Joan has 294 marbles
dan has 7 marbles
So what we have to do to solve this problem is to write down those values in 2 equations (one that represents what you sold and the other what your friend sold) compare them and find how much each ticket is worth.
First equation : 11x + 8y = 158
Where x = how much each adult ticket is
and y = how much each student ticket is
The second equation is : 5x + 17y = 152
Using the method of substitution , we can compare each equation side by side:
11x + 8y = 158
5x + 17y = 152
Now we need to set one of the variables of both equations so they are equal:
11(5)x + 8(5) = 158(5)
5(11)x + 17(11)x = 152(11)
55x + 40y = 790
55x + 187y = 1672
Then we subtract the second equation by the first one
55x-55x + 187y - 40y = 1672 - 790
147y = 882
y = 6
The we apply y to one of the equations to discover x :
11x + 8y = 158
11x + 8(6) = 158
11x + 48 = 158
11x = 110
x = 10
So the awnser is :
Each adult ticket (x) is $10
And each student ticket (y) is $8
I hope you understood my explanation,
(1,4)
(4,1)
(2,3)
(3,2)
so there are 4 different combinations that equal 5
6 x 6 = 36 total possible outcomes of the dice
so they have a 4/36 reduces to 1/9 probability of equaling 5
Answer:
4/15
Step-by-step explanation:
The total number of spins completed is 6+8+7+9 = 30
The letter B came up 8 times
P(B) = number of B's over total
P(B) = 8/30 = 4/15
Answer:
After 1 year, both the tress will be of the same height.
Step-by-step explanation:
Let us assume in x years, both trees have same height.
Type A is 7 feet tall and grows at a rate of 8 inches per year.
⇒The growth of tree A in x years = x times ( Height growth each year)
= 8 (x) = 8 x
⇒Actual height of tree A in x years = Initial Height + Growth in x years
= 7 + 8 x
or, the height of tree A after x years = 7 + 8x
Type B is 9 feet tall and grows at a rate of 6 inches per year.
⇒The growth of tree B in x years = x times ( Height growth each year)
= 6 (x) = 6 x
⇒Actual height of tree B in x years = Initial Height + Growth in x years
= 9 + 6 x
or, the height of tree B after x years = 9 + 6x
According to the question:
After x years, Height of tree A =Height of tree B
⇒7 + 8x = 9 + 6x
or, 8x - 6x = 9 - 7
or, 2 x = 2
or, x = 2/2 = 1 ⇒ x = 1
Hence, after 1 year, both the tress will be of the same height.
