All categories

4 years ago

HW Set 1/ Directions: Solve each equ 1. ) 4x + 27 = 3x

Mathematics

1 answer:

gavmur [86]4 years ago

8 0

Answer:

x = -27

Step-by-step explanation:

4x+27=3x

Subtract 3x from both sides of the equation.

==> 4x + 27 -3x = 3x - 3x

==> 4x - 3x + 27 = 0

==> 1x + 27 = 0

Subtract 27 from both sides,

==> x + 27 - 27 = 0 - 27

==> x = -27

You might be interested in

One study shows that American adults eat about 31 pounds of cheese each year. How many years does it take for an adult to eat 1,

ladessa [460]

Answer:

It would take 48 years for adults to eat 1,500 pounds of cheese.

Step-by-step explanation:

1,500 ÷ 31 = 48

— based on my knowledge

8 0

3 years ago

PLEASE HELP ASAP Jada made 10 cups of blueberry jam and divided the jam equally among 4 containers. How much jam went in each co

harina [27]

Answer:

Step-by-step explanation:

10 cups divided by 4 containers = 2.5 or 5/2 cups per 1 container

6 0

3 years ago

You enter a chess tournament where your probability of winning a game is 0.3 against half the players (call them type 1), 0.4 ag

Doss [256]

The probability of winning is 0.44 .

Step-by-step explanation:

Here it's given that , You enter a chess tournament where your probability of winning a game is 0.3 against half the players (call them type 1), 0.4 against a quarter of the players (call them type 2), and 0.5 against the remaining quarter of the players (call them type 3). You play a game against a randomly chosen opponent. More precisely :

$Probability(type1) = 0.3\\Probability(type2) = 0.4\\Probability(type3) = 0.5\\\\Probability(winning) = w$

Now, we choose a random opponent and we need to find probability of winning which is possible as :

1. player chosen from type1

2. player chosen from type2

3. player chosen from type3

Combining all cases we get :

⇒ $w = type1(1-type2)(1-type3) + (1-type1)type2(1-type3) + (1-type1)(1-type2)type3$

⇒ $w = 0.3(0.6)(0.5)+0.7(0.4)(0.5)+0.7(0.5)(0.6)$

⇒ $w = 0.44$

∴ The probability of winning is 0.44 .

8 0

3 years ago

What must be added to x² + 6x²-x+ 5 to make it exact divisible by (x + 3)

maxonik [38]

Let f(x) = x² + 6x²-x+ 5 then ,

number to be added be P

then,

f(x) = x² + 6x²-x+ 5 +P

According to the qn,

(x+3) is exactly divisible by zero then,

R=0

comparing .. we get a= -3

now by remainder theorm

R=f(a)

0=f(-3)

0=(-3)² + 6(-3)²-(-3)+ 5 + P

0= 9 + 54 + 3 + 5 + P

-71=P

therefore, -71 should be added.

Hope you understand

4 0

2 years ago

Identify the slope and you intercept y=3x-4

Ostrovityanka [42]

The slope is 3
the y intercept is -4

7 0

3 years ago