48 kilograms of 15 % copper is combined with 72 kilograms of 75 % copper to create 120 kg of a 51% copper alloy
<em><u>Solution:</u></em>
Let "x" be the kilograms of 15 % copper
Then, (120 - x) be the kilograms of 75 % copper
Then, according to question,
"x" kilograms of 15 % copper is combined with (120 - x) kilograms of 75 % copper to create 120 kg of a 51% copper alloy
Thus we frame a equation as:
15 % of x + 75 % of (120 - x) = 51 % of 120
<em><u>Solve the equation for "x"</u></em>

Thus 48 kilograms of 15 % copper used
Then, (120 - x) = (120 - 48) = 72
Thus, 72 kilograms of 75 % copper is used

is a parabola (looks like the letter U).
The letter a represents the coefficient of

and it controls two things (1) how wide or narrow the parabola is and (2) whether it is concave up (like a U) or concave down (like an up-side-down).
The absolute value of a (the number without the sign) controls how wide or narrow it is. If the absolute value is a fraction less than 1 the graph gets wider. The smaller the absolute value of the fraction the wider the graph gets.
If the absolute value of a is greater than 1 the graph gets narrower (it gets skinnier). The bigger the absolute value the narrower the graph.
So, if all the graphs look like a U (concave up) then the one with the smallest a is the one that is the widest.
The a also controls whether the graph is concave up or concave down. If a is negative
If a is negative the graph is concave down so any graph that is concave down has a smaller value of a than any graph that is concave up. However, if the graph is concave down the one with the smallest a would be the most narrow one.
So to find the one with the smallest a...
If they are all concave up (like a U) pick the widest one
and
If they are not all concave up pick the narrowest one that is concave down (looks like an upside down U)
There are 25 students in relay race and there are 5 equal teams, to find the number of team in relay, we can use division:
25÷5
=5
Therefore, a team have 5 sudent.
Hope it helps!
Answer:
(6r+7)+(13+7r)=13r+20
(13-1/2r)-(1-r)=12-1/2r
(-8-r)+(2r-4)=-12+r
Last one is r-13/6
Step-by-step explanation: