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

50 POINTS! The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?

Answers

The common difference d is

(41–11) / (10–5) = 6.

The first term is

11 - 6(5–1) = -13.

so , the first term is -13

Answer:

-13

Step-by-step explanation:

The fifth term:

[tex]a_5=a+4d = 11[/tex]

The 10th term:

[tex]a_{10}=a+9d=41[/tex]

Subtract side-by-side and find d:

9d - 4d = 41 - 115d = 30d = 6

Find the first term:

a = 11 - 4*6 a = 11 - 24a = - 13

Kyla made 15 cups of pudding for a class. If there are 20 students in the class, how much with each student get? Write your answer as a fraction in lowest terms..

Answers

3/4 a cup
I believe this is the answer

Answer:

Each student get 3/4 cups.

Step-by-step explanation:

15÷20=0.75

turn into fraction

3/4

I answer this question before

can someone lease tell me the answer to this question i'm abt to ask? what is 1 + 1/4?

Answers

Answer:

1 1/4 or 5/4 or 1.25

Step-by-step explanation:

or
Find the slope of the line
y
=
9
5
x

9
5
.

Answers

Answer:

Step-by-step explanation: 56776

The cost of dance lessons is $12 for 1 lesson, $22 for 2 lessons, and $32 for 3 lessons. Use a graph to determine whether the cost is proportional to the number of lessons. Explain your reasoning.

Answers

Answer:

it is not proportional. when you graph it, you will see it is not linear.

Step-by-step explanation:

Answer:

not proportional

Step-by-step explanation:

A graph that’s proportional would have to be linear a straight line but that cannot happen since the numbers are proportional

Its constant of proportionality is 12 and 10 so it could not work.

A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $380.00?

Answers

40 miles per week

Step-by-step explanation:

380-220 = 160÷4 = 40

You can travel 320 miles in one week for $320 miles.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

A rental car agency charges $220.00 per week plus $0.25 per mile to rent a car.

If the amount is $380.

Then, 380 - 220 = 160

And 160 divided by 0.5,

= 160/0.5

= 320 miles.

Therefore, the required distance is 320 miles.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Plz help me
I really appreciate it

Answers

Answer:

a = 45°

Step-by-step explanation:

In triangle PSR

PS = RS (Given)

angle SPR = angle SRP (isosceles triangle property)

Let angles SPR and SRP be x

Therefore, 90° + x + x = 180° (angle property)

=> 90° + 2x = 180°

=> 2x = 180° - 90° = 90°

=> 2x = 90°

=> x = 90° ÷ 2 = 45°

=> x = 45°

Hope it helps:)

HELP PLEASE!!!! FASTT

Answers

Answer:

Domain (-3,-2,-1,0,1,2)

Range (-2,0,1,2,3)

This is not a function

Step-by-step explanation:

Domain (-3,-2,-1,0,1,2)

Range (-2,0,1,2,3)

one x-value with two y-values, (-1, 2) and (-1, -2)

not a function

Plotting the graph should be easy

left side are x-values

right side are y-values

HURRY I NEED IT FOR 3rd GRADE MATH

Whats 73 + 82

Answers

Answer:

155

Step-by-step explanation:

Answer: 155

Step-by-step explanation:

73

+82

155

-Solve the proportion (round to the nearest tenth).

1910=x12

Answers

The value of x in the proportion is 15.8.

1910 = x12

1910 = 12x

divide both sides by  12

1910 / 12 = 12x / 12

x = 15.8333333333

x ≈ 15.8

read more: https://brainly.com/question/14026746?referrer=searchResults

Hi I really need help with this question please 15 POINTS!!
What effect does replacing x with x + 6 have on the graph for the function f(x) ? f(x)=|x+3|−2
The graph is shifted down 6 units.
The graph is shifted up 6 units.
The graph is shifted right 6 units.
The graph is shifted left 6 units.

Answers

The graph is shifted up 6 units

Answer:

answer attached

Step-by-step explanation:

Cindy made a scale drawing of a game room. The pool table, which is 8 feet long in real life,
is 4 inches long in the drawing. What is the scale of the drawing?
1 inch:
feet

Answers

Answer:

1 inch = 2 feet

Step-by-step explanation:

Answer:

1 inch ÷ 2 feet

Step-by-step explanation:

According to given:

8 feet → 4 in

Divide both by 4 to get the scale of drawing:

8/4 feet → 4/4 in2 feet → 1 in

I don't get this. (write a linear function f with the given values)

Answers

Answer:

f(x) = (1/2)x

Step-by-step explanation:

f(x) = mx + b

m is the slope

b is the y-intercept

m = rise/run

for every run of 2 in x

f(x) rises 1

m = 1/2

The y-intercept occurs when x = 0

from the table f(0) = 0

b = 0

Therefor

f(x) = (1/2)x + 0

f(x) = (1/2)x

Answer:

[tex]f(x) = 1/2*x[/tex]

Step-by-step explanation:

Linear functions are functions of the form "f(x) = a * x + b" where 'a' and 'b' are constants (numbers) and x is the input.

In this problem, you are given the inputs and outputs of the function. Since you know it is linear, you begin thinking about what number you can multiply on the left to get the value on the right.

-4 / 2 = -2

-2 / 2 = -1

0 / 2 = 0

We find that dividing x by 2 gives the correct output. Dividing by 2 is the same as multiplying by 1/2. Therefore, we have found the answer!

f(x) = 1/2 * x

State the property that justifies each statement
if y + 6 = 45, then y = 39.

Answers

Answer:

Justified ✔

Below is the justification.

Step-by-step explanation:

39 + 6 = 45

=> 45 = 45 ✔

This work justifies that y does equal to 39.

Hoped this helped.

what is 0.3% of 200

Answers

It’s 60 because you multiple .3 by 200

If two line are perpendicular which statement is true

Answers

The two lines intersect each other to make it perpendicular
Hope this helps you. Have a great day

Which function represents a translation of the graph of v=x^2
by 10 units to the left?
O A. v=x^2+10
O B. v=(x+10)^2
O C. y=10x^2
O D, y=(x-10)^2

Answers

Answer:

B.

Step-by-step explanation:

That would be y = (x +10)^2.

Troy studies porcupines and wants to estimate the population in a certain region. Troy catches 36 porcupines, marks them, and releases them. Then later, Troy catches 450 porcupines and observes that 18 of them are marked. To the nearest whole number, what is the best estimate for the porcupine population?

Answers

A Group of scientists caught and tagged  porcupines=140 A week later the scientists counted the porcupines=180

I need answers for number 1.

Answers

Answer:

11^9

Step-by-step explanation:

A textbook store sold a combined total of 236 history and physics textbooks in a week. The number of history textbooks sold was three times the number of physics textbooks sold. How many textbooks of each type were sold

Answers

Answer:

Step-by-step explanation:

Let H and P represent the number of history and physics textbooks.

We are told that:

1)  H + P = 236/week, and

2)  H = 3P                                     [A disgrace, but that's a different problem]

We can substitute the definition of H in the second equation into the first:

H + P = 236/week

3P + P = 236/week

4P = 236

P =  59

H = 3P, so H = 3*(59) or 177

59 Physics and 177 History books for a total of 236 books sold that week.

12 people sharing an 8 gummy worm pieces how much per person will get equally show two ways

Answers

Divide it into 12 parts or into 66 2/3

Trevon bought one package of blueberries for $3. How many packages can Elisa buy if she has $63

Answers

Since trevon bought one package for 3 dollars than 3 x 21 equals 63
Answer = 21

Nellie says that 60 × 1,000 is 6,000 because there are three zeros in 1,000. Kara says 60 × 1,000 = 60,000. Whose thinking is correct? Explain.

Answers

kara is correct cause 60x1000 does actually equals 60,000

Answer:

Kara is right

Step-by-step explanation:

60 × 1000= 60000

What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Answer:

slope= 1/4

Step-by-step explanation:

8-5 over 8-(-4)= 3/12=0.25 = 1/4

I/4 8-5 over 8-(-4) = 3/12 = 0.25 = 1/4

Teddy
1House A is twice as tall as House B. How tall is House B?
House
Height (ft)
A
24
B

Answers

How tall is house a? If a is 24 ft tall than B is 48 ft tall

Answer:

12

Step-by-step explanation:

House A is 24. So divide it by two to get 12. Which is house B

Decompose and use the distributive property to find the product of 5 × 7.3. 35.0 36.5 35.5 31.5 PLEASE HELP PLEASE T^T

Answers

Answer:

The answer is 36.5

Step-by-step explanation:

Which of the following fractions is less than 1
options: a) 1 1by4 b) 3/4 c) 5/4 d) 2 3by4

Answers

Answer:

B

Step-by-step explanation:

11/4=2.75

3/4=0.75

5/4=1.25

23/4=5.75

Answer:

3/4

Step-by-step explanation:

Proper fractions are less than 1

3/4 is proper fraction.(Numerator less than denominator)

[tex]\dfrac{5}{4}=1\dfrac{1}{4}[/tex]

PLEASR HELP MEEEE ASAP​

Answers

Answer:

A: Yes, I agree. Why? Because if you look at the shape, its a triangle right, and a triangle both sides are equal, while the bottom line is not. But because both sides are equal, and half of the triangle is MPN and the other side is QPN, they both are congruent (or equal to)

B: Like I said, both MPN and QPN are both equal, and if you remove the P, it would still be the same because the shape has not changed.

I hope I helped :)

Factor (x^2-9) (x^2-16)

Answers

Answer:

( x - 3 )( x + 3 ) ( x - 4 )( x + 4)

Step-by-step explanation:

( x^2 - 9 ) ( x^2 - 16 )

( x - 3 )( x + 3 ) ( x - 4 )( x + 4)

Hopefully this helps!

Brainliest please?

[tex](x^2 -9)(x^2 -16)\\\\=(x^2 -3^2)(x^2 -4^2)\\\\=(x+3)(x-3)(x+4)(x-4)[/tex]

Part A: A store had a 20% off
Black Friday sale. One item was
originally $75. How much was it on
sale for? Part B: if that same store gave an extra 10% off for using their credit card, what’s the final cost of the item (not including tax)

Answers

Answer:

Part A: $60

Part B: $54

Step-by-step explanation:

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