A town has accumulated 4 inches of snow, and the snow depth is increasing by 6 inches every hour. A nearby town has accumulated 10 inches, and the depth is increasing by 3 inches every hour. In about how many hours will the snowfall of the towns be equal?

Answers

Answer 1

9514 1404 393

Answer:

  2 hours

Step-by-step explanation:

The initial difference in depth is 10-4 = 6 inches. The difference in snowfall rates is 6-3 = 3 inches per hour.

At that rate, the difference in depth will be made up in ...

  (6 in)/(3 in/h) = 2 h

In 2 hours the snowfall in the two towns will be equal.

_____

You could write equations for depth, then equate them.

  d1 = 4 +6h

  d2 = 10 +3h

  d1 = d2 . . . . . . . . . . for some value of h the depths will be equal

  4 +6h = 10 +3h

  h(6 -3) = 10 -4 . . . . . subtract 3h+4 from both sides

  h = 6/3 = 2

Snowfall will be equal in 2 hours.


Related Questions

What are two different ways of saying "find the
solution"?

Answers

Answer:

find the difference.   find the sum

Step-by-step explanation:

This graph shows the solution to which inequality???

Answers

Answer:

B. y > (4/3)x - 2

Step-by-step explanation:

The dotted line means that the answer WILL NOT include the line itself, just the space above it. Since the shaded area is above the line, it must be greater than the line.

$30 for 2 1/2 hours of work

Answers

Answer:

$75

Step-by-step explanation:

30*2.5 = 75

18. The price of a pair of shoes was $65. Then, the price was reduced to $52..
Find the percent decrease in the price of the shoes.
(a) 30%
(b) 13% (c) 5%
(d) 25%
(e) none of these
Please show the work

Answers

Answer:

13.

Step-by-step explanation:

65-52=13

13%
65- 52=13 is your answer

Who can guess what time it is for me

Answers

I’ll try it don’t know if I will get it right

Answer:

6:29

Step-by-step explanation:

Evaluate the expression.62−4÷2 62−4÷2

Answers

The answer to that is 10,000

Answer: 8118/131 decimal form -65

Step-by-step explanation: this part right here 2 62= 0.032

so 62-4/0.032-4/2= -65

sorry it took so long my pc is very laggy btw i was letting the dogs out my apologies

what are -2 times -7?
what is -2+-7?

Answers

-2(-7)= 14 a negative times a negative = a postitve

-2+(-7)= -9
14 and -9 ! just did these questions too:)

in January Mr Timms class read 20 books in February his class read 15 books
what is the percent increase or decrease in the number of books they read

Answers

Answer:

5?

Step-by-step explanation:

Can someone answer this for me?

Answers

Answer:

D 26

Step-by-step explanation:

154+154=308

308-360=52

52 divided by 2

=26

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

I'm not sure if my way of doing it is the way your teacher wants it solved but I would do...

[tex]150+150+x=360[/tex]

so now we just have to solve the equation...

[tex]308+x=360\\x=52[/tex]

ok and now before you judge me that still isn't the answer we still have to divide the 52 by 2 because 52 is the sum of both the smaller angles, so you'll get...26°

choice D

Verizon charges $700 for an iPhone 12 and has a monthly service fee of $50. AT&T charges $650 for an iPhone 12 and has a monthly service fee of $60. After how many months will the two costs be the
same?

Answers

Answer:

5 months

Step-by-step explanation:

700 + 50x = 650 + 60x

50 = 10x

5 = x

The number of fish in a lake triples every 5 years. is It linear or exponential

Answers

Answer:

This would be linear.

Step-by-step explanation:

Linear would be multiplying by a number.

Exponential would be multiplying to a power.

PLEASE HELPPP please

Answers

Answer: -30x⁵y⁷

Step-by-step explanation:

When multiplying exponents, you add them.

Distribute the -5x³ and y² to the terms inside of the parentheses to simplify:

-30x⁵y⁷

Hope this helps!

when multiplying variables that are the same but have different exponents, just add the exponents together (ex: x^2*x^5 = x^7)

now that we know that, just multiply everything by it’s like term - coefficient by coefficient, variable by variable

so: (-5*6)(x^3*x^2)(y^5*y^2) = (-30)(x^5)(y^7)

now just combine them: -30x^5y^7

You started the day with a certain amount of money. You lost half of it. Then you lost an additional $100. Afterwards, you were given $5. Then you found $30. Afterwards, you lost half of your money again. You then lost another $8. You then gave away $7. You ended the day with $30. How much did you start with?​

Answers

Answer:

$310

Step-by-step explanation:

starting backwards:

30+7=3737+8=4545*2=9090-30=6060-5=5555+100=155155*2=310Answer is $310

Answer:

$310

Step-by-step explanation:

Which graph shows the solution to the inequality −2(2x+3)≤26?
pls help

Answers

Answer:

the answer is c

Step-by-step explanation:

Which describes the reflection of the figure?
A) reflection over the x-axis
B) reflection over the y-axis
C) reflection over the line y=3
D) reflection over the line y=-3

Answers

Answer:

reflection over the x axis

Step-by-step explanation:

always remember reflection over x-axis values of y will change reflection over y axis the values of x will change

A rain gauge is accurate within 0.5 mm of the true rain height. One Sunday
afternoon, it reads a height of 60mm. Formulate an absolute value equation, where
r is the true rain height, that can help you figure out the least rain height possible
and the greatest rain height possible.

Answers

Answer: 59.5 ≤ r ≤ 60.5

Step-by-step explanation:

Given that :

Accuracy range = ±0.5 of true value

True height of rain (r) = 60mm

Absolute value equation to find the least and greatest height if rain possible ;

|r| = 0.5

To remove the absolute value sign ;

|r| ± 0.5

r = 60mm

60 - 0.5 ≤ r ≤ 60 + 0.5

59.5mm ≤ r ≤ 60.5mm

Hence,

Greatest height possible = 60.5mm

Least height possible = 59.5 mm

Eric is a lifeguard at his community pool. Before working, he likes to swim laps to exercise. Eric started by swimming 12 laps and increases the number of laps he swims by 3 laps each week. - Identify the slope modeled by the linear relationship. Explain what the slope means in context of the problem. - Identify the y-intercept modeled by the linear relationship. Explain what the y-intercept means in context of the problem.

Answers

Answer:

Step-by-step explanation:

Eric started by swimming laps = 12

And increases number of laps each week = 3 laps

If Eric spends x week for the swimming, linear equation representing the number of laps 'y' after 'x' weeks will be,

y = 12 + 3x

Slope of the equation when graphed = 3

y - intercept of the equation = 12

Therefore, Slope of the equation represents the increase in laps per week.

And y-intercept represents the number of laps at the starting.

Jay bought a painting on sale for 45% off the original price, for $27. What was the price of the painting before the sale?

Answers

Answer:

 0.55x = $27

Step-by-step explanation:

Let the price of the painting = x

x - 45% of x = $27

    x - 0.45x = $27

         0.55x = $27

Divide both sides by 0.55

 0.55x/0.55 = $27/0.55

                  x = $49.09

How do you write something in slope intercept form?

Answers

Answer:

Slope-intercept form is y=mx+b. You find the slope of the line and you plug that in for m. Then you find the y-intercept, which is where the line crosses the y-axis, and plug that in for b.

Step-by-step explanation:

LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?

Answers

Answer:

[tex]LN = 55[/tex]

Step-by-step explanation:

Given

[tex]LN = 12w + 7[/tex]

[tex]LP = 15w - 5[/tex]

Required

Determine LN

Since LM is a bisector, then we have:

[tex]LP = LN[/tex] (See attachment for illustration)

[tex]15w - 5 = 12w + 7[/tex]

Collect Like Terms

[tex]15w - 12w = 5 +7[/tex]

[tex]3w = 12[/tex]

Solve for w

[tex]w = 12/3[/tex]

[tex]w = 4[/tex]

LN is calculated as thus:

[tex]LN = 12w + 7[/tex]

Substitute 4 for w

[tex]LN = 12 * 4 + 7[/tex]

[tex]LN = 48 + 7[/tex]

[tex]LN = 55[/tex]

Libby bought three shirts that cost $6.79, $11.08, and $8.95. How much did all three shirts cost

Answers

6.79+11.08+8.95=26.82

Answer:

$26.82

Step-by-step explanation:

It's just simple addition really. You start with adding 6.79 and 11.08 to get 17.87 and then add 8.95 to 17.87 to get 26.82. Hope this helps.

Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of mike and Randy’s age

Answers

Answer:

40

Step-by-step explanation:

i mark as brainliest ​

Answers

Answer:

-6.75

Step-by-step explanation:

Answer:

The answer is D. -7.25

PLEASE HELP THERE ARE TWO PARTS!!

The graph shows the relationship between the United States dollar and
the euro, the currency of the European Union, in December 2011. Part A:
What is the constant of proportionality shown in the graph? *
Exchange Rate (December 6, 2011)
VA
(400, 300)
300
Number of euros
200
(250, 187.50)
100
(120,90)
100 200 300
400
Number of US dollars
I

Answers

Answer:

The constant of proportionality of the graph is 0.75

Step-by-step explanation:

The coordinates of the points on the lines are;

(400, 300), (250, 187.5), and (120, 90)

Which can be written in a tabular form as follows;

Number of US dollars   [tex]{}[/tex]                       Number of euros

120                                 [tex]{}[/tex]                        90

250                                [tex]{}[/tex]                        187.5

400                                [tex]{}[/tex]                        300

Given that the graph is a straight line graph, we can represent the graph with the straight line equation, y = m·x + c

Where;

c = The y-intercept (where the graph meets the y-axis) = 0

m = The slope = The constant of proportionality

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m =\dfrac{300-90}{400-120} = \dfrac{210}{280} = 0.75[/tex]

We have, y = m·x = 0.75·x.

Therefore, the constant of proportionality of the graph = 0.75.

The cooking club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating 3 pies to the club. Each pie was then cut into 6 pieces and sold. There were a total of 72 pieces to sell. How many pies did the cooking club bake?

Answers

Answer:

9 pies

Step-by-step explanation:

From the question, we were given,

Number of pies = 3

Number of pieces cut from each pie = 6

Given total number of pieces to sell = 72

But the Number of pieces from 3 pies = 3×6

=18

so, Number of pieces the club needed to make is given = 72-18= 54

Since each pie is cut into 6 pieces

And number of extra pieces needed = 54

Then the number of pies the cooking club bake is 54/6= 9 pies

Therefore, the club bake 9pies

The equation y=1/9x relates proportional quantities x and y.

What is the value of x when y is 4?

Answers

Answer:

x=36 when y=4

Step-by-step explanation:

When y=4, you have to multiply 1/9x by 9 to make x whole and to truly figure out how much it is worth. So if 1/9x =4, you need to multiply 4x9

4x9=36

x=36

Answers

Answer:

the first rectangle im pretty sure is 32

the second one is 12.8

Step-by-step explanation:

half of 8 is 4 and half of 25.6 is 12.8

Use the bar model to add these fractions

Answers

Answer:

I don't understand the question but 5 would be close to 0 10 would be beside 5 15 will be beside 10 20 will be close to 15 30 will be next to 60

For every 8ft of cord he can make 3 chains how much does jairon need to
make 12 chains

Answers

Answer:

24 ft of cord

Step-by-step explanation:

8ft = 3 chains

16 ft = 6 chains

24 ft = 12 chains

OR

8 x 3 =24

HELP NOW PLZZZZZ HELPPPPPPPPPPPP

Answers

Answer:

y = 4/3x -11

Step-by-step explanation:

y = -3/4 x - 8

This is in slope intercept form  

y = mx+b where the slope is -3/4

We want a slope that is perpendicular

Take the negative reciprocal

-1 ( -3/4) = 4/3

The slope of the line that is perpendicular is 4/3

Using the slope intercept form of a line is

y = mx+b

y = 4/3x+b

Substituting the point into this equation

-3 = 4/3(6) +b

-3 = 8+b

Subtract 8 from each side

-3-8 = b

-11 =b

y = 4/3x -11

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