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Hatshy [7]
3 years ago
15

if you prder two servings of pancakes and fruit cup the cost of the fruit cup is $1.50 and you leave a 15% tip your total bill i

s 11.50 how much does the sserving of pancakes cost
Mathematics
1 answer:
Sindrei [870]3 years ago
3 0

Both servings of pancakes cost $8.50

One serving of pancakes cost $4.35

Equation:   1.15 (2x + 1.50) = 11.50

                  2.3x + 1.725 + 11.50

                   2.3x = 9.725

                   x = 4.25 for one serving of pancakes

                   2x = 8.50 for both servings of pancakes

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Aleksandr [31]

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what is the equation of the line that is parallel to the given line and passes through the point (2, 3) ? a. x + 2y = 4 b. x + 2
aleksandr82 [10.1K]

Answer:

see explanations

Step-by-step explanation:

The given blue line has a slope of m = -1/2.

The line parallel to the given line passing through point (x0,y0)=(2,3) is given by the point-slope form:

(y-y0)=m(x-x0)

substitute values

(y-3) = (-1/2)(x-2)

Expand and transpose

y = (-1/2)x + 1 + 3

y = (-1/2)x + 4  ....................(1)

We choose the second equation b. x+2y=8 and convert to slope-intercept form:

2y=-x+8

y = (-1/2)x + 4, which is exactly equation (1)

So

b. x+2y=8 is the correct answer.

3 0
3 years ago
On a standardized exam, the scores are normally distributed with a mean of 145 and a standard deviation of 25. Find the z-score
Kryger [21]

Answer:

z = 2.6

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5 0
2 years ago
Find three consecutive integers whose sum is equal to −354. Three consecutive integers in ascending form are __,__,__
mixer [17]

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Step-by-step explanation: This problem states that the sum of three consecutive integers is -354 and it asks us to find the integers. Three consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒<em> third integer</em>

<em />

Since the sum of our three consecutive integers is -354, we can set up an equation to represent this.

X + X + 1 + X + 2 = -354

Now, we can simplify on the left side of the equation.

3x + 3 = -354

      -3      -3    ← subtract 3 on both sides of the equation

3x = -357

÷3     ÷3     ← divide both sides by 3

X = -119

X ⇒ <em>first integer = </em><em>-119</em>

X + 1 ⇒ <em>second integer = </em><em>-120</em>

X + 2 ⇒<em> third integer = </em><em>-121</em>

<em />

Therefore, our three consecutive integers are -119, -120, and -121.

6 0
3 years ago
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