A rental hall charges a fee of $450 to rent the hall plus $15 per guest. The total cost c, of renting the hall for a party for g guest is given by the formula c 450+15g

Answers

Answer 1
Answer: c= 15g + 450

50 guests

c= 15(50) + 450

c= 750 + 450

c= $1200

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How does writing an equation help you solve a problem.
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The coordinates below represent two linear equations. How many solutions does this system of equations have?

Line 1
x y
–2 7
0 6

Line 2
x y
3 0
0 –3

A.


0


B.


exactly 1


C.


exactly 2


D.


infinitely many

Answers

find the equations of the lines in slope-intercept form which is y=mx+b where m=slope b=y intercept
the choices:
0 solutions: means the lines don't intercect at all, meaning same slope but different y intercept or they ar paralell
1 solution: lines intercect in 1 point
2 solutions: curvy line with a straight line thorugh middle
infinetly solutions: same line
 



to find slope you do
slope=(y1-y2)/(x1-x2)
first line is
(2,-7)
(0,6)
(x,y)
x1=2
y1=-7
x2=0
y2=6
subsitute
(-7-6)/(2-0)=-13/2
slope=-13/2
subsitute
y=-13/2x+b
subsitute one of the points
(0,6)
x=0
y=6
6=-13/2(0)+b
6=0+b
6=b
y=-13/2+6

now solve for the other equation


(3,0)
(0,-3)
x1=3
y1=0
x2=0
y2=-3
subsitute
(0-(-3))/(3-0)=(0+3)/(3)=3/3=1
y=1x+b
subsitute
(3,0)
x=3
y=0
0=1(3)+b
0=3+b
subtract 3
-3=b
y=x-3

we have the lines
y=-13/2x-6 and
y=x-3
solve for a common solution
y=x-3 and y=-13/2x-6 therefor
x-3=-13/2x-6
add 6 to both sides
x+3=-13/2x
multiply both sides by -2
-2x-6=13x
add 2x to both sides
-6=15x
divide both sides by 15
-2/5=x
subsitute
y=x-3
y=-2/5-3
y=-3 and 2/5 or -17/5
the solution is (-2/5, -17/5)
there is only one solution
the answer is B

Prime number definition

Answers


A prime number is a number that has no factors other than ' 1 ' and itself.

A number that has no other divisors besides one and itself. Also a number greater than one. 

What is 185% as a decimal and as a mixed number

Answers

185% is 1.85 as a decimal, and 1 17/20

Willa is building birdhouses. Each side of the birdhouse will need 9 nails. How many nails does Willa need for each birdhouse? There are 7 sides on the birdhouse. If Willa uses only 7 nails on each side, how will the total number of nails she uses change?

Answers

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Step-by-step explanation:

Sides of one birdhouse = 7

Nails used on each side = 9

Nails used on one birdhouse = No. of sides * Nails used for each side

Nails used on one birdhouse = 7*9 = 63 nails

If she uses 7 nails on each side, then the number of nails used on each birdhouse will be;

No. of nails = 7*7 = 49 nails

Difference = Old value - New value

Difference = 63-49 = 14

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Keywords: multiplication, subtraction

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WORTH 25 POINTS PLEASE HELP!!!a glass box shaped like a rectangular prism has a width 7 inches, length 9 inches, and height 12 inches. It's being shipped in a larger box with width 10 inches, length 10 inches, and height 15 inches. the space between the glass boz and the shipping box will be filled with styrofoam peanuts. how many cubic inches of space will contain styrofoam peanuts? show all work

Answers

The space contained by Styrofoam peanuts is 744 cubic inches.

What is prism?

In three-dimensional space, a prism is a polyhedron where two ends are similar.

Given:

A glass box shaped like a rectangular prism has a width of 7 inches, length 9 inches, and height 12 inches.

It's being shipped in a larger box with width 10 inches, length 10 inches, and height 15 inches.

The space between the glass box and the shipping box will be filled with styrofoam peanuts.

The space contained by Styrofoam peanuts,

= The volume of the shipping box - the volume of the glass box.

=(10 x 10 x 15) -  7 x 9 x 12

= 744 cubic inches.

Therefore, the contained space is 744 cubic inches.

To learn more about the prism;

brainly.com/question/12649592

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The average weight of the largest fish, the whale shark, is 50,000 pounds. How many tons is this?

Answers

1 ton = 2000 lbs
so we just need to divide 50,000 by 2000 and we have our answer
(50000)/(2000) = 25 tons