******WORTH 85 POINTS******WILL MARK BRAINLIEST*****PLEASE ANSWER ALL QUESTIONS****
A catering company is setting up tables for a big event that will host 360 people. When they set up the tables they need 2 forks for each

child and 5 forks for each adult. The company ordered a total of 1470 forks. Set up a system of equations involving the number of adults,

a, and the number of children, c, and solve to find out how many of each attended the event.



A) Create an equation to represent the breakdown of people attending this event (children and adults).

B) Create an equation to model the number of forks used at this event.

C) Solve the system you created and write down the number of Children and Adults that attended.

Answers

Answer 1

180 c

70 a

360 divided by 2 = 180 c

360 divided by 5 = 70 a


Related Questions

Circle M has a radius of length 5 inches. A tangent is drawn from exterior point Q to point N on circle M as shown. If QN= 11 inches, determine the measure of

Answers

Answer:

look at the box did you see it

Answer:

I hope you are wanting the measure of QM

QM = 12.08 in

Step-by-step explanation:

Because a tangent to a radius forms a 90° angle, use the Pythagorean theorem:

QM² = MN² + QN² = 5² + 11² = 25 + 121 = 146

QM = √146 = 12.08 in

A stage in the shape of a semi circle had a diameter of 42 ft. What is area of the stage? Use 22/7 for π. PLZ I NEED FAST TEST

Answers

A semi circle is half a full circle. Find the area of the full circle and divide it by 2.

Area of a circle = pi x r ^2

R is half the diameter

Area of full circle:

Area = 22/7 x 21^2

Area = 1386 sq. Ft

Area of stage = 1386/2 = 693 square feet

Answer:

3.14 x 42 x 42 = 5538.96ft

If your wondering why used 3.14 instead of 22/7 is because they are exactly the same just one is a whole number and the other is a fraction. I suggest you use 3.14 because its easier than 22/7.

Step-by-step explanation:

:))

Which of these expressions or phrases can be used to represent the model choose all the correct answers



Pls no BOT part ;(

Answers

Step-by-step explanation:

anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.

Use the information below to respond to numbers 5,6,7 and 8.
Celeste was selling meal tickets for the holiday program at her school. The cost of a dinner ticket is
$10. She is also selling dessert tickets for $6. She lost track of how many of each ticket she sold;
however, she remembered that she was given 100 tickets and she collected $900.
The system of equations shown can be used to represent this situation:
S x + y = 100
(10x + 6y=900
5. What does the variable x represent in the system of equations? *
1 point
O A. The number of dinner tickets sold.
O B. The number of dessert tickets sold.
O C. The number of dollars collected for dinner tickets.
D. The number of dollars collected for dessert tickets.
O Other:

Answers

X is next to the number 10, so x would be the number of dinner tickets sold.

Rewrite x + y = 100 to x = 100-y

Now replace that in the 2nd equation:

10(100-y) + 6y = 900

Simplify:

1000 -10y + 6y = 900

Combine like terms:

1000 -4y = 900

Subtract 1000 from both sides

-4y = -100

Divide both sides by-4

Y = 25

Replace y in the first equation and solve for x

X + 25 = 100

X = 75

A) 75 dinner tickets were sold

B) 25 dessert tickets were sold

C) 75 x 10 = $750

D) 25 x 6 = $150

the ravens scored 1 touchdown and an extra point . how many total points did they score

Answers

the ravens scored 7 points

please help!!No links

Answers

X=12 do you need an explanation?

Can yall help me need help ASAP​

Answers

Answer:

18+2x>_0

18/2 + 2x/2

x= 9

Step-by-step explanation:

first take the 2x to the other side which will automatically change from - to + and then divide both 18 and 2x by 2

A cube has a surface area of 6. What's the volume?

a 1

b 1/6

c 6

d 3/2

Answers

Answer:

Well all sides of a cube are congurent or equal and since the surface area is 6. We can develop a formula to find the missing variables.

Well since the surface area of a cube can be found by using 6a^2 where a is the side lengths.

So since 6a^2=6

Solve

a^2=1

a=1

SO each side is equivalent to 1

Now to find the volume just do LWH and you should get 1 as your answer or in this case (A)

Answer:

V = 1

Step-by-step explanation:

A=6a2

V=a3

Solving for V

V=6A3/2

36=6·63/2

36÷6 = 1

V = 1

On Wednesday 72% of the customers who bought gas at a gas station also bought a hot dog. There were 25 customers in all who bought gas.

Answers

Answer:

18 People bought hot dogs

Step-by-step explanation:

The question is not complete, but I’m assuming you need the number of people who bought hot dogs.

25 customers bought gas.

72% of them also bought a hot dog.

So thE number of customers who bought hot dogs are 72% of 25

=> 72/100 * 25

=> 0.72 * 25

= 18 people

If the simple interest on a sum of money invested at 3% per annum for 242 years is N123, find the
principal​

Answers

The principal is N16.94

Step-by-step explanation:

Simple Interest = (Principal × Rate × Time)/100

Principal = (Simple Interest × 100)/(Rate × Time)

Principal = (123 × 100)/(3 × 242)

Principal = 12300/726

Principal = 16.9421

Expand and Simplify: (x-5)(x+7)

Answers

distributive property
(x-5)(x+7)
=x^2+7x-5x-35
=x^2+2x-35

All statements of equality below are correct ? Need help!

Answers

Answer:

True

Step-by-step explanation:

√784/√4 = 28/2 = 14

Answer:

the answer is true

Step-by-step explanation:

because all are equal 14

Which of these is an example of due process?

a search without good reason

a prejudiced jury

a cruel punishment

a fair trial

Answers

Answer:

A fair trial.

Answer:

Step-by-step explanation: a search without good reason

the diameter of a billard ball is approximately 6 cm. what is its volume? round your answer to the nearest whole number

Answers

Answer:

The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.

A. 113 cm3

B. 903 cm3

C. 25 cm3

D. 38 cm3

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

6

centimeters

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

For this case we have that by definition, the volume of a sphere is given by:

Where:

r: It is the radius of the sphere

According to the data we have to:

Substituting we have:

The option that best fits is option B.

Answer:  v=113cm3

The option that best fits is option B.

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

Answer:

V ≈ 904 cm³

Step-by-step explanation:

Let r denotes radius

r = 6cm (given)

As it a sphere of radius 6cm,

Volume of a sphere,

V = 4/3 π r³

V = 4/3 (3.14) (6)³

V = 4/3 (3.14) x 216

V = 4 (3.14) x 72

V = 12.56 x 72

V = 904.32 cm³

Rounding off,

V ≈ 904 cm³

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

Answer:

113 cm

Step-by-step explanation:

If p p and q q vary inversely and p p is 14 when q q is 12, determine q q when p p is equal to 84.

Answers

Answer:

q = 2

Step-by-step explanation:

p α 1/q

p = k/q

Where, k = constant of proportionality

p = 14 ; q = 12

We can obtain the value of k

p = k/q

14 = k/12

k = 14 * 12

k = 168

p = 168/q

pq = 168

q = 168 / p

Value of q, when p = 84

q = 168 / 84

q = 2

What is the value of 2x2 when x = 1.5?



15.0


4.45


4.50


450

Answers

Answer: 4.50 look at the picture

Step-by-step explanation: Hope this help :D

Step-by-step 4.5 ....................

Savannah bought barn wood for $60 for 5 pieces. She spent $40 on materials to paint
and design the decorations. She sells each piece of wood for $25. What is her
profit/loss?

Answers

her profit per each wood is $5 so her total profit is $25

because
60 divided by 5 is 12, so each wood is 12 dollars
she spent 40 dollars on materials so 40 divided by 5 is 8, so she spent $20 on each piece of wood to paint it because 12(price of wood)+8(cost of materials per wood)= 20
and shes sells them for 25
so 25-20=5
5x5=25
so the answer is $25 profited

Cynthia has earned $1200. She wants to spend $300 and put the rest into a savings
account that earns 5% simple interest. Assuming she makes no additional deposits or
withdrawals what will be the value of Cynthia's account after 48 months?
A) $180
B)$240
C)$720
D)$1080

Answers

Answer:

Incomplete problem, read the step-by-step.

Step-by-step explanation:

$1200-$300=$900

5% of $900 is $45

You didn't say if the 5% is per month or per year, if you want more help, comment on this answer the per year/whatever/month and then I'll help you further into this word problem.

Hope this helped! :)

The numbers in the diagram below indicate the lengths of the sides of a triangle. Bernadette drew the following triangle and claims it is a right triangle.








State whether or not Bernadette is correct?

Answers

Answer:

It's not a right triangle, there isn't a right angle anywhere there.

Also, it's not applicable via pythagorean theorem

Step-by-step explanation:

Last month, Jerald bought 70 bags of candy for $8 each. How much did Jerald spend on bags of candy?

Answers

He spent 560. Just multiply 70 with 8

Pls help will give brainless

Answers

Answer:

56 trucks and 24 cars

Step-by-step explanation:

Multiply each by 8 to continue the linear relationship.

Answer:

The answer is C. 56 trucks and 24 cars

Step-by-step explanation:

24/3 = 8

8 x 7 = 56

(っ◔◡◔)っ ♥ Hope It Helps ♥

Help Pleaseee, i dont know how to find the period

Answers

Answer:

6 Pi

Step-by-step explanation:

The period is the length of the smallest interval that contains exactly one copy of the repeating pattern.

Will give brainliest. A square and a rectangle have the same perimeter. The square has a side length of 8x units. The rectangle has a length of (4x + 8) units and a width of 10 units. What will be the perimeter of both the rectangle and the square? ​

Answers

To get the perimeter of a square you take it’s side length times 4. To get the perimeter of a rectangle you take 2 times it’s length and 2 times it’s width and add the product together. So the formula is for square is 4L = P
The formula for rectangle is 2L + 2W = P
If you know the perimeter of a square and rectangle are the same you can set the equations equal to each other.
So 2L + 2W = 4L and since you know the side measurements. You sub them in.
2(4x + 8) + 2(10) = 4(8x) and then solve for x

X = 3/2

Factor the expression step by step

Answers

Let's factor this.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?

We need two numbers that...
Add together to get -7
Multiply together to get 10
Can you think of the two numbers?

Try -2 and -5:
-2+-5 = -7
-2*-5 = 10

Fill in the blanks in
(x+_)(x+_)
with -2 and -5 to get...
(x-2)(x-5)

Tim buys a car for $7,500 and sells it for a profit of $1,000. How much did he sell it for?

Answers

Well, just add 1,000 to 7,500. You then get the answer, 8,500. To check, 8,500-7,500= 1,000.

Un cilindru circular drept are raza bazei egală cu 27 , iar înălțimea cilindrului este egală cu 11 . (unitatea de măsură o alegi tu). De aflat aria totală și volumul cilindrului. VA ROG URGENT

Answers

Answer:

1) 6447,55 unități pătrate

2) 25192,43 unități cubice

Step-by-step explanation:

1) Suprafața totală a unui cilindru

Formula = 2πr (r + h)

r = 27 de unități

h = 11 unități

Suprafața totală = 2 × π × 27 × (27 + 11)

= 6446.54813 unități pătrate

Aproximativ = 6447,55 unități pătrate

2) Volumul cilindrului

Formula = πr²h

= π × 27² × 11

= 25192,43 unități cubice

Suppose you invest $4,600 into a savings account with a 8.25% annual interest rate
that compounds interest monthly. Use the TVM solver on your calculator to find the
future value of the account after ten years.

NEED ANSWER ASAP

Answers

Answer:

$10,467.06

Step-by-step explanation:

The computation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

here

rate of interest = 8.25% ÷ 12 = 0.6875%

And, the number of years is = 12 × 10 = 120

So, the future value is

= $4,600 × (1 + 0.6875%)^120

= $4,600 × 2.275448086

= $10,467.06

when a number is divided by 15, the quotient is 18 and the remainder is 5. what is the number?​

Answers

Answer:

The answer is 256

Step-by-step explanation:

You just have to get the divisor  

(

40

)

and multiply by the quotient  

(

6

)

, then add the remainder  

(

16

)

.

So we have:  

(

40.6

)

+

16

=

256

The number is 276.

Parts of a Division Problem -There are three main parts to a division problem: the dividend, the divisor, and the quotient. The dividend is the number that will be divided. The divisor is the number of “people” that the number is being divided among. The quotient is the answer.

Let us assume that the number is N.

So according to the question we can say that

N= 15(18) +1

because dividend= divisor x (quotient) + remainder and quotient is odd.

 So now, N (on expanding) =15 × 18 + 5

                                              = 275

So if N is divided by 15 the remainder would be  275+1=276.

Learn more about Parts of a Division Problem brainly.com/question/15305334 here.

#SPJ2

Will mark brainliest

Answers

Answer:

I think it’s the last one 2x + 7 sorry if I’m wrong!

Please help with this problem.

Answers

Answer:

d = 28

r = 14

r² = 196

C = 87.92

Step-by-step explanation:

Given:

r = 14

To find diameter:

d = 2r

d = 2(14)

d = 28

To find r²:

14²

196

Circumference:

C = 2πr

C = 2(3.14)(14)

C = 87.92

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