Answer:
[tex]|x-6|\le 0.45[/tex]
[tex]x\in [5.55,6.45][/tex]
Step-by-step explanation:
Absolute Value Inequality
Assume the actual width of a safety belt strap for a certain automobile is x. We know the ideal width of the strap is 6 cm. This means the variation from the ideal width is x-6.
Note if x is less than 6, then the variation is negative. We usually don't care about the sign of the variation, just the number. That is why we need to use the absolute value function.
The variation (unsigned) from the ideal width is:
[tex]|x-6|[/tex]
The question requires that the variation is at most 0.45 cm. That poses the inequality:
[tex]|x-6|\le 0.45[/tex]
That is the range of acceptable widths. Let's now solve the inequality.
To solve an inequality for an absolute value less than a positive number N, we write:
[tex]-0.45\le x-6 \le 0.45[/tex]
This is a double inequality than can be easily solved by adding 6 to all the sides.
[tex]-0.45+6\le x \le 0.45+6[/tex]
Operating:
[tex]5.55\le x \le 6.45[/tex]
That is the solution in inequality form. Expressing in interval form:
[tex]\boxed{x\in [5.55,6.45]}[/tex]
What is the initial value of the following equation? Y=1/2x-4
5)
The perimeter of a triangle is 60 feet. If the sides are in the ratio 3:4:5, find the
length of each side.
Answer:
15,20,25
Step-by-step explanation:
The ratio of the sides is 3:4:5
So 3x + 4x + 5x = 60
12x = 60
x = 60/12
x = 5
The sides are therefore
3x = 3*5 = 15
4x = 4*5 = 20
5x = 5*4 = 25
Total 60 just what it should be
Which expressions are equivalent to 18 + 24?
Select all that apply.
A
3(6 + 8)
B
3(6 + 21)
C
6(12 + 2)
D
6(3+4)
2(16 + 22)
OF
2(9 + 12)
Answer: A and D are correct because they both equal 42.
Step-by-step explanation: Both A and D when distributed equal 18 + 24.
B is incorrect because that equals 18 + 63
C is incorrect because that equals 72 + 12
The last one is incorrect because when simplified it is 76 of 30 and 76 of 30 equals 22.8, not 42.
Answer:
A only
Step-by-step explanation:
Not sure if your missing letter options. If D is asking all 3 to be right, then no, D is not correct. If there are 2 letters missing then the last equation also works.
I reread the question and option D seems like it is
6(3+4) * 2(16 + 22)
2(9 + 12)
Which equals
(42 * 76) / 42 = 72
So not D
Please mark Brainliest for complete answer with work. :)
The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers? I will give brainliest to the person who has the first correct answer!!! HURRY!!!
1) The complex numbers have equal imaginary parts.
2) The complex numbers have equal real parts.
3) The complex numbers have opposite imaginary parts.
4) The complex numbers have opposite real parts.
Answer:
The complex numbers have opposite imaginary parts.
Step-by-step explanation:
right on edge 2020
need help on this math question!!
Answer:
62 degrees
Step-by-step explanation:
Triangle ABC is an isosceles triangle, meaning that B and C are equal.
So:
124 / 2 = 62
The measurement of Angle B would be 62 degrees.
Hope this helped!
A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough . Some days they bake bigger batches and some days they bake smaller batches , but always use the same ratio of honey to flour
Answer:
80
Step-by-step explanation:
kest kuy is offering a sale on its laptop computers with a 20 percent discount off its original price. there is 8% sales tax added to the discounted price to get the final price of the computer. if x is the original price and y is the final price, write an equation to determine the final price based upon the original price.
Answer:
[tex]y = 0.88x[/tex]
Step-by-step explanation:
Given
[tex]Discount = 20\%[/tex]
[tex]Sales\ Tax = 8\%[/tex]
Required
Determine the final price
First, we need to determine the sales price after the discount.
[tex]Discount = 20\% * x[/tex]
[tex]Discount = 0.20 * x[/tex]
[tex]Discount = 0.20x[/tex]
[tex]Sales\ Price = x - Discount[/tex]
[tex]Sales\ Price = x - 0.20x[/tex]
[tex]Sales\ Price = 0.80x[/tex]
Next, is to determine the sales tax.
[tex]Sales\ Tax = 8\% * x[/tex]
[tex]Sales\ Tax = 0.08 * x[/tex]
[tex]Sales\ Tax = 0.08x[/tex]
Final Price, y is then calculated as thus:
[tex]y = Sales\ Price + Sales\ Tax[/tex]
[tex]y = 0.80x + 0.08x[/tex]
[tex]y = 0.88x[/tex]
What is 43x567 and what’s another ways to solve
Answer:
24,381
Step-by-step explanation:
Another way to solve will be the butterfly method or turtle neck they are very east.
If this helps May I get brainliest Im trying to rank up.
Determine the solution for x^2-3x-28 > or equal to 0
Answer:
C (-∞, -4] [7,∞)
I need help on 2 and 5
Answer:
2) d= -3
5) f= -44
Step-by-step explanation:
You're welcome :)
what is 2/5÷4 i need help on my khann
Answer:
1/10 or .1
Step-by-step explanation:
You want to find out whether caffeine mitigates the effect of alcohol on reaction time. To study this, you administer to your subjects a drink that is equivalent to three 12-ounce beers, followed by the equivalent of two cups of coffee. Then your subjects complete a simulated driving task in which they must follow a fixed speed limit while driving on a straight road. Wind periodically and randomly pushes the simulated vehicle right, left, or not at all. Speed is measured in miles per hour above or below the 60-mph speed limit, with 1 mph being the smallest unit on the scale. Suppose the first subject scores 9 mph. Determine the real limits of 9. When measuring weight on a scale that is accurate to the nearest 0.2 pound, what are the real limits for the weight of 120 pounds? When measuring weight on a scale that is accurate to the nearest 0.5 pound, what are the real/limits for the we.ght of 187 pounds?
Answer:
First Question
lower limit of 9 mph [tex]j = 8.5 \ mph[/tex]
upper limit of 9 mph [tex]q = 9.5 \ mph[/tex]
Second Question
lower limit of 120 pounds is [tex]i = 119.9 \ pounds[/tex]
upper limit of 120 pounds is [tex]l = 120.1 \ pounds[/tex]
Third Question
lower limit of 187 pounds is [tex]a = 186.75 \ pounds[/tex]
upper limit of 187 pounds is [tex]b = 187.25 \ pounds[/tex]
Step-by-step explanation:
From the question we are told that
The amount of beer administered is three 12-ounce beers
The amount of coffee administered is two cups of coffee
The speed limit is 60-mph
The smallest unit of scale is 1 mph
The first subject scores 9 mph
Generally given that the smallest unit of scale is 1 mph then the deviation of 9 mph will be by [tex]\frac{1}{2} \ mph[/tex]
Hence the lower limit of 9 mph is
[tex]j = 9 - 0.5[/tex]
[tex]j = 8.5 \ mph[/tex]
And the upper limit of 9 mph is
[tex]q = 9 + 0.5[/tex]
[tex]q = 9.5 \ mph[/tex]
Generally given that the measuring weight on a scale that is accurate to the nearest 0.2 pound then 120 pounds will deviate by [tex]\frac{1}{0.2} \ pounds[/tex]
Hence the lower limit of 120 pounds is
[tex]i = 120 - 0.1[/tex]
[tex]i = 119.9 \ pounds[/tex]
And the upper limit of 120 pounds is
[tex]l = 120 + 0.1 [/tex]
[tex]l = 120.1 \ pounds[/tex]
Generally given that the measuring weight on a scale that is accurate to the nearest 0.5 pound then 187 pounds will deviate by [tex]\frac{1}{0.5} \ pounds = 0.25 \ pounds [/tex]
Hence the lower limit of 120 pounds is
[tex]a = 187 - 0.25[/tex]
[tex]a = 186.75 \ pounds[/tex]
And the upper limit of 120 pounds is
[tex]b = 187 + 0.25 [/tex]
[tex]b = 187.25 \ pounds[/tex]
Caffeine migrates the effects of alcohol.
Caffeine being a drug in itself is able to remove the effects of alcohol drugs. In order to study the effects of drinking coffee can be used to cure and treat the patients suffering.
Thus caffeine has more medicinal usage.
The study administered to the subject that drink coffee equivalent to three 12 ounces of beer was taken in 2 cups of coffee. The subjects were asked to do driving takes which has some mixed reactions.The goal was to find a cause-and-effect relationship. The study proves that the caffeine kept them more awake as per the use of alcohol of the beer.Hence as per the effect of chemicals, the effects of weights increased. Thus was able to migrate the reaction time.Learn more about whether caffeine.
brainly.com/question/16814755.
Kenneth bought a new roll of tape. There were 59.6 yards of tape on the roll. Then Kenneth used 4 yards of the tape to make a collage. How much tape is left on the roll?
Answer:
55.6 yards
Step-by-step explanation:
Is the equation y=x a proportional relationship?
Answer:
Yes
Step-by-step explanation:
y=x because that means it's the origin (0,0) which is proportional.
n the previous problem, Ken predicted a drop in temperature. Explain why a drop in temperature would lead to adding a negative integer.
Answer: SAMPLE RESPONSE FOR EDGE 2021. A drop in temperature means the temperature will decrease. That decrease is represented by a negative integer, which should be added to the previous temperature.
Step-by-step explanation: pls hit 5 star and thanks
QUADRATIC FORMULA
X = ?
Answer:
quad form is (plus or minus)
Step-by-step explanation:
[tex]-b +-\sqrt{b^2-4ac}/2a[/tex]
Answer:
x=5
Step-by-step explanation:
well first 2(2x-5) turns to 4x-10 because of distributive prperty
then simplify the other side 3x+x-2x to 4x-2x to 2x
then subtract 4x from both sides and you get -10= -2x
after divied -2x/-2 and -10/-5
and get x=5
then plug in 5 into x to make sure both sides are equal
and they equal 10=10
Which equation can be used to graph the line that passes through (6,15) and is perpendicular to the graph y-7= 1/2 (x+2)
Answer:
Option A. y = –2x + 27
Step-by-step explanation:
y – 7 = ½(x + 2)
We'll begin by calculating the slope of the equation above. This can be obtained as follow:
y – 7 = ½(x + 2)
Clear bracket
y – 7 = ½x + 1
Rearrange
y = ½x + 1 + 7
y = ½x + 8
Comparing
y = ½x + 8
with
y = mx + c
The slope (m) = ½
Next, we shall determine the slope (m2) of the equation perpendicular to the line. This can be obtained as follow:
For perpendicularity,
m1 × m2 = –1
m1 = ½
½ × m2 = –1
m2 /2 = –1
Cross multiply
m2 = 2 × –1
m2 = –2
Therefore, the slope of the equation perpendicular to the line is –2
Finally, we obtained the equation of the line as follow:
Coordinate = (6, 15)
x1 coordinate = 6
y1 coordinate = 15
Slope (m) = –2
y – y1 = m(x – x1)
y – 15 = –2(x – 6)
Clear bracket
y – 15 = –2x + 12
Rearrange
y = –2x + 12 + 15
y = –2x + 27
Therefore, the equation is y = –2x + 27
Does this polynomial have a GCF greater than 1?
9514 1404 393
Answer:
yes, 5
Step-by-step explanation:
There is no factor of x in every term, so we only need look at the coefficients. Those are 5, 80, 320. All are multiplies of the smallest one, 5.
The greatest common factor is 5.
Round 25,000 to the nearest ten thousand
Answer:
The answer would be 30,000!
Step-by-step explanation:
Here's the general rule for rounding:
If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.
Currency exchage rates are based on?
Answer:
how many people want to buy the product
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
The Currency exchange rates are usually based on the market supply and demand, but it can also be determinated by the government, it is called fixed exchange rate. It is kind of monetary policy where some countries control and apply a fixed exchange rate.
Find the distence between each pair points (-4,-1) (-3,3)
Answer:
4.1231 or 4
Step-by-step explanation:
what is set builder notation of[1, 3,5,39]
Answer:
{ x : x = odd natural numbers < 41 }
Step-by-step explanation: Hope this helps!
The mass of a jar of flour is 2.1 kg. What is the total mass of 16 jars of flour?
Answer:
33.6
Step-by-step explanation:
2.1 times 16=33.6
6 times a number increased by 3 is 27 find the number and solve it
Oswald is going to swim across the English channel which is 34 km wide if he has already swam 4 km how long will it take him to swim the a remaining distance if he swims at 3 km/h
Answer:
10 i think
Step-by-step explanation:
:)
please help me asap
Answer:
5: 44 6: 1.762 x 10^3
Step-by-step explanation:
5:
64 / (4x4) x (3x3) + (2x2x2)
64 / 16 x 9 + 8
4 x 9 + 8
36 + 8
44
Please help ASAP thank you!
Answer:
Is there any answer choises?
What is the slope between the two points (9,7) and
(5,5)
Answer:
The answer is
[tex] \huge \boxed{ \frac{1}{2} }[/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(9,7) and (5,5)
The slope is
[tex]m = \frac{5 - 7}{5 - 9} = \frac{ - 2}{ - 4} = \frac{2}{4} = \frac{1}{2} \\ [/tex]
We have the final answer as
[tex] \frac{1}{2} \\ [/tex]
Hope this helps you
Fraser scores 43% in a spelling test. What percentage did he get wrong?
Answer:
57% incorrect
Step-by-step explanation:
100- 43= 57. Assuming that the test is out of 100%, he got 57% of the test incorrect
A to the power of 0 multiply by A to the power of 6
Answer:
just a
Step-by-step explanation:
because if you do anything times by zero, it is zero.
Answer:
A^6
Step-by-step explanation:
This is the answer bc A^0 would stay the same so you would adding the exponents when you multiply therefore it's A^6