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alexandr402 [8]
3 years ago
9

How many solutions for linear equation 3x + 5y = 25 can be found so that −20 < y < 10, and x is an integer?

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

50

Step-by-step explanation:

3x = 25 - 5y

-100 < 5y < 50

-50 < -5y < 100

-25 < 25 - 5y < 125

-8.333 < x < 41.667

41+8+1 = 50

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In 2008 Alice bought a house. In 2014 she sold it for a 20% profit. In 2019 it was then sold at a 5% loss for £182,400 Work out
Wittaler [7]

Answer:

£160,000

Step-by-step explanation:

Alice bought the house in 2008 for £x.

In 2014, the house sold for a 20% profit, so it sold for 1.2x. (* see explanation below)

In 2019, the house sold for a 5% loss, so it sold for 0.95(1.2x). (* see explanation below)

In 2019, it sold for £182,400.

0.95(1.2x) = 182,400

1.14x = 182,400

x = 182,400/1.14

x = 160,000

Answer: £160,000

* Explanation of 1.2 and 0.95.

A quick way to apply a percent increase or decrease to a number is to using the following method. The number you start with is 100% of the number. If you are adding a percent to it, then add the percent to 100% and convert it to a decimal. If you are subtracting the percent, then subtract the percent from 100% and convert to a decimal. Then multiply the decimal by the original number to find the increased or decreased number.

Example of percent increase:

A book used to cost £10. The price went up by 12%. What is the new price?

100% + 12% = 112% = 1.12

1.12 * £10 = £11.20

Example of percent decrease:

A pair of trousers costs £60. It is on sale at 35% off the regular price. What is the sale price?

100% - 35% = 65% = 0.65

0.65 * £60 = £39

5 0
2 years ago
The driving distance from Alex's house to the museum is 6 7/10 miles. What is the round-trip distance?
lions [1.4K]
Round trip is going there and back so it is 2*(6 7/10)=12 14/10=13 4/10=14 2/5
7 0
3 years ago
Read 2 more answers
Nathan opens a new savings account and makes an initial deposit of $400.
AfilCa [17]

Answer:

The answer to the first one is 6

Step-by-step explanation:

If the time frame given is 9 months, then we can find that 9 months is 3/4 of a year. 3/4 x 2% = 0.015.     0.015 x 400 = 6. He would have made 6 dollars in 9 months.

Answer the the second one:

4.5% x 5 (years) = 0.225.     0.225 x 10,000 = 2,250. Since this is a car loan and not a bank interest for example, we add it to the total cost. I'm pretty sure its the third one.

6 0
3 years ago
Which statement is true? A.27/19&lt;11/30 B.17/31&gt;19/14 C.16/26&gt;30/31 D.35/30&lt;22/12
Mrac [35]

A. \frac{27}{19}

To find greater than or smaller than relation, we multiply the terms like (numerator of L.H.S with denominator of R.H.S and put the value on the left side. Then multiply the denominator of L.H.S with numerator of R.H.S and put the value on right side. Now compare the digits.)

So, solving A,  we get 810<209  ... This is false

B. \frac{17}{31}>\frac{19}{14}

= 238>589   ..... This is false

C. \frac{16}{26}>\frac{30}{31}

= 496>780    .... This is false

D. \frac{35}{30}

= 420<660   ..... This is true

Hence, option D is true.

6 0
3 years ago
E=I×R and P=E×I what is the formula that will solve for R when only E and I are known
blagie [28]

You wrote it there yourself, at the beginning of your question.

You wrote                             E       =  I  x  R

Divide each side by  ' I ' :    E / I  =  R

That's what you're asking for. ^

4 0
3 years ago
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