I will say its the correct answer
Answer:
60 feet
Step-by-step explanation:
Setting the proportion up:
x/25=24/10
Cross Multiply.
10x=24*25
10x=600
Divide both sides by 10.
x=60
Answer:
$8.50
Step-by-step explanation:
I don't know what Alls are, but if Carlos insists, we can calculate how much he can spend on Alls with the expression:
($31.50) + r
$40
This says the sum of what Carlos has already spent (hot dogs and hamburgers) plus the amount he spends on Alls (rolls?), r, must be equal to or less than the $40 he has allowed himself to spend.
($31.50) + r
$40
r
$40 - $31.50
r
$8.50
Ooh, fun
geometric sequences can be represented as

so the first 3 terms are



the sum is -7/10

and their product is -1/125

from the 2nd equation we can take the cube root of both sides to get

note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as

subsituting -1/5 for ar

which simplifies to

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


so
for 2r²-5r+2=0
a=2
b=-5
c=2




so

or

use them to solve for the value of a


try for r=2 and 1/2

or

test each
for a=-1/10 and r=2
a+ar+ar²=

it works
for a=-2/5 and r=1/2
a+ar+ar²=

it works
both have the same terms but one is simplified
the 3 numbers are

,

, and
Understand that a decimal is any number written in the base-10 system. In common usage, the term "decimal" refers to a number that uses a decimal point to separate the ones place from tenths, hundredths, etc. Represent decimals using area models. State the fraction (tenths or hundredths) that is equivalent to a given decimal. Compare the values of decimals (tenths or hundredths) using area models and/or a number line. For example, compare the value of 0.8 and 0.21.Find a decimal that has a value between two other decimals. For example, find a decimal with a value between 0.3 and 0.4.