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Mnenie [13.5K]
3 years ago
15

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to spli

t the bill and tip evenly among themselves.
Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.
Mathematics
2 answers:
qaws [65]3 years ago
6 0

Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

 

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Step-by-step explanation:

ANEK [815]3 years ago
5 0

Answer:

A and C

Step-by-step explanation:

got it right on ed

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Express 9 2/3 out of 100 as a percent .
creativ13 [48]

Answer:

9 2/3% (or 9.66666666666%)

Step-by-step explanation:

A percent is a ratio out of 100, as this answer is out of 100, the percent is just 9 2/3%.

4 0
2 years ago
LMNO is a parallelogram. If NM = x + 33 and OL = 4x + 9, find the value of x and then find NM and OL.
anyanavicka [17]
Because these are on opposite sides of the parallelogram, x + 33 = 4x + 9.

This gives you x = 8; OL = 41, NM = 41. 
7 0
3 years ago
If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..
Ksju [112]

<u>Answer:</u>

  • Slope = 27/11
  • AB = 29.15 u

<u>Step-by-step explanation:</u>

<u>Given :- </u>

  • Two points are given to us .
  • The points are A(7,15) and B(18,42)

<u>To Find</u> :-

  • The slope of the line .
  • The length of line AB .

We can find the slope of the line passing through the points ( x_1,y_1) and ( x_2,y_2)as ,

\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}

  • Plug in the respective values ,

\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}

<u>Hence the slope of the line is 27/11 .</u>

\rule{200}2

<u>Finding the length of AB :-</u>

  • We can find the distance between them by using the Distance Formula .

\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 }  \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }

<u>Hence the length of AB is 29.15 units .</u>

5 0
3 years ago
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lora16 [44]

Answer:

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Step-by-step explanation:

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The ration of radius of large cylinder (R) to that of the smaller cylinder (r) is

\frac{18}{12} \\\frac{3}{2}

Like wise the ration of height of large cylinder (H) to that of the smaller cylinder (h) is

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The scale factor is \frac{3}{2}

5 0
3 years ago
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defon

Answer:

The Answer is 1 inch represents 11 feet.

Step-by-step explanation:

The original measurement, or the measurement of the middle school, is 363 feet. The measurement of the drawing is 33. To get the answer, you take 363 and divide it by 33 to get the scale factor of 11. This means that for each inch, there is 11 feet. Hope this helps!

5 0
3 years ago
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