Answer:
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1\
Step-by-step explanation:
An equation is formed of two equal expressions. The correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the total number of pages in the shorter book be represented by x, and the total number of pages in the longer book be represented by y.
Given the total number of pages of the shorter book and the longer book is 557. Therefore, the equation can be written as,
x+y =557
Also, Scott reads Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book, which is equal to 407 pages. Therefore,
(3/5)x + (5/6)y = 407
Hence, the correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.
Learn more about Equation:
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Here in this question, we are to solve for x and get the measure of Angle A
Mathematically,
∠A = ∠B
The reason for this is because both are corresponding angles and corresponding angles are equal.
Since they are equal in value, we can equate the given expressions for each of the two angles
Thus;
7x + 40 = 3x + 112
Let us collect like terms
7x-3x = 112 - 40
4x = 72
x = 72/4
x = 18
But the question asks to get the value of ∠A
From the questionn, we are told that ∠A = 7x + 40
To get the value of ∠A, we need to substitute x
∠A = 7(18) + 40
∠A = 126 + 40
∠A = 166
∠A = 166 and x = 18
Since 1 kilometer is equal to 1000 meters, Derek road 7 kilometers everyday. For a all 3 days, you would do 7 x 3 which is 21. In 3 days, Derek road 21 kilometers.
Answer:
Option C.
Step-by-step explanation:
Kurt started for the school at 07:35 and ends at 08:25.
Time taken by Kurt to reach the school
= 08:25 - 07:35
= (07 hours + 85 minutes) - (07 hours + 35 minutes) [Since 08 hours + 25 minutes = 07 hours + (60 + 25)minutes]
= 85 minutes - 35 minutes
= 50 minutes
Time taken by Drew to reach the school
= 08:30 - 07:55
= (07 hours + 90 minutes) - (07 hours + 55 minutes) [Since 08 hours + 30 minutes = 07 hours + (60 + 30)minutes]
= 90 minutes - 55 minutes
= 35 minutes
Difference in the time taken by Kurt and Drew = 50 - 35 = 15 minutes.
Therefore, Drew is 15 minutes faster than Kurt.
Option C. is the answer.
