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2 years ago

How to solve 2x + 3(5-x)-12=4(x+2) step by step

2 answers:

8 0

2x + 3(5 - x) - 12 = 4(x + 2)

1) pass: Delete the parentheses, making the multiplications.
2x + 15 - 3x - 12 = 4x + 8

2) pass: Put the numbers with incognito on the left and change the signal when changing sides if necessary, put the numbers without incognito on the right by changing the signal if necessary.
2x + 15 - 3x - 12 = 4x + 8
2x - 3x - 4x = - 15 + 12 + 8

3) pass: Solve the equations not forgetting the signal rules.
2x - 3x - 4x = - 15 + 12 + 8
- x - 4x = - 3 + 8
- 5x = 5 Simplify by (-1) Exchanging the signals
5x = - 5
$x = \frac{-5}{5}$
$\boxed{x = -1}$

I hope I have helped you, good studies!

larisa86 [58]2 years ago

3 0

2x+3(5-x)-12=4(x+2)

Distribution property:
2x+15-3x-12=4x+8
Add like terms:
-1x+3=4x+8
Add 1x to both sides:
3=5x+8
Subtract 8 from both sides:
-5=5x
Divide by 5 on both sides to get x by itself:

x= -1

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Felipe's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A costs Felipe $4.55 per lb. Type B costs $5.7

RUDIKE [14]

Answer:

Type A coffee in lbs = 97 lbs

Step-by-step explanation:

Type a = 4.55/lbs = x

type b = 5.70/lbs = y

Total in lbs = 147lbs

total in sales = 726.50

First,

x + y = 147 lbs -------------------equ 1

4.55x + 5.70y = lbs ------------ equ 2

Multiply equ 1 by 4.55

4.55x + 4.55y = 668.85 -------------equ 3

4.55x + 5.70y = 726.50 ------------equ 4

Subtracting equ 3 from equ 4

1.15y = 57.65

y = 50

Substituting y = 50 into equ 1

x + 50 = 147

x = 97

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2 years ago

How do you ungroup a 3 digit number? My nephew is working on his homework and I have no clue how to help him.

Talja [164]

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When I was in school, many years ago, we used small superscript-type numbers to show this:

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You'd have to look at the example problems that precede this page in order to see what the meaning of "magnifying glass" is.

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2 years ago

The population of a town increases by 4 % every year . In the last year the population of the town was 110000.

TEA [102]

Answer:

114,400 and 118,976.

Step-by-step explanation:

Let's represent this using a function. Let's let:

$P(y)$ represent the total population, and $y$ represent the total number of years since last year.

We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

$P(y)=110000(1.04)^y$

Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.

Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

$P(1)=110000(1.04)^1=114400$