At a trout farm, most of the trout have a length of 23.5 cm. The length of some differ from this by as much as 2.1 cm. Write and solve an absolute-value inequality to find the range of lengths of the trout.
Answers
Answer:
21.4 ≤ x ≤ 25.6
Step-by-step explanation:
The absolute value of a number is the non-negative value of the number without regard to its sign.
The absolute value of a real number x (|x|) is x for x is positive and -x for x is negative.
Let x represent the length of the trout. Since most trout have a length of 23.5 cm and differ by 2.1 cm, then x can be represented by:
|x - 23.5| ≤ 2.1
x - 23.5 ≤ 2.1 or -(x - 23.5) ≤ 2.1
x ≤ 2.1 + 23.5 or x - 23.5 ≥ -2.1
x ≤ 25.6 or x ≥ 21.4
Hence, the range of lengths of the trout is 21.4 ≤ x ≤ 25.6
Related Questions
Bathroom tiles cost £1.65 each.
Work out the total cost of 90 tiles.
Answers
Answer:
£144.00
Step-by-step explanation:
1.60 x 90 = 144
Hope this Helps (✿◡‿◡)
Answer:
£148.50
Step-by-step explanation:
you first have to change £1.65 into a whole number
165×90=14850
14850 × 100 = 148.50
Which is the best description of the equivalency of the two expressions?
Expression 1
5x-2x-4+6x+3
Expression 2
6x-6x+6-x+10x-7
O The two expressions are not equivalent because when x2, the two expressions do not have the same value.
O The two expressions are not equivalent because when they are simplified, they do not have the same coefficients for
the andx terms.
O They are equivalent because the sum of the constants is the same in both expressions.
O They are equivalent because when X- 2, the two expressions have the same value,
Answers
Once you’ve done this you can see that the two expressions are actually the same and therefore equal to each other.
The best description of the equivalency would be D
Just because the sum of the constants are equal doesn’t mean the expressions are. There could be different amounts of the variable (that’s why you should always simplify )
Select the statements that are true about the graph.
The y-intercept of the graph is (0, -8).
The vertex is located at (-1,-9)
The graph has y-intercepts at (-4.0) and (2.0).
The graph has a minimum.
The graph has zeros of -4 and 2.
The solution of the quadratic function represented by the graph is (-1,-9).
The graph has a maximum.
Answers
Answer:It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.
Step-by-step explanation:
The Y intercept of a straight line is simply where the line crosses the Y axis.
Example
Y intercept
In the above diagram the line crosses the Y axis at 1.
The Y intercept is equal to 1 and the point is written as (0,1). Notice that for the y-intercept the x-coordinate of the point is always zero..
Sarah is having a birthday party. She plans to give everyone 1-1/2 cups of ice cream. If she plans to serve 10 people, including herself, how much ice cream does she need?
Answers
Answer:
5 cups
Step-by-step explanation:
Dan is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dan wants to get 83 balloons, how many yards of string will he need?
Answers
Answer:
I would think its 249 because 9 divided 3= 3 because 3 feet is 1 yard and then you do 83x3 and then you get 249.
Step-by-step explanation:
The Heyde family went to the zoo. There are 2 adults and 3 children. Admission to the zoo is $22.00 for adults and $15.00 for children. How much did the family spend to enter the zoo?
Answers
Answer:
$89.00
Step-by-step explanation:
(2*22)+(3*15)= 89
The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? help plsss
Answers
Answer:
mmhhhhh Im an idiot that does not know how to answer questions just like you.
Step-by-step explanation:
Two six-sided dice are rolled. Find the probability of rolling the same number twice.
Answers
Answer: please 2.9
Step-by-step explanation:
I think
Answer:
1/36
Step-by-step explanation:
The probability of rolling a specific number twice in a row is indeed 1/36, because you have a 1/6 chance of getting that number on each of two rolls (1/6 x 1/6). The probability of rolling any number twice in a row is 1/6, because there are six ways to roll a specific number twice in a row (6 x 1/36).
Hope this helps
Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to 5.4% of her annual salary. If the interest rate of her 401(k) is 8.1% compounded monthly and her monthly salary is $2,461, determine the amount in her account after 25 years. Round to the nearest cent.
a.
$339,804.33
b.
$354,452.86
c.
$344,941.24
d.
$347,269.59
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
In 25 years, Tina will have $354,452.86
Step-by-step explanation:
Monthly Contribution - $366.69 (Tina & Employer)
Length of Time in Years - 25
Estimated Interest Rate - 8.1%
Compound Frequency - Monthly
I GIVEEE BRAINLILSTTT
Answers
Answer:
it's a reduction because it's smaller than the original shape
Step-by-step explanation:
(a reduction means the new shape is smaller than the original, and an enlargement means the new shape is bigger than the original one)
Answer:
Step-by-step explanation:
reduction
Allan writes down n positive integers so that the sum of those numbers is 23. When he multiples those numbers, he gets the maximum result. List all of the n positive integers that Allan has written.
Answers
Answer:
3, 3, 3, 3, 3, 3, 3, 2Step-by-step explanation:
To get maximum product we need to optimize how we break down the numbers
Its obvious we don't want number 1 to be used as it won't change the product
Also we don't want to use big numbers, we can have four 5's instead of two 10's as it would give greater product, 5*5 > 10
What is best number?
2 and 3 are the smallest, 4 can be written as two 2's5 = 2+ 3 and 2*3 = 6, so it is better to use 2's and 3's instead of 56 = 2+2+2, 2^3 = 8 and 6 = 3+ 3, 3^2 = 9, so it is better to use two 3's for 67 = 2+2+3, 2*2*3= 12, again 2's and 3's make greater productSo the best is to break the number down to 2's and 3's
23 = 2*10 + 3 ⇒ 2^10*3 = 307223 = 3*7 + 2 ⇒ 3^7*2 = 4374As we see the maximum product we can get is 4374 with seven 3's and one 2.
Hence the numbers are:
3, 3, 3, 3, 3, 3, 3, 2Answer:
your answer should be 3, 3, 3, 3, 3, 3, 3, 2
Evaluate x + y , for x = 8 and y = -15
A. 7
B. 23 15 POINTS!
C. -7
D. -23
Answers
-7
Explanation:
-15-8 = -7
You just need to bring over the negative to the answer but other than that subtract . Hope this explanation helps. Would appreciate brainliest
A worker bee has a mass of 0.00011 \text{ kg}0.00011 kg0, point, 00011, start text, space, k, g, end text.
Choose the best approximation of the mass of a worker bee.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
1 \cdot 10^{-4}\text{ kg}1⋅10
−4
kg1, dot, 10, start superscript, minus, 4, end superscript, start text, space, k, g, end text
(Choice B, Checked)
B
1 \cdot 10^{-3}\text{ kg}1⋅10
−3
kg1, dot, 10, start superscript, minus, 3, end superscript, start text, space, k, g, end text
An African elephant has a mass of 8139 \text{ kg}8139 kg8139, start text, space, k, g, end text.
Choose the best approximation of the mass of an African elephant.
Choose 1 answer:
Choose 1 answer:
(Choice A, Checked)
A
8 \cdot 10^{3}\text{ kg}8⋅10
3
kg8, dot, 10, cubed, start text, space, k, g, end text
(Choice B)
B
8 \cdot 10^{4}\text{ kg}8⋅10
4
kg8, dot, 10, start superscript, 4, end superscript, start text, space, k, g, end text
Approximately how many times as large is the mass of an African elephant as the mass of a worker bee?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
8\cdot 10^68⋅10
6
8, dot, 10, start superscript, 6, end superscript
(Choice B)
B
8\cdot10^78⋅10
7
8, dot, 10, start superscript, 7, end superscript
(Choice C)
C
8\cdot10^88⋅10
8
Answers
Answer:
Answer:
1). Option (A)
2). Option (A)
Step-by-step explanation:
1). A worker bee has the mass = 0.00011 kg
In scientific notation we can convert the mass of bee as,
0.00011 =
=
Since 1.1 ≈ 1,
Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg
Option (A) is the answer.
2). An African elephant has a mass = 8139 kg
In scientific notation,
8139 = 8.139 × 10³
Since, 8.139 ≈ 8
Therefore, 8139 kg = 8.139 × 10³ kg
Option (A) is the answer.
Step-by-step explanation:
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Answers
Answer:
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PLEASE HELP ME WITH THIS QUESTION
Answers
9514 1404 393
Answer:
B. 3b -0.51b
Step-by-step explanation:
The factor outside parentheses multiplies each term inside parentheses.
3(b -0.17b) = 3(b) +3(-0.17b) = 3b -0.51b . . . . note the minus sign
The term 3b represents the original price of 3 loaves of bread.
The term -0.51b represents the total discount on the price of 3 loaves of bread.
Ricardo ran four miles in 31 minutes. It took him 6.25 minutes to run the first mile. Ricardo ran the remaining miles at a slow and steady speed. How long did it take him to run each of the last three miles?
Answers
Answer:
8.25 minutes
Step-by-step explanation:
31 minutes-6.25 minutes=24.75 remaining miutes between the last 3 miles so then you take 24.75 minutes÷ 3 miles remaining= 8.25 minutes each last 3 miles
I would thank u a bunch of u could help me with this! ASAP
Answers
6. You want to go to the movies. A ticket for a movie
cost $10.90. There is a student discount for 20% off
with a student ID. The tax rate charged is 5.75%.
What is the sale price of your ticket? Explain how you
arrived at your answer.
Answers
Answer: I do not know
Step-by-step explanation:
Answer: 9.22 (This is rounded)
Step-by-step explanation:
20% off of 10.90 is 2.18. So, you subtract that from 10.90 and you get 8.72. Then, you find the tax rate which is 0.5014. When you round it, you should get 0.50. After that, you add it to 8.72 since it’s the tax. That then gets you 9.22.
jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m long.how many pieces of wood did jester cut
Answers
Answer:
2 pieces
Step-by-step explanation:
Given
[tex]Length = 1\frac{2}{3}m[/tex]
[tex]Pieces = \frac{3}{4}m[/tex]
Required
Determine the number of pieces
To do this, we simply divide the length of the wood by the length of each piece.
[tex]Number = \frac{Length}{Pieces}[/tex]
[tex]Number = 1\frac{2}{3}/\frac{3}{4}[/tex]
Convert fraction
[tex]Number = \frac{5}{3}/\frac{3}{4}[/tex]
Change sign to *
[tex]Number = \frac{5}{3}*\frac{4}{3}[/tex]
[tex]Number = \frac{20}{9}[/tex]
[tex]Number = 2.2222[/tex]
[tex]Number = 2[/tex] (approximated)
The radius of a circle is 4 kilometers. What is the circle's area?
r=4 km
Use 3.14 for .
square kildmeters
Submit
Answers
Answer:
50.27km
Step-by-step explanation:
divide the circumference by 3.14 ( pi ) to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.
Answer:
Step-by-step explanation:
PLEASE HELP RIGHT ANSWERS ONLY NO PLAYING AROUND
Answers
Answer:
the boxes to the left should say 2 and and 10 and the box to the right should be 18
Step-by-step explanation:
What is the value of q?
52 589
9
Answers
Mr. Chu is slicing for cantaloupes his for his class there are 24 students in the class if Mr. Chu cuts the cantaloupes to make a equal portion for each student how many of the whole cantaloupe what each student get
Answers
Answer:
3 cantaloupes
Step-by-step explanation:
Since there are 24 students if you divide 24 by 3 it equals 8 so eat cantaloupe should be cut into 8 pieces. So, Mr.chu should buy 3 cantaloupes and cut each of the cantaloups in 8 equivalent slices for the students.
So one day, this young girl, who was only eleven years old at the
time, started to make speeches and write blogs saying that girls should be
allowed to go to school as well.
Question: How do you think the people with political power, who were
against girls in school, might have reacted when she started doing this?
Answers
They would be outraged and make a mockery of the idea, since they belived that girls should remain at home doing chores and learn to cook instead of getting a education.
Which function is graphed? ! Please answer quickly
Answers
Answer:
f(x) = - 1 should be the answer because the function is horizontal.
Step-by-step explanation:
please help! asap
d- 5.44
Answers
Answer:
Step-by-step explanation:
2.72 is the unit rate
Can someone please help me with this. I'll give 50 points!
Answers
Answer:
the second one
Step-by-step explanation:
Answer:
2nd answer
Step-by-step explanation:
x less than -3
As an estimation we are told 5 miles is 8 km.
Convert 80 km to miles.
Answers
Please help me with my delta math
Answers
Answer:
Use “ Math- way”
Step-by-step explanation:
It’s a web browser made for this stuff, you‘re welcome
plz help I'll give 10 plz
Answers
Answer:
C. 8
Step-by-step explanation:
xy - 3x
x = 4 and y = 5
(4)*(5) - 3(4)
20 - 12 = 8