12x - 10 2(6x - 5) 2(x - 5) 12 (x

Substitute x=y+1 into the expression 3x -1 and determine the first step

Kruka [31]

Answer: the solution becomes 3=y+1-1

Step-by-step explanation:

The first step is to combine like terms meaning you subtract 1-1. Then you are left with 3=y.

8 0

3 years ago

If I can paint 96 sq ft in 15 minutes how long does it take to paint 1 sq ft

White raven [17]

It takes 0.15625 minutes to paint 1 square feet

Solution:

Given that, I can paint 96 sq ft in 15 minutes

To find: Time taken to paint 1 square feet

From given,

96 square feet is painted in 15 minutes

Let "x" be the time taken to paint 1 square feet

Then, we can say,

96 square feet = 15 minutes

1 square feet = x minutes

This forms a proportion and we can solve the sum by cross multiplying

$96 \times x = 15 \times 1\\\\x = \frac{15}{96}\\\\x = 0.15625$

Thus it takes 0.15625 minutes to paint 1 square feet

8 0

3 years ago

Your little brother just learned how to flip and catch a coin. He believes that by catching the coin in mid-air, he can influenc

coldgirl [10]

<h2>Answer explanation:</h2>

If a coin is fair then it has two faces , one is heads and the another is tails.

The probability getting any favorable outcomes is given by the formula :-

$\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}$

So the factor effecting probability is just the number of favorable outcomes and total outcomes.

If a coin is tossed then the probability of getting heads will be :-

$P(H)=\dfrac{1}{2}=0.5=50\%$

To get heads always this should be 1 , which can be happen if number of favorable outcomes is equal to total outcomes.

i.e. Number of heads = Number of total outcomes, this means coin should be biased.

Catching the coin in mid-air can never be a factor for this.

Therefore, the little brother's theory is false.

8 0

2 years ago

For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).

Fiesta28 [93]

Answer:

$\boxed{\sf (f-g)(x) = -{x}^{2} + 3x + 7}$

Given:

$\sf f(x) = 3x + 1 \\ \sf g(x) = {x}^{2} - 6$

To find:

$\sf (f - g)(x) = f(x) - g(x)$

Step-by-step explanation:

$\sf \implies(f - g)x = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) - ( {x}^{2} - 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) + (- {x}^{2} + 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x + 1 - {x}^{2} + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - {x}^{2} + 3x + 1 + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = -{x}^{2} + 3x + 7$

8 0

3 years ago

The instructions on the bag on concrete mix say to add 2 gallons of water to each 8 pounds bag of conceit mix

tiny-mole [99]

Answer:

4 pound

Step-by-step explanation:

From the question :

2 gallons of water = 8 pound bag

Number of pound bag per gallon of water ;

Let the number of pound = x

Using cross multiplication, we'll have :

2 gallons = 8 pounds

1 gallon = x pounds

Cross multiply

2x = 8

x = 8 /2

x = 4

Hence, 1 gallon of water mixes 4 pound bag of concrete.

3 0

2 years ago

12x - 10 2(6x - 5) 2(x - 5) 12 (x - 2) -2(6x + 5)