If three pencils cost total of 75cents, how much would six pencils

1) A cyclist travels a distance of 90 miles in 5 hours. What

Nostrana [21]

Answer:

Step-by-step explanation: Speed is distance an object travelled per unit time.

It is represented by letter v and can assume various units.

1) $v=\frac{distance}{time}=\frac{d}{t}$

$v=\frac{90}{5}$

v = 18 miles per hour

Her average speed is 18 mph.

2) Rearraging formula for distance:

d = v.t

d = 70 * 4

d = 280 miles

You would travel 280 miles.

3) $v=\frac{d}{t}$

$v=\frac{315}{6}$

v = 52.5 mph

My average speed is 52.5 mph.

4) Rearranging formula to determine time:

$t=\frac{d}{v}$

$t=\frac{210}{90}$

t = 2.34 hours

It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.

5) The unit change but the way of calculating time is the same.

$t=\frac{2000}{4}$

t = 500 s

or t = 8.34 minutes

It will take, for an athlete to run 2000m, 8.34 minutes.

6) a) All units must match, so for a speed in mph:

45 minutes is 0.75 hours. Total time is 8.75 hours.

$v=\frac{420}{8.75}$

v = 560 mph

The average speed is 560 mph.

b) $t=\frac{d}{v}$

$t=\frac{420}{63}$

t = 6.67 hours

Sam will take 6.67 hours to covered the distance.

4 0

2 years ago

Need help on 15 and 16 PLEASEE!!!

melisa1 [442]

Answer:

Part 15) The next three terms are 5/8,3/4 and 7/8

Part 16) The 37th term is -35.5

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and this constant is called the common difference (d)

Part 15) Find the next three terms of the arithmetic sequence

$\frac{1}{8},\frac{1}{4},\frac{3}{8},\frac{1}{2},...$

so

$a1=1/8\\ a2=1/4\\ a3=3/8\\ a4=1/2\\ a2-a1=1/4-1/8=1/8\\ a3-a2=3/8-1/4=1/8\\ a4=a3=1/2-3/8=1/8$

The common difference is equal to

d=1/8

Find the next three terms of the arithmetic sequence

Find a5

$a5=a4+d$ -----> $a5=1/2+1/8=5/8$

Find a6

$a6=a5+d$ -----> $a6=5/8+1/8=3/4$

Find a7

$a7=a6+d$ -----> $a7=3/4+1/8=7/8$

therefore

The next three terms are

5/8,3/4 and 7/8

Part 16) what is the 37th term of the arithmetic sequence

$4.1,3,1.9,0.8,...?$

so

$a1=4.1\\ a2=3\\ a3=1.9\\ a4=0.8$

$a2-a1=3-4.1=-1.1\\ a3-a2=1.9-3=-1.1\\ a4=a3=0.8-1.9=-1.1$

The common difference is equal to

d=-1.1

We can write an Arithmetic Sequence as a rule

$an=a1+d(n-1)$

substitute the values

$an=4.1-1.1(n-1)$

For n=37

substitute

$a37=4.1-1.1(37-1)$

$a37=4.1-1.1(36)$

$a37=-35.5$

4 0

2 years ago

999x85 i need help getting the answers for this question

fenix001 [56]

the answer for this is 84915

3 0

2 years ago

Tim has a large collection of books. The number of paperback books he own is 3 times less than 4 times the amount of hardcover b

SSSSS [86.1K]

Answer:

Tim has 90 hardcover books

7 0

2 years ago

Read 2 more answers

A study claims that the combination of vitamin C with vitamin E is more effective for preventing the flu than vitamin C alone. I

victus00 [196]

1) In this study, the control group is the first group of 310 subjects that were instructed to take only 600 mg daily of vitamin C. (Option C; that is, group 1).

2) The study is not Blind (Option C).

In an experimental setup to test a theory, A control group is the set of experimental participants that the theory to be tested isn't applied upon.

In the case of testing a new treatment, the control group is the group that the new treatment isn't administered.

For this question, the experiment was set up to test the effectiveness of a combination of vitamin A and vitamin E in treating flu cases rather than using vitamin C alone. Group A is the only group that only the old treatment alone is applied to; group 1 participants received no dosage of the new combination of treatments to be tested involving vitamins A and E, unlike the two other groups.

It is obvious now why the experimental participants of group 1 are the control group.

2) A blind experiment/study is one in which the participants don't know which group they belong to, whether they are in the control group or the other experimental group. Like in this case, if this was a blind study, the participants wouldn't know which group they belonged to or which treatment is administered to them.

A double-blind experiment/study is one in which both the conductors of the experiment and the participants in the experiment wouldn't know which group any participant is in. The conductors wouldn't know which participants were in the control or treatment group and the participants too wouldn't have an idea whether they are in the control or treatment group.

To learn more about the vitamin visit: brainly.com/question/24324739

#SPJ4

3 0

10 months ago