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3 years ago

Caroline is making some table decorations.

Mathematics

1 answer:

MrMuchimi3 years ago

4 0

Answer:

Caroline buys 3 packs of candles and 5 packs of holders.

Step-by-step explanation:

1.) First, find multiples of 30 by adding 30 to itself. For example, 30, 60, 90.

2.) Second, find multiples of pakcs of holders until it matches the multiples of candle packs. 18, 36, 54, 72, 90.

3.) then you find that Caroline buys 3 packs of candles and 5 packs of candle holders so she has the same amount of both.

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A motorboat travels 220 kilometers in 4 hours going upstream. It travels 260 kilometers going downstream in the same amount of t

aliya0001 [1]

Answer: The rate of boat is 60 kmh.

The rate of current is 5 kmh.

Step-by-step explanation:

Alright, lets get started.

Suppose the rate of boat in still water is : b kmh

Suppose the rate of current is : c kmh

When the boat is going upstream, the relative speed will be : $(b-c)$

When the boat is going downstream, the relative speed will be: $(b+c)$

Boat travels 220 kilometers in 4 hours going upstream.

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

$(b-c)=\frac{220}{4}$ .................. equation (1)

It travels 260 kilometers going downstream in the same amount of time.

$(b+c)=\frac{260}{4}$ ................... equation (2)

Adding equation 1 and 2

$b-c+b+c=\frac{220}{4}+\frac{260}{4}$

$2b=\frac{480}{4}$

$2b=120$

$b=60$

Plugging the value of b as 60 in equation 2

$60+c=\frac{260}{4}$

$60+c=65$

$c=5$

Hence the rate of boat is 60 kmh.

Hence the rate of current is 5 kmh.

Hope it will help :)

6 0

3 years ago

If y is inversely proportional to the square root of x and y=−70 when x=49, find y if x=2401.

Dahasolnce [82]

The value of y when x= 2401 is -10

<h3>How to determine the value of x?</h3>

An inverse variation is represented as:

$y = \frac{k}{\sqrt x}$

Where k is the proportionality constant

When y = -70, x = 49

So, we have:

$-70 = \frac{k}{\sqrt {49}}$

Take the square root of 49

$-70 = \frac{k}{7}$

Multiply through by 7

k = -490

Substitute k = -490 in $y = \frac{k}{\sqrt x}$

$y = -\frac{490}{\sqrt x}$

When x =2401, we have

$y = -\frac{490}{\sqrt {2401}}$

Evaluate the square root

$y = -\frac{490}{49}$

Divide

y = -10

Hence, the value of y when x= 2401 is -10

Read more about variation at:

brainly.com/question/14254277

#SPJ1

4 0

2 years ago

Please give me the answer to the problem.

Mandarinka [93]

She made 3 sandwiches because 5-2 3/4 = 2 1/4.
2 1/4 as an improper fraction=(4*2)+1=9/4
9/4 / 3/4=3.

6 0

3 years ago

Read 2 more answers

Select the correct answer.

ohaa [14]

Answer:

Set the compass to a convenient width, and draw an arc that is centered at the vertex of the original angle and intersects both legs of the original angle.

8 0

3 years ago

Question 2 Determine if (x-3) is a factor to the polynomial P(x) = 2x³ +5x²-28x - 15. (3 marks)

tangare [24]

Answer:

(x - 3) is a factor of P(x)

Step-by-step explanation:

if (x - 3) is a factor of P(x) then P(3) = 0

P(3) = 2(3)³ + 5(3)² - 28(3) - 15

= 2(27) + 5(9) - 84 - 15

= 54 + 45 - 99

= 99 - 99

= 0

since P(3) = 0 then (x - 3) is a factor of P(x)

3 0

2 years ago