Answer:
12cm^2
Step-by-step explanation:
1/2 x diagonal x diagonal
Answer:
p=37
Step-by-step explanation:
to get p by its self, you would do:
p+36=73
-36=-36
p=37
Prime factorization means finding the prime numbers that you can multiply to make a certain number.
So, he prime factorization of 36 would be 2 x 2 x 3 x 3 or 2, 2, 3, and 3.
Just to make sure: 2 x 2 = 4 4 x 3 = 12 12 x 3 = 36
There's your answer!
y =-3x + x + 9
Find y when x = 2
Substitute the value of x= 2 into the equation
y = -3(2) + 2 + 9
y = - 6 + 2 + 9
y = -4 + 9
y = 5
The answer is 5
Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars
We have Lesley's purchase: 4x+2y=13.50
And Landon's: 1x+5y=17.55
We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55
We add this four times to Lesley's purchase to eliminate the x variable.
2y-20y=13.50-70.2
-18y=-56.7
y = $3.15 = Price of box of granola bars
Plug back into Landon's purchase to solve for pretzels.
x+5*3.15=17.55
x+15.75=17.55
x = $1.80 = price of bag of pretzels
Problem 4.
Let w = number of wood bats sold
Let m = number of metal bats sold
From sales information we have: w + m = 23
24w+30m=606
Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second.
24*(23-m)+30m=606
552-24m+30m=606
6m=54
m=9 = number of metal bats sold
Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.
