All categories

3 years ago

6x - 12 < 8x- 14 write an inequality to solve

Mathematics

2 answers:

kifflom [539]3 years ago

4 0

Answer:

1 < x

Step-by-step explanation:

6x - 12 < 8x- 14

Subtract 6x from each side

6x -6x- 12 < 8x-6x- 14

-12 < 2x -14

Add 14 to each side

-12 +14 < 2x

2 < 2x

Divide each side 2

2/2 < 2x/2

1 < x

bezimeni [28]3 years ago

4 0

This is already an inequality.

6x - 12 < 8x - 14
-12 < 2x - 14
1 < x

You might be interested in

Thinking—Level 2 Get Started! Exit A farm raises cows and chickens. The farmer has a total of 40 animals. One day he counts the

dsp73

Answer:

21 pieces of chickens.

Step-by-step explanation:

Given:

The farmer has a total of 40 animals. ( cows and chicken )

He counts the legs of all his animals and realizes he has a total of 118 legs.

Question asked:

How many chickens does the farmer have ?

Solution:

Let number of chickens = $x$

Then number of cows = $40-x$

Now, as here given that total number of legs are 118 of all the animals, and as we know that a chicken has two legs and cow has four legs, hence the equation will be :

Total number of legs = Number of legs having chickens + Number of legs having cows

$118 = 2x+4(40-x)\\118=2x+160-4x$

$118=-2x+160$

Subtracting both sides by 160

$-42=-2x$

By adding both sides by minus

$42 = 2x\\$

By dividing both sides by 2

$x =21$

Hence, farmer have 21 pieces of chickens.

8 0

3 years ago

The _____ _____, denoted ModifyingAbove p with caretp, is given by the formula ModifyingAbove p with caretpequals=_____, wher

Vlada [557]

Answer:

The sample proportion, denoted by ^p, is given by the formula ^p= $\frac{x}{n}$ , where x is the number of individuals with a specified characteristic in a sample of n individuals.

Step-by-step explanation:

Sample proportion is used to determine sample mean, sample standard error and test the hypotheses about the population.

sample mean can be stated as p and sample standard error can be found using the equation $\sqrt{\frac{p*(1-p)}{n} }$ where

n is the sample size

p is the sample proportion

And if n×p×(1-p)≥10, then sample is assumed large enough to assume normal distribution and apply statistical test.

3 0

3 years ago

PLEASE HELP ME WITH THIS

Vedmedyk [2.9K]

Let's start with the drawing. (See the drawing at the bottom of this answer.)

Draw a vertical segment.
At the bottom endpoint, draw a horizontal segment to the right.
The angle at the bottom left is a right angle.
So far this should look like an "L" shape.
The vertical segment is the wall, and the horizontal segment is the ground.

Now draw a segment that connects the right endpoint of the horizontal segment and the top endpoint of the vertical segment. Now you have a right triangle. The diagonal segment represents the ladder. The diagonal segment is the hypotenuse. Label the diagonal segment, the hypotenuse, 12 ft.
Label the vertical segment, the wall, 11.8 ft.

The angle at the bottom right is A. It is the angle the ladder makes with the ground. This angle cannot be greater than 75 degrees.

Now we use trigonometry to find the measure of angle A.

For this right triangle, and its angle A, you have a hypotenuse that measures 12 ft, and an opposite leg that measures 11.8 ft.
We need to find angle A.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

$\sin A = \dfrac{opp}{hyp}$

$\sin A = \dfrac{11.8}{12}$

$\sin A = 0.98333$

Since the sine of angle A equals 0.98333, we use the inverse sine function to find the measure of angle A.

$A = \sin^{-1} 0.98333$

$A = 79.5^\circ$

Answer:
The angle the ladder makes with the ground is 79.5 degrees which is greater than 75 degrees, so the ladder it will be unsafe in this position.

           |\
     | \
     |    \
       |    \
opp = |    \ hyp = 12
= 11.8 |    \
     |       \
     |_______\ A

3 0

3 years ago

What should be subtracted from

pychu [463]

-5a²+13ab should be subtracted.

<h3>Step-by-step explanation:-</h3>

Based on the given conditions, formulate,

$→- {a}^{2} - 4 {a}^{2} + 13ab$