******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.

Answer:

$33.92 ($1.92 in tax)

Step-by-step explanation:

% values are 1/100ths. 32.00/100=0.32. 0.32(6) = 1.92.

 $32.00

+   $1.92

=$33.92 total.

Answer:

In some circumstances these displays may allow the female to observe the performance of males and to evaluate them as potential mates. To elicit displays from a group of males, a female Mallard may swim with her neck outstretched and her head just above the water

Step-by-step explanation:

hope this helps

Answer:

right

Step-by-step explanation:

tell me if i was wrong

Answer: 168

Step-by-step explanation: just multiply base times length times height

Answer:

The interest rate was 5.24%.

Step-by-step explanation:

You can use the following formula to calculate the interest rate:

i=n*((A/P)^1/nt-1), where:

i= interest rate

n= number of times interest is compounded= 4

A=value of investment= 3425

P= principal= 2500

t=time= 6

Now, you can replace the values on the formula:

i=4*((3425/2500)^1/4*6-1)

i=4*(1.37^1/24-1)

i=4*0.0131

i=0.0524

According to this, the answer is that the interest rate was 5.24%.

Answer:

The magnitude of the angular velocity is 125.66 rad / s and the period is 0.05 seconds.

Step-by-step explanation:

The computation of the magnitude and the period is given below:

First we determine the angular velocity that transforming the revolutions per minute,  

So,

ω = (1200 rev / min) ×  (2π rad / rev) × (1 min / 60s)

ω = 125.66 rad / s

Now, the period is  

ω = 2π ÷ T

T = 2π ÷ (125.66 rad / s)

T = 0.05 s

Hence,  the angular velocity has a value of 125.66 rad / s and the period is 0.05 seconds.

Answer:

I’m not sure but I. Think it’s a I guess

Step-by-step explanation:

Answer:

D=360  M=288 V=648

Step-by-step explanation:

Answer:

7 times

Step-by-step explanation:

To answer this question :

1. the volume of the rectangular prism has to b determined

2. the volume of the cannister has to be determined

3. divide the volume of the rectangular prism by  the volume of the cannister

Volume of the rectangular prism = Width X Height X Length = 6 x 5 x 3 = 90ft³

Volume of a cylinder = πr²h

where

h = height

π =  3.14

Diameter = 2r

radius = 2/2 = 1 feet

3.14 x 1 x 4 = 12.56 feet

90 / 12.56 = 7.2 times

Approximating to the nearest whole number gives 7 times

Answer:

55/100 is equivalent to 55% but the fraction in lower terms or simplified is 11/20 hope i helped!

Step-by-step explanation:

Answer:

multiplication

Step-by-step explanation:

The answer is A.  

Use Desmos Matrix Calculator. Enter you Matrix then the equation.

Answer: u find 5/6 of 30 cookies. of means to multiply do 5/6*30=  

Step-by-step explanation:

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

plz mark me as brainliest

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

The cost of one ticket is $14.75

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

please mark as brainliest

Answer:

what grade is this?

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

In a pyramid, there is only one base that touches the ground.

However, in a prism, there are two bases, two of the same ends.

The front of the name of the shape also hints:

If it's an octagonal prism, there are two octagon bases.

If it's a hexagonal pyramid, there is one hexagon base.

Answer:

x = 10, y ≈ 11.2

Step-by-step explanation:

Hi there,

We can find the length x first since we are given the lengths of the other two sides of the bottom right triangle. In order to find the length of x, it is important to know the Pythagorean Theorem and the fact that x is the hypotenuse.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]   ← Pythagorean Theorem

To find x:

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]c^{2}[/tex]

100 = [tex]c^{2}[/tex]

c = 10

Therefore, the value of x is 10.

To find y:

We now know the length of two sides of the upper right triangle. The value of y can be found by using the theorem again.

[tex]a^{2}[/tex] + [tex]10^{2}[/tex] = [tex]15^{2}[/tex]

[tex]a^{2}[/tex]  + 100 = 225

[tex]a^{2}[/tex] = 125

a = [tex]\sqrt{125}[/tex]

a = 11.2 when rounded to the nearest tenth.

Therefore, the value of y is approximately 11.2.

Hope this explanation is useful. Cheers.

Answer:

C

Step-by-step explanation:

Because 0 lbs of sugar is required to make 0 muffins

I hope this is right

Answer:

-1.4

Step-by-step explanation:

5x+7=0

5x=-7

x= -1.4

Answer:

1.4

Step-by-step explanation:

5x + 7

x +[tex]\frac{7}{5}[/tex]

x = 1.4

Answer:

ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost

Step-by-step explanation:

Answer:

The answer is 3 events.

Step-by-step explanation:

I say this because the initial fee is $19, and its $4 per event so 4x3=$12 and  $19 + $12 = $31 .

Answer:

k = -2

Step-by-step explanation:

firstly, let us examine the kind of transformation that we have

We have a transformation from (3,2) to (3,0) and (-3,0) to (-3,-2)

So, we are actually subtracting 2 from the values of f(x) to get the values of g(x)

This shows a vertical translation to the tune of 2 units in the downward direction

So, the correct answer here is that -2 is being subtracted from f(x) to give g(x)

Accordingly, the value of k in the question is -2

Step-by-step explanation:

7+2x-2 = 4x -3

5= 2x -3

2x = 8

x = 4

Answer:

saw this question on egde its b

Answer:

11 boxes of candles

Step-by-step explanation:

first, set it up as an equation. let x stand for the amount of boxes she needs.

100=8x+15

next, subtract 15 from both sides of the equation.

100-15=8x+15-15

85=8x

then, you need to get x by itself. to do this, divide 8 from both sides of the equation.

85/8=8x/8

x=10.62, but you can't buy half a box, so you have to round up.

so, she needs to buy 11 boxes of candles.

Answer:

Options B and E.

Step-by-step explanation:

We want to see for which systems the point (-3, 2) is a solution (a solution of a system means that both equations intersect in that point).

The point (-3, 2) is a solution of the system only if this point belongs to both linear equations in the system.

Then for each system, we need to replace x by -3 and y by 2 in both equations and see if the equality is true or not.

A)

6x - y = 15

-3x + 4y = -18

In the first equation we have:

6*(-3) - (2) = 15

-18 - 2 = 15

-20 = 15

This is false, so we can discard option A.

B)

2x + y = -4

3x + 2y = -5

In the first equation we have:

2*(-3) + 2 = -4

-6 + 2 = -4

-4 = - 4  

This is true, now let's look at the other equation.

3*(-3) + 2*(2) = -5

-9 + 4 = -5

-5 = - 5

This is also true, then the point (-3, 2) is a solution for both equations, then the point (-3, 2) is a solution for the system.

C)

x + 8y = 19

4x - 5y = 2

In the first equation we have:

(-3) + 8*(2) = 19

-3 + 16 = 19

13 = 19

This is false, then we can discard option C.

D)

8x + y = 22

-2x - 5y=4

In the first option we have:

8*(-3) + 2 = 22

-24 + 2 = 22

-22 = 22

This is false, so we can discard option D.

E)

5x - y = -17

x + 4y = 5

In the first option we have:

5*(-3) - (2) = -17

-15 - 2 = -17

-17 = -17

This is true, now let's look at the other equation:

(-3) + 4*(2) = 5

-3 + 8 = 5

5 = 5

This is also true, then the point (-3, 2) is a solution for both equations in the system, which means that the point (-3, 2) is a solution for the system.

Then the correct options are B and E.

Answer: A is 5 B is 6 C is 3

D is 7

Step-by-step explanation: I hope u get ur answer- and if I’m wrong plz tell me I took this lesson 2 days ago-

Answer:

Option:D

According to question,

Mass = m/3

Volume = 5*v

Density = mass/volume

=1/15*(m/v)

So its option D

Answer:

63.5°

Step-by-step explanation:

Reference angle = x°

Opposite = 17

Hypotenuse = 19

Apply the trigonometric function, SOH:

[tex] sin(x) = \frac{Opp}{Hyp} [/tex]

Substitute

[tex] sin(x) = \frac{17}{19} [/tex]

[tex] x = sin^{-1}(\frac{17}{19}) [/tex]

x = 63.474648° ≈ 63.5° (nearest tenth)

Answer:

The anwser should be 2625

Step-by-step explanation:

35% of 15 is 5.25

5.25 multiple by 500 is 2,625