Answer:
x(6+7x)
Step-by-step explanation:
Answer:
16 pieces of spearmint gum
Step-by-step explanation:
For every five pieces of peppermint gum, there are 2 pieces of spearmint gum.
First, divide the total number of peppermint gum by 5:
40/5 = 8
Multiply this number by 2 (pieces of spearmint) to get the number of spearmint gum pieces:
8 x 2 = 16
Proof:
Ratio is 40 : 16, dividing this by 8 will reduce the ratio to 5:2
Answer: She had 200 cards to start with
Step-by-step explanation:
Let x = the amount of cards she had initially. This means she had x cards to start with.
She gave half of the cards she had to a friend. This means she gave her friend x/2 cards. She is left with with (x-x/2) = x/2 cards.
She also gave 1/4 of the remaining cards to her brother. This means that she gave (1/4 × x/2) = x/8 cards to her brother.
Remaining number of cards will be x/2 - x/8 = (4x-x)/8 = 3x/8
She still has 75 cards left. This means
3x/8 = 75
Cross multiplying with 8, it becomes
3x = 75×8 = 600
x = 600/3 = 200
She had 200 cards to start with.
Answer:
(4, 0).
Step-by-step explanation:
y = 8x - 32
There are many solutions that we can choose from, since any set of coordinates that fit in the equation counts as a solution.
We can have (0, -32), (1, -24), (2, -16), (3, -8), (4, 0), and many more.
Hope this helps!
Answer:
Step-by-step explanation:
3) Sin30 = 11/x
x = 11/Sin30 = 11/0.5
x = 22
Tan 30 = 11/y
y = 11/tan30 = 11/0.5774
y = 19.1
4) Sin30 = 6/x
x = 6/Sin30 = 6/0.5
x = 12
Tan 30 = 6/y
y = 6/tan30 = 6/0.5774
y = 10.39
5) Sin45 = 9√2/y
y = 9√2/Sin45 = 9√2/(√2/2) =
9√2 × 2/√2 = 18
x = 18
Tan 45 = 9√2/x
x = 9√2/Tan 45 = 9√2/1
x = 9√2
6)
Sin60 = 9/x
x = 9/Sin60 = 9/0.866
x = 10.39
Tan 60 = 9/y/2 = 18/y
1.7321 = 18/y
y = 18/1.7321
y = 10.39
