Answer:
Either x = 3, y = 2
or
(3,2) is your answer.
Step-by-step explanation:
2x +y = 8 (1)
y = - x+ 5 (2)
Put equation (2) into equation (1). Use the y value in (2) to go into the y value in (1).
2x - x+5 = 8 Combine the x values
x + 5 = 8 Subtract 5 from both sides
x + 5-5 = 8-5
x=3
Now go back to (2). Put x in for the value of -x. Watch the sign.
y = -3+ 5
y = 2
So the answer is (3,2)
Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
Answer:
Step-by-step explanation:
So the ratio is 5:4:2
there are 11 parts to this ratio (5+4+2)
the 5 is for the $2, the 4 is for the $1 and the 2 is for the 50 cents
he has 30 of the 50 cents
so you divide 30 by 2 to get one part of this ratio
1 part of this ratio is equal to 15 coins
multiply 15 by 5 to get the number of $2 coins: 75
multiply 15 by 4 to get the number of $1 coins: 60
add all of those parts together
30+60+75 = 165
If he uses a $1 coin to buy the sundae he will have 75 $2 coins and 59 $1 coins left
however, if he uses two 50 cents coins to buy the sundae he will have 75 $2 coins and 60 $1 coins left
You have to do 3.14 times the diameter of the circle.
Answer:
see explanation
Step-by-step explanation:
We require 2 equations with the recurring part after the decimal point.
Let x = 0.555..... → (1)
Multiply both sides by 10, then
10x = 5.555..... → (2)
Subtract (1) from (2) thus eliminating the recurring decimal
(10x - x) = (5.5555 - 0.5555 ), that is
9x = 5 ( divide both sides by 9 )
x =