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3 years ago

Algebra 1 help please!

Mathematics

1 answer:

Vsevolod [243]3 years ago

7 0

Answer:

$x=46$ and $y=45$

Step-by-step explanation:

To solve this, you must set up a system of equations. The first sentence says that there are two numbers and that their sum is 91, so your first equation is $x+y=91$ . For the next equation, it says that the difference of those same numbers is 1, which means that the equation is $x-y=1$ . Now, putting those two together for the system of equations, it's easiest to add them. The result will be $2x=92$ which when simplified gives you the value of x. Taking the value of x, you can substitute in the second equation to find the value of y.

Hope this helped!

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In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion

lys-0071 [83]

$\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k$

-------------------------------------------------------------

$\displaystyle
(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\
n=5\\
k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10$

It's 10.

----------------------------------------------------

$\displaystyle
(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\
n=5\\
k=4\\\\
\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90$

It's 90

6 0

3 years ago

1/4 x 8/15 in simplest form

Over [174]

This in the simplest form will be 2/15. You cannot divide this answer by anything which means it is in its simplest form!

Please give brainliest❤️

4 0

2 years ago

Read 2 more answers

Jada ran 15.25 kilometers. Han ran 8,500 meters. Who ran farther?

Thepotemich [5.8K]

Answer:

Jada

Step-by-step explanation:

We are given Jada's distance in kilometers and Han's distance in meters. To compare the two we need to have them both in the same unit of measurement.

One kilometer is equal to 1000 meters, so Jada ran 15.25*1000=15250 meters.

Compared to Han, who ran 8500 meters, Jada ran farther. 15250>8500.

4 0

2 years ago

What is two more than 4 times a number is -18 translated and solved

Brrunno [24]

Answer:

n=-5

Step-by-step explanation:

Let "n" represent the unknown number.

So, the equation asks for 4n and two more, or +2, that is all equal to -18.

So, your equation will be:

$4n+2=-18$

First, subtract 2 from both sides:

$4n+2-2=-18-2\\4n=-20$

Then, divide both sides by 4:

$\frac{4n}{4}=\frac{-20}{4}\\n=-5$

Therefore, n=-5.

3 0

3 years ago

1. John Smith has a past due balance of $80 on his account. He called today to pay off his balance in full. You receive 25% comm

77julia77 [94]

Answer: $20

Step-by-step explanation:

From the question, we are informed that John Smith has a past due balance of $80 on his account and out of the $80 paid, 25% will be given as commission.

Therefore, the total commission received from John's payment will be:

= 25% × $80

= 25/100 × $80

= 0.25 × $80

= $20

The commission is $20

7 0

2 years ago