Answer:
20kg of 25% copper alloy
30kg of 60% copper alloy
Step-by-step explanation:
There are 2 kinds of metal, first metal(A) have 25% copper while the second metal(B) has 60% copper. The metalworker want to create 50kg of metal, which means the total weight of both metals is 50kg (A+B = 50). The metalworker also want the metal made of a 46% which is 23kg(0.25A + 0.6B = 0.46*50). From these sentences, we can derive 2 equations. We can solve this with substitution.
A+B = 50
A= 50-B
Let's put the first equation into the second.
0.25A + 0.6B = 0.46 *50
0.25(50-B) + 0.6B =23
12.5 - 0.25B + 0.6B =23
0.35B=23 -12.5
B= 10.5/ 0.35= 30
Then we can solve A
A= 50-B
A= 50-30
A=20
Step-by-step explanation:
this sequence is geometric not arithmetic
HOw we know that ??
when we get a common difference that must Be equal
d=6-2=4 not equal to d=18-6=12
So it is not arithmetic
but when we get the common ratio that also must be equal
r=6/2=18/6=54/18=3 equal
So it is geometric
By using this equation:
a(n)=a(1)*r^(n-1)
and we have a(1)=2 , r=3
<u>Explicit rule:</u> a(n)=2*(3)^(n-1)
<u>Recursive rule:</u> a(n)= r * a(n-1)
a(n-1) ⇒ priviuse term
SO: a(n)= 3 * a(n-1)
For example:
a(3)= 3 * 6 =18
<em>I really hope this helps <3</em>
If the ratio of green to blue food coloring is 1:2 and 6 drops of blue was used, meaning that you basically multiplied 2 by 3 in order to get 6. Then the number of green drops would be 3 (1*3=3). 6+3=9
The total amount of drops of food coloring is then 9.
Hope this helps! (:
Answer:
-140 ft is not a distance
Step-by-step explanation:
Distance must be a positive number
-140 is negative
It will cost $33.
Since wood cost $ .60 sq ft, you can assume she needs to buy 55 sq ft because she will need to buy enough to have 54.3 square ft.
55 x $ .60 = $33
$32.58 would be he total for the 54.3 sq ft and .42 cents would be for the left over .7 sq ft that she didn’t use
