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
We have been given that a geometric sequence's 1st term is equal to 1 and the common ratio is 6. We are asked to find the domain for n.
We know that a geometric sequence is in form
, where,
= nth term of sequence,
= 1st term of sequence,
r = Common ratio,
n = Number of terms in a sequence.
Upon substituting our given values in geometric sequence formula, we will get:

Our sequence is defined for all integers such that n is greater than or equal to 1.
Therefore, domain for n is all integers, where
.
Answer:1.5
Step-by-step explanation:
Answer:
a.) Total distance Julie cover = 128 feet
b.) Total area , the playground cover = 256 ft²
Step-by-step explanation:
P. S : The exact question is -
As given,
Length of 1 side = 16 feet
As , we have
4 sides of same length
⇒ Total length of playground = 16 + 16 + 16 + 16 = 16(4) = 64 feet
a.)
As given Julie does 2 lap of the playground
⇒ Total distance Julie cover = 64 + 64 = 128 feet
b.)
As the playground has equal side, so it must be of square shape
And, we know
Area of square = (Length of one side)²
= ( 16 )² = 256 ft²
∴ we get
Total area , the playground cover = 256 ft²
Answer:
19+6x
Step-by-step explanation:
2×2+x+5x+15
4+6x+15
19+6x