Answer: Total jam = 100kg
jams taken out on 2 occasions= 15 2/5kg and 12 4/5 kg
= 77/5 and 64/5
quantity of jam left in the container
= 100- (77/5 + 64/5)
=100- 141/5
= 100- 28.2
= 71.8 kg
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Answer:
23°
Step-by-step explanation:
Let the interior angles of ΔABC be referenced by A, B, and C. The definition of point D means that ΔDAB is an isosceles triangle, so we have the relations ...
A + B + 118 = 180 . . . . interior angles of ΔABC
A = B +16 . . . . . . . . . . base angles of ΔDAB
Using the expression for A in the second equation to substitute into the first equation, we get ...
(B+16) +B +118 = 180
2B + 134 = 180 . . . . . collect terms
2B = 46 . . . . . . . . . . . subtract 134
B = 23 . . . . . . . . . . . . divide by 2
m∠ABC = 23°
Answer:
The number of possible color combinations that she can make = 6
Step-by-step explanation:
The number of available colors = 3
The question states that Maria only uses a color on each shape at a time,
The number of possible color combinations that she can make = 3!
n! = n*(n -1)*(n-2)*......*1
3! = 3 * 2 * 1
3! = 6 combinations
The number of possible color combinations that she can make = 6
Answer:
<u>Use cross-multiplication to solve these</u>
- 1) 6/2 = 4/p ⇒ 6p = 4*2 ⇒ p = 8/6 ⇒ p = 4/3
- 2) 4/k = 8/2 ⇒ 8k = 2*4 ⇒ k = 8/8 ⇒ k = 1
- 3) n/4 = 8/7 ⇒ n = 4*8/7 ⇒ n = 32/7
- 4) 5/3 = x/4 ⇒ x = 4*5/3 ⇒ x = 20/3
