Solve this inequality 8z+3-2z<51

Answers

Answer 1

Answer: 8z - 2z < 51 - 3
6z < 48
z < 48/6
z < 8
Answer: z < 8

Answer 2

Answer: First, let's work on the left hand side of your inequality, the 8z+3-2z
This means, for instance, to see if it can be simplified at all.
Multiply z and 8Multiply z and 1The z just gets copied along.The answer is zz8*z evaluates to 8z8*z+3 evaluates to 8z+3Multiply z and 1The z just gets copied along.The answer is zz2*z evaluates to 2z8z - 2z = 6zThe answer is 6z+38*z+3-2*z evaluates to 6z+3So, all-in-all, the left hand side of your inequality can be written as:6z+3Now, let's work on the right hand side of your inequality, the 51
The right hand side of your inequality can be written as: 51So with these (any) simplifications, the inequality we'll set out to solve is:
6z+3 ‹ 51
Move the 3 to the right hand side by subtracting 3 from both sides, like this:
From the left hand side:
3 - 3 = 0The answer is 6zFrom the right hand side:
51 - 3 = 48
Now, the inequality reads:
6z ‹ 48
To isolate the z, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)
around the z on the left side of the inequality.
The last step is to divide both sides of the inequality by 6 like this:
To divide z by 1The z just gets copied along in the numerator.The answer is z6z ÷ 6 = z48 ÷ 6 = 8The solution to your inequality is:
z ‹ 8 the answer is 48 Multiply z and 2

Related Questions

Are these congruent by SSS, SAS, AAS, ASA?
Find the value of a−b/c−b if a=32, b=8, c=30. Write your answer as a simplified mixed number.
What is the area of a square with sides of length 6?
Write each fraction as a ratio in simplest form.
Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lbs. If x represents the number of 3 lb weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has?

Find the differential of this function. y=tan*sqrt(t)

Answers

y = tan (√ t )
We will use chain rule.
( tan x ) ` = sec² x
( √ t ) ` = 1 / 2√t
y ` = sec² (√ t ) · 1 / 2√t
y` = 1/cos² ( √ t ) · 1 / 2√t

Lauren Petus paid $27 for a dress that was 10% off the list price. What was the list price of the dress?

Answers

$30

27/0.90=30
I think this is right sorry if it’s not

Explain how a number and its reciprocal are related

Answers

A number's reciprocal when multiplied by the original form of the number is, and always will be, 1.

Identify the solutions of the system of equations, if any
x+5y=6
6x-10y=12

Answers

$\left \{ {{x+5y=6} \ \ |2\atop {6x-10y=12}} \right. \n\n\n \left \{ {{2x+10y=12} \atop {6x-10y=12}} \right. \n ======== \n\n 8x=24 \ \ \ |:8 \n\n \boxed{x=3} \n\n x+5y=6 \n\n 5y=6-x \n\n y=(6-x)/(5) \n\n y=(6-3)/(5) \n\n \boxed{y=(3)/(5)}$

so assuming x and y remain constant, we can make one of the place holders negative and add the equations together to cancel each other out so

we can cancel out the y terms since 5 is close to 10
(x+5y=6) times 2=2x+10y=12
add this to 6x-10y=12
2x+6x+10y-10y=12+12
8x=24
divide both sides by 8
x=3
subsitute into first equation
x+5y=6
3+5y=6
5y=3
y=3/5
x=3

Whats the difference of 89,24&17

Answers

I interpret the first number to be 89.24, so 84 and 24 hundredths.

The difference would be by how many numbers they differ, so we subtract the smaller from the bigger:

89.24-17=12.24

this would be their difference!

If a kite is 40 feet off the ground and the string holding the kite is 42 feet long, what is the angle of elevation to the kite

Answers

By comparing the given situation with a right triangle, we will find that the elevation angle is 72.2°

So let's think of the given situation as a right triangle, where the height is one cathetus (the opposite one to the elevation angle) and the length of the string is the hypotenuse.

Then we can just use the relation:

Sin(θ) = (opposite cathetus)/hypotenuse

Where:

opposite cathetus = 40ft
hypotenuse = 42ft.

Replacing that we get:

Sin(θ) = 40ft/42ft

θ = Asin(40/42) = 72.2°

Thus, the elevation angle is 72.2°

If you want to learn more about right triangles, you can read:

brainly.com/question/20142200

In this case, 40ft is the vertical distance from the ground, which is the height. This means that the kite and the string form an angle with the horizontal ground. A right angled triangle is formed. Use the inverse of sine to get the angle.

Other Questions

What is the answer to this? Justify your reasoning, please!

Chris Built a rectangular snow fort with a perimeter of 24 feet. The length of the fort was 8 feet less than 3 times the width. What was the length (x) and width (y) of the fort

X 2, k, l, equals, 5, x, minus, 6, commakl=5x-6,kl=5x−6, and j, k, equals, 3, x, commajk=3x,jk=3x,

A company has a policy making the compensation of its CEO proportional to the dividends that are paid to shareholders. If the dividends increase from $72 to $80 and the CEO’s compensation is increased from $360,000 to $420,000, was the company’s policy followed? yes or no