Answer:
36 and 48 and 96
Step-by-step explanation:
add 3+4+8=15
all of the angles in a triangle have to add up to 180
so 180÷15=12
now for this ratio, each part will equal 12
so we have to multiply each of the parts by 12
3×12=36
4×12=48
8×12=96
those are the measures of the angles
you can add them up again and see that they equal 180
you can try dividing and you will see that they also equal the ratio
First question seems incomplete :
Answer:
40 ways
Step-by-step explanation:
Question B:
Number of boys = 6
Number of girls = 4
Number of people in committee = 3
Number of ways of selecting committee with atleast 2 girls :
We either have :
(2 girls 1 boy) or (3girls 0 boy)
(4C2 * 6C1) + (4C3 * 6C0)
nCr = n! ÷ (n-r)!r!
4C2 = 4! ÷ 2!2! = 6
6C1 = 6! ÷ 5!1! = 6
4C3 = 4! ÷ 1!3! = 4
6C0 = 6! ÷ 6!0! = 1
(6 * 6) + (4 * 1)
36 + 4
= 40 ways
Answer: Around 96 people would prefer creamy peanut butter.
Step-by-step explanation:
In the survey was found that 4 out of 5 preferred creamy over chunky peanut butter.
Then the relative frequency is:
4/5 = 0.8 prefer creamy peanut butter.
And we can assume that:
1/5 = 0.2 prefer chunky peanut butter.
We also could multiply these numbers by 100% to obtain the percentage forms:
0.8*100% = 80%
0.2*100% = 20%
Now, if there are 120 people in the grocery store, we can expect that the 80% will prefer creamy peanut butter.
Then we can expect that the number of people that prefers creamy peanut butter is:
N = (80%/100%)*120 = 0.8*120 = 96
Around 96 people would prefer creamy peanut butter.
You will need to set up and solve 2 equations:
A) 3 Vans + 10 Buses = 379
B) 14Vans + 13 Buses = 624
Multiply equation A by -14
A) -42 Vans -140 Buses = -5,306 then Multiply equation B by 3
B) 42 Vans + 39 Buses = 1,872
Adding BOTH equations
-101 Buses = -3,434
Each Bus holds 34 Students
Putting this into equation A
A) 3 Vans + 10 Buses = 379
A) 3 Vans + 10 * 34 = 379
A) 3 Vans +340 = 379
A) 3 Vans = 39
Each van = 13 students
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