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Evgesh-ka [11]
3 years ago
8

Last night 30cm of snow fell in 6 hours. If it continues snowing at the

Mathematics
1 answer:
mafiozo [28]3 years ago
5 0

Answer: 9 hrs for 45cm of snow to fall

Step-by-step

If 30cm = 6 hrs

Then divide 30/6 to get the unit rate of the amount of snow per hr

Which is 5/1

So 5cm per hr

Then add 30+5+5+5 to get 45

And since we know 5cm equal 1 hr

Add the original amount of hours which is 6 plus 3 ones

Which is 6+1+1+1

In total, it will take 9 hrs for 45cm of snow to fall.

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3 years ago
Kim and Melody are selling popcorn buckets for a school fundraiser. Customers can buy small buckets or large buckets. Kim sold 3
Papessa [141]

Answer:

The cost of

A small bucket = x = $8

A Larger bucket = y = $13

Step-by-step explanation:

Let the cost of

A small bucket = x

A Larger bucket = y

Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206.

3x + 14y = 206... Equation 1

Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231.

11x + 11y = 231.... Equation 2

What is the cost for a small bucket and a large bucket of popcorn?

3x + 14y = 206... Equation 1

11x + 11y = 231 ....... Equation 2

We solve using Elimination method

Multiply Equation 1 by 11 and Equation 2 by 3 to Eliminate x

33x + 154y = 2266.... Equation 3

33x + 33y = 693....... Equation 4

We subtract Equation 4 from Equation 3

121y = 1573

y = 1573/121

y = $13

Solving for x

3x + 14y = 206... Equation 1

3x + 14 × 13 = 206

3x + 182 = 206

3x = 206 - 182

3x = 24

x = 24/3

x = $8

Hence, the cost of

A small bucket = x = $8

A Larger bucket = y = $13

4 0
3 years ago
If points A, B, and Clie on a line, then AB + BC = AC.<br> always<br> sometimes<br> never
nadya68 [22]

Answer:

Always

Step-by-step explanation:

we know that

If points A, B, and C lie on a line, the the sum of the length of segment AB plus the length of the segment BC is always the length of segment AC

so

AC=AB+BC

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Radda [10]

The answer should be 8 cm2

6 0
3 years ago
Find an equation for the line that passes through the point (-4, 10) and (16, -2)
Crank

Answer:

y = 3/5x + 62/5

Step-by-step explanation:

Equation of a line with two points is

m = y - y_1 / x - x _1

m = y_2 - y_1 / x_2 - x _1

Equating both

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Using what we are provided with

(-4 , 10)(16 , -2)

x_1 = -4

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Imputing the values

10 - (-2) / 16 - (-4) = y - 10 / x - (-4)

10 + 2 /16 + 4 = y - 10 / x + 4

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Lets cross multiply

12 ( x + 4) = 20(y - 10)

Open the brackets

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12x + 48 + 200 = 20y

12x + 248 = 20y

Following this equation of line

y = mx + C

20y = 12x + 248

Let's divide through by 20 to get y.

20y / 20 = 12x + 248 / 20

y = 12x + 248 / 20

We can separate it by

y = 12x / 20 + 248 / 20

y = 3/5x + 62/5

Therefore, the equation of the line is

y = 3/5x + 62/5

3 0
3 years ago
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