1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NeX [460]
3 years ago
12

Can someone please explain why 33 and 35 are these answers?

Mathematics
1 answer:
nordsb [41]3 years ago
7 0
For #32,
P=2L+2W
Subtract 2W from both sides, and swap left and right
2L = P-2W
Divide by 2
2L/2=(P-2W)/2
L = P/2 - 2W/2
L=P/2 - W

For #35
Most of the expenses are in fractions (of the original amount, A), so they can be added:
A/4 + A/5 + 2A/5 + 750  = A
add the fractions, with a common denominator of 20,
5A/20 + 4A/20 + 8A/20 +750  = A
(5A+4A+8A)/20 +750 = A
17A/20 + 750 = A

Now subtract 17A/20 from both sides and swap left and right
A - 17A/20 = 750
(3/20)A = 750

Multiply both sides by 20/3  (to make one unit of A on the left)

(3/20)*(20/3) A = 750*20/3
A =250*20=5000

You might be interested in
An equation is shown below: 3(2x − 7) = 9
Katen [24]

Answer:

1 solution

Step-by-step explanation:

3(2x-7)=9

dustribute: (3)(2)+(3)(-7x)=9

6+-21x=9

subtract 6 from both sides: -21x=3

Divide both sides by -21: x=-1/7

so your 1 solution is x = - 1/7

3 0
2 years ago
Which could be a binomial expansion of (4x + y)?
Komok [63]

Answer: D

Step-by-step explanation:

(4x+y)^3\\\\=(4x)^3+3*(4x)^2*y+3*(4x)*y^2+y^3\\\\=64x^3+48x^2y+12xy^2+y^3\\\\Answer\ D

8 0
2 years ago
Simplify<br> 19 – 1.67x + (–2.4)
Kazeer [188]

Answer: 16.6 - 1.67x

8 0
2 years ago
What is x – 8.1 = 5.3
Artemon [7]
Add 8.1 to both sides to find x!
hope this helps :-)

6 0
2 years ago
Read 2 more answers
Use a proof by contradiction to show that the square root of 3 is national You may use the following fact: For any integer kirke
Ierofanga [76]

Answer:

1. Let us proof that √3 is an irrational number, using <em>reductio ad absurdum</em>. Assume that \sqrt{3}=\frac{m}{n} where  m and n are non negative integers, and the fraction \frac{m}{n} is irreducible, i.e., the numbers m and n have no common factors.

Now, squaring the equality at the beginning we get that

3=\frac{m^2}{n^2} (1)

which is equivalent to 3n^2=m^2. From this we can deduce that 3 divides the number m^2, and necessarily 3 must divide m. Thus, m=3p, where p is a non negative integer.

Substituting m=3p into (1), we get

3= \frac{9p^2}{n^2}

which is equivalent to

n^2=3p^2.

Thus, 3 divides n^2 and necessarily 3 must divide n. Hence, n=3q where q is a non negative integer.

Notice that

\frac{m}{n} = \frac{3p}{3q} = \frac{p}{q}.

The above equality means that the fraction \frac{m}{n} is reducible, what contradicts our initial assumption. So, \sqrt{3} is irrational.

2. Let us prove now that the multiplication of an integer and a rational number is a rational number. So, r\in\mathbb{Q}, which is equivalent to say that r=\frac{m}{n} where  m and n are non negative integers. Also, assume that k\in\mathbb{Z}. So, we want to prove that k\cdot r\in\mathbb{Z}. Recall that an integer k can be written as

k=\frac{k}{1}.

Then,

k\cdot r = \frac{k}{1}\frac{m}{n} = \frac{mk}{n}.

Notice that the product mk is an integer. Thus, the fraction \frac{mk}{n} is a rational number. Therefore, k\cdot r\in\mathbb{Q}.

3. Let us prove by <em>reductio ad absurdum</em> that the sum of a rational number and an irrational number is an irrational number. So, we have x is irrational and p\in\mathbb{Q}.

Write q=x+p and let us suppose that q is a rational number. So, we get that

x=q-p.

But the subtraction or addition of two rational numbers is rational too. Then, the number x must be rational too, which is a clear contradiction with our hypothesis. Therefore, x+p is irrational.

7 0
3 years ago
Other questions:
  • CAN SOMEONE please help me with this hard homework question i will really appreciate if you did
    8·1 answer
  • What is the value of (gof) (6)?
    8·1 answer
  • Abdul drove 320 miles using 12 gallons of gas. At this rate, how many gallons of gas would he need to drive 296 miles?
    11·2 answers
  • Can someone help me with a and b thank you
    10·1 answer
  • A store sells a box of high liters that contains 4 yellow, 3 blue, 2 pink, and 1 green high liter. What is the probability of ra
    12·1 answer
  • Which statement is false?
    7·1 answer
  • Can a unit rate be a fraction
    6·2 answers
  • In simplest form what is 2/7 + 2/5
    13·1 answer
  • Kit charges customers an initial fee plus a certain amount per hour to walk their pets. The table below shows the amount of mone
    7·1 answer
  • Can someone please give me the (Answers) to this? ... please ...
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!