the difference between two positive integers is 40. one integer is three times as great as the other. find the integer.

Answers

Answer 1

Answer: Be the integers: x and y

x - y = 40
x = 3y

Replace x in the first equation:

3y - y = 40
2y = 40
y = 20
x = 60

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Justin wants to buy a new bike that costs $115. He has $40 and plans tosave $15 each week. What is the equation the represents this situation.

Answers

15x+40=115

15x means 15 per week solve for x if you want to know how many weeks 40 is what he has only once

84-63i in conjugate form?.

Answers

Conjugate form of complex number:
z = a + b i is a - b i
and for : z = a - b i is : a + b i
Conjugate form of 84 - 63 i is : 84 + 63 i

Simplify the sum 4/m+9 + 5/m2 - 81

Answers

factor
m^2-81=(m-9)(m+9)
multiply other equation by (m-9)/(m-9)

4(m-9)/(m^2-81)+5/(m^2-81)
(4(m-9)+5)/(m^2-81)
(4m-36+5)/(m^2-81)
(4m-31)/(m^2-81)

The answer to the question is 4m-31/(m-9)(m+9)

Simplify (x^2+5x+1)(x^2+x+3)

Answers

It can be simplified as follows:

x^4 + x^3 + 3x^2 + 5x^3 + 5x^2 + 3

Now, we combine the like terms, so:

x^4 + 6x^3 + 8x^2 + 3

write an expression that shows how you can multiply 9*475 using expanded form and the distributive property

Answers

475 = 400 + 70 + 5

therefore

9 × 475 = 9 × (400 +70 + 5) = 9 × 400 + 9 × 70 + 9 × 5
=3600 + 630 + 45 = 4275

I think... It's better to use Distributive Property:
(a - b) × c = a × c - b × c

9 = 10 - 1

therefore:
(10 - 1) ×475 = 10 × 475 - 1 × 475 = 4750 - 475 = 4275

Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15, end of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways.Write an inequality to determine the number of days, Darcie can skip crocheting and still meet her goal.