The target weight of a bag of potatoes is 10 pounds. The weight of each bag can differ from this value by at
most 0.75 pounds. Write and solve an absolute-value inequality to find the range of acceptable weights. Graph
the solutions.
Answers
Answer:
t greater than or equal to 9.25
And
t less than or equal to 10.75
Step-by-step explanation:
Inequality shows a relationship between two numbers or two expressions.
The inequality of the range of acceptable weights is 0.1 ≤ x ≤ 9.25
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
Example:
2 > 1
3x > 6, x values will be greater than 3.
We have,
The targeted weight of the bag = 10 pounds
The weight of each bag differs from 10 pounds at most by 0.75 pounds.
The acceptable weight of the bag can be:
0.1 pound to 9.25 pounds.
i.e,
10 - 9.25 = 0.75
Let x = acceptable weights
The inequality of the range of acceptable weights is 0.1 ≤ x ≤ 9.25
Thus,
The inequality of the range of acceptable weights is 0.1 ≤ x ≤ 9.25
Learn more about inequalities here:
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Related Questions
Find the area of the unshaded region in Fig, where ABCD is a square of side 20 cm and semicircles are drawn with each side of the square as diameter. (Use π = 3.14)
Answers
Answer:
229
Step-by-step explanation:
Area of square is = 20 * 20 = 400
radius = 20 / 2 = 10
Area of semi circle is = 1/2 * πr²
= 1/2 * 3.14 * 10²
= 1/2 / 314
= 157
assume there are four shaded regions for the figure
Area of 4 semicircles−Area of shaded region=Area of square ABCD
Area of shaded region=Area of 4 semicircles−Area of square ABCD
= 4 * 157 - 400
= 628 - 400
= 228
so each single shaded area is 228/4
= 57
now in your problem there are 3 shaded regions like this
so area of unshaded region is =
Area of square - 3 * shaded region area of one region
=> 400 - 3 * 57
=> 400 - 171
=> 229
I WILL GIVE YOU BRAINLIST Liam and kiki are tigers living at the libertyville zoo. Liam weights 7 pounds for every 4 pounds that Kiki weighs. If Liam is 90 pounds more than Kiki, how many pounds does he weigh?
Answers
Step-by-step explanation:
Let L= Liam's weight, and K = Kiwi's weight.
We know that L/K = 7/4
We also know that L = K + 90
Rearrange the first equation to find K:
L/K = 7/44L = 7KK = (4/7)LNow use K = 4L/7 in the second equation:
L = K + 90L = (4/7)L + 90(3/7)L = 90L = (90)*(7)/3L = 630/3L = 210 lbsCheck the math:
If L = 210, then K must be L - 90, or 120 pounds
Does L/K = 7/4?
(L/K) = (210/120) = 7/4 YES
2. A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000. Be sure to define a variable and explain what your answer means in the context of the problem.
Answers
Answer
Step-by-step explanation:
The number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclistsLet x represent the number of cyclists.Since, the activists receive $60 per cyclist entry and $15,000 in donations, hence:Revenue = 60x + 15000Also, the cost of the race is $18 per entry, hence:Cost = 18xThey need to raise at least $57,000, hence:Profit ≥ 57000Revenue - Cost ≥ 57000(60x + 15000) - 18x ≥ 5700042x ≥ 42000x ≥ 1000Therefore the number of cyclists the group needs to raise at least $57,000 must be at least 1000 cyclistsWhich situation can be represented by y = 17x - 8
Answers
Answer:
Its the second one
Step-by-step explanation:
y=total cost
each star wars figuirine cost 17 each so x= one star wars figuirine, making it 17x for the cost of however many is bought
and an $8 discount would be subtracting $8 from the total cost (y)
Need help on my math! :)
Answers
You will get y = 5
Please help me! Step by Step answer... Formula is:
A=P+Prt
Answers
Answer:
B
Step-by-step explanation:
1 You are starting a savings account. To open
the account you deposited $110. Your plan is
to add $20 each month.
What is the equation of the function?
A. y = 90x + 20
B. y = 110x + 20
C. y = 20x + 110
D. y = 20x + 90
2 Mark buys stock options for $12,000. The value
of the stock options increase by 10% per year
from the time he bought the stocks.
The value of Mark's stock options, V( t) , can be
represented by which of the following functions?
A. V(t) = 12,000(0.10)t
B. V(t) = 12,000(0.90)t
C. V(t) = 12,000 + 0.10t
D. V(t) = 12,000(1.1)t
3 Ezra bought an autographed movie poster to add
to his collection. The value of the poster, in
dollars, can be modeled by the following function,
where x is the number of years that have passed
since Ezra bought the movie poster.
P x = 135 1.03 x
What does the number 135 represent in the
function?
A. the value of the movie poster one year after
Ezra bought it
B. the rate at which the value of the movie poster
increases
C. the value of the movie poster when Ezra bought
it
D. the amount the value of the poster increases
each year
4 A city with a population of 100,000 is having
pollution problems and is decreasing in size
2% annually (every year).
What would be the remaining number of
people after 100 years? (Round your answer
to the nearest hundred people.)
To receive FULL CREDIT be sure to show your
thinking in Illuminate. You could write an
equation, create a table, or write a brief
paragraph describing your process to find the
solution.
CRQ.HSF.LE.A1/c/B5 Assessment ID: dna.77005 ib.2800535
Directions: Answer the following question(s).
Illuminate Itembank™ Stop: You have finished the assessment.
Generated On November 17, 2021, 2:41 PM PST Page 1
Answers
Answer: 1 is c) 2 is c) 3 is a) 4 is
Step-by-step explanation:
2x-3x^2-2x+3,(x +1)
Answers
Answer:
Answer Answer
(x+1) • (x-1) • (2x-1)
Pls help :))))))))))))))))))
Answers
Answer: the answer is cups and M + W + F
Out of a class of 150 students, two-fifths opted for German classes and one-third opted for Italian classes. The remaining opted for French. What fraction opted for French?
Answers
Fraction of students that opted for French = [tex]\frac{4}{15}[/tex]
The total number of students = 150
Fraction of students that opted for German = [tex]\frac{2}{5}[/tex]
Fraction of students that opted for Italian = [tex]\frac{1}{3}[/tex]
Fraction of students that opted for French = 1 - Fraction of students that opted for German - Fraction of students that opted for Italian
Fraction of students that opted for French = [tex]1-\frac{2}{5} - \frac{1}{3}[/tex]
Fraction of students that opted for French = [tex]\frac{15-6-5}{15}[/tex]
Fraction of students that opted for French = [tex]\frac{4}{15}[/tex]
Learn more here: https://brainly.com/question/18819021
A kennel has 25 cats and 45 dogs. Write the ratio of cats to dogs as a fraction in simplest terms
Answers
Answer:
5/9 in simplest form
Step-by-step explanation:
25/45 simplified is 5/9
Line K has a slope of -5. Line j is perpendicular to line k and passes through the point (5, 9). Create the equation for line j. (Please help me)
Answers
Answer:
y = 1/5x + 8
Step-by-step explanation:
Slope of the perpendicular line: 1/5 (opposite reciprocal)
Point: (5,9)
y-intercept: 9 - (1/5)(5)
= 9 - 1 = 8
Can anyone help me ASAP!
Answers
The answer would be 82 miles :)
There were 45 apples and 28 oranges at the grocery store. Write the ratio of oranges to apples
Answers
Answer:
45:28
Step-by-step explanation:
Happy to help :)
Question 1
1 point
Which of the following represents the range of the function shown in the graph below?
(1) (-4,5]
(2)[-4,5)
(3) (-2,3)
(4) (-2,3]
Answers
Solve y = x - 5 if the domain is 5
Please help asap!!
Answers
Answer:
its x=5
Step-by-step explanation:
well the domain should be not real numbers so yeah
What is the slope of this line?
y=-1/3x+1/4
a.-1/3
b.1/4
c.1/3
Answers
Hello there!
The slope of this line is [tex]-\frac{1}{3}[/tex].
Remember this formula:
y=mx+b
m is the slope
b is the y-intercept
Therefore, the slope is: [tex]-\frac{1}{3}[/tex].Hope this helps you!
~Just a felicitous girlie
[tex]SilentNature[/tex] is here to help
Please help I’m home alone and this is due tonight: Adult tickets to an amusement park cost x dollars. Children's tickets costy dollars. The Henson family
bought 3 adult and 1 child tickets for $204. The Garcia family bought 2 adult and 3 child tickets for $192
Answers
Answer:
$60 for adults (x), $24 dollars for children (y)
Step-by-step explanation:
Solve using systems of equations
3x + y = $204
2x + 3y = $192
y = 204 - 3x
2x + 3( 204 - 3x) = 192
2x + 612 - 9x = 192
-7x + 612 = 192
420 = 7x
x = $60 for adults
y = 204 - 3(60)
y = $24 for children
Will mark brainly :)
In the standard form of a quadratic function, the ___ value tells me the y-intercept.
c
a
b
x
Answers
Answer:
c
Step-by-step explanation:
y-intercept is the function value at x = 0, and we can always substitute x = 0 into the quadratic. Thus, the y-intercept of the quadratic function
y = ax2 + bx + c is c.
How do you write 7.8 as a percentage?
Answers
Answer:
780%
Step-by-step explanation:
To convert from decimal to percent, just multiply the decimal value by 100. In this we have: 7.8 × 100 = 780%
hope it helps~
how can i answer 6x-3y=-6
Answers
Answer:
Step-by-step explanation:
Rewrite in slope-intercept form.
The slope-intercept form is
y = m x + b , where m is the slope and b is the y-intercept. y = m x + b
Reorder 2 and 2 x . y = 2 x + 2
Use the slope-intercept form to find the slope and y-intercept.
Slope:
2
y-intercept:
2
HELP ME PLEASE AND THANK YOU (BRAINLIEST)
Rick deposits $3 into his bank account. The following week, he deposits 3 times that amount. Each week after that, he deposits 3 times the amount he did the previous week.
How much does he deposit in all during the first 3 weeks?
1. Write an exponential expression that represents Rick’s deposit in the second week. Explain how you identified the base and the exponent.
Answers
3x3=9
9x3=27
3+9+27=39
$39
Exponent: 3³
Explanation: because he deposited three times as much three times, which would make for a cubed answer.
what is the slope of the line // will mark brainliest and give points
Answers
[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-1+2}{2+1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{1}{3}[/tex]
Use an equation to find the value of k
so that the line passing through (−4,k)
and (6,−7)
has a slope of −15
Answers
Answer: k=143
Step-by-step explanation:
Let's start with the standard form of a linear equation: y = mx + b, where m ios the slope and b is trhe y-intercept (the value of y when x=0). We know the slope, so:
y = -15x + b
We can find the y-intercept, b, by using the one given point (6,-7) in the equation and solve for b:
y = -15x + b
-7 = -15(6) + b
-7 = -90+b
b = 83
The equation is y = -15x + 83
Use the x value of (-4,k) to find y, which will be k.
y = -15x + 83
y = -15(-4) + 83
y = 60 + 93
y = 143
k is 143
write an equation for the function that passes through the points (1,3/2) and (3/2,2)
Answers
Answer:
y = 1x + 1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
2 - 3/2 / 3/2 - 1
= 1/2 / 1/2
= 1
y = 1x + b
3/2 = 1(1) + b
3/2 = 1 + b
1/2 = b
Alan has $700 in a savings account. The interest rate is 10% per year and is not
compounded. How much will he have in total in 1 year?
Answers
Answer:
$770
Step-by-step explanation:
700 + 10% of 700 = 700 + 70 = 770
You and a group of friends are going to a five-day outdoor music festival during spring break. You hope it does not rain during
the festival, but the weather forecast says there is a 50% chance of rain on the first day, a 25% chance of rain on the second day, a
20% chance of rain on the third day, 5% chance of rain on the fourth day, and a 10% chance of rain on the fifth day.
Assume these probabilities are independent of whether it rained on the previous day or not.
What is the probability that it does not rain during the entire festival?
%
(Round to 2 decimal places)
Answers
Answer:
Below in bold
Step-by-step explanation:
The probability that it doesn't rain is 1 - probability it does ( Prob written as a fraction). So for the first day Probability of not raining = 1 - 0.50 = 0.50.
So the probability of it not raining the entire festival
= 0.5 * 0.75 * 0.80 * 0.95 * 0.90
= 0.2565
or 25.65%
AT&T offers a deal for internet service that is $20 a month. There is an intial fee of $50. If Tim spent $330 on his internet access, how many months did he pay for?
Write and Equation then solve the equation
Answers
Answer:
162 months
Step-by-step explanation:
if I'm correct it should be 162
Work out the perimeter of the shaded shape.
Answers
How many spaces in which direction do you need to move the decimal to make a whole number? .0004
5 Spaces to the right
4 spaces to the left
4 spaces to the right
3 spaces to the left
Answers
Answer:
4 spaces to the right
Step-by-step explanation:
hope this helps!
