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WINSTONCH [101]
3 years ago
6

Solve the following equations for x -11=3-7(x-1)

Mathematics
2 answers:
Neporo4naja [7]3 years ago
8 0

Answer:

x = 21/8

Step-by-step explanation:

x - 11 = 3 - 7x + 7

8x = 21

x = 21/8

lesya692 [45]3 years ago
3 0

Answer:

x = 21/8

Step-by-step explanation:

Step 1: Write equation

x - 11 = 3 - 7(x - 1)

Step 2: Solve for <em>x</em>

<u>Distribute -7:</u> x - 11 = 3 - 7x + 7

<u>Combine like terms:</u> x - 11 = 10 - 7x

<u>Add 7x on both sides:</u> 8x - 11 = 10

<u>Add 11 on both sides:</u> 8x = 21

<u>Divide both sides by 8:</u> x = 21/8

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In planning her retirement, Liza deposits some money at 2.5% interest, with twice as much deposited at 4.5%. Find the amount dep
Harlamova29_29 [7]

Let us assume $x is deposit at 2.5% interest.

At the rate 4.5% deposited amount is twice of the amount deposited at 2.5%.

Therefore, at the rate 4.5% deposited amount = $2x.

Total interest earned by both different deposited amount at the rate 2.5% and at the rate 4.5% = $1150.

We can setup an eqation now,

Interest earned on $x at 2.5% + interest earned on $2 at 4.5% = $1150.

2.5% of x + 4.5% of 2x = 1150

Percentage could be written in decimals by dividing by 100.

Therefore, 2.5% = 2.5 /100= 0.025 and 4.5% = 4.5/100 = 0.045.

We could rewrite above equation as,

0.025*x + 0.045 * 2x = 1150

0.025x + 0.09x =1150

Adding 0.025x + 0.09x, we get 0.115x.

So, 0.115x=1150.

Dividing both sides by 0.115.

0.115x/0.115=1150/0.115.

x= $1000.

2x= 2* 1000= $2000

Therefore,

$1000 deposited at 2.5% and $2000 deposited at 4.5%.



7 0
3 years ago
HELP Given the set of all odd integers from 1 to 81, what is the probability
dusya [7]

Using it's concept, the probability of choosing a number that is a multiple of 9 is of 0.111.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

From 1 to 81, there are 81 numbers, of which 81/9 = 9 are multiples of 9, hence, considering that 81 is the number of total outcomes and that 9 is the number of desired outcomes, the probability is given the following division:

p = 9/81 = 1/9 = 0.111.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

3 0
1 year ago
In a certain month, Mason spent 1/6 of his salary in the first three days and $800 in the following ten days and after that he w
Nesterboy [21]
<h3>Answer:   $2400</h3>

========================================================

Explanation:

x = Mason's salary in dollars for that month

x/6 = one-sixth of his salary

x/6+800 = total amount spent (the x/6 dollars and $800 combined)

In total, he spent half his salary. This means he spent x/2 dollars for the month overall.

Set the two items equal to one another. Solve for x.

x/6 + 800 = x/2

6(x/6 + 800) = 6*(x/2) ... see note at the bottom of the page

x+4800 = 3x

4800 = 3x-x

4800 = 2x

2x = 4800

x = 4800/2

x = 2400

His monthly salary is $2400

1/6 of this is (1/6)*2400 = 2400/6 = 400 dollars. Add on the $800 he also spent to get a total of 400+800 = 1200 dollars spent, which is exactly one half of the $2400. The answer is confirmed.

-------

Note: I multiplied both sides by 6 to clear out the fractions. The value 6 is the LCD in this case.

7 0
2 years ago
Do parallel lines meet at a 90 degree angle?
MissTica
<span>Parallel lines never meet, and perpendicular lines intersect at a right angle. and do not intersect in this image, but if you imagine extending both lines, they will intersect soon. So, they are neither parallel nor perpendicular.</span>
5 0
3 years ago
Read 2 more answers
PLEASE TELL ME HOW TO PASS A EXAM WHILE YOUR CAMERA IS ON AND YOU ARE FAR FROM THE DEVICE AND YOU DON'T KNOW ANYTHING.
Fantom [35]

Answer:

Step-by-step explanation:

lol put ur books or notes or whatever behind the device and cheat

BUT I really don’t advice u to cheat just try preparing for the exam or do as much as u can and don’t waste ur time at least u would know something while solving the exam.

7 0
3 years ago
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