Answer:
a 4 1/5
b 7 7/24
Step-by-step explanation:
a 7/9 * 5 2/5
Change the mixed number to an improper fraction
7/9 * (5*5+2)/5
7/9 * 27/5
Rewrite
7/5 * 27/9
7/5 * 3
21/5
Change this back to a mixed number
5 goes into 21 4 times (4*5 = 20 ) with 1 left over
4 1/5
b 1 3/4 * 4 1/6
Change to improper fractions
(4*1+3)/4 * (6*4+1)/6
7/4 * 25/6
175/24
Change back to a mixed number
24 goes into 175 7 times (7*24 =168 ) with 7 left over
7 7/24
Answer:
For question 1 it's B
For question 2 it's C
Step-by-step explanation:
<u>For question 1, you have to apply the "Triangle Inequality Theorem"</u>
A+B > C
B+C > A
A+C > B
Let's say that A=22, B=17, C= 14
22+17 > 14 True
17+14 > 22 True
22+14 > 17 True
Therefore, the answer is B
<u>For question 2, you apply the rule of the sum of the triangles which is 180°</u>
70+70+? = 180
140+? = 180
? = 40
Therefore, it's C
Answer:
Step-by-step explanation:
-60
Step-by-step explanation:
Increase in population is given by positive sign
Change in population in 5 years = -300
Decrease in population is represented by negative sign
Change in population in 1 year = -300\5
= -60
Town's population faces a decrease of 60 residents each year.
Alex bought all the string needed for $125.
It costs $18 for the remaining materials to make each puppet.
So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.
And the variable cost is $18.
In this case we can model a Total cost function C(x) for for x number of puppets as below
The total cost to make 50 puppets=$1025
The city do not have up to 5,500 cubic meters of sand that will be needed to combat erosion.
<h3>
Volume</h3>
Volume is the amount of space occupied by a three dimensional object or figure. The volume (V) of a cone is given by:
V = (1/3)πr²h
Where h is the height, and r is the radius
Given that h = 35 m, the radius using Pythagoras theorem:
37² = r² + 35²
r = 12
V = (1/3)π(12)² * 35 = 5280 m³
The city do not have up to 5,500 cubic meters of sand that will be needed to combat erosion.
Find out more on Volume at: brainly.com/question/1972490
