A caterer prepares three times as many pizzas as she usually prepares for a large party. The caterer usually prepares 4 pizzas. The caterer also estimates that each party guest will eat 1/3 of a pizza. Drag and drop each expression into the correct boxes to complete the explanation.
The expression that represents how many guests the pizzas can serve is (blank).
How many party guests will the pizzas serve? Drag and drop the number of guests into the box.(answer)
The pizzas can serve guests.

Answer:

5 1/3

Step-by-step explanation:

16 = 3a

a = 16/3 = 5 1/3

Answer:

5 1/3

Step-by-step explanation:

16 = 3a

a = 16/3

= 5 1/3

Hope this helps!

Answer:

$15

Step-by-step explanation:

Since there are 10 cards and a total possible prize of 30 dollars, the probability for each one is 30/10=3 dollars. And since 5 out of the 10 are even, you can multiply the individual amount by 5 to get a total estimated payout of $15. Hope this helps!

Answer:

y=2x-2-3

Step-by-step explanation:

First you will need graphing paper. Go ahead and locate the y intercept on each of these equations. Then locate the slope. (y=mx+b). If the slope is positive count the amount of blocks up the slope's value is. And if negative count down. Then count to the right depending on the denominator. (2/1) You will make a triangle draw the line on the hypotenuse of the triangle. Then you have the line. You can also just use desmos.

The equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]

Functions are used to represent equation, graphs and tables

The parent function of the graph is an exponential function represented by

[tex]y = 2^x[/tex]

First, the function is shifted 2 units right.

So, we have:

[tex]y = 2^{x - 2}[/tex]

Next, the function is shifted 3 units up.

This is represented as:

[tex]y = 2^{x - 2} + 3[/tex]

Hence, the equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

Option (A). 44.1

Step-by-step explanation:

In the figure attached,

Triangle XYZ is am obtuse triangle having,

m∠XZY = 133°

m(YZ) = 21 units

m(XZ) = 27 units

By Cosine rule,

(XY)² = (XZ)² + (YZ)² - 2(XZ)(YZ)cosθ

Where θ is the angle opposite to side XY.

(XY)² = (27)² + (21)² - 2(27)(21)cos(133)°

        = 1943.38614

XY = √1943.38614

XY = 44.084

     ≈ 44.1 units

Therefore, length of side XY = 44.1 units

Option (A) will be the answer.

Answer:

20 feet

Step-by-step explanation:

5 descent =>100 feet

1 descent => 100÷5

= 20 descent

Answer:

591.18

Step-by-step explanation:

Answer:

y = x+5

Step-by-step explanation:

First we find the slope

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

m = (7-3)/(2 - -2)

   =(7-3)/(2+2)

  = 4/4

   = 1

The slope intercept form is

y = mx+b

y = x+b

Substitute a point in

7 = 2+b

Subtract 2 from each side

5 =b

y = x+5

Answer:

y = x + 5

Step-by-step explanation:

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

= (7 - 3) / (2 - (-2))

= 4/4

= 1

Since y = mx + b and m = 1,

y = (1) * x + b

y = x + b

7 = 2 + b

b = 5

Putting b = 5 in y = x + b, we get:

y = x + 5

Hope this helps!

Answer:

C

Step-by-step explanation:

PLATO

So, sin E=0.5. Therefore, option C is the correct answer.

Given that, AB║DE and sinA= 0.5.

We need to find the value of sin E.

The value of sinθ must always be between −1 and 1. So the domain of f(x) = sinθ contains all the real numbers, but the range is −1 ≤ sin x ≤ 1. We can also see that the function repeats itself every 360°.

Now, sinA = 0.5

⇒∠A=30°

∠A=∠E=30° (∵∠A and ∠E are alternate angles)

Therefore, option C is the correct answer.

To learn more about trigonometry visit:

https://brainly.com/question/12068045.

#SPJ5

Answer:

7.5

Step-by-step explanation:

Add each number then divide at the end

Answer:

SAS similarity theorem

Step-by-step explanation:

Both the triangles are similar by SAS similarity theorem.

Answer:

  (-2, 2)

Step-by-step explanation:

Plotting the points on the graph can show you which is in the shaded area. That point is (-2, 2).

Answer:

(-2,2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I hope it helps

Answer:

D

Step-by-step explanation:

(6x^2-6)×(6x-1)/(6x-6)

Simplify

U get (x+1)(6x-1)

Answer:

x = 358. / Maximum amount of money for sales = $3,759

Step-by-step explanation:

x + 26 = 384. Inverse operations

-26. -26

x = 358

358($10.50) = $3,759

Answer:

D. 1,248 cubic units

Step-by-step explanation:

the volume of the rectangular prism = length*width*height = 12*8*13 = 1248 cubic units

Answer: D. 1,248 cubic units

Step-by-step explanation:

The formula for a rectangular prism volume is: V = Length x Width x Height.

In this question it already gives us all of the sides that we need! So all we need to do is just multiply all the sides together to get the volume.

12 x 8 x 13 = 1,248. Therefore D is correct!

Hope this helped you!

Answer:

[tex]V=122.5in^3[/tex]

Step-by-step explanation:

The volume of a right circular cone can be found with the formula [tex]V=\pi r^2\frac{h}{3}[/tex] .

So, just plug in the values that are given (by the way, the radius is found by dividing the diameter by 2 since it's half the value of the diameter).

[tex]V=\pi r^2\frac{h}{3}\\V=\pi (3.8)^2(\frac{8.1}{3} )\\V=\pi (14.44)(2.7)\\V=122.484\\V=122.5in^3[/tex]

Answer:

122.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

keep change flip

Answer:

it's SAS. You've probably found out by now sorry :/

Step-by-step explanation:

Answer:

sas

Step-by-step explanation:

Answer:

b) 5.8

Step-by-step explanation:

Explanation

Given diagram the angles are (9 x + 6)°, (10 x + 7)°, (10 x - 1)°

we know that the sum of the angles of the triangle is equal to 180°

∠A +∠B +∠C = 180°

(9 x + 6)°+(10 x + 7)°+ (10 x - 1)° = 180°

On simplification , we get

29 x + 12 = 180

29 x = 180 -12

29 x = 168

x = 5.79 ≅ 5.8

Answer:

b

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

There are 8 slices in the spinny thingy.

There are 2 A's

[tex]\frac{1}{4}[/tex] = 25%

Answer:

The sequence has '+3' each time, so the next will be 10

Step-by-step explanation:

it is 10 cuz it goes from -5 adding 3

Answer:

please give more clarification

Answer:

Walk: 240

Ride 160

Car 100

Rest 300

Step-by-step explanation:

Walk:

30%

.30 * 800 = 240

Ride

20%

.20 * 800 =160

Car

12.5%

.125 * 800 =100

Rest

100-30-20-12.5 =37.5

.375 * 800 = 300

Answer:

Step-by-step explanation:

Hello,

This question requires us to convert numbers from standard form to scientific form. This can easily be done using a calculator or just writing the number down then put a decimal point after the first digit and count the rest which would be raised to the power of that number.

Budget = 69.1 billion

Converting this to scientific form = 6.91×10¹⁰

Population = 11.67 million

Converting this to scientific form = 1.167×10⁷

Budget per capita refers to budget allocated to each individual in the population.

Budget per capita is used to compare economic indices or indicators of various countries with different population sizes.

Budget per capita = budget / total population

Budget per capita = 6.91×10¹⁰ / 1.169×⁷

Budget per capita = 5911.03

What this implies is that for each individual living in the state of Ohio, the amount budgeted for that particular period (mostly in a given year) is 5911.03

Answer:

(x-4)^2 + (y-3)^2 =8

Step-by-step explanation:

The midpoint of the diameter is (6+2)/2= 4, (5+1)/2 = 3

(4,3)

The radius is the distance from the midpoint to an endpoint

This is 2sqrt(8)

So the equation is

(x-4)^2 + (y-3)^2 =8

Answer:

-1/2

Because, for every one square, the line goes down by 1/2.

Answer:

- 0.5

Step-by-step explanation:

To find the gradient of a line,

divide the value of decrease by the value across.

So, count across from the extreme left toll the extreme right = 13

Where you completed in the extreme right, you have to count down till you reach the other end of the line = 6.5

Now, you divide: 6.5 divided by 13 = 0.5

Since we counted down, it is negative = -0.5

Please mark brainiest

Answer:

a = -6 and b = 3√2

Step-by-step explanation:

Given the complex solution below;

x = (-24±√-288)/4

Re writing in the standard format a,+bi

x =( -24±√144×√2×√-1)/4

In complex notation, i = √-1

x = (-24±√144×√2×i)/4

x = ( -24±12×√2i)/4

x = -24/4±12√2i/4

x = -6±3√2i

Comparing the resulting complex number with a+bi

a = -6 and b = 3√2

Answer:

true

Step-by-step explanation:

11a - 2a

Factor out a

a(11-2)

a *9

9a

Answer:

9a is equivalent to 11a - 2a because 11a-2a=9a

Step-by-step explanation:

Answer:

576π in² and 1,809 in².

Step-by-step explanation:

To find the answer, the formula for the area of a circle, or A = πr², will need to be used.

In this question, we are only given the diameter. Simply divide by 2 to calculate the radius:

48/2 = 24 inches.

Now, plugging this into the equation for the Area of a Circle, gets us:

A = π24²

A = 576π or 1808.64 in².

Looking at the answer choices, we can choose 576π in² and 1,809 in² (as 1808.64 ≈1809)

Answer:

Isosceles trapezoid

Step-by-step explanation:

The figure will look like one large triangle on the outside and four smaller triangles on the inside. you are only concerned with the inside triangle that is pointing to the line FH. Since XY and FH are parallel and the distance between FX and YH are equivalent (the midpoints of each side should be the same for all three sides of the larger triangle) the shape FXYH is an isosceles trapezoid.

Answer:

trapezoid

Step-by-step explanation:

Answer:

vertex = (4, 5 )

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = 3(x - 4)² + 5 ← is in vertex form

with vertex = (4, 5 )