Answer:
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75°
Step-by-step explanation:
<u>Given : </u>
The second angle measures twice the first, and the third angle measures 5 more than the second.
Sum of angles = 180°
<u>Solution : </u>
Let the first angle be x
According to the given question :
Second angles = 2x
Third angle = 2x + 5
we know that Sum of angles = 180°
<u>Solving x value :</u>
x + 2x + (2x+5) = 180°
5x + 5 = 180
5x = 180 - 5
5x = 175
x = 175/5
x = 35
<u>Finding the measure of each angle : </u>
First angle = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 2x+5 = 70 + 5 = 75
Part A: c for cost. c=0.31m+0.5
0.31m is the cost per minute. 0.5 is cost per call.
Part B: 0.31m+0.5=5.15 to solve we must rearrange.
subtract 0.5 from each side giving us 0.31m=4.85
divide by 0.31 giving us m=15.65
Answer:
12 servings
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
Answer:
630,630 different arrangements are possible for the given laptops.
Step-by-step explanation:
Total number of laptops = n = 15
Number of identical Dell laptops = 6
Number of identical Chromebooks = 4
Number of identical Mackbooks = 5
We have to find in how many ways can the laptops be arranged. Number of arrangement of objects is calculated using Permutations as the order of objects matter during the arrangement. The formula to calculate the number of possible arrangements when there are similar objects is given as:

Here n is the total number of objects and a,b, and c represent the number of identical objects. Using the given values we get:

This means 630,630 different arrangements are possible for the given laptops.