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ddd [48]
3 years ago
11

A dinner check is to be split among 3 people. Greg’s portion of the check is twice Kelly’s. Joe’s portion is $1.50 less than 4 t

imes Kelly’s. If the total bill is $114.00, how much does each person owe?
Mathematics
1 answer:
defon3 years ago
7 0

Answer:

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

Step-by-step explanation:

Let

Kelly's portion = x

Greg's portion = 2x

Joe's portion = 4x - 1.50

Total bill = $114.00

Total bill = Kelly's portion + Greg's portion + Joe's portion

114 = x + 2x + (4x - 1.50)

114 = 3x + 4x - 1.50

114 = 7x - 1.50

Add 1.50 to both sides

114 + 1.50 = 7x - 1.50 + 1.50

115.5 = 7x

Divide both sides by 7

x = 115.5 / 7

= 16.5

x = $16.5

Kelly's portion = x

x = $16.5

Greg's portion = 2x

= 2 × 16.5

= $33

Joe's portion = 4x - 1.50

= 4(16.5) - 1.50

= 66 - 1.50

= $64.5

Therefore,

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

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What equation is represented by the graph below
mamaluj [8]

Answer:

y= -2/3x - 2

Step-by-step explanation:

So, the easiest thing to find first is your y-intercept, or the point in which the line crosses the y-axis. In this graph, the y intercept would be -2. Now, we can find the slope. One way to find the slope is to start at a point and count the numbers it rises and then the number it runs. Or, you can choose two points, like (0,-2) and (3,-4) and use the formula for slope, (y2-y1) / (x2-x1). Plug those numbers in and get (-4 minus -2)/ (3 minus 0), which would give you -2/3.  

7 0
3 years ago
What expression is equivalent to 2^-3/2^-5?​
mr_godi [17]
2^2 , or 4
since the exponents have the same base, we can subtract the exponent of the numerator by the exponent in the denominator.

So 2^-3 - 2^-5 = 2^(-3-(-5)) = 2^2

The new exponent is 2 because -3-(-5) is equal to 2.

6 0
3 years ago
Is 1/3 lap per minute a unit rate
Lyrx [107]
I would assume it is. 
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3 years ago
The sum of two numbers is 51. Four times the smaller number is 24 more than the larger number. What are the numbers?
KiRa [710]

The smaller number is 15 and larger number is 36.

Step-by-step explanation:

Let,

Smaller number = x

Larger number = y

According to given statement;

The sum of two numbers is 51.

x+y = 51     Eqn 1

Four times the smaller number is 24 more than the larger number.

4x = y+24  

4x - 24 = y

y = 4x-24     Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x+(4x-24)=51\\x+4x-24=51\\5x=51+24\\5x=75

Dividing both sides by 5

\frac{5x}{5}=\frac{75}{5}\\x=15

Putting x=15 in Eqn 2

y=4(15)-24\\y=60-24\\y=36

The smaller number is 15 and larger number is 36.

Keywords: linear equation, substitution

Learn more about linear equations at:

  • brainly.com/question/9720317
  • brainly.com/question/9621364

#LearnwithBrainly

5 0
4 years ago
Read 2 more answers
6. Parker, Inc. used Excel to run a least-squares regression analysis, which resulted in the following output: Regression Statis
aleksley [76]

Answer:

"34,814" is the correct solution.

Step-by-step explanation:

The given values are:

Intercept coefficient,

\beta_0 = 23,859

Production coefficient,

\beta_1 = 3.13

Units sold,

x = 3,500

Now,

The total cost will be:

⇒  \bar{y}=\beta_0+\beta_1 x

On substituting the estimated values, we get

⇒     =23,859+3.13\times 3,500

⇒     =23,859+10,955

⇒     =34,814

4 0
3 years ago
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