Answer:
Step-by-step explanation:
The expression can be simplified only if you take the same quantity out of both the top and bottom.
You can simplify the numbers by taking a factor of 3 out of the expression.
The numerator changes to 1 (because 3 / 3 = 1) and the denominator changes to 7 (because 21 / 3 = 7).
The variables can be eliminated through subtraction. The numerator variable is completely removed because you can subtract w³ from w⁵. This makes the denominator w² (because w⁵ - w³ = w²).
Answer:
At least 3 bags will be required to pack the fruit in equal amount.
Step-by-step explanation:
Given:
Number of apples she buys =15
Number of oranges she buys = 18
Number of mangoes she buys = 21
we need to find the least possible number of bags used.
Solution:
To find the least possible number of bags required we will find the prime common factor.
Multiples of 15 =
Multiples of 18 =
Multiples of 21 =
so we can say that;
Highest common prime factor in all three numbers is 3.
Hence At least 3 bags will be required to pack the fruit in equal amount.
Answer:
Honest mistake. You graphed Tina's claim incorrectly. You graphed (5,2) and Tina's claim is (2,5). Remember (x,y) !!!
Step-by-step explanation:
Answer:
The first one: 10*10*10*10*10*10
Step-by-step explanation:
This is because the power of a number is how many times you multiply it by itself (example: = 2*2*2*2 because the power is 4 which means you multiply the base by itself 4 times, in this case the base is 2)
Answer:
1) x = 71°, 2) x = 27°, 3) x= 32°
Step-by-step explanation:
1) Rectangle ABCD.
∠D = 90°
From ΔABE.
∠EAB +∠ABE + ∠BEA = 180°
45 + 90 +∠BEA = 180
∠BEA = 45
∠BEA + ∠AED +∠DEC = 180 °, because ∠BEC is a straight angle
45 + x + 64 = 180
x = 71°
2) Δ XYZ is equilateral, all angles = 60°.
∠YZX = 60°.
∠YZW = 180°, because it is a straight angle.
∠YZX + ∠XZW= 180
60 + ∠XZW= 180
∠XZW = 120.
From ΔXZW
∠ZXW + ∠XWZ + WZX = 180
x + 33 + 120 = 180
x = 27°
3) In ΔPQR,
PQ = PR, so ∠PQR = ∠PRQ = 69°
∠PRQ + ∠PRS = 180, because ∠QRS = 180° as straight angle.
∠PRQ + ∠PRS = 180
69 + ∠PRS = 180
∠PRS = 111°.
From ΔPRS
∠PRS + ∠RSP + ∠SPR = 180
111 + 37 + ∠SPR = 180
111 + 37 + x= 180
x = 32