Let d = number of stamps from John (4 letters, d is 4th letter, etc)
<span>Let e = number of stamps from Johan </span>
<span>Let h = number of stamps from Jonathan </span>
<span>Johan and Jonathan have the same number of stamps, so: </span>
<span>e = h </span>
<span>2 times Johan's collection is 11 less than 5 times John's collection, so: </span>
<span>2e = 5d - 11 </span>
<span>3 times Jonathan's collection is 3 less than 7 times John's collection,so: </span>
<span>3h = 7d - 3 </span>
<span>Now we have three equations and three unknowns. You're asked for the number of stamps in John's collection, so you want the value to variable "d". </span>
<span>Since e = h, we can substitute "h" for "e" in the second equation. </span>
<span>2h = 5d - 11 </span>
<span>3h = 7d - 3 </span>
<span>now we have two equations and two unknowns. I'll use elimination, starting with multiplying the first equation by -3 and the second one by 2. </span>
<span>-6h = -15d + 33 </span>
<span>6h = 14d - 6 </span>
<span>now add both together and you have an equation with one unknown remaining: </span>
<span>0 = -d + 27 </span>
<span>d = 27 </span>
<span>So your answer is 27 stamps. If you want to know how many stamps the others have, you can work back and solve for e and h.</span>
Answer:
Find out the how much does each pair of socks cost when bought individually .
To prove
Let us assume that the original price of one pair of shoes be x.
Than cost for three pair of shoes be 3x.
As given
Maritza is buying a multipack of 3 pairs is socks for $25.98.
She will save $6.39 by buying multipack instead of buying 3 individual pairs of the same socks.
Than the equation becomes
3x - 25.98 = 6.39
3x = 25.98 + 6.39
3x = 32.37
x = $10.79
Therefore each pair of socks cost when bought individually is $10.79 .
Answer:
-5 and +7
Step-by-step explanation:
f(x) = (x²- 3x - 28)/(x² - 2x - 35)
The excluded values of x are those that make the denominator equal to zero.
x² - 2x – 35 =0
(x – 7)(x + 5) =0
x - 7 = 0
x = 7
x+ 5 = 0
x = -5
The excluded values of x are -5 and +7.
your answer is D............................
