5 (x + 5) > 2(x + 4)

5 − (x + 5) > −2(x + 4)

Answers

Answer 1

[tex]5-(x+5) \ \textgreater \ -2(x+4)\\\\5-x-5 \ \textgreater \ -2\cdot x-2\cdot4\\\\5-5-x \ \textgreater \ -2x-8\\\\-x \ \textgreater \ -2x-8\ \ \ |add\ 2x\ to\ both\ sides\\\\x \ \textgreater \ -8\to x\in(-8;\ \infty)[/tex]

Related Questions

A pet store had 4 cats to feed. If they only had one fifth of a bag of cat food and each cat got the same amount, what fraction of the bag would each cat get?

Answers

Each cat would get 1/20 of the whole bag of cat food.

4 cats and 1/5 of a bag
When dividing fractions you could turn the fraction into a decimal or Keep Change Flip

Decimal: .2 divided by 4 = .05
KCF: 1/5 x 1/4 = 1/20

The answer is 1/20 or .05

What is the net force in the parachutist ?

Answers

Force = mass x acceleration (F=ma)
When the parachutist reaches terminal velocity they are moving at a constant speed and no longer accelerating so acceleration (a) would be 0

so F would also be 0 since anything multiplied by 0 = 0

this would also mean that Fdrag must exactly balance Fg
so Fdrag would = -Fg, so Fdrag would be -850 N

A car uses 8 gallons of gasoline to travel 290 miles. How much gasoline will the car use to travel 400 miles

Answers

To find this answer, you would need to find how many miles 1 gallon of gas will take them. To find this, you would do 290÷8=36.25. So with this information, you will be able to find out how much gas it would take to travel 400 miles. You would do 400÷36.25=11.03. 11.03 would be how many gallons of gas is used to travel 400 miles. Hope this helps! ;)

How much gasoline will the car use to travel 400 miles is 11.03 gasoline.

Formulate

400×8÷290

Calculate the product or quotient

3200/290

Cross out the common factor

320/29

Hence:

11.03 gasoline

Inconclusion how much gasoline will the car use to travel 400 miles is 11.03 gasoline.

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A kennel has 100 dogs in total, some are puppies and some are adult dogs. the ratio of puppies to adults in a kennel is 1:4 how many puppies are there

Answers

Puppies : Adults = 1 : 4

Total parts = 1 + 4 = 5

5 parts = 100 dogs
1 part = 100 ÷ 5 = 20 dogs

Answer: 20 puppies

Final answer:

The number of puppies in the kennel is 20, given that the ratio of puppies to adult dogs is 1:4 out of a total of 100 dogs.

Explanation:

In the given scenario, the number of dogs in the kennel is 100, and the ratio of puppies to adult dogs is 1:4. This means that for every one puppy, there are four adult dogs. Therefore, the total number of sections we have is 1 (for puppies) + 4 (for adult dogs), which equals 5. To find out how many puppies there are, we divide the total number of dogs by the total sections, and multiply by the number of sections for puppies. Therefore, the calculation would be as follows:

Divide the total number of dogs (100) by the total sections (5):
This gives us 20 dogs per section. Multiply this by the number of sections for puppies (1):
This gives us 20 puppies in the kennel.

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three times the square root of a number is the same as 4 less than the number. find the number

Answers

The problem is asking you to find x in this equation: 3×√x = x-4 I guessed and checked for this problem with numbers that were perfect squares like 4,9,16 etc. The number you are looking for is x=16 The square root of 16 is 4. 4x3=12 and 16-4 is 12.
Hope I helped!

If the least value of n is 4, which inequality best shows all the possible values of n?

n ≤ 4
n ≥ 4
n < 4
n > 4

Answers

Comment
If the least value of n is 4 that means that 4 is one of the numbers in whatever it is that you are describing. In other words n = 4 is part of your answer. If that is the case, the last two values are incorrect because 4 is not included in either one of them.

Discussion
So that means that you have to choose between one of the first 2. The key word is least. It means that the lowest possible value is 4. Nothing is lower.

When you write something like n ≤ 4 what you are saying is the n must be = to or less than 4. The arrow head points to the smallest number which, in this case, is n.

But the question says that the least number is 4. So the arrowhead must point towards the 4. This we have that n must be larger than 4.

Conditions
There are 2 conditions to this problem
n must be greater than 4
n can equal 4. It is the smallest number.

Answer
n≥4 <<<<<answer
B <<<<<< answer.

Somebody help please and explain!!!????

Answers

The Fibonacci series starts (usually with two ones) and a two. for the first 3 numbers. It looks like this
1 1 2 3 5 8 etc.

Yours is a variation in the way it starts but it follows the same rule.
To get the next term in the series, you add the previous 2 terms.

So for example, to get 8, you would add 3 and 5 together. To get 13 your add 5 and 8 together.

To get the next branch add 8 and 13 together. That makes 21. To get the one after that, add 21 and 13 together. 21 + 13 = 34

When you study recursion, this series is going to come up a great deal.

Answer: 21, 34
C <<<<< answer

PLEASE HELP ASAP I GIVE BRAINLIESTS!!!!!!

Answers

-0.4=-2/5
-7.32=-7 8/25
_
0.2=1/5
I don't know if the last one is correct but the other two are.

Alright here we go.

Number 8= -2/5

Number 9 = -18.3/25

Number 10 = 1/5 ?

Number 8 = Divide -0.4 by 1 to get the fraction of -0.4/1 and multiply both sides by 5 to get simplified of -2/5.

Number 9 = Divide by 10 to get -7.32/10 and multiply by 100 to get -732/1000. Then divide both sides by 40 to get -18.3/25.

Number 10 = Might be right or wrong but since it's 0.2, this simplifies to 2/10, which equals 1/5.

Hope this helps.

cuanto cuestan 4 camisetas a $16,000 la docena?

Answers

Lo siento, no sé español, pero lo intenté.

Si se trata de "$ 16,000" para una docena de camisas que es 12, se dividiría "16,000 entre 12". Luego obtendrás 1,333.3 para multiplicar eso por 4 y luego obtendrás 5,333.3 a lo que responderás.

Esta es la ecuación,
16,000 / 12 = 1,333.3 x 4 = 5,333.3

Espero que esto ayude :-)

One leg of a 45 - 45 - 90 triangle measures 12 centimeters what is the length of the hypotenuse

Answers

The angles of the triangle are given as to have measures of 45°-45°-90°. This entails that the triangle is an isosceles triangle where the 2 legs of the triangle are of equal length. We calculate as follows:

c² = a² + b²

c² = 2a²

4² = 2a²

a = 2√2

Hope this answers the question.

Hello!

Since this triangle is what I like to call a "45er", and both legs of a 45er are equal, we can now apply the Pythagorean Theorem to find the measure of the hypotenuse.

[tex]12^2 + 12^2 = c^2 144 + 144 = 288 \sqrt{288} = 16.9 [/tex] (Rounded)

Your answer is 16.9. Round this to 17 if the question is looking for a whole number. :)

Drag the numbers to the boxes to order them from least to greatest value.

Answers

it will be
.9,0,2,√5,47/14
the square root of five is 2.23 and when you convert 45/14 to a decimal it is 3.35 which in this case is the greatest value which makes .9 the smallest or in this case the least

The median of a set of three numbers is x. there at least three numbers in the set. Write an algebraic expression, in terms of x, to represent the median of the new set of numbers obtained by

a. adding 1/8 to every number in the set

b. subtracting 9 1/4 from every number in the set

c. multiplying -5.8 to every number in the set and then adding 3 to the resulting numbers

d. dividing every number in the set by 0.5 and then subtracting 1 from the resulting numbers

e. adding 7.2 to the greatest number in the set

f. subtracting 4.2 from the least number in the set

Answers

The median of a set of three numbers is x. there at least three numbers in the set. Write an algebraic expression, in terms of x, to represent the median of the new set of numbers obtained by
a] adding 1/8 to every number in the set
Let the numbers be w,x,y
adding 1/8 to the number we get:
(w+1/8),(x+1/8),(y+1/8)
the new median will be:
(x+1/8)

b. subtracting 9 1/4 from every number in the set
Given our data set is w,x,y
adding 9 1/4 to each number we get:
(w+9 1/4),(x+9 1/4), (y+9 1/4)
thus the new median is:
(x+9 1/4)

c]multiplying -5.8 to every number in the set and then adding 3 to the resulting numbers
Multiplying each number by -5.8 we get:
(-5.8w),(-5.8x),(-5.8y)
adding 3 to these numbers we get:
(-5.8w+3),(-5.8x+3),(-5.8y+3)
thus the new median is:
(-5.8x+3)

d]dividing every number in the set by 0.5 and then subtracting 1 from the resulting numbers
dividing each number in our set by 0.5 we get:
(w/0.5),(x/0.5),(y/0.5)
this will give us:
(2w),(2x),(2y)
then subtracting 1 from the above we get:
(2w-1),(2x-1),(2y-1)
thus the median will be:
(2x-1)

e. adding 7.2 to the greatest number in the set
from our set:
w.x.y
the greatest number is y, then adding 7.2 to the greatest numbers gives us:
y+7.2
thus new series is:
w,x,y+7.2
thus the median is:
x
Conclusion
The median doesn't change

f. subtracting 4.2 from the least number in the set
from our set w,x,y; subtracting 4.2 from the least number gives us:
w-4.2
the new set is:
w-4.2, x, y
thus the new median is x
Conclusion
The median doesn't change

When and why does order matter

Answers

If you are talking about order as in PEMDAS, then it is important when you have certain equations.

Example:
20 - 6 • 2 = ?

The answer is 8, because you go start with multiplication then you subtract.

But, if you just went straight across without order you would get 24.

Order is necessary for organized and accurate equations that could affect your answer.

P- parenthesis
E- exponents
M- multiplication
D- division
A- addition
S- subtraction

Eric is getting his mountain climbing cerificate. There are 63 days that Eric climbs for 2 hours, there are 97 days that he climbs for 3 hours. How many more hours does Eric need to climb until he earns a certificate for climbing 500 hours?

Answers

Multiply 63x2= 126 then multiply 97x3=291
126+291=417. he needs 500 hours now you will subtract 500-417=83 he needs 83 more hours to reach 500

Final answer:

Eric's total hours climbed so far are 417 hours. To meet his goal of a 500-hour certificate, he still needs to climb for 83 additional hours.

Explanation:

The question pertains to Eric's mountain climbing practice. To find how many more hours does Eric need to climb to earn his 500-hour certificate, we need to calculate the total hours he has already climbed by multiplying the number of days he climbed by the number of hours he climbed each day.

So, for the 63 days Eric climbed for 2 hours each day, that's 63 * 2 = 126 hours.

And for the 97 days he climbed for 3 hours each day, that's 97 * 3 = 291 hours.

Now, we add these two amounts together: 126 hours + 291 hours = 417 hours.

Since he is aiming for a 500-hour certificate, we subtract the hours he has already climbed from this total: 500 hours - 417 hours = 83 hours

Therefore, Eric needs to climb for 83 more hours to earn his 500-hour certificate.

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Rewrite this logarithm as a subtraction of logs

Log4(13/37)

Answers

[tex]Use:\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log_4\dfrac{13}{37}=\log_413-\log_437[/tex]

Are the forces blanched or unbalanced support your answer :)

Answers

there is 100 pushing to the right and 10 pushing to the left
since 100 is larger than 10, the force is unbalanced.and the object would move to the right.

Edgar collects sports T-shirt.He has 16 socoT-shirts and 24 rugby T- shirts. He has 12 hats. Haw many T -shirt does Edgar have in all? Draw a picture and write an equation to show your work

Answers

Edgar has 40 shirts. The equation you could write is 24+16=40. Hope this helps!!

Find the equation for the line that passes through A's hypotenuse
plz show work

Answers

The answer is: " 1 "
_________________________________________
" y = -2x + 1 " .
_________________________________________
Explanation:
_________________________________________

Look at the hypotenuse for "ΔA" and note the coordinates of where the hypotenuse crosses the "y-axis".

The coordinates are: " (0, 1) " ; that is: " x = 0 ; y = 1 " .

So, the problem /question is: " y = -2x + [?] " ;

→ Plug in " 1 " for "y" ; as follows:

→ " 1 = -2x + [?] " ;

→ We know that "x = 0";

→ when "x = 0" ; → " -2x " = " (-2 * 0) = 0 ;

So, 1 = 0 + [?] ;

The answer is " 1 " ; since: " { 0 + 1 = 1 .} .

Or, with a more detailed explanation:
_______________________________________________________
→ 1 = 0 + [?] ;

Subtract "0" from EACH SIDE of the equation;

→ 1 − 0 = 0 + [?] − 0 ;

to get:

→ 1 = [?] ;
______________________________________________________
The answer is: " 1 " .
______________________________________________________

T + 7 = 25

Y - 8 = -8

16 + x = 21

21 = 4 + p

Show your work ! .

Answers

You have to do the inverse operation for each of them

25-7=18
T=18

0-8=-8
Y=0

21-16=5
x=5

21-4=17
p=17

EASY MATH!!! The formula F=9/5C+32 is used to convert Celsius to Fahrenheit temperature. A. Solve the formula for C B. The boiling point of water is 212 F What is C?
If a house thermostat was set at 80F what is C? Answer at nearest tenth. DO THIS

Answers

F=\dfrac{9}{5}C+32\\\\A.\\\dfrac{9}{5}C+32=F\ \ \ |-32\\\\\dfrac{9}{5}C=F-32\ \ \ |\cdot\dfrac{5}{9}\\\\C=\dfrac{5}{9}(F-32)

B.\\F=212\to C=\dfrac{5}{9}(212-32)=\dfrac{5}{9}\cdot180=100\\\\212^oF=100^oC

C.\\F=80\to C=\dfrac{5}{9}(80-32)=\dfrac{5}{9}\cdot48\approx26.7\\\\80^oF\approx26.7^oC

please solve both, graph and show work. answer also has to be in y=mx+b format.

2x-y=1 and x+y=2

Answers

To solve both it is (1,1). I'm not sure how to write the answer in y=mx+b format, but I made a graph using desmos.com if that helps.

Suppose the volume of a right circular cylinder is 225 cubic meters and the area of its base is 25 square meters. What is the height of the cylinder?

Answers

Volume of a cylinder: [tex] \pi [/tex]r²h

First we need to find the radius of the cylinder. It's area is 25. We can plug that into the area formula, [tex] \pi [/tex]r² and solve for r (radius).

[tex] \pi [/tex]r² = 25
Divide both sides by [tex] \pi [/tex].

r² = 7.96
Square root both sides.

r = 2.82 meters

Now plug the radius + volume into the volume formula and solve for h.
[tex] \pi [/tex]2.82²h = 225
Divide by [tex] \pi [/tex].

2.82²h = 71.62
Divide by 2.82².

h = 9

The height of the cylinder is 9 square meters.

The height of the cylinder will be 9 meters.

What is the volume of a right circular cylinder?

Let r be the radius, h be the height, and A be the area of the cylinder. Then the volume of the cylinder will be given as,

V = π r²h cubic units

V = Ah cubic units

Suppose the volume of a right circular cylinder is 225 cubic meters and the area of its base is 25 square meters. Then the height of the cylinder is calculated as,

225 = 25h

h = 225 / 25

h = 9 meters

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Arnold wants to buy two bicycles. Which shop provides the lowest price on the bicycles?

A- Bob's Bikes
B- Walt's Wheels
C- Carson's Cycles
D- Tino's Transportation

I need help on this one. Also pleaseeeee include how you solved it.

Answers

Bob's Bikes
260 × 0.2 = 52
260 - 52 = 208
208 × 2 = $416.00

Walt's Wheels
300 × 0.6 = 180
300 - 180 = 120
120 × 2 = $240.00

Carson's Cycles
310 × 0.1 = 31
310 - 31 = 279
279 × 2 = $558.00
(i can't read what it says for $50, comment below if it makes a difference, i'll edit)

Tino's Transportation
260 ÷ 2 = 130
260 + 130 = $390.00

B) Walt's Wheels provides the lowest price for two bicycles.

Please any one can help me with one

Answers

gallon, cup, quart, pint, teaspoon
gal, c, qt, pt, tsp

Teaspoon is the smallest, then cup, pint, quart, and gallon.

The answer is C) 1 tsp, t c, 1 pt, 1 qt, 1 gal.

Final answer:

The question lacks sufficient details to be categorized accurately. Further clarification is required to give a proper response.

Explanation:

The question does not provide enough information to determine its subject, grade level, or the exact academic help needed. To provide efficient help, it would be most beneficial if you can clarify your question specifying the academic subject and the grade level of this question and also give a clear context of what exactly is your challenge.

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Identifying the Factored Form of a Trinomial Which expression is the factored form of x2 – 7x + 10?

Answers

let's call x^2: a; -7x: b; and 10:c
So what I do in this case:
when the number squared does not have a coefficient in front, I ask myself, what does A times C equal
the answer is 10 --> now what factors of ten, add up to -7 (the factors can be negative and/or positive)
the answer is -2 and -5
so with this, you do: (x-2)(x-5)
there's your answer, i hope that makes sense

Please Help Me With these questions!

Answers

Hello again!

1. Skew lines are lines that are not on the same plane, and hence are not parallel and do not intersect. The correct answer is D.

2. Parallel lines are lines that run next to each other, but will never intersect. FG and EH will never intersect, and they run next to each other. The correct answer is B.

Hope I helped! :3

HELP PLEASE!!!!!! Answer all questions, please... Linear? Is there a pattern in the data points? If so, describe the pattern.

Do the points show a positive linear association, a positive nonlinear association, a negative linear association, a negative nonlinear association, or no association?

What does this association tell you about the relationship between the variables?

Are there any clusters or outliers?

Answers

This is linear as long as the points can be seen following the trend line. The graph shows a positive association. This tells you that the average height increases with rainfall. A cluster can be found in between 0.25 and 0.5 on the y-axis, there are no outliers. The pattern shows the trend line increasing at a steady, somewhat predictable rate.

Plot and connect the points A(4, 6), B(4, 0), C(1, -3), and D(1, 3), and find the area of the parallelogram formed.

Answers

I got C. 20 square units.

I could be wrong, but probably not. It was hard to figure out what the plot numbers were and the answer choices because the picture was super blurry. That's why I said I might be wrong.

Hope this helps!! :-)

Answer:

Step-by-step explanation:

i just did this it is 18

I’m Dec. 4, 1998, sunrise was at 6:58am.and sunset was at 4:12pm. The length of the daylight from sunrise to sunset was:
A.)8 hr 15min
B.)9hr 3min
C)9hr 12min
D)9hr 14min
E)10hr 15min

Answers

6:58 AM to 4:12PM = 9 hours and 14 minutes

answer

D)9hr 14min

9hr 14 min is the Answer

A fisherman borrowed 85,000 over 25 years at 13.5% p.a. interest compounded monthly. At the end of the seventh year, interest rate climbed to 15% p.a. compound and fisherman's repayments were increased to allow him to complete the repayments by the end of 25 years term.

a. how much did the fisherman owe at the end of the first 7 years?
b. what were his monthly repayments for remaining 18 years?
c. how much interests in total did the fisherman pay at the end of the 25 years long.

Answers

Amount borrowed, A1 = 85,000
Rate, i, for the first 7 years = 13.5% = 0.135
Rate, i, for the remaining 18 years = 15% = 0.15

Part (a): Amount owed after 7 years
Without interest rate, monthly payment, Po= 85,000/(12*25) = 283.33
After 7 years, principal amount remaining = 85,000 - (283.33*7*12) = 61,200.

Therefore, the amount owed after 7 years, A2 = 61,200

Part (b): Monthly repayment for the rest of 18 years
Rate, i = 15% = 0.15

Monthly payment, P(18) = A1*D2
D2 = {0.15/12}/{1-(1+0.15/12)^-12*25} = 0.01281

Then,
P(18) = 85,000*0.01281 = 1088.71

Part (c): Total interest paid
I =[ I(7) + I(18)] - A1

I(7) = P(7)*7*12 + P(18)*18*12

Now, P(7) = A1*D1
D1 = {0.135/12}/{1-(1+0.115/12)^-12*25} = 0.01165

Then,
P(7) = 85,000*0.01165 = 990.25

Therefore,
I = [990.25*7*12 + 1088.71*18*12] -85,000 = 318,341.50 -85,000 = 233,341.50

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