A certain recipe ask for 6/7 cup of granola. How much is needed to make 4/5 of a recipe?

Iliana was part of a group that was working on changing 0.4 repeated to a fraction. Each member of the group had a different ans

amm1812

$\bf 0.444444444\overline{4}\impliedby \textit{and keeps on going}\\\\
-------------------------------\\\\
\textit{let's say }\boxed{x=0.444444444\overline{4}}\quad \textit{ thus }10\cdot x=4.44444444\overline{4}
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\textit{wait a minute! }4.44444444\overline{4}\textit{ is really just }4+0.444444444\overline{4}$

$\bf \textit{but we know }x=0.444444444\overline{4} \textit{ so then }4+0.444444444\overline{4}=\boxed{4+x}
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\textit{wait a second! }10\cdot x\implies 10x=4.444444444\overline{4}=4+x
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thus\qquad 10x=4+x\implies 10x-x=4\implies 9x=4\implies \boxed{x=\cfrac{4}{9}}$

you can check in your calculator.

anyhow, to get the "recurring decimal to fraction", you start by setting to some variable, "x" in this case, then move the repeating part to the left of the point by multiplying it by some power of 10, and then do the equating.

3 0

3 years ago

Read 2 more answers

What type of solutions does this equation have?

Oksi-84 [34.3K]

Answer:

one real solution

Step-by-step explanation:

square root of 0 is 0

8 0

3 years ago

there are 40 students waiting in the line to enter the museum. There are 4 times as many students in the museum as are in line w

JulijaS [17]

9514 1404 393

Answer:

160

Step-by-step explanation:

The problem statement tells us ...

(# in museum) = 4 × (# waiting)

(# in museum) = 4 × 40 . . . . . . . . . . . . the number waiting is 40

# in museum = 160

6 0

3 years ago

Your gym membership costs $33 per month after an initial membership fee . you paid a total of $228 after 6 months.

Lubov Fominskaja [6]

So, what I did was multiply 33*6 and got 198 and then 228-198 to find out that the initial fee was 30 dollars. then multiply 33*9+30 to get a 9 month total cost of $327. Hope from here you are able to set up your equation now you have all the information needed :)

4 0

3 years ago

Here is an array of ten integers 6 4 0 3 9 8 1 7 2 5

garik1379 [7]

Answer:

$[4,0,3,1,2,5]$ and $[6,9,8,7]$

Step-by-step explanation:

GIVEN: an array of ten integers $6,4,0,3,9,8,1,7,2,5$ .

TO FIND: If we partition this array using Quick sort's partition function and using $5$ for the pivot. List the elements of the resulting array after the partition finishes.

SOLUTION:

quick sort is a divide and conquer algorithm in which an array is partitioned into sub-arrays about an pivot element by checking whether elements are greater than pivot or and then sub arrays are sorted recursively.

Here $5$ is the pivot element.

two arrays will be created, in first array element less than or equal to pivot element are stored in other elements greater than pivot element are stored.

Starting from first element of array

elements in first array will be $=[4,0,3,1,2,5]$

elements in second array will be $=[6,9,8,7]$

Hence the resulting array after the partition finishes are $[4,0,3,1,2,5]$ and $[6,9,8,7]$

6 0

4 years ago