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vitfil [10]
2 years ago
13

Dropping less than two inches per mile after emerging from the​ mountains, a river drains into the ocean. One​ day's discharge a

t its​ mouth, 2 trillion​ gallons, could supply all of country​ A's households for five months.Based on this​ statement, determine how much water an average household uses each month. Assume that there are 100 million households in country A.
Mathematics
1 answer:
forsale [732]2 years ago
6 0

Answer:

4000 gallons.

Step-by-step explanation:

One day's discharge at the mouth of the river is 2 trillion gallons and it can supply all of country A's households for five months.

Now, if there are 100 million households in country A.

Then, the amount of water an average household uses each month will be given by

\frac{2 \times 10^{12} }{100 \times 10^{6} \times 5} = 4000 gallons. (Answer)

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What is the actual slope of this line?
-BARSIC- [3]

Answer:

  -4

Step-by-step explanation:

The line has a "rise" between the two points of -4 units for a "run" of +1 unit. The slope is the ratio ...

  m = rise/run = -4/1 = -4.

The slope is -4.

_____

<em>Additional comment</em>

A "whole number" must be non-negative. Here, the slope is negative. If you're restricted to "a fraction or a whole number", then the appropriate answer is the fraction -4/1. We suspect that "integer" is meant where "whole number" is used.

5 0
2 years ago
What is the sum of 20x^2-10x-30
ivann1987 [24]

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

ax^{2} +bx+c=0

The sum of the roots is equal to

-\frac{b} {a}

in this problem we have

20x^{2} -10x-30=0  

so

a=20\\b=-10\\c=-30

substitute

-\frac{(-10)} {20}=0.5

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

a=20\\b=-10\\c=-30

substitute

x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}

x=\frac{10\pm\sqrt{2,500}} {40}

x=\frac{10\pm50} {40}

x=\frac{10+50} {40}=1.5

x=\frac{10-50} {40}=-1

The roots are x=-1 and x=1.5

The sum of the roots are

-1+1.5=0.5 ----> is ok

5 0
3 years ago
A dictionary contains the following 9 words: two, mice, three, squeaking, the, blind, deaf, birds, rabbits. What is the probabil
IgorC [24]

Answer:

<u>The correct answer is B. 1/729</u>

Step-by-step explanation:

1. Probability of any of the nine words would be randomly cited.

Using the Laplace Rule, we calculate that probability is 1/9

2. Now let's calculate the probability of any two - word phrase in specific order from those nine in the dictionary. We should remember that the probability of occurrence of two or more statistically independent events is equal to the product of their individual probabilities. So,

1/9 * 1/9 = 1/81

3. Using the same Multiplication Rule, we can calculate the probability of a random generation of the phrase "three blind mice", in that specific order. Because there are other phrases that could be generated with those three words, but in different order.  The question was specific about the order.

1/9 * 1/9 * 1/9 = 1/729

<u>The probability of randomly generating the phrase "three blind mice" is 1/729 or 0.137%</u>

7 0
3 years ago
8x+3y=18
Minchanka [31]

Step-by-step explanation:

8x+3y=18

subject y according y=mx+c

y=8/3x-6

(-9,-13)

substitute -9 to y=8/3x-6

-13=8/3×(-9)+c

11=c

y=8/3x+11

3 0
3 years ago
The temperature dropped 12F in 8 hours .if the final temperature was -7,what was the starting temperature
bekas [8.4K]
Just add 12 to -7, -7 -6 -5 -4 -3 -2 -1 0 1  2  3  4  5  6  7  8  9  10  11  12
6 0
2 years ago
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