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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

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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(5x+3)(7x-7) how do find x

Delvig [45]

We can use the FOIL method to solve.

(5x + 3)(7x - 7)

(5x * 7x) + (5x * -7) + (3 * 7x) + (3 * -7)

35x - 35x + 21x - 21

0 + 0

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2 years ago

7x+2y=-28<br><br><br>Help write slope-intercept form pls

kap26 [50]

Answer:

y = - $\frac{7}{2}$ x - 14

Step-by-step explanation:

Slope intercept form: y = mx + b

Isolate the y:

7x + 2y = -28

2y = -7x - 28

y = - $\frac{7}{2}$ x - 14

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3 years ago

The area of a rectangle is 5/6 sq foot. The width is 2/3 foot. The length of the rectangle is how many feet

max2010maxim [7]

Answer:

The answer is

$\frac{5}{4} \\$

Step-by-step explanation:

Area of a rectangle = length × width

Since we are finding the length

<h3> $length = \frac{area}{width} \\$ </h3>

From the question

area = 5/6 sq. feet

width = 2/3 foot

Substitute the values into the above formula and solve for the length

The length is

$length = \frac{5}{6} \div \frac{2}{3} \\ = \frac{5}{6} \times \frac{3}{2} \\ = \frac{5}{2} \times \frac{1}{2} \\ = \frac{5}{4}$

We have the final answer as

$\frac{5}{4} \\$

Hope this helps you

7 0

3 years ago

Read 2 more answers

Please help me someone

Aneli [31]

There is a formula for the area of a parallelogram which is bxh
(base x height)

Remember the height is always straight so do not use the 12 value.

21x9=189

Hope this helped!

7 0

2 years ago

Write a rule to describe the function shown. x y −6 −4 −3 −2 0 0 3 2 y equals start fraction two over three end fraction x y equ

sertanlavr [38]

Answer:

$y=\frac{2}{3} x$ (y equals start fraction two over three end fraction x)

Step-by-step explanation:

Lest's organize the table values of our function first:

x y

-6 -4

-3 -2

0 0

3 2

The simplest kind of of function is a linear function of the form $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept. Let's us check if our function is a linear one finding its equation and checking that all points are in the line.

The first step to find a linear equation is find the slope of the line; to do it, we are using the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

where

$m$ is the slope of the line

$(x_1,y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

We know from our table that the first and second points are (-6, -4) and (-3, -2) respectively, so $x_1=-6$ , $y_1=-4$ , $x_2=-3$ , and $y_2=-2$ .

Replacing values:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-2-(-4)}{-3-(-6)}$

$m=\frac{-2+4}{-3+6)}$

$m=\frac{2}{3)}$

Now that we have the slope of our line we can use the point slope formula to complete our linear function:

$y-y_1=m(x-x_1)$

where

$m$ is the slope

$(x_1,y_1)$ are the coordinates of the first point

Replacing values:

$y-y_1=m(x-x_1)$

$y-(-4)=\frac{2}{3)}(x-(-6))$

$y+4=\frac{2}{3)}(x+6)$

$y+4=\frac{2}{3} x+4$

$y=\frac{2}{3} x+4-4$

$y=\frac{2}{3} x$

Now, to check if our function is valid, we can either check if each point satisfies the rule $y=\frac{2}{3} x$ , or we can graph it and check if each lies is in the graph.

Let's check both:

We already know that points (-6, -4) and (-3, -2) satisfy the rule (after all, those were the point we used to came out with the rule in the first place), so we just need to check the points (0, 0) and (3, 2)

- For (0, 0):

$y=\frac{2}{3} x$

$0=\frac{2}{3}(0)$

$0=0$

The point satisfies the rule.

- For (3, 2):

$y=\frac{2}{3} x$

$2=\frac{2}{3} (3)$

$2=2$

The point satisfies the rule.

Since all the points of our table satisfies the rule $y=\frac{2}{3} x$ , we can conclude that the rule describing the function shown is $y=\frac{2}{3} x$ .

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3 years ago

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