Holiday dinners at June’s house are always a festive occasion. One particular holiday, June has 16 guests.

June offers the guests apple pie and blueberry pie. While any guest can have slices of both pies, June never serves a particlar guest more than one slice of each pie and each guest is allowed to decline any slice of pie they don’t care for.

June serves a total of 10 slices of apple pie and a total of 11 slices of blueberry pie.

June serves 8 guests slices of both pies.

How many guests had no pie at all?


a. 3

b.2

c.0

Answer . m= -1/8

Step-by-step explanation:

The perpendicular slope is the negative reciprocal. Meaning that the numerator and denominator are switched and the sign of the slope becomes the opposite. (if the slope was -8, then the perpendicular slope would be 1/8)

Answer: 4/10 , 6/15, 8/20,

Step-by-step explanation:

Answer:  Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/

Step-by-step explanation:

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Solution:

For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.

Number Line:

A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.

So,

We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.

SO,

34 + (-212) = 34 - 212 = -178

Hence,

Our sum which is 178 will lie on the left hand side of the number line.

Answer:

 8 pages per minute

Step-step explanation:

24 / 3

Answer:

thanks

Step-by-step explanation:

your welcome

Answer:

33

Step-by-step explanation:

3(3) + 2 (2(3)+6)

=9 + 2 (12)

=9 + 24

=33

Answer:

here I drew it digitally Hope it helps

Step-by-step explanation:

The graph of the function is a V-shaped curve.

Given that we need to determine the graph of the function f(x) = 7|x - 4| - 1.

To graph the function f(x) = 7|x - 4| - 1, you can follow these steps:

Start by identifying the key points of the function. In this case, the function involves an absolute value, which means it may change direction at the point inside the absolute value.

Set the expression inside the absolute value equal to zero and solve for x to find this critical point:

|x - 4| = 0

x - 4 = 0

x = 4

So, the critical point is x = 4.

Next, consider the behavior of the function on each side of the critical point.

Choose some values of x less than and greater than 4 and substitute them into the function to determine the corresponding y-values.

Let's choose x = 2:

f(2) = 7|2 - 4| - 1

f(2) = 7|-2| - 1

f(2) = 7(2) - 1

f(2) = 14 - 1

f(2) = 13

Let's choose x = 6:

f(6) = 7|6 - 4| - 1

f(6) = 7|2| - 1

f(6) = 7(2) - 1

f(6) = 14 - 1

f(6) = 13

Therefore, we have the points (2, 13) and (6, 13) on the graph.

Plot the critical point and the points you found on the coordinate plane. Mark them on the x-axis and y-axis.

To graph the absolute value part of the function, draw a V-shaped curve with the vertex at the critical point (4, 0).

The arms of the V-shaped curve will pass through the plotted points (2, 13) and (6, 13).

Extend the arms of the V-shaped curve indefinitely in both directions.

Finally, add the constant term (-1) by shifting the entire graph down by 1 unit. This means that every y-value on the graph should be reduced by 1 unit.

Your completed graph of the function f(x) = 7|x - 4| - 1 should resemble a V-shaped curve with its vertex at (4, -1), passing through the points (2, 12) and (6, 12), and extending infinitely in both directions.

The graph of the function is attached.

Learn more about Function click;

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Answer:

I think 39

Step-by-step explanation:

Answer:

(-3)^4

Step-by-step explanation: We just have to evaluate

So, the only expression that exceeds 4^3 is (-3)^4:

Answer:

Probably B

Step-by-step explanation:

Answer:

$7049 is the answer.

Step-by-step explanation:

Answer: $7980

Step-by-step explanation:

Follow the formula A=Pe^rt

A= 7500(e)^(.031)(2)

A= 7980

hola. én gou. hul gh ghî

Answer: 669

Step-by-step explanation:

Answer:

The answer is x = 20

Step-by-step explanation:

If you set both equations equal to each other and solve for x, you will get 20.

3x+32 = 5x-8        add 8 to both sides

3x+40 = 5x           subtract 3x from both sides

40 = 2x                 divide by 2 on both sides

20 = x

Answer:

gfdsgfds

Step-by-step explanation:

fdgdsf

Answer:

it is 112° .. as you will solve it like this (180-44=136) and each angle down there are equal so we will divide 136÷2 so each angle is 68° ,, finally to find x you can do it in two ways 1) (68+44) =112 or you can go with (180-68=112)

Answer:

Greatest Common Factor of 40+24 is 8

Rewriting the expression using the distributive property we get             8(5+3) =8(5)+8(3)

Step-by-step explanation:

We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property

The greatest number that is divisible by both numbers is known as greatest common factor.

So, Greatest Common Factor of 40+24 is 8

Now, Taking 8 common we get: 8(5+3)

It is written as: a(b+c) = ab+ac

So, we have 8(5+3) =8(5)+8(3)

Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)

Answer:

Choice 3: AAS

Step-by-step explanation:

We can prove that by AAS that means we need two congruent angles and one congruent side.

The first angle will be the vertical pair <FBG and <DBC.

The second angle will be the alternate interior pair <G and <D.

The one side will be [tex]\overline{GB}[/tex] and [tex]\overline{BD}[/tex].

Answer:

y=C-5x^2

Step-by-step explanation:

Answer:

y=4/7x

Step-by-step explanation:

Graph the point (4,7) and (0,0) because x is pint and y is servings

The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.

Answer:

Step-by-step explanation:

Answer:

24*4=96

Step-by-step explanation:

lcm of 8 and 12 is 24

hcf of 8 and 12 is 4

24 times 4 = 96