Answer:
x=3
Step-by-step explanation:
8*3 = 24
4*3=12
24-12=12
Answer:
9t + 8
Step-by-step explanation:
9t + (5+3)
Think of it like this. You have 9 oranges, 5 grapes, and 3 grapes. How many grapes and oranges do you have?
Math wise, we will have t representing oranges, and the normal numbers representing grapes. All you have to do is combine them using whatever sign separates them. If you need more help, let me know.
Answer:
~1.8 mile
Step-by-step explanation:
Michael lives at the closest point to the school (the origin) on Maple Street, which can be represented by the line y = 2x – 4.
This means Michael's house will be the intersection point of line y1 (y = 2x - 4) and line y2 that is perpendicular to y1 and passes the origin.
Denote equation of y2 is y = ax + b,
with a is equal to negative reciprocal of 2 => a = -1/2
y2 pass the origin (0, 0) => b = 0
=> Equation of y2:
y = (-1/2)x
To find location of Michael's house, we get y1 = y2 or:
2x - 4 = (-1/2)x
<=> 4x - 8 = -x
<=> 5x = 8
<=> x = 8/5
=> y = (-1/2)x = (-1/2)(8/5) = -4/5
=> Location of Michael' house: (x, y) = (8/5, -4/5)
Distance from Michael's house to school is:
D = sqrt(x^2 + y^2) = sqrt[(8/5)^2 + (-4/5)^2) = ~1.8 (mile)
From the given, there are 5 toppings available. If the pizza is to contain only two toppings, that is one of the five toppings and one of either tomato and cheese then, there will be 10 ways to prepare the pizza. Lastly, if we include the pizza with no toppings then, we have 11 types of pizza.
Answer:
1860 WAYS
Step-by-step explanation:
Combination is the technique used to compute the selection of items based on given criteria.
ⁿₐC = n!/(n - a)! a!
The number of ways an 8-person committee of 4 men and 4 women is to be formed from a group of 15 women and 12 men
= 15 ₄C + 12₄C
= 15!/(15 - 4)!4! + 12!/(12 - 4)!4!
= 1365 + 495
= 1860 WAYS
