Compatible numbers are numbers which are easy to do mental calculation.
For example is when doing division like 25 and 5, 100 and 10, and 36 and 6.
First, we know that: 7 pounds=5 pounds + 2 pounds
or 7=5+2
In mathematics, the word “of” means to multiply. So:
grapes
given away = 7 * (2/5)
Replacing 7 with 5 and 2:
=
(5+2)*(2/5)
Using the distribution principle:
=5*(2/5)
+ 2*(2/5)
=2+
4/5
=2
4/5
So grapes given away is 2 4/5 pounds.
Answer:
‹A = 141°
‹B = 28°
‹C = 11°
*These angles are rounded to the nearest whole*
Step-by-step explanation:
Because you are only given sides you can find an individual angle measures with the inverse law of cosines.
Remember the side opposite of the angle corresponds to that angle.
a² = b² + c² - 2bc cos(A) →
A = cos⁻¹ (a² - b² - c² / -2bc)
b² = a² + c² - 2ac cos(B) →
B = cos⁻¹ (b² - a² - c² / -2ac)
c² = a² + b² - 2ab cos(C) →
C = cos⁻¹ (c² - a² - b² / -2ab)
Answer:
Step-by-step explanation:
Note that the distance from -5/7 to 6/7 is 6/7 - (-5/7) = 11/7.
So, if you take steps of 1/7 each, there are 10 steps between -5/7 = 11/7.
-4/7, -3/7, -2/7, ..., 5/7
Answer:
Mizuki is here to help! The answer is D!
Step-by-step explanation:
Ok... So there are 24 students in the class and no other students in the class has the same name right? So the fraction should be 
since there are three madisons, which will be 0.125!
Since three people have the same name, everyone else gets less probability of getting called so the answer would be D.
Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
