Problem Solving Skills
Answer the questions below. Use the Problem Solving Skills that we discussed in class.
Look back in your notebook if you need a reminder.
7) Suppose that x and y are rational numbers such that x >y. Which of the following
inequalities must be true?
A. (x/>ly/
B. X'>y'
C. x+y > 0
D. X-y> 0

Answers

Answer 1

Answer:i think the answer is A(x/.ly/

Step-by-step explanation:

Answer 2

Answer:

  D.  x - y > 0

Step-by-step explanation:

Given:

  x > y

Solution:

  x - y > y - y . . . . . subtract y from both sides

  x - y > 0 . . . . matches choice D


Related Questions

An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining. A sample of 71 brakes using Compound 1 yields an average brake life of 41,628 miles. A sample of 31 brakes using Compound 2 yields an average brake life of 36,379 miles. Assume the standard deviation of brake life is known to be 4934 miles for brakes made with Compound 1 and 4180 miles for brakes made with Compound 2. Determine the 98% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval.

Answers

Answer:

98%  Confidencce Interval is ( 3030.6, 7467.4 )

Step-by-step explanation:

Given that:

Sample size [tex]n_1 =[/tex] 71

Sample size [tex]n_2 =[/tex] 31

Sample mean [tex]\overline x_1 =[/tex] 41628

Sample mean [tex]x_2 =[/tex] 36,379

Population standard deviation [tex]\sigma_1[/tex] = 4934

Population standard deviation [tex]\sigma_2 =[/tex] 4180

At 98% confidence interval level, the level of significcance = 1 - 0.98 = 0.02

Critical value at [tex]z_{0.02/2} = 2.33[/tex]

The Margin of Error = [tex]z \times \sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2} }[/tex]

= [tex]2.33 \times \sqrt{\dfrac{4934^2}{71}+\dfrac{4180^2}{31} }[/tex]

= [tex]2.33 \times \sqrt{\dfrac{24344356}{71}+\dfrac{17472400}{31} }[/tex]

= [tex]2.33 \times \sqrt{906504.06 }[/tex]

= 2218.40

The Lower limit = [tex]( \overline x_1 - \overline x_2) - (Margin \ of \ error)[/tex]

= ( 41628 - 36379 ) - ( 2218.40)

= 5249 - 2218.40

= 3030.6

The upper limit = [tex]( \overline x_1 - \overline x_2) + (Margin \ of \ error)[/tex]

= ( 41628 - 36379 ) + ( 2218.40)

= 5249 + 2218.40

= 7467.4

∴  98%  Confidencce Interval is ( 3030.6, 7467.4 )

How hard is 6th grade math?

Answers

Answer:

super easy i can help you whenever

Step-by-step explanation:

im in high and i had As in 6th

Answer:

a little hard you just have to understand it

Step-by-step explanation:

Speed limit signs are placed every 58 mi on the highway. How many signs are there on a 75 mi stretch of highway? Which operation should be used to solve the problem? division multiplication

Answers

Answer:

you should use multiatication

Step-by-step explanation:

Answer:

lol u got the answer it's multiplication i need POOOIIIIINNNNTTTTSSS

Step-by-step explanation:

3) At a barbecue, there are 68 hotdogs being grilled, and there are 34 people. How many hotdogs does each person get? (You can use a calculator) 68 II 8 Hotdogs People 34 Answer: hotdogs for each person​

Answers

Answer:

2 hotdogs for each person

Step-by-step explanation:

2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2

What is the number of solutions in this system?
one solution
no solution
infinitely many solutions
First answer is Brainlyist

Answers

I could answer but u have no picture of the question

Brainliest ?

Use function notation to represent the average speed of the car on the interval from t = 2 to t = 7 .

Answers

Answer:

[tex]Average\ Speed = \frac{s(7) - s(2)}{5}[/tex]

Step-by-step explanation:

Given

t = 2 to 7

Required

Find the average speed over these intervals

The function is not given; so, I'll represent the function as s(t)

When [tex]t = 2;[/tex]

[tex]s(t)= s(2)[/tex]

When [tex]t = 7[/tex]

[tex]s(t) = s(7)[/tex]

[tex]Average\ Speed = \frac{Change\ in\ Distance}{Change\ in\ Time}[/tex]

This gives:

[tex]Average\ Speed = \frac{s(7) - s(2)}{7 - 2}[/tex]

[tex]Average\ Speed = \frac{s(7) - s(2)}{5}[/tex]

which sign makes the statement true?

Answers

Answer:

Less than sign

Step-by-step explanation:

3/4 is greater than 3/5 because its 3 out of 4 making it 75% and 3/5 is 60%

whats - 1/64 as cubed

Answers

Answer: 1/4

Step-by-step explanation:

A store offers customers a 40% discount on the price of x of selected items. Then, the store takes off an additional 16% at the cash register. Write a price function P(x) that computes the final price of the item in terms of the original price x.

P(x) = ?

Answers

Answer:

x-40%-16%

Step-by-step explanation:

Nathaniel mowed 18 lawns in 3 hours. What was his rate of mowing in hours per lawn?

Answers

Answer:

1/6 hours for every 1 lawn:)

Step-by-step explanation:

Nathaniel mow 18 lawns in 3 hours, then the rate of mowing will be 0.16 or 1/6 hours per lawn.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the information given in the question,

Total lawns mowed by Nathaniel = 18

Total time taken by Nathaniel to mow 18 lawns = 3 hours.

Then, the time required to mow each lawn is,

= 18/3

= 1/6 hrs. Or 0.16 hrs.

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ2

AN = 16CM; AC = 18CM & CN = (4X -6) CM. Find the value of X

Answers

Answer:

x = 6

Step-by-step explanation:

Since <A is congruent to <N, they are both an isosceles base angles. ∆CAN is an isosceles ∆.

Therefore, one of the properties of an isosceles ∆ is that two sides are equal, aside the base of the isosceles. This implies that: CN = AC

AC = 18cm

CN = (4x - 6)cm, therefore, we can generate an equation for solve for x as follows,

4x - 6 = 18 (two sides of an isosceles ∆ are congruent)

Add 6 to each side of the equation.

4x - 6 + 6 = 18 + 6

4x = 24

Divide both sides by 4

4x = 24/4

x = 6

What is one equivalent ratio for 1/3

Answers

Answer: 2/6

Step-by-step explanation:

Answer:

[tex]\frac{2}{6}[/tex]

Step-by-step explanation:

In order to create an equal ratio to [tex]\frac{1}{3}[/tex], we need to find a constant to multiply both the numerator and the denominator by.

Let's do 2.

[tex]1\cdot 2 = 2\\\\3\cdot 2 = 6\\\\[/tex]

So:

[tex]\frac{2}{6}[/tex]

Hope this helped!

As a cube what is -1/64 ________ to the power of ^3

Answers

Answer:

(-1/64)= (-1/4)^3

Explanation:

[tex]\sqrt[3]{-\frac{1}{64} }=-\frac{1}{4}[/tex]

[tex](-\frac{1}{4})^3=-\frac{1}{64}[/tex]

enter an inequality that represents the graph
PLEASE HELP QILL GIVE BRAINLIEST

Answers

For this question your answer would be y >_8x-8. y is greater than or equal to eight x minus eight

4x+7y given x=3/4 and y=-1/3

Answers

Answer:

4x+7y

4(3/4) +7(-1/3)

3-7/3

=2/3

please mark as brainliest

Can someone do this for me? I will give brainliest!

Answers

Answer:look it up on quizlet

Step-by-step explanation:

5.1436 rounded to the nearest tenth

Answers

Answer:

5.1

Step-by-step explanation:

we have

5.1436

since 4 is less than five we cannot pass the 1 to 2

so it stays like

5.1

118 meters in 2 seconds, how many meters in 11 seconds?

Answers

Answer:

It would be 649

Step-by-step explanation:

118 ÷ 2= 59

59 x 11= 649

Answer:

649m

Step-by-step explanation:

[tex]\frac{118m}{2s} =\frac{59m}{s}[/tex]

so that 59m/s we multiply by 11s

[tex]\frac{59m}{s} (11s)=649m[/tex]

Suppose you invest $1000 in an account paying 8% interest per year.
a) What is the balance in the account after 3 years? How much of this balance corresponds to ‘interest on interest’?

Answers

Answer:

wasd        

Step-by-step explanation:

1
7) What equation is missing in the steps to solvex+6=27
2
Equation
Steps
1
-x+6=2
Original equation
1
2
Multiplication property of equality
8) You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you
want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents
the pre-tax price of a pair of pants that you can afford if you buy the drink?
a. +0.04% +1.50 > 60
C. X+0.04x + 1.50 < 60
b. +0.04x +1.50 2 60
d. 1+0.04x + 1.50 S 60

Answers

Answer:

I'll answer it

Step-by-step explanation:

do you need it now

Help please thanks.

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{1}[/tex] -2 / 6 = (1-2)/6= -1/6= .2 (rounded to tenth)

I really need help on this question

Answers

Answer:

Answer:answer is 6.5

Answer: so please mark as brainlest
The answer is 6.5

I Know

what is the simplified expression for -2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)​

Answers

Answer:

Step-by-step explanation:

Hello,

[tex]-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)\\\\=-2a^2b+a^2-5ab+3ab^2-b^2+2a^2b+4ab\\\\=a^2+3ab^2-ab-b^2[/tex]

Thanks

Enter the mixed number as a decimal 3 and 1 over 10

Answers

3.1 i think but hopefully that might help

Jaden bought extra chicken because they’re on sale he wants to store them in the freezer which is such a -2°F he decided to turn the freezer down to another 5° to be sure they don’t spoil

Answers

Answer:

-2 - 5

-(2+5)

=7

Answer: -7 °F

For which values of a the system has no solution: x≤5, x≥a

Answers

Given:

The system of inequalities is

[tex]x\leq 5[/tex]

[tex]x\geq a[/tex]

To find:

The values of a for which the system has no solution.

Solution:

We have,

[tex]x\leq 5[/tex]        ...(1)

It means the value of x is less than or equal to 5.

[tex]x\geq a[/tex]        ...(2)

It means the value of x is greater than or equal to a

Using (1) and (2), we get

[tex]a\leq x\leq 5[/tex]

But if a is great than 5, then there is no value of which satisfies this inequality.

Therefore, the system has no solution for a>5.

I really need help with this question

Answers

Answer: my sis helped me a little so i think its right try 1,500

Step-by-step explanation:

if she gets paid 849000 a year then i would divide 849000 by 12 cause theres that meany months in a year then with that number subtract the Christmas plus witch is 5500 and thats the answer i think

In the diagram of circle A, what is the measure of
ZXYZ?
35°
70°
75°
140°

Answers

Using the intersecting secant theorem:

Angle xyz = 1/2( wz- XX)

Xyz = 1/2(175-105)

Xyz = 1/2(70)

Xyz= 35

The answer is 35 degrees

The measure of <XYZ is 35 degrees

Circle geometry

To find the measure of<XYZ, we will use the expression as shown below:

The angle at the vertex is half the difference of the intercepted arcs

<XYZ = 1/2(175 - 105)

<XYZ = 1/2(70)
<XYZ = 35 degrees

Hence the measure of <XYZ is 35 degrees

Learn more on geometry here: https://brainly.com/question/24375372

4 5 6 7 8 9 10 TIME REMAINING 35:22 Triangle KNM is shown. Triangle K N M is shown. Angle M K N is 25 degrees. Angle K N M is 130 degrees. Angle N M K is 25 degrees. What is true about the sides of KNM? KN = NM KN + NM = KM KM = 2(NM) KN = One-halfKM Mark this and return

Answers

Answer:

KN = NM

Step-by-step explanation:

Given that:

In a triangle KNM

angle ∠ MKN = 25°

angle ∠ KNM = 130°

angle ∠ NMK = 25°

The objective is to determine what is true about the side of KNM.

The correct option is:

KN = NM

From the above, we will see that two angles are equal, which implies the triangle is likely to be an isosceles triangle. An isosceles triangle is a triangle that has two equal angles and sides.

Thus, the intersection of NK with KM is at an angle of 25°, so do NM and KM. We can thereby conclude that the two sides are equal in length provided that they possess the same angles and they intersect at the line at the same angle.

Answer: (A)

Step-by-step explanation: trust me!

Luke Skywalker mixes bantha milk that is 16% protein with tauntaun milk that is 9% protein. How many pounds of each should he mix to get a 350-pound mixture that is 12% protein?

Answers

b = amount of bantha milk

t = amount of tauntaun milk

b + t = 350

0.16 b + 0.09 t = 0.12(b + t) = 42

t = 350 - b

0.16 b + 0.09 (350 - b) = 42

0.16 b + 31.5 - 0.09 b = 42

0.07 b = 10.5

b = 150

t = 200

Other Questions
Enter the value 15+(-29)-15-29 describe the role of humans in environmental stability and change What is the simplified form of (2b2 6) + (4b + 7) (b2 + 5b 3)? In Oxygen molecule O2, stability is gained through sharing of Spains efforts to take back the country from the African moors (A conflict that lasted nearly 800 years) was known as the- A. Reformation B. Reunion C. Reconquista D. Rebate What number is 10th times as much as 17.1 A farmer wants to determine which of two brands of cow feed is best for the cows on a farm. Before using one of the feeds on all the cows, the farmer decides to conduct an experiment using 36 individual cows. Which of the two plans for randomly assigning the treatments should the farmer use? Explain. (4 points) Plan A: Choose the 18 cows that are lowest in weight. Feed Brand K to all 18 of those cows. Feed Brand L to the remaining 18 cows. Plan B: Choose 18 of the 36 cows at random. Feed Brand K to those 18 cows and Brand L to the remaining 18 cows. Plan B, because the sample of cows is randomly chosen Plan A, because the cows that are lowest in weight need the feed the most and should be treated first Plans A and B are equivalent because they both follow experimental design. Plans A and B are both poorly designed because there are not enough cows to test. The plans cannot be evaluated from the information given. Round 4,368 to the nearest ten. Solve by completing the square x^2+6x+13=0 When Kathy disagrees with Michael's methods for signing patients into theexam room, she describes why she still strongly agrees with her opinion butshows interest in developing some of Michael's methods. Which of thefollowing strategies does Kathy apply for addressing interpersonal conflict?a. competition b. compromise c. collaboration d. avoidance You have an atom with a mass number of 100 with 85 neutrons. What is thiselement? 3a 2a + 4 = 16 Solve for a. Which lists the waves in order of frequency, from highest to lowest?O X-rays, gamma rays ultravioletO radio waves, visible light, X-raysO ultraviolet, microwaves, gamma raysO visible light, infrared, microwaves Which of the following airlines did not merge to save on costs through efficiency? Continental Airlines merging with United Airlines O American Airlines merging with US Airways O Northwest Airlines merging with Delta Airlines Pan American World Airways and Alaska Airlines Type here to search In this clip, how does background research prepare the students for discussion? How do they apply this external knowledge to the topic at hand? What grade point average do you need to earn academic honors? (it is aletter, not a number value) * 5 Devise Imagine that one tree outside yourschool looks unhealthy, although all the othertrees seem healthy and strong. Describe howyou could apply scientific thinking to thesituation. What two factors keep Earth in orbit around the sun and the moon in orbit around Earth? A:gravity and distance B:Mass and distance C:force and speed D:gravity and force Simplify the expression: 8(5+5v)+5v What is climax and falling action mean...?Please help I have two overdue assignments! I will give whoever helps ALL my points!