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frez [133]
3 years ago
13

Six friends went to a restaurant and agreed to share the bill equally. However, two people forgot their wallets so the other fou

r friends' portions of the bill went up by $7 each. How many dollars was the total bill?
Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:

The total bill was $84

Step-by-step explanation:

Ok so we know a few things, we know that the total cost of the bill is divisible by both 6 and 4, and we know that if we call the total cost of the bill x and the amount each person would pay if it was divided for 6 people y we can write these equations:

\frac{x}{6}=y

\frac{x}{4}=y+7

Now we can substitute the first equation into the second and solve for x

\frac{x}{4}=\frac{x}{6}+7\\\frac{x}{4}-\frac{x}{6}=7\\\frac{x}{12}=7\\x=7*12=84

Therefore, the total bill was $84

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The temple at the top of pyramid is approximately 24 meters above the ground, and there are 91 steps leading up the temple. How
slamgirl [31]

Answer:

13.187 meters

Step-by-step explanation:

Basically, there are 24 meters for every 91 steps: \frac{24}{91}

There are x meters for every 50 steps: \frac{x}{50}

\frac{24}{91} =\frac{x}{50}

Cross multiply

91x = 1200

Divide both sides by 91 to isolate the variable, x

91x/91 = 1200/91

x = 13.186813

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3 years ago
Someone plz explain!
ryzh [129]

Answer:

18° and 72°

Step-by-step explanation:

Complimentary angles form 90°

We have an angle (x) 4 times larger than the other (y).

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3 years ago
Solve equation. <br><br> X^2-4x-12 = 0
ser-zykov [4K]

Answer:

Step-by-step explanation:

x2 - 4x - 12 = 0

x2 - 6x + 2x - 12= 0

x(x - 6) + 2(x - 6) = 0

x + 2 = 0

x = - 2

x - 6 = 0

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5 0
3 years ago
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Y=-5x+30

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Solve for y 8x-7y=23 (fill all of the boxes)
bezimeni [28]

Answer:

i think this is the correct answer

Step-by-step explanation:

Simplifying

8x + -7y = 23

Solving

8x + -7y = 23

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7y' to each side of the equation.

8x + -7y + 7y = 23 + 7y

Combine like terms: -7y + 7y = 0

8x + 0 = 23 + 7y

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Divide each side by '8'.

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Simplifying

x = 2.875 + 0.875y

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2 years ago
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