Okay, so we multiply..
And we know that a week = 7 days..
So..
2 * 2/3 * 7 = ???
We change the 2 into 2/1
THEN we multiply..
2/1 * 2/3 = 4/3
Then we change the 7 into 1/7.. ( Which is still a whole )
Then multiply again..
4/3 * 1/7 = 4/21
You can correct me if I'm wrong...
I hope this helps you!
Answer:
the longest side of the first triangle is 32 cm
Step-by-step explanation:
Given;
dimension of the smaller triangle = 4.5cm 6cm and 8 cm.
the longest side of this smaller triangle = 8 cm
Perimeter of the first triangle = 74 cm
let the increase in dimension of the similar first triangle = x
the longest side of the first triangle = 8x
4.5x + 6x + 8x = 74
18.5x = 74
x = 74/18.5
x = 4
the longest side of the first triangle = 8 x 4 = 32 cm
x = number of 1-cent stamps
y = number of 8-cent stamps
z = number of 12-cent stamps
We have 31 stamps all together, so x+y+z = 31.
"I have 4 more 1-cent stamps than 8-cent stamps" means we have the equation x = y+8. Whatever y is, add 8 to it to get x. Solve for y to get y = x-8.
You also have "twice as many one cent stamps as 12 cent stamps", so x = 2z. Solving for z gets you z = 0.5x
-------------
x+y+z = 31
x+x-8+z = 31 ... y replaced with x-8
x+x-8+0.5x = 31 ... plug in z = 0.5x
2.5x-8 = 31
2.5x = 31+8
2.5x = 39
x = 39/2.5
x = 15.6
Your teacher made a typo somewhere because we should get a positive whole number result for x (since x is a count of how many 1-cent stamps we have).
Lcm is found by finding the factors and making a mega group with all the factors of both groups, excluding repeats from different groups so
12=2 times 2 times 3
18=2 times 3 times 3
megagroup=2 times 2 times 3 times 3=4 times 9=36
the LCM=36
Answer:
Step-by-step explanation:
3 tickets to attend an Off-Broadway show cost $81,
4 tickets cost $108; and
5 tickets cost $135.
Let the price of a ticket=k
Therefore:
Solving any of the equation above gives: x=27
We therefore have:
Let y be the total cost of x tickets
- From the above, the constant of proportionality, k=27
An equation for the relationship is therefore:
y=27x (where x is the number of tickets and y is the total costs (in $)).
