Answer:
13 1/3 miles
Step-by-step explanation:
inches/miles = inches/miles
3/10 = 4/x
3x = 40
x = 13 1/3
Answer:
there's a minimum at (4, -1)
Step-by-step explanation:
Please use " ^ " to denote exponentiation: y= x^2 - 8x+ 15.
To "complete the square," take half of the coefficient of x (which is -8). Square this result, obtaining 16.
In y= x^2 - 8x+ 15, add 16, and then subtract 16, between -8x and +15:
y = x^2 - 8x + 16 - 16 + 15
This becomes:
y = (x - 4)^2 -1
Reading off the coordinates of the vertex, we get (4, -1). Because the coefficient of the (x - 4)^2 term is positive, we know .there's a minimum at (4, -1)
Answer:
Draw a diagram with rectangle where 10" is the diagonal, 6" is the bottom of the screen, then you have a right triangle with hypotenuse of 10 and one side = 6.
Use Pythagorean theorm to find unknown side x;
x2 + 62 = 102 Solving for x, you get X = 8 inches
Answer:
A) x-1 < n < 3x+5
Step-by-step explanation:
The value of n can range between the sum and difference of the lengths of the other two sides. The sum is ...
(2x +2) +(x +3) = 3x +5
The difference is ...
(2x +2) -(x +3) = x -1
For the purpose of choosing one of these answers, we must assume that the sum is greater than the difference and the value of x is such that x-1 > 0. Using these assumptions, possible values of n are ...
x -1 < n < 3x +5 . . . . . for x > 1
_____
<em>Alternate Solution</em>
The expressions for the given side lengths are both positive when x > -1. In the range -1 < x < 1, we have the condition that 2x+2 ranges from 0 to 4 and x+3 ranges from 2 to 4. That is (x+3) > (2x+2) and possible values of n are ...
lowest: (x+3) -(2x +2) = 1 -x
highest: (x+3) +(2x +2) = 3x +5
So, another possible solution is ...
1-x < n < 3x +5 . . . . . . . for -1 < x < 1
Kim stacked the most pizzas.
Ronnie stacked 0.25 of the pizzas. 0.25 = 25% and 25% of 40 is 10.
Ronnie therefore stacked 10 pizzas.
Mack stacked 9 pizzas.
Kim stacked 35% of the pizzas and 35% of 40 is 14 pizzas.
Ada stacked the remaining pizzas. 10 + 9 + 14 = 33 and 40-33 leaves 7 remaining.
Therefore, Ada stacked 7 pizzas.
By comparing these amounts, we see that Kim stacked the most.