Solve x-7.6+9.4= -8.4

Answers

Answer 1

Answer: x - 7.6 + 9.4 = -8.4

First, simplify to x + 1.8
Your problem should look like: $x + 1.8 = -8.4$
Second, subtract 1.8 from both sides.
Your problem should look like: $x = -8.4 - 1.8$
Third, simplify.
Your problem should look like: $x = -10.2$

Answer: x = -10.2

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With a principal investment of $19,200, which account will have the greatest value after 5 years? simple interest: I = P • r • t interest compounded annually is A = P (1 + r)t interest compounded quarterly: A = P (1 + )4t A. 3.6% with interest compounded annually B. 3.8% in a simple interest account C. 3.4% with interest compounded annually D. 3.2% with interest compounded quarterly

Answers

Given:
Principal: 19,200
term: 5 years

a) Interest compounded annually:
A = 19,200 (1 + 0.036)^5
A = 19,200 (1.036)^5
A = 19,200 (1.1934)
A = 22,913.28

b) Simple Interest
I = 19,200 * 0.038 * 5
I = 3,648.38

19,200 + 3,648.38 = 22,848.38

c) Interest compounded annually
A = 19,200 (1 + 0.034)^5
A = 19,200 (1.034)^5
A = 19,200 (1.182)
A = 22,694.40

d) Interest compounded quarterly
A = 19,200 (1 + 0.032/4)^4*5
A = 19,200 (1 + 0.008)^20
A = 19,200 (1.008)^20
A = 19,200 (1.173)
A = 22,521.60

Mrs. Smith decides to buy three sweaters and a pair of jeans. she had $120 in her wallet. if the price of jeans is $45,what is the highest possible price (p) of a sweater, if each sweater, if each sweater is the same price? write, solve, and graph the inequality.

Answers

Answer:

$3s+2j\leq $120$ . The sweaters cost $10 or less each. We graph it on a number line at 10 and use a filled in dot pointing towards zero for less than.

Step-by-step explanation:

Mrs. Smith buys 3 sweaters (represented by 3s) and 2 jeans (represented by 2j) for a total of at most $120. We don't know the total but we do know she couldn't spend more than $120.

We write $3s+2j\leq $120$ .

We know the jeans cost $45 each, so j=45. We substitute,

$3s+2(45)\leq $120\n3s+90\leq $120$

We solve for s by subtracting 90 to the other side and dividing the result by 3.

$3s+90-90\leq 120-90\n3s\leq 30\n(3s)/(3)\leq(30)/(3)$

$s\leq 10$ .

The sweaters cost $10 or less each.

3. Laura walks 3/5 mile to school each day. Isaiah walk to school is 3 times as long as Laura's. Howfar does Isaiah walk to school each day?

Answers

Lets write down what we know...

Laura walks 3/5 mile to school everyday

Laura=3/5mile

Isaiah's walk is 3 times as long as Lauras, so

Isaiah=Laura*3

We know how far Lauras walk is so we can solve for Isaiah's walk

Isaiah=3/5*3 (or Isaiah=3/5+3/5+3/5 if thats easier for you to solve for)
Isaiah=9/5 miles

Now we know the answer! Great, Isaiah walks 9/5 miles to school each day. But 9/5 is an improper fraction, so lets convert it to a mixed number.

9/5=

To solve for this, we have to find out how many times 5 can go into 9. 5 goes into 9 one time with a remainder of 4, so we can write the mixed number as.

9/5= 1 4/5

Isaiah walks 9/5miles or 1 4/5 miles. Both are correct.

In this question, it is important to understand the words of the problem and then note down the details already provided in the problem. This will make the solving of this problem easier.Now coming to the details already given.
Distance walked by Laura to reach school each day = 3/5 mile
Distance walked by Isaiah to reach school is 3 times that of Laura and it is already given in the question.
Then
The distance walked by Isaiah to reach school each day = (3/5) * 3
= 9/5
= 1 4/5
So Isaiah walks a distance of 1 4/5 miles each day for reaching school. I hope that the procedure of doing such problems is clear to you and yiou can attempt such problems in future without needing any help.

Paolo pays $244 for 5 identical calculators. About how much does Paolo pay for one calculator?

Answers

In the question, all details are given. using these details it would be easy to determine the required answer. It is already given that Paolo paid $244 for buying 5 identical calculators. It is required to find the amount necessary to buy a single calculator.
Then
Amount required for buying 5 calculators = 244 dollars
Amount required to buy 1 calculator having same specification = (244/5) dollars
= 48.80 dollars
So the amount required to buy 1 calculator having identical features is $48.80

$244 for all 5 calculators so 244/5= $48.80 is what he paid for each calculator

the population of the world is approximately 6200 million people. it is increasing by approximately 93 million people each year. use this information to calculate the percentage increase in the population over a year.

Answers

Given:
approximate population: 6,200 million
approximate increase: 93 million

Percentage increase:

93,000,000 / 6,200,000,000 = 0.015
0.015 x 100% = 1.5% increase

Explain how to use proportional reasoning to find 35 percent of 600

Answers

You can divide 35 by 100 then multiply by 600

You can divide 35 into 600

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