Solve: $|2x - 1| = |3x + 5|$. write your answers as a list of numbers, separated by commas,

1 answer:

8 0

First, disregard the sign for absolute value and solve for x.

2x - 1 = 3x + 5
2x - 3x = 5 + 1
-x = 6
x = -6

Now, you have to interpret the absolute value. The absolute value of x is always the positive version of whatever the number is. Since x = -6, its absolute value is 6. Therefore, the possible value for x is only one, which is 6.

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Venus Waldo reviewed her account statement and wanted to verify that the interest amount was correct. Her new balance was $12,09

user100 [1]

Answer:

The interest on the savings account is $46.47

Step-by-step explanation:

Here, we want to know the interest earned on the savings account.

The difference between the new and previous balance will be; 12,098.12 - 9,053.20 = $3,044.92

The difference between amount deposited and amount withdrawn is 3,298.45 - 300 = 2,998.45

This is the amount that is supposed to be on the account without interest

So the interest earned would be; 3044.92 - 2,998.45 = $46.47

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2 years ago

You have quarters and dimes that total $2.80. Your friend says it is possible that the number of quarters is 8 more than the num

AnnyKZ [126]

Answer:

Step-by-step explanation:

d = number of dimes

2.80 = 0.1d + 0.25 (d + 8 )

2.80 = 0.1d + 0.25d + 2 Combine like terms

2.80 = 0.35d + 2 Subtract 2 from both sides

0.80 = 0.35d Divide both sides by 0.35

d ≈ 2.29

No, it's not possible to have more quarters than dimes when the total is $2.80 because it's not possible to have part of a dime.

5 0

2 years ago

If one quarter (25 cents) is 25% of a dollar, what percent is 23 cents?

Ugo [173]

You need to apply the same reasoning.
25 cents is 25% of a dollar because they are 25 out of 100, that is 25/100 = 25%
For 23 cents is exactly the same reasoning:
23 cents is 23% of a dollar <span>because they are 23 out of 100 cents, that is 23/100 = 23%</span>

5 0

2 years ago

A bag contains 10 tiles with the letters A, B, C, D, E, F, G, H, I, and J. Five tiles are chosen, one at a time, and placed in a

lora16 [44]

I assume in this item, we are to find at which step is the mistake done for the calculation of the unknown probability.

For the possible number of arrangement of letter, n(S), the basic principles of counting should be used.
= 10 x 9 x 8 x 7 x 6 = 30,240

This is similar as to what was done in Meghan's work.

For the five tiles to spell out FACED, there is only one (1) possibility.

Therefore, the probability should be equal to 1/30,240 instead of the 1/252 which was presented in the steps above.

8 0

2 years ago

Justin deposited $2,000 into an account 5 years ago. Simple interest was paid on the account. He has just withdrawn $2,876. What

RSB [31]

Answer: 8.76%

Step-by-step explanation:

The formula to find the simple interest is given by :-

$I=Prt$ , where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years). (1)