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lubasha [3.4K]
3 years ago
12

a car travels the first 15 km of the journey at an average speed 60km/h and the remaining 40 km at an average speed of 30 km/h f

ind the average speed of the whole journey
Mathematics
1 answer:
rewona [7]3 years ago
3 0

Answer:

the average speed of the whole journey is 45 km/h

Step-by-step explanation:

The computation of the average speed of the whole journey is shown below:

Average speed is

= (Speed 1 + speed 2) ÷ 2

= (60 km/h + 30 km/h) ÷ 2

= 90 km/h ÷ 2

= 45 km/h

Hence, the average speed of the whole journey is 45 km/h

We simply ignored the distance as it is not relevant for the given situation

The same would be considered

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Joseph claims that a scatterplot in which the y-values increase as the x-values increase must have a linear association. Amy cla
My name is Ann [436]

Answer: Choice C

Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.

======================================================

Explanation:

Just because the data points trend upward (as you go from left to right), it does not mean the data is linearly associated.

Consider a parabola that goes uphill, or an exponential curve that does the same. Both are nonlinear. If we have points close to or on these nonlinear curves, then we consider the scatterplot to have nonlinear association.

Also, you could have points randomly scattered about that don't fit either of those two functions, or any elementary math function your teacher has discussed so far, and yet the points could trend upward. If the points are not close to the same straight line, then we don't have linear association.

-----------------

In short, if the points all fall on the same line or close to it, then we have linear association. Otherwise, we have nonlinear association of some kind.

Joseph's claim that an increasing trend is not enough evidence to conclude the scatterplot is linear or not.

8 0
3 years ago
Kyla is hiking. She comes to this marker at a fork in the trail. Which of these gives the same distance to Cascade Falls? A 0.35
bija089 [108]

Answer:

Option B

3.5 miles

Step-by-step explanation:

Considering the picture attached, the distance to Cascade Falls is written in mixed fraction and the question wants it expressed in decimal. \frac {1}{2} is same as 1 divided by 2 which is 0.5 hence the fall is 3+0.5=3.5 miles

6 0
3 years ago
(Z-6) divided by 3 for z= 15.9
scoray [572]
Simply plug in \sf{z=15.9} into \sf{\frac{z-6}{3}}

So:

\sf{\frac{15.9-6}{3}}

Simplify that more:

\sf{\frac{9.9}{3}}

And that finally becomes 

\sf{3.3}

So when \sf{z=15.9} the answer will be \boxed{\sf{3.3}}
4 0
3 years ago
Read 2 more answers
Tennis balls with a diameter of 2.5 inches are sold in cans of three. The can is a cylinder. What is the volume of the space NOT
katrin2010 [14]
We know that
volume of a sphere=(4/3)*pi*r³------> volume of a tennis ball
for r=2.5/2-----> 1.25 in
volume of a sphere=(4/3)*pi*1.25³------> 8.18 in³
volume of 3 tennis ball=3*8.18-----> 24.54 in³

volume of a cylinder=pi*r²*h
r=1.25 in
h=2.5*3-----> 7.5 in
volume of a cylinder=pi*1.25²*7.5-----> 36.82 in³

<span>the volume of the space NOT occupied by the tennis balls=36.82-24.54
</span><span>the volume of the space NOT occupied by the tennis balls=12.28 in</span>³

the answer is
12.3 in³
8 0
3 years ago
Simplify the following expression into the form a+bi where a and b are rational numbers
hoa [83]

- 28 - 40i

note that i² = (√-1)² = - 1

expand product of factors using FOIL

= - 6 - 6i - 14i - 14i² - 20i + 36i²

= - 6 - 6i - 14i + 14 - 20i - 36

= - 28 - 40i


7 0
3 years ago
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