Mike is catering a party. He plans on having 4 trays of 5 appetizers each on the buffet at the beginning of the party and will rotate in new trays as those become empty. To ensure that he does not run out of appetizers during the party, he is going to make 2 appetizers per person in addition to the initial number put out on the buffet. Which of the following represents A, the amount of appetizers Mike needs to make, in terms of p, the amount of people attending the party?

Answer:

Please read explanation

Step-by-step explanation:

As long as you know that the two shapes are similar, you can use one dimension on both figures to calculate the scale factor. For example, if you know the width of the shape, divide one width by the other to find the scale factor.

Answer:

x=5, y=1

Step-by-step explanation:

Isolate x for 5x-3y=22

5x-3y=22

Add 3y to both sides

5x-3y+3y=22+3y

Simplify

5x=22+3y

Divide both sides by 5

5x/5=22/5+3y/5

Simplify

x=22+3y/5

Substitute  x=22+3y/5

10*22+3y/5-4y=46

Simplify 10*22+3y/5-4y

10*22+3y/5=2(3y+22)

=2(3y+22)-4y

Expand 2(3y+22)

=6y+44-4y

Simplify 6y+44-4y

=2y+44

Isolate y for 2y+44=46

2y+44=46

Subtract 44 from both sides:

2y+44-44=46-44

Simplify

2y=2

Divide both sides by 2;

2y/2=2/2

Simplify;

y=1

For x=22+3*1/5 substitute y=1

y=22+3*1/5

22+3*1=25

=25/5

Divide the numbers;25/5=5

=5

x=5

The solutions to the system of equations are;

x=5, y=1

Answer:

The volume of old box storage is greater Than the volume of plastic container, hence, Devon's clothing will not fit into the plastic container.

Step-by-step explanation:

Converting inch measures to feet :

1 inch = 0.0833 feets

Volume of rectangular prism :

V = Lenght * width * height

Volume of plastic container:

16 in = 16 * 0.0833 = 1.3328 feets

13 in = 13 * 0.0833 = 1.0829 feets

Volume of plastic container :

V = 1.3328 * 1.0829 * 1.75 = 2.526 ft³

Volume of box :

1.5 * 1.5 * 14 = 31.5 ft³

The volume of old box storage is greater Than the volume of plastic container, hence, Devon's clothing will not fit into the plastic container.

Answer:

The answer is ( X , - 2x + 5)

if you click the image it will show you how to solve the equation. I hope this helps you :)

Answer:

Step-by-step explanation:

Rate of decrease = 3% = 0.03

Number of decreased employees = Current number of employees * rate of decrease * number of years

= 810 * 0.03 * 16

= 388.8

= 389

Number of employees = 810 - 389 = 421

Answer: the answer is 66

Step-by-step explanation: 180-90-24=66

Well the sum of all the angles of a triangle is 180˚ so 24+90=114˚

180˚-114˚=66˚.

Answer:

d I think please be right

Answer: 6782.4 ft is your answer

Step-by-step explanation:

Answer: 6785.84

Step-by-step explanation:

Volume of a cylinder is [tex]\pi r^{2}h[/tex]

So solve both cylinders to get

20357.52

13571.68

Subtract to get the difference

6785.84

Answer:

It slides a figure on the coordinate plane without changing its shape, size, or orientation.

Step-by-step explanation:

Trust Milky. Milky smart.

Answer:

D

Look at the picture. :)

105 can be expected to prefer chocolate milk

Let the expected students be x

Calculate the total students = 15+12+6+2 = 35

The expected students prefer milk is

15/35 = x/245

245*15=35x

3675 = 35x

x = 3675 / 35

x = 105

Hence 105 students are expected to prefer chocolate milk .

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Answer:

Angle ABC: 110°

Angle XYZ: 75°

Answer:

Abc is 110

xyz is 75

Step-by-step explanation:

If you look at abc it is a obtuse (more than 90) and 110 is the only one over 90

xyz is a acute angle meaning less than 90. there are 2 possible answers but it is so close to being 90 degrees that i have to say its 75

Answer:

the answer is x=10

Step-by-step explanation:

10*10=100

100-10=90

the red square means 90°

Answer:

its 30.

Step-by-step explanation:

that's all I know.

Given:

The figure of a quadrilateral ABCD.

To find:

The supplement of angle ABC.

Solution:

We know that, two angles are called supplementary angles if their sum is 180 degrees.

[tex]\angle ABC+\angle BAC=110^\circ+40^\circ[/tex]

[tex]\angle ABC+\angle BAC=150^\circ\neq 180^\circ[/tex]

So, [tex]\angle BAC[/tex] is not a supplement of [tex]\angle ABC[/tex].

[tex]\angle ABC+\angle ADC=110^\circ+90^\circ[/tex]

[tex]\angle ABC+\angle ADC=200^\circ[/tex]

So, [tex]\angle ADC[/tex] is not a supplement of [tex]\angle ABC[/tex].

[tex]\angle ABC+\angle DAB=110^\circ+(40+30)^\circ[/tex]

[tex]\angle ABC+\angle DAB=110^\circ+70^\circ[/tex]

[tex]\angle ABC+\angle DAB=180^\circ[/tex]

So, [tex]\angle DAB[/tex] is a supplement of [tex]\angle ABC[/tex].

In the same way [tex]\angle ABC+\angle BDC\neq 180^\circ[/tex].

So, [tex]\angle BDC[/tex] is not a supplement of [tex]\angle ABC[/tex].

Therefore, the correct option is C.

Answer:

3 blue expo markers

Step-by-step explanation:

15(0.2)=3

Answer:

1

Step-by-step explanation:

3 divided by 1/3 is 9, and 9-9=0

0+1=1

1

Step-by-step explanation:

Answer:

B'C' = 2 units

Step-by-step explanation:

The dilation performed makes ∆A'B'C' (sketched flag) similar to ∆ABC (actual flag).

Given that, A'B' = 8 units, AB = 24 ft, and BC = 6 ft, therefore:

A'B'/AB = B'C'/BC

Substitute

8/24 = B'C'/6

Cross multiply

24*B'C' = 8*6

24*B'C' = 48

B'C' = 48/24

B'C' = 2 units

Step-by-step explanation:

A diameter spans from one end of (in this case, a circle) to the direct opposite end, going through the center-point. The radius, on the other hand, is half of a diameter, and spans only from the center-point to a point on the circle.

In this case:

1) Diameter = 18 km (given)

  Radius = 18/2 = 9 km

2) Diameter = 1 x 2 = 2 m

   Radius = 1 m (given)

3) Diameter = 17 x 2 = 34 cm

   Radius = 17 cm (given)

4) Diameter = 50 mm (given)

  Radius = 50/2 = 25 mm

John has a swimming pool, in which the center of the pool to the edge is 3 meters. What is the diameter? Simply multiply 3 with 2:

3 x 2 = 6 meters

6 meters is the diameter.

Answer:

a. 3 13/14

Step-by-step explanation:

i hope this helps :)

Answer:

186.75 feet in 2,241 inches

Step-by-step explanation:

Answer:

186.75 Feet.

Step-by-step explanation:

Answer:

letter a

Step-by-step explanation:

hope it helps

..............

Answer:

$5.00

Step-by-step explanation:

6.50-1.50=5

or

1.50+5=6.50

where each donut is about $1.67

Answer:

y+5

Step-by-step explanation:

Answer: y+5

Step-by-step explanation:hope this help

Answer:

32

Step-by-step explanation:

twelve less than 32 is 20.

its very simple really, just do 20+12 or 12+20 either way its 32

have a great day :D

Answer:

If it's twelve less than a number is 20 then 32 is the answer.

Step-by-step explanation:

BTW, I know someone else already answered this I just really need points. Pls, don't report. Sorryyyyyy

It's might be answer C but im not sure :\

Answer:

Step-by-step explanation:

Positive integers are of the form 2n

The first term is 2 and the 130th term is 2(130)=260

The sum of this arithmetic sequence is the average of first and last terms times the number of terms

(2+260)(130/2)

17030

Answer:

x = -1, y = -1.

Step-by-step explanation:

-3x +y = 2

7x – 8y = 1

We can use the  elimination method to solve these:

Multiply the first equation by 8:

-24x + 8y = 16

Now add this to the second equation:

-17x -8y + 8y = 17

-17x = 17

x = -1.

Plug x = -1 into the first equation:

-3(-1) + y = 2

3 + y = 2

y = -1.