All categories

2 years ago

Solve for x: 6x + 1 over 4 (4x + 8) > 12

Mathematics

1 answer:

sukhopar [10]2 years ago

3 0

Answer:

A. $x>\frac{10}{7}$ .

Step-by-step explanation:

We have been given an inequality $6x+\frac{1}{4}(4x+8)>12$ . We are asked to solve the given inequality for x.

Using distributive property, we will get:

$6x+\frac{1}{4}*4x+\frac{1}{4}*8>12$

$6x+x+2>12$

$7x+2>12$

Subtract 2 from both sides:

$7x+2-2>12-2$

$7x>10$

Divide both sides by 7:

$\frac{7x}{7}>\frac{10}{7}$

$x>\frac{10}{7}$

Therefore, option A is the correct choice.

You might be interested in

k is a an integer for which 1/2^1-k, 1/8. What is the value of k? 1/2^1-k must be equal to 1/8 if i read the question right.

svetlana [45]

Answer:

k = -2

Step-by-step explanation:

If $\frac12^{1-k}=\frac18$

Then

$\frac1{2^{1-k}}=\frac18=\frac1{2^3}$

$1-k = 3$

From this follows k = -2

3 0

3 years ago

Pedro raced 96 km from Perry to Medford and then slowly made his way back. If the round trip took 8 hours, what was Pedro's aver

suter [353]

Answer:

12 km/h

Step-by-step explanation:

Because they are asking for Pedro's average speed, you can divide the distance by the amount of time taken to travel. So in this case, Pedro's speed is equal to 96km/8h, which when divided simplifies to 12km/h. A little tip is to look at the units the answer is asking for (like in this problem it asks what was Pedro's average speed in km per hour). Km per hour is km/h, which will give you a hint on what units you will need to divide by. Hope this helps!

5 0

3 years ago

Hannah earned $1536 in 8 years on an investment at a 4% annual simple interest rate. How much was Hannah’s investment? $4800 $30

Nonamiya [84]

Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800

<h3>How to calculate simple interest amount if rate of interest is R% annually?</h3>

Suppose that the initial amount of investment is P

And the rate of simple interest is R% annually,

And the time of investment is T years.

Then, the amount of simple interest is calculated as:

$I = \dfrac{P \times R \times T}{100}$

For the given case, let the initial investment Hannah made was of $P

Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536

Putting values in the above formula, we get;

$I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800$

Thus,

The investment by Hannah was : Option A: $4800

Learn more about simple interest here:

brainly.com/question/5319581

5 0

2 years ago

Convert the length 7 centimeters to meters. Compare the numerical values when both numbers are written in scientific notation

miv72 [106K]

<span>1. </span><span>Given numbers
=> 7 centimeters convert to meters
In every 1 meter there are 100 centimeters
=> 7 / 100
=> 0.07
Therefore in 7 centimeters there are 0.07 meters.
7 cm is a whole number while 0.07 m is a decimal number
Scientific Notation of each numbers
=> 7 cm = 7 x 10^0
=> 7 m = 1 x 10^-2
Scientific notation by the way is an expression used by the scientist to make a large number or very small number easy to handle.

</span>

4 0

3 years ago

Figure ABCD is a parallelogram.

bogdanovich [222]

A = C (congruent angles)

Then: 4p+12 = 36

Solve for p

4p = 36 - 12

4p = 24

4p/4 = 24/4

p = 6

Answer is going to be A.

6 0

3 years ago

Read 2 more answers