Answer:
10^2 is exponent so do it first - 100
100/4=25
25x3=75
75
Parentheses
Exponents
Multiply - Multiply and Divide are interchangeable
Divide
Add - Adding and subtracting are interchangeable
Subtract
Step-by-step explanation:
Answer:
a)14 or b)74
Step-by-step explanation:
I'm assuming the question is how many combinations are there.
A) If toppings can't stack it would be 14, since there are 6 toppings for 2 pies and also you can go without toppings. or *2
B) If toppings can stack, then there can be 74 from being able to stack 6 toppings on one pizza and then two pizzas without it or (6^2)*2+2
We have the following equation from the line

We must remember that the equation of the line is expressed in the form y=mx+b, where a represents the slope of the line.
Since we are standing a line parallel to the line described in the previous equation, we must ensure that their slopes are exactly the same, so when identifying the slope of the equation, this same slope is used for a completely parallel line.

In conclusion, the slope of the line that is parallel to the line y = 2x + 5 is:
#1 second line: x-y=-3
x=y-3(isolating x to prepare for substitution)(what x is equivalent to)
get back to the first line
x+y=5
(y-3)+y=5(substituting the value of x of the first line with the value of x at the second line)(It is a process to find the intersection between the two lines(line#1 and line#2 are two linear functions)
2y-3=5(simplify)
2y=8(simplify)
y=4(simplify)
line#1 x+y=5
x+(4)=5(plug the value of y back into either line#1 or line#2 will work)(plugging in the y value of the point of intersection to solve for the x value of the point of intersection)
x=1(solve)
the two linear lines intersect at the point(1(x coordinate), 4(y coordinate))(1,4)
#2 (line#1) y=3x-1
(line#2) 2x+y=14
2x+(3x-1)=14
5x-1=14
5x=15
x=3
y=3(3)-1
y=9-1
y=8
(3,8)
#3 line#1 2x+3y=8
line#2 6x+9y=24
2x=8-3y
x=(8-3y)/2
6((8-3y)/2)+9y=24
24-9y+9y=24
24=24
(those two lines are on top of yeach other/the same line)
any point on the line
#4 line#1 3x-4y=12
line#2 y=3/4x-4
3x-4(3/4x-4)=12
3x-3x+16=12
16=12
parallel lines: lines with same slope and different y-intercept
No solution/they never intercept each other
I hope it is helpful, if you have any question, I will answer ASAP
Answer:
367.25 dollars
Step-by-step explanation:
To calculate 35 percent of 565 you would first
- Find 30 percent to do this find 10% (÷10) and then times your answer by 3. (565÷10=56.5 times by 3 is 169.5)
- Then you would have to find 5 percent do this by halfing 10% of the number. (We know 10% equals to 56.5 half off that is 28.25)
- Add the numbers together (5% + 30%)
- (169.5 + 28.25 =197.75)
35% is 197.75 the question says 35% off so you would have to take the 35% off the 565
(565-197.75 = 367.25)