The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th
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Answer:
3/10
Step-by-step explanation:
<em>Step 1 : Write the formula of calculating probability</em>
Probability = Number of favourable outcomes/Number of total outcomes
<em>Step 2 : Identify the favourable (requires) outcomes and the total outcomes</em>
- Total outcomes are the total cards that are placed on the table = 10 cards
- The favourable outcomes are the number of cards that have an even number on them.
12, 14, 18 = 3 cards
<em>Step 3 : Substitute the values in the formula</em>
Probability = Number of favourable outcomes/Number of total outcomes
Probability = 3/10
Therefore, the probability of picking a card with and even number is 3/10.
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Answer:
The answer is
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4,7) and (-1,3)
We have
We have the final answer as
Hope this helps you
Answer:
35ab = 48
Step-by-step explanation:
given
5a = 6 ( divide both sides by 5 )
a = 
and
7b = 8 ( divide both sides by 7 )
b = 
substitute these values for a and b into the expression and simplify
35ab
= 35 × × ( divide 35 and 5 by 5 )
= 7 × 6 ×
= 42 × ( divide 42 and 7 by 7 )
= 6 × 8
= 48
Answer:
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
Step-by-step explanation:
Let
x = $0.85 per pound
y = $2.70 per pound
x + y = 21 (1)
0.85x + 2.70y = 19.95 (2)
From (1)
x = 21 - y
Substitute x = 21 - y into (2)
0.85x + 2.70y = 19.95 (2)
0.85(21 - y) + 2.70y = 19.95
17.85 - 0.85y + 2.70y = 19.95
- 0.85y + 2.70y = 19.95 - 17.85
1.85y = 2.1
y = 2.1 / 1.85
y = 1.14
Substitute y = 1.14 into (2)
0.85x + 2.70y = 19.95
0.85x + 2.70(1.14) = 19.95
0.85x + 3.078 = 19.95
0.85x = 19.95 - 3.078
0.85x = 16.872
x = 16.872 / 0.85
x = 19.85
x = $0.85 per pound = 19.85 pounds
y = $2.70 per pound = 1.14 pounds
Answer:
Step-by-step explanation:
(a) Number of necklaces
3⁵/₈ = 3.625
(b) Value of gold in each necklace
There are 3.625 oz of 14K gold in each necklace. Pure gold is 24K.
Pure 24K gold is worth $1050/oz.
