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boyakko [2]
3 years ago
9

At a local grocery store, bananas were on sale. Green bananas were priced at $14.00 and yellow bananas were priced at $12.00. Sa

brina bought 9 bananas and spent a total of $114.00. How many yellow bananas did she purchase?
Mathematics
1 answer:
garri49 [273]3 years ago
3 0

Answer:

Sabrina bought 6 yellow bananas and 3 green bananas

Step-by-step explanation:

Let

Green bananas = x

Yellow bananas = y

Green bananas = $14.00

Yellow bananas = $12.00

Total cost = $114.00

x + y = 9 (1)

14x + 12y = 114 (2)

From (1)

x = 9 - y

Substitute x = 9 - y into (2)

14(9 - y) + 12y = 114

126 - 14y + 12y = 114

- 14y + 12y = 114 - 126

-2y = -12

Divide both sides by -2

y = -12 / -2

= 6

y = 6

Substitute y = 6 into (1)

x + y = 9

x + 6 = 9

x = 9 - 6

= 3

x = 3

Sabrina bought 6 yellow bananas and 3 green bananas

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The larger of two numbers is eight more than twice the smaller. The sum of the numbers is 10 less than three times the larger. F
Alinara [238K]

Answer:

-2 and 4

Step-by-step explanation:

Let's set the larger number to x, and the smaller to y. With these, we can set up our equations.

x = 2y + 8

x + y = 3x - 10

Now, we put the value of x into the second equation.

2y + 8 + y = 3(2y + 8) - 10

Now we can solve for y

3y + 8 = 6y + 24 - 10

3y + 8 = 6y + 14

8 = 3y + 14

-6 = 3y

-2 = y

Now that we have the smaller number, we can put it into the first equation and solve for the larger.

x = 2*-2 + 8

x = -4 + 8

x = 4

So your two numbers are -2 and 4.

3 0
3 years ago
What are the mean, median, mode, and range of the data set given the altitude of lakes in feet: -11, -28, -17, -25, -28, -39, -6
GrogVix [38]

Answer:

Mean=-21.5

Median=-26.5

Mode=-28

Range= -6 to-46

Step-by-step explanation:

Arranging the numbers given either in ascending or descending order. In this case, I used descending order as follows

-6

-11

-17

-25

-28

-28

-39

-46

Mode is the number that occurs more than others. In this case, only -28 appears twice hence it is the mode

The mean is given by adding all the numbers and dividing by the frequency.

The sum of numbers will be -6+-11+-17+-25+-28+-28+-39+-46=-172

Mean=-172/8=-21.5

The median is the number that appears in the middle after arranging the numbers in descending order as above. In this case, two numbers appear in the middle, that is -25 and -28 hence median -25+-28/2=-26.5

The range of numbers id from -6 to-46 as arranged above

8 0
3 years ago
Convert 3500 meters into yards. Round your answer to the nearest whole number.​
Bad White [126]

Answer:

yesss a 3500 = 5066

Step-by-step explanation:

this is my answer

7 0
3 years ago
Read 2 more answers
Select the correct answer.
Brums [2.3K]

ответ: д
-1/2 * 16 = -8
или 16/(-2) = -8

4 0
2 years ago
1)
almond37 [142]

Radio Barn : 200 + .15 x  x = the weekly sales

Woofer: 300 + .10x

set them equal to find when they are them same

200 + .15x = 300 + .10x

subtract .10x from both sides

200 +.15x -.10x = 300 + .10x-.10x

200 +.05x = 300

subtract 200 from each side

200+.05x -200 = 300-200

.05x = 100

divide each side by .05

.05x/.05 = 100/.05

x =2000

The 2 jobs pay the same when the weekly sales are 2000 dollars


2.  {x - 5 = -y}

{2y - 10 = -2x}

x-5 = -y

add 5 to each side

x = -y+5

multiply each side by -2

-2x = 2y -10

the 2 equations are the same, it has an infinite number of solutions

The system is dependent  since the 2 equations are the same line


3.  {2x = y - 7}

{4x - 2y - 14 = 0}

2x = y-7

subtract y-7 from each side

2x - (y-7) = 0

2x -y+7 =0

multiply by 2

4x -2y +14 =0

subtract the two equations

4x -2y +14 =0

4x - 2y - 14 = 0

---------------------------

               28 = 0

since this cannot happen   the lines will never cross ( parallel lines)

the system is inconsistent

5 0
3 years ago
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