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kakasveta [241]
3 years ago
13

A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cos

t of the banquet hall is $1, 140. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.
Mathematics
1 answer:
AnnZ [28]3 years ago
5 0

Step-by-step explanation:

1.)20x + 100 = 1440

-Let the number of couples be x. So, the total amount paid by all the couple’s are $20x. School paid $100 as security, so the total amount paid is

$ (20x + 100)

2.) 20x = 1440 - 100 ⇒ 20x = 1040

X = 52

3. ) The security money  is $100, so the couples paid $1440- 100 = $1040 in total. As the couples paid $ 20 each than- \frac{1040}{20} = 52

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Elza [17]
Lanzetta Elem. raised 5358....round to 5,000
Lantana Mid. Sch raised 2834....round to 3,000
Atlanta High Sch. raised 4132...round to 4,000

they need 14,000...they have (5,000 + 3,000 + 4,000) = 12,000....so they will need (14,000 - 12,000) = 2,000 more....keep in mind, these are estimates...not exact answers

3 0
3 years ago
In circle D, if the measure of arc Gec is 230 , what is the measure of minor arc GFC
BabaBlast [244]

Answer:

The measure of minor arc GFC is 130\°

Step-by-step explanation:

we know that

In a circle the sum of the major arc plus the minor arc is equal to 360 degrees

see the attached figure to better understand the problem

Let

x------> the major arc GEC

y-----> the minor arc GFC

so

x+y=360\°

we have

x=230\°

substitute in the equation and solve for y

230\°+y=360\°

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8 0
3 years ago
Small squares with sides 4 cm were cut from each of the corners of a square piece of cardboard. then it was folded into an open-
DENIUS [597]
Suppose the length of the card board was x cm by x cm
After squares of 4cm was cut from the corner, the dimension for the box will be:
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V=4×(x-8)×(x-8)=144
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solving the quadratic equation we get:
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7 0
3 years ago
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Colt1911 [192]
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3 years ago
What is the answer to 11x+4+51+2x+8=180
Digiron [165]
Hi,

Work:

Equation;

11x + 4 + 51 + 2x + 8 = 180

Collect like terms and calculate sum of positive numbers.

13x + 63 = 180

Move constant +63 to the right side and change its sign.

13x = 180 - 63

Subtract numbers.

13x = 117

Divide both sides of equation with 13.

x = 9


Hope this helps.
r3t40
7 0
3 years ago
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