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2 years ago

Hike 52 miles in 3 days

Mathematics

2 answers:

kkurt [141]2 years ago

8 0

About 17.333333 miles a day

because $\frac{52}{3} =17.33333$

anyanavicka [17]2 years ago

6 0

If you are trying to find the unit rate, you can find it by dividing. you wanna find out how many miles in 1 day. To do that you know that you hike 52 miles in 3 days. 52 divided by 3 is 17.33. you will hike 17.33 miles every day.

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At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, $P_0=15$

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

$P(x)=P_0(1+r)^x$

now, we can plug values

$P(x)=15(1+0.4142)^x$

$P(x)=15(1.4142)^x$

Average rate of change between 2 years and 4 years:

we can use formula

$A_1=\frac{P(4)-P(2)}{4-2}$

now, we can plug values

$A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}$

$A_1=14.99914$

Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

Average rate of change between 6 years and 8 years:

we can use formula

$A_3=\frac{P(8)-P(6)}{8-6}$

now, we can plug values

$A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}$

$A_3=59.99425$

now, we will check each options

option-A:

we can see that

$A_3-A_2=30$

So, this is FALSE

option-B:

$A_1=\frac{1}{2}A_2$

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

$A_1=\frac{1}{2}A_2$

so, this is FALSE

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3 years ago

A bag contains 10 marbles: 2 are green, 4 are red, and 4 are blue. Carlos chooses a marble at random, and without putting it bac

Sveta_85 [38]

Step-by-step explanation:

The fraction is 4/10 * 2/9 = 4/45.

5 0

2 years ago

Read 2 more answers

there are about 1.5 grams of fat in 1 tablespoon of humans. how many grams of fat are in 2 1/2 of hummus?

guajiro [1.7K]

<span>
the answer is 3.75 I'll explain ,</span><span>here: 1.5 times 2 equals 3 now go to a different section and divide 1.5 by 2 then add the two together it will look kind of like this:</span>

6 0

3 years ago

According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. h

Alisiya [41]

The number of cruise passengers must there have been in 2017 is 26.7 million.

<h3>What is percentage?</h3>

The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Now according to the question;

Let x represent the total number for cruise passengers during 2017.

In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.

So, 106.7 % of x = 28.5

$\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}$

Multiplying both sides by 100;

$\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}$

Dividing both sides by 106.7;

$\frac{106.7 x}{106.7}=\frac{2850}{106.7}$

x = 26.7

Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.

To know more about the percentage, here

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6 0

1 year ago

Guys plz help me answer this question!!!

Semmy [17]

Awnser:

1/2 as m, and -3 as b

Step-by-step explanation:

To find the equation of any line, you use the formula: mx+b=y, where m is the slope, y is the y coordinate, b is the y intercept, and x is the x coordinate. However, it only asks for b and m.

You'll need to first find 2 points.

I chose: (6,0) and (0,-3).

The formula to find the slope is: y2-y1/x2-x1.

0-(-3)/6-0

0+3/6

3/6

1/2

Now we need to find the y intercept. However, the graph already tells you what it is. The y intercept always has to have 0 as x.

So the awnser is 1/2 as m, and -3 as b.

7 0

2 years ago