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2 years ago

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Kenny bought a few 2-litre bottles of detergent. Sue bought a few 3-litre bottles of detergent. The average amount of detergent

both of them had was 5y litres. Kenny and Sue bought the same number of bottles of detergent. How many bottles of detergent did each of them buy?

1 answer:

exis [7]2 years ago

4 0

They both bought 1 bottle each.

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A boat travels 33 miles downstream in 4 hours. The return trip takes the boat 7 hours. Find the speed of the boat in still water

Paha777 [63]

<u>Answer:</u>

Speed of the boat in still water = 6.125 miles/hour

<u>Step-by-step explanation:</u>

We are given that a boat travels 33 miles downstream in 4 hours and the return trip takes the boat 7 hours.

We are to find the speed of the boat in the still water.

Assuming $S_b$ to be the speed of the boat in still water and $S_w$ to be the speed of the water.

The speeds of the boat add up when the boat and water travel in the same direction.

$Speed = \frac{distance}{time}$

$S_b+S_w=\frac{d}{t_1}=\frac{33 miles}{4 hours}$

And the speed of the water is subtracted from the speed of the boat when the boat is moving upstream.

$S_b-S_w=\frac{d}{t_2}=\frac{33 miles}{7 hours}$

Adding the two equations to get:

$S_b+S_w=\frac{d}{t_1}$

+ $S_b-S_w=\frac{d}{t_2}$

___________________________

$2S_b=\frac{d}{t_1} +\frac{d}{t_2}$

Solving this equation for $S_b$ and substituting the given values for $d,t_1, t_2$ :

$S_b=\frac{(t_1+t_2)d}{2t_1t_2}$

$S_b=\frac{(4 hour + 7hour)33 mi}{2(4hour)(7hour)}$

$S_b=\frac{(11 hour)(33mi)}{56hour^2}$

$S_b=6.125 mi/hr$

Therefore, the speed of the boat in still water is 6.125 miles/hour.

6 0

2 years ago

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greta has a piece of cloth that is 9 yards long . she cuts it into pieces that are each 1/3 yards long how many pieces of cloth

labwork [276]

27 peices i believe. 3 peices per yard, 9 yards. 9*3=27

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1 year ago

What is In 7 days, a group of workers can plant 21 acres. What is their rate in acres per day?

FromTheMoon [43]

So do 21/7 to give you how much they do in a day. The answer is three so they do 3 aceres in a day.

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3 years ago

A bracelet costs $39.59 including tax.It is marked down 25 percent.What is the final price of the bracelet after it is marked do

lara31 [8.8K]

If it is marked down 25% and 25% equals 25/100 then you simply take 39.59 x 25/100

39.59 x 25/100 = 9.90

and then you subtract that from the original price

39.59 - 9.90 = $29.69

after it is marked down, the price is $29.69

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3 years ago

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I have this point: (-1,2) and my slope is undefined. How would I write my equation in point-slope form: y - y^1 = m (x -x^1)? Th

tiny-mole [99]

Answer:

x = -1

Step-by-step explanation:

Given the point, (-1, 2), and that the slope is <u><em>undefined</em></u>.

The standard linear equation of vertical lines is <em>x</em> =<em> a</em>, where the x-intercept is (<em>a</em>, 0), and the slope is undefined because all points on the line have the same x-coordinate. Attempting to solve for the slope of a vertical line using the slope formula, m = (y₂ - y₁)/(x₂ - x₁), will result in a mathematical operation of <u>division by zero</u> (which is an <em>undefined operation</em>).

Since the slope is <u>undefined</u>, then it is <u>not possible</u> to create a linear equation in either the slope-intercept form, or point-slope form.

Therefore, the equation of a vertical line given the point, (-1, 2) is <em>x</em> = -1.

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2 years ago