Answers
2x - 6 < -12 and 3x + 5 > -13
Add 6 to both sides Subtract 5 from both sides
2x < -6 and 3x > -18
Divide both sides by 2 Divide both sides by 3
x < -3 and x > - 6
You can write the solution as
x > - 6 and x < -3
To graph, draw a number line.
Place an open dot on -6.
Place an open dot on -3.
Draw a wide, dark line from one dot to the other dot.
Related Questions
Jacobs toy box is 4 1/3 ft x 3ft x 5ft.what is the volume of his toy box
Answers
4 1/3------> (4*3+1)/3------> 13/3 ft
[volume of a rectangular prism]=length*width*height
[volume of a rectangular prism]=(13/5)*3*5------> 39 ft³
the answer is
the volume of the toy box is 39 ft³
Answer:
The volume of a toy box is 65 ft³ .
Step-by-step explanation:
Formula
Volume of a box = Length × Breadth × Height
As given the expression in the question
Jacobs toy box is [tex]4 \frac{1}{3}[/tex] ft x 3ft x 5ft.
i.e
Jacobs toy box is [tex]\frac{13}{3}[/tex] ft x 3ft x 5ft.
Put all the values in the formula
[tex]Volume\ of\ a\ toy\ box = \frac{13}{3}\times 3\times 5[/tex]
= 13 × 5
= 65 ft³
Therefore the volume of a toy box is 65 ft³ .
Find the vertex of the given function.
f(x) = l x-5 l + 10
The vertex is at (___, ___)
Answers
x - 5 = 0
x = 5
well, if we set x = 5, x - 5, turns to 0, and that happens when x = 5, therefore, the vertex is
| x - 5 | + 10
| (5) - 5 | (+ 10) is at ( 5 , 10 )
The vertex of an absolute function is the highest or lowest point of the function. The vertex of the given equation is: (5,10)
Given that:
[tex]f(x) = |x - 5|+ 10[/tex]
If an absolute function is represented as:
[tex]f(x) = a|x - h|+ k[/tex]
The vertex of the function is:
[tex]Vertex = (h,k)[/tex]
By comparing [tex]f(x) = a|x - h|+ k[/tex] and [tex]f(x) = |x - 5|+ 10[/tex]
[tex]h = 5[/tex]
[tex]k =10[/tex]
So, the vertex is:
[tex]Vertex = (5,10)[/tex]
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Mauricio wants to fry 18 potatoes per hour for 3.5, point. He can fry 6 potatoes using each gallon of oil. How many gallons of oil does Mauricio need for frying potatoes? Choose 1 answer: A: 378 B:21 C:189 D:10.5
Answers
Answer:
The answer is option D.
Step-by-step explanation:
Mauricio wants to fry 18 potatoes per hour for 3.5 hours.
So, total becomes = [tex]18\times3.5=63[/tex]
As he can fry 6 potatoes using each gallon of oil.
So, for 63 potatoes, he will need = [tex]\frac{63}{6}=10.5[/tex] gallons.
Therefore, the correct answer is option D.
The sum of 5 consecutive even numbers is 200 what is the fifth term in the sequence
Answers
if to write the given sequence as n;n+2;n+4;n+6;n+8, then it is possible to write its sum:
n+n+2+n+4+n+6+n+8=200.
5n=180; n=36.
n=36 it means that the 1st number is 36. The 5th number is n+8=36+8=44.
all the even numbers are: 36;38;40;42;44.
answer: 44.
what is a rational number between 9.6 and 9.7
Answers
A rational number between 9.6 and 9.7 is 93/20.
The given decimal numbers are 9.6 and 9.7.
What are the rational numbers?Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
Now, (9.6+9.7)/2
= 19.3/2
= 9.65
So, the rational number is 965/100 = 93/20
Therefore, a rational number between 9.6 and 9.7 is 93/20.
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Will Give 100 points and brainliest!
An image of a rectangular pyramid is shown below: A right rectangular pyramid is shown. Part A: A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer. (5 points) Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section? Explain your answer. (5 points)
Answers
Part B: Rectangle cross-section
The Part A cross section will be rectangle and Part B cross section will be triangle .
What is rectangular pyramid ?A rectangular pyramid is a 3-D object with a base shaped like a rectangle and triangle-shaped faces or sides that correspond to each side of the base. Like the other types of pyramids, a rectangular pyramid also has a point on top of the base of the pyramid that is joined together by bringing the top of all the sides which is known as the apx. A rectangular pyramid has a total of 5 faces, 5 vertices, and 8 edges and is of two types a right pyramid or an oblique pyramid.
According to the question
Part A: A cross section of the rectangular pyramid is cut with a plane parallel to the base.
When we cut a cross section parallel to base of the rectangular pyramid which have rectangular base
The cross section will always be a rectangle.
Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex .
When we cut a cross section perpendicular to the base, passing through the top vertex of the rectangular pyramid
The cross section will always be a Triangle.
As the lateral face of a rectangular pyramid is a triangle, so a cross section that passes through the top vertex and the base is also a triangle.
Hence , The Part A cross section will be rectangle and Part B cross section will be triangle .
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Compare how you would model and record finding the sum difference of two rocks weighing 2/8 pound and 3/8 pound.
Answers
3/8-2/8=1/8
hope this helped
Final answer:
To find the sum or difference of two rocks weighing 2/8 pound and 3/8 pound, add or subtract their numerators while keeping the denominator the same. The sum is 5/8 pound, and if finding a difference with the second rock being lighter, it's 1/8 pound.
Explanation:
To model the sum of two rocks weighing 2/8 pound and 3/8 pound, we work with fractions with the same denominator. To find the sum, simply add the numerators together and keep the same denominator. Thus, 2/8 + 3/8 equals 5/8. To record the sum difference, you list both weights then show their combined weight, which is the sum.
The process is like this:
Write down the weights of the two rocks: 2/8 pound and 3/8 pound.Add the numerators (2 + 3 = 5) while keeping the denominator the same (8).The sum is therefore 5/8 pound.If we were to find the difference, you would subtract the smaller numerator from the larger numerator:
Assuming we're taking the second rock's weight from the first: 3/8 - 2/8.Subtract the numerators (3 - 2 = 1) while keeping the denominator the same (8).The difference is therefore 1/8 pound.what's a Fibonacci sequence?
Answers
A Fibonacci Sequence is a series of number . It is the sum of two preceding numbers.
Hope this helps <33
simplest sequence is 1,1,2,3,5,8 and so on
Chelsea dog-sits for her neighbors as a part-time job. She charges $12 a day plus an additional $2.50 for each walk she takes with the dogs. Determine which graph and which equation represent the amount of money Chelsea earns in one day, A, after taking w walks with the dogs.
Answers
A = 2.5w + $12
To graph this you would substitute in varying numbers for w(the number of weeks) and this would be your x value in your ordered pair.
After you substitute in a number of weeks, you will get a total amount of money earned (A). This would be your y value in your ordered pair.
Here are some orders pairs you could plot to create the graph of this equation.
(1, 14.5)
(2, 17)
(3, 19.5)
(4, 22)
The equation is:
A= 2.5W + 12
The graph is
open the attachment I added AND THATS THE THE GRAPH ANSWER.
I HOPE I HELPED YOU. :)Complete the comparison: 26 < ? A. 25 B. 54 C. 13 D. 26
Answers
meaning 26 is less than 54 which is true
PLEASE HELP EXPLAIN THIS!?!
(picture below)
I have part A however idk how to work out part B how would i write the equation out???
Answers
We find the slope by choosing two points that are on the line:
(9, 18) is easy to spot; and (2, 7) is fairly easy to spot as well. The formula for slope is:
m=y₂-y₁/x₂-x₁
m=7-18/2-9 = -11/-7 = 11/7
Slope intercept form, y=mx+b, has the slope and the y-intercept. Plugging those in we have y=11/7x+3.
y-yo = m (x-xo)
We look for the slope:
m = (y2-y1) / (x2-x1)
m = (18-15) / (9-7)
m = (3) / (2)
m = 3/2
We write the equation choosing any point:
y-15 = (3/2) (x-7)
we rewrite the equation:
y-15 = (3/2) x-10.5
y = (3/2) x-10.5 + 15
y = (3/2) x + 4.5
Then, for x = 13 we have:
y = (3/2) * (13) +4.5
y = 24
Answer:
The equation is:
y = (3/2) x + 4.5
The number of matches won for 13 months is:
y = 24
John bought 15 cookies and ate 3 of them. He ate ____% of the cookies.
Answers
The perimeter of parallelogram ABCD is equal to 10 cm. Find the length of diagonal BD if you know that the perimeter of △ABD is 8 cm.
Answers
Let
P1-------------> Perimeter of parallelogram ABCD
P2-------------> Perimeter of △ABD
we know that
P1=10 cm
P1=2*(AD)+2*(AB)=10------------> AB+AD=5-----------> equation 1
and
P2=AD+AB+DB
P2=8 cm------------>AD+AB+DB=8-------- AB+AD=8-DB-----> equation 2
I substitute 1 in 2
(5)=8-DB----------> DB=8-5-----------> DB=3 cm
the answer is DB=3 cm
The length of the diagonal BD is 3 centimeters.
Procedure - Length determination in a parallelogram sideA parallelogram is a quadrilateral where each pair of parallel sides have the same length and can be form by two congruent triangles which share the same side (diagonal).
Expressions for the parallelogramPerimeter equations for the parallelogram are the following:
[tex]AB + BD + AD = 8\,cm[/tex] (1)
[tex]2\cdot AB + 2\cdot AD = 10\,cm[/tex] (2)
Where:
[tex]AB[/tex], [tex]AD[/tex] - Side lengths of the parallelogram, in centimeters. [tex]BD[/tex] - Diagonal length of the parallelogram, in centimeters.Resolution of the systemBy (2) we have the following conclusion:
[tex]AB + AD = 5\,cm[/tex]
And we find the length of the diagonal BD by (1):
[tex]5\,cm + BD = 8\,cm[/tex]
[tex]BD = 3\,cm[/tex]
The length of the diagonal BD is 3 centimeters. [tex]\blacksquare[/tex]
To learn more on parallelograms, we kindly invite to check this verified question: https://brainly.com/question/1563728
If a train is moving 72 km/h on a road of 360 km, how much time will it take to arrive?
Answers
72 kilometers is 72,000 meters, and an hour is 60 minutes of 60 seconds each, meaning an hour is 3600 seconds (60m*60s). This means that in 3600 seconds the car travels 72,000 meters. You can figure out how many meters are travelled per second by dividing 72,000 meters by 3,600 seconds, giving you 20 meters per second. This would give you an answer of 80 meters in 4 seconds, not 120 m. I don't know how to account for that disparity, but 80 meters would be the correct answer. If there is any other information in the problem it is probably important."
Two cards are drawn without replacements from a standard deck of 52 playing cards what is the probability of choosing a king for the second card drawn if the first card drawn was a queen
Answers
Answer:
Step-by-step explanation:
4
663
Explanation:
Probability of drawing a King is
4
52
Probability of drawing a queen
4
51
as the King was not put back.
So the probability of drawing one then the second would be
4
52
×
4
51
=
4
663
Is the price of 2/5 + 5 greater than or less than 2/5 is it greater than or less than 5 explain your reasoning
Answers
Dam is rowing a boat away from a dock the graph shows the relationship between the time and sams distance from the dock. Evaluate the function for an input of 9
Answers
A and C would not be correct because you are finding the distance for 9 minutes. D is not correct because the y-axis does not even have 3 meters on it, neither does the graph hit y=3.
Answer:
B. After 9 minutes Sam is 80 meters away from the dock.
Step-by-step explanation:
We have been given a graph of function that shows the relationship between the time and Sam's distance from the dock.
Let us see our given options one by one to find the correct choice.
A. After 80 minutes Sam is 9 meters away from the dock.
Upon looking at our graph we can see that y-axis is representing distance in meters and x-axis is representing time in minutes. Range of x is from 0 to 11 So our input cannot be greater than 11.
Therefore, option A is not a correct choice.
B. After 9 minutes Sam is 80 meters away from the dock.
We can clearly see from our given graph that at 9 minutes distance is 80 meters, which means that after 9 minutes Sam is 80 meters away from the dock. Therefore, option B is the correct choice.
C. After 80 minutes Sam is 80 meters away from the dock.
We can see from our graph that range of x is from 0 to 11 minutes, So our input can not be greater than 11. Therefore, option C is not a correct choice.
D. After 9 minutes Sam is 3 meters away from the dock.
We can see from our graph that initial value of our function is 20, which means that at time equals 0 minutes Sam was 20 meters away from dock and this distance is increasing with the time. Therefore, option D is not a correct choice.
what is the answer to the system of equations 2x+y=29 and y=1x+2.
explain why, if answer is a random answer you will be reported and lose points.
this is for free and easy points
Answers
The other equation is 2x+y = 29.
2x+y = 29
2x+x+2 = 29
3x = 27
x = 9
y = x+2 = 9+2 = 11
2x+y = 29
2x+x+2 = 29
3x = 27
x = 9
Hope this helps...
Convert the equation 3x + 2y = 14 to slope intercept form
Answers
y=-3/2x+7
I have added a photo of how you show your work.
Answer:
Step-by-step explanation:
y=-3/2x+7
the school gets $5 for each T-shirt they sell at a fundraiser. They have a goal of raising $150. If $45 has been raised so far, how many more T-shirts do they have to sell
Answers
HELLLPP PLLZZZ III BEEEGGG UUUU
For what value of x:
is the square of the binomial x+1 twenty greater than the square of the binomial x–3?
Answers
https://brainly.com/question/9124477
Classify the following triangle. check all that apply?
Answers
we know that
the triangle of the figure is
Equilateral------> because has three equal sides and three equal angles
Acute -------> because all three angles are less than [tex]90[/tex] degrees
The measure of each angle in a equilateral triangle is [tex]60[/tex] degrees
therefore
the answer is
A equilateral
D Acute
Answer:
Step-by-step explanation:
Adf
I wonder if I did #9 right and I’m having trouble with #10
Answers
QUESTION: Add. Write your answer as a mixed number in simplest form.
[tex]6 \frac{7}{9} + 9 \frac{8}{9} [/tex]
1. Rewriting our equation with parts separated
[tex]=6+ \frac{7}{9} +9+ \frac{8}{9} [/tex]
2. Solving the whole number parts
[tex]6+9=15[/tex]
3. Solving the fraction parts
[tex] \frac{7}{9} + \frac{8}{9} = \frac{15}{9} [/tex]
4. Reducing the fraction part, 15/9,
[tex] \frac{15}{9} = \frac{5}{3} [/tex]
5. Simplifying the fraction part, 5/3,
[tex] \frac{5}{3} = 1\frac{2}{3} [/tex]
6. Combining the whole and fraction parts
[tex]15+1+ \frac{2}{3} =16 \frac{2}{3} [/tex]
ANSWER: [tex] 16\frac{2}{3} [/tex]
Hope that helps!
It's correct. The only problem is entering it. Is a fraction OK or do you need to break it down to 16.6666
10
I don't wonder that you are having trouble with this.
Do it in parts.
numerator
3/4 - 3/2 = 3/4 - 6/4 = - 3/4 Notice what happened. You multiplied top and bottom of 3/2 by 2
= 3*2 = 6
2 * 2 = 4
Now do the denominator
1/4 - 3/5 =
5/20 - 12/20
= - 7/20
What do you have?
-3/4 // - 7/20 Now invert and multiply
- 3/4 * - 20 /7
= 60/ 28
= 15 / 7 Where did the two minus' go?
Find an equation of the plane that contains the point p(5,1,4) and the line x = 2−t, y = 3 + t, t = 3−3t.
Answers
.. (5-2, 1-3, 4-3) = (3, -2, 1)
The cross product of this with the line's direction vector (-1, 1, -3) is (5, 8, 1). The dot product of that with any of the points in the problem statement is 37. Your plane equation can be written as
.. 5x +8y +z = 37
_____
A suitable vector calculator is very handy for this. I used an HP-48 app on my phone.
a furlong is a unit of length still used today in racing and agriculture. a race that is 8 furlongs is 1 mile. a furlong is 660 feet. how many furlongs are in 1 mile?
Answers
There are 0.125 miles in one furlong.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
There are 8 furlongs in 1 mile.
Since a furlong is 660 feet, we can convert the number of feet into 1 mile.
Now,
1 mile = 5280 feet
Multiply 660/5280 on both sides.
660/5280 mile = 660 feet
0.125 mile = 660 feet
Therefore,
There are 0.125 miles in one furlong.
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The complete question.
A furlong is a unit of length still used today in racing and agriculture.
A race that is 8 furlongs is 1 mile.
A furlong is 660 feet. how many miles are in 1 furlong?
Alice has a box that is 5 inches long, 5 inches wide, and 5 inches tall. How many 1 inch by 1 inch by 1 inch blocks can Alice fit into the box?
Answers
Hope this helps!:)
~Scarlett
What is 5x 1/2? please use any type of model to show work...
Answers
You could also rearrange the question so put the fraction first and say what is:
1/2 of 5 which would equal 2.5 this would work for all questions like this. Hope I helped, have a nice day :)
5
.5
----
2.5
GPA calculation assignment
I need help please
Answers
quality points is 76
gpa is
gpa would be 3.20
find the distance between :(-1,5)( 3,-2)
Answers
distance= [tex] \sqrt{(3+1)^2+(5+2)^2}= \sqrt{65} [/tex]
The student body of a large university consists of 65% female students. a random sample of 8 students is selected. what is the probability that among the students in the sample at least 7 are female?
a. 0.1064
b. 0.0896
c. 0.1373
d. 0.1692
Answers
hope this helps x