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madreJ [45]
3 years ago
15

How do you solve this problem step by step

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0
You start by adding 4 to both sides, isolating the X. then you have your answer X < 3
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If three out of four side lengths are all the same would that be a parallelogram?
grandymaker [24]

Answer:

No

Step-by-step explanation:

4 0
3 years ago
Barry wants to take out a loan from his bank for $1,000 to buy a bicycle. The interest rate on the loan from the bank is 9%. He
tekilochka [14]

Answer:

The amount that Barry would pay in interest for his loan is $15.05.

Step-by-step explanation:

To calculate this, we first calculate the monthly required fixed payment using the formula for calculating loan amortization as follows:

P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)

Where,

P = Monthly required fixed payment = ?

A = Loan amount = $1,000

r = monthly interest rate = 9% / 12 = 0.09 / 12 = 0.0075

n = number of payment months = 3

Substituting all the figures into equation (1), we have:

P = ($1,000 * (0.0075 * (1 + 0.0075)^3)) / (((1 + 0.0075)^3) - 1)

P = $338.35

Therefore, we have:

Total repayment = P * 3 months = $338.35 * 3 = $1,015.05

Interest amount = Total repayment - Loan principal = $1,015.05 - $1,000 = $15.05.

Therefore, the amount that Barry would pay in interest for his loan is $15.05.

3 0
2 years ago
Let us have four distinct collinear points $a,$ $b,$ $c,$ and $d$ on the cartesian plane. the point $c$ is such that $\dfrac{ab}
Deffense [45]

Start with a line segment connecting two points, A and B. \dfrac{DA}{BA}=3 means DA is 3 times longer than BA. Clearly, D cannot fall between A and B because that would mean DA is shorter than BA. So there are two possible locations where D can be placed on the line relative to A and B.

But with \dfrac{DB}{BA}=2, or the fact that DB is 2 times longer than BA, we can rule out one of these positions; referring to the attachment, if we place D to the left of A, then DB would be 4 times longer than BA.

Finally, \dfrac{AB}{CB}=\dfrac12, so that CB is 2 times longer than AB. Again we have two possible locations for point C (it cannot fall between A and B), but one of them forces C to occupy the same point as D. However, A, B, C, D are distinct, so C must fall to the left of A.

Now let d be the length of AB. Then the length of CD in terms of d is 4d. We have the coordinates of C and D, and the distance between them is \sqrt{(4-0)^2+(0-4)^2}=4\sqrt2. So

4d=4\sqrt2\implies d=\sqrt2

The slope of the line through C and D is

\dfrac{0-4}{4-0}=-1

and so the equation of the line through these points is

y-4=-(x-0)\implies x+y=4

So the coordinates of A are (x,y)=(x,4-x). The distance between C and A is d=\sqrt2, so we have

\sqrt{(x-0)^2+(4-x-4)^2}=\sqrt{2x^2}=|x|\sqrt2=\sqrt2\implies|x|=1

Since A falls to the right of C (in the x,y plane, not just in the sketch), we know to take the positive value x=1. Then the y coordinate is y=4-1=3.

All this to say that A is the point (1, 3), so

2x+y=2+3=5

5 0
3 years ago
What is 2.53 rounded to the nearest whole number
ella [17]

Answer:

3.

Step-by-step explanation:

4 0
2 years ago
5x-11=3x+5 solve for ”x”
I am Lyosha [343]

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

5x - 11 = 3x + 5

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

<u>Subtract 3x on both sides:</u> 2x - 11 = 5

<u>Add 11 to both sides:</u> 2x = 16

<u>Divide both sides by 2:</u> x = 8

Step 3: Check

<em>Plug in x to verify it is a solution.</em>

5(8) - 11 = 3(8) + 5

40 - 11 = 24 + 5

29 = 29

4 0
2 years ago
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