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exis [7]
3 years ago
13

A water tank is leaking such that for each of the next 5 hours, the amount of water in the tank will be 2 gallons less than at t

he end of the previous hour. What type of relationship most appropriately models this situation? A. linear increase B. exponential growth C. linear decrease D. exponential decay
Mathematics
1 answer:
andre [41]3 years ago
7 0

Answer:

C.  Linear decrease

Step-by-step explanation:

I can't really show a graph but I will try to explain

The water is leaking at a constant rate, meaning its not regaining it water (its only leaking). So if u were to graph this it would be a linear decrease

( That was a Terrible explanation but the answer is right lol)

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Jonathon has a collection of coins worth a total of $10.75. If he has one-fourth as many dimes as pennies, and two-thirds as man
Mrrafil [7]

Step-by-step explanation:

d = number of dimes

n = number of nickels

p = number of pennies

d×$0.10 + n×$0.05 + p×$0.01 = $10.75

d = p/4

d = n × 2/3

now we need to transform these equation and substitute the variable equations in the main equation, so that we have actually only one variable left. and that we can solve.

so, it seems to me transforming p and n into expressions of d might be the easiest one.

d = p/4

=>

p = 4d

d = n × 2/3

=>

3d = 2n

n = d × 3/2

so, now putting that into the main equation

d×$0.10 + (d × 3/2)×$0.05 + 4d×$0.01 = $10.75

since we have a fraction in there, let's multiply everything by that denominator (2) to be fraction free :

2d×$0.10 + 3d×$0.05 + 8d×$0.01 = $21.50

now we can simplify the terms by multiplying the integer factors of d into the value decimals

d×0.20 + d×0.15 + d×0.08 = 21.50

now we can simply add up ask the factors of d

d×(0.2 + 0.15 + 0.08) = 21.50

d×0.43 = 21.50

d = 21.5 / 0.43 = 50

p = 4d = 4×50 = 200

n = d × 3/2 = 50 × 3/2 = 25 × 3 = 75

so he has 50 dimes, 75 nickels and 200 pennies

4 0
3 years ago
Read 2 more answers
The quotient of q and 14 is less than 28
deff fn [24]

Answer:

q<392

Step-by-step explanation:

First, we turn words into an inequality. Then, we solve for q.

\frac{q}{14}

It is also a good idea to check our answer, to make sure it is reasonable and we did not make a careless mistake.

3

The value satisfies the equation, so this should be correct.

8 0
3 years ago
A golf ball of diameter 1.68 inches rolls a distance of 4m in a straight line. How many times does the ball. completely? (1 inch
marin [14]

Answer: 29.9

Step-by-step explanation:

We know that

1 m = 100 cm

4 m = 400 cm

Circumference of ball

= 3.14 x

= 13.37 cm

400 / 13.37

4 0
2 years ago
Ancient slingshots were made form straps of leather that cradled a rock until it was released. One would spin the slingshot in a
Greeley [361]
We separate equation by looking at x and y projection separately. 
Let us look at the x projection first.
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x=v_0cos(45)\cdot t
Now our y equation will be a little bit more complicated. There is gravity working against our projectile and we also have to take into effect the hight from which the projectile is launched.
With all that in mind let us write the equation for y projection:
y=h+v_0sin(45)\cdot t-g \frac{t^2}{2}
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v_0=w\cdot r
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If we combine our x and y equations we can get the trajectory of our projectile.
y=h+x- \frac{gx^2}{2\cdot (wr)^2cos^2(45)}
This is the equation of a parabola. If you follow this link(https://www.desmos.com/calculator/vogcuygjhs) it will take to an interactive graph where you can see how trajectory looks like depending on some of the paramaters.
8 0
3 years ago
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What's four minus 1 third​
Aleonysh [2.5K]

Answer:

3 2/3

Step-by-step explanation:

hope this helps

6 0
2 years ago
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