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3 years ago

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chad buys peanuts in 2-pound bags.He repackages them into bags that hold 5/6 pound of peanuts.How many 2-pound bags of peanuts s

hould chad buy so that he can fill the 5/6-pound bags without having any peanuts left over ?

1 answer:

Juli2301 [7.4K]3 years ago

6 0

Chad would have to buy 2, 2-pound bags of peanuts. So he has 4 pounds in all. 5/6 can go into 4 event.

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12(4^3−6⋅3^2) solve please fast

Marrrta [24]

The answer is 291.72

3 0

2 years ago

Read 2 more answers

The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep

Alchen [17]

Ooh, fun

geometric sequences can be represented as
$a_n=a(r)^{n-1}$
so the first 3 terms are
$a_1=a$
$a_2=a(r)$
$a_2=a(r)^2$

the sum is -7/10
$\frac{-7}{10}=a+ar+ar^2$
and their product is -1/125
$\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3$

from the 2nd equation we can take the cube root of both sides to get
$\frac{-1}{5}=ar$
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
$\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r$
subsituting -1/5 for ar
$\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r$
which simplifies to
$\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}$
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for $ax^2+bx+c=0$
$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$
so
for 2r²-5r+2=0
a=2
b=-5
c=2

$r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}$
$r=\frac{5 \pm \sqrt{25-16}}{4}$
$r=\frac{5 \pm \sqrt{9}}{4}$
$r=\frac{5 \pm 3}{4}$
so
$r=\frac{5+3}{4}=\frac{8}{4}=2$ or $r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}$

use them to solve for the value of a
$\frac{-1}{5}=ar$
$\frac{-1}{5r}=a$
try for r=2 and 1/2
$a=\frac{-1}{10}$ or $a=\frac{-2}{5}$

test each
for a=-1/10 and r=2
a+ar+ar²= $\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}$
it works

for a=-2/5 and r=1/2
a+ar+ar²= $\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}$
it works

both have the same terms but one is simplified

the 3 numbers are $\frac{-2}{5}$ , $\frac{-1}{5}$ , and $\frac{-1}{10}$

6 0

3 years ago

Jada and Diego are practicing the piano for an upcoming rehearsal. The number of minutes Jada practiced is listed below:

katen-ka-za [31]

Answer:

20

Step-by-step explanation:

First, rewrite the numbers in numerical order:

8, 10, 10, 15, 15, 20, 20, 20, 20, 25, 25, 25, 35

Then find the middle number: (note there's 6 numbers on each side of <u>20</u>)

<em>8 10 10 15 15 20 </em><u>20</u> <em>20 20 25 25 25 35</em>

Hope this helps!

7 0

3 years ago

Nolan and emily are both selling cookie dough for a fundraiser. Although Nolan has already sold four tubes emily hasn't sold any

just olya [345]

Answer:

it will take 65 days. 130 tubes of cookie dough.

Step-by-step explanation:

3 0

2 years ago

10. Giselle invests $16,250 in an account that earns 4.25% interest, compounded continuously.

denis-greek [22]

Answer: <u>24 years</u>

Step-by-step explanation:

% • total = Answer

4.25% • $40,000 = Answer

.0425 • $40,000 = Answer

Answer = $1,700 per year

40,000 ÷ 1,700 = 23.5

<u>23.5 rounded to the nearest year is 24</u>

3 0

2 years ago