Let us bear in mind the equivalent value of these coins:
One dime = $0.10
One quarter = $0.25
Let x = number of dimes
y<span> = number of quarters</span>
Since the boy has 70 coins in total, we can say that:
<span>x + y = </span><span>70 </span>(can be written as x = 70 – y)
Since the boy has a total of $12.40, we can say that:
0.10x + 0.25y = 12.40
To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y)
0.10(70 – y) + 0.25y = 12.40
7 – 0.10y + 0.25y = 12.40
0.15y = 5.40
y = 36
X = 70 – 36
X = 34
Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span>
34 dimes = $3.40
36 dimes = $9.00
<span>Total </span><span>$12.40</span>
Let x be the length of a month on the other dimension. Since a year value is 365.242 days
We have 2 × 365.242 = 5 × x
It means that 5x = 730,484
and that x = 730,484 / 5 ≈ 146,1 days rounded to the decimal
This means that a month length in the other dimension is of roughly 146 days.. and If we assume that a month in the other dimension is of 30 days approximately, then one day length would be of 146,1 / 30 ≈ 4.87 days
Answer:
f^(-1)(x) = \frac{-1}{5} (x+4)
Step-by-step explanation:
Given is a function
To find its inverse.
We must check whether f is one to one or onto first
If -5x1-4 = -5x2-4 we get x1=x2
Hence f is one to one
Also for every f(x) we can find a x so f is onto.
So inverse exists
Let
Replace x by f inverse and y by x
Answer:
Substitution property of equality
Step-by-step explanation:
Given
and 
Then
Required
State the property
From the list of options, (d) answers the question.
This is so because:
Substitution property of equality states that
If 
then 
In other words, both can replace one another.
So if , then 2y + 1 can be substituted for x in
So:
becomes
<em>Hence, it is substitution property of equality</em>
