Solve the inequality:
14.3 > 5(z- 2) - 2.1

Answers

Answer 1

Answer:

z < 5.28

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

14.3 > 5(z - 2) - 2.1

Step 2: Solve for z

Distribute 5:                          14.3 > 5z - 10 - 2.1Subtract:                                14.3 > 5z - 12.1Add 12.1 on both sides:        26.4 > 5zDivide 5 on both sides:        5.28 > zRewrite:                                 z < 5.28

Here we see that any value z smaller than 5.28 would work as a solution to the inequality.


Related Questions

You estimate that a puppy weighs 12 pounds. The actual weight of the puppy is 14 pounds. Find the percent error. Round your answer to the nearest hundredth of a percent.

Answers

Answer:

The Estimated weight of the puppy = 12 pounds

Actual weight of the puppy = 14 pounds

Difference in estimated weight and actual weight = 14 - 12

= 2 pounds  

⇒ [(14 - 12)*100]/14

⇒ (2*100)/14

⇒ 200/14

⇒ 14.285 %  

Which of the following can be done by using conditional formatting?
Calculate quarterly sales.
Highlight all “no” responses.
Count the number of students in high school.
Calculate average scores on a math test.

Answers

Answer:

B

Step-by-step explanation:

Which of the following can be done by using conditional formatting?

Calculate quarterly sales.

Highlight all “no” responses.

Count the number of students in high school.

Calculate average scores on a math test.

Conditional formatting applies formatting to cells if specific conditions are met. For example, conditional formatting can be used to apply background color to “no” responses in a customer satisfaction survey. This will allow the business owner to quickly locate and read customer complaints and identify areas for improvement.

Conditional formatting involves applying cell formats to certain cells, if and only if they meet certain criteria.

Highlighting all "no" responses can be done using conditional formatting.

Options (a), (c) and (d) are all direct calculations that can be executed using Microsoft Excel functions and formulas such as:

SUM; to calculate quarterly sales (a)COUNT, to count number of students (c)AVERAGE, to calculate the average score (d)

However, option (b) indicates that;

The cell is to be highlighted

And the condition for highlighting the cell is that:

The content of the cell is "no"

By comparing the above analysis to the meaning of conditional formatting, we can conclude that, conditional formatting can only be applies to option (b).

Read more about conditional formatting at:

https://brainly.com/question/22754240

The ascent can be modeled by a different proportional relationship y=kx. What is the value of k in this case?



Write your answer as a simplified fraction

Answers

Answer: the the answer

35814/3600

help ASAP will mark brainliest

Answers

The answer is 1/23 that’s right

Answer:

1/2

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:23+8+10+9=

50

23/50

About 1/2

Does this graph represent a proportional relationship?
Explain.

Answers

ANSWER: no

EXPLAIN: because a proportional relationship graph would have a straight line running through the origin

Find the x-intercept and y-intercept of the line.
- 8x+ 5y = 18
Write your answers as exact values. Do not write your answers as ordered pairs.
x-intercept:
Y-Intercept:

Answers

X= -9/4
Y= 18/5

I’m so sorry if I’m wrong:(

There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon. How many milliliters are in 1 quart?

Answers

I’m gonna say 946.352 milliliters are in a quart.

: The population of birds on an island is estimated to increase by 10% every year.
The population of birds on the island is 20000.
Calculate an estimate for the population of birds in three years time.​

Answers

Answer:

26620

Step-by-step explanation:

20,000 x 10% is 2000 = 22000

22,000 x 10% is 2200 = 24200

24200 x 10% is 2420 = 26620

Answer:

22,000

Step-by-step explanation:

equations is total amount = amount x (multiplier)^years

step one: 100+10 over 100 = 1.1 which the multiplier

step two : substitute 20,000 X(1.1)^3

3 because of how may years

and step three enter on calculator and get 22,000 as the answer

I REALLY NEED HELP :(

When the expression 102021 − 2021 is evaluated, the result is a very large number.
You probably do not have enough time to perform the calculation. So, in an
effort to save you some time and paper, instead of evaluating the expression
102021 − 2021, determine the sum of the digits in the difference.

Answers

Answer:

100,000

Step-by-step explanation:

Two friends live 7 miles apart.One Saturday,the two friends set out on their bikes at 8am and started riding towards eachother one rides at 0.2miles per minute,And the other rides at 0.15 miles per minute,At what time will the two friends meet

Answers

Answer:

The two friends meet at [tex]8:20 \:\text {am}[/tex].

Step-by-step explanation:

Given: Two friends live [tex]7[/tex] miles apart. The two friends set out on their bikes at [tex]8[/tex] am and started riding towards each other one rides at [tex]0.2[/tex] miles per minute, and the other rides at [tex]0.15[/tex] miles per minute.

To find: The time when the two friends meet.

Solution:

Distance between two friends [tex]=7 \:\text{miles}[/tex]

Speed of one friend [tex]=0.2 \:\text{miles per minute}[/tex]  

Speed of other friend [tex]=0.15 \:\text{miles per minute}[/tex]

Since, both are riding towards each other, the net speed will be [tex]0.2+0.15=0.35 \:\text {miles per minute}[/tex].

We know that,  [tex]\text{time}=\frac{\text{Distance}}{\text{Speed}}[/tex]

So, time taken to cover [tex]7 \:\text{miles}=\frac{7}{0.35} =20 \:\text{minutes}[/tex]

Now, both the friends set out on their bikes at [tex]8[/tex] am and started riding towards each other. So, the two friends meet after [tex]20[/tex] minutes.

Hence, the two friends meet at [tex]8:20 \:\text {am}[/tex].    

Two step equation with the solution of 5 ..

Answers

Answer:

2 times 7, 14-9

Step-by-step explanation:

2 times 7 = 14

14-9=5

please answer the question

Answers

Answer:

It is B

Step-by-step explanation:

If you multiply 35 with the number on the left of the chart, it gives the exact number, thus it is correct

Ryan drove 205 miles in 5 hours. If he drove at a constant rate, how far did he travel in one hour? On the double number line below, fill in the given values, then use multiplication or division to find the missing value.

Answers

41 miles

he drove 41 miles in an hour at that rate

At T.J. Maxx, keychains are sold individually. The cost y of keychains is represented by the equation y = 0.95x . The costs of keychains at Marshalls are shown in the table below. Where do the keychains cost?

Answers

Answer:
Keychains at Marshalls cost less than keychains at T.J. Maxx

Explanation:
If you replace x on the equation for the same number of keychains on the table it would give you the price

what is the weight shown by the arrow?​

Answers

Answer:

550

Step-by-step explanation:

Convert from Standard Form to Slope-Intercept Form.
2x + 5y = 40

pls help

Answers

Answer: y = -2/5x +8

Step-by-step explanation:

5y = -2x + 40 (subtract 2x from both sides)y = -2/5x + 40/5 (divide both sides by 5)y = -2/5x + 8 (simplify)

Pls help.. my question is... .. Solve: 5 - 2x < 21​

Answers

Answer

The answer is x > -8

t = (F^3 + G)a
Find a

Answers

and that is how you are supposed to do

Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x - 6.

Answers

Answer:

y = -0.25x + 2.25

Step-by-step explanation:

First, you can simplify the equation of the line it's perpendicular to (2y = 8x - 6) by dividing both sides by 2. This means you would get y = 4x - 3. From that you can conclude that the slope of that line is 4.

Lines always have a slope that is the negative reciprocal of the slope of the line they are perpendicular to, so you know the slope of the line is going to be -1/4.

So far, you have the equation y = -1/4x + b and you have to find b.

You can substitute in the point (-3, 3) so you would have 3= -1/4 * -3 + b

Solving,

3 = 3/4 + b

b = 2 and 1/4

Therefore the equation is y = -1/4x + 2 1/4 or y = -0.25x + 2.25

7s + m + t = l

a = 3(s + 4)

4 = g(s – 7)

22 + 5s = g

r = q – 3s

pls asnser these thank you i will give brainliest to the first one to answer all of them. you have to make s the subject.

Answers

Answer:

s=I-t-m/7

s=a-12/3

s=g-22/5

s=r-q/-3

Can you please help me answer this picture​

Answers

EQUATIONS

We'll solve this equation:

5x + 17 = 4(3x - 1)

First, let's apply the distributive property:

‎      ‏‏‎5x + 17 = 4(3x - 1)

‎      ‏‏‎5x + 17 = 12x - 4

Now, add 4 to both sides of the equation:

‎      ‏‏‎5x + 17 = 12x - 4

5x + 17 + 4 = 12x - 4 + 4

‎      ‏‏‎5x + 21 = 12x

Substract 5x from both sides:

‎  ‎     ‏‏‎5x + 21 = 12x

5x - 5x + 21 = 12x - 5x

‎      ‏‏‎‎      ‏‏‎‎   21 = 12x - 5x

‎      ‏‏‎‎      ‏‏‎‎   21 = 7x

Now, divide both sides by 7

‎      ‏‏‎‎   21 ÷ 7 = 7x ÷ 7

‎      ‏‏‎‎   ‎    ‏‏‎‎ 3 = x

Therefore, x = 3.

‎      ‏‏‎‎    

B. The equation has one solution.

Answer:

Option B. One Solution

Step-by-step explanation:

5x+17= 4(3x-1)

5x+17 = 12x-4

17+4 = 12x-5x

21. = 7x

thus, x=3 (one solution)

A ​56 inch pipe is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
The shorter piece is ___inches long.

Answers

Answer:

Piece A: 42 inches

Piece B: 14 inches

Step-by-step explanation:

If the pipe is 56 inches long and divided into 2 parts with a 3;1 ratio, then you would divide 56 by 4 (3;1->3+1) to get 14. 14 would be the smaller piece, then you'd multiply 14 by 3 to get 42 inches because theres 3 parts for the larger piece in the ratio of 3;1. :) the explanation is probably really weird but the answer should be correct anyways

can someone help me with this?

Answers

It’s the first one :)

How do i find the inverse of a function?

Answers

Answer:

the inverse of something is a fraction

Step-by-step explanation:

If you wanna inverse something from a number do 5 = 1/5

If u wanna do fraction to a number 1/5=5

and if you have a term it would just be that term like x if you were to inverse 5x = x

does anybody know this answer I'm just checking the (answer asap)

Answers

Answer:

you are right

Step-by-step explanation:

C=d*pi

a. for d/C, it would be d/C=1/pi

c. for pi/C, it would be pi/C=1/d

d. for pi/d, it would be I don't wanna do, but it doesn't matter cause it's wrong

therefore, C/d=pi

is correct

Write the equation for the proportional relationship. (Don't use spaces)

Answers

y=3.4x
2*3.4=6.8
5*3.4=17
8*3.4=27.2
11*3.4=37.4

Micah is 6 years younger than Raul.
Write an expression to show how to find Micah’s age when Raul is 14. Help plz

Answers

Answer:

14-6

Step-by-step explanation:

what equation matches this situation.mai biked x miles han biked 2/3 more than that

Answers

Answer:

i need more information like how much mai biked

Step-by-step explanation:

I NEED THIS NOWWW PLS HELPPPP

Answers

Answer:

Right there

Step-by-step explanation:

You have the answer there the chart is done for you

Answer:

Step-by-step explanation:

So, to solve this, just look at the answers and write out how y would change as you added 1 to x, and the correct answer is whichever matches. The correct answer is D, but I'll edit with exact details so you can look into how to solve this problem when you're not in a hurry.

A recipe for sparkling water calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice how much sparkling water will you need to mix 9 quarts of grape juice

Answers

Answer: 18 quarts

Step-by-step explanation:

Quantity of sparkling water and gape juice are used in proportion in  the recipe.

Let x=  quantity of sparkling water when 9 quarts of grape juice is used.

Then,

[tex]\dfrac{x}{9}=\dfrac{1\dfrac12}{\dfrac34}\\\\\Rightarrow\ =\dfrac{x}{9}=\dfrac{\dfrac32}{\dfrac34}\\\\\Rightarrow\ \dfrac{x}{9}=\dfrac{4}{2}\\\\\Rightarrow\ x= 2\times9\\\\\Rightarrow\ x=18[/tex]

Hence, 18 quarts of sparkling water is required to mix with 9 quarts of grape juice.

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