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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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Gala2k [10]

Answer: Yes its correct

6 0
1 year ago
Write the equation of a line through points (5,5) and (1, 0) in point-slope form?
algol [13]

Answer:

Step-by-step explanation:

I’m assuming that the equation is to be written in slope intercept form (y=mx+b), so for this, you want to find the slope and y-intercept. To find the slope, use the equation in picture 1.

0 - 5 = -5

1 - 5 = -4

-5 / -4 = 1.25

So m, or the slope, is equal to 1.25.

To find the y-intercept, make a table like the second picture. Choose one of the ordered pairs as the given. I used 1,0.

0,?

1,0

Now find the change in x, which in this case, is 1. Then set up something like picture three.

1.25/1 = ?/1

?=1.25

Now backtrack to get:

0, -1.25

1, 0

Now we know what is y when x is 0, we know the y intercept and can make the equation:

y = 1.25x - 1.25

5 0
2 years ago
Six less than the quotient of a number and 4 is 15
sergey [27]
-6 ÷ 4x = 15, six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15
4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST The angle of elevation from Ben to the top of a telephone pole is 62 degrees. If Ben is standing 8 feet fro
MrRissso [65]

Answer: The height of the telephone pole = $15.046

Step-by-step explanation:

Given: Angle of elevation= 62 degrees.

Distance of Ben from the base of the pole = 8 feet

According to trigonometry, we have

\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}

i.e.

\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046

Hence, The height of the telephone pole = $15.046

4 0
2 years ago
Cuál será la razón entre la cantidad de lejía y la cantidad de agua, si la taza contiene 200 ml (mililitros) y cada litro es 100
tatyana61 [14]

Answer:

Ratio of bleach and water = 1:4

Relación de lejía y agua = 1:4

Step-by-step explanation:

English Translation

What will be the ratio between the amount of bleach and the amount of water, if the filled, 1 L cup contains 200 ml (milliliters) of bleach and each liter is 1000 ml (milliliters)

The cup contains 1000 mL of liquid.

The cup contains 200 mL of bleach and given that the rest is water, there are (1000 - 200) mL of water in the cup.

Amount of bleach in cup = 200 mL

Amount of water in cup = 800 mL

Ratio of bleach to water = 200:800

divide by the least number

Ratio of bleach to water = 1:4

In Spanish/En español

La taza contiene 1000 ml de líquido. La taza contiene 200 ml de lejía y dado que el resto es agua, hay (1000 - 200) ml de agua en la taza.

Cantidad de lejía en taza = 200 ml

Cantidad de agua en taza = 800 ml

Relación de lejía a agua = 200:800

dividir por el menor número

Relación de lejía a agua = 1:4

Hope this Helps!!!

8 0
3 years ago
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