Answer:
[tex]-7\geq x<12[/tex] and [tex][-7,12)[/tex] in interval notation.
Step-by-step explanation:
We have been given a compound inequality [tex]-7x-50\leq -1\text{ and }-6x+70>-2[/tex]. We are supposed to find the solution of our given inequality.
First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.
[tex]-7x-50\leq -1[/tex]
[tex]-7x-50+50\leq -1+50[/tex]
[tex]-7x\leq 49[/tex]
Dividing by negative number, flip the inequality sign:
[tex]\frac{-7x}{-7}\geq \frac{49}{-7}[/tex]
[tex]x\geq -7[/tex]
[tex]-6x+70>-2[/tex]
[tex]-6x+70-70>-2-70[/tex]
[tex]-6x>-72[/tex]
Dividing by negative number, flip the inequality sign:
[tex]\frac{-6x}{-6}<\frac{-72}{-6}[/tex]
[tex]x<12[/tex]
Upon merging both intervals, we will get:
[tex]-7\geq x<12[/tex]
Therefore, the solution for our given inequality would be [tex]-7\geq x<12[/tex] and [tex][-7,12)[/tex] in interval notation.
completa cada enunciado y escribe la proporción correspondiente. si por cada 21.000 se compran tres agendas ¿ con cuanto se compran nueve?
A country has a Gross Domestic Product (GDP) of $225. If the GDP deflator is 3, what would be the real GDP of the country? The real GDP of the country is
A. $225
B. $150
C. $200
Find the product and simplify your answer. -4k^2(-3k^3+5k-5)
How many different types of cross sections of a cone are possible? A.3
B.5
C.6
D.10
-4.31 x 3.09 + (-0.98)
While catching fireflies, you and a friend decide to have a competition. after mm minutes, you have (3m+13)(3m+13) fireflies and your friend has (4m+6)(4m+6) fireflies.
a. write an expression in simplest form that represents the number of fireflies you and your friend caught together?
The united states has 12,383 miles of coastline. If 0.8% of the coastline is located in Georgia, about how many miles of coastline are in Georgia
Answer:
99.064 miles of coastline are in Georgia.
Step-by-step explanation:
Consider the provided information.
The united states has 12,383 miles of coastline and 0.8% of the coastline is located in Georgia.
Now we need to find about how many miles of coastline are in Georgia.
Thus solve this as shown:
0.8% of 12,383
[tex]\frac{0.8}{100} \times 12,383[/tex]
[tex]0.008 \times 12,383[/tex]
[tex]99.064[/tex]
Hence, 99.064 miles of coastline are in Georgia.
Can someone please help me and like show and explain how to get the answer?
Layla is on page 30 of her book and reads 3 pages every night. Sidney is on page 40 of the same book and reads 2 pages every night. How long will it take for Layla to be further in the book than Layla?
A) 3 nights
B) 11 nights
C) 15 nights
D) 71 nights
What is 42/100 simplified?
If 2x-5=10, then 2x=
A couch and coffee table cost a total of $1053. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.
Write the standard form of the line that contains a slope of -1/2 and y intercept of 1
Hat is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)?
Which of these equations describe the line shown below check all that apply . plz don't give me the formula and tell me do it that way I'm not good at math I'll give 5 stars if you just give me the answer thanks
the product of three consecutive nonzero integers
Final answer:
To find the product of three consecutive nonzero integers, multiply the first number by the next two numbers in the sequence.
Explanation:
If the first integer is n, the next will be n+1 and the next to it will be n+2
The product of three consecutive nonzero integers can be calculated using the formula:
n * (n+1) * (n+2)= n(n^2 + 3n+ 2)=n^3 +3n^2 + 2n
where 'n' represents the first integer. For example, if we take 'n' as 2, the three consecutive nonzero integers would be 2, 3, and 4. So, the product would be 2 * 3 * 4 = 24= (2)^3+ 3*(2)^2+ 2*2
In the equation y = 2x -3 if x = 3, what is the ordered pair of the solution?
what is 50/12 in a mixed number
classify each pair of labeled angles as complementary, supplementary, or neither.
Answer: supplementary, complementary, neither.
Step-by-step explanation:
A sample is a sample that isn't representative of the entire population.
unbiased
systematic
biased
Answer: The answer is biased :)
40% of the men and 30% of the women also belong to a cycling club.
Work out the percentage of the whole membership that belong to a cycling club.
5x-4(2x+11)=13
solve for x
show all work please
What's the answer to
4.5 divided by 1.8
A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. Use exponential growth formula
Two of the angles in a parallelogram measure 5x° and 7x°. what is the value of x?
The value of x is 15.
What is parallelogram?"It is a quadrilateral with opposite sides parallel.""The opposite angles of parallelogram are equal. "For given question,
Two of the angles in a parallelogram measure 5x° and 7x°
The measure of an angle opposite to 5x° is also 5x°
Similarly the measure of an angle opposite to 7x° is also 7x°
So, we have the four angles of parallelogram as 5x°, 7x°, 5x°, 7x°
We know, the sum of all angles of quadrilateral is 360°
⇒ 5x° + 7x° + 5x° + 7x° = 360°
⇒ (5 + 7 + 5 + 7) x = 360
⇒ 24x = 360
⇒ x = 15
Therefore, the value of x is 15.
Learn more about parallelogram here:
https://brainly.com/question/1563728
#SPJ3
Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on monday and 65 on wednesday . Write and solve an inequality to find out how many blankets the team has to collect on friday?
Answer:
Atleast 53
Step-by-step explanation:
We are given that your basketball team has a goal to collect atleast 160 blanket for a shelter.
Team member bought blankets on Monday =42
Team member bought blankets on Wednesday=65
We have to write an inequality and find the number of blankets has to collect on Friday.
Let x be the number of blankets bought by team members on Friday
According to question
[tex]42+65+x \geq 160[/tex]
[tex]107+x \geq 160[/tex]
Subtract 107 on both sides
[tex]107-107+x\geq 160-107[/tex]
[tex]x\geq 53[/tex]
Hence, team members bought atleast 53 blankets on Friday .
solve the equation 17=-13-8x with steps
The solution for given equation 17=-13-8x is x = -15/4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given equation is,
17 = -13 - 8x
Now to solve the equation following steps are followed :
adding 13 both the sides of the equation,
17 + 13 = -13 - 8x + 13
or, 17 + 13 = -13 + 13 - 8x
Solving them we get,
30 = - 8x
or, - 8x = 30
multiplying -1 both side
- 8x*(-1) = 30*(-1)
Solving them we get,
8x = -30
dividing both side by 2
8x/2 = -30/2
Solving them we get,
4x = -15
dividing both side by 4
4x/4 = -15/4
Solving them we get
x = -15/4
Hence,the solution for given equation 17=-13-8x is x = -15/4.
To learn more about equation :
https://brainly.com/question/22647731
#SPJ2
What is the sine of angle a?
a. 12/13
b. 5/13
c. 5/12
d. 13/12
Solve fro the Equation below:
7+2(x-3)=-3(x+1)-4
Two cars leave new york at the same time traveling in opposite directions. one travels at an average speed of 77 mph and the other at 63 mph. in how many hours will they be 280 miles apart?
The number of hours will they be 280 miles apart will be 2 hours.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Two vehicles leave new york simultaneously going in inverse headings. one goes at a typical speed of 77 mph and the other at 63 mph.
The relative speed is given as,
S = 77 + 63
S = 140 miles per hour
The number of hours will they be 280 miles apart will be calculated as,
Time = 280 / 140
Time = 2 hours
The number of hours will they be 280 miles apart will be 2 hours.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Write each rational number as a repeating decimal.
1. -7/9
2. 11/15
3. 8/3
Final answer:
To write a rational number as a repeating decimal, perform long division. -7/9 as a repeating decimal is -0.7777..., 11/15 is 0.7333..., and 8/3 is 2.6666...
Explanation:
To write a rational number as a repeating decimal, you need to perform a long division. Let's go through each of the given rational numbers:
1. -7/9
When you divide -7 by 9, you get -0.7777… with the 7s repeating. So, -7/9 as a repeating decimal is -0.7777…
2. 11/15
When you divide 11 by 15, you get 0.7333… with the 3s repeating. So, 11/15 as a repeating decimal is 0.7333…
3. 8/3
When you divide 8 by 3, you get 2.6666… with the 6s repeating. So, 8/3 as a repeating decimal is 2.6666…