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MAVERICK [17]
3 years ago
11

Please help me with this one. WILL MARK BRAINLIEST

Mathematics
1 answer:
belka [17]3 years ago
7 0
1. Yes.
cranberry juice : total cups = 1 : 5 in all cases

2. Yes.
cranberry juice : total cups = 2 : 5 in all cases

3. No.
1 : 5 is not the same as 2 : 5.
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A carousel has 30 cars. Determine the angle of rotation that maps #6 to car #19.
ivolga24 [154]

Answer:  The answer is 260°.


Step-by-step explanation: Given that a Carousel has 30 cars. We need to find the angle of rotation which maps car no. 6 to car no. 19.

Now, the Carousel will make a regular polygon with 30 sides and each car as a vertex.

So, angle of symmetry for the polygon is

\theta=\dfrac{360^\circ}{30}=20^\circ.

Number of sides from car 6 to car 19 = 19 - 6 = 13.

Therefore, the angle of rotation that maps car 6 to car 19 is given by

\alpha=13\times \theta=13\times 20^\circ=260^\circ.

Thus, the required angle of rotation is 260^\circ.


7 0
3 years ago
Last year, 800 people attended the annual Christmas parade in Whoville. This year, 1,000
gizmo_the_mogwai [7]
20% increase in the amount of people
5 0
2 years ago
How many pounds of candy worth 70 cents a pound must be mixed with 30 pounds of candy worth 90 cents a pound to produce a mixtur
Svet_ta [14]
<h3>Answer:</h3>

B) 10 pounds

<h3>Explanation:</h3>

Let x represent the amount of 70¢ candy to be added. The value of the mixture can be written as ...

... 90×30 + 70x = 85×(30+x) . . . . . where 30+x is the total weight of the mix

... 2700 +70x = 2550 +85x

... 150 = 15x . . . . . . add -70x-2550

... 10 = x . . . . . . . . . divide by the coefficient of x

10 pounds of candy at 70¢/lb must be added.

5 0
3 years ago
Frequently on tour, a band called the Chieftains
JulijaS [17]

Correct option is C. Frequently on tour, a band called the Chieftains

<u>revered internationally</u><u> as spirited performers of </u><u>traditional Irish music</u><u>.</u>

<u />

<h3>What are Chieftains?</h3>

The Chieftains are a traditional Irish folk band formed in Dublin in 1962, by Paddy Moloney, Sean Potts and Michael Tubridy. Their sound, which is almost entirely instrumental and largely built around uilleann pipes, has become synonymous with traditional Irish music and they are regarded as having helped popularise Irish music around the world.

They have won six Grammys during their career and they were given a Lifetime Achievement Award at the prestigious BBC Radio 2 Folk Awards in 2002. Some music experts have credited The Chieftains with bringing traditional Irish music to a worldwide audience, so much so that the Irish government awarded them the honorary title of 'Ireland's Musical Ambassadors' in 1989.

To learn more about Chieftains from given link

brainly.com/question/16235817

#SPJ4

8 0
1 year ago
Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit
Phantasy [73]

Answer:

y=-2.95836 x +234.56159

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479

\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694

\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897

\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226

\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22

And the slope would be:

m=-\frac{-4152.222}{1403.556}=-2.95836

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222

\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111

And we can find the intercept using this:

b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159

So the line would be given by:

y=-2.95836 x +234.56159

7 0
2 years ago
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