We need to find the quotient of the given division problem.
In order to find its quotient, we will use long division.
)
First of all, we put x in the quotient as 
goes into 
, x times.
So, we get:
)(x
Upon subtracting, we get:
We can see that goes into 
, -2 times, therefore, the next term in the quotient will be -2. This makes our quotient as (x-2).
Answer:
No
Step-by-step explanation:
She would be able to fit 729 cubes but not 1000.
Let the number of nickels found be n, the number of dimes be d and the number of quarters be q.
i) "you have twice as many quarters as dimes and 42 coins in all."
means that 2d=q, and n+d+q=42
we can reduce the number of unknowns by substituting q with 2d:
n+d+q=42
n+d+2d=42
n+3d=42
We can write all n, d and q in terms of d as follows:
there are n=42-3d nickels, d dimes and q=2d quarters.
ii) In total there are $6.60 dollars,
1 nickel = 5 cent = $0.05
1 dime = 10 cent = $0.1
1 quarter = 25 cent = $0.25
thus
(42-3d)*0.05 + d*0.1 +2d*0.25= $6.60
2.1 - 0.15d+0.1d+0.5d=6.60
2.1+0.45d=6.6
0.45d=6.6-2.1=4.5
d=4.5/0.45=10
iii)
so, there are 10 dimes, 2d=2*10=20 quarters and 42-3d=42-3*10=12 nickels.
Answer: 10 dimes, 20 quarters, 12 nickels
Proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 : : 12 : 4
<h3><u>Solution:</u></h3>
Given that
There are 3 feet in one yard
And there are 12 feet in 4 yard
Number of feet in one yard = 3 that is feet : yard = 3 : 1
Number of feet in 4 yards = 12 that is feet : yard = 12 : 4
And 3 feet in 1 yard is equivalent to 12 feet in 4 yards means
That is 3 : 1 : : 12 : 4
A proportion is statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a : b = c : d
Hence proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 :: 12 : 4
Answer: 10/117
Step-by-step explanation:
3 distinct letters and 4 distinct nonzero digits
For letters: A → Z = 26 options
For numbers: 1 → 9 = 9 options
As we have 26 options for letters and 9 for numbers and they have to be distinct, for the total of codes we have
Total of codes: 26.25.24.9.8.7.6
For the particular code asked, we have 5 options of vowels and 4 options of even numbers, so
5.25.24.8.7.6.4
probability: <u>5.25.24.8.7.6.4</u> = <u>10</u>
26.25.24.9.8.7.6 117
