Answer:
a) 20 minutes
b) 36 km/h
c) 33.67 km
d) continuous driving without any stationary phases.
Step-by-step explanation:
by the way, speed is specified in distance per time unit. in your example as km/h. and that is how your write this.
not km/h¯¹. that would be wrong, as that would actually be km×h. but you can write e.g. km×h¯¹. that is the same as km/h.
between minutes 5 and 25 there is no progress in distance. so, for these 20 minutes the bus was stationary.
in the first 5 minutes the bus drove 7-4=3 km.
so, in 5 minutes 3 km. to determine the speed we need to calculate up to see, how many km would be have driven in a full hour (60 minutes). the same factor for the time has then to be applied also to the distance to keep the ratio unchanged.
5 × x = 60
x = 12
3 × 12 = 36
so, the speed in these first 5 minutes was 3 km/5 min.
or then in km/h : 36 km/h
between the minutes 25 and 45 the bus drove with a speed of 80km/h.
and the starting point there was at 7 km.
so, the bus drove s-7 km in 20 minutes.
as before, let's first find the scaling factor to deal with a full hour instead of only 20 minutes.
20 × x = 60
x = 3
as before : distance × scaling factor = distance for km/h
(s-7) × 3 = 80
3s - 21 = 80
3s = 101
s = 33.666666666... km
Answer:
option-A

Step-by-step explanation:
we are given
divisor is

Dividend is
=x-2
so, we can use synthetic division
so, we can write our expression as

so,
option-A
Answer: A
Step-by-step explanation:
Focus on what it is saying. It is saying that 5x IS LESS THAN OR EQUAL TO 15.
So we are looking for smaller numbers, that is, values of x, in order to make this statement true.
So on a number line we are looking for the left part shaded in.
Furthermore... notice that the sign has "or equal to". Thus the circle is going to be shaded in. The circle is not going to be open and empty. Through this we have eliminated answers B and C.
So the answer is A because— remember— the left side of the number line is shaded. It encompasses negative numbers. A negative number times 5 will definitely be less than 15.
180 - 16 - 63 = 101. The remaining angle is 101*
Hope I helped!
Answer:
True☆The diagonals are congruent.
Not always X All sides are congruent. (Only for rectangles that are also rhombus = a square!)
Not always X The diagonals of a rectangle are perpendicular to each other. (Counterexample: draw a really long rectangle with a tiny, tiny width...the x made by the diagonals is clearly not perpendicular!)
True☆ The opposite sides are parallel. (Bc rectangles are parallelograms, part of the definition)
True☆All angles are congruent. (All four angles are right angles--part of the definition)