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1 year ago

Kevin paid $2.52 for 6 juice boxes. How much should Kevin expect to pay for 18 juice boxes?

Mathematics

2 answers:

adoni [48]1 year ago

8 0

Answer:

45.36

Step-by-step explanation: you multiply the cost x the amout it costs

Rus_ich [418]1 year ago

3 0

Answer:

7.56

Step-by-step explanation:

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A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

2 years ago

Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 62 miles per hour. Then, in t

Murljashka [212]

Answer:

11.3%

Step-by-step explanation:

$\%\ increase=\frac{final-initial}{initial} \times 100\%\\\%\ increase=\frac{69-62}{62} \times 100\%\\\%\ increase=\frac{7}{62} \times 100\%\\\%\ increase=11.3\%$

6 0

2 years ago

How can I solve this? 10+x = 5(1/5x + 2)

pshichka [43]

You use PEMDAS. Start by distributing the terms in the parentheses. The isolate the variables. To do that you subtract x from one side of the equation to the other side. You always do the other operation. If it is adding you subtract, if your multiplying your dividing and the other way around. Then you subtract 10 from each side. This equation has many solution because all the terms cancel out.

5 0

2 years ago

What shape will be created after the rotation?

castortr0y [4]

Can you attach a pic of the shape please?

5 0

2 years ago

Adult red wolves vary in length from 137.16 cm to 168.64 cm. Estimate the difference in length between the longest and shortest

zhannawk [14.2K]

Answer:

As per the statement:

Adult red wolves vary in length from 137.16 cm to 168.64 cm.

To find the difference in length between the longest and shortest of these wolves.

Longest length of wolves = 168.64 cm

Shortest length of wolves= 137.16 cm

Then;

$\text{Difference of the length between the longest and shortest of these wolves}$ = $\text{Length of longest wolves} -\text{Length of shortest wolves}$

Substitute the given values we have;

$\text{Difference of the length between the longest and shortest of these wolves}$ = 168.64 - 137.16 = 31.48 cm

therefore, the difference in length between the longest and shortest of these wolves is 31.48 cm

3 0

2 years ago