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3 years ago

I NEED HELP PLEASE Which is the better buy?

Mathematics

2 answers:

Vladimir79 [104]3 years ago

6 0

Answer: The second one, 10 rolls for $12. 1.29 (Rounded)

Step-by-step explanation:

14/18 is 1.29 (Rounded)

10/12 is 1.20.

The unit rate is cheaper, therefore making it the better buy

Genrish500 [490]3 years ago

4 0

The 10 roll option is better:
Make both numbers of rolls 140 (14x10 and 10x14)
Do the same with the dollars:
10 roll option: $168 but 14 roll option: $180
Bottom option is better

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Brandon’s family went out to dinner. The dinner bill was $85 and the family gave the server a 20% tip. How much is the tip?

gregori [183]

Answer: The tip is $17

Step-by-step explanation: You multiply $85 by .2 to get this answer.

7 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

Sally is selling strawberries at the farmer’s market. She sells 5 boxes in the morning, and then sells half of the remaining box

Vilka [71]

Answer:

23 boxes

Step-by-step explanation:

x=5+9*2

5 0

3 years ago

Read 2 more answers

Use the original price and the markup to find the retail price.

Ber [7]

Answer:

$45.15

Step-by-step explanation:

When you are dealing with questions with percents in them—like this one—you have to turn the percent into a decimal. To make 7.5% into a decimal, you move the decimal point 2 spaces to the left. So, 7.5% is also 0.075.

Now, we have to use this formula for these types of questions:

x + x(y)= the price with tax (or markup)

So, we can substitute the variables.

42+42(0.075)=the retail price

42(0.075)=3.15

42+3.15=45.15

So, the retail price will be $45.15

5 0

2 years ago

SELECT ALL OF THE EQUATIONS THAT

anygoal [31]

Answer:

x+9= 12 yes x = 3

4 + X= 9 no x = 5

X x 5 = 18 no x = 3.6

21 / x= 7 yes x= 3

hope this helps

4 0

2 years ago