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marishachu [46]
2 years ago
15

How can x minus two-thirds = StartFraction 5 over 6 EndFraction be solved for x in one step?

Mathematics
1 answer:
Brums [2.3K]2 years ago
5 0

Add Two-thirds to both sides

solution:

x-2/3= 5/6

We have to find how this can be solved for "x" in one step

Remember that,

We we add or subtract same number from both sides of a equation, the equation still remains true

Therefore, from given,

x-2/3=5/6

Add Two-thirds to both sides

x-2/3+2/3=5/6+2/3

x=5/6+2/3

x=9/6

Add Two-thirds to both sides to solve the sum

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Five cards are selected without replacement from a pack of 52 playing cards. What is the probability of exactly 3 hearts?
irga5000 [103]
There are 13 total hearts in the deck, which leaves 39 non-hearts. You're drawing a hand of five cards, so the probability of getting exactly 3 hearts is

\dfrac{\binom{13}3\binom{39}2}{\binom{52}5}=\dfrac{2717}{33320}

as required.
3 0
3 years ago
8936245x18463 brainlist to who gets this right
storchak [24]
164989891435 I think lol
8 0
2 years ago
Nick has fraction 1 over 2 cup of syrup. He uses fraction 1 over 6 cup of syrup to make a bowl of granola.
SCORPION-xisa [38]

<u>Part A)</u> <em>How many bowls of granola can Nick make with fraction 1 over 2 cup of syrup?</em>

So if we have 1/2 cup of syrup and 1/6 is needed we can divide 1/2 by 1/6 to find our answer for part a.

1/2 / 1/6

"keep change flip" -> 1/2 x 6

answer -> 3

He can make 3 bowls of granola

<u>Part B)</u> <em>On your own paper, draw a fraction model that shows the total number of bowls of granola that Nick can make with fraction 1 over 2 cup of syrup. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A. </em>

(visual attatched)

You could say "This model visually shows the solution for Part A because each bowl of granola has 1/6 cup of syrup in it. The 1/2 cup is split into 3 different parts, as you can see"

(draw it neater though, it's hard on a computer with a mouse haha)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

(second problem you commented)

Part A: <em>How many 3 over 4 foot pieces can Clark cut from the 7 and 1 over 2 feet of wire? Show your work. (5 points)</em>

First let us change 7 1/2 into an improper fractoin,

7 x 2 = 14 + 1 = 15/2

So then we can, as we did above, divide 15/2 by 3/4 which looks like:

15/2 / 3/4

keep, change, flip -> 15/2 x 4/3

60 / 6

answer -> 10

Clarck can cut <u>10</u> 3/4 foot pieces.

Part B: <em>Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given.</em>

*I am honestly kind of confused by this question, so here is some words that are hopefully somewhat correct*

You could say here that "Calrck had 7 1/2 feet of wire. He needed 3/4 pieces, so when he cut it up he got 10 pieces. This is because 3/4 times 10 is 7 1/2 so this quotient makes sense with the two fractions given."

~~~~~~~~~~~~~`

Hopefully these are correct and help, have a nice day! :D

6 0
2 years ago
A 10 2/3 -inch long pipe is cut into 8 equal length pieces. How long is each piece?
ch4aika [34]

Answer:

Each peice is 1 1/3 (4/3) long.

Step by step explanation:

10 2/3 divided by 8

10 2/3 = 32/3

32/3 divided by 8 = 32/3 x 1/8

32 times 1 = 32, 3 times 8 = 24 =32/24

32/24 in simplest form is 4/3 (aka 1 1/3)

Hope this helped! :)

3 0
2 years ago
Which two days had a ratio of 2:5 computers sold?
Nana76 [90]

Answer:

A. Wednesday to Friday

Step-by-step explanation:

Wednesday/Friday=6/15=2/5

2/5=2:5

7 0
2 years ago
Read 2 more answers
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