A caterer prepares three times as many pizzas as she usually prepares for a large party.The caterer usually prepares 5 pizzas. The caterer also estimates that each party guest will eat 1/3 of a pizza. Write an expression that represents this situation. How many party guests will the pizzas serve?

Answers

Answer 1
Answer:

Answer: There are  45 party guests who will be served pizzas.

Step-by-step explanation:

Since we have given that

Number of pizzas usually prepare by the caterer = 5

Part of pizza will eat by each party guest is given by

(1)/(3)

As we have given that a caterer prepares 3 times as many pizzas as she usually prepares for a large party,

So, it becomes

\text{Number of pizzas prepare by carterer this time}=5* 3=15\n

Let the number of party guests be x

According to question, it becomes,

Number of party guests will get the pizza serve is given by

(1)/(3)* x=15\n\nx=15* 3\n\nx=45

Hence, there are  45 party guests who will be served pizzas.

Answer 2
Answer: 3 x 5 pizzas = 15 pizzas
1/3 of pizzas  x  people  =  15 pizzas
people  = 15 pizzas / (1/3)  =  45

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What is 10% of 400.00

Answers

If you want to evaluate whatis 10 percent of 400, youcan do this using the following few steps:

10% * 400 = 10/100 * 400 = 0.1 * 400 = 40

10% of 400 is 40.
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10% = 10/100 = 0.1

400 x 0.1 = 40

Your answer is 40.

If 3x+2y =12 and xy=6, then find the value of 9x^(2) + 4y^(2)

Answers

xy=6
x=6/y......1
3x+2y=12
from1
3*(6/y)+2y=12
{after solving}2y^2-12y+18=0
y^2-6y+9=0      {taking y common}
y^2-3y-3y+9=0
y(y-3)-3(y-3)=0
y=3,3............2
putting 2 in 1
x=2.........3

9x^2+4y^2=
from 2 and 3
9*4+4*9=36+36=72




3x+2y=12\n (3x+2y)^2=144\n 9x^2+12xy+4y^2=144\n\n 9x^2+4y^2=144-12xy\n 9x^2+4y^2=144-12\cdot6\n 9x^2+4y^2=144-72\n \boxed{9x^2+4y^2=72}

What's the distance around a waste basket

Answers

If it is cylindrical, the circumference is the diameter x pi.  If it is rectangular, it is the length of the sides added together.

there are 13 animals in a barn. some are ducks and some are pigs. there are 40 legs in all. how many of each animal are there?

Answers

Let X be chickens
Let Y be pigs,
then x+y=13
the animals have 2x+4y legs,
 so 2x+4y=40
The system of the equations
[X+y=13
[2x+4y=40
Divide the second equation by 2
[x+y=13
[x+2y=20
subtract the first equation from the second one
y=20-13
y-7 pigs
substitute y=7 into the first equation
x+7=13
x=13-7
x=6 chickens

One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which tank is filling faster? Why?

Answers

Compare unit rates. The first one is filling at the rate of (5/8 gal) / (42 minutes) = 0.01488 gal/min (rounded). The second one fills at the rate of (5/9 gal) / (40 min) = 0.0139 gal/min (rounded). The first unit rate is greater than the second one. The first one is taking on fluid faster, but we can't say anything about "filling", because we don't know how much each tank holds, or how much may have already been in one or the other before all of this filling and running and pouring started .... I gotta go.
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I HOPE THIS HELPS!!!

(4 marks)5. Solve the following equations:
a) x+5 = 7
b) 2x - 8 = 20
c) 4x - 6x = 200
d) x+1= 5
3

Answers

a) x + 5 = 7

x + 5 - 5 = 7 - 5 (Subtract 5 from both sides)

x = 2

b) 2x - 8 = 20

2x - 8 + 8 = 20 + 8 (Add 8 to each side)

2x = 28

2x/2 = 28/2 (Divide each side by 2)

x = 14

c) 4x - 6x = 200

-2x = 200

-2x/-2 = 200/-2 (Divide each side by -2)

x = -100 (Note that a negative number divided by a negative number is positive, whereas a positive number divided by a negative number is negative)

d) x + 1 = 5

x + 1 - 1 = 5 - 1 (Subtract 1 from each side)

x = 4

I think:
A) x=7-5
X= 2

B) 2x=20+8
2x= 28
X= 28/2
X= 14


C) -2x= 200
X= 200/-2
C= -100

D) x=5-1
X=4