Yes the organizer will fit. See the explanation of the word problem below.
How do you know that the organizer will fit?Because 3/4 = 6/8,
69 6/8 is larger than 69 1/8 by 5/8".
That is 6 eighths minus 1 eighth is 5 eighths).
Hence, we may disregard the 69 inches because there is no difference in total inches.
The only distinction is in fractions of an inch.
Hence the organizer will be able to fit inside the closet.
What is a word problem?A word problem in mathematics is a math question expressed in one or more sentences that demands students to apply their arithmetic skills to a'real-life' setting.
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Find the mean of the integers: 11, -7, -14, 10, 5
The mean of the integers in the set of numbers is 1
How to calculate the mean ?Mean can be described as the average of a set of numbers
The integers are given as 11, -7, -14, 10 , 5
The mean can be calculated as follows
11 + (-7) + (-14) + 10 + 5/5
= 5/5
= 1
Hence the mean of the integers is 1
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Shortest
3.09 miles
3.75 miles
3.9 miles
3.5 miles
3.05 miles
Longest
Answer:
Okie Dokie
Step-by-step explanation:
short to long
3.05 < 3.09 < 3.5 < 3.75 < 3.9
The shortest distance is 3.05 miles, while the Longest is 3.9 miles.
What is the value in ordering number according to their measure?
Ordering numbers according to their measure allows us to arrange them in increasing or decreasing order, providing a systematic way to compare and analyze their magnitudes.
Arranging the given distances from shortest to longest -
3.05 miles
3.09 miles
3.5 miles
3.75 miles
3.9 miles
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Tyrone biked 45 miles at an average speed of 18 miles per hour, without stopping. About how long did the ride take him? Use the formula t equals d over r
Answer: 2 1/2 hours
Step-by-step explanation: 45/18 = 2 1/2
Use the given values on the table to determine a pattern and complete the table.
1st - -15
2nd- -8
3rd- -1
4th - 6
5th - ?
6th - ?
7th - ?
8th - ?
Answer:
5th - 13
6th - 20
7th - 27
8th - 34
Step-by-step explanation:
You add seven
There are 3 less than twice as many cats than dogs in the local animal shelter. If there are 210 cats and dogs
combined, how many dogs are in the animal shelter?
71 dogs
70 dogs
76 dogs
80 dogs
Answer: 71 dogs ==> 1st option
Step-by-step explanation:
c=cats. d=dogs.
2d-3=c
d+c=210
d+2d-3=210
3d-3=210
3d=213
d=71 dogs ==> 1st option
Find the volume of the solid generated by revolving the region r bounded by y=e^-2x, y=0, x=0, x=ln9
The volume of the solid generated by revolving the region R bounded by
y = [tex]e^{-2x}[/tex], y = 0, x = 0, x = ln 9 around x-axis = 0.25 cubic units
Given the region R bounded by y = [tex]e^{-2x}[/tex], y = 0, x = 0, x = ln 9.
We will find the volume of the solid obtained by revolving this region around the x-axis through disc integration method.
The disc integration method is used to find the volume of a solid obtained by revolving a region around an axis parallel to x-axis.
Then, volume, V = [tex]\int\limits^0_{ln9} {y^2} \, dx[/tex]
= [tex]\int\limits^0_{ln9} {(e^{-2x})^2} \, dx[/tex]
= [tex]\int\limits^0_{ln9} {e^{-4x}} \, dx[/tex]
= [tex]\frac{e^{-4x}}{-4} |_{x=0\ to \ x=ln9}[/tex]
= [tex]\frac{e^{-4 ln9}}{-4} +\frac{1}{4}[/tex]
= [tex]\frac{9^{-4}+1}{4}[/tex] ≈ 0.25 cubic units
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An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. using for distance in kilometers and for number of hours, an equation that represents this situation d=50t is .
Speed is the constant of proportionality for the relationship between distance and time.
Relationship between these two values is distance is directly proportional to time .
As given,
Distance =400 kilometers
Time=8 hours
Let s, d, and t represents speed, distance and time.
Speed = d / t
= 400/8
= 50 km/ hour
= constant
Hence ,
d = 50t
⇒ d ∝ t
Therefore, speed is the constant of proportionality for the relationship between distance and time.
Relationship between these two values is distance is directly proportional to time .
The complete question is:
An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. using for distance in kilometers and for number of hours, an equation that represents this situation d=50t.
What are two constants of proportionality for the relationship between distance in kilometers and number of hours? What is the relationship between these two values?
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let f(x)= 7x-2 and g(x)= sqrt (x) + 2x. what are (f+g)(x) and (f-g)(x)?
Answer:
• [tex](f+g) (x)[/tex] = [tex]9x + \sqrt{x} -2[/tex]
• [tex](f-g)(x)[/tex] = [tex]5x - \sqrt x - 2[/tex]
Step-by-step explanation:
[tex]f(x) = 7x - 2[/tex]
[tex]g(x) = \sqrt{x} + 2x[/tex]
To calculate [tex](f+g) (x)[/tex] and [tex](f-g)(x)[/tex], we have to add and subtract [tex]f(x)[/tex] and [tex]g(x)[/tex] respectively:
• [tex](f+g) (x)[/tex]
⇒ [tex]f(x) + g(x)[/tex]
⇒ [tex]7x - 2 \: + \sqrt{x} + 2x[/tex]
⇒ [tex]9x + \sqrt{x} -2[/tex]
• [tex](f-g)(x)[/tex]
⇒ [tex]7x - 2 - (\sqrt x + 2x)[/tex]
⇒ [tex]7x - 2 - \sqrt x - 2x[/tex]
⇒ [tex]5x - \sqrt x - 2[/tex]
a 2 yard piece of aluminum wire cost $16.44 what is the price per foot?
Answer: The price per foot will be 2.74$
Step-by-step explanation:
what is the relation between yard and foot?
The value of one yard is equal to3 feet.
That is given by ,
1 yard =3 feet.
we have 2 yards piece of aluminium wire
Firstly,we have to find the cost of 2 pieces of aluminium wire.
2×3=6
The cost is 16.44
16.44/6=2.74.
Therefore the price per foot will be $2.74.
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Answer:2.74
Step-by-step explanation ; firstly we have to find the cost for 2 pieces of wire . 2×3≈6. the cost is 6. 16.44÷6=2.74. therefore the price per foot will be 2.74..How many gallons of hydrochloric acid must be added to
12 gallons of a 30% solution to obtain a 40% solution
Answer:
5.6
Step-by-step explanation:
.30*12+x=.40(12+x)
3.6+x=4.8+.40x
x-.40x=4.8-3.6
.6x=1.2
x=1.2/.6
x=2 gallons of acid needs to be added.
Proof:
.30*12+2=.4(12+2)
3.6+2=.4*14
5.6=5.6
The puppy shelter where Clara works is moving to a new building. The rooms in the new building are built to hold 6 puppies each. Clara needs to figure out how many rooms she'll need to house a total of 78 puppies.
Use an equation to find the number of rooms Clara needs.
Answer:
Equation: 6x = 78Rooms: 13Step-by-step explanation:
Let the number of rooms is x.
Each room is built to hold 6 puppies, so x rooms hold 6x puppies.
The equation for this is:
6x = 78x = 78/6x = 13And the solution is 13 rooms.
4. You bought a new car worth $32,000. Each year the value of the car depreciates by
6%. What will be the value of the car at the beginning of the tenth year of owning it?
(rounded to the nearest hundredth.)
12800
Step-by-step explanation:
you should find 6 percent on 32000 and multiply it by 10 to see the value it lost in 10 years then subtract that from 32000 for the final answer :)
Are any of the subsets of the real number system (real numbers, whole numbers, integers, rational
numbers, or irrational numbers) not closed under multiplication? Which onest Explain why
Step-by-step explanation:
If you multiply two real numbers, you will get another real number. There is no possibility of ever getting anything other than another real number.
Among the subsets of the real number system, the set of irrational numbers is not closed under multiplication.
We have,
Real Numbers: The set of real numbers is closed under multiplication. When you multiply two real numbers, the result is always a real number. For example, multiplying any two real numbers, such as 3.14 and 2.5, gives 7.85, which is also a real number.
Whole Numbers: The set of whole numbers is closed under multiplication.
When you multiply two whole numbers, the result is always another whole number. For example, multiplying 3 and 5 gives 15, which is also a whole number.
Integers: The set of integers is closed under multiplication.
When you multiply two integers, the result is always another integer.
For example, multiplying -4 and 7 gives -28, which is also an integer.
Rational Numbers: The set of rational numbers is closed under multiplication.
When you multiply two rational numbers, the result is always another rational number.
A rational number can be expressed as a fraction p/q, where p and q are integers and q is not zero.
When you multiply two fractions, the numerator and denominator are both integers and as long as the denominator is not zero, the result will still be a rational number.
However, the set of irrational numbers is not closed under multiplication.
An irrational number is a number that cannot be expressed as a fraction of two integers.
When you multiply two irrational numbers, the result may or may not be irrational.
Example:
√2 (square root of 2) is an irrational number, and √2 * √2 = 2, which is a rational number (integer 2).
So, the product of two irrational numbers (√2 * √2) is a rational number, not an irrational number.
Thus,
All subsets of the real number system (real numbers, whole numbers, integers, and rational numbers) are closed under multiplication, except for the subset of irrational numbers, which is not closed under multiplication.
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Ralph's grandmother was born in 1925. ralph was born in 1990. if both ralph and his grandmother took the intelligence quotient (iq) test, who would most likely get more items correct?
Ralph would most likely get more items correct than his Grandmother.
If both Ralph and his Grandmother took the Intelligence Quotient i.e., IQ test, then Ralph would most likely get more items correct than his Grandmother. This is due to Flynn Effect.
Flynn Effect refers to secular increase in population intelligence quotient observed throughout the 20th century. It demonstrates that the average of the IQ scores will change as varying generations have different thresholds for what intelligence is necessary.
Flynn Effect is documented by Flynn in a study on intelligence quotient. As Ralph's grandmother was born on 1925 and Ralph was born in 1990, so they have a generation gap of almost six decades. That is why Ralph will have a higher IQ than his grandmother.
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The process of measuring, analyzing, enhancing, and then controlling processes once they have been brought within the narrow six sigma quality tolerances or standards is referred to as the:______.
The process of measuring, analyzing, enhancing, and then controlling processes once they have been brought within the narrow Six Sigma quality tolerances or standards is referred to as the
Six Sigma process
What is Six Sigma?The phrase "Six Sigma" refers to a collection of quality-control methods that organisations can utilise to get rid of flaws and enhance operations so as to increase productivity and revenues. A scientist created it in the 1980s while he was employed by Motorola.
A statistical and data-driven technique called Six Sigma examines small errors or flaws. It places a focus on cycle-time gains while lowering manufacturing faults to no more than 3.4 incidents per million units or events. The fact that only 3.4 out of a million events along a bell curve will deviate by more than six standard deviations indicates that an error usually occurs with an event that deviates by six standard deviations from the mean.
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Write 863.141 in expanded form.
ARITHMATIC SEQUENCE
Grade 11 - one question
Answer:
a₁ = - 11 and d = 3
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
given S₄₀ = 1900 , then
S₄₀ = [tex]\frac{40}{2}[/tex] [ 2a₁ + 39d ] = 1900 , that is
20(2a₁ + 39d) = 1900 ( divide both sides by 20 )
2a₁ + 39d = 95 → (1)
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
given a₄₀ = 106 , then
a₁ + 39d = 106 → (2)
subtract (2) from (1) term by term to eliminate d
a₁ + 0 = - 11 , so
a₁ = - 11
substitute a₁ = - 11 into (2) and solve for d
- 11 + 39d = 106 ( add 11 to both sides )
39d = 117 ( divide both sides by 39 )
d = 3
in a right trinagle the length of a hypotenuse is 20 inches long and the length of one length is 15 inches
Length of the other leg is 13.23 inches.
Pythagoras theorem states that the square of the length of hypotenuse is equal to sum of the squares of other two legs.Hence if L is the length of the other leg in inches, then20^2=5^2+l^2
or
400=225+L^2
or
L^2=400−225=175
Hence L=√175=13.23
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Rani is making rice pudding. She uses
cup
cup of white rice for every 2 cups
of milk. How many cups of rice does she need when she uses 3 cups of
milk?
Rani will use 3/2 cups of white rice for 3 cups of milk.
What is termed as unitary method?"It is a method in which we obtain the value of a single unit by subtracting the value of multiple units and thus the value of multiple units by subtracting the value of a single unit."
The value of several things is given in the unitary method, and we must either figure out the significance of more or lesser things. To do so, we must first determine the value of one item by division and then determine the value of ever more or fewer items by multiplication.Now, for the given question;
1 cup of white rice is required for every 2 cups of milk by Rani.
Thus,
2 cups of milk ------> 1 cup of white rice.
So, using unitary method. Divide both side by 2.
1 cups of milk ------> 1/2 cup of white rice.
Now, calculate for the 3 cups of milk.
multiplying both side by 3.
3 cups of milk ------> 3/2 cup of white rice.
Therefore, the 3/2 cups of white rice required for the 3 cups of milk.
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Solve for a. Express your answer in simplest radical form if necessary.
Answer: =
√
شه دار
= 144
Answer:
12
Step-by-step explanation:
√144 = 12
A hiker first hiked down into a canyon 1,345 feet below sea level. She then hiked 950 feet up the side of a mountain. What was the final altitude of the hiker?
The final altitude of the hiker 395 feet.
How to compute the value?From the information, the hiker first hiked down into a canyon 1,345 feet below sea level and she then hiked 950 feet up the side of a mountain.
This will be:
= -1345 + 950
= 395
Therefore, the final altitude of the hiker 395 feet.
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I need help on the problem i'm stuck
The number of hours Becky took to finish typing the essay is 3 hours.
What is division?A division is a process of splitting a specific amount into equal parts.
We have,
Number of words in the essay = 4,100
Becky can type 20 words per minute.
Becky has already typed 500 words.
So the remaining words are:
= 4,100 - 500
= 3,600
Now,
The number of hours to complete 3,600 words:
= 3,600 minutes / 20
= 180 minutes
We know that,
1 hour = 60 minutes
3 hours = 180 minutes
= 3 hours
Thus the number of hours Becky took to finish typing the essay is 3 hours.
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hi, please help with these questions. i’ve attempted them but i am not too sure if they’re correct. thank you.
Let the number of sweets Mrs. Chua has be x
And the number of children be y
So,
x-8y=3 ------- 1️⃣
x-9y= -2 ------- 2️⃣
Change the signs of equation 2️⃣
x-8y=3
+x-9y=-2
- + +
__________
y = 5 ----- 3️⃣Substitute equation 3️⃣ in equation 1️⃣ :
[tex] \sf \: x - 8y = 3[/tex]
[tex] \sf \: x - 8 \times 5 = 3[/tex]
[tex] \sf \: x - 40 = 3[/tex]
[tex] \sf \: x = 3 + 40[/tex]
[tex] \tt \: x = 43[/tex]
Therefore, The total number of children i.e. y is 5 and the total number of sweets Mrs. Chua i.e. x is 43...
The extra number of sweets required by Mrs. Chua is 2 because when each child gets 9 Mrs Chua has 2 sweets short...what is 2 -x/15=-3 pls give in step by step explatorn or do work in paper
Answer:
2 + -x/15 = -3 the answer is x = 75Step-by-step explanation:
2+-x15 = -3
15.2 2 /15 -x =3
30 -x /15 = -3 x= 75
50 pts to whoever solves this for me
What's a verbal expression
If the equation ax = b is consistent, then its solution set is obtained by translating the solution set of ax = 0. true or false?
True, ax=b requires only one solution to be homogeneous. If ax=b is consistent, the ax=b solution set is acquired by translating the ax=0 solution set.
What is consistent?A two-linear equation system can have one solution, an infinite number of solutions, or even no solution. The number of solutions distinguishes equation systems.
Some key features regarding the consistent are-
A system is said to be consistent if it has at least one solution.A consistent system is independent if it has exactly one solution.It is dependent if a consistent system does have an infinite number of solutions. When the equations are graphed, they constitute the same line.A system is considered to be inconsistent if it has no solution. Because the line graphs do not intersect, the graphs are parallel, and that there is no solution.Therefore, if the equation ax=0 has a trivial solution, the columns of the a matrix A are linearly independent.
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I need this answer ASAP I will for real pay you just please help me out
The water level in Colorado river is 2.55 m below average. a large rainfall caused The water level to rise 0.8 m. what is the water level after the rainfall?
The water level after the rainfall in the Colorado River is 3.35 meters.
How is the water level determined?The water level after the rainfall can be determined using the mathematical operation of addition.
A mathematical operation changes the output value of some input values.
For instance, adding 0.8 to 2.55 results in 3.35 meters of the height of the Colorado River after the rainfall.
Data and Calculations:The average water level in the Colorado River = 2.55 m
Increase in water level following the large rainfall = 0.8 m
New water level after the rainfall = 3.35 M (2.55 + 0.8)
Thus, the water level after the rainfall in the Colorado River is 3.35 meters.
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If the prices of bananas is Mexico were 34 Peso per kilogram, what would be the price in
USD per pound. Use 1 kg = 2.205 pounds and 1 Peso = 0.04574 USD.
Round your answer to two decimal places.
The price of a banana is 0.71 (after round off) USD per pound.
Here the price of a banana in Mexico was 34 pesos per kilogram.
price of a banana in Mexico = 34 pesos per kilogram
We are provided with the following information,
1 kg = 2.205 pounds,
and 1 Peso = 0.04574USD
We have to find the price in USD per pound,
So we have,
=(34 × 0.04574 )÷ 2.205
= 0.7105 USD per pound
= 0.71 USD per pound (after round off)
Therefore the price of a banana in UDS per pound is 0.71 ( after round off) .
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Please i need help i don't understand
Answer:
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign
Step-by-step explanation:
