Answer:
a) Speed of the cyclist is (2.75/0.4) = <u>6.875 miles per hour</u>.
b) It will take (5.5/6.875) = <u>0.8 hours</u> to travel 5.5 miles at this rate.
- Remember: Speed=Distance/Time
Let's go through this problem step by step while bearing in mind the concept of
PEMDAS.
Step 1:

Declaration of the expression. Nothing wrong here yet.
Step 2:

Clarise evaluated what's inside the parenthesis first - which was the right thing to do! There are no mistakes in this step.
Step 3:

In this step she subtracted first. This should not be the case! PEMDAS tells us that the exponents and division gets higher priority than subtraction. This is therefore the first mistake Clarise makes.
Step 4:

In this step Clarise evaluates the exponent. This does not violate any rules (relative to the previous expression) since PEMDAS tells us that exponents take higher priority than division.
Step 5:

(Clarise's final answer)
In Clarise's final step, she manages to get the wrong answer! Dividing 51.68 by 0.16 would give us 323. This is another mistake of Clarise.
Looking at the choices, we can now identify what mistakes Clarise made:
-She subtracted before evaluating the exponents
-She subtracted before she divided
-She divided incorrectly
Answer:
Step-by-step explanation:
1. 4x=7(x-3) Reason: Starting equation
2. 4x=7x-21 Reason: Distributive Property
3. -3x=-21 Reason: Subtracting Combining like terms
4. x=7 Reason: Division
Answer:
-2
Step-by-step explanation:
Answer:
18245
Step-by-step explanation:
We have to use L.C.M,
L.C.M(20,24,32,38)
2|20,24,32,38
2| 10 ,12 ,16 ,19
2| 5 , 6 , 8 , 19
2| 5 , 3 , 4 , 19
2| 5 , 3 , 2 , 19
L.C.M = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 19
= 18240
Now for each case remainder is 5,
So the number is 18240+5
=> 18245