Answer:
17
/1
decimal form =0.05882
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "57.8" was replaced by "(578/10)". 2 more similar replacement(s)
STEP1:
289
Simplify ———
5
The equation at the end of step1:
34 289
—— ÷ ———
10 5
STEP2:
17
Simplify ——
5
The equation at the end of step2:
17 289
—— ÷ ———
5 5
STEP3:
17 289
Divide —— by ———
5 5
3.1 Dividing fractions
To divide fractions, write the division as multiplication by the reciprocal of the divisor :
17 289 17 5
—— ÷ ——— = —— • ———
5 5 5 289
Final result :
1
—— = 0.05882
17
The population of North Carolina was approximately 22 times larger than the population of Raleigh
The volume of a cuboid is = length × width × height.
Let the width of Olivia's lunch box be 'x'.
Hence the length of Olivia's lunch box shall be 'x + 2'
Also the height of the box is given as 3 inches.
The volume of the box is 240 in³
Substituting in the formula we get

Dividing by 3 on both sides

Exapnding we get

Subtracting 80 from both sides

Factoring

We get
x= -10 or x = 8
But x cannot be negative
So x = 8
Hence the width of the box is 8 inches.
Answer:
The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
Step-by-step explanation:
We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E.
There are 9 letters in the word WONDERFUL
There is a condition that letter R is always next to E.
So, We have two letters fixed WONDFUL (ER)
We will apply Permutations to find ways of arrangements.
The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways
The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways
The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways
So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
Method 1:
Convert the mixed number to the improper fraction:

Make the product:

<em>canceled 2</em>

Method 2:


<em>use the distributive property a(b + c) = ab + ac</em>
