Let f be amount of 43% and s be amount of 16%...
s+f=90, f=90-s
(.16s+.43f)/90=.25 using f found above we get:
(.16s+.43(90-s))/90=.25
.16s+38.7-.43s=22.5
-.27s=-16.2
s=60, and since f=90-s, f=30
So the chemist will need to mix 60ml of 16% solution with 30ml of 43% solution to create 90ml of a 25% solution.
First you need to multiply 52 x 40 = 2080
then you need to divide 2080 from 60,000.
The answer will be 60000/2080 is approximately $28.85
Answer:
y = -3
Step-by-step explanation:
{y = x/2 - 4
y = 1 - 2 x
Substitute y = x/2 - 4 into the second equation:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
In the second equation, look to solve for x:
{y = x/2 - 4
x/2 - 4 = 1 - 2 x
Add 2 x + 4 to both sides:
{y = x/2 - 4
(5 x)/2 = 5
Multiply both sides by 2/5:
{y = x/2 - 4
x = 2
Substitute x = 2 into the first equation:
{y = -3
x = 2
Collect results in alphabetical order:
Answer:
{x = 2
y = -3
I believe
30% is bigger than

.
To find the answer, you'd have to convert both the fraction and the percent into decimal form to see which one is truly bigger. Converting the percent is fairly easy. 30% would become 0.30 is decimal form. To find the fraction in decimal form, you'd have to divide the numerator by the denominator, which would be
4 ÷ 15, which makes :
2.6666666666666666666666667.
Now you compare easily. Which one is bigger?
2.666666666666666666666667 or
0.30?
0.30 is bigger. So 30% is bigger out of both of them.
Both triangles that are given (with right angles) lie in plane m, proving that AC is perpendicular to plane m. As angle acd is from a triangle that shares the common perpendicular, it too is a right angle