SOMEONE PLEASE HELP ME WITH THIS I NEED IT!!!

Tank a has a capacity of 9.5 gallons. 6 1/3 gallons of the tank's water are poured out. how many gallons of water are left in th

Advocard [28]

Answer:

Water left in tank is $3\frac{1}{6}$ gallons.

Step-by-step explanation:

Given :

Capacity of tank = 9.5 gallons $=\frac{95}{10}$

Water taken out of tank = $6\frac{1}{3}=\frac{19}{3}$ gallons

We have to find the water left in the tank.

Water left in the tank = Total capacity of tank - water taken out of tank

= $\frac{95}{10}-\frac{19}{3}$

Taking LCM of (3,10)= 30

$\Rightarrow \frac{95 \times 3-19 \times10}{30}$

Solving further, we get,

$\Rightarrow \frac{285-190}{30}$

$\Rightarrow \frac{95}{30}=\frac{19}{6}=3\frac{1}{6}$

Thus, Water left in tank is $3\frac{1}{6}$ gallons..

5 0

3 years ago

Read 2 more answers

Invasive species often experience exponential population growth when introduced into a new environment. Zebra mussels are an inv

Oliga [24]

Answer:

If ‘a’ is the initial population of the Zebra mussels, then every six months, the population of Zebra mussels quadruples, i.e. it becomes 4a. In t years, i.e. in 2t intervals of 6 months each, the population of Zebra mussels can be computed with the help of a geometric series a, ar, ar2, ar3, …. arn-1 ( the series being finite with n terms) where a is the 1st term , r is the common ratio and n is the number of terms in the series..

Here, in 2t years, there will be 2t + 1 terms in the geometric series including the initial term. Thus in the above series, a = 10, r = 4 and n = 2t + 1. Then the population of the Zebra mussels after 2t years is the (2t +1)st term of the geometric series I.e. 10* ( 42t)

In 15 months, t = 15/12 = 1.25. Then the population of Zebra mussels after 15 months will be 10*(42.5 ) = 10 * 25 = 320

If after t years, the population of the Zebra mussels become 1 million , then we have

1000000 = 10 * (42t) or, 100000= 42t or,105 = 42t Taking logarithms of both sides, we have 5 log 10 = 2t log 4 or, t = (5log10)/(2log4) = 5/1.20 years or (5/1.20) * 12 months = 50 months, i.e. 4 years and 2 months.

Step-by-step explanation:

8 0

3 years ago

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Reflect the shape over the line shown !

snow_lady [41]

This is the reflected shape can u award brainliest

7 0

1 year ago

Write the set of points from −2 to 6 but excluding 3 and 6 as a union of intervals:

KengaRu [80]

Answer:

[-2,6] - {3} - {6} = [-2,3) ∪ (3,6)

Step-by-step explanation:

Union Of Intervals

Let us assume two interval A = (a,b) and C = (c,d).

Their union is written as : A ∪ C = (a,b) ∪ (c,d)

Now, if interval is written in form [a,b] ⇒ a and b are INCLUDED in interval

Also, if interval is written in form (a,b) ⇒ a and b are NOT INCLUDED in interval

Here, the given interval is [-2,6]

excluding 3 and 6 from this will give:

[-2,3) ∪ (3,6)

The first set is [-2.3) where -2 is INCLUDED but 3 is NOT INCLUDED.

The second set is (3,6) where 3 and 6 both are NOT INCLUDED.

Hence, [-2,6] - {3} - {6} = [-2,3) ∪ (3,6)

6 0

3 years ago

The length of time needed to complete a certain test is normally distributed with mean 46 minutes and standard deviation 6 minut

madam [21]

Answer:

0.0668 or 6.68%

Step-by-step explanation:

Mean time (μ)= 46 minutes

Standard deviation (σ) = 6 minutes

The z-score for any given time X is determined by:

$z=\frac{X-\mu}{\sigma}$

For X = 37:

$z=\frac{37-46}{6}\\ z=-1.5$

A z-score of -1.5 corresponds to the 6.68th percentile of a normal distribution. The probability that it will take less than 37 minutes to complete the test is

$P(X\leq 37) = 0.0668=6.68\%$

The probability is 0.0668 or 6.68%

3 0

3 years ago