Answer:
21
ctto JBarnum
Step-by-step explanation:
P+11=(1/2)(P-13)^2
P+11=(1/2)(P^2-26p+169)
2(P+11)=(1/2)(2)(P^2-26p+169)
2P+22=P^2-26p+169
0=P^2-28p+147 ( -7 and -21)
(P-7)(P-21)=0
P=7,21 (cant be 7 as 13 years from 7 is negative so peter is 21)
checking:
21+11=32
32=(1/2)(21-13)^2
32=(1/2)(8)^2
32=(1/2)64
32=32
correct
Answer:
Step-by-step explanation:
First order from smallest to largest.
70.8, 71.9, 72.1, 82.4, 85.3, 98.1.
Median is the middle number/s.
72.1+82.4/2 so The median is 77.25
Range is the largest number minus the smallest number.
85.3-70.8=14.5
Mode is the most repeated number.
Since there are no repeated numbers there is no mode.
Second question:
Again rearrage: 6, 9, 11, 14, 17
In order to make the median 10 you would have to add another 9 becasue
11+9/2 = 10
Third: remove 6 to make 12 the middle number
Fourth: add all numbers 90+x/6=20 so x has to be 30
Answer:
3 days will pass
Step-by-step explanation:
work 24×1/3=8
sleep 24×3/8=9
meals 24×1/8=3
computer 24×1/6=4
reach up to 24 with sleep
9+9+9=27
which took a little over 3 days
Answer:
√446 ≈ 21.12 cm
Step-by-step explanation:
The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:
d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²
d = √446 cm ≈ 21.12 cm
The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.
_____
<em>Additional comment</em>
The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.
Answer:
Manny bought 3 pounds that were not on sale
Step-by-step explanation:
If 75 % were on sale, (100% -75% = 25%) then 25% were not on sale (The total has to be 100%)
Manny bought 12 pounds of vegetables
To determine how many pounds were not on sale, we take the amount of vegetables purchased and multiply by the percent that were not on sale.
12 * 25%
Change this to decimal form
12 *.25
3
Manny bought 3 pounds that were not on sale
