Answer:
<h2>30.67 pounds of 32% copper alloy and 10.33 pounds of 65% copper alloy</h2>
Step-by-step explanation:
First alloy contains 32% copper and the second alloy contains 65% alloy.
We wish to make 44 pounds of a third alloy containing 42% copper.
Let the weight of first alloy used be 
in pounds and the weight of second alloy used be 
in pounds.
Total weight = 
Total weight of copper = 
Subtracting 32 times first equation from second equation,
∴ 30.67 pounds of first alloy and 13.33 pounds of second alloy were used.
4.for every minute you walk 30 feet
5. Minutes
6.distance
7.just put 1 on the x axis and 30 on the y axis so the coordinate pair would be (1,30) and do the same for the rest (3, 90) (5,150) and (7,210)
Since I can't draw the Venn diagram, I will solve it mathematically.
Let n be the number of drinkers:
n( lattes) = 16
n(espresso) = 12
n(elates AND espresso) = 8
Let's find the number of those who drink either latte or espresso)
n(Lattes OR espresso) = n(lattes) + n(espresso) - n(lattes AND espresso)
n(Lattes OR espresso) = 16 + 12 - 8 = 20
Then 20 likes either lattes or espresso + 8 likes both = 28 like coffee
The total is 50, out of them 28 like coffee, then those who don't like coffee are: 50-28 = 22 (answer B)
Pi is the 16th letter of the Greek Alphabet
Answer:
m∠c = 30°
Step-by-step explanation:
Given:
m∠e = 115° and m∠b = 85°
To find:
m∠c
Angle e and angle a are the linear pairs.
By the property of linear pair of angles,
m∠a + m∠e = 180°
m∠e = 180° - m∠a
115° = 180° - m∠a
m∠a = 180 - 115
= 65°
By the property of interior angles of a triangle,
m∠a + m∠b + m∠c = 180°
65° + 85° + m∠c = 180°
m∠c = 180 - 150
m∠c = 30°
Therefore, measure of angles c is 30°.
