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2 years ago

A 20-ounce bag of popcorn costs $2.80. If the unit price stays the same, how much does a 35-ounce bag of popcorn cost?

Mathematics

1 answer:

Wittaler [7]2 years ago

4 0

Answer:

I think the answer is C

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A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were tripled what would be the

vagabundo [1.1K]

Originally we have
length = x
width = x-2
since the width is 2 inches smaller than the length

now let's triple each dimension. Multiply the expressions by 3 to get
new length = 3*x
new width = 3*(x-2) = 3x-6

Now onto the area
area = (length)*(width)
area = (3x)*(3x-6)
area = 3x*3x-3x*6
area = 9x^2 - 18x

So the new larger rectangle has area of 9x^2-18x

3 0

2 years ago

Please help!! due in 5 mins

Serhud [2]

Question 8 should be y=-5/2x-1. And question 9 should be y=1/2x-7.

6 0

2 years ago

Find a12 of the sequence 1/4, 7/12, 11/12, 5/4

UNO [17]

1/4 = 3/12, and 5/4 = 15/12, so it looks like there's a common difference between terms of 4/12 = 1/3. The the $n$ -th term in the sequence is given recursively by

$\begin{cases}a_1=\frac14\\a_n=a_{n-1}+\frac13&\text{for }n>1\end{cases}$

By substitution, we get

$a_n=a_{n-1}+\dfrac13\implies a_n=\left(a_{n-2}+\dfrac13\right)+\dfrac13$

$a_n=a_{n-2}+\dfrac23$

and doing this again and again until we stop with an expression containing $a_1$ , we find that

$a_n=a_1+\dfrac{n-1}3$

$a_n=\dfrac{4n-1}{12}$

Then the 12th term in the sequence is

$a_{12}=\dfrac{4\cdot12-1}{12}=\boxed{\dfrac{47}{12}}$

7 0

3 years ago

(1 point) A certain magical substance that is used to make solid magical spheres costs $800 per cubic foot. The power of a magic

Dmitrij [34]

Answer:

The answer is " $r=0.175 \ ft$ "

Step-by-step explanation:

using formula:

$\to \text{profit = revenue-cost}$

$\to revenue = 70 \times 4\pi r^2 = 280\pi r^2\\\\\to cost = 800 \times \frac{4}{3} \pi r^3 = \frac{3200}{3} \pi r^3$

so,

$\to profit (p)= 280\pi r^2 - \frac{3200}{3} \pi r^3\\\\\text{max profit when}\\\\\to 560 \pi r-3200 \pi r^2=0$

$\to \pi r(560 -3200r)=0\\\\ \to (560 -3200r)=0\\\\\to 3200r=560\\\\\to r=\frac{560}{3200}\\\\\to r=\frac{56}{320}\\\\\to r=\frac{7}{40}\\\\\to r=0.175 \ ft$

3 0

2 years ago

Given that (0,3) is on the graph of f(x), find the corresponding point for the function f(x)-2

natima [27]

Answer:

(0 , 1)

Step-by-step explanation:

given y = f(x), then

y = f(x) + c is a vertical translation

• If c > 0 then vertical shift up of a units

• If c < 0 then vertical shift down of a units

here c = - 2, hence shift down of f(x) by 2 units

(0, 3) → (0, 3 - 2 ) = (0, 1)

4 0

3 years ago