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xeze [42]
2 years ago
8

Mrs Fernandez has a total of 156 red and blue roses.After selling the same number of red and blue roses, she had 1/3 of the numb

er of red roses and 2/9 of the number of blue roses left. How many red roses did she have at first?
Mathematics
1 answer:
Degger [83]2 years ago
8 0

There will be 72 blue roses in all. Then she has 84 red roses in her initial bouquet.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Mrs Fernandez has a total of 156 red and blue roses.

After selling the same number of red and blue roses.

She had 1/3 of the number of red roses and 2/9 of the number of blue roses left.

Let x be the number of red rose and y be the number of blue roses.

Then the equation will be

x + y = 156  ...1

2x/3 = 7y/9

   6x = 7y ...2

By solving the equations 1 and 2, we have

x = 84 and y = 72

Then the number of red roses that she have at first is 84.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

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Suppose that the world's current oil reserves is R = 1820 billion barrels. If, on average, the total reserves
iVinArrow [24]

Answer:

A. R = -18t + 1,820

B. 1,568 billions of barrels

C. approximately 101.11 years

Step-by-step explanation:

To make our equation, we'll use the form R = mt + b. M represents how many billion barrels of oil are being lost each year, which we know is 18 billion. So -18 will be our m. B is how many total barrels of oil there are, which is 1,820. So 1,820 will be our b. Now the equation looks like this:

R = -18t + 1,820

We can use this equation to answer Part B.

Replace the t with 14:

R = -18(14) + 1,820

Now solve for R:

R = -18(14) + 1,820

R = -252 + 1,820

R = 1,568

14 years from now, there will be 1,568 billions of barrels left.

To solve part C, we need to find how many years it will take for all of the oil to be used up. After it's all used up, the total amount of oil will be 0, so we can replace R with 0 and then solve for t:

0 = -18t + 1,820

Subtract 1,820 from both sides to isolate -18t:

0 - 1,820 = -18t + 1,820 - 1,820

-1,820 = -18t

Divide both sides by -18 to isolate the t:

-1,820/-18 = -18t/-18

101.11 = t

After approximately 101.11 years, all of the oil will be used up.

3 0
2 years ago
How many pounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts that cost $6.50 per pound to make mixe
Fantom [35]

The amount of cashew mixed is 5 pounds

<h3>Word problem on total cost</h3>

Cost of 1 pound of cashew = $14

Cost of 1 pound of peanut = $6.50

Total cost of 1 pound of the mixed nuts = $10.25

Cost of 5 pounds of peanuts = 5 x $6.50

Cost of 5 pounds of peanuts = $32.50

Let the amount of cashew  be x

Total cost of x cashew = 14x

Total amount of the mixed nuts = x + 5

Total cost of the mixed nuts = 10.25(x+5)

Total cost of the mixed nuts = 10.25x + 51.25

14x  +  32.50  =  10.25x  +  51.25

14x - 10.25x  =  51.25  -  32.50

3.75x  =  18.75

x  =  18.75/3.75

x  =  5

Therefore, the amount of cashew mixed is 5 pounds

Learn more on word problem on cost here: brainly.com/question/21405634

#SPJ1

8 0
1 year ago
Read 2 more answers
A number x divided by -1 is at least -4
Vinil7 [7]
A number x divided by -1 is at least -4.

x / -1 ≥ -4

Multiply both sides by -1.

x ≤ 4

Remember, when multiplying or dividing by a negative, you must change the sign's direction.

~Hope I helped!~
7 0
2 years ago
Three friends shared 5/6 of a pizza equally. What fraction of the whole pizza did each friend get?
Ymorist [56]

Answer:

<em><u>5/18</u></em>

Step-by-step explanation

when you divide 5/6 by 3 you multiply 5/6 by 1/3 and you get 5/18!

I hope this helps!

4 0
3 years ago
Solve for y you do not have to show your work<br> 9+4y-y+7=-14
Troyanec [42]

Answer:

y= -10

Step-by-step explanation:

:)

4 0
2 years ago
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