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erastovalidia [21]

3 years ago

8

A cup of coffee costs $1.75. A monthly unlimited coffee card costs $25.00. Which inequality represents the number x of cups of

coffee you must purchase for the monthly card to be a better deal?

1 answer:

Papessa [141]3 years ago

5 0

Answer:i think its x > 14.28

Step-by-step explanation:

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Write an equation in slope-intercept form for the following line:<br> (-14.1) and (13,-2)

vesna_86 [32]

Answer:

$y=-\frac{1}{9}x-\frac{5}{9}$

Step-by-step explanation:

$(-14,1)(13,-2)$

Use the slope-intercept formula:

$y=mx+b$

m is the slope and b is the y-intercept. Use the slope formula first:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:

$(-14(x_{1}),1(y_{1}))\\(13(x_{2}),-2(y_{2}))$

$\frac{-2-1}{13-(-14)}$

Simplify parentheses (two negatives makes a positive):

$\frac{-2-1}{13+14}$

Simplify:

$\frac{-3}{27} =-\frac{3}{27}=-\frac{1}{9}$

The slope is $-\frac{1}{9}$ . Insert into the equation:

$y=-\frac{1}{9}x +b$

Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:

$(13,-2)\\-2=-\frac{1}{9} (13)+b$

Solve for b, the y-intercept. Simplify parentheses:

$-\frac{1}{9}*\frac{13}{1}=-\frac{13}{9}$

$-2=-\frac{13}{9} +b$

Add $-\frac{13}{9}$ to both sides:

$-2+\frac{13}{9}=-\frac{13}{9} +\frac{13}{9} +b\\\\-2+\frac{13}{9} =b$

Simplify:

$-\frac{2}{1} +\frac{13}{9}\\\\-\frac{18}{9}+\frac{13}{9}\\ \\b=-\frac{5}{9}$

The y-intercept is $-\frac{5}{9}$ . Insert this into the equation:

$y=-\frac{1}{9} x-\frac{5}{9}$

Finito.

8 0

3 years ago

Coach barron bought 66 pounds of ice cream for the end of the year little league social. there are 8 teams, each with 12 people.

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Each person gets about 9.75 ounces of ice cream

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Collins Middle School has 217 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the

lbvjy [14]

Answer:620

Step-by-step explanation: lets say the total of school is X so:

X.35÷100=217

when we calculate this the answer will be 620

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The sum of two numbers is 12. One number is prime and the other is composite. What are the numbers?

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9 and 3. Because 9 is a composite number (3*3 = 9) and 3 is a composite number (1*3 = 3).

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What is 1 1/9 plus 3 5/8

Daniel [21]

I think the answer should be 4.7 but rounded up would be 5

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