All categories

3 years ago

Only the correct answer please

Mathematics

2 answers:

11111nata11111 [884]3 years ago

3 0

A. because he had ridden less than 140 so 5s >140

denis-greek [22]3 years ago

3 0

He has ridden LESS than 140km. He has ridden for 5 hours.

d=vt, distance equals velocity times time.

5s=d

5s=140 but remember he has ridden LESS than 140 km so:

5s<140

The answer is D.

note:

From the above it follows that s<140/5, s<28km/h

s cannot be greater than or equal to 28 because:

5*28=140 and we are told that he rode LESS than 140km.

Just clarifying why 5s>140 is wrong.

You might be interested in

I got disconnected from my tutor, can't reconnect. need an explanation

kherson [118]

The absolute value function |x| always returns a non-negative number. It takes any number x and returns x if it's already non-negative, or -x if it is negative in order to make it positive.

$|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x$

For the equation

-3 + 4 |2x - 5| = 14

rearrange terms to get

|2x - 5| = 17/4

Now,

• if 2x - 5 ≥ 0, then |2x - 5| = 2x - 5. Then

2x - 5 = 17/4

• and if instead 2x - 5 < 0, then |2x - 5| = -(2x - 5), so that

-(2x - 5) = 17/4, or

2x - 5 = -17/4

In the first case,

2x - 5 = 17/4

2x = 17/4 + 5 = 37/4

x = 37/8

In the second case,

2x - 5 = -17/4

2x = -17/4 + 5 = 3/4

x = 3/8

5 0

2 years ago

Hot dogs are sold in packages of 8, and hot dog buns are sold in packages of 12. What's the smallest number of each that could b

PIT_PIT [208]

24 is the answer 8x3 = 24 12x2 = 24 8*3 = 12*2

7 0

3 years ago

A junk box in your room contains fourteen old batteries, seven of which are totally dead. You start picking batteries one at a

MrMuchimi

Answer:

A junk box in your room contains fourteen old batteries, seven of which are totally dead.

So, number of good batteries = $14-7=7$

a) The first two you choose are both good.

There is a 7/14 chance that we will pick a good battery.

Now there are 13 batteries left and out of that there are only 6 good ones remaining, so this becomes 6/13.

So, combined probability is = $\frac{7}{14}\times \frac{6}{13}$

= 0.23

b) At least one of the first three works.

$\frac{7}{14} \times \frac{6}{13} \times \frac{5}{12} =0.096$

And at least one is good battery, we get : $1-0.096=0.904$

c) The first four you pick all work.

There is a probability of 7/14 for the first one to work, 6/13 for the second, 5/12 for the third and 4/11 when the fourth is good, combined we get by multiplying all:

$\frac{7}{14}\times \frac{6}{13}\times \frac{5}{12}\times \frac{4}{11}=0.0344$

d) You have to pick five batteries to find one that works.

This condition means that we pick 4 bad batteries and 1 good battery.

The probability of picking 4 bad batteries is -

$\frac{7}{14}\times \frac{6}{13}\times \frac{5}{12}\times \frac{4}{11}=0.0344$

Since there are 7 good batteries remaining in 10 batteries so we will multiply 7/10 in 0.0344 to know the fifth one that finally works.

This becomes = $0.0344\times0.7=0.024$

5 0

3 years ago

How do you simplify 2i<6u?

Stels [109]

2(i<3u) is the answer to your problem

4 0

3 years ago

Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that none of t

Travka [436]

Answer:

0.395

Step-by-step explanation:

The computation of the probability that none of the three shoppers purchased electronics is shown below:

So, first we have to determine the number of shoppers without considering the purchase i.e

= Total number of shoppers - electronics

where,

Total number of shoppers = Offices supplies + electronics + clothing + beauty supplies - electronics

= 18 + 25 + 40 + 12 - 25

= 95 - 25

= 70

Now the probability is

= $\frac{70}{95}\times\frac{69}{94}\times\frac{68}{93}$

= 0.395

5 0

3 years ago