MATHEMATICS COLLEGE

The ratios a:b and b:c are equivalent to one anotherSelect all the statements that must be true

1. a=c

2. b/a = c/b

3. b-a = c-b

4. a
5. if a=b, then b=c

Answers

Answer 1

Answer:

2 and 5

Step-by-step explanation:

We have rations:

a:b=b:c, we can write that also like

a/b=b/c. Now we know that:

axc=bxb i.e

c=bxb/a, i.e. c/b=b/a then statmen 2 is TRUE.

Statmen 1 is not tru, because if a=c than we have a:b=b:a an it is true only if b=a, but we don’t have that information.

Statmen 3: suppose that

a:b=b:c=k, where k is some number. From that we get:

a=kb and c=b/k.

So b-a=b-kb=(1-k)b

And c-b=b/k-b=(1/k-1)b, these two statmen are equal only if k=1, i,e a=b=c but we dont have that information, so 3 is not true.

4. I think it is missing something??

5. If a=b than a:b=b:b=1, so it is b:c=1, i.e b=c, statement 5 is TRUE

Answer 2

Answer:

2. b/a = c/b

5. if a=b, then b=c

Related Questions

Use the product rule to calculate the derivatives of ( ax² + bx + c ) ( cx + d )
Find the slope of the line passing through each of the following pairs of points. (−3, 9), (−3, −5
One cell phone company offers a plan that costs $25.99 and includes unlimited night and weekendminutes. Another company offers a plan that costs $14.99 and charges $0.35 per minute during nightsand weekends. For what numbers of night and weekend minutes does the second company's plan costmore than the first company's plan?
Consider a specific chemical reaction represented by the equation aa + bb → cc + dd. in this equation the letters a, b, c, and d represent chemicals, and the letters a, b, c, and d represent coefficients in the balanced equation. how many possible values are there for the quantity "c/d"?
Product of 6 and 6r and the product of 8s and 4

Professors often attempt to determine if the submissions by the students are genuine or copied off the web sources. The program that performs this task is only 95 % accurate in correctly identifying a genuine submission and 80% accurate in correctly identifying copies. Based on the past statistics, 15% of the student turned in copied work. If a work is identified as a copy by the program, what is the probability that it is indeed a sample of copied work.

Answers

Answer:

0.7385 = 73.85% probability that it is indeed a sample of copied work.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = (P(A \cap B))/(P(A))$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Identified as a copy

Event B: Is a copy

Probability of being identified as a copy:

80% of 15%(copy)

100 - 95 = 5% of 100 - 15 = 85%(not a copy). So

$P(A) = 0.8*0.15 + 0.05*0.85 = 0.1625$

Probability of being identified as a copy and being a copy.

80% of 15%. So

$P(A \cap B) = 0.8*0.15 = 0.12$

What is the probability that it is indeed a sample of copied work?

$P(B|A) = (P(A \cap B))/(P(A)) = (0.12)/(0.1625) = 0.7385$

0.7385 = 73.85% probability that it is indeed a sample of copied work.

14. Taxi company A charges $2 per ride plus $0.25 per mile. Taxi company B charges $3 per ride plus $0.15 per mile. Which equation could be used to find the number of miles for which both companies cost the same for one ride? O A.2.25m = 3.15m B. 2 + 0.15m = 3 + 0.25m
C.2m +0.25 = 3m +0.15
D.2 + 0.25m = 3 + 0.15m

Answers

Answer:

So i beiieve the answer is B

Step-by-step explanation:

Because if you thinl about the ride for A is $2 plus 25 cents so its 2 plus 25m thats per mile and b 3 dollars and 15 so u keep adding up until u get the same from both equations if u need further explanation let me know

Amy spent $22 on a magazine and fourerasers. If the magazine cost $6, then how
much was each eraser?

Answers

Answer:

Step-by-step explanation:

First, 22-6=16, this isolates how much she spent on erasers alone

Then, 16/4=4, if she bought 4 erasers each one would have cost $4

Step-by-step explanation:

5 dollars and 5 cents.

10 POINTS Solve for x:
2x-7=5x+13

x = -20/3
x = -7
x = 22/3

Answers

The answer is X= -20/3 :)

Subtract 2x to both sides and subtract 13 from both sides

-20 = 3x

Divide 3 from both sides to isolate x

-20/3=x

First do 5x - 2x and you get 3x.
Now the equation is -7 = 3x + 13.
Next do -7 - 13 and you get -20.
The final step is to do -20 divided by 3 and you get -20/3.

The answer is x = -20/3

WRITE A LINEAR EQUATION FOR THE TABLE BELOW. A) WHAT IS THE Y-INTERCEPT OF THIS TABLE? WHAT PATTERN IN
THE TABLE CAN YOU USE TO HELP YOU FIND THE Y-INTERCEPT?

B) WHATS THE SLOPE OF THIS TABLE? USE THE SLOPE FORMULA.

C) WHAT IS THE EQUATION OF THIS TABLE? USE YOUR SLOPE (M) AND Y-INTERCEPT (B) TO WRITE THE EQUATION IN Y=MX+B FORM.