Answer:
15
Step-by-step explanation:
1 is neither prime nor composite
2 is the smallest prime
3 is the next smallest prime
5 is the next smallest
but 2,3,5 do not make a triangle
The third side must be smaller than the sum of the other two
2+3 <5 not equal to
7 is the next prime
3,5,7 are the three sides of the triangle
P = 3+5+7
P = 15
We have an equation: 20/?= 150/240
Cross multiply:
150*?= 20*240
⇒ ?= 20*240/150= 32
The final answer is 32 minutes~
Answer:
7
Step-by-step explanation:
This is the value of "f(x)" when "x = 0" .
Answer:
The lines moves lower.
Step-by-step explanation:
The steepness of a line is related to the slope, m.
b is the y-intercept, not the slope.
b is where the line intersects the y-axis.
Changing b changes the vertical position of the line.
Answer: The lines moves lower.
In order to solve this equation you could use guess and check with multiple choice, or you can set up a system of equations.
First we must define our variables:
x=price of taco
y=price of burrito
Michael bought 4 tacos (4x) and (+) and Burrito (y) for $9.50 (=9.5)
4x+y=9.50
Noah bought two tacos (2x) and (+) three burritos (3y) for (=) $11 (11)
2x+3y=11
To solve this system of equations you can easily see substitution as the easiest method. For substitution we must isolate one variable:
4x+y=9.50
y=-4x+9.5
We can now replace the y in the other equation:
2x+3(-4x+9.5)=11
Then solve this equation to get the price of a taco (x)
2x-12x+28.5=11
-10x=-17.5
x=1.75
The price of a taco would be $1.75