Answer:
The distance to the market is 2000 m
Step-by-step explanation:
∵ John runs to the market and comes back in 15 minutes
→ Change the min. to the sec. because the unit of his speed is m/s
∵ 1 minute = 60 seconds
∴ 15 minutes = 15 × 60 = 900 seconds
→ Assume that t1 is his time to the market and t2 is his time from
the market
∵ t1 + t2 = 15 minutes
∴ t1 + t2 = 900 ⇒ (1)
→ Assume that the distance to the market is d
∵ His speed on the way to the market is 5m/s
∵ Time = Distance ÷ Speed
∴ t1 = d ÷ 5 ⇒ (1 ÷ 5 = 0.2)
∴ t1 = 0.2d ⇒ (2)
∵ His speed on the way back is 4m/s
∴ t2 = d ÷ 4 ⇒ (1 ÷ 4 = 0.25)
∴ t2 = 0.25d ⇒ (3)
→ Substitute (2) and (3) in (1)
∵ 0.2d + 0.25d = 900
∴ 0.45d = 900
→ Divide both sides by 0.45
∴ d = 2000 m
∴ The distance to the market = 2000 m
Answer:
The diagonals bisect each other.
Step-by-step explanation:
Not all diagonals of a parallelogram are equal.
The only quadrilaterals with all four sides being congruent are rhombus and squares so parallelogram is wrong.
The diagonals of a parallelogram bisect each other.
The diagonals of a parallelogram are only perpendicular when it is a square.
Answer:
A. 4 inches
Step-by-step explanation:
Applying,
P = 2(L+W)............. Equation 1
Where P = Perimter of the rectangle, L = Length of the rectangle, W = width of the rectangle.
make W the subject of the equation
W = (P/2)-L............ Equation 2
From the question,
Given: P = 32 inches, L = 1 foot (Convert from Foot to inches), L = 12 inches
Substitute these values into equation 2
W = (32/2)-12
W = 16-12
W = 4 inches.
Hence the right option is A.
Answer: Choice A
x+3y = 14
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Explanation:
The general template for standard form is Ax+By = C, where A,B,C are integers.
This immediately rules out choices C and D, since they don't fit the format mentioned.
To see which of A or B we can eliminate or confirm, plug (x,y) coordinates from the graph into each answer choice. The ultimate goal is to get a true statement.
For example, the graph shows that (x,y) = (2,4) is on the line. Plug this into choice A to get...
x+3y = 14
2+3(4) = 14
2+12 = 14
14 = 14 this is true
So far so good. The point (2,4) is on the line x+3y = 14. Repeat those steps for (-1, 5) and you should get another true result. So that would confirm choice A is the answer. You only need a minimum of two points to define a unique line, meaning we only need to verify two points on the line. Anything more is just extra busy work.
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If we tried (2,4) with choice B, then,
5x+3y = 14
5(2)+3(4) = 14
10+12 = 14
22 = 14 which is false
This indicates (2,4) is not on the line 5x+3y = 14. We can rule out choice B because of this.
Answer:
11.8 in.
Step-by-step explanation:
