7. A fish tank hold 100 gallons of water and is losing water at a rate of 1 gallons per hour. A second fish tank
contains 40 gallons of water is having 2 gallons added per hour. After how many hours will the first tank
have less water than the second? Which inequality represents the situation?
a. 100+ h > 40 - 2h
c. 40-h > 100 + 5h
b. 100-h< 40 + 2h
d. 100-h > 40 + 2h
OA
OB
ОС
D
D
Question 8
My

Answer:

x>10

Step-by-step explanation:

2x - 8 >12

2x>12 +8

2x >20

x >20 :2

x>10

Answer:

y = -2x - 2

Step-by-step explanation:

From the graph attached,

If the line 'l' passes through two points A(0, -1) and B(4, 1).

Rule for the rotation of any point (x, y), 90° clockwise about the origin is,

(x, y) → (y, -x)

By this rule,

A(0, -1) → A'(-1, 0)

B(4, 1) → B'(1, -4)

Let the equation of the line A'B' is,

y - y' = m(x - x')

where m = slope of the line A'B'

And (x', y') is a point lying on the line.

Slope of the line passing through A' and B' will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{0+4}{-1-1}[/tex]

m = -2

Therefore, equation of the line passing through (-1, 0) and slope = -2,

y - 0 = (-2)(x + 1)

y = -2x - 2

So the equation of the line after rotation of lie 'l' by 90° clockwise will be,

y = -2x - 2

Answer:

a

Step-by-step explanation:

5(.02)

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 we can solve the question using this information

Answer:

11

Step-by-step explanation:

Answer:

eight point nine seven, 8+0.9+0.07

Step-by-step explanation:

Step-by-step explanation:

Complementary angles means that the angles should add up to 90°.

let the complementary angle of 53.8° is x°.

So,

53.8° + x° = 90°.

x° = 90°-53.8°

x = 36.2°

Answer:

C

Step-by-step explanation:

Just took test n got it right

Answer:

C. 5.25 + 1/5 b = 11.25

Step-by-step explanation:

Answer:

  1.  a certificate of deposit

  2.  multiply the principal by the interest rate and time

Step-by-step explanation:

1. A CD is a savings vehicle called a "Certificate of Deposit." It generally specifies a certain rate of interest for a given period of time. It usually carries an interest penalty for early withdrawal.

__

2. The interest on a CD is calculated the way it is calculated for any other investment. The amount of interest in a given time is the product of the principal, the interest rate, and the time period. Interest on a CD with a period of more than 1 year is generally compounded. (The compounding interval will be part of the terms of the CD agreement.)

A certificate of deposit, When calculating interest earned on a CD and multiply the principal by the interest rate and time

Finance is defined as the management of money and includes activities such as investing, borrowing, lending, budgeting, saving, and forecasting.

A CD in the financial sense is a certificate of deposit.

When calculating interest earned on a CD, you multiply the principal by the interest rate and time.

This is because interest on a CD is usually compounded, meaning it is added to the principal balance over time and earns interest itself.

The formula for calculating the total amount earned on a CD is:

[tex]Total amount = Principal \times (1 + Interestrate)^T^i^m^e[/tex]

Where the interest rate is expressed as a decimal and Time is the number of years the CD is held.

Hence, a certificate of deposit, When calculating interest earned on a CD and multiply the principal by the interest rate and time

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Answer:

I think it B as well as the other person I just learned this so I'm not the best at it

Answer:

0.22

Step-by-step explanation:

4 or less let it rest, 5 or more add one more!.

8 is greater than 1 so you add one to 1 which equals 2, so your answer would be 0.22

Answer:

Step-by-step explanation:

3 gallons of milk in 1 week means they use 3 gallons of milk in 7 days.

To find out how much milk they use in 1 day, simply divide 3 gallons by 7.

1 day = 3/7 gallons

Then to find how much they use in 4 days, multiply the amount in 1 day by 4.

4 days = 3/7 x 4 = ? Gallons

Answer:

1. 71428571429

Step-by-step explanation:

You divide 3 by 7 then multiply the answer by 4 is what I did not saying it’s completely 100% right though

Answer:

thats 13 questions

Step-by-step explanation:

Answer: 13 questions

Step-by-step explanation: 51-38 equals 13

Answer:

nothing

Step-by-step explanation:

nothing will come because there is no figure

Answer:

(-1,3), (1,0)

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

...

Answer:

100-60=40

Step-by-step explanation:

Answer:

In 6 weeks she will have $40.

Step-by-step explanation:

$100 - $10 - $10 -$10 - $10 - $10 - $10.

Or $100 - $60.

The resultant force is

→F=321.9N at−165.4°

The equilibrant is

→Feq=321.9N at14.6°

Explanation:

This problem requires that we resolve the force vectors into x- and y-components.

Once this is done, we can add the components easily, as the one 2-dimensional problem will be two 1-dimensional problems.

Finally, we will convert the resultant force into standard form and find the equilibrant.

Resolve into components:

F1x=F1cos180°=215(−1)=−215N

F1y=F1sin180°=0N

F2x=F2cos(−140°)=126(−0.766)=−96.5N

F1y=F1sin(−140°)=126(−0.643)=−81.0N

Note the change of the angle used to give the direction of F2. Standard angles (rotation from the x-axis; counterclockwise is +) should be used to avoid sign errors in the results.

Now, we add the components:

Fx=F1x+F2x=−311.5N

Fy=F1y+F2y=−81.0N

Technically, this is the resultant force. However, it should be changed back into standard form. Here's how:

F=√(

Answer:

300

Step-by-step explanation:

Answer:

[tex]\huge\boxed{f=g(x)\ \text{for}\ x=-\dfrac{16}{3}=-5\dfrac{1}{3}}[/tex]

Step-by-step explanation:

When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8?

[tex]f(x)=g(x)\iff\dfrac{1}{2}x=2x+8\qquad|\text{subtract}\ 2x\ \text{from bpoth sides}\\\\\dfrac{1}{2}x-2x=2x-2x+8\\\\-1\dfrac{1}{2}x=8\qquad|\text{convert the mixed number to the improper fraction}\\\\-\dfrac{2\cdot1+1}{2}x=8\\\\-\dfrac{3}{2}x=8\qquad\text{multiply both sides by}\ -\dfrac{2}{3}\\\\\left(-\dfrac{2\!\!\!\!\diagup}{3\!\!\!\!\diagup}\right)\left(-\dfrac{3\!\!\!\!\diagup}{2\!\!\!\!\diagup}x\right)=\left(-\dfrac{2}{3}\right)\cdot8\\\\x=-\dfrac{2\cdot8}{3}\\\\x=-\dfrac{16}{3}[/tex]

Step-by-step explanation:

Employee frauds are one of most common form of frauds which can be detected in a company. There can be many types or forms of employee frauds.  

the major types are:

• Asset Misappropriation

• Bribery and Corruption

• Data theft

• Vendor Fraud

• Payroll Fraud

• Accounting Fraud

2. The hospital could have detected the fraud going on earlier if they had consulted the help of an audit firm this could have helped exposed the fraud earlier.

Answer: 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Answer:

Formula for Calculating Alcohol in Beer

Step-by-step explanation:

Subtract the Original Gravity from the Final Gravity.

Multiply this number by 131.25.

The resulting number is your alcohol percent, or ABV%

The slope is -3. Pick any point on the line. For every 1 unit you move to the right, the "next" point on the line is 3 units down.

You can also use the formula for the slope. According to the graph, the line goes through the points, say, (1, -3) and (3, -9). Then the slope is

slope = (-9 - (-3)) / (3 - 1) = (-9 + 3) / (3 - 1) = -6/2 = -3

Answer:

2 hats

Step-by-step explanation:

4+4+3+3+3=17

Each hat costs $4 and each scarf costs $3.

He bought 5 items. Two of those items were hats.

The rest were scarfs.

The number of hats bought by John are 3

Two or more expressions with an Equal sign is called as Equation.

Let the hat is represented by x

scarves is denoted by y

Hats cost $4 each while scarves cost $3 each

John buys 5 items and spends a total of $17.

We need to find the number of hats.

3x+4y=17..(1)

x+y=5..(2)

x=5-y

Subtract x value in equation 1

3(5-y)+4y=17

Apply distributive property

15-3y+4y=17

15+y=17

Subtract 15 on both sides

y=2

x+2=5

x=3

Hence, the number of hats bought by John are 3

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