Answer:
A= 320 and B = 280
Step-by-step explanation:
- Amount of sodium from first material = 0.15*A
- Amount of sodium from second material = 0.3*B
Now, if we combine the two chemicals to get a new chemical, which is 22% sodium, then the total amount of combined sodium is amount of sodium from both sources
<=> 0.15A + 0.3B = 0.22*(A+B)
<=> 0.07A - 0.08B = 0 (1)
- But we have a second equation, because we know that A + B = 600 (2)
Solve the system of two equations, (1) and (2), we have:
A= 320 and B = 280
Answer:
140 centimeters.
Step-by-step explanation:
Hello!
A 2.4 meter log is split into the ratio 7:5. Each unit part is one x-increment, so the log is split into 7 x-increments and 5 x-increments.
Find the longer length:
- 2.4 into 7:5
- 2.4 = 7x + 5x
- 2.4 = 12x
- x = 2.4/12
- x = 0.2
Now, we must find the longer length, 7x.
The longer length is 1.4 meters, but we want it in cm.
There are 100 centimeters in a meter.
- 1.4 meters = 1.4 * 100
- 1.4 meters = 140 centimeters
The longer length is 140 centimeters.
The standard conversion toolbox:
x=rcos(θ)
y=rsin(θ)
Here r=7csc(θ)
so
x=7csc(θ)*cos(θ)=7cos(θ)/sin(θ)=7cot(<span>θ)
y=7csc(</span>θ)*sin(θ)=7sin(θ)/sin(<span>θ) = 7
therefore the rectangular coordinates are (7cot(</span><span>θ), 7)</span>
C(cost)=6x+9
9 is the cost of three hot dogs
6x represents 6 tickets and their cost
Her mistake is that she did the change in x over the change in y. It should be the change in y over the change in x. So: -2-3/-2-4
