Answer:
5/9
Step-by-step explanation:
Let's define:
The following three equations are established from the question:
sw + j + sk = 120
sw/j = 8/3
j/sk = 3/4 or sk/j = 4/3
Dividing the first equation by j, we get:
sw/j + j/j + sk/j = 120/j
8/3 + 1 + 4/3 = 120/j
5 = 120/j
j = 120/5 = 24
sw = 24*8/3 = 64
sk = 24*4/3 = 32
After the replacement the new number of jeans and skirts are:
j' = 24 - 4 = 20
sk' = 32 + 4 = 36
the new ratio of jeans to skirts is:
j'/sk' = 20/36 = 5/9
Answer:
16.25 mL
Step-by-step explanation:
Since we are mixing from the syrup in the inventory, we can say that the syrup in the inventory must be equal to that in the final solution. Thus, we will use the dilution equation to solve for the Initial volume;
Dilution equation is;
V₁C₁ = V₂C₂
Where;
V₁ is initial volume
C₁ is initial concentration or initial molarity
V₂ is final volume
C₂ is final concentration of final molarity
We are given;
C₁ = 80% = 0.8
C₂ = 60% = 0.6
V₂ = 65 mL
Making V₁ the subject in the dilution equation, we have;
V₁ = (V₂C₂)/C₁
V₁ = (65 × 0.6)/0.8
V₁ = 48.75 mL of inventory syrup
Since we have 48.75 mL of inventory syrup and the dilute solution is 65 ml, then the volume of soda solution required = 65mL - 48.75 mL = 16.25 mL
Solution
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Define the converse of a statement
The converse of a statement is formed by switching the hypothesis and the conclusion.
STEP 2: break down the given statements
Hypothesis: If M is the midpoint of line segment PQ,
Conclusion: line segment PM is congruent to line segment QM
STEP 3: Switch the two statements
Hence, the answer is given as:
If line segment PM is congruent to line segment QM, then M is the midpoint of line segment PQ,
Answer:
Option B.
Step-by-step explanation:
If a quadratic equation is defined as
, the by quadratic formula

Consider the given equation is

We need to find the value of x.
Add 96 on both sides.


Here, a=1, b=14 and c=113. Using quadratic formula we get





The value of x are x=-7 + 8i and x=-7 - 8i.
Therefore, the correct option is B.
Your answer would be 3/4 (three quarters).
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This can be simplified even further because both the numerator (6) and the denominator (8) can be divided by 2.
So-- 6 divided by 2 would be <u>3</u>, and 8 divided by 2 would be <u>4</u>. 3/4 cannot be simplified even further so this would be your final answer.
I hope this helped you out a bit :]