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taurus [48]
3 years ago
8

Here are 7 7 same-sized cups filled with water which will be used for watering plants. Fred used 1 3 3 1 ​ of each cup of water.

Janice used 1 4 4 1 ​ of each cup of water. Approximately how many cups of water remain?
Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

Answer:

2 11/12

Step-by-step explanation:

total amount fred used = 1/3 x 7 = 7/3

total amount Janice used = 1/4 x 7 = 7/4

total amount used =

7/3 + 7/4

(28 + 21) / 12 = 49 / 12 = 4 1/12

Amount left = 7 - 4 1/12 = 2 11/12

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In one day, a book store earned $199 in sales for 4 copies of a new cookbook and 5 copies of a new science fiction novel. On the
Marina86 [1]

Answer:

The cookbook costs $36 per copy while the science fiction costs $11 per copy

Step-by-step explanation:

Here in this question, we are interested in calculating the price of the cookbook and the price of the science fiction novel.

Since we do not know the price of each, we start by assigning variables to stand in for these unknown prices.

Let the price of the cookbook be $x , while the price of the science fiction be $y

Now, on the first day, 4 copies of the cookbook and 5 copies of the fiction;

mathematically that would be 4 * x and 5 * y

We add both and sum to be $199

Thus we have;

4x + 5y = 199 ••••••••••(i)

On the second day;

3 copies of cookbook 3 * x = 3x with 4 copies of science fiction 4 * y

Adding both yielded 152;

Thus, we have ;

3x + 4y = 152••••••••••(ii)

So we need to solve both equations simultaneously to get the values of x and y

4x + 5y = 199

3x + 4y = 152

Multiply equation i by 3 and equation ii by 4

3 * 4x + 5y = 199

4 * 3x + 4y = 152

12x + 15y = 597

12x + 16y = 608

Now, subtract multiplied equation ii from multiplied equation i

(12x-12x) + (15y-16y) = (597-608)

-y = -11

y = 11

To get x, simply substitute in any of the equations;

let’s use equation 1

4x + 5y = 199

4x + 5(11) = 199

4x + 55 = 199

4x = 199-55

4x = 144

x = 144/4

x = 36

8 0
3 years ago
Can somebody number the problem and work it out for me thanks and btw it’s solving system by graphics
adoni [48]

Answer:

Solutions are (3,1) and (4,2)

Step-by-step explanation:

Graph is shown in the attached sheet

Given are two systems of equations and we have to solve them using graph

For graphing let us first prepare table for x and y.

1) y=\frac{-2x}{3} +3:\\y=2x-5

I line                                                             II line

x     0   4.5    3                              x       0      2.5     3

y      3   0       1                              y       -5      0        1

The two lines intersect at (3,1)

Hence solution is (3,1)

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

2) y=\frac{x}{2} \\-6x+3y=-18

I line                                                             II line

x     0    2    4                              x       0      6     4

y      0   1      2                             y       3      0     2

The two lines intersect at (4,2)

Hence solution is (4,2)

3 0
3 years ago
PLEASE HELP!! If the dimensions of a circle are increased by a factor of 3 (tripled), how will the area of the circle be affecte
kolezko [41]
I can't tell if this is what you were asking for, but I included some explanations.

7 0
4 years ago
Read 2 more answers
What is the domain of the following list of ordered pairs? <br> (-1,2),(3,4),(0,-3),(1,-6)
Molodets [167]
-1,0,1,3 because domain is the x values
5 0
3 years ago
Read 2 more answers
..................Help please!
algol13

Answer:

with

Step-by-step explanation:

what

8 0
3 years ago
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