Answer:
Step-by-step explanation:
√9=3
√16=4
subtracting 1
√9 -1=3-1=2
√(16) -1=4-1=3
so √13-1 lies between 2 and 3
so 2<√13-1<3
2.
∛40≈3.42
3^3=27
4^3=64
as 27<40<64
∛27-1<∛40-1<∛64-1
or 3-1<∛40-1<4-1
or 2<∛40-1<3
3.
2³=8
3³=27
so ∛8<∛25<∛27
2+2<∛25+2<3+2
4<∛25+2<5
4.
10²=100
11²=121
111 lies between 100 and 121
√100-4<√111-4<√121-4
10-4<√111-4<11-4
6<√111-4<7
5.
109 lies between 100 and 121
√100<√109<√121
10-1<√109-1<11-1
9<√109-1<10
6.
5²=25
6²=36
30 lies between 25 and 36
√25+5<√30+5<√36+5
5+5<√30+5<6+5
10<√30+5<11
4<√30-1<5
By saying it out loud you will notice that the fraction is 4 and 625/1000... after this, you just have to reduce 625/1000 by figuring out the hugest number that goes into both
625/1000=5/8
final answer is 4 and 5/8
A proportional change means that for every change in 1 value, it is accompanied by a change in another value that is the same every time. For example, with this, if x=1 then y=2*1=2. If we move x up 1 value to 2, y=2*2=4. Next, if we move x one more value up then 3*2=y=6. As you may notice, y adds up by 2 every time. In addition, you multiply the x value by the same number every time and only that number (no adding anything) and it is therefore a proportional equation
9514 1404 393
Answer:
D, B
Step-by-step explanation:
Price per pound is found by dividing dollars by pounds.
Store A: $9/(3 lb) = $3.00 /lb
Store B: $9.75/(3 lb) = $3.25 /lb
Store C: $12.40/(4 lb) = $3.10 /lb
Store D: $14.50/(5 lb) = $2.90 /lb
<u>Part A</u>: The lowest price per pound is $2.90 per pound at store D.
<u>Part B</u>: The highest price per pound is $3.25 per pound at store B.
Answer:
12 units
Step-by-step explanation:
Given the points :
R(−3, 2) - - - > S(2, 2) - - - - > T(2, −5).
Distance between R and S
Distance between two points is obtained thus :
D = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Distance between R and S
x1 = - 3 ; y1= 2 ; x2 = 2 ; y2 = 2
D1 = sqrt((2 - (-3))^2 + (2 - 2)^2)
D1 = sqrt((5^2 + 0^2))
D1 = sqrt(25)
D1 = 5
Distance between S and T
x1 = 2 ; y1= 2 ; x2 = 2 ; y2 = - 5
D2 = sqrt((2 - 2)^2 + (-5 - 2)^2)
D2 = sqrt((0^2 + (-7)^2))
D2 = sqrt(49)
D2 = 7
Hence, total length = D1 + D2 = 5 + 7 = 12 units