Answer:
465 miles
Step-by-step explanation:
So you have the ratio 1 cm: 110 mi, so you can multiply both sides of this ratio by 4.5 to get
4.5 cm: 465 mi
Answer:
x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)
Step-by-step explanation:
Solve for x:
-8 + x^2 + (x^2 - 8)^2 = 20
Expand out terms of the left hand side:
x^4 - 15 x^2 + 56 = 20
Subtract 20 from both sides:
x^4 - 15 x^2 + 36 = 0
Substitute y = x^2:
y^2 - 15 y + 36 = 0
The left hand side factors into a product with two terms:
(y - 12) (y - 3) = 0
Split into two equations:
y - 12 = 0 or y - 3 = 0
Add 12 to both sides:
y = 12 or y - 3 = 0
Substitute back for y = x^2:
x^2 = 12 or y - 3 = 0
Take the square root of both sides:
x = 2 sqrt(3) or x = -2 sqrt(3) or y - 3 = 0
Add 3 to both sides:
x = 2 sqrt(3) or x = -2 sqrt(3) or y = 3
Substitute back for y = x^2:
x = 2 sqrt(3) or x = -2 sqrt(3) or x^2 = 3
Take the square root of both sides:
Answer: x = 2 sqrt(3) or x = -2 sqrt(3) or x = sqrt(3) or x = -sqrt(3)
Answer:
Each pizza costs $12.
Each drink costs $2.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the cost of each pizza.
y is the cost of each drinks.
The Talbot family got 2 pizzas and 4 drinks for $32.
This means that 
The Martinez family got 3 pizzas and 8 drinks for $52.
This means that 
Using the addition method, multiplying the first equation by -2.
-4x - 8y = -64
3x + 8y = 52
-4x + 3x - 8y + 8y = -64 + 52
-x = -12
x = 12
Each pizza costs $12.
2x + 4y = 32
2x + 4y = 32
4y = 32 - 2x
4y = 32 - 2*12
4y = 8
y = 2
Each drink costs $2.
Answer:
26 different ways of selecting a salad
Step-by-step explanation:
multiply 13 times 2 to find the number of possibilities
The number of cookies she needs to bake is 4 bc it’s half of 8
