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:

The one that says: One solution: (-1,1)

Step-by-step explanation:

y=2x-1

3=-1/3x+4/3

Answer:

The answer is A. Bianca had $8.

Step-by-step explanation:

I really hope this helps.

Question

Which expression is equivalent to [tex]\frac{4mn}{m^{-2}n^6}[/tex]. Assuming [tex]m \neq 0; n\neq 0[/tex]

Answer:

[tex]\frac{4m^3}{n^5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4mn}{m^{-2}n^6}[/tex]

Required:

Simplify

To simplify this, we start by splitting each individual function

[tex]\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}[/tex]

From laws of indices

[tex]\frac{a^x}{a^y} = a^{x-y}[/tex]

SO, the above expression can also be expressed the same way

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}[/tex]

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1+2)} * n^{1-6}[/tex]

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * n^{-5}[/tex]

From laws of indices,

[tex]a^{-x} = \frac{1}{a^x}[/tex]

So,

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * \frac{1}{n^5}[/tex]

[tex]\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}[/tex]

Hence, [tex]\frac{4mn}{m^{-2}n^6}[/tex] is equivalent to [tex]\frac{4m^3}{n^5}[/tex]

Answer:

A

Step-by-step explanation:EDGE (not sure if im right let me know)

Answer:

Ahhh, vertical angles, thank goodness for these, hahaha!

According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.

Knowing this, you have to set each equation equal to each other in order to solke this one!

Let's do it!

6x + 18 = x + 93

STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.

5x + 18 = 93

STEP 2: Get X alone by subtracting 18 from both sides.

5x = 75

STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.

FINAL ANSWER: x = 15

NOTE: X is B.

Answer:

For whom ever has this question

B=108    x=15

Answer:

120*60=7200

(sorry if i gave u a answer that's not up there or if i get this wrong for you)

Answer:

answer is B

Step-by-step explanation:

Volume of the sphere is 2.304[tex]\pi[/tex] unit³ or 7234.56 unit³.

A sphere is a three dimensional solid shape. It is a set of points that are all at the same distance r from a common point. The distance r is the radius and the common point is the centre of the sphere.

Here,

The radius of the sphere is given by,

r = 12 units

The equation for volume of a sphere with radius r is given by,

V = 4/3 [tex]\pi[/tex]r³

So, the volume of the sphere is,

V = 4/3 x [tex]\pi[/tex] x 12³

V = 2.304 [tex]\pi[/tex]

V = 7234.56 unit³

Hence,

Volume of the sphere is 2.304[tex]\pi[/tex] unit³ or 7234.56 unit³.

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Answer:

$5 per hour.

Step-by-step explanation:

$15 per 3 hours.

[tex]15/3=5[/tex]

[tex]3/3=1[/tex]

$5 per 1 hour.

Answer:

i) Number of people in club = 12

ii) 96 ounces of fruit punch for 12people

iii) 24 ounces of cheese for 12 people

iv) Priya's budget for poetry club meeting in dollars = $7.87

Step-by-step explanation:

We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.

Number of people in the club = 12

8 ounces of fruit punch per person

For 12 people = 12×8 = 96 ounces of fruit punch

2 ounces of cheese per person

For 12 people = 12×2 = 24 ounces of cheese

A package of cheese = 16 ounces

The costs for 1package = $3.99

The costs for 16 ounces of cheese = $3.99

The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985

The cost for 24 ounces of cheese = $5.99

One-gallon jug of fruit punch = 128 ounces

The cost of One-gallon jug of fruit punch = $2.50

The costs of 128 ounces of fruit punch = $2.50

The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875

The costs for 96 ounces of fruit punch = $1.88

Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87

Cost per item for x number of people:

y = x(2.5/128) + x (3.99/16)

y = x(0.0195) + x(0.2494)

Cost equation for Priya's budget:

y = 96x(2.5/128) + 24x (3.99/16)

y = 96x(0.0195) + 24x(0.2494)

Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12

Answer:

Step-by-step explanation:

the equation is y=mx+b

the b part is the y-intercept

so in your equation... the y=intercept would be 7/6

Answer:

graph c

y= 3/2 x² +4x-2 would be graphed on the left side of the graph and the vertex would be just a little more than -4

___________________________

Hey!!

Solution

4a+6=12-2a

or,4a+2a=12-6

or,6a=6

or,a=6/6

a=1

The value of a is 1.

hope it helps...

Good luck on your assignment

_________________________

value of 6a = 6* 1 = 6

In a linear equation coefficients can be positive or negative values and in which the highest power of the variable is always 1 .

according to question the linear equation given is :

4a + 6 = 12 - 2a

find = 6a ?

4a + 6 = 12 - 2a

6a = 12 - 6

6a = 6

a = 1

since , substituting value of a

6a = 6* 1 = 6

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Answer:

Step-by-step explanation:

If the two cone are similar then the heights are the same

let us find the height of the bigger cone

[tex]volume of cone= \frac{1}{3} \pi r^2h[/tex]

For the bigger cone

r= 3cm

v= 66cm^3

[tex]66=\frac{1}{3}*3.142*3^2*h\\ 66=\frac{28.278}{3} *h\\h*28.278=198\\h=\frac{198}{28.278} =7cm[/tex]

For the smaller cone

r=2cm

v=?

h=7cm

[tex]v=\frac{1}{3}*3.142*2^2*7\\\v=\frac{87.976}{3} \\\\\v=29.30cm^3[/tex]

Answer:

19.6

Step-by-step explanation:

[tex]66=(\frac{3}{2} )^{3} =\frac{27}{8}[/tex]

[tex]\frac{66 x8}{27} = 19.5555555556=19.6[/tex]

[tex]x=[/tex] · [tex]( multiplication symbol )[/tex]

Answer:

46.8 kg

Step-by-step explanation:

78 * 0.6 = 46.8

Answer:

The answer for this question is (-3.5,0.5)

Answer:

The whole number between 2 is {0,1,2}

Answer:

V=56.52

Step-by-step explanation:

v=1/3(3.14)( r^2) (h)

V=1/3(3.14) (9)(6)

V=56.52

Answer:

The correct answer is 18π cubic inches

Step-by-step explanation:

I just took the test and I got the answer correct, I hope this will help you! :)

Answer:

The answer is "Option C".

Step-by-step explanation:

In the given question attachment of the table is missing which can be defined as follows:

[tex]\left\begin{array}{cc}\bold{x} &\bold{f(x)}\\0 & 6 \\2 & 7\\4 & 0\\7 & 5 \end{array}\right[/tex]

In given table a method f(x) values corresponding to different values of x.  

We needed to try f(0) value  that is in this method, we have to calculate the f(x) value if x=0  

As we've seen from the table the f(x) value at x=0 is 6  

That's why the correct choice is option C that is 6.

Answer:

The answer would be C

Step-by-step explanation:

I just took the test !!

Answer:

(4+√142)/(3) or x=(4-√142) /3

Step-by-step explanation:

(4+√142)/(3) or x=4-√142 /3

Answer:

Both conclusions are correct

Step-by-step explanation:

Ivan: The product of an even number of negative fractions is always positive.

When even numbers of same negative fractions are multiplied together, the product is positive.

For instance: -1 × -1

Since the total numbers to be multiplied are even (two -1), the product becomes +1

Ivan's conclusion is correct.

Polina: The product of an odd number of negative fractions is always negative.

When odd numbers of same negative fractions are multiplied together, the product is negative.

For instance: -1 × -1 × -1 × -1 ×-1

Since the total numbers to be multiplied are odd (five -1), the product becomes -1

(-1 × -1) × (-1 × -1) ×-1

= +1 × +1 × -1

The multiplication of same sign gives positive value while the multiplication of two different signs gives a negative value

= +1 × -1

= -1

Polina's conclusion is correct

Both are correct.

Answer:

both of them

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Divide the total price by how many ounces of lemonade to find the unit price.

The unit price in dollars per ounce will be;

⇒ 0.8 dollar per ounce.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Jenny sells 49.5 ounces of lemonade for a total of $39.60.

Now,

Since, Jenny sells 49.5 ounces of lemonade for a total of $39.60.

Hence, The unit price = 39.60 / 49.5 dollars per ounce.

                                  = 0.8 dollar per ounce.

Thus, The unit price in dollars per ounce will be;

⇒ 0.8 dollar per ounce.

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Answer:

       -7 ± √6

x = ----------------

              2

Step-by-step explanation:

You have several options here.  One would be "completing the square," and another would be "quadratic formula."

Here the coefficients of this quadratic are a = 1, b = 7 and c = 2.

The discriminant is therefore b^2 - 4(a)(c), or 7^2 - 4(1)(2) = 6.

The roots are thus:

       -7 ± √6

x = ----------------

              2

Answer:

5(5x + 3)

Step-by-step explanation:

Given

25x + 15 ← factor out the common factor 5 from each term

= 5(5x + 3) ← in factored form

Answer:

pentegon

Step-by-step explanation:

The certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

We have coordinates of a polygon, the coordinate plane:

points: (1, 1), (1, 8), (4, 7), and (4, 3)

After, connecting the points to each other.

We will see, after joining the points, the polygon will be a trapezoid.

Thus, the certain polygon has its vertices at the following points: (1, 1), (1, 8), (4, 7), and (4, 3) is a trapezoid option (C) is correct.

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Answer:

It is b

Step-by-step explanation:

Hope it helps

Answer: -4

Step-by-step explanation:

Do -6 x 2 to get -12, then divide by 3 to get -4

Thats assuming this is a fraction and not an actual division sign

Answer:

it is given , angle 2 , angle 3 , converse alternate exterior angles theorem

Step-by-step explanation:

We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because  it is given . We see that angle 2 is congruent to  angle 3  by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the converse alternate exterior angles theorem .

Answer:

✔ it is given

✔ angle 2

✔ angle 3

✔ converse alternate exterior angles theorem

Answer:

£216

Step-by-step explanation:

Total number of people:

Total payment:

Teacher earns in total per given week:

Answer:

y= -2 x= 3

y=  3 x= -7

Step-by-step explanation: