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Nataly [62]
3 years ago
12

Jason served his friends orange juice from a 60 oz carton. The carton shows there are 36 oz of orange juice left. Enter the perc

entage of juice Jason poured for his friends.
Mathematics
1 answer:
maw [93]3 years ago
4 0

Answer:

40%

Step-by-step explanation:

If there was 60 oz to begin with and now there is 36 oz now then you have to subtract 36 from 60 to find how much Jason gave to his friends. 60-36=24. 24 over 60 simplified is 7 over 15. That as a decimal would be 0.4, or 40 percent

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69 points!!!
Amiraneli [1.4K]

Answer:

C)  The solution for the given system of equations are A(0,-5) and B(-4,3)

Step-by-step explanation:

The given system of equation are : x^{2}  + y^{2}  = 25\\2x  + y  = -5

from equation 2, we get   y = -5 - 2x .

Put the above value of y in the equation (1).

We get: x^{2}  + y^{2}  = 25  \implies x^{2}  + (-5-2x)^{2}  = 25

By ALGEBRAIC IDENTITY:

(a+b)^{2}   = a^{2}  +  b^{2}  + 2ab\\ (-5-2x)^{2} = (-5)^{2}  +  (-2x)^{2}  + 2(-5)(-2x)

or, x^{2}  + (-5-2x)^{2}  = 25  \implies x^{2} + (25  +  4x^{2}  + 20x)  = 25

or, 5x^{2}  + 20x = 0  \implies x(5x + 20) = 0

⇒ x = 0 or,   x  = -20/5 = -4

So, the possible values for x are: x  = 0 or  x  = -4

If x  = 0, y = -5-2x = -5-2(0) = -5

and if x = -4, y = -5 -2(-4)   = -5 + 8  = 3

Hence, the solution for the given system of equations are A(0,-5) and B(-4,3)

8 0
3 years ago
For your own safety, the bank representative says that the following characteristics of PIN numbers are prohibited: ​​(1) all fo
ivanzaharov [21]

Answer:

Total = N(1) +N(2)+N(3) = 10+14+200 = 224 sequences

224 sequences would NOT be permitted.

Step-by-step explanation:

1) all four digits identical

Number of possible PIN with all four digits identical N(1) = 1×1×1×10 = 10 possible PIN

2) sequence of consecutive ascending or descending digits N(2) = 14

Only Ascending starting with 0,1,2 = 3

only descending for 7,8,9 = 3

and both for 3,4,5,6 = (2×4)

Total = 3+3+(2×4) = 14

3) any sequence starting with 19 or 20 (birth years

N(3) = 2 × 1×1×10×10 = 2×100 = 200

N(3) = 200

(Note : 100 possible ways for each of 19 or 20s)

Total = N(1) +N(2)+N(3) = 10+14+200 = 224

224 sequences would NOT be permitted.

7 0
3 years ago
What is the length of bd
NikAS [45]

Answer:

B

Step-by-step explanation:

I would use the Pythagorean theorem to solve distances between 2 points, and this case is no exception.

We need to find the positive difference in their x coordinates and y coordinates.

The difference in x coordinates: 7

The difference in y coordinates: 8

Now we can use the Pythagorean theorem:

7^2+8^2 = x^2

49+64 = x^2

113 = x^2

x = sqrt(113)

Therefore, the answer is B.

3 0
3 years ago
What is the answer to 16x + 10-10x=2x+14
dem82 [27]

Answer:

1

Step-by-step explanation:

6x+10=2x+14

6x-2x=14-10

4x=4

x=1

7 0
3 years ago
An unknown fraction is between 0 and 1. Which is true about the equivalent percent and decimal?
pashok25 [27]

Answer:

The answer is C.

Step-by-step explanation:

The number between 0 and 1. Think of decimals as cents, 100 cents makes a whole. So the number will be greater than 0 but less than 100.

7 0
3 years ago
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