Which inequality is equivalent to the given inequality? -4(x+7)< 3(x-2)

Answers

Answer 1

Answer:

x > -22/7

Step-by-step explanation:

To find out which inequality is is equivalent, you solve for x.

-4(x+7) < 3(x-2): distribute variables

-4x-28 < 3x-6: Add 6 to both sided

-4x-22 < 3x: add 4x to both sides

-22 < 7x: divide by 7

-22/7 < x: you can switch sides if prefered but you have to switch sign too

x > -22/7


Related Questions

Which number is a multiple of 9?
A:109
B:3
C:27
D:89

Answers

Answer:C

Step-by-step explanation:

9 x 3 = 27

the correct answer is c 9 times 3 equals 27

What does the expression 1.49p + 3.49p represent?

what does it represent

Answers

I believe it’s 4.98p?

What is an equation of the line that passes through the point
(-6, – 7) and is perpendicular to the line 6x + 5y = 30?
HELP!!!

Answers

Answer:

(y+7)=5/6(x+6)

Step-by-step explanation:

For this problem we need to use Point-Slope Form to write an equation.

We already have the point, (-6,-7), so all we need now is the slope, which we know is perpendicular to the line 6x+5y=30.

First, let's find the slope of 6x+5y=30 by converting it into Slope-Intercept Form, which is y=mx+b. m is the slope.

6x+5y=30

5y=-6x+30

y=-6/5x+6

So the slope of this line is -6/5, but we need the slope of the line is perpendicular to this line.

When a line is perpendicular to another, their slopes are negative reciprocals to one another, or opposite reciprocals. For example, a line that is perpendicular to another line that has a slope of 3/4 will have a slope of -4/3. Flip the numerator and denominator to find the reciprocal and add a negative.

x

So the negative reciprocal of -6/5 is 5/6, so that is our slope.

Now we can assemble our equation, here is the Point-Slope Form:

[tex](y -y_{1}) =m(x-x_{1})[/tex]

again, m is our slope.

[tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent the coordinates of the point that this line passes through, (-6, -7).

Let's plug in the y, x, and m values:

(y-(-7))=5/6(x-(-6))

Simplify:

(y+7)=5/6(x+6)

That is our final answer.

An alien blob started with a mass of 12 kg and is doubling in size every day. How large will the blob be after 2 weeks? y=a(b)^x

Answers

Answer:

208

Step-by-step explanation:

Solve This Equation
x/3 - 7(x-2)/9 = 4 - 2x-5/6

Answers

exact form: 42/55
decimal form: 0.763 (a line is above 63)

-5
-4
-3
-2
-1
0 1 2
3
4
u

Answers

Answer:

Step-by-step explanation:

Can you rephrase the question.

select the construction that guaranties A is a reflection of point A across line BC

Answers

Answer:

I think it's Axial Symmetry.

Step-by-step explanation:

You draw a perpendicular line to the line BC through A.You get your compass and set it to the distance between the point A and the line BC. Using that distance on your compass, put the point of your compass on the point where the perpendicular line and BC intersect. Mark the distance on the perpendicular line. The reflection is the point you mark on the perpendicular line.

1. Point M is on PQ, PM has a length of 7 units, and point N is the midpoint of MQ. If the length of NQ
is 4 units, how long is PQ?
PA
A 3 units
B. 11 units
C. 15 units
D. 18 units

Answers

Answer:

C. 15 units

Step-by-step explanation:

PM = 7 units

p..............M..........N............Q

   7 unit                     4 unit

NQ = 4 units

Given that

N is midpoint of MQ

it means N divides MQ into two equal parts

thus

MN = NQ = 4 units

now

we have to find length of PQ

p..............M..........N............Q

   7 unit     4 units     4 unit

PQ = PM + MN + NQ

PQ = 7 units + 4 units + 4 units = 15 units

thus, correct answer is option c 15 units

Answer:

15 units

Step-by-step explanation:

Alice and Bob are playing the Smallest Positive Integer Game. Alice says, "My number is 24." Bob says, "What kind of silly smallest number is that? Every prime factor of your number is also a prime factor of my number." What is the smallest possible number that Bob could have?

Answers

Answer:

6

Step-by-step explanation:

Alcumus Explanation: The prime factorization of 24 is 2^3 times 3, so 2 and 3 have to be prime factors of Bob's number as well. The smallest possible number is when each the exponents of both of them is 1, giving 2 times 3= 6.

Hope it helped!

Veronica bought a shirt and a sweater for a total price of $65. The price of the sweater was $2 more than twice the price of
the shirt. What was the price of the shirt?

Answers

Answer: 32.5

Step-by-step explanation: you divide it.

YOU NEED TO ANSWER THIS NOW>
What is the equation in slope-intercept form of the line that passes through the points ( -4, 47) and ( 2 , -16)?
ANSWER CHOICES BELOW...ANSWER CORRECTLY PLZ TAKING INTERIM NOW

Answers

Answer:

C

Step-by-step explanation:

Slope intercept form equation is y=mx+b

M=Slope

Slope equation is y2-y1 over x2-x1

So -16 - 47 over 2- (-4)

-63 over 6

Divide by 3 to simplify

= -21 over 2

Keep that as your answer for slope because a mixed number can't be used for slope but an improper fraction is perfectly fine

To find b use one point given (I chose to use (2, -16)

Plug that in and your slope to find b

-16= -21/2 (2) +b

-16= -21+b

+21 +21

5=b

Now plug that in and youre done

Y= -21/2x + 5

Answer:

hi

Step-by-step explanation:

hey bestie

evaluate -4 1/3 + 5 2/3 show work

Answers

Your answer will be -4/3. I showed you how I got it. Message me if you still don’t get it. Hope this helps!

A function in which each yvalue has only one corresponding x-value is called
a:
A. one-to-one function.
B. linear function.
o
c. many-to-one function.
D. nonlinear function.


Answers

Answer:

one to one function

Step-by-step explanation:

what is the answer 8/2x4-(3+1)
to this problem

Answers

Answer:

14

Step-by-step explanation:

8/2 × 4 - (3+1)

Using the order of operation, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), we can figure out the answer to this expression.

8/2 × 4 - (2)

4 × 4 - (2)

16 - 2

14

doe this equal to 1800?​

Answers

Answer:

Yes it equals 1,800

Step-by-step explanation:

Hope that helps

Answer:

Yes, it does. Good job!

Step-by-step explanation:

HAVING A BAD DAY PLEASEEEE HELPPPP
Jasmine drives every morning to her office that is 12 miles from her home.
a

If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?

Answers

Answer:

the answer is 48

Step-by-step explanation:

you take the 12 and multiply it by s then you add the distance to the office then multiply those together

Answer:

12/s

Step-by-step explanation:



Ms. Harris goes on a road trip with her fellow colleagues for spring break. 10 points
Ms. Harris is trying to estimate how much gas it will to drive 600 miles.
Ms. Harris's car typically gets 29 miles per gallon of gas. How many
gallons will Ms. Harris need to complete her 600 miles of travel.


O 20 gallons

O 19 gallons

O 21 gallons

O 22 gallons

Answers

Answer:

21 gallons

Step-by-step explanation:

600 = 29g

600/29 = g

20.689 = g

Round up

21 = g

Answer:

21 gallons

Step-by-step explanation:when you do 600/29 you get 20.68 if you round that up you get 21

Which formula represents this sequence 2,8,14...?

Answers

Answer:

[tex]a_{n}[/tex] = 6n - 4

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

8 - 2 = 14 - 8 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4

Thus the formula representing the sequence is

[tex]a_{n}[/tex] = 6n - 4

30 = -5(6n + 6) how do I show my WORK????

Answers

Answer:

- 2

Step-by-step explanation:

Step 1:

30 = - 5 ( 6n + 6 )        Equation

Step 2:

30 = - 30n - 30      Multiply

Step 3:

60 = - 30n      Add 30 on both sides

Step 4:

n = 60 ÷ - 30    Divide

Answer:

n = - 2

Hope This Helps :)

What is the solution set of |-x| = -10?

(10)
7-10)
{-10, 10)
no solution

Answers

Answer:

{-10, 10)

Step-by-step explanation:

| | - means to only take the number inside, not the sign

x=-10 or 10

Answer:

i dont understand what you want me to answer

Step-by-step explanation:

Helppp I need help ASAP

Answers

Answer:

it would be B

Step-by-step explanation:

the ratio of tomatoes to cheese slices is 18:4 1/2 so that would be 25% of tomatoes.

Tell me how to divide

Answers

Answer:

I'll try to give u an example the best way possible

Step-by-step explanation:

1) we are going to solve this division problem (84/7).

2) Divide 8 by 7 to get 1. Place this on top of the 8 and the division sign.

3) Multiply 1 and 7 to get 7. Place this under the 8.

4) Subtract 7 from 8 to get 1.

5) Carry down the 4.

6) Divide 14 by 7 to get 2. Place this on top of the 4 and the division sign.

7) Multiply 2 by 7 to get 14.

8) Subtract 14 from 14 to get 0.

The answer is 12!

I have 40 softballs i give 5 softballs to each player. How many players can i give softballs to so that i have at most 10 softballs left

Answers

Answer:

6

Step-by-step explanation:

5 to each players means you have 6 players and then you have 10 left for yourself

Answer:

You can hand out 5 softballs to 6 players.

Step-by-step explanation:

In order to solve this problem, you need to divide 30 balls to each player (In order to have 10 left.) 30 divided by 5 is 6, so you can only hand out 5 balls to 6 players in order to have 10 left out of 40.

Your friend shows you the problem below. He says that the Associative Property allows you
to change the order in which you complete
two operations. Is your friend correct? Explain.

Answers

Answer:

Your friend is incorrect

Step-by-step explanation:

(a + b) + c = a + (b + c) .... associative property of addition

(ab)c = a(bc) .... associative property of multiplication

(a + b)c = a + (bc) .... Incorrect

(ab) + c = a(b + c) .... Incorrect

I WILL GIVE BRAINILY (20 PTS)
There are 15 questions, and John got an 84% on the quiz, how many questions did John get right and how many wrong?

Answers

Answer:

John got 13 questions right and 2 questions wrong.

Step-by-step explanation:

15 questions right equals 100%.

100 {divided by} 15 = % for each question right

Each question is worth (100 diveded by 15) 6.7%.

84% {diveded by} 6.7% = 12.5

100% - 84% = 16%

16% {divided by} 6.7% = 2.38

Because 12.5 has a higher dicimle value than 2.38 and when the amount he got right is added to the amount he got wrong it needs to equal 15, 12.5 becomes 13 and 2.38 becomes 2.

Answer:

[tex]\frac{n}{15} =\frac{84}{100}[/tex]

[tex]n = \frac{21}{25}*5[/tex]

[tex]n = \frac{21*15}{25}[/tex]

[tex]n = \frac{315}{25}[/tex]

[tex]n = \frac{63}{5} or 12.6[/tex]

If 12 lb of potatoes cost $17.00, how much would 18 lb of potatoes cost?

Answers

Answer:

25.5

Step-by-step explanation:

Answer:

The answer is $25.50 for 18 pounds of potatoes.

Hope this helps.

Please mark me as Brainliest if i am correct.

Find the Unit Rate on a 5-gallon bucket of paint that costs $68.75

Answers

Answer:

$13.75 per gallon

Step-by-step explanation:

To solve for any unit rate you use

[tex]\frac{1}{x} =\frac{5}{68.75}[/tex]

Cross multiply.

So 68.75 = 5x

Divide both sides by 5 to get x alone.

13.75 = x

Therefore 1 gallon equals $13.75


If the dimensions of a rectangular playground can be represented as (4x - 5) and (3x + 7), then what is the
area of the playground

Answers

Answer:

6x[tex]x^{2}[/tex] + 41x + 48

Step-by-step explanation:

Answer:

10m and 45m

Step-by-step explanation:

Just did it

Which integer is 55−−√ closest to?

Answers

Answer:

50--

Step-by-step explanation:

how do I do this? can someone please help me

Answers

Answer:

(-4,3)

Step-by-step explanation:

Answer:

P = -4, 3

Step-by-step explanation:

Locate the x-axis (horizontal) location of point P, starting from zero

Point P's x-axis = -4

Now locate the y-axis (vertical) location of point P, starting from zero

Point P's y-axis = 3

Combine the two axes in a coordinate equation.

Point P = (-4, 3)

Note that zero is located at the intersection of the two axes.

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