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3 years ago

9

A store has a large supply of Pepsi, Dr. Pepper, and Mountain Dew. a. How many ways can you purchase 12 sodas if you must have a

t least 6 Pepsis? b. How many ways can you purchase 12 sodas if you want at most 5 Pepsis?

1 answer:

lianna [129]3 years ago

3 0

Answer:

A. 2 ways 2x6 12 divided by 6 B. 1 way 12 divided by 5 which is 2 remainder 2

Step-by-step explanation:

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The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.

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Read 2 more answers

Translate and solve: Three more than the difference of 6s and 5s is equal to the difference of 1/12 and 1/6

PilotLPTM [1.2K]

Answer:

a. $(6s-5s)+3=\frac{1}{12}-\frac{1}{6}$

b. $s=-\frac{37}{12}$

Step-by-step explanation:

You need to remember that:

1. The word "more" indicates Addition.

2. The "Difference" is the result of a Subtraction.

a. Then, knowing this information, you know that:

- "The difference of $6s$ and $5s$ " must be expressed as:

$6s-5s$

- Then, "Three more than the difference of $6s$ and $5s$ " is:

$(6s-5s)+3$

- "The difference of $\frac{1}{12}$ and $\frac{1}{6}$ " can be expressed in this form:

$\frac{1}{12}-\frac{1}{6}$

Therefore, "Three more than the difference of $6s$ and $5s$ is equal to the difference of $\frac{1}{12}$ and $\frac{1}{6}$ " is:

$(6s-5s)+3=\frac{1}{12}-\frac{1}{6}$

b. Solve for "s" in order to find its value:

$s+3=-\frac{1}{12}\\\\12(s+3)=-1\\\\12s+36=-1\\\\12s=-1-36\\\\s=-\frac{37}{12}$

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3 years ago

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Answer:

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Step-by-step explanation:

The graph is in the image

$Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-3,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)\\\\\left(\frac{0-3}{2},\:\frac{1+9}{2}\right)\\\\Add\:or\:subtract\:the\:numbers\\\\(\frac{-3}{2} , \frac{10}{2}) \\\\Simplify\\\\(-\frac{3}{2} , 5)\\$

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3 years ago

A cuboid has side lengths 3cm, 4cm and 7cm. A cylinder with a height double that of the longest side of the cuboid has the same

mart [117]

Step-by-step explanation:

Longest side of cuboid: 7cm

Height of cylinder:

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Volume of cuboid:

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