Answer:
400 lb of salt
Step-by-step explanation:
Let us assume the water flows into the rank for x minutes.
There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x
Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x
The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:
1500 = 1000 + 5x
5x = 1500 - 1000
5x = 500
x = 100 minutes.
1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb
Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt
Answer:
Ratio = 5/12
Jack had = $972
Step-by-step explanation:
<u>Given:</u>
- Total money $1377
- Amy had = x
- Jack had = y
- Amy spent = 0.8x
- Jack spent = 1/3y
<h3>Part A</h3>
<u>Since they spent same amount of money:</u>
- 0.8x = 1/3y
- 8/10x=1/3y
- x/y = 10*1/8*3 = 5/12
The ratio was 5/12
<h3>Part B</h3>
<u>Sum of money:</u>
<u>As per ratio, x = 5/12y, substituting x in above equation:</u>
- 5/12y + y = 1377
- 17/12y = 1377
- y = 1377*12/17
- y = 972
Jack had $972
Answer: f(x)= 500x + 12000
If the base population is 12000, which I’m sure it is then 500 would be added annually to that population per year which is why it says 500x. Therefore it would be the first one because it’s linear and it’s adding 500 per year.
By using exponent, 3.p.p.p.3.3 can be written as 3³ · p³
<h3>What are the laws of indices? </h3>
In Mathematics, laws of indices can be defined as the standard principles and rules that are used for simplifying a mathematical equation or expression that involves powers of the same base.
This ultimately implies that, a product that has repeated factors can be expressed as a power by using an exponent and a base.
<h3>What is an
exponent?</h3>
An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.
3.p.p.p.3.3 = 3 × p × p × p × 3 × 3
3 × p × p × p × 3 × 3 = 3 × 3 × 3 × p × p × p
3 × 3 × 3 × p × p × p = 3¹ × 3¹ × 3¹ × p¹ × p¹ × p¹
3¹ × 3¹ × 3¹ × p¹ × p¹ × p¹ = 3⁽¹ ⁺ ¹ ⁺ ¹⁾ × p⁽¹ ⁺ ¹ ⁺ ¹⁾
3⁽¹ ⁺ ¹ ⁺ ¹⁾ × p⁽¹ ⁺ ¹ ⁺ ¹⁾ = 3³ × p³
3³ × p³ = 3³ · p³
Read more on exponent here: brainly.com/question/25263760
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Given: a rectangleis given .
Find : equation of flower garden represents the blue point.
Explanation:
the center of the circle is
and the radius of the circle is 60 feet.
so the equation of the folwer garden will be .