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3 years ago

9!-4!(5!) How do i solve?

1 answer:

6 0

To simply the expression,we should remember an ! in math represents every number (til 1) before that one multiplied or "the product of the integers from 1 to n"

So now that we have the definitions we can simplify by finding the values of each:

(9x8x7x6x5x4x3x2x1)-(4x3x2x1)(5x4x3x2x1)

After simplifying this will equal to 3600

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Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?

nirvana33 [79]

Answer:

Each pencil costs $0.07 and each eraser costs $0.03

Step-by-step explanation:

System of linear equations

It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.

Let p=the price of each pencil while e is the price each eraser

Julio bought 4 pencils and 3 erasers, spending

$4p+3e=0.37$

David bought 3 pencils and 4 erasers, spending

$3p+4e=0.33$

The system of equations is written in the form

$\left\{\begin{matrix}4p+3e=0.37\\ 3p+4e=0.33\end{matrix}\right$

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

$\left\{\begin{matrix}-12p-9e=-1.11\\ 12p+16e=1.32\end{matrix}\right.$

Adding both equations:

7e=0.21

e=0.03

Multiplying the first one by -4 and the second by 3

$\left\{\begin{matrix}-16p-12e=-1.48\\ 9p+12e=0.99\end{matrix}\right.\end{matrix}\right.$

Adding both equations:

-7p=-0.49

p=0.07

Solution: Each pencil costs $0.07 and each eraser costs $0.03

7 0

3 years ago

15 POINTS!

ollegr [7]

How often do they pay? If they only pay once a year, 90000/100=900. 900 * .52 = 468

6 0

3 years ago

Read 2 more answers

Help with this algebra question

Degger [83]

We have:
3x + 4y = 12
The first thing we should do in this case is clear and.
We have then:
4y = -3x + 12
y = (- 3x + 12) / (4)
Rewriting:
y = (- 3/4) x + 3
We evaluate now for x = 4
y = (- 3/4) (4) + 3
y = -3 + 3
y = 0
The ordered pair is:
(x, y) = (4, 0)
Answer:
y = (- 3/4) x + 3
(x, y) = (4, 0)

6 0

3 years ago

Read 2 more answers

A factory that makes granola bars uses 1⁄6 of a barrel of raisins in each batch. Yesterday, the factory used 5⁄6 of a barrel of

Luda [366]

Answer:

5 Batches.

Step-by-step explanation:

5*1/6 = 5/6

5 0

3 years ago

What is the maximum value of f(x)=−4x2+4x−2?

horrorfan [7]

Answer: -1

Step-by-step explanation: A typical quadratic equation is $ax^{2} +bx+c$ and the maximum value formula is -b/2a, so let plug it in -4/2(-4) which equals 1/2. Then let plug 1/2 into the equation,

-4(1/2)^2+4(1/2)-2=

-1+2-2=

-1

5 0

2 years ago