(50 - x) is the amount of the 15% Alcohol solution to use. If you solve for x first.
<span>0.10x + 0.15(50 – x) = 0.12(50)
0.10x - 0.15x + 7.5 = 6
-0.05x + 7.5 = 6
7.5 - 6 = 0.05x
1.5 = 0.05x
1.5/0.05 = x
30 mL = x
Then the 15% solution: 50 - 30 = 20 mL
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A,B,C,D i.e. all statements are true!
<u>Step-by-step explanation:</u>
According to question, Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 per week to cover her expenses. The inequality for above scenario will be :
where, x is number of necklaces & y is number of bangles.
A.
Lynn will meet her goal if she sells 12 bangles and 12 necklaces. i.e. x=12 and y=12 , putting values inequality : 
which follows inequality . True statement!
B.
Lynn will meet her goal if she sells 20 bangles and 6 necklaces.
putting values inequality : 
which follows inequality . True statement!
C.
Lynn will meet her goal if she sells 6 bangles and 12 necklaces. putting values inequality : 
, which follows inequality . True statement!
D.
Lynn will meet her goal if she sells 2 bangles and 18 necklaces.putting values inequality : 
, which follows inequality . True statement!
Answer:
Options B, C and D
Step-by-step explanation:
Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.
In other words, pair of supplementary angles is the linear pair.
From the figure attached,
Pair of the linear angles are,
1). ∠BAC and ∠CAD
2). ∠BAE and ∠EAD
3). ∠EAD and ∠DAC
Therefore, Options B, C and D are correct.
First let's write out the inequality before choosing a graph.
x apples each weighing 1/3 of a pound: 1/3x
y pounds of grapes: y
So...
1/3x + y < 5
The maximum weight is 4 pounds since the total weight of both the grapes and apples are less than 5.
In the y-axis, the first, third, and fourth graphs already exceed the capacity of 5 pounds.
So, by process of elimination, the correct graph for this problem is the second one.
Answer:
a. A relative-frequency distribution is to a variable as a ___probability_______ distribution is to a random variable. b. A relative-frequency histogram is to a variable as a _____probability_____ histogram is to a random variable.
Step-by-step explanation:
Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true. The probability of an event is usually between 0 and 1,
where 0 represent impossibility and 1 represents the chance of it occurring.
