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

In a paint store you’re mixing paint for a larger order. Paint requires mixture of 75% base 25% color. How many gallons of base should you mix for 4 gallons of color ?

Answers

12 gallons of base are needed

Catherine wants to pass year for Ms. Ford's class and all she has left is to take the final Spring Final. If she earned a 60 on Semester 1, a 62 on RC3 and a 53 on RC4 what is the minimum score she would need to earn on the final to pass for the year? RC3 and RC4 are averaged together for 90% of the semester 2 grade. The Spring final is 10% of the semester 2 grade. The final grade is the average of the Semester 1 and Semester 2 grade. A 70% is passing.

Answers

Step-by-step explanation:

The final grade is the average of the two semesters.

70 = ½ (60 + x)

x = 80

So Catherine needs a Semester 2 grade of 80%.

The average of RC3 and RC4 is ½ (62 + 53) = 57.5.  This accounts for 90% of the Semester 2 grade.  The other 10% is the Spring final.

80 = 0.90 (57.5) + 0.10 (x)

x = 282.5

Catherine would have to score 282.5% on the Spring final in order to pass.

What is the value of the 3 in 513

Answers

Answer:

3

Step-by-step explanation:

513 = 500 + 10 + 3

The 5 is worth 500.

The 1 is worth 10.

And the 3 is worth 3 !

Answer:

The value of 3 in 513 is the ones place.

Step-by-step explanation:

Find the equation of the line with slope 3/5 and y-intercept (0,4)

Answers

Answer:

10,5

Step-by-step explanation:

Answer:

y=3/5x+4

Step-by-step explanation:

slope intercept form is y=mx+b

m=3/5

b=4

. When the process of solving a linear inequality results in the variable being eliminated with a false statement remaining, what does this mean about the solution set of the inequality?

Answers

Answer:

No Solution

Step-by-step explanation:

When we solve linear inequalities using any one the methods such as

1) Elimination  or

2) Substitution

And we get  the variable eliminated with a false statement remaining, this means there is no solution.

In other words the solution does not exist or the solution is not possible in the given range or the values given are false.

But when the values are true we get a solution for the variable solved.

In the elimination method we eliminate the same terms by addition or subtraction after making them equal.

And the substitution method requires putting the values of one variable in place of another.

Name 4 noncoplanar points.

Answers

Answer:

RPVN

Step-by-step explanation:BRBR

What is the constant in the expression 9y + 12

Answers

In this expression, the constant would be 12.

A constant is simply a term that has no variable next to it.

It would be 12 a constant is a number on its own basically

A ____ is written as an if-then statement A.conjecture B.counterexample C.conditional D.negation​

Answers

Answer: C

Definition of a conditional:

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.

HELP!!! Need help with my home work!

Answers

Answer:

xy - y^2/x

Step by step explanation:

the image is attached here.

Answers

There is nothing here

Given AD = BC and AD parallel BC Prove ABCD is a parallelogram proof

Answers

Answer: the ABC is up illogic of the Paul Graham that makes the box square root to DC=BA

Step-by-step explanation:

Statements                                                                 Reasons

1. AD ≅ BC; AD ∥ BC                                              1. given

2. ∠CAD and ∠ACB are alternate interior ∠s          2. definition of alternate                                                                                    interior angles

3. ∠CAD ≅ ∠ACB                                                    3. alternate interior                                                                                          angles are congruent

4. AC ≅ AC                                                              4. reflexive property

5. △CAD ≅ △ACB                                                  5. SAS congruency                                                                                                   theorem

6. AB ≅ CD                                                            6. Corresponding Parts                                                                                   of Congruent triangles are                                                                               Congruent (CPCTC)

7. ABCD is a parallelogram                                  7. parallelogram side                                                                                         theorem

If f(x) = 2x + 4 and 9 (20) = x - 3, find f (g(x)).

Answers

Answer: D

Step-by-step explanation:

To find f(g(x)), you want to take g(x) and plug that into f(x). Since we are given f(x) and g(x), we can go ahead and do that.

f(g(x))=2(x-3)+4                  [distribute]

f(g(x))=2x-6+4                     [combine like terms]

f(g(x))=2x-2

Now, we know that f(g(x))=2x-2.

If 9 (x) = – 5x2 – 4x + 19 find f (–3)

Answers

Answer:

- 14

Step-by-step explanation:

[tex]f(x) = - 5 {x}^{2} - 4x + 19 \\ plug \: x = - 3 \\ f( - 3) = - 5 {( - 3)}^{2} - 4( - 3) + 19 \\ f( - 3) = - 5 \times 9 + 12 + 19 \\ f( - 3) = - 45 + 31 \\ f( - 3) = -14[/tex]

ASAP FASTER THAN THAT ITS DUE IN LIKE 30 OR LESS MINuTES
Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A.

Select ALL of the measurement pairs that could be the dimensions of Rectangle B.

A. 4.5 inches by 1.5 inches
Could or could not(thats the question for all of them)
B. 8 inches by 2 inches
could or could not
C. 10 inches by 4 inches
could or could not

D. 13.5 inches by 4.5 inches
could or could not
E. 90 inches by 30 inches
could or could not

Answers

Answer:

a,d,e could

Step-by-step explanation:

a-is 1/2 of rec a so yes

b-no

c-no

d-could it 1.5 of rec a

e-could it 10 times rec a

Which equations are related equations to x + 5 = 34. Select each correct answer. A. X = 34 - 5 B. 5 = 34 - x C. X + 34 = 5 D. X = 34 + 5

Answers

A because is adding then subtracting then diving but last of all multiple times).))/)/)/)

Write a ratio for the following description: Kaleel made three times as many baskets as John during a basketball practice.

Answers

Answer:

3:1

Step-by-step explanation:

If John makes 3, Then Kaleel makes 9,  If John makes 1, Then Kaleel makes 3.

(7x+40)+(6x+43)=180 x? Z?

Answers

[tex](7x + 40) + (6x + 43) = 180\\7x + 40 + 6x + 43 = 180\\7x + 6x = 180 - 40 - 43\\13x = 97\\x = \frac{97}{13}[/tex]

I'm not sure what you mean by Z but x is [tex]\frac{97}{13}[/tex]

A mixed number can have the same value as an improper fraction. True False​

Answers

This Answer Is : True.

Answer:

true

Step-by-step explanation:

a mixed number can have the same value as an improper fraction but never as an proper fraction

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:

Subtract. (4z+9)–(2z+2)

Answers

Answer:

(2z+7)

Step-by-step explanation:

Distribute -1 to (2z + 2)

4z + 9 -2z -2

Combine like terms:

2z + 7

A small pebble has a mass of
about
20 L
b.
20 ml
20 g
20 kg
d.

Answers

Answer:

20g

since mass should be in kg or gram if small then g

Of 150 goldfish in the fish pound, 27 are red. What percentage of goldfish are red?

Answers

To get the percent, divide 27 by 150 then multiply the quotient by 100.

(27 / 150) * 100 = 18%

help plz I GIVE OUT BRAINIEST!

Answers

He ran 100 meters in 9.63 seconds, so we can set up the equation below and do these steps...

100 meters = 9.63 seconds

10.384 meters = 1 second (divide both sides by 9.63)

37382.4 meters = 3600 seconds (multiply both sides by 3600)

37382.4 meters = 1 hour

His speed is roughly 37382.4 meters per hour, which is less than 40234 meters/hr = 25 mi/hr

Answer: his speed is less than the speed limit 25 mph

Here is the question 20 points and brainlest but I want a detailed answer​

Answers

Answer:

18.75 sq.feet

Step-by-step explanation:

According to the question

1 card = 18 sq.in

150 cards = 150 * 18

                =  2700 sq.in

                = 18.75 sq.feet

V=1/3(pie)r(squared)h Need to isolate h.

Answers

Answer:

[tex]\frac{v}{\frac{1}{3}\pi^{2}}=h[/tex]

Step-by-step explanation:

Divide V by everything you don't need on the right side.

So, You should end up with

[tex]\frac{v}{\frac{1}{3}\pi^{2}}=h\\[/tex]

Jane wants to determine the shortest route from her home to her workplace.
She walks only on the sidewalks indicated by dotted lines on the map. What is
the distance of the shortest route from home to work to the nearest block?
(IMPORTANT NOTE - 1) Turn radicals into decimals. 2) Do not round decimals
until the very end of the problem).
HELP PLEASE I have no idea how to do this

Answers

Answer:

did anyone figure this out

The distance between two points on a plane can be found by Pythagoras's theorem.

The shortest route from her home to her workplace is the route that passes along the block in the middle of the graph ,which is approximately 2.5 blocks shorter, than the apparently next shortest route.

Reason:

The shortest distance between two points is a straight line.

The shortest route to her workplace are the routes that approximate a straight line the most.

Following the dotted lines, there are two routes, that are approximately direct and therefore short routes to her workplace which are;

The route heading past the block close to the center of the map to her workplaceThe route to the left of the above route

Taking the route that passes close to the center of the map to her workplace ,gives;

Path 1 = √(2² + 4²) = 2·√5 (by Pythagoras's theorem)

Path 2 = √(1² + 2²) = √5

Path 3 = 1 + 1 = 2

Path 4 = √(2² + 3²) = √13

Path 5 = 3

Cumulative distance = 2·√5 + √5 + 2 + √13 + 3 ≈ 15.3

Taking the route to the left of the above route, gives;

Path 1 = √(2² + 4²) = 2·√5

Path 2 = 7 + 6 = 13

Cumulative distance = 2·√5 + 13 ≈ 17.5

Therefore, the shortest route is the route that heads to her workplace, through, close to the center of the map, which approximately 17.5 blocks - 15.3 blocks  = 2.5 blocks shorter

Learn more here:

https://brainly.com/question/20054245

3a − 2a + 4 = 16 Solve for a.

Answers

Answer:

a=12

Step-by-step explanation:

[tex]3a-2a+4=16\\\\(3a-2a)+4=16\\\\(3-2)a+4=16\\\\1a+4=16\\\\a+4-4=16-4\\\\a=12[/tex]

A perfect square ends with the same two digits. How many possible values of this digit are there?

Answers

Answer:

A perfect square is a whole number that is the square of another whole number.

n*n = N

where n and N are whole numbers.

Now, "a perfect square ends with the same two digits".

This can be really trivial.

For example, if we take the number 10, and we square it, we will have:

10*10 = 100

The last two digits of 100 are zeros, so it ends with the same two digits.

Now, if now we take:

100*100 = 10,000

10,000 is also a perfect square, and the two last digits are zeros again.

So we can see a pattern here, we can go forever with this:

1,000^2 = 1,000,000

10,000^2 = 100,000,000

etc...

So we can find infinite perfect squares that end with the same two digits.

please help me and also show work plz​

Answers

Answer:

[tex]\boxed{k = -6}[/tex]

Step-by-step explanation:

[tex]13 +\frac{k}{3} =11[/tex]

→ Multiply everything by 3

[tex]39 + k = 33[/tex]

→ Minus 39 from both sides to isolate k

[tex]k = -6[/tex]

4x + y = 2
I need to solve the literal equation for y.

Answers

Answer: y=2−4x

Step-by-step explanation:

When solving for y in this problem(4x+y=2) we need to get y by itself in the equation. To do this we need to move 4x over to the right side of the equation. To do this we subtract, 4x from both sides of the equation.

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