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valina [46]
3 years ago
8

Brooke collects porcelain dolls and teddy bears. Over the years, the number of porcelain dolls she collected is 14 less than twi

ce the number of teddy bears. If she has a total of 52 dolls and bears, how many teddy bears does Brooke have?
Mathematics
1 answer:
Colt1911 [192]3 years ago
5 0
Teddy =X
Dolls= 2x-14

2x-14+X=52
3X-14=52
Add 14
3X=66
Divide by 3
X= 22

Teddy are 22
Dolls 2(22)-14=30
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Is 2(6-3x)+x equivalent to 2(3x)+x?
nalin [4]
No
2(6-3x) = 12-6x
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4 0
3 years ago
The line plot shows the number of letters in the last name of 12 children.
Ainat [17]

Answer:

The mode is 9 letters: True

The median is 7.5 letters: True

The mean is 7 letters: False

The graph is skewed right with an outlier of 2: False

Step-by-step explanation:

1) The mode is 9 letters. (True)

The mode is the value that shows up the most. 9 letters shows up the most as the length of a child's last name.

2) The median is 7.5 letters. (True)

The median is one of the middle points of a data set. This can be found by writing out all of the results from least to greatest, and crossing out each number starting from the ends.

2, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 9

Once you meet in the middle, you should be left with 7 and 8. In this case, we find the mean of the two numbers, which is 7.5. (In cases where the data set has an odd amount - if there were 13 children instead of 12), you'd just use the middle piece of data.

3) The mean is 7 letters. (False)

The mean is also a middle point of a data set. However, this one is different. The mean can be found by adding up all of the numbers in the data set (2+6+6+7+7+7+8+8+9+9+9+9) and then dividing that number by the amount of numbers are in the data set. Setting this up as an expression would look like: \frac{2+6+6+7+7+7+8+8+9+9+9+9}{12}. By plugging this into a calculator you'd get 7.25 instead of just 7.

4) The graph is skewed right with an outlier of 2.

Although the outlier of 2 part of the statement is correct, the graph is not skewed right; it is skewed left.

5 0
2 years ago
What is the factored form of the quadratic equation y=x2+4x-12? <br><br> PLEASE HELP ME!!!
snow_tiger [21]

Answer:

(x + 6)(x - 2)

Step-by-step explanation:

The given quadratic equation is $ y = x^2 + 4x - 12 $.

A quadratic equation can be factored in the form $ (x - a) (x - b) $ where $ -a $ and $ -b $ will form the roots of the equation

Here the roots are $ - 6 $ and $ 2 $.

The factored form would simply be: $ (x + 6) (x - 2) = 0 $.

Thus the answer.

4 0
3 years ago
Read 2 more answers
I need to find surface area of a cylinder. Formula being used: S.A= L x W +
Arturiano [62]

Answer:

90π yd²

Step-by-step explanation:

the surface area of a cylinder is the sum of the lateral area and twice the aera of one end of the cylinder:  π·d·l, where l represents the length of the cylinder.  Here, the lateral surface area is π·6 yd·12 yd, or 72π yd².

The two ends add the following to the total surface area:

2·π·(d/2)², or 2π·d²/4.

Thus, the total surface area of the cyl. is

A = 2π·(6 yd)²/4 + 72π yd², or

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Note:  Please check your source.  L x W +  2pi ·r ^2 is incorrect.

5 0
4 years ago
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damaskus [11]

Answer:

(-4,6)

Step-by-step explanation:

y=6

5x+5(6)=10

5x+30=10

5x=-20

x=-4

(x,y)

(-4,6)

8 0
3 years ago
Read 2 more answers
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