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taurus [48]
3 years ago
5

What what is the date of the snow on Cherry Street after three hours?

Mathematics
1 answer:
Alex73 [517]3 years ago
6 0

We are given that the initial depth of snow is 10 cm

while the rate of melting is 1/3 cm per hour. So the melted ice after 3 hours

is:


melted = (1/3 cm/hr) * 3 hours = 1 cm


 


Hence the depth left is:


depth = 10 cm – 1 cm = 9 cm


 


Answer:


9 cm


Read more on Brainly.com - brainly.com/question/5454147#readmore

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Doug lives 7. Block away from his school . Each block is about 265 feet long. What is total round-trip dostance,in miles that Do
olga_2 [115]

Answer:

B : 0.7

Step-by-step explanation:

Given:

Doug lives 7. Block away from his school.

Each block is about 265 feet long.

Question asked:

What is total round-trip distance,in miles that Doug walks to and from school each day ?

Solution:

Each block is about = 265 feet

7 Block = 265\times7 = 1855 \ feet

As he lives 7 block away from his school that means his round trip distance is,

7 block ( travel during going to school ) + 7 block ( when return from school )

<em>Therefore, his total round trip is 14 block, means 1855 feet + 1855 feet = 3710 feet.</em>

Now, we have to convert it into miles as here asked: (unitary method)

5280 feet = 1 mile

1 feet = \frac{1}{5280}

3710 feet = \frac{1}{5280}\times3710

               = \frac{3710}{5280} = 0.7 \ miles

Thus, total round-trip distance,in miles that Doug walks to and from school each day is 0.7 miles.

5 0
3 years ago
Can you explain step by step for #15 and #16 I have a test on this tomorrow
RUDIKE [14]

Answer:

15.

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. 10 ml of 20% saline and 40 ml of 10% saline

Step-by-step explanation:

A chemist takes x ml of 20% saline and y ml of 10% saline. In total, he takes

x + y ml that is 50 ml, so

x + y = 50.

There are  0.2x ml of salt in x ml of 20% saline and 0.1y ml of salt in 10% saline. There are 0.12\cdot 50=6 ml of salt in 50 ml of 12% saline. Thus,

0.2x+0.1y=6

15. We get the system of two equations:

\left\{\begin{array}{l}x+y=50\\0.2x+0.1y=6\end{array}\right.

16. Solve this system. From the first equation:

x=50-y

Substitute it into the second equation:

0.2(50-y)+0.1y=6\\ \\10-0.2y+0.1y=6\\ \\-0.1y=6-10\\ \\-0.1y=-4\\ \\y=40\\ \\x=50-y=50-40=10

7 0
3 years ago
1. COST Mr. Rivera wants to purchase a riding lawn
antiseptic1488 [7]

Answer:

p(x) = 0.85x

t(x) = 1.065x

(t o p)(x) = 0.9x

$2700

Step-by-step explanation:

If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be

p(x) = x(1 - \frac{15}{100}) = 0.85x

where x is the marked price.

Now, the function that gives the total cost with sales tax will be given by

t(x) = x(1 + \frac{6.5}{100}) = 1.065x

where x is the discounted price.

Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by

(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)

where x is the marked price.

If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),

(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)

8 0
4 years ago
Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from​ B, a distance o
g100num [7]

Answer:

The value  is  k =109.6 \ miles

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

   The distance from city A to B is   AB =  467.3 miles

   The bearing from B to  C is  \theta_{BC} =  N 28.7E

   The bearing from B to  A is  \theta_{BA} =  N 60.7E

   The  bearing from A to  B is   \theta_{AB} =  S60.7W

    The  bearing from A to  C is   \theta_{AC} =  S79.1W

Generally from the diagram

     \theta_A  =  180 - 60.7 -79.1

=>  \theta_A  =  40.2 ^o

Also

     \theta_B  =  32^o

and  

      \theta_C  =  180 - (\theta_A  +\theta_B )

=>   \theta_C  =  180 - (40.2  + 32 )

=>   \theta_C  =  107.8 ^o

Generally according to Sine Rule

     \frac{BC}{sin (\theta_A)}  = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}

=>   \frac{BC}{sin (40.2)}  = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}    

So

     \frac{BC}{sin (40.2)}  = \frac{467.3 }{sin (107.8)}

=>  BC = 316.8 \ miles

Also  

    \frac{CA}{sin (32)} =  \frac{467.3 }{sin (107.8)}

    CA = 260 .1 \ miles

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct​ flight is mathematically represented as

      k = [CA +BC]  - AB

=>     k = [260 .1 +316.8]- 467.3

=>  k =109.6 \ miles

4 0
3 years ago
Find the Equation of a line that has a slope of 5 and passes through ( 2, 8 ). Detailed answers would be appreciated.
Sophie [7]
Y = 5x+8<slope intercept 
4 0
3 years ago
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