Choose the biconditional statement with the same meaning as these two statements combined:

3u - 3 = 15 give me a lecture so i can try to do it in the future please

never [62]

Answer:

u=6

Step-by-step explanation:

One rule in algebra is what you do to one side, you do it to other side. So if you multiply a number in one side, multiply the same number in other side. Here in this question, you are trying to find the value of the variable u. Variable is called so because the value of it varies depending on different question. Here u is going to be a constant number which when multipled by 3 and then subtracted by 3 equals 15.

So first step is we try to get constants on one side. So we add 3 on both sides to get rid of 3 on left.

3u - 3 + 3= 15+3

3u= 18

Now we divide by 3 on both sides to get u by itself.

3u/3 = 18/3

u= 6

7 0

3 years ago

Convert. Round to the nearest hundredth if necessary.

denpristay [2]

Answer:

Step-by-step explanation:

1 gallon = 3.78litres

hence if the acid is $33.19/gal

3.78 litres will be sold for $33.19

while

1 litre will be sold for $33.19/3.78

1 litre will be sold for $8.78

hence the cost per liter is $8.78

6 0

3 years ago

I need help please I don’t understand

Evgen [1.6K]

You don’t need to do the math, think logically.

35% is almost 33%.

1/3 (33%) of 64,000 is 21,000.

The closest choice is H. 22,400.

3 0

3 years ago

Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000

AleksandrR [38]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

First, we determine the value of the 5 installments using a 5% annual compounded rate.

We calculate the future value, and then the present value:

FV= {A*[(1+i)^n-1]}/i

A= annual payments

FV= {60,000*[(1.05^5) - 1]} / 0.05

FV= $331.537.88

PV= FV/(1+i)^n

PV= $259,768.60

At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.

Now, if the annual rate is 6% continuously compounded.

First, we need to calculate the effective interest rate:

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

FV= {60,000*[(1.0618^5) - 1]} / 0.0618

FV= 339,443.23

PV= 339,443.23/1.0618^5

PV= $251,509.01

At an annual rate of 6% compounded continuously, she should choose the $255,000.

5 0

3 years ago

Which inequality correctly compares Two-fifths, Six-sevenths, Five-eighths, and 1?

Ronch [10]

Answer:

2/5 < 5/8 < 6/7 < 1

OR

1 > 6/7 > 5/8 > 2/5

Step-by-step explanation:

It is required to compare Two-fifths, Six-sevenths, Five-eighths, and 1

Two-fifths = 2/5

Six-sevenths = 6/7

Five-eighths = 5/8

So, the given numbers are: 2/5, 6/7, 5/8, and 1

We need to make the numbers in order from the least to the greatest or from the greatest to the least

The easy method is convert the rational numbers to decimal numbers

So,

2/5 = 0.4

6/7 ≈ 0.857

5/8 = 0.625

1 = 1

So, the numbers form the least to the greatest are:

0.4 , 0.625 , 0.857 , 1

So,

2/5 , 5/8 , 6/7 , 1

The inequality correctly compares the numbers are:

2/5 < 5/8 < 6/7 < 1

Or can be written from the greatest to the least as:

1 > 6/7 > 5/8 > 2/5

6 0

4 years ago