Solve the following inequality. 21 ≤ -3(x-4) < 30

Answers

Answer 1

Answer:

[tex]-6<x\leq -3[/tex]

Step-by-step explanation:

The process of solving inequalities like this is similar to the process of solving equations. Isolate the variable x, and whatever you do to one side, do to the other sides.

1) First, distribute the -3 to the terms inside the parentheses:

[tex]21\leq -3(x-4)<30\\21 \leq -3x+12< 30\\[/tex]

2) Next, subtract 12 from all three sides:

[tex]21 \leq -3x+12< 30\\9\leq -3x<18[/tex]

3) Finally, divide all three sides by -3. However, remember that whenever you divide numbers on different sides by a negative number, you need to flip the signs to make them face the other way:

[tex]9\leq -3x<18\\-3\geq x>-6[/tex]

Thus, [tex]-3\geq x>6[/tex] is the answer. Normally, answers are written with the numbers going from least to greatest, so you could also write it like this and it would still be correct, too:

[tex]-6<x\leq -3[/tex]

Answer 2

Answer:

C. -6 < x ≤ -3

                     


Related Questions

y=3x, x+y=52
Solve by subtracting

Answers

Answer:

x=13,y=39

Step-by-step explanation:

y=3x,x+y=52

x+3x=52

4x=52

x=52/4

x=13

y=3(13)

y=39

Lee read 1/6 of book on monday and another 1/3 of it on tuesday ,he took another 4 days to finish reading the book he read the same number of pages on each of the days ,what fraction of the book did he read on each of these days?

Answers

Answer:

1/8

Step-by-step explanation:

Let

The total fraction of the book read = 1

The remaining 4 days be represented as= x

Hence:

1 = Fraction of book read on Monday + Fraction of the book read on Tuesday + Fraction of the book on the remaining 4 days

1 = 1/6+ 1/3 + x

x = 1 - (1/6+ 1/3)

x = 1 - (1 + 2/6)

x = 1 - (3/6)

x = 1 - 1/2

x = 1/2

The fraction of the book read in 4 days = 1/2

To calculate the fraction of the book read on each of the days, since he read the same number of pages on each of the days we have:

1/2 ÷ 4 days

= 1/2 × 1/4

= 1/8

Therefore, the fraction of the book that was read on each of the 4 days is 1/8

Wait whats the equation for this?

Answers

Answer:

10.5

Step-by-step explanation:

Both widths are the same in a rectangle. So both are 6.5. Then you subtract 13 from 34. Now you are left with 21. No divide that by two to get your two lengths. That is l. L=10.5

Answer:

Step-by-step explanation:

P=2L+2W

P=34        W= 6.5

34=2L+2*6.5

34=2L+13

2L=21

L=10.5

or

Given:

P = 34 [Perimeter]

W = 6.5 {let's use W and L to make it easy to read]

Also known:

P = W + L + W + L = 2(W+L)

Fill in values:

34 = 2(6.5+L) [NOTE: This is an equation to determine the length (L) of the rectangle."]

. . .

17 = 6.5 + L [NOTE: This is a simplified form of the above equation.]

. . .

10.5 = L [NOTE: This is the solution (the value of L)]

determnine if each table shown below represents a function or not.

Answers

Answer:

Table 1 does not represent a function.

Table 2 does not represent a function.

Step-by-step explanation:

                                                 Table 1

Input (x)               1             3          5              5           9        

Output (y)             7            16         19             20       28

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Table 1 indicates that x = 5 is repeated twice. In other words, the input x = 5 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, table 1 does not represent a function.

                                              Table 2

Input (x)               0.5         7          7               12        15      

Output (y)              1           15         10             23        30

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Table 2 indicates that x = 7 is repeated twice. In other words, the input x = 7 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, table 2 does not represent a function.

Conclusion:

We have concluded that both tables do not represent the function.

Model the unknown number problem by writing in algebraic expression. Jonas shared a bag of trail mix equally with 10 of his teammates. T-11 t/11 11t t+11

Answers

Answer: its t over 11. T/11

Step-by-step explanation:

I took the assignment

Answer:

b

Step-by-step explanation:

Original price of a computer game: $24.50
Discount: 20%
What is the selling price

Answers

Answer:

You will pay $19.6 for a item with original price of $24.50 when discounted 20%. In this example, if you buy an item at $24.50 with 20% discount, you will pay 24.50 - 4.9 = 19.6 dollars.

Step-by-step explanation:

If "k" is a negative number, then k + 2 is a negative number.

Answers

Answer:

Not exactly, if a possitive and a negetive are added together the number that was larger will choose its symbol. Say "k" is -3, so -3 + 2 = -1, or if "k" was -1, then -1 + 2 = 1.

Step-by-step explanation:

I hope that makes sense

Anyone knows the answer

Answers

Answer:

the answer is 0

Step-by-step explanation:

cuz BD = AC

and if u put a number that u want, the answer of BD - AC will be 0

Answer:

0

Step-by-step explanation:

BD is congruent to AC so there's no need to find the values, it's automatically 0

The access code for a car's security system consists of four digits. The second digit cannot be zero and the last digit must be odd. How many different codes are available?

Answers

Answer:

4,500 different codes.

4,500 codes your welcome

Trip has 15 coins worth 95 cents.Four of the coins are each worth twice as much as the rest. Construct a math argument to justify the conjecture that Trip has 11 nickels and 4 dimes

Answers

(11*5)+(4*10)=95
11+4=15
Both are equal to the constraints of the word problem and there for justified.

Ms.Smith is making party bags for her daughter’s birthday party. She wants to give party bags of 4 ounces of candy to each party guest. She bought a 20-pound bag of candy. How many 4-ounce servings are in a 24-pound bag of candy?

Answers

Answer:

there are 96 4 oz servings in a 24 pound bag

Step-by-step explanation:

determine if the following statement is true or false. if it is false, rewrite the statement so it is true. if a function has an inverse, and the function contains the point (r,q), then the inverse also contains the point (r,q).

Answers

It’s false, just rewrite the statement but change the final part where it says the inverse also contains the point “(r,q)” as that’s wrong it would be the point (q,r)

Please I need help!

Answers

Answer:

pls don't give up and try your best!

Step-by-step explanation:

try you best pllss

The length of a living room is 12 feet and its width is 1012feet. The length of the room is being expanded by x feet. Select all the expressions that represent the area of the living room in square feet

Answers

Answer:

A

Step-by-step explanation:

Help ASAP 4 Brainly
The parallelogram shown below has an area of 21 units?.
7
b
8
Find the missing base.
b=
units

Answers

Answer:

The missing base b is 3 units

Step-by-step explanation:

The parallelogram has two different bases, b1 and b2Each base has a height perpendicular to it from the base parallel to ith1 is the height of b1 and h2 is the height of b2The formula of the area of the parallelogram is A = b1 × h1 = b2 × h2

Let us solve the problem

In the given figure

The given figure is a parallelogram

∵ The line of length 7 is perpendicular to the base that parallels to base b

∵ The base b has a height of 7 units

→ By using the formula of the area above

∵ A = b1 × h1

b1 = b and h1 = 7 units

∵ The parallelogram has an area of 21 square units

A = 21

→ Substitute the value of A and h in the rule of the area

21 = b × 7

∴ 21 = 7b

→ Divide both sides by 7

3 = b

The missing base b is 3 units

HALP! WORD PROBLEM 20 points: A store has reduced the price by $20. How large must the next discount be so the new price will be half of the original price? Express your answer as a percent to the nearest tenth.

Answers

Answer:

HALP word is wrong all word is but HALP is wrong.

Kelly typed a 36 word paragraph is 2/3 minute what is his typing speed in words per minute?

Answers

Answer:

His typing speed is 24 wpm. (Words Per Minute).

Step-by-step explanation:

The first thing you would have to do is convert 2/3 into a decimal, so 2/3 converted into a decimal is 0.66666666666667, then you would take that number, and multiply that by 36, the you would get you answer of 24. So, Kelly's typing speed is 24 wpm. (words per minute).

What is 2i-3=2(6-i)+7i as a fraction or decimal or whole number

Answers

Answer:

i = - 5

Step-by-step explanation:

Given

2i - 3 = 2(6 - i) + 7i ← distribute and simplify right side

2i - 3 = 12 - 2i + 7i

2i - 3 = 12 + 5i ( subtract 5i from both sides )

- 3i - 3 = 12 ( add 3 to both sides )

- 3i = 15 ( divide both sides by - 3 )

i = - 5

Anybody know this need help??

Answers

Answer:

42 mi

Step-by-step explanation:

To find the perimeter, just add up all the side lengths.

13 + 14 + 15 = 42

Note this is mi and not mi² since this is not area.

Answer:

i think i know. . if its asking for the perimeter, its talking about around the triangle soooo C

Step-by-step explanation:

I'm sorry if you get it wrong. .

Emily wants to buy a new Gucci purse. She goes into the store and sees that they are running a January Blowout Sale and all purses are 60% off! She finds one that she likes and the tag reads $475.00. How much is Emily going to spend?

Answers

Answer:

Emily is going to spend $285

Step-by-step explanation:

You need to multiply 475.00 by 0.60 to get 285 spent on Emily's new purse.

I need help plsss. its maths

Answers

Answer:

x=7

Step-by-step explanation:

x+3x+2x-1=41 cm

6x-1=41

6x=41+1

6x=42

x=42/6

x=7

Hello help me plsss plssss pretty pleasee!!!

Answers

Answer:6.1638 7.69 8.18.04

Step-by-step explanation:

6. 1638

7. 20

8. 9 4/12 or 9 1/3 (simplified)

Hope this helps!! :D may i have brainliest please?

The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Which expression represents how many trees will be left in 10 years.

Answers

Given:

Present number of trees = 2.5 billions

Rate of decrease = 0.5% per month

To find:

The expression that represents how many trees will be left in 10 years?

Solution:

Exponential decay model:

[tex]P(t)=a(1-r)^t[/tex]         ...(i)

where, a is initial value, r is decreasing rate and t is time period.

We have,

a = 2.5 billions

r = 0.5% = 0.005 per month

t = 10 years = 120 months                         [1 year = 12 months]

Putting a=2.5, r=0.005 and t=120 in (i), we get

[tex]P(120)=2.5(1-0.005)^{120}[/tex]

[tex]P(120)=2.5(0.995)^{120}[/tex]

[tex]P(120)=1.3699657[/tex]

[tex]P(120)\approx 1.37[/tex]

Therefore, the required expression is [tex]2.5(1-0.005)^{120}[/tex] and the remaining trees after 10 years is about 1.37 billions.

Determine if the triangles are congruent. If so, state what postulate proves that they are congruent.
Question 24 options:

The triangles cannot be proven congruent.

SAS

SSS

AAS

ASA

HL

Answers

Answer:

I believe it's SAS, but I am not 100% sure. I say this because you see the angle then in between is a side then another angle

if a 60-page magazine cost $1.20 to print, find the cost per page to print.

Answers

2 cents per page to print

Answer:

the answer is 2 cents per page

help me pleasee i dont know how to do thiss

Answers

Step-by-step explanation:

Since UV bisects TW, TW also bisects UV.

=> Line segments UV and TW bisect each other.

=> 4y - 3 = 2y + 1 and 3x + 8 = 3y + 2

=> 2y = 4 and 3x = 3y - 6

=> y = 2 and x = y - 2

=> y = 2 and x = (2) - 2

=> y = 2 and x = 0.

Answer:

y= 181/7 or 25.86

i really dont know about x

i have no clue what this one is can someone help

Answers

Answer:

the answer is b

Step-by-step explanation:

radius is half the number of diameter

6 people are playing a game 1 person beat the high score from 746 more than 10254
the other 5 failed and had to retry then all 5 got the same score 10999
what was the score the 6th person got

Answers

Answer: Hello hope you had a good day, Answer should be 11,000

Step-by-step explanation:

if the first guy beat it by 746 more that 10254 then add the two together for 11,000

-

it also says the OTHER 5 meaning a diffrent 5 so the 6th got 11,000.

Determine whether the function is linear or nonlinear. y−1/x=11 *

Answers

Answer:

vjhghjsbzkcbjhvdhmvh

Step-by-step explanation:

12a+10 find algebraic expression

Answers

Answer:

dont know

Step-by-step explanation:

it is very confusing

Answer:

2(6a+5)

Step-by-step explanation:

Other Questions
A type of plant that has cells inside that form long tubes and carry nutrients and water is called _____________. Guy is self employed. In one year, Guy generates a gross income of $44,500. When calculating his taxes, Guy is allowed to deduct $2,500 in expenses from his gross income (the result is his 'operating income'). Guy must then pay 10% tax on all operating income up to $20,000 and then 20% on any operating income over $20,000. Calculate the amount of tax that Guy must pay. Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer. salient features of sociology WILL MARK BRAINLIEST !!!! Which equation is an equation of a circle with a radius of 3 and its center is at (5, -2)?(x - 5) + (y + 2) = 3(x - 5) + (y + 2) = 9(x + 5) + (y 2) = 3(x + 5) + (y - 2) = 9 PLEASE HELP ME PLEASEEEEEEEEEEEA triangle is inscribed in a square, as shown. Write a simplified function r in terms of x that represents the area of the shaded region. HELP NEEDED HELP NEEDED! Happy Paws charges $22.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Write an equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours. 1 I am thinking of a 6-digit number. The sum of the digits is 38. The number is under 600 000. What could my number be? Find twelve different possibilities. PLEASE ANSWER ASAP WITH WORK FOR BRAINLEST!!!!!!!!!!!!!!!!1 Son tipos de mariscos: A.arroz y frijolesB. camarn y pescadoC.el azafrn Sports equipment in your school is dilapidated .Write an application to the principal regarding the supply of new equipment.Please write me an application Please I will give him or her brilliant and thank youI am busyPlease Candice is a jewelry shop owner, specializing in beaded necklaces. For each of the following inputs, classify each item as a variable input or a fixed input in the long run.1. upper management salaries 2. hourly labor 3. shipping 4. two-year lease on office and retail space 5. chairs 6. computers 7. beads Use the word denotation in a sentence Find -0.5D D=[18. 16] [-14 -6] Options are: A. [9 8] [-14 -6] B. [9 8] [7 3] C. [9. 8] [-7 -3] D. [-9 -8] [7 3] Miranda cuts grass ( g ) for $ 20 and hour and trims hedges ( h ) for $ 25 an hour. She is trying to make enough money during the summer to buy a car for $ 4200 . Which inequality represents the number of hours Miranda needs to cut grass and trim hedges? Which of the following is a proportion? 9/12 = 8/10 3/4 = 9/12 6/8 = 8/12 12/18 = 19/16 solve h+9.7=-9.7 and show me the steps Explain how greenhouses modify the environment to improve growingconditions for plants? At the science fair, Adriana uses 8 fluid ounces of vinegar to make her volcano erupt. How many times can she make her volcano erupt with 1 quart of vinegar? please help: spanish 1 giving brainliestsfill in the correct form for each verb in present tense. 1: yo ____ con mis amigos. (almorzar)i eat lunch with friends. 2: ella ____ nadar cuando hace calor. (querer)she wants to swim when the weathers hot. 3: las plantas _____ cuando no hace sol. (morir)the plants die when its sunny4: yo siempre ____ al futbol americano con mis amigos. (jugar)i always play football with my friends. 5: marta y yo ____ a los deportes (jugar) marta and i play sports. 6:?por que ____ tu las respuestas? (repetir)why do u repeat the questions ?7: a veces, mi mejor amiga _____ sus lentes. (perder)sometimes, my best friend loses her glasses 8: eva y adan ____ espanol pero no lo hablan bien. (entender)eva and adan understand spanish but they dont speak well. 9: yo____ con amigos los viernes (salir) irregular yoi go out with my friends on fridays10: nosotros nunca _____ a nuestros padres. (mentir) we never lie to our parents. 11: de vez en cuando yo _____ palabras malas. (decir)once in a while i say bad words. 12: _____vosotros pizza con pepperoni aqui. (servir)do yall (spain) serve pepperoni pizza here?13: yo quiero ______ pero no puedo. (dormir)i want to sleep but i cant. 14: ?cuanto_____ los trajes de bano. (costar)how much do the baithing suits cost?15: de donde ____ tu? (ser)where are u from. 16: nosotros ______ al parque. (ir)we go to the park17: hola! como _____ ud?hello how are u