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Ray Of Light [21]
3 years ago
7

You and your friend are selling your old CDs. Your friend sells 14 the first day, and x the next day. You sell y the first day a

nd 6 the next day. Write an expression that shows the total number of CDs sold both days. Rewrite your answer using the Commutative Property of Addition.
Mathematics
1 answer:
Deffense [45]3 years ago
6 0

Answer: 30+x+y

Step-by-step explanation:

  • Commutative Property of Addition : a+b= b+a , where a and b are any arbitrary numbers.

Given : Number of CDs sold by friend on first day = 14

Number of CDs sold by friend on next day = x

Total CDs sold by friend  = 14 +x

Number of CDs sold by you on first day = 16

Number of CDs sold by you on next day = y

Total CDs sold by you  = 16+y

The expression that shows the total number of CDs sold both days =

Total CDs sold by friend  + Total CDs sold by you

=  14 +x+ 16+y

= 14 +(x+ 16)+y

= 14 +(16+x)+y   [By Commutative Property of Addition.]

= 14+16+x+y

= 30+x+y

Hence, the expression that shows the total number of CDs sold both days :

30+x+y

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Question in the middle please
oksian1 [2.3K]
So it wants you to write two equations, one for the number of fruit and another for the money spent. gather your important information first:

20 fruits for $11.50
apples cost $0.50
bananas cost $0.75

let's do the cost equation first. it's $0.50 per apple, so 0.50a, and $0.75 per banana, so 0.75b. the total cost is $11.50. put all of this information together:

0.50a + 0.75b = 11.50  ... so, the cost of apples bought plus the cost of bananas bought equals 11.50

note what your variables stand for. a represents the number of apples, b represents the number of bananas. to write an equation for how many fruits bought, you simply have to add these two and set them equal to 20 (the total number of fruits bought).

a + b = 20
and your other equation
0.50a + 0.75b = 11.50

these are your two equations. to solve the system of equations, you first want to get one variable alone; the first equation will be easier.

a + b = 20
a = 20 - b

now take this equation and plug it into the second equation.
0.50(20 - b) + 0.75b = 11.50 ... you'll notice that you only have one variable left: b. solve for it. the first step is to distribute 0.50 to the parentheses
10 - 0.50b + 0.75b = 11.50 ... combine like terms
10 + 0.25b = 11.50 ... subtract 10
0.25b = 1.5 ... divide by 0.25
b = 6

6 bananas were purchased. plug this back into an equation to find out how many apples were purchased.

a + 6 = 20 ... subtract 6
a = 14

14 apples and 6 bananas were bought.
3 0
3 years ago
a shipment of ball bearings with a mean diameter of 25 mm and a standard deviation of 0.2 mm is normally distributed. by how man
yarga [219]
Mean diameter = 25 mm
Standard deviation = 0.2 mm
25.6 mm - 25 mm = 0.6 mm
0.6 mm : 0.2 mm = 3
Answer:
A ball bearing with a diameter 25.6 mm differs from the mean
D ) 3 standard deviations.
3 0
3 years ago
PLEASE HELP
rodikova [14]

Answer:

i think its a yes

Step-by-step explanation:

5 0
3 years ago
A shirt with the cost price $80 was discounted by 10% what is the amount of the discount and what is the discounted price of the
Sophie [7]

Answer:

72.00

Step-by-step explanation:

umm cant really explain

7 0
3 years ago
Read 2 more answers
If the r-value, or correlation coefficient, of a data set is 0.854, what is the
Kruka [31]
Answer with explanation:
Coefficient of determination(r²), is defined as, how well the data values are associated with each other when Regression line is drawn. In regression analysis, the coefficient of determination measures , how well the regression predictions approximate the real data points, means it measures the closeness between two variables.The Value of r², lies between 0 to 1. If value of r²=1, it shows ,regression line that is data values are Perfectly associated with each other.
If ,r²=0, it means there is no variation between two variables.There is 0% variation between two variables.
→Coefficient of Variation=[Correlation coefficient]²
=r²
=(0.854)²
=0.854 × 0.854
=0.729316
=0.730(Approx)
7 0
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