Answer:
The number of vials of type A insulin sold were _<u>21</u>__ and the number of vials of type B insulin sold were __<u>29</u>__.
Step-by-step explanation:
Let a = number of type A vials.
Let b = number of type B vials.
38.85a + 30.34b = 1695.71
a + b = 50
38.85a + 30.34b = 1695.71
(+) -38.85a - 38.85b = -1942.50
---------------------------------------------------
-8.51b = -246.79
b = 29
a + b = 50
a + 29 = 50
a = 21
Answer: The number of vials of type A insulin sold were _<u>21</u>__ and the number of vials of type B insulin sold were __<u>29</u>__.
Answer:
12/13, or answer choice B
Step-by-step explanation:
Ok first lets find the lengths of this triangle. We know 2 lengths already, 5 and 12. By using the pythagorean theorem, a^2+b^2=c^2, we can figure out that the third side is 13 units long.
Math:
5^2+12^2=169
25+144=169
And the square root of 169 is 13, meaning that the hypotenuse of the right triangle is 13.
To remember what SIN TAN and COS mean, you can use this helpful phrase: SOH CAH TOA
SOH: It means that SIN is OPPOSITE OVER HYPOTENUSE
CAH: it means that COS is ADJACENT OVER HYPOTENUSE
TOA: It means that TAN is OPPOSITE OVER ADJACENT
because it asks for SIN B, we need to do OPPOSITE OVER HYPOTENUSE.
Because the side opposite to angle B is 12 units, and the hypotenuse is 13 units, the answer is 12 over 13 units, or 12/13.
I hope my answer helped!
If this helped you, please vote brainliest. Thanks!
Answer:
y = -4/5x - 4
Step-by-step explanation:
y - y1 = m(x-x1)
4x + 5y = 20 ( subtract 4x on both sides)
5y = -4x + 20 (divide by 5 on each side)
y = -4/5x + 4
So we know one point is (0,4) y-intercept
now plug in (0,4)
y - 4 = -4/5(x-0) (Distribute -4/5 to x - 0)
y - 4 = -4/5x (now add 4 on each side)
y = -4/5x - 4
Answer:
ON = KJ
Step-by-step explanation:
JKL = NOP
We know the angles match
<J = <N
<K = <O
< L = <P
And we know
JK = NO
KL = OP
JL = NP
We are looking for ON = KJ
Make the whole number as an improper fraction. example, 2 7/12 would be 31/12 and then you can multiply 8/1 x 31/12