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

Becky created a number pattern. Her pattern began with 5, and the rule was “add 5.” Dion also created a number pattern. His pattern began with 10, and the rule was “add 10.”
Which statement is true?
a. Each term in Becky’s pattern is 5 more than the corresponding term in Dion’s pattern.

b. Each term in Dion’s pattern is 5 more than the corresponding term in Becky’s pattern.

c .Each term in Becky’s pattern is 2 times as many as the corresponding term in Dion’s pattern.

d .Each term in Dion’s pattern is 2 times as many as the corresponding term in Becky’s pattern.

Answers

Answer:

D

Step-by-step explanation:

FIRST CORRECT ANSWER GETS BRAINLIEST!
Kate is planning a trip to the beach. She estimates her average speed to graph her expected progress on the trip. Write an equation in slope-intercept form that represents the situation.




slope (m):


y-intercept (b):


equation:

Answers

Answer:

Slope = -60 miles per hour

y-intercept = 300 mi.

Equation of the line → y = -60x + 300

Step-by-step explanation:

Let the equation representing relation between the distance to beach and time taken is,

y = mx + b

Where, m = slope of the line = Average speed of Kate

y = Distance to the beach

x = time taken

b = Distance from the beach at t = 0

Slope of a line joining points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope the line joining (5, 0) and (0, 300),

Slope 'm' = [tex]\frac{300-0}{0-5}[/tex] = -60 miles per hour

y intercept 'b' = 300 mi.

So the equation will be,

y = -60x + 300

does 3(6x - 2) - 7 = 18x - 13?​

Answers

Answer:

yes

Step-by-step explanation:

distribute 3(6x-2) to get 18x-6-7= 18x-13

combine -6 and -7 to get 18x - 13 = 18x - 13

hope this helps :))

A puppy weighs 3 pounds what is the puppy's weight in ounces

Answers

Answer:

48 onces

Step-by-step explanation:

Answer:

48 ounces.

Step-by-step explanation:

Can someone please help me

Answers

Answer:

I believe it's 180 I'm pretty sure

Answer:

180 degrees

Step-by-step explanation:

If you rotate it 180 degrees to the right or left it will look exactly the same.

-1/10 divided by 1/6

Answers

[tex]-0.6[/tex]

For more help, Take a look at this chart.

Answer:

-3/5

Step-by-step explanation:

-1/10 divided by 1/6

-1/10 x 6/1

-6/10 the divided by 2

-3/5

Evaluate:
(-4) (-3)
Another easy 10 points for yall

Answers

Answer:

12

Step-by-step explanation:

tysm ily

(-4)(-3)

= 12

Easy lol

Lexi runs the snack stand at Belleview Community Pool. This morning, she withdrew $150 from the stand's bank account to buy supplies. When the stand closed this evening, she deposited $437 from the day's sales. What was the total change in the stand's bank account relative to where it started?

Answers

Answer:

Step-by-step explanation:

Let the initial money in the account be y.

Lexi withdrew $150 from the stand's bank account to buy supplies. This will be:

= y - $150

Later, she deposited $437 from the day's sales. The money in the account will now be:

= y - $150 + $437

= y + $287

The total change in the stand's bank account relative to where it started will be the initial amount + $287.

Answer:

287

Step-by-step explanation:

Expand & simplify 4(t+2)+6(t-4)

Answers

Answer:

10t - 16

Step-by-step explanation:

4(t + 2)+ 6(t - 4)

4t + 8 + 6t -24

10t - 16

Expand the first bracket: 4t + 8
Now expand the second bracket: 6t - 24
4t + 8 + 6t - 24
Add all like terms together: 10t - 16

help solve 90 please​

Answers

Answer:

c=263

Step-by-step explanation:

Which of these lines would be the steepest?
1 point
y = 2x + 9
y = 7x + 3
y = 5x - 3
y = 7

Answers

Answer:

The equation is y=mx+b in this case the b represents the y int and does not aid in detemining steepness. To determine the steepest, the value of m (or the slope) rise/run must be either the most positive number or the most positive negative. in this case you have 2/1 , 7/1. 5/1.

So y==7x+3 has the steepest (greatest value)  slope

Step-by-step explanation:

The equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest

The formula for finding the equation of a line is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

The line that will be the steepest must have the largest slope.

Looking at the equation y = 7x +3

Get the slope by comparing to have;

mx = 7x

m = 7

Since the equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest

Learn more here: https://brainly.com/question/12922257

is this a function or not pt.3

Answers

Answer:

Yes, it is a function.

Step-by-step explanation:

We can determine a relation is a function when the domain is assigned each to one range number. All the domain values are different and all the range values are different which proves that definition. Thus, makes it a function.

Best of Luck!

A fruit stand has 200 apples. They order 19 bags with 12 apple each. They sell 42 bags that have 8 apples each. The owner says they now have about 120 apples. Is the owner's estimate reasonable? The owner's answer is reasonable. They ordered about 320 apples and sold about 240 so they should have about 80 fewer apples than they started with. The owner's estimate is not reasonable. They ordered about 320 apples and sold about 240 so they should have about 80 more apples than they started with. The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with. The owner's estimate is not reasonable. They ordered about 240 apples and sold about 240 so they should have about the same number of apples as they started with.

Answers

Answer:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with.

Step-by-step explanation:

Given that:

Number of apples already available with Owner = 200

Number of bags of apples ordered with 12 apples each = 19

Number of apples ordered = 12 [tex]\times[/tex] 19 = 228

OR

Rounding off 19 to 20:

Number of apples ordered  = 12 [tex]\times[/tex] 20 = 240

Around 240 apples were ordered.

Number of bags of apples with 8 apples each, sold = 42

Number of apples sold = 42 [tex]\times[/tex] 8 = 336

Rounding off 42 to 40, number of apples sold = around 320

Therefore, 80 more apples were sold than that of apples bought.

So, according to the estimate, there will be 80 fewer apples left than they started with.

Correct answer is:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with

what are all the fractions that are equivalent to 1/7​

Answers

2/14, 3/21, 4/28. just multiply 1 and 7 by the same number to come up with an equivalent fraction

Answer:

Some include: 3/21, 4/28, 5/35.

Step-by-step explanation:

You multiply the bottom by a number and then you multilpy the top by that same number!

1/7=3/21

1 times 3=3

7 times 3=21

Will give BRAINLIEST if it’s correct pls explain why rol

Answers

she’s serving 20% I know this because there are 5 pieces cut evenly! so 100 divided by 5 is 20.

Answer:

think of the pie as 100, each slice is worth 20 so she served 20% of the pie.

Step-by-step explanation:

The functions below represent the amounts of water released from two reservoirs over x weeks: Reservoir A f(x) = x2 – 7x + 5 Reservoir B g(x) = 3x2 – 6x + 2 The function h(x) = f(x) – g(x) represents the difference in the amounts of water released. Determine which statements about h(x) and about the reservoirs are true. Check all that apply.

Answers

Answer:

Step-by-step explanation:

Find the option below:

h(x) = –2x2 – 13x + 6

h(x) = –2x2 – x + 3

Reservoir A releases less water than Reservoir B over 1 week.

Reservoir A releases the same amount of water as Reservoir B over 1 week.

Reservoir A releases more water than Reservoir B over 1 week.

Given the expressions

Reservoir A f(x) = x^2 – 7x + 5

Reservoir B g(x) = 3x^2 – 6x+2

We are to find the f=difference between the functions h(x) = f(x)-g(x)

Substitute

h(x) =  x^2 – 7x + 5 -(3x^2 – 6x+2)

h(x) =  x^2 – 7x + 5 -3x^2 +6x-2

collect like terms

h(x) =  x^2 -3x^2 +6x– 7x+ 5-2

h(x)= -2x^2-x+3

Next is to know the amount of water released by Reservoir A after 1 week. To do that we will substitute x = 1 into h(x)

h(x)= -2x^2-x+3

h(1)= -2(1)^2-1+3

h(1)= -2-1+3

h(x)= -3+3

h(x)= 0

This shows that Reservoir A releases the same amount of water as Reservoir B over 1 week

Answer:

a,c,b

Step-by-step explanation:

i took the test

2(x + 3) = 18

please i need a valid answer I'm in 6th-grade pre-ap so this is seventh-grade math.

Answers

Answer:

6

Step-by-step explanation:

2(x+3)=18

2x+6=18

2x=12

x=6

Answer:

x = 6

Step-by-step explanation:

2(x + 3) = 18

 2x + 6 = 18

       2x = 12

         x = 6

Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.17x + $15.89

Answers

Complete question :

Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.17x + $15.89. How much did Hans pay for his trip?

Answer:

$92.39

Step-by-step explanation:

Given that:

Total distance = 450 miles

Amount charged for fees and taxes = $15.89

Amount charged ti redeem each mile = $0.17

In the equation:

Y = $0.17x + $15.89

X = distance Hans is flying

Y = cost of trip

Y = $0.17(450) + $15.89

Y = $76.50 + $15.89

Y = $92.39

What is the slope of a line perpendicular to the line whose equation is
12x – 2y = 24. Fully reduce your answer.

Answers

Answer:

-1/6

Explanation:

The slope of the line is: 6
And if two lines are perpendicular to each other, the product of their slopes is: -1

Step-by-step explanation:

The angle between the slope of the line parallel to the line whose equation is

[tex]12x-2y=24[/tex] is [tex]-1/6[/tex]

The slope intercept form is represented as follows;

[tex]y = mx + b[/tex]

where

m = slope

b = y-intercept

For a line perpendicular to another line the product of there slope is negative 1. Therefore,

m₁m₂ = -1

m₁ 1/6 = -1

m₁ = - 1/ 5

The line's angle of slope is 6

Additionally, the slope product of two lines that are perpendicular to one another is -1.

To learn more on linear equation refer to:

brainly.com/question/21010397?referrer=searchResults

#SPJ2

8.5x -2(2x +8) = 11

what is the answer

Answers

x= 6

hope it helps :)

Find the slopes of the linear functions.

On a coordinate plane, a line goes through points (0, 6) and (6, 0). Y = negative 2 x + 7.

The slope of the line given by the linear equation is .
The slope of the line shown in the graph is .

Answers

Answer:

The slope of the line given by the linear equation is

✔ -2

.

The slope of the line shown in the graph is

✔ -1

.

Step-by-step explanation:

thank you to the person above me !

The slope of the equation is -2 and -1.

What is slope of line?

The slope of a line is a measure of its steepness.

Given:

equation of line is

y= -2x +7

So, the slope of the line given by the linear equation is -2

and, (0, 6) and (6, 0)

m= 0-6/ 6-0

m= -6/6

m= -1

So, the slope of the line shown in the graph is -1.

Learn more about slope of equation here:

https://brainly.com/question/13496015

#SPJ2

What expressions are equivalent to 10^-5x10^2

Answers

B is e correct answer

See attachment for math work and answer.

Solve for x,
3x+5=14

Answers

Answer:

x = 3

Step-by-step explanation:

First, isolate the variable by subtracting 5 on both sides:

3x=9

Then, divide both sides by 3:

x = 3

Dianne drew a triangle with coordinates (1,3), (3,2) and (4,2) she drew an image of the triangle with coordinates (21,3) ,(23,2) and (24,2) how did she make the image

Answers

Answer:

i

Step-by-step explanation:

dk

3. A sari is sold for $60 thereby making a profit of 20% on the cost
price. What was the cost price?​

Answers

Answer:

The cost price was $48

Step-by-step explanation:

60-20%=48

hope it helps :)

Answer:

50

Step-by-step explanation:

60-x*100=20

6000-100x=20x

6000=20x+100x

6000= 120x

x= 6000/120

x= 50

Please help me out with this!! No joke answers!

Answers

Answer:

13 protons

14 neutrons

13 electrons

Step-by-step explanation:

protons and electrons are mostly always the same

Answer:

Number of Protons 13

Number of Neutrons 14

Number of Electrons 13

Choose four values to substitute in for x in the function below and then graph the function. The first row is done for you. ( Just need help with the Table )

Answers

Answer:

Answers to complete the table are 0, 3, 6, 9.....and (2,0)(3,3)(4,6)(5,9)

Step-by-step explanation:

-6+3(2)=0

-6+3(3)=3

-6+3(4)=6

-6+3(5)=9

hope this helps

A rectangular box has dimensions 4 in by 5 in by 5 in. Increasing each dimension of the box by the same amount ylelds a new box with volume five times the
old

Answers

Answer:

20

    Step-by-step explanation:

is the answer       ok    srry if wrong

What’s the volume to this shape?

Answers

Answer:

30x^6

Step-by-step explanation:

5×2×3=30

x+x+x+x+x+x=6x

Indices gets added when they are multiplied

Answer:

[tex]540x^{3}[/tex]

Step-by-step explanation:

First, we need to simplify all over the cubes and squares.

2x^2 = 4x

3x^3 = 27x

5x=5x

Then , we need to multiply them together.

27x*4x= 108x

108x*5x = 540x

Now, we have our answer

Question 1 Consider the equation 8x + 4y = 64. If we graph the equation, what is the slope of the graph? ​

Answers

Answer:

The slope is 2

Step-by-step explanation:

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