1.Write an inequality comparing the rational numbers -3/4 and -2 .
2. Using complete sentences, explain what your inequality means about the position of the two numbers on the number line.
Answers
Answer:
[tex]-2<x<-\dfrac{3}{4}[/tex] Or [tex]x\in (-2,-\dfrac{3}{4})[/tex]
Step-by-step explanation:
The numbers are [tex]-\dfrac{3}{4}[/tex] and [tex]-2[/tex].
We need an inequality that gives us the numbers between the above numbers.
The inequality will be
[tex]-2<x<-\dfrac{3}{4}[/tex]
Or
[tex]x\in (-2,-\dfrac{3}{4})[/tex]
This means that [tex]x[/tex] is a number that is in between the rational numbers [tex]-\dfrac{3}{4}[/tex] and [tex]-2[/tex]. Also, [tex]x[/tex] is greater than [tex]-2[/tex] and less than [tex]-\dfrac{3}{4}[/tex]
The positions in the number line are shown in the figure where the numbers are marked by arrow.
Related Questions
please help! which angles are congruent?
Answers
Answer:
All of the angles
Step-by-step explanation:
All of the angles
Answer: Opposite angles
Step-by-step explanation: As you can see, angles B and D are opposite from each other and they have matching angles. Angles A and C are opposite from each other and they have matching angles. So the opposite angles are congruent. Congruent = identical
is there an Outlier ? 7, 6, 4, 8, 6, 5, 51, 2, 5, 7, 8, 4, 5, 6,
Answers
Answer: Yes there is an outlier.
Step-by-step explanation: 51 is the outlier.
A)32 ft
B) 60 Ft
C) 72ft
D) 96ft
Answers
Answer:
96
Step-by-step explanation:
16 * 6 = 96
Answer to this please
Answers
Answer:
2, -2
Step-by-step explanation:
You start at -1, 2
-1 ,2
3, -4
add the Transformations to the starting coordinates and end up getting
2,-2
what is the mean of 6,5,4,5,8,2
Answers
Answer: 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
5
What is the length of side 'y'?
Answers
Answer:
B
Step-by-step explanation:
A 2-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the inner circle is 74 ft. How much farther does a wheel on the outer travel than a wheel on the inner rail of the track in one turn ?
Answers
Answer:
As we know the formula for "Circumference of circle": Since we have also mentioned that there is 2 feet wide circular track for a camera dolly. Therefore, A wheel on the outer rail travel 12.57 ft more than a wheel on the inner rail of the track.
Step-by-step explanation:
i hope it helped
Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 30 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 10 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 10,800; SSTR = 4560.
Required:
a. Set up the ANOVA table for this problem.
b. Use α= .05 to test for any significant difference in the means for the three assembly methods.
Answers
Answer:
H0 is rejected.There difference in the means for the three assembly methods.
Step-by-step explanation:
Calculating gives the following results.
ANOVA Table
Source DF Sum Mean F Statistic
of Square Square
Treatments 2 4560 2280 9.865
(between groups)
Error 27 6240 231.111
Total 29 10,800
Error SS= SST -SSTR = -10,800-4560=6240
d.f for SSTr = r-1= 3-1
D.f for SST= n-r= 30-3= 27
Total D.f= d.f for SSTr+D.f for SST= 27+29
MSTR= SSTR/d.f= 4560/2= 2280
MSError= Error SS/ d.f= 6240/27=231.111
F test= MSTR/ MsError= 2280/231.11= 9.865
The P- value < 0.01 which is less than 0.05 therefore H0 is rejected.
There is sufficient evidence to reject H0.
4.
What equation has the missing number?
50/5=
?
a. 50 x 5 =
b. 50-5=
c. 5+) = 50
d. 5x = 50
Answers
if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00
Answers
Answer:
B
Step-by-step explanation:
Probability of getting 9 or 11 = 2 /6 =1/3
Probability of getting tails in coin = 1/ 2
Probability of getting 9 or 11 AND tails in coin toss = 1/2 * 1/3
= 1/6
Need answer asap, correct answer will get brainliest.
Answers
Answer: Second choice
Step-by-step explanation: Think of it as "folded on" x axis insted of "reflected on" to help visualize.
if you think about it, if it was reflected it would give you the second one. hope that helps boo xoxox
You have $2,000 on a credit card that charges a 17% interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month (assuming you don't charge anything new to the card)? Disclaimer: this is treating credit cards as an amortized loan, which they are not.
Answers
Answer:
$65?
Step-by-step explanation:
an employee at the metropolitan museum of art surveyed a random sample of 150 visitors to the museum. of those visitors, 45 people bought food at the cafeteria.based on those results, how many people out of 1750 visitors to the museum would be expected to buy food for the cafeteria?
Answers
Answer:
525 people would be expected
Step-by-step explanation:
45 out of 150 or 45/150 is simplified to 3/10
1750 people * 3/10 = 525
Answer:
525 is the answer
Step-by-step explanation:
I need help on this!!
Answers
Answer:
C and A
Step-by-step explanation:
Part 1.
The area of a trapezoid is base 1 + base 2 divided by 2 times height.
Base 1 is 38, base 2 is 14, and the height is 16.
38 + 14 = 52, 52 / 2 = 26, and 26 x 16 = 416.
The answer is C, 416.
Part 2.
The area of a kite is diagonal 1 times diagonal 2 divided by 2. The length of diagonal 1 is 12 (on the left) + 12 (on the right) = 24. The length of diagonal 2 is 10 (on the top) + 18 (on the bottom) = 28.
28 x 24 / 2 = 336.
The answer is A, 336
Answer:
336
Step-by-step explanation:
In the figure, there are four triangles
Total Area = sum of four triangles areas
0.5(12*18)*2+0.5(12*10)*2=336
Complete the Big X by filling in the blank.
Answers
Answer:
Blank 1: 3
Blank 2: 6
Step-by-step explanation:
When doing the X method, the numbers on the sides(3 and 6) have to add up to the number on the bottom (9) and multiply to get the number on the top(18)
Find the area of a parallelogram with vertices (-7, 2), (6, 2), (6, -5), and (-7, -5). Use the coordinate grid below to help you find your answer.
Answers
Answer:91
Step-by-step explanation:
Answer please 10 points
Answers
Answer:
3/4 to 9/6
Step-by-step explanation:
explain C = 15 + 0.6Yd
Answers
the co-terminal angle of -120°
Answers
Answer:
-480°, 240° (among others)
Step-by-step explanation:
± 360
What is the missing step in this proof? look at picture
Answers
Answer:
The missing step in that proof is E
Find the quadratic root of 3 x² - 4x + 2
Answers
Answer:
it has no real roots.
and the 2nd answer is correct.
Step-by-step explanation:
Answer:
this quadratic equation has two roots:
x = (2+i√(2))/3 , (2-i√(2))/3
Steps:
3x²-4x+2=0
x = (4±√((-4)²-4×3×2))/2×3
x = (4±√(16-24))/6
x = (4±√(-8))/6
x = (4±√(-2×4))/6
x = (4±√(-2)×√(4))/6
x = (4±i√(2)×2)/6
x = (2±i√(2))/3
x = (2+i√(2))/3 , (2-i√(2))/3
Find the length of the arc
in terms of pi.
Half the circle is 20 radius the other half is 180 degrees. Find AB?pi
Answers
Answer:
10π
Step-by-step explanation:
Length for arc = θ/360 × πd
Where,
θ = 180°
d = 20
Length of the given arc = 180/360 × π × 20.
= 10π
Answer with steps please i have 1 mark on this with steps
Ahamd wants to cover a box that is 6 cm long 4 cm high and 4 cm wide with material on all the sides how much material does he need
Answers
Answer:
56cm²
Explanation:
the amount of material he needs would be the total surface area of the box. surface area can be calculated by finding the sum of surface area of all the sides of the box. since the opposite sides are equal, we can find the surface area of 3 different sides and then multiply it by 2.
(4 + 4) + (4 + 6) + (6 + 4) × 2
= 8 + 10 + 10 × 2
= 28 × 2
= 56cm²
i hope this helps! :D
Dylan is creating clay at home for an art project. The recipe calls for 6 cups of water and 5.5 cups of flour. Dylan would like to make more clay than the recipe calls for and so he puts 44 cups of flour in the bowl instead. How many cups of water should he use?
Answers
Answer:
48 cups of water
Step-by-step explanation:
Using the provided ratio of 6:5.5...
if 6:5.5
then
48:44
Plot points on the number line to represent all whole numbers that round to 200 to the nearest hundred and 250 when rounded to the nearest ten.
Answers
Answer:
To round a number to the nearest hundred, you make it into the hundred that is closest. Take the number 246, for example, which is between 200 and 300. It is closer to 200. So 246 rounded to the nearest hundred is 200.
What is -3v = 15 like I need this answer!!
Answers
Answer:
v = -5
Step-by-step explanation:
Answer:
v=-5
Step-by-step explanation:
-3 times -5= 15
I need help solving this problem.
Answers
(f+g-k)(x) means to add the equations f(x) and g(x) then subtract k(x)
2x^2 + 3x + 4x - 9 = 2x^2 +7x -9
2x^2 + 7x - 9 - x^2 -7x = x^2 -9
The answer is : x^2 - 9
The answer I got is x^3 + 14x - 9x
Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term
is two times the fifth term. Find the common difference and the first term.
Answers
Answer:
The first term is -6 and common difference is 3
Step-by-step explanation:
The nth term of an arithmetic progression is expressed as;
Tn = a + (n-1)d
T3 = a+2d
T4 = a + 3d
If the third term of an arithmetic sequence less than the fourth term by three
T3 = T4 - 3
a+2d = a+3d - 3
2d - 3d = -3
-d = -3
d = 3
Similarly;
T7 = a+6d
T5 = a+4d
If the seventh term is two times the fifth term, the;
T7 = 2T5
a+6d = 2(a+4d)
a+6d = 2a+8d
Since d = 3
a + 6(3) = 2a + 8(3)
a+18 = 2a + 24
a-2a = 24 - 18
-a = 6
a = -6
Hence the first term is -6 and common difference is 3
A machine can grade 30 tests in 2 minutes. At this rate, how long will it take the machine to grade 135 tests?
8 minutes
9 minutes
10 minutes
12 minutes
Answers
WHY:
30/2= 15 so 15 tests per minute
135/15=9 so nine minutes for 135 tests
MARK ME BRAINLIEST PLEASE
Count the units from (2,4) to (-2,-6).How many blocks are between Jenna’s apartment and Zac’s house
Answers
Answer:
Distance = 10.77 unit (Approx.
Step-by-step explanation:
Given:
Coordinate of Jenna's house = (2,4)
Coordinate of Zac's house = (-2,-6)
Find:
Distance
Computation:
Distance = √(X1 - X2)² + (Y1 - Y2)²
Distance = √(2 + 2)² + (4 + 6)²
Distance = √(2 + 2)² + (10)²
Distance = √16 + 100
Distance = √116
Distance = 10.77 unit (Approx.