Answer:
200 grams
Step-by-step explanation:
Let us represent
The number of grams of
30% smarties = x
20% smarties = y
Hence:
x + y = 500
x = 500 - y
Hence:
30% × x + 20% × y = 24% × 500
0.3x + 0.2y = 120
Substitute 500 - y for x
Hence:
0.3(500 - y) + 0.2y = 120
150 - 0.3y + 0.2y = 120
Collect like terms
- 0.3y + 0.2y = 120 - 150
- 0.1y = -30
y = -30/0.1
y = 300
Solving for x
x = 500 - y
x = 500 - 300
x = 200
Hence,
The number of grams of
30% smarties = x = 200 grams
20% smarties = y = 300 grams
Therefore:
the mass of the 30% mix is required to make a 500 gram mixture that will have 24% Smarties by mass is 200 grams
64/100 = 32/50 = 16/25
Trick: try dividing by 2 and continue
until you find the lowest terms.
Answer:
Step-by-step explanation:
Given
Required
Write as exponential function
An exponential function is represented as:
Apply law of indices
<em>The above represents the exponential function</em>
Note: I assume that the 3rd step in the sequence is "c+100=200", otherwise there is no clear answer to the question.
Answer:
e + 10000 = 20000
Step-by-step explanation:
At each step, we see that every explicit number in the equation is multiplied by 10. In fact, the first equation is
a + 1 = 2
Then:
1 is multiplied by 10, becoming 10
2 is multiplied by 10, becoming 20
So the next equation is
b + 10 = 20
And so on;
the last equation we have is
d + 1000 = 2000
So to obtain the following equation, we have to multiply both numbers by 10:
And we get
e + 10000 = 20000
Answer:
A,C,D... I think.
Step-by-step explanation:
Polynomials have several terms