PLEASE HELP. Which is the best interpretation of the solution set for the compound inequality? 3/2x-1<2x + 4 or 3(2/3x + 1) < 11 A. no solution B. x > -10 C. x<4 D. all real numbers.

Answers

Answer 1
(3/2)x-1<2x+4
3x-2<4x+8
-2<x+8
-10<x
x>-10

3((2/3)x + 1) < 11
(3*2/3)x+1*3<11
2x +3<11
2x<8
x<4

so the compound equality is the set of all numbers which are >-10 or <4, which are D) all real numbers
Answer 2

Answer:

D

Step-by-step explanation:

Just did it


Related Questions

Determine the x- and y-intercepts of the graph of y=− 1 2 x−4 .

Answers

X int = (1/3,0)
Y int= (0,-4)
to find x intercept change Y to 0 ghen solve the equation like this
-12x=4
x=4/-12 =- 1/3 point (-1/3,0)
y=-12 (0)-4
= -4 (0,-4)

I need help with number 24. It says is it possible that Lauren answered more questions correctly on the second math test than Antoine did? Explain.

Answers

It is, because Lauren may have gotten a incredibly high score on the first test, and a worse one on the second, while Antoine may have gotten a horrible score for the first test.
Final answer:

Calculating the probability of getting more than 75% of answers right with random guessing is unlikely to yield a count higher than 24 correct answers. Therefore it is improbable for Lauren to have answered more questions correctly than Antoine. However, without specific data on Lauren's and Antoine's test results, we cannot say with absolute certainty.

Explanation:

To ascertain if Lauren could have answered more questions correctly on her second math test than Antoine, we need to understand the concept of probability. In this case, we want to find P(x > 24)  which means we want to find out if getting more than 75 percent (or more than 24 correct answers) out of 32 questions is possible. That is, did Lauren score more than 24? However, the probability of getting more than 75 percent of the 32 questions correct when randomly guessing is practically zero. Mathematically, we express this as P(x > 24) = 0.

This suggests obtaining a score higher than 24 is very difficult, and therefore it's unlikely that Lauren answered more questions correctly than Antoine, especially if answering was based on random guessing. However, without specifics about Lauren's or Antoine's performance, we can't say definitively.

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What is the slope of the line graph?






Enter your answer in the box

Answers

(-6,6) (6, 2)
slope = (6 - 2)/(-6 -6) 
 = 4/-12
 = -1/3

answer
slope = -1/3

Answer: The slope of the line is [tex]-\frac{1}{3}[/tex].

Explanation:

From the given graph it is noticed that the line passing through many points.

The coordinates of three given points are (-6,6), (0,4) and (6,2).

If a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope of the lie is defined by,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The line passing through two points (0,4) and (6,2). So the slope of the line is,

[tex]m=\frac{2-4}{6-0}[/tex]

[tex]m=\frac{-2}{6}[/tex]

[tex]m=-\frac{1}{3}[/tex]

Therefore, the slope of the line is [tex]-\frac{1}{3}[/tex].

At Algorithms Pizza they have the exponential pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. If Connor ordered the exponential pizza and was charged $29.25, how many toppings were on his pizza? Justify your answer by using an algebraic equation to solve this problem step by step

Answers

He got 5 toppings, subtract 29.25 and 17.50, you get 11.75, then divide by 2.35, you get 5.

Answer:

5 toppings.

Step-by-step explanation:

Let there were x toppings on the exponential pizza ordered by Connor.

Then charges for toppings = $2.35x

If the cheese pizza costs = $17.50

Total charges for the pizza = (17.5 + 2.35x)

Total cost of the cheese pizza with toppings = $29.25

Equation to find the number of toppings will be

29.25 = 17.5 + 2.35x

2.35x = 29.25 - 17.5

2.35x = 11.75

x = [tex]\frac{11.75}{2.35}[/tex]

x = 5

Therefore, number of toppings on the pizza will be 5.

Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Which of the following expressions is the largest? Explain why. Show all work necessary. A: (C + D)2 B: 2(C + D) C: C2 + D2 D: C2 − D2

Answers

The question or the problem wants to choose among the following expression is the largest, base on the data presented in the problem, the possible answer among the following choices is C2+D2.  I hope this helps :D

Answer:

A.

Step-by-step explanation:

We have that C>0, D>o and C > D. Now,

A. [tex](C+D)^2= C^2+2CD+D^2[/tex]

B. 2(C+D) = 2C+2D

C. [tex]C^2+D^2[/tex]

D. [tex]C^2-D^2[/tex]

We have that [tex]C^2+2CD+D^2> C^2+D^2[/tex] (beacuse on left we have adding one extra positive term) and also [tex]C^2+D^2> C^2-D^2[/tex] (adding two positive values is greater than subtract two positive values), then

[tex]C^2+2CD+D^2> C^2-D^2[/tex]

also, [tex]C^2+2CD+D^2> 2C+2D[/tex] (also because the middle term). Then, the largest term is  [tex](C+D)^2= C^2+2CD+D^2[/tex].

Which situation is represented by the inequality? 3x + 5 > 2x + 15

Answers

Final answer:

The inequality 3x + 5 > 2x + 15 represents a situation in which x is greater than 10.

Explanation:

The inequality 3x + 5 > 2x + 15 represents a situation in which one side of the equation is greater than the other. To solve this inequality, we need to isolate x on one side of the equation. Here are the steps:

Subtract 2x from both sides of the equation: 3x + 5 - 2x > 2x + 15 - 2xSimplify both sides of the equation: x + 5 > 15Subtract 5 from both sides of the equation: x + 5 - 5 > 15 - 5Simplify both sides of the equation: x > 10

So, the inequality 3x + 5 > 2x + 15 represents a situation in which x is greater than 10.

a bag of concrate can be used to make a 5ft by 7ft porch.if you want to make a 20ft by 28ft,porch. how many bags of concreate do you need? the answer is not 4

Answers

Calculate the area of each rectangular:

5x7= 35sqft

20x28= 560sqft

If 1 bag makes 35sqft, 560sqft is how many bags;
This is how I write the equation;

1x bag 35sqft

X 560sqft

Solution: (560x1) : 35 = 16bags

I solved this based on my way of logic. I'd appreciate if you let me know if the answer is correct.

area of 5 x 7 porch = 5*7 = 35 sq. ft.

 area of 20 x 28 porch = 20 *28 = 560 sq. ft.


560 / 35 = 16

 so 16 bags are needed

three pizza are shared equally among eight people. how much does each person get?

Answers

If you divide 3 by 8 you will get your answer. 

The answer should be 3/8 or 0.375
One person gets 1/8 and another 1/8 and another 1/8 of a pizza, so each person get 3/8 of a pizza.(Draw three circles and divide each pizza in eights then put 1,2,3,4,5,6,7,8, on each slice then count how many the first person gets (the person first person is number 1).

whats the definition of a circle?

Answers

Hello!

A circle is a round plane figure what's boundary is made of points from the center..

Hope this helps! ☺♥

Answer:

I think the answer is:

a circle is the set of all points in a plane that are the same distance from a fixed point called the center.

You miss 3 out of 10 questions on a science quiz and 4 out of 15 questions on a math quiz. Which quiz has a higher percent of correct anwsers?

Answers

3 out of 10 quiz because if you divide 3 by 10 it's 0.3 but if you do 4/15 it's 0.26...

The quiz with a miss of 3 questions out of 15 has the higher percentage.

As mentioned in the question,
You miss 3 out of 10 questions on a science quiz and 4 out of 15 questions on a math quiz.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
Percentage of correct answer in 1st quiz = 100% - 3/10 × 100% = 70%
Percentage of correct answer in 2nd quiz = 100% - 4/15 × 100% = 77%
The percentage of 2nd quiz is greater than 1st quiz.

Thus, the quiz with a miss of 3 questions out of 15 has the higher percentage.

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Is -b always, never, or sometimes a positive number?

*urgent!*

Answers

-b can never be a positive number. If a number has a dash like that in front of it it is negative
Always negative that’s what the dash means

Write an equation of a line that is perpendicular to y = ½ x + 3 and passes through the point (10, -5).

Question 4 options:

y = 2x – 15


y = - 2x + 15


y= -2x – 5


y = -1/2 x

Answers

Y=MX+B THEREFORE Y=-2X-5

What is the score if total question is 85 and correct is 68?

Answers

You can find percentages like this by taking the total number of questions dividing it by 100 to find out how much each question was worth, then multiplying by the number correct.

So, 85 ÷ 100 ≈ 1.18

1.18 x 68 ≈ 80

So, the score was 80%.

The difference between twice a number and 11 is -23

Answers

the equation would look like
2x-11=-23
then you have to combine like terms then after that divide by x to get
x=-6

How many times can 27 go into 192

Answers

Approximately 7 times or exactly 7.111. To find the answer divide 192 divided by 27 and got 7.111 and rounded that to 7.
it can go into 192 7.1 times

Margaret uses 1 3/4 teaspoons of vanilla to make 12 cupcakes. She to wants make 30 cupcakes. how much vanilla will Margaret use?

Answers

teaspoons 4 3/8
hope that helps you

Shalika bought a purse for $120. The tax rate is 9%.

What is the total amount Shalika paid?

Answers

9/100 = x/120
the cross multiply to get:

100x = 1080
divide I080 by 100 to get 10.8

Finally add a 10.8 to 120 ( the original amount) to get $130.80
120/x=100/9 is the awnser i believe

How do you solve this 4x - 2x -20x + x

Answers

So, 4x-2x-20x+x.
First, do 4x-2x which would equal 2x-20x+x.
Now, what's 2-20?
-18
So, it's -18x+x.
-18x+x
=-17x
Hope this helps.

Answer:

The value of the expression is [tex]-17x[/tex].  

Step-by-step explanation:

Consider the provided expression.

[tex]4x - 2x -20x + x[/tex]

To solve the above expression we need to add the like terms as shown.

[tex]4x+x - 2x -20x[/tex]

[tex]5x - 22x[/tex]

[tex]-17x[/tex]

Hence, the value of the expression is [tex]-17x[/tex].  

Helpppppp please don’t have to explain or write a long paragraph just help me out and give me an answer pleaseeeee fasttttttt

Answers

If it is a linear function, then the same difference in x produces the same difference in y.
Top left: The difference in y is always 2 even though hte difference in x is not.
Not a linear function.
Bottom left: Difference in x is always 1, but difference in y is 2 or 3. Not a linear function.
Top right: Difference in x is always 2. Difference in y is always 2. This is a linear function.
Bottom right: Difference in x is always 2, but difference in y is 2 or 3. Not a linear function.

What is the perimeter of triangle PQR? Show your work.

Answers

You know that the two triangles are congruent because two sides and one angle are congruent.

According to CPCTC, corresponding parts of congruent triangles are congruent, which means that PR and SU are equal.

3y-2=y+4
3y=y+6
2y=6
y=3

3(3)-2=9-2=7

7+4+6=17

The perimeter is 17 feet.

Hope this helps!

Answer:

PQR= 17 ft

Step-by-step explanation:

1. PQ ≅ ST = 4 ft (Given)

2. ∠PQR ≅ ∠STU (Given)

3. QR ≅ TU = 6 ft (Given)

Which makes the two triangles congruent by SAS postulate.

Now, from CPCTE, PR = SU

3y-2=y+4

Solve for y and simplify

Subtract Y from both sides.

Add 2 to both sides

3y-y=4+2

Add

2y=6

Divide both sides by 2

Y=3

Now, side PR is given by plugging in 3 for Y. PR = 3(3) - 2 = 9 - 2 = 7 ft. The perimeter of a triangle PQR is the sum of all of its sides. Perimeter = PQ + QR + PR = (4 + 6 + 7) ft = 17 ft. The perimeter of triangle PQR is 17 ft.

Explain how the order of operations determines how you simplify a numeric expression.

Answers

The Order of Operations is a set of rules that explain to the mathematician which operation goes first when solving an equation. It is the step by step roadmap for the mathematician when it comes to solving an equation.

Admission to the amusement park was $29.50 per person. If x represents the total cost for 3 tickets, which equation is true?
A. $29.50 + x = 3
B. 29.50*X=3
C. $29.50 + 3 = x
D. 29.50*3=x

Answers

the answer is d there is 3 people, so muliply 29.50 by the 3 people and that would be d
the correct answer is letter D.

How to solve a system of equations using elimination

Answers

In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. Multiply the top equation by 5. Next add theequations, and solve for y. Substitute y = 10 into one of the original equations to find x

To solve a system of equations by addition, also called elimination, the goal is to cancel out one of the variables by adding the equations together. However, in some cases, you will need to multiply one or both of the equations by a number in order to create a scenario where one of the variables will cancel out when the equations are added together. As long as you cancel a variable out, you will be able to add the equations together and solve for the variable. If you find one variable, you can find the other one easily.

Which of the following best describes the algebraic expression 5(x+2) -3

Answers

You didn't give us any description, so I'll just make my own.

Three less than five times the sum of a number and two

Answer:

Step-by-step explanation:

given that,

   Algebraic expression   5(x+2) -3

  the best way to describe the number is that :-

The number is three less than the five times of the quantity of the number      plus two.

when you see the quantity it refers to 'x+2'.

this is , the most appropriate representation of the algebraic expression.

Describe a real-world situation that could be modeled by the binding two rational numbers

Answers

The example of real life situations is: The cost of 30 green apples is €60
Rox wants to buy only 5 apples, how much will they cost her?

Cost of 30 green apples is €60.
Cost of 1 green apple = €60/30 = €2
(Using the concept of division of rational numbers)
Now, cost for 5 green apples =5 * €2 = €10

There are 16 tables in the school lunch room each table can seat 22 students. How many students can be seated at lunch at one time?

Answers

352 . If you multiply 16 by 22 it will give u an answer of 352
352 you had to multiply

help I will fail math class please help doors for the small cabinets are 11.5 inches long . doors for the large cabinet are 2.3 time as long as the door for a small cabinet . how many larger door can be cut for a board that is 10 1/2 feet long

Answers

11.5 * 2.3 = large door size
large door size / 12 = large door size in feet
large door size in feet / 10 = how many large doors can be cut from the board. (you have to round it down if there's a decimal- no 1/2 doors.)

In a survey 11 people was asked if there should be more school days of theese 6 people agreed yes. What percent of particpanits agreed with the proposal?

Answers

Hey You!

6 = 54.55% of 11.

So, 54.55% of the participants agreed with the proposal.

I don’t think i have the right answer so I’m checking it to make sure

Answers

I believe the answer is the last one. I hope this helps love! :)

80 X 5,000

( blank tens) X (blank thousands) = 40 thousands, thousanths, tens, tenths, hundreds, hundrenths, or ones?


Also 80 x 5,000

Answers

80x5,000 is 400,000. Not sure what you're asking though.
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