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3 years ago

There are two water tanks, Tank #1 fills into Tank #2.

Mathematics

1 answer:

cricket20 [7]3 years ago

5 0

Answer:

35 minutes

Step-by-step explanation:

The total amount of water is 200 +60 = 260 gallons. The two tanks will have equal amounts when each has half that, or 130 gallons.

If the volume in tank 2 is increasing at 2 gallons per minute, it will increase by 70 gallons from 60 gallons to 130 gallons in 70/2 = 35 minutes.

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You are offered two different sales jobs. The first company offers a straight commission of 5% of the sales. The second company

sweet [91]

Answer:$5408

Step-by-step explanation:

The first company offers a straight commission of 5% of the sales. This means the salary or income is 5% of sales made.

The second company offers a salary of $260 per week plus 4% of the sales. This means salary or income

= $260 +4% of 260

= 260 + (4/100)×260

= 260 +(0.04×260)

=260+10.4 = $270.4

Let x = the amount of sales you would have to sell in a week in order for the straight commission offer to be at least as good

5% of x should be greater than or equal to $270.4

0.05x = 270.4

x = 270.4/0.05 =$5408

The sales should be greater than or equal to $5408

3 0

3 years ago

Use change-of-base formula to find three significant digits log^6 120

Paladinen [302]

I suppose that when you write "log^6" , you want to say log₆

Change of base formula:
loga b=logc b / logc a

log₆ 120=ln 120 / ln 6=2.67

Answer: log₆ 120=2.67

7 0

3 years ago

Kwans The Kenningy account balance was $20 his ending balance is zero dollars what integer represents the changing in his accoun

77julia77 [94]

The integer number that represents the changing in his account balance from beginning to end is of -20.

<h3>Which numbers belong to the set of integer numbers?</h3>

Non-decimal numbers, either positive or negative numbers, also zero, belong to the set, which can be represented by:

Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}

A change can be represented by the <u>final value subtracted by the initial value</u>. For this problem, we have that:

The initial balance is of $20.

The final balance is of $0.

Hence the change in the balance is:

0 - 20 = -20.

And the integer is -20.

More can be learned about integer numbers are brainly.com/question/17405059

#SPJ1

6 0

2 years ago

Keith won a cash prize in an art competition. He gave his mother 2/5 of the money he won. Of the remainder, 1/4 was given to his

USPshnik [31]

Answer:

300 dollars

Step-by-step explanation:

Let the original amount = x

x - 2/5x was what his mother's share looked.

5/5 x - 2/5 x

3/5x is what is left.

3/5 x - 1/4 * 3/5 x - 2/3x * 3/5 = his sister's share and his brothers

3/5x - 1/4*3/5 x - 2/3 * 3/5 = 15

3/5x * (1 - 1/4 - 2/3) = 15

3/5 x 5/60 = 15

15 / 300 * x = 15

1/20 x = 15

x = 15 * 20

x = 300

7 0

3 years ago

In order to estimate the average electric usage per month, a sample of 81 houses was selected and the electric usage was determi

lana [24]

Answer:

Confidence interval: (1760,1956)

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 81

Sample mean =

$\bar{x} = 1858 \text{ kWh}$

Population standard deviation =

$\sigma = 450 \text{ kilowatt-hours}$

Confidence Level = 95%

Significance level = 5% = 0.05

Confidence interval:

$\bar{x} \pm z_{critical}\displaystyle\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

$1858 \pm 1.96(\displaystyle\frac{450}{\sqrt{81}} ) = 1858 \pm 98 = (1760,1956)$

6 0

3 years ago