Is z = 11 a solution to the inequality below?

4z - 4 < 43

yes or no

Answers

Answer 1

Plug it in like any normal algebra

4(11) - 4 < 43

44 - 4 < 43

40 < 43

The statement is correct.

Z = 11 is a solution.  

GOLDEN RULE FOR INEQUALITIES

WHENEVER SOLVING AN INEQUALITY TREAT IT LIKE REGULAR ALGEBRA, but whenever you MULTIPLY or DIVIDE both sides of an inequality by a NEGATIVE NUMBER, you must flip the inequality symbol.


Related Questions

How many grams are contained in 0.54 moles of calcium?

Answers

The number of grams present in 0.54 moles of calcium is; 22 g

We are given;

Number of moles; n = 0.54 moles

Now, Molar mass of calcium is;

M = 40.1 g

Formula for number of moles is;

n = m/M

Where;

n is number of moles

m is mass in grams

M is molar mass

Thus;

0.54 = m/40.1

m = 40.1 × 0.54

m = 21.654 g

Approximately m = 22 g

Read more at; https://brainly.com/question/5397233

Celine is making a special gelatin dessert for the Constellation Club meeting. She plans to fill
a large moon-shaped mold with 8 ounces of gelatin. She wants to use the rest of the gelatin
to fill small star-shaped molds. Each star-shaped mold holds 2 ounces, and the package of
gelatin she bought makes 48 ounces in all. How many star-shaped molds can Celine fill?

Answers

Answer:

Celine can fill 20 stars i believe

Step-by-step explanation:

(48-8)÷2=20

The number of star-shaped molds that Celine can fill will be 20.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

For the Constellation Club meeting, Celine is preparing an exclusive gelatin dessert. She intends to use 8 ounces of gelatin to fill a large moon-shaped mold. She plans to fill little star-shaped molds with the remaining gelatin. The bag of gelatin she purchased yields 48 ounces in total, with each star-shaped mold holding 2 ounces.

⇒ (48 - 8) ÷ 2

⇒ 40 / 2

⇒ 20

Then the number of star-shaped molds that Celine can fill will be 20.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Find the equation of the line that passes through (1,2) and is perpendicular to y = 2 x + 3

Answers

Answer:

See below

Step-by-step explanation:

The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.

Use point-slope form to find its equation:

y - y₁ = m(x - x₁)y - 2 = - 1/2(x - 1)

or

y = -1/2x + 2 1/2

or

y = -0.5x + 2.5

Answer:

See below

Step-by-step explanation:

The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.

Use point-slope form to find its equation:

y - y₁ = m(x - x₁)

y - 2 = - 1/2(x - 1)

or

y = -1/2x + 2 1/2

or

y = -0.5x + 2.5

give brainliest to me or to the person below or up bc I ctrl+c and ctrl+v

bc is soooo coool the other one lol

Anyone for a brainly help me out

Answers

Answer:

y<x+1

Step-by-step explanation:

Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y<x+1

Hi I really need help with this please 25POINTS!!!

What is the Point of Maximum Growth of this function?
f(x)=(7)/(1+5e^(-0.9x)
Select the correct answer:
(0,7/6)
(0.39,3.5)
(-1.79,3.5)
(1.79,3.5)

Answers

Answer:

(0,7/6)

Step-by-step explanation:

Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?

Answers

Answer:

7

Step-by-step explanation:

Assume Stefan won x games,

Marion would win: 5(x-4) games,

5(x-4)= 15

5x-20= 15

5x= 15+20

5x= 35

x= 7.

28 points I really need helppppppp

Answers

19 beacsue x is 2 less than y

A train travels with a constant speed
of 32 km/h. How long will it take to
travel a distance of 80 kilometers?

Answers

Answer:

2.5 hours

Step-by-step explanation:

time = distance / speed

t = 80 / 32

t = 2.5 hours

angles of triangle sand explain how u got each question and answer pls ! ((:

Answers

Answer:

m∠1 = 41°

m∠2 = 85°

m∠3 = 95°

m∠4 = 85°

m∠5 = 36°

m∠6 = 49°

m∠7 = 96°

Step-by-step explanation:

Alright, so to start we have 2 quadrilaterals intersecting to form a triangle, which means that in the shapes with 4 angles, all angles will add up to 360°, while the triangle's angles will add up to 180°

Right off the bat, we can tell that ∠3 and ∠95° are going to be the same, because they're at a perpendicular intersection, which also means that ∠2 and ∠4 will be the same as well

Knowing the ∠3 = 95° means that ∠5 and ∠6 must add up to equal 85°, so that the whole of the triangle equals 180°

Considering that in the first quadrilateral we already have ∠90° and ∠144°, this means that ∠1 and ∠2 have to add up to 126°, to make an even 360° total

If ∠95° is supplementary to ∠2, this means ∠2 = 85°, and since ∠4 and ∠2 are the same, ∠4 also equals 85° - This leaves 41° left for ∠1, and now we can move on to the other quadrilateral

So since we know ∠4 = 85°, and we already have ∠38°, this means that ∠7 and the unmarked angle will add up to equal 237°, so that the entire shape has 360°

Since we know that ∠5 and ∠144° are supplementary, this means ∠5 is equal to 36°, which would make ∠6 = 39°

And lastly we have ∠7, which since ∠6 = 39° this means our unmarked supplementary angle must equal 141° - Now that means that ∠4 + ∠38° + ∠141° = 264° out of 360°, which leaves ∠7 to equal 96°

What is linear algebra.

Answers

Answer:

Linear algebra is flat differential geometry and serves in tangent spaces to manifolds.

Step-by-step explanation:

Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.

Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics).

Which inequality is represented by the graph?

Answers

Answer:

y <  -3/2x + 1

Step-by-step explanation:

Points (-2,4) and (2, -2) are on the graph.

The graph crosses the y-axis at 1 so the y-intercept is 1

Slope = (change in the y-value)/(change in the x-value.

Slope = (-2 - 4)/ [2 - (- 2)]

Slope = -6/4

Slope = -3/2  

The equation of the line : y = -3/2x + 1

Now the graph is dotted and it is shaded down.

Therefore the inequality is y <  -3/2x + 1

Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.

Answers

Answer:

it's simple it means

2×b-8=5

Answer:

b = 10.5

Step-by-step explanation:

The difference of b and 8 is b - 8 and twice this difference is

2(b - 8) = 5 ← distribute parenthesis on left side

2b - 16 = 5 ( add 16 to both sides )

2b = 21 ( divide both sides by 2 )

b = 10.5

The unknown number b is 10.5

Shannon ran the race slower than Patti but faster than Phan. What might her time be?

Phan: 7.7
Daniel: 7.44
Patti: 7.1
Ida: 7.501
Maisha: 7.01
Ali: 7.941
Manuel: 7.332

Answers

Since she was slower than Patti but faster than Phan, the compound inequality that models her time t is:

[tex]7.1 < t < 7.7[/tex]

An inequality is said to be compounded if it includes two terms, for example:

[tex]a < x < b[/tex]

Which has the following interpretation: x is more than a and x is less than b.

In this problem:

Shannon is slower than Patti, hence her time is greater than 7.1.She is also faster than Phan, hence her time is less than 7.7.

Then, the inequality is:

[tex]7.1 < t < 7.7[/tex]

A similar problem is given at https://brainly.com/question/24528399

Y intercept
X intercept

Answers

Answer:

The Y intercept is -10

The X intercept is 3


Find the missing angle measurement in each set of supplementary angles.

Answers

Supplementary angles sum up to 180°. Take the missing angle as 'x'.

148 + x = 180

x = 180 - 148

x = 32°

=》 Angle ABD = 32°

_________

Hope it helps!

RainbowSalt2222 ☔

Answer:

32 degrees

Step-by-step explanation:

Hi there!

Angle ABC measures 180 degrees since it's a straight line.

To find angle ABD, we simply subtract the given angle that measures 148 degrees from 180:

180-148 = 32

Therefore, angle ABD measures 32 degrees.

I hope this helps!

Please help and no links!!!!

Answers

Answer: 18

Step-by-step explanation:

Guys please help asap i don't want to fail
Consider the sequence shown.

Answers

Answer:

The answer is option D

Step-by-step explanation:

f (n)=-2. (-5)^n-1. Jesus loves you

no need to explain just tell the answer

Answers

Answer: z = 18

Step-by-step explanation:

180 = 90 + (3z+4) + (2z-4)

z = 18

-4/7÷8/9 help me with it please

Answers

Answer:

-36/56

Step-by-step explanation:

Mei is making fruit punch.
She makes the fruit punch by mixing fruit juice and lemonade in the ratio 1 : 3.
The fruit juice costs £1.80 per litre.
The lemonade costs 75p per litre.
Work out the total cost of making 16 litres of fruit punch.

Answers

Answer:

16.2p (If lemonade is .75p, if not substitute in the equation below)

Step-by-step explanation:

In 4 liters, there would be 3 liters of lemonade and 1 liter in juice.

I am assuming 75p is meant to be .75p

So 4 liters costs: (1 x 1.8) + (3 x .75) = 4.05

We need 16 so: 4.05 x 4 = 16.2

Of the 40 pencils in the box 30 of them don’t have an eraser what percent of the pencils do not have a eraser

Answers

Answer:

75%

Step-by-step explanation:

How are slope and derivatives related.

Answers

Answer: When you plug in an x-value into a function's derivative, the y-values you get back FROM THE DERIVATIVE tell you the slope of a tangent line to the original function at that value of x.

Step-by-step explanation:

Please help me anyone i will give you brain points

Answers

Answer:

M = 11

Step-by-step explanation:

The cost of a blue balloon is 4 times the cost of a yellow balloon. Rashmi spent₹ 910 in buying both blue and yellow balloons, find the cost of a blue balloon?

Answers

The cost of the blue balloon is  ₹728.

let

the price of the yellow balloon = x

cost of the blue balloon  = 4x

Total amount spent = ₹ 910

Therefore,

4x + x  = 910

5x = 910

divide both sides by 5

5x / 5 = 910 / 5

x = 182

cost of the blue balloon  = 4x = 4(182) =  ₹728

read more: https://brainly.com/question/23781513?referrer=searchResults

the sum of three consecutive integers is forty -two. find the three numbers

Answers

Answer:

13, 14, 15 right?

Step-by-step explanation:

I’ll mark brainliest!! Please help:)

Answers

Answer:

E

Step-by-step explanation:

Find the number that makes the ratio equivalent to 2:4
16:

Answers

Answer:16:32
Step by step:no

A countertop is 13 feet long and 2 feet wide.



What is the area of the countertop in square meters? Use the conversion 1 foot = 0.305 meter. Round your final answer to 2 decimal places.

Answers

Answer:

A = 2.42 sq. meters

Step-by-step explanation:

13 feet = 13 × 0.305 = 3.965 meter

2 feet = 2 × 0.305 = 0.61 meter

A = lw

A = (3.965) × (0.61)

A = 2.41865 sq. meters

A = 2.42 sq. meters

Find the length of side x to the nearest tenth.
309
X
60°

Answers

X = 1/cos(30)
X = 1.154700538
X = 1.2 (nearest tenth)

Last year, prices increased due to inflation. This year inflation caused prices to go up again. After the second increase, the price for a certain item became 6 times the original. What was the percent increase of the second increase if the first increase was 50%?

Answers

The second percentage increase in price is 300%.

Inflation is when there is a persistent rise in the general price levels in an economy. Inflation leads to an increase in the prices of goods and services.

Let's assume that the price of an item is $100.

This year prices are 6 times the original price. This means that prices are $600 ($100 x6).

Increase in prices after the 50% increase = (1.5 x 100) = $150.

Percentage increase in price so that price is now $600 = $600 / $150 - 1 = 3 = 300%

A similar question was answered here:  https://brainly.com/question/11839495

Answer:

300%

Step-by-step explanation:

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