Answers
Answer:
[tex]-\frac{21}{2} < x < -5[/tex]
Solve the inequality
[tex]-3 < 2x+18 < 8[/tex]
Separate compound inequalities into system of inequalities
[tex]\left \{ {{2x+18 > -3} \atop {2x+18 < 8}} \right.\\ 2x+18 > -3\ and[/tex] [tex]2x-18 < 8[/tex]
Rearrange variables to the left side of the equation
[tex]2x > -3-18[/tex] [tex]2x < 8-18[/tex]
Calculate the sum or difference
[tex]2x > -21[/tex] [tex]2x < -10[/tex]
Divide both sides of the inequality by the coefficient of variable
[tex]x > -\frac{21}{2}[/tex] [tex]x < -\frac{10}{2}[/tex]
Cross out the common factor
[tex]x < -5[/tex]
[tex]x > -\frac{21}{2}\ and\ x < -5[/tex]
Find the intersection
[tex]-\frac{21}{2} < x < -5[/tex]
I hope this helps you
:)
Related Questions
Can someone help me?
The areas of the two rectangles below are equal. There are two possible areas. One is 105 u2
What is the other one?
Answers
Answer:
144 u²
Step-by-step explanation:
⇒ Areas are equal
(6x + 15)(2x + 7) = (4x + 7)(2x + 15)12x² + 42x + 30x + 105 = 8x² + 60x + 14x + 1054x² = 2xx = 1/2Calculating the areas
(6 x 1/2 + 15)(2 x 1/2 + 7) = 18 x 8 = 144(4 x 1/2 + 7)(2 x 1/2 + 15) = 9 x 16 = 144The other one is 144 u²
A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph.
Answers
Answer:
160 miles away
Step-by-step explanation:
I am BIG brain
Answer:
160
Step-by-step explantion
The train leaves at 10:20 AM and arrives at 1:00 PM.
It takes 2 hours and 40 for the train to arrive at Stamford.
1 hour = 60 miles
SO
60+60+60*2/3=160
what is 10÷ 6.8 and when you get the answer what is the answer when you round the answer to the nearest tenth
Answers
Answer:
Step-by-step explanation:
10/6.8 = 1.47
To the nearest tenth it would be 1.5
help please
Write the next three terms of the arithmetic sequence.
0.2, 0.6, 1, 0.4, __, __,__
Write the next three terms of the arithmetic sequence.
4, 3 3/4, 3 1/2, 3 1/4 ,__, __, __
Answers
Use the formula for an arithmetic sequence: [tex]a_{n}=a+(n-1)d[/tex]
[tex]a_{n}[/tex] = nth term
a = the first term in the sequence
n = term you are looking for
d = common difference between the terms
Answers
1. I'm assuming you meant to type 0.2, 0.6, 1, 1.4...
In that case, it is increasing by 0.4, so the next three would be:
0.2 + (4-1)(0.4) = 1.8...
=> 1.8, 2.2, 2.6.
2. Here it's reducing by 0.25, so start with:
4 + (5-1)(-0.25) = 3...
=> 3, 2.75, 2.5
In a certain town there were 247 robberies last year. This year the number of robberies has gone down 30%. How many robberies were there this year, to the nearest whole number?
Answers
Answer:
173
Step-by-step explanation:
10%x247=24.7
24.7x3=74.1
247-74=173
what’s -4/5 divided by 2
Answers
Answer: The answer is -2/5
Hope this helps :)
[tex]\frac{4}{10}[/tex]Answer:
-2/5
Step-by-step explanation:
-[tex]\frac{2}{5}[/tex] ÷[tex]\frac{2}{1}[/tex]= -[tex]\frac{2}{5}[/tex]×[tex]\frac{1}{2}[/tex]=-4/10=-2/5
When dividing fractions you follow a rule called Keep change flip or KCF. You keep the first fraction in this case -2/5 then u change the symbol so from ÷ to × and then u flip the fraction. You then solve like you would a multiplication fraction.
Which of the following most closely rounds to the number 1
Answers
Answer:
1.1???????
Step-by-step explanation:
Answer:Its most likely to be D
Step-by-step explanation:
GEOMETRY- help me out ASAP!!
Answers
Answer:
A=130
B=15
C=35
Stear Corp. has an opening inventory of $2,500. During the year, it made purchases worth $55,000. at the end of the accounting period, the inventory was worth $1,250. what was the cost of goods sold? A.) $57,500 B.) $56,250 c.) $53,750 D.) $55,000
Answers
Answer:
B
Step-by-step explanation:
how to to evaluate multi-step expressions involving positive fractions?
Answers
Answer:
You add or subtract the whole number by the fraction, and the whole number becomes a positive mixed number.
ASAP!!! GOD BLESS!! MUCH lOVE
Answers
Answer:
6 meters
Step-by-step explanation:
24 ÷ 4 = 6 metersI hope this helps!
Help ASAP. This is my 6th time making this question with nobody helping.
Answers
Answer:
m = 2.4 and b = 14.8
Step-by-step explanation:
In slope-intercept form, all equations follow the formula y = mx + b, in which equations are parallel as long as they have the same slope, represented by the variable m. All that the b variable does is change the y-intercept. Knowing this, in order to find a parallel equation to y = 2.4x + 5.2 that intercepts the point (-2, 10), the only variable that can change is the b variable. The first step is to plus -2 into the x variable. This will grant you y = 2.4(-2) or y = -4.8, which will then allow you to find what the b variable should be by subtracting -4.8 from 10. This will grant you b = 14.8, and since you know the slope must stay the same, the final answers are m = 2.4 and b = 14.8.
A rectangle has a side length of 3 feet and an area of 24 square feet. A larger similar rectangle has a corresponding side length of 9 feet. Determine the area of the larger rectangle.
Answers
Answer: The answer would be 214
Help me please!!!!!!
Answers
Answer:
72
Step-by-step explanation:
Just add up 45.3+26.7
45.3 + 26.7 = 72
Answer:
y= 72°
Step-by-step explanation:
If you add the two degrees you get 72.
45.3+26.7=y
45+26=71
.3+.7=1
71+1=72
Hope this helped.
A brainliest is always appreciated.
If (x−4)2=7, what values of x make the quadratic equation true?
Answers
Answer:
Step-by-step explanation:
Take the square root of both sides.
sqrt(x - 4)^2) = +/- sqrt(7)
x - 4 = +/- sqrt(7) Add 4 to both sides
x = 4 +/- sqrt(7)
Answer: C
What is the solution for 3x + 2y = -1 and -2x + 5y= 26
Answers
Answer:
x=-3 y=4
Step-by-step explanation:
SOMEONE ANSWER ASAP!!!!!
Answers
Answer:
asap
asap
asap
asap
asap
Answer:
-1/1x+2
Step-by-step explanation:
What type of triangle has only two congruent sides?.
Answers
Answer the following questions Question one Are the following rational, irrational or neither? Please HELP ASAP
Answers
Answer:
1.1) Rational
1.2) Rational
1.3) Irrational
1.4) Rational
1.5) Rational
1.6) Irrational
Step-by-step explanation:
Rational means it can be represented as a fraction where the numerator and denominator are whole numbers and vice versa for irrationals.
Answer:
-4 is not
√9 is a rational number.
Pi is an irrational number.
13)
Ryan works two jobs. He earns $10 per hour working at the hardware store, and he earns $13 per hour working at the shipping
company. If x represents hours at the hardware store and y represents hours at the shipping company, which inequality represents
the situation if Ryan wants to earn a minimum of $300?
A)
10x + 13y s 300
B)
10x + 13y = 300
13x + 10y s 300
D)
13x + 10y = 300
Answers
Given :
Ryan works two jobs. He earns $10 per hour working at the hardware store, and he earns $13 per hour working at the shipping.
To Find :
If x represents hours at the hardware store and y represents hours at the shipping company, which inequality represents the situation if Ryan wants to earn a minimum of $300.
Solution :
His total earning is given by :
T = 10( number of hours at hardware store ) + 13( number of hours at the shipping)
T = 10x + 13y
Now, he wants to earn a minimum of $300 i.e T ≥ $300.
So, 10x + 13y ≥ 300
Hence, this is the required solution.
Helpppppp I’ll mark brainliest
Answers
B. X increases by 1 and Y increases by 2
C. 2
D. they are increasing by the same amount and so is the y. the relationship is proportional.
E. y=2x+9
hi could somebody help me without guessing please...
Answers
Answer:
120.
Step-by-step explanation:
hope this helps
THE QUESTION IS #3 PLEASE HELP ILL GIVE AS MANY POINTS AS I HAVE THIS IS DUE TONIGHT
Answers
Answer:
4/3
Step-by-step explanation:
Ride up 4 and run to the left 3
Answer:
4/3
12/6
Step-by-step explanation:
y2 - y1
x2 - x1
Review the steps of the proof of the identity Sine (A minus StartFraction 3 pi Over 2 EndFraction) = cosine A.
Sine (A minus StartFraction 3 pi Over 2 EndFraction)
Step 1: = Sine A cosine (StartFraction 3 pi Over 2 EndFraction) minus cosine A sine (StartFraction 3 pi Over 2 EndFraction)
Step 2: = (Sine A) (0) + cosine A (negative 1)
Step 3: = (Sine A) (0) + (1) (cosine A)
Step 4: = 0 + cosine A
Step 5: Cosine A
At which step was an error made?
step 1
step 2
step 3
step 4
Answers
Answer: Step 2 on EDGE2020
Answer:
step 2
Step-by-step explanation:
HELP AND SHOW UR WOrk Which of the expressions below has a product that is greater than 75? Select all that apply. A) 8.92 × 8 B) 9.55 × 8 C) 12.8 × 6 D) 12.1 × 6)
which answers is correct
A B C D
Answers
Answer:
B and C
Step-by-step explanation:
Find all the products.
A) 8.92 × 8 = 71.36
B) 9.55 × 8 = 76.4
C) 12.8 × 6 = 76.8
D) 12.1 × 6 = 72.6
Answers:
9.55x8= 76.4
12.8x6=76.8
Wrong:
8.92x8
12.1x6
Hope this helped you.
Students in health class are tracking how much water they consume each day. Evelyn has two reusable water bottles: a small one and a large one. Yesterday she drank 1 small bottle and 3 large bottles, for a total of 1,754 grams. The day before, she drank 3 small bottles and 4 large bottles for a total of 2, 932 grams. How much does each bottle hold? Solve using elimination method.
Answers
Answer:
424 grams for the small one and 510 grams for the big one.
Step-by-step explanation:
Nice profile picture.
HLPE QUICK PLEASE!! WILL GIVE BRAINLIEST!
Answers
Answer:
A.
Step-by-step explanation:
499.0 seconds which rounds to 500 seconds.
Answer:
C
Explanation not provided
A car of the same type and make it 3 1/2 years old.
C. Estimate the value of the car
Answers
PLEASE HELP YOU WILL GET BRAINLIEST :)
Mateo completed the following steps to solve the equation -2 + z = 10.
-2 + z = 10
-2 + z − 2 = 10 − 2
z = 8
Explain why Mateo's solution is incorrect. Then show how to correctly solve the equation.
Answers
if z = 8
then
-2 + (-8) = - 10
not 10
-2 + z = 10
-2 + 2 + z = 10 + 2
z = 12
check
-2 + (+12) = +10
An office supply store purchased a case of binders for $600. The profit (P) to be made on the binders is defined by the function
P(b) - 8.50b - 600, where b is the number of binders sold.
Part A What is the range of the function if the domain is {10, 45, 72, 100)?
Part B What do the domain and range represent in this situation?
Part C What is the minimum number of binders that the store needs to sell in order to make a profit (P >0)? Show or explain your work.
Part D What is the minimum profit the store can make on the sale of these binders? Show or explain your work.
Answers
Answer:
Part A
Domain = input values
Range = output values
Therefore, if the domain is {10, 45, 72, 100} then input those values into the function:
P(10) = 8.50(10) - 600 = -515
P(45) = 8.50(45) - 600 = -217.5
P(72) = 8.50(72) - 600 = 12
P(100) = 8.50(100) - 600 = 250
So the range is {-515, -217.5, 12, 250}
Part B
The domain is the number of binders sold
The range is the profit in dollars
Part C
Set the function to >0:
⇒ P(b) > 0
⇒ 8.50b - 600 > 0
add 600 to both sides:
⇒ 8.50b > 600
divide both sides by 8.50:
⇒ b > 70.58823529...
Therefore, the minimum number of binders the store needs to sell in order to make a profit is 71.
Part D
If the store sells a minimum of 71 binders, then substitute b = 71 into the function and solve to find the minimum profit:
⇒ P(71) = 8.50(71) - 600
⇒ P(71) = 603.5 - 600
⇒ P(71) = 3.5
Therefore, the store will make a minimum of $3.50 profit if it sells at least 71 binders.
However, if the store sells less than 71 binders, it will make a loss.