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a_sh-v [17]
3 years ago
5

A cup and saucer cost $3.10 at the local store. The cup costs $2.00 more than the saucer. How much does each cost?

Mathematics
1 answer:
AlekseyPX3 years ago
5 0

Answer: cup is $2.55

Saucer $0.55

Step-by-step explanation:

Cost of cup and saucer is $3.10

Let the cup be x

And saucer be y

I.e

X+y= 3.10......equation 1

Cup which is X is $2 more than the saucer

I.e x=2+y......equation 2

Substitute for X in equation 1

(2+y)+y=3.10

2+2y=3.10

2y=3.10-2

2y=1.10

Y=1.10/2

Y=$0.55

Substitute for y in equation 2

X=2+y

X=2+0.55

X=$2.55

Therefore

The cup is $2.55

The saucer is $0.55

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5 0
3 years ago
A cab company charges $2 per cab ride, plus an additional $0.90 per mile driven. Write an equation that shows the relationship b
Reil [10]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>$2 + $0.90x = </em>

▹ Step-by-Step Explanation

$2 represents the starting cost and, $0.90x represents the amount paid for each mile driven.

Hope this helps!

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8 0
3 years ago
If the correlation between height and weight of a large group of people is 0.74, find the coefficient of determination (as a per
Vika [28.1K]

Answer:

B. The coefficient of determination is 54.76%. Therefore, 54.76% of the variation in weight can be explained by the regression line.

Step-by-step explanation:

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The coefficient of determination is a measure to quantify how a model explains an dependent variable.

The formula for the correlation coeffcient is given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}

The formula for the coefficient of determination is r^2

In our case the correlation coefficient obtained was 0.74

And the determination coefficient is R=0.74^2 =0.5476, and if we convert this into % we got 54.76%

Assume that height is the predictor (X) and weight is the response (Y)

And the best answer for this case is:

B. The coefficient of determination is 54.76%. Therefore, 54.76% of the variation in weight can be explained by the regression line.

4 0
3 years ago
4/5 divided by 1/5. <br><br><br><br><br> Help asap
lilavasa [31]

Answer:

4

Step-by-step explanation:

reciprocal

4/5÷1/5

=4/5×5

=4

8 0
2 years ago
Read 2 more answers
What is 248 divided by 112?can someonr PLEASE HELP ME!!!!!
Aneli [31]
The answer is 2.2142857143 but you can round it to 2.
3 0
3 years ago
Read 2 more answers
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