An absolute value inequality is used to represent the situation given that
cases with values above and below the allowance are to be removed.
The absolute value inequality for the situation is; |x - 125| ≥ 0.25.Reason:
The given parameter are;
Length of a case x ≤ 125 + 0.25
Length of a case x ≥ 125 - 0.25
Required:
Represent the cases that are to be removed using absolute inequality.
Solution:
The given inequalities sign can be rearranged to give the cases to be
removed as follows;
x ≥ 125 + 0.25
∴ x - 125 ≥ 0.25...(1)
x ≤ 125 - 0.25
x - 125 ≤ -0.25
Multiplying both sides by (-1) gives;
-1×(x - 125) ≥ (-1) × -0.25 = 0.25
-(x - 125) ≥ 0.25...(2)
Therefore;
The given that a case with difference (x - 125) ≥ 0.25 or when (x - 125) is
negative -(x - 125) ≥ 0.25 should be removed, using absolute inequality, we
have;
|x - 125| = (x - 125) when x > 125
|x - 125| = -(x - 125) when x < 125, and (x - 125) is negative
Which gives; A case with length |x - 125| ≥ 0.25 should be removed.
The absolute value inequality that represents the lengths of all the cases
that should removed is therefore;
|x - 125| ≥ 0.25Learn more here:
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7 1/3- 1 1/5?
Please show work it would make it so much easier
Answer:
6 2/15
or 92/15
Step-by-step explanation:
To subtract mixed numbers, subtract the whole number parts of the mixed numbers and then subtract the fraction parts in the mixed numbers. Finally, combine the whole number answer and the fraction answer to express the answer as a mixed number. Subtract. Simplify the answer and write as a mixed number.
Answer:
6 2/15
Step-by-step explanation:
7 1/3 - 1 1/5
turn fractions in to common denominators
1/3 x 5 = 5/15
1/5 x 3 = 3/15
Now subtract fractions
7 5/15 - 1 3/15
= 6 2/15
I NEED HELP WITH GEOMETRY
Bruno put 7 liters of gas in his motorcyle.
How many milliliters was that?
Answer:
7000 milliliters
Step-by-step explanation:
1 liter = 1000 milliliters
1000 x 7 = 7000
Answer:
7000 milliliters
Step-by-step explanation:
7 Liters = 7000 milliliters.
Helpp mmeee pleaseeeee !!
.
Answer:
the answer is 6
Step-by-step explanation:
What is the value of x2(4 - x) + 2 when x =
3?
Answer:
The answer is 11.
Step-by-step explanation:
You replace x with the value of 3 and solve.
Answer:
23
Step-by-step explanation:
3 × 2 × 4 - 3 + 2
Consider the graphs of j(x) = = 7 sin (6x- pi/2) +11 and k(x) = 7 sin(6x- pi/2) - 11. Which feature of the graph of k(x) is different from the graph of j(x)?
Answer: the vertical shift
Step-by-step explanation:
The vertical shift because the first equation j(x) is shifted up 11 while k(x) is shifted down 11. D in the equation y=acos/sin(bx-c)+d indicates if an object is moving vertically up or down.
The graph of k(x) have Vertical shifted down and graph of j(x) Vertical shifted up 11.
What is Translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .
Given:
j(x) = = 7 sin (6x- pi/2) +11
k(x) = 7 sin(6x- pi/2) - 11.
The +11 in j(x) shows the Vertical shift up.
and, the '-11' in k(x) shows the Vertical shifted down 11.
Hence, the difference is of the vertical shifting up or down.
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Find the area of the shaded region.
Answer:
I think it's 2 or something more yo.
Step-by-step explanation: And to be honest I'm estimating so yeah.
Hallooo can someone help pls?
Answer:
x-axis: (18,0)
y-axis: (0,12)
quadrant 1: (4.5, 10.6)
quadrant 2: (-15, 21)
quadrant 3: (–3/4, –4 1/9)
quadrant 4: (3, –7)
Which is equivalent to p ÷ –5/12?
Step-by-step explanation:
[tex] \frac{p}{( \frac{ - 5}{12} )} \\ = \frac{p}{ - 5} \times 12 \\ = \frac{ - 12p}{5} \\ thank \: you[/tex]
If there's 1 adult for every 6 kids how many adults would there be if there 66 kids?
Answer:
11 kids
Step-by-step explanation:
Answer: There would be 11 adults
Step-by-step explanation: if there are 66 kids and 1 parent for every 6 kids that would mean that you would have to divide 66 by 6 and 66 divided by 6 is 11
66 % 6 = 11
(the % sign is the closest sign on my keyboard to a division symble)
Classify the following equation as Linear, Quadratic, or Neither
2x + 5y =7
Answer:
It is a Linear
Step-by-step explanation:
Linear ex: y = [tex]3_{x}[/tex] + 4 or 4 + [tex]3_{x}[/tex] = y
Quadratic ex: [tex]x^{2}[/tex] - 4x - 5 = 0
Write a linear function f with f (5) = 7 and f (-2) = 0
Step-by-step explanation:
Determine points
We can use f (5) = 7 and f (-2) = 0 to write two points.
(5 , 7) & (-2 , 0)
Find Slope
Slope = (y₂ - y₁) ÷ (x₂ - x₁)
= (7 - 0) ÷ (5 - (-2))
= 1
Write the equation
equation in point-slope form (y - y₁) = m (x - x₁)
(y - 0) = 1 (x - (-2))
y = x + 2
Please help , asap please
Answer: 14
Step-by-step explanation:
3+12 = 15. If the third side is 15, this would be two straight lines that overlap. The third side must be smaller that the sum of the other 2. The largest whole number would be 14.
How many meters are in a kilometer?
with the help of three figures prove that the sum of two complementary angles is equal to 180 degree
Answer:
i have no idea
Step-by-step explanation:
i just dont know
Solve for X
help plzzz i’ll give u brainliest
Justify each step of this inequality by stating the property that was used to get to each step.
Given: -4(k+5)<15-11k + 3k Property used:
Step 1: -4(k+5)<15-11k+3k Step 1:
Step 2: -4k(k+5)<15-8k Step 2:
Step 3: 4k - 20 <15 Step 3:
Step 4: 4k<35 Step 4:
Step 5: k<8.75 Step 5:
Answer:
Step-by-step explanation:
step 1 simplified like terms -11k +3k =8k
step 2 incorrect should be -4k -20 on the left side distributive property
step 3 added 8k to each side
step 4 added 20 to each side
step 5 divided each side by 4
Can someone tell me the answer and explain it please
Answer:
x^2 - y^2
Step-by-step explanation:
In the following problem, we can use the distributive property to simplify:
(x + y)(x - y)
We can start by multiplying the x's together, giving us x^2.
Next is the first x multiplied by -y in the second parenthesis. This gives us -xy.
Now, we can move on the the y in the first parenthesis: y times x(in the second parenthesis) is xy.
Lastly, we have y times -y which gives us -y^2.
(This process is shown in the image attached)
If we aa these together we get:
x^2 - xy + xy - y^2
If we add -xy and xy it would be 0 because if you add a number with it's opposite, they cancel out. We are just left with x^2 - y^2.
Use the diagram shown to answer the question. What are the sine and cosine values of a 60° angle?
Answer:
The answer would be A.
Step-by-step explanation:
Video One, a Blu-ray disc player manufacture, produces two model of Blu-ray players. The mini-blue, which can only play a Blu-ray disc and the media-blue that plays Blu-ray disc and contains a personal DVR. The players are assembled on two different assembly lines. Line 1 can assemble 3 units of the mini-blue model and 13 units of the media-blue model per hours, and Line 2 can assemble 4 units of the mini-blue model and 4 units of the media-blue model per hours. The company needs to produce at least 24 units of the mini-blue model and 64 units of the media-blue model to fill an order.Letx= the number of hours for Line 1Lety= the number of hours for Line 2.Write the system of inequalities≥24≥64Graph the system of inequalities.
The question is an illustration of inequalities and equation.
The system of inequalities are: [tex]\mathbf{3x + 4y \ge 24}[/tex] and [tex]\mathbf{13x + 4y = 64}[/tex]
Represent the number of hours for lines 1 and 2 with x and y.
So, we have:
Minibus
Line 1 = 3
Line 2 = 4
Total: At least 24
Media-blue
Line 1 = 13
Line 2 = 4
Total = 64
At least means greater than or equal to.
So, the system of inequalities are:
[tex]\mathbf{3x + 4y \ge 24}[/tex]
[tex]\mathbf{13x + 4y = 64}[/tex]
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6.) Eight of the 45 fourth-year students in Gryffindor want to attend the Yule Ball. If Gryffindor is
representative of the entire school, how many of the 585 students at Hogwarts will probably attend
the next dance?
7. Alicia Spinnet handled the quaffle 464 times in 131 Quidditch matches. At this rate, how many
times should she expect to handle the quaffle in a full season of 162 matches?
Plz plz plz helpppp
let f(x)=4x+1 and g(x)=-2x f(g(-2))
Answer:
fg(-2)=17
Step-by-step explanation:
fg(x)=4(-2x)+1
=-8x+1
fg(-2)=-8(-2)+1
=16+1
17
help please anyone if you know it help please
Find the greatest common factor (reverse of distributing)
Answer:
x is the greatest common factor
Answer:
4X-4XY=0
⇔4X(1-Y)=0
Step-by-step explanation:
REPOST*
Which equation or inequality shows the relationship between the plotted points on the number line
A. 3 < -6
B.-6 > -3.
C.-6 < -3
D.-3 < -6
Answer:
C
Step-by-step explanation:
-6 is more to the left of the number line than -3
I need an answer ASAP!!! Tyyyy
Part A
x = amount of money she starts with
(4/9)x = cost of the dress
(5/9)x = amount of money leftover after buying the dress
note that 4/9 and 5/9 add to 1 to represent 100% of her money
(3/4)*(5/9)x = (15/36)x = (5/12)x = amount spent on shoes
We see that she spent 5/12 of her original amount of money on shoes.
-----------------------
We can look at a more concrete example if the previous section does not make sense.
Let's multiply the denominators 9 and 4 to get 9*4 = 36. Doing this trick will mean that the later steps won't involve decimal values.
Let's say she starts off with $36
Multiply that with 4/9 to get (4/9)*36 = 16. So in this hypothetical situation, the dress costs $16 and she's left with 36-16 = 20 dollars.
Multiply that 20 by 3/4 to get (3/4)*20 = 15
In this situation, the shoes cost $15
We'll then divide the cost of the shoes (15) over the original amount of money she started with (36)
15/36 = (3*5)/(3*12) = 5/12
-----------------------
Answer: 5/12=======================================================
Part B
From the first section in part A, we found that:
(4/9)x = amount of money spent on the dress(5/12)x = amount of money spent on shoesAdd those two expressions
(4/9)x + (5/12)x = (16/36)x + (15/36)x = (31/36)x
This indicates that buying the dress and shoes will cost (31/36)x dollars, where x is the original amount of money Jing has to start with.
The amount left over is (5/36)x because 5/36 adds with 31/36 to get 1.
Take 1/3 of this to get:
(1/3)*(5/36)x = (5/108)x
Then set this equal to 18 and solve for x
(5/108)x = 18
5x = 18*108
5x = 1944
x = 1944/5
x = 388.80
--------------------
Let's check the answer
If she starts with 388.80 dollars, then the dress costs (4/9)*388.80 = 172.80
She's left with 388.80 - 172.80 = 216 dollars after buying the dress.
She then spends the remaining 3/4 of that on shoes. So (3/4)*216 = 162 dollars is spent on the shoes.
Jing now has 216 - 162 = 54 dollars left over.
1/3 of which is spent on the shoe bag, meaning it costs (1/3)*54 = 18 dollars
This confirms our answer.
--------------------
Answer: $388.80PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
Answer 45^(1/2)
Step-by-step explanation:
Use the pythagorean theorem to calculate the distance of the hypotenuse formed by the two siz=des that can be calculated from the given 2 points. X is 3: (-2 -(-5)) = 3
y is 6: (9-3) = 6
We want the hypotenuse: z^2 = x^2 + y^2
z^2 = 9 + 36
z = [tex]\sqrt45}[/tex]
It asks for the exact answer, so 45^(1/2) sems to be the only way to express this.
1/5 oz = how many lb
Answer:
0.03125
Step-by-step explanation:
formula:
divide the mass value by 16
Answer:
1 pound
Step-by-step explanation:
Convert 35cm/sec= M/min
Step by step
Answer:
2.9
Step-by-step explanation:
Select all the statements that best describe the graph below.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choices are :
the dependent variable is y the rate of change is not constant independent variable is x This is a negative relationship The relationship is nonlinear