Answer: 1733.28 in^2
Step-by-step explanation:
We have to give counter example for the given statement:
"The difference between two integers is always positive"
This statement is not true. As integers is the set of numbers which includes positive and as well as negative numbers including zero.
Consider any two integers say '2' and '-8'. Now, let us consider the difference between these two integers.
So, 2 - 8
= -6 which is not positive.
Therefore, it is not necessary that the difference of two integers is only positive. The difference of two integers can be positive, negative or zero.
Answer:
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
z = number of quarters
Total worth of the coins = $41.45
Total number of coins = 361
x + y + z = 361 (1)
dime = $0.1,
nickel = $0.05
quarter = $0.25
0.05x + 0.1y + 0.25z = 41.45 (2)
twice as many dimes as quarters.
y = 2z
Substitute y = 2z into (1) and (2)
x + 2z + z = 361
0.05x + 0.1(2z) + 0.25z = 41.45
x + 3z = 361
0.05x + 0.2z + 0.25z = 41.45
x + 3z = 361 (3)
0.05x + 0.45z = 41.45 (4)
Multiply (4) by 20
x + 3z = 361 (3)
x + 9z = 829 (5)
Subtract (3) from (5)
9z - 3z = 829 - 361
6z = 468
Divide both sides by 6
z = 468 / 6
= 78
z= 78
Recall,
y = 2z
= 2(78)
= 156
y = 156
Substitute the value of y and z into
x + y + z = 361
x + 156 + 78 = 361
x + 234 = 361
x = 361 - 234
= 127
x= 127
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Answer:
Three equivalents ratios for 6/9 could be 2/3, 12/18 and 18/27
Step-by-step explanation:
An equivalent ratio refers to the same number but written differently. For example, for the ratio 6/9, we could obtain the following equivalent ratios.
First equivalent ratio
You can divide the numerator and denominator by 3. You get 2/3
Second equivalent ratio
You can multiply the numerator and denominator by 2. You get 12/18
Third equivalent ratio
You can multiply the numerator and denominator by 3. You get 18/27
Thus, three equivalents ratios for 6/9 could be 2/3, 12/18 and 18/27
The first roller coaster is 35 for 5 which means $7 for 1 ride
the second roller coaster is 59 for 11 which means 59 divided by 11 get 5.36
5.36 times 11 = 58.96 probrably a combo so it is estimated upward
