Mathematics College

solve for x 3x−91>−87 OR 21x−17>25

Answers

Answer 1

Answer:

  x > 4/3

Step-by-step explanation:

The first inequality can be solved this way ...

  3x -91 > -87

  3x > 4 . . . . . . . add 91

  x > 4/3 . . . . . . divide by 3

__

The second inequality has solution ...

  21x -17 > 25

  21x > 42 . . . . . . add 17

  x > 2 . . . . . . . . . divide by 21

__

The solution set is the union of these overlapping solutions, so will be equal to the first solution:

  x > 4/3

Answer 2

Answer:

The solution is [tex]x>\frac{4}{3}[/tex]

Step-by-step explanation:

A compound inequality is an inequality that combines two simple inequalities.

We want to solve for x the following compound inequality

[tex]3x-91>-87 \:{OR} \:{21x-17>25}[/tex]

Solving the first inequality for x, we get:

[tex]3x-91+91>-87+91\\\\3x>4\\\\x>\frac{4}{3}[/tex]

Solving the second inequality for x, we get:

[tex]21x-17+17>25+17\\\\21x>42\\\\x>2[/tex]

So our compound inequality can be expressed as the simple inequality:

[tex]x>\frac{4}{3}[/tex]

The graph of a compound inequality with an "or" represents the union of the graphs of the inequalities. A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities.

Graphically, we get

Solve For X 3x91>87 OR 21x17>25

Related Questions

What are the roots of the polynomial equation?

x^2−14x−32=0

Enter your answers in the boxes.

Answers

the roots are ; 16, - 2

true or false one quart is greater than 40 fluid ounces

Answers

True. 
One quart is equal to 32 standard US fluid ounces
there is 32 ounces in one quart.
So, 40 fluid ounces is greater than one quart.

8. The triangles below are similar. State the following:
1.The similarity ratio
2.Theorem to justify similarity (ex. SSS, SAS, AAA etc)
3.A similarity statement for the two triangles.

Answers

1. Similarity ratio: ΔMON : ΔJOK = 4 : 3

2. Theorem to justify similarity: SAS.
.. MO = 4/3 JO
.. ∠O = ∠O
.. NO = 4/3 KO

3. Similarity statement: ΔMON ~ ΔJOK by SAS.

A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip. For how many hours did the trucker travel?

Answers

Divide 583.2 by 48.6 to get your answer, 12 hours.

Answer: The trucker traveled for 12 hours.

Step-by-step explanation:

Given : A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip.

i.e. Total distance =  583.2 miles

Average speed =  48.6 miles per hour

Using Formula , [tex]\text{Total Time}=\dfrac{\text{Total Distance}}{\text{Average speed}}[/tex]

We have

[tex]\text{Total Time}=\dfrac{583.2}{48.6}\\\\=\dfrac{5832}{486}\\\\=12\text{ hours}[/tex]

Hence, the trucker traveled for 12 hours.

What term describes the set of all possible output values for a function?
A. Output
B. Input
C. Range
D. Domain

Answers

Hello,

The answer is option D domain.

Reason:

The answer is option D because Domains are used to find the outputs for a function. Its not input because inputs are usually used to help find the function. Its also not C because range is used to find the median, mean etc... of a group of numbers (which is not a function).

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Answer:

The answer is option C !!

Step-by-step explanation:

the answer ............

Answers

f(0) = 2
g(0) = 2

1. f(g(0)) = f(2) = 0

2. h(f(0)) = h(2) = 2² -3 = 1

3. h(g(0) +1) = h(2 +1) = h(3) = 3² -3 = 6

Taylor baked a cake. Suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces. Explain how they could have divided the pieces so that everyone ate the same amount of cake.

Answers

she could've cut the cake into 6 pieces so everyone could have an equal slice of cake or she could've cut it into 12 pieces and everyone could have 2 pieces each equally 

hope this helps :)

how do you change 87/9 into a mixed number

Answers

Divide 87 by 9 ! You'll get 9, with a remainder of 6/9 or 2/3. So the mixed number is 9 2/3.
Divide 87 by 9 and put remainder in fraction form - 9 6/9 which reduces to 9 2/3

The volume of a cone varies jointly with the area of the base and the height. When the area of the base is 27 cm2 and the height is 6 cm, the volume is 54 cm3. Therefore, the area of the base is _____ cm2 when the height is 12 cm and the volume is 124 cm3.

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------[/tex]

[tex]\bf \textit{\underline{V} varies jointly with \underline{B} and \underline{h}}\qquad V=kBh \\\\\\ \textit{we also know that } \begin{cases} B=27\\ h=6\\ V=54 \end{cases}\implies 54=k(27)(6)\implies \cfrac{54}{(27)(6)}=k \\\\\\ \cfrac{1}{3}=k\qquad therefore\qquad \boxed{V=\cfrac{1}{3}Bh} \\\\\\ \textit{when h = 12, and V = 124, what is \underline{B}?}\qquad 124=\cfrac{1}{3}B(12)[/tex]
Final answer:

The area of the base of a cone can be calculated by using the volume, height, and a constant derived from given values. Applying this formula to the specified conditions, the area of the base when the height is 12 cm and the volume is 124 cm3 is 31 cm2.

Explanation:

The volume V of a cone can be represented using the formula V = k * B * h, where 'V' is the volume, 'B' is the area of the base, 'h' is the height, and 'k' is a constant proportionality factor. In this case, you are given that the area of the base is 27 cm2, the height is 6 cm, and the volume is 54 cm3. From these values, you can calculate that the constant 'k' is (54/(27*6)) = 0.333. Now, given a volume of 124 cm3 and a height of 12 cm, you can rearrange the equation to solve for the area of the base 'B': B = V/(k*h) = (124/(0.333*12)) =  31 cm2. Therefore, the area of the base when the height is 12 cm and the volume is 124 cm3 is 31 cm2.

Learn more about Cone Volume here:

https://brainly.com/question/32763285

#SPJ2

What is the lcm of 45 and 54?

Answers

LCM(45, 54) = 45*54/GCD(45, 54)
= 45*54/9
= 270

The least common multiplie is 270.
270 is the com of 45 and 54

7.7.33

 Question Help

 

The kilopascal is a unit of measure for atmospheric pressure. Suppose the atmospheric air pressure at sea level is about

9898

kilopascals. For every​ 1000-m increase in​ altitude, the pressure decreases about

11.411.4​%.

What is the approximate pressure at an altitude of

40004000

​m?

The pressure at an altitude of

40004000

m is about

 

nothing

kilopascals.

Answers

we know that

At sea level, the height is 0 and
the pressure is 98 kilopascals

At 1000 ft, the height is 1000 and
the pressure decreases about 11.41%

i(100%-11.41%)/100----> (0.8859)

therefore
1) at 1000 ft--------> the pressure is 98*(0.8859)----------> 86.82 kilopascals
2) at 2000 ft--------> the pressure is 86.82*(0.8859)-------> 76.91 kilopascals
3) at 3000 ft--------> the pressure is 76.91*(0.8859)-------> 68.14 kilopascals
4) at 4000 ft---------> the pressure is 68.14*(0.8859)-------> 60.36 kilopascals


the answer is
The pressure at an altitude of 4000 m is about 60.36 kilopascals

The circumference of a circle is 25.12 miles. What is the circle's diameter? C=25.12 mi Use 3.14 for ​pi

Answers

The answer to your question is 8mi. I just divide the circumference by pi to find your diameter.
Circumference=2pi*r or 
and diameter=2r
in your case, the circumference is 25.12 miles, so we plug it in to the first formula:
25.12=2pi*r
12.56=3.14*r
4=r
and since 2r=diameter, the diameter is 8

A number w added to 2.3 is more than 18.

Answers

Can be written as
  w +2.3 > 18
w + 2.3 > 18

To solve:
w + 2.3 > 18
subtract 2.3 from both sides
w > 15.7

Hope this helps!

steven needs to purchase enough wallpaper to cover a wall measuring 84 square feet. if the width is 5 feet more than the length, what are the dimensions of the wall?

Answers

84 by 89 feet squared

t=sqrt(2h-40t/g) I'm not sure where to even start on this one.

Answers

[tex]\bf T=\sqrt{\cfrac{2h-40t}{g}}\impliedby \textit{then we square both sides} \\\\\\ T^2=\left( \sqrt{\cfrac{2h-40t}{g}} \right)^2\implies T^2=\cfrac{2h-40t}{g}\implies gT^2=20h-40t \\\\\\ gT^2+40t=20h\implies \cfrac{gT^2+40t}{20}=h[/tex]

The radius of a circle is 4 millimeters. What is the circle's circumference? r=4 mm Use 3.14 for ​.

Answers

The circumference of the circle is: 25.12 mm.

The Circumference of a CircleCircumference of a circle = 2πr

Given:

radius of circle = 4 mm

π = 3.14

Required:

Circumference of the circle

Thus:

Circumference of the circle = 2×3.14×4

Circumference = 25.12 mm

Therefore, the circumference of the circle is: 25.12 mm.

Learn more about circumference of a circle on:

https://brainly.com/question/20489969

The correct answer is the circle's circumference is approximately 25.12 millimeters.

To find the circumference of a circle, one can use the formula:

[tex]\[ C = 2\pi r \][/tex]

where [tex]\( C \)[/tex] is the circumference, [tex]\( \pi \) (pi)[/tex] is a mathematical constant approximately equal to 3.14, and [tex]\( r \)[/tex] is the radius of the circle.

Given that the radius [tex]\( r \)[/tex] is 4 millimeters, we can substitute the values into the formula:

[tex]\[ C = 2 \times 3.14 \times 4 \text{ mm} \][/tex]

Now, we perform the multiplication:

[tex]\[ C = 2 \times 3.14 \times 4 = 25.12 \][/tex]

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 1515 in. by 99 in. by cutting congruent squares from the corners and folding up the sides. Then find the volume.

Answers

Hello,
Please, see the attached files.
Thanks

the sum of two numbers is 16 , and there difference is 8. determine the numbers by solving the following systems of equations,using x and y to represent the unknown numbers. x+y= 16
x_y=8

Answers

the answere is 8 because 8x8 = 16      y=x8

Answer:

Step-by-step explanation:

If the Federal Reserve decreases the reserve rate from 5% to 2.5%, how does this affect the amount of money that would result because of fractional-reserve banking from an initial deposit into a bank of $35,000? A. It incraeses the amount by 1,400,000 B.It decreases the amount by 1,400,000 C.It decreases the amount by 700,000 D. It increases the amount by 700,000

Answers

The money in circulation is inversely proportional to the reserve rate, so changes from
.. 35000/5% = 700,000
to
.. 35000/2.5% = 1,400,000.

It increases the amount by 700,000, corresponding to the 4th selection.

whats (-2,8) and (-22,8) finding the slope from points

Answers

Since y is a constant, the slope is zero.

HELP PLEASE!! A warehouse holds 460 boxes. They ship out 65 boxes each week. After how many weeks will they have less than 100 boxes remaining. Write and solve an inequality that can be used to determine how many weeks it will take for the warehouse to have less than 100 boxes.

Answers

Let's first define the variables:
 x = number of weeks.
 y = number of boxes after x weeks.
 We write the inequation that adapts to the problem
 y> -65x + 460
 For a number less than 100 boxes we have:
 100> -65x + 460
 We clear x:
 65x> -100 + 460
 65x> 360
 x> (360/65)
 x> 5.54
 Answer: 
 it will take more than 5.54 weeks for the warehouse to have less than 100 boxes
Final answer:

To determine how many weeks it will take for the warehouse to have less than 100 boxes, we can use the inequality 460 - 65w < 100. Solving this inequality gives w > (460 - 100) / 65, meaning it will take more than 6 weeks.

Explanation:

To determine how many weeks it will take for the warehouse to have less than 100 boxes, we can use the inequality:

460 - 65w < 100

Where 'w' represents the number of weeks. To solve this inequality, we can subtract 460 from both sides and then divide by -65, remembering to reverse the inequality symbol when dividing by a negative number. This gives us:

w > (460 - 100) / 65

So, it will take more than 6 weeks for the warehouse to have less than 100 boxes remaining.

Learn more about How to determine the number of weeks it will take for a warehouse to have less than 100 boxes remaining here:

https://brainly.com/question/9094511

#SPJ3

Draw three dimes 1 nickel and 2 pennies. Describe how to count on to find the total value of this group of coins

Answers

Total Value: $0.37

The total value of this group of coins can be found by first counting the value of each type of coin, and then adding them all together. The value of a dime is 10 cents, so if there are three dimes, the total value is 30 cents. The value of a nickel is 5 cents, so if there is one nickel, the total value is 5 cents. The value of a penny is 1 cent so if there are two pennies, the total value is 2 cents. After adding 30 + 5 + 2, the total comes to $0.37. 

Will someone please do number 4 and 6 for me ?

Answers

4.  all for angles need to equal 360
  90 +90 + 42 = 222
360-222 = 138
y = 138 degrees
 x - 42 degrees


6. x = arctan(8/4) = 63.43 degrees ( round as needed)
  y =  16 / tan(63) = 8.15 ( round as needed)

what is the volume of a cube with a side length of 5/6 cm

Answers

(5/6) * 3 = 2.5 cm

hope this helps! :)

15+w+(-12)=15-12+w what is the answer

Answers

Hi there!

To solve this problem, we need to simplify.

15 + w - 12 = 15 - 12 + w
3 + w = 3 + w

w = w

So, the answer is undefined, since w is not given.

Hope this helps!

x+2y=6
2x+4y=12

I need to use substitution to solve, may anybody help?

Answers


[tex]x + 2y = 6[/tex]

[tex]x = - 2y + 6[/tex]
[tex]2( - 2y + 6) + 4y = 12[/tex]
then find y and plug that y value into one of the original equations to find x

Hope this helps!

three lots of three make

Answers

3 lots of 3 make 9 use a calculator

you sure answer for number 9 to calculate how much money mr. and mrs. J make per week there 52 weeks per year the answer I came up with for the first one was $82,796

Answers

Assuming there on the ($40.798) there is a decimal instead of a comma. So that states Mrs. Jay with ($41,998) Plus Mr. Jay with ($40.798) Just simply add these two numbers together and you get the answer of 

How much do they make together? Correct answer equals - (42038.798) is how much money Mr. and Mrs. Jay make together! 

Hope this helps. 
Have a great day! 

please help me with another problem

Answers

"one" will fill both blanks.

find rhe volume of a cylinder with a diameter of 10 inches and a height of 20 inches

Answers

since the diameter of the cylinder is 10, its radius is half that, or 5, thus

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=5\\ h=20 \end{cases}\implies V=\pi (5)^2(20)[/tex]
Other Questions
"write an equation in slope-intercept form of the line satisfying the given conditions."The line passes through (-3,2) and is parallel to the line whose equation is y = 4x + 1.How do I do this problem? Show all work. Gene has a gasoline budget of $275 per month. He uses an average of $7 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving? Which of the following apply to a keyword outline? Select all that apply. formal outline information should be accurate and effective key words for conclusion only enough information to trigger memory complete sentences for transitions Which of the following apply to a keyword outline? Select all that apply. formal outlineinformation should be accurate and effectivekey words for conclusiononly enough information to trigger memorycomplete sentences for transitions Match the types of artificial satellites with their uses. Tiles observation satellites communication satellites navigation satellites Pairs sending television signals arrowBoth identifying the geographical position of vehicles arrowBoth forecasting the weather Which statements describe cubist characteristics in this painting by Pablo Picasso?A. It has a shallow space that emphasizes the flatness of the canvas.B. It uses Czannes passage technique of leaving one edge of a shape open so it merges with surrounding shapes.C. It has fragmented shapes that are knitted together to form a unified whole and overall design.D. It shows objects that are produced to their basic geometric shapes.E. It is an experiment that shows three dimensional object on a flat surface.F. It shows objects from a single vantage point.HELP ASAP!!! What holds the pollen and produces the males sperm on a flower? What is the equation of the line passing through the points (2, 1) and (5, 10) in slope-intercept form?y=-3x-5y=-3x+5y=3x-5 y=3x+5, How did the war of 1812 and the hartford convention affect the federalist party? WILL GIVE BRAINLIEST, 15 points-The daily number of patients visiting a dentist's office during one week are 8, 41, 35, 39, 36, and 42.Which statement is true?The mean, median, and mode are all appropriate measures of center.Both the mean and median are appropriate measures of center.The median is the only appropriate measure of center.Both the median and mode are appropriate measures of center. All The different populations that live together in an area make up an______ In your notebook, draw a right angle and then draw a bisector of the right angle. Label all parts. What are some properties of the angles formed by the bisector? 2. Which type of microscope can produce three-dimensional images of a cells surface? (1 point)transmission electron microscopescanning electron microscopedissecting microscopecompound light microscope3. Which of the following distinguishes a prokaryotic cell from a eukaryotic cell? (1 point)the presence of a nucleusthe presence of a cell membranethe ability to interact with the environmentthe ability to reproduce True or false, The golf club is swung in a northernly direction, and that is the direction the ball travels I need the answers to 5&6 explain how you found the answer and I'll give brainliest Why was mount Olympus important to the Greece? Population y grows according to the equation dy/dt=ky, where k is a constant and t is measured in years. if the population doubles every 10 years, then the value of k is anybody wanna help me ? 10 points !! What type of bond holds the amino acids together in the proper sequence at the ribosome? On which part of the body does long-term use of stimulants (e.g., nicotine, cocaine, and methamphetamine) have the most significant impact? A client at 42 weeks' gestation is 3 cm dilated and 30% effaced with membranes intact and the fetus at +2 station. fetal heart rate (fhr) is 140 to 150 beats/minute. after 2 hours, the nurse notes on the external fetal monitor that for the past 10 minutes, the fhr ranged from 160 to 190 beats/minute. the client states that her baby has been extremely active. uterine contractions are strong, occurring every 3 to 4 minutes and lasting 40 to 60 seconds. the nurse suspects fetal hypoxia based on which finding?