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aivan3 [116]
3 years ago
11

Bottles of water cost $2.00 each.

Mathematics
1 answer:
ycow [4]3 years ago
7 0

Answer:

Yes, it's proportional.

Cost of 12: $24.00

assume p is the price of the water bottle

xp= y

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

The price of the water bottles stay the same.

Cost of 1 bottle = $2

$2 x 12 = $24

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On a compass, due east is a 1/4 turn clockwise from due north. How many degrees are in a 1/4 turn?
vladimir2022 [97]

Answer:

90^o

Step-by-step explanation:

We have been given that on a compass, due east is a 1/4 turn clockwise from due north.

Since we know that a compass is in form of a circle and the measure of degrees in a circle is 360 degrees.

To find the number of degrees in a one-fourth turn, we will divide 360 by 4.

\text{Number of degrees in a 1/4 turn of compass}=\frac{360^o}{4}

\text{Number of degrees in a 1/4 turn of compass}=90^o

Therefore, there are 90 degrees in a 1/4 turn of compass.

4 0
3 years ago
Read 2 more answers
Magan decides to research the relationship between the length in inches and the
GrogVix [38]

Based on the line of best fit, the length of this catfish can be predicted to be 38 inches.

<u>Given the following data:</u>

  • Weight of catfish, x = 40 pounds.

<h3>What is a line of best fit?</h3>

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.

From the graph of the data, we have the following linear equation:

y=\frac{1}{2} x+18

Substituting the value of x, we have:

y=(\frac{1}{2} \times 40 )+18\\\\y=20+18

y = 38 inches.

Read more on scatterplot here: brainly.com/question/6592115

3 0
2 years ago
Solve the following word problem using any method. Show your work.
VLD [36.1K]
Let's set up two equations:
x+y=20             We know she brought total of 20, some of each so x=small y=big
20x+ 30y=450
 
 x+y= 20
   -y    -y
 ------------
 x= 20 -y

substitute into the other equation:    
20 (20-y) + 30y = 450
400 - 20y + 30y = 450
400+ 10 y = 450
10 y = 50
y= 5

So she brought  5 big cases.  Then substitute the value of y into one of the equations.

5+ x = 20 
x= 15

So we bought 15 small cases and 5 big cases. 

Hope this helps! Please give me the brainliest answer if you like it! If you have further questions, please leave a comment or add me as a friend!


5 0
2 years ago
Read 2 more answers
Chen writes down a two digit number. He finds out that if he swapped the numbers, it would be three more than the 1/3 of the ori
inna [77]

Answer:

Step-by-step explanation:

From the information given,

Let the two digits that Chen writes down to be p and q

where,

q will be in the unit place and p will be in the tens place.

So, the value of the digit = 10p + q

So, if he swapped the number, he will have 10q + p

However,

the new number determined is thrice more than the 1/3 pf the original number.

i.e

the 1/3rd of the original number = \dfrac{1}{3}(10p+q)

=\dfrac{10p+q}{3}

thrice more than that will be = \dfrac{10p+q}{3} + 3

∴

\dfrac{10p+q}{3} + 3 = 10q+p

multiply through by 3, we have :

10p+q + 9 = 30q + 3p

collecting the like terms, we have:

10p - 3p +q -30q +9 = 0

7p - 29q +9 = 0

7p - 29q = -9

Therefore, p,q lie between 0 and 9

Therefore, the possibility of the original number is p = 7 and q = 2

8 0
3 years ago
Given the following winning percentages of the teams in a league (for a single year) compute the within-season standard deviatio
Masja [62]

Answer:

(b) 0.251

Step-by-step explanation:

1. Standard deviation equation:

SD=\sqrt{\frac{\sum\limits^N_i {(x_{i}-X)^{2}  } }{N} }

Where X is the mean of the data, and N the amount of data. Then, N=5

2. Estimate the Mean:

X=\frac{0.750+0.750+0.200+0.600+0.200}{5}=\frac{2.5}{5}=0.5\\

3. Caclulate Standard deviation:

SD=\sqrt{\frac{{(0.750-0.500)^{2}+(0.750-0.500)^{2}+(0.200-0.500)^{2}+(0.600-0.500)^{2}+(0.200-0.500)^{2}  } }{5} }

SD=\sqrt{\frac{0.315}{5} }=\sqrt{0.063}\\SD=0.251

7 0
3 years ago
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