data set, we will have to use a lower class limit of 70 seconds and use a class width of 40 seconds.

The lunch times were measured between 11:00 AM and 2:00 PM. The data set is as follows: 69 71 101 89 99 103 104 102 96 92 78 86 77 94 95 93 85 90 91 79 76 80 97 87 82 75 72 81 84 88 83 100 98 74 73 105 106 107 108

We need to start by listing the lower limits of each class. Lower class limits are rounded down to the nearest whole number. Since the starting lower class limit is 70, then the first class will have a lower limit of 70.

The table for the frequency distribution is given below: Class IntervalFrequencyRelative Frequency 70 - 109 9 0.225110 - 149 18 0.450150 - 189 11 0.275190 - 229 3 0.075 Total 40 1.000

b) To construct the Cumulative frequency distribution table for the data, we will add the relative frequencies for each class. The table is given below: Class IntervalFrequencyRelative FrequencyCumulative Frequency70 - 109 9 0.225 0.225110 - 149 18 0.450 0.675150 - 189 11 0.275 0.950190 - 229 3 0.075 1.000

c) Using the Frequency distribution in a), we can find the class boundaries and class midpoints. Class boundaries are half-way points between upper limit of one class and lower limit of the next class. Class boundaries can be calculated using the formula: Upper limit of one class + lower limit of next class / 2.

Class boundaries are obtained as follows: Class IntervalLower Class LimitUpper Class LimitClass Boundaries70 - 10970 10969.5 109.5110 - 149110 149109.5 149.5150 - 189150 189149.5 189.5190 - 229190 229189.5 229.5

To calculate the class midpoints, we use the formula: Lower limit + upper limit / 2. Class midpoints are obtained as follows: Class IntervalLower Class LimitUpper Class LimitClass Midpoints70 - 10970 10989.5110 - 149110 149129.5150 - 189150 189169.5190 - 229190 229209.5

We can now plot a histogram using the class midpoints on the horizontal axis and the frequencies on the vertical axis. The histogram is given below: The data is not a normal distribution because it is not symmetric and is skewed to the right.

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7v + 12b = 640

12v + 6b = 456

Multiply the bottom equation by -2 in order to cancel out 12b with 6b.

7v + 12b = 640

- 24v -12b = -912

-17v = -272

17v = 272

v = 272/17

v = 16 students

If we use this: 7v + 12b = 640 ;then:

7(16) +12b = 640

112 +12b = 640

12b = 640 -112

12b = 528

b = 528/12

b = 44 students

So the number of students in each van is 16, and number of students in each bus is 44.

Answer:

Step-by-step explanation:

1) 8.9

2) 27.8

3) 24.3

4) 11.4

5) 27.5

6) 49.2

7) 8.1
8)4.8

Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers

Answer:I think its A.

Step-by-step explanation:

I'm too lazy too explain you got your answer please be happy

Answer:

689/1000

hope this helped

Answer:

Symmetric property

Step-by-step explanation:

Symmetric property of equality tells that for all real numbers p and q, if p=q then q=p. which means if we interchange the sides of an equation then the equation is still a true statement

The value of the fourth quartile q3=66.951  when the mean is 63.6 inches and the standard deviation is 2.5 inches.

The normal distribution: This is the distribution of type of continuous probability distribution in which most data points cluster toward the middle of the range, while the rest taper off symmetrically toward either extreme.

The middle of the range is also known as the mean of the distribution.

The mean and standard deviation are given

sd=2.5

μ=63.6

P(X<Q3)=0.75

By using the Z- table we get the value of the inv norm(0.75)

inv norm(0.75)=0.6745

Now know all values to find the Q3 substitute in the Q3 formula

Q3=65.4+23*(0.6745)

   =66..981350

Q3=66.951

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Answer:

Not a function of x

Step-by-step explanation:

A vertical line intersects the graph twice, which immediately tells us that y is not a function of x here.  If y were a function, the vertical line would intersect the graph in only one place.

No, A vertical line intersects the graph doubled, which instantly tells us that y exists not a function of x here. If y existed a function, the vertical line would intersect the graph in just one area.

If a vertical line can be drawn to connect the graph of a function in more than one place, then stands NOT a function. If it exists not feasible to draw a vertical line to touch the graph of a function in more than one place, then y exists as a function of x.

No, A vertical line intersects the graph doubled, which instantly tells us that y exists not a function of x here. If y existed a function, the vertical line would intersect the graph in just one area.

Therefore, the correct answer is option B. No.

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Answer:

Price per pound of apple=$0.84

Price per pound of cherry=$2.52

Step-by-step explanation:

Let apple=a

Let cherry =c

Fredrick

4a+14c=38.64. (1)

Wilhelmina

12a+7c=27.72. (2)

Multiply (1) by 1 and (2) by 2

4a+14c=38.64. (3)

24a+14c=55.44 (4)

Subtract (3) from (4)

20a= 16.8

a=16.8/20

a=0.84

Substitute a=0.84 into equ (1)

4a+14c=38.64

4(0.84)+14c=38.64

3.36+14c=38.64

14c=38.64-3.36

14c=35.28

c=35.28/14

c=2.52

Price per pound of apple=$0.84

Price per pound of cherry=$2.52

Check

4(0.84)+14(2.52)

3.36+35.28=38.64

12a+7c=27.72

12(0.84)+7(2.52)

=10.08+17.64

=27.72

Answer:

-3/2

Step-by-step explanation:

See attached image

Answer:

\(m=\frac{-3}{2}\)

Step-by-step explanation:

m = slope
\(m=\frac{-4-5}{4--2}\)  
\(m=\frac{-9}{6}\)
\(m=\frac{-3}{2}\)

The volume of the spherical balloon is increasing at the rate of 3.8ft^3/min.

Diameter of balloon is 1.7ft.

Let's find the relationship between the volume, radius, and diameter of the spherical balloon. The formula for the volume of a sphere is given as V = (4/3)πr³

where r is the radius of the sphere. To find the diameter of a sphere, we use the formula:D = 2r

Differentiating the formula for volume with respect to time, we have:dV/dt = 4πr²(dr/dt)

Here, dV/dt represents the rate of change of volume of the sphere and dr/dt represents the rate of change of the radius of the sphere.

Now, substitute the values given in the question:dV/dt = 3.8 ft³/minr = 1.7/2 = 0.85 ft

When diameter is 1.7 ft, radius (r) = 0.85 ftDifferentiating the formula for diameter with respect to time, we get:d/dt (D) = d/dt (2r)We know that dr/dt = ? (rate of change of radius)Therefore, d/dt (D) = 2 × dr/dt

Substitute the value of dr/dt in the above equation to get:d/dt (D) = 2 × dr/dtd/dt (D) = 2 × [dV/dt ÷ 4πr²]Substitute the given values:d/dt (D) = 2 × [3.8/(4×π×0.85²)]d/dt (D) ≈ 0.868 ft/minTherefore, the diameter of the balloon is increasing at a rate of approximately 0.868 ft/min when the diameter is 1.7 ft.

So, the diameter of the balloon is increasing at a rate of approximately 0.868 ft/min when the diameter is 1.7 ft.

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