The value of 4 gal 6 qt 112 oz expressed in standard notation is; 6.375
How to express in Standard Notation?
Standard notation of a number is defined as when a number is written with only number digits. This is the typical way to write numbers since words are not used in standard number notation.
Now, from conversions, we know that;
1 oz = 0.0078125 gallons
1 qt = 0.25 gallons
Thus, 4 gal 6 qt 112 oz expressed in gallons is;
4 + (6 * 0.25) + (112 * 0.0078125)
= 4 + 1.5 + 0.875
= 6.375
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a runner does a lap on the track for every 5 minutes. he start at 4:15 p.m. if he rest every 3 minutes what time will he complete the fourth lap
Answer: 4:42
Step-by-step explanation:
What is the quotient of negative 210 over negative 15?
The quotient of A = - 210 and B = - 15 is 14.
What is Euclid's Division Lemma ?The Euclid's Division Lemma says when a number 'a' is divided by a number 'b' gives the quotient to be 'q' and the remainder to be 'r' then the following relation -> a = bq + r exists, where 0 ≤ r < b.
Dividend [a] = Divisor [b] × Quotient [q] + Remainder [r]
Given two numbers A = - 210 and B = - 15
The resultant quotient when A is divided by B can be calculated using Euclid's division lemma. Initially, we will assume remainder [r] = 0.
If the quotient is in decimals, we will change the remainder according to it else if the quotient is a whole number, the remainder will remain 0.
Using Euclid's division lemma -
Dividend [a] = Divisor [b] × Quotient [q] + Remainder [r]
- 210 = - 15 x q + 0
- 210 = - 15 x q
q = - 210 / - 15 = 14
Since, the quotient is a whole number, the remainder will remain zero.
Therefore, the quotient of A = - 210 and B = - 15 is 14.
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The table below shows the frequency distribution of the rainfall on 52 consecutive saturdays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal?
Looking at the histogram in C(3rd) we know that it is not symmetric. We can not(can’t) say that it is approximately normal. Hence, C is the correct answer.
What is a histogram?
A histogram is a graph that shows the frequency of numerical data using blocks. The height of a cube( the perpendicular axis) represents the distribution frequency of a variable( the quantum, or how frequently that variable appears). A histogram is a graphical display of data using bars of different heights. In a histogram, each bar groups figures into ranges. high bars show that further data falls in that range. A histogram displays the shape and spread of nonstop sample data. Histograms fantasize quantitative data or numerical data, whereas bar maps display categorical variables.From the frequency table, we get the frequency of the first class is 20(twenty), and for the second(2) class it is 10(ten) also the remaining frequencies are correctly shown by the histogram shown in option C.
Hence, C is the correct(right) answer.
Looking at the histogram in C(3rd) we know that it is not symmetric. Hence we can not(can’t) say that it is approximately normal.
Hence C. No it is not symmetric is the correct(right) answer.
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MODELING REAL LIFE Bowling alley A charges $3.75 to rent shoes and $4 per game. Bowling alley B charges $2.50 to rent shoes and $4.50 per game. a. For what numbers of games is the total cost, including a pair of rental shoes, less at bowling alley A? at bowling alley B? Bowling alley A: ___ or more games. Bowling alley B: ___ or___ games .
b. Bowling alley A increases the cost per game by $0.50. How does this affect your answer in part (a)? Explain.
The numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;
Bowling alley A: 5 or more games.
How to solve inequality word problems?Bowling alley A;
Their charges per game is $4 per game
Charges to rent shoes is $3.75
If number of games is x, then we have;
Total Cost = 3.75 + 4x
Bowling alley B;
Their charges per game is $4.50 per game
Charges to rent shoes is $2.50
If number of games is x, then we have;
Total Cost = 2.5 + 4.5x
Now, for the total cost, including a pair of rental shoes, less at bowling alley A, it means that;
2.5 + 4.5x > 3.75 + 4x
Rearrange to get like terms gives;
4.5x - 4x > 3.75 - 2.5
0.4x > 1.25
x > 1.25/0.4
x > 3.125
Thus, the numbers of games that makes the total cost, including a pair of rental shoes, less at bowling alley A is;
Bowling alley A: 5 or more games.
B) Bowling alley A increases the cost per game by $0.50. Thus, the inequality is now;
3.75 + 4.5x > 2.5 + 4.5x
This means that the total cost will now always be greater at Bowling alley A
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Which expression is equivalent to , if y ≠ 0?
A.
B.
C.
D.
Answer:
is there more??? i don't have a enough info
Step-by-step explanation:
What is the perimeter of quadrilateral EFGH?
Answer:
54 units
Step-by-step explanation:
From G to H, use the Pythagorean Theorem:
[tex]3^2+4^2=\sqrt{25} =\fbox{5}[/tex]
From G to F, just count:
[tex]\fbox{11}[/tex]
From H to E, use the Pythagorean Theorem:
[tex]12^2+5^2=\sqrt{169}=\fbox{13}[/tex]
From F to E, use the Pythagorean Theorem:
[tex]15^2+20^2=\sqrt{625}=\fbox{25}[/tex]
Now, add up all the answers:
[tex]5+11+13+25=\fbox{54}[/tex]
3. Clearcut Lumber sells its dimensional lumber with a markup of 60%
What rate of margin do they use?
A batch of plywood sells for $500 what was the cost?
Fence posts with a cost of $10 would sell for how much?
The gross profit on the sale of some 4 by 4's was $50 what was the selling price?
The rate of margin used is 37.5% . The cost price of the batch of plywood is $312.5. Fence post sell for $16. The selling price was $133.33
Margin is the difference between the Selling price and the cost price. The price at which a item is sold is called the selling price and the price at which an item is bought is called the cost price.
The given markup is 60%.
We know that margin=markup÷(1+markup)
markup=60%
Substituting the values we get the rate of margin:
[tex]=\frac{\frac{60}{100} }{1+\frac{60}{100} } \\=\frac{60}{160}\\ =37.5[/tex]
Hence the rate of margin is 37.5 %.
Selling price for the plywood=$500
We know that selling price=cost price ÷(1-margin)
Let the cost price be x
[tex]x=500(1-\frac{37.5}{100} )\\x=312.50[/tex]
The cost price is $ 312.50 .
Now cost of fence = $10
Selling price of fence=cost price÷(1-margin)
substituting the values we get:
Selling price =10÷0.625
or, selling price= $16
Therefore the selling price is $16 .
Now we know that Markup percentage= profit÷ cost price
Substituting the values we get:
[tex]60\% = \frac{50}{CP}\\or,\frac{60}{10}=\frac{50}{CP}\\or,CP=83.33[/tex]
Therefore sell price=cost price+ profit
or, sell price=83.33+50
or, sell price =133.33
The sell price is $133.33
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Determine whether the following argument is inductive or deductive:
"The last mayor was honest. The current mayor is honest. All mayors are honest."
Answer:
Inductive
Step-by-step explanation:
The given argument presented is an example of inductive reasoning.
What is inductive reasoning?Inductive reasoning entails drawing broad generalizations based on a small number of observations, and the conclusion is not necessarily guaranteed to be correct, but simply likely based on the data.
The argument presented is an example of inductive reasoning, because it is based on a specific observation and a generalization that goes beyond the available evidence.
While the previous and current mayors may be honest, based on this limited evidence, it is not necessarily true that all mayors are honest.
The argument makes the assumption that the honesty of these two persons is indicative of all mayors, which is a conclusion based on little evidence.
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A salesperson earns a commision of $480 for selling $3000 in merchandise. Find the commission rate. Write your answer as a percentage.
Answer:
16%
Step-by-step explanation:
Commission = Rate of commission * Total sales
So, Rate of commission = Commission/Total sales
x = Rate of commission
x = 480/3000
x = 0.16
x as percentage = 0.16 * 100
x as percentage = 16%
Find the quotient of 32×10-22 over 8×10-22
Answer:
5 4/29
Step-by-step explanation:
Rewrite as 298/58 and do the math
Solve for n
s = 4n+4v
We get the equation in terms of n as n = s / 4 - v.
Equation:
An equation is an expression with an equal sign.
For example:
3 x + 4 y = 5
2 x + 5 y = 9 etc.
We are given an equation:
s = 4 n + 4 v
We have to solve this for n.
First we will subtract 4 v from both sides:
s - 4 v = 4 n + 4 v - 4 v
s - 4 v = 4 n
4 n = s - 4 v
Now divide both the sides by 4:
4 n / 4 = (s - 4 v) / 4
n = s / 4 - v
Therefore, we get the equation in terms of n as n = s / 4 - v.
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ng Task 4. Select appropriate numbers divisible by 2, our answer on your notebook. isible by 2 Divisible by 5 105 238 400 906 260 360 450 745 110 270 110 565 105 85 390 210 Divisible E 260 390 450 400 400 110 775 260 450 210 105 54 450 270 210 766 183 553 365 390 775 906 34 260 745 745 400 438 321 238 85 360 110 565 347
Answer:
238, 400, 906, 360, 450, etc. and all numbers ending in 0, 2, 4, 6, 8.
Step-by-step explanation:
All even numbers are divisible by 2.
An even number is an integer whose ones digit is a 0, 2, 4, 6, o5 8.
PLS HELP -8+13+(-13)!!!!
Answer:
-8
Step-by-step explanation:
Given the following question:
-8 + 13 + (-13)
Use PEMDAS to solve this question:
13 + (-13) = 0
-8 + 0 = -8
= -8
Hope this helps.
Hello..!
[tex] \: \: \ \: \: \: \: \: \: \: \: \: \: \ \sf \red{ - 8 + 13 + ( - 13)}[/tex]
[tex] \blue{\underline{ \green{ \underline{\sf \green{Explantation: }}}}}[/tex]
First, to solve the problem we take into account the Law of Signs:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \green{\underline{ \blue{\underline{ \red{\sf Law \: of \: \: Signs:}}}}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \times + = - [/tex]
Once we have the law of signs, we will eliminate the parentheses to subtract, taking into account the law of signs
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \green{ - 8 + 13 - 13}[/tex]
Then we must subtract knowing that when there is a minus and a plus it is automatically minus
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \blue{- 5 - 13}[/tex]
Well, now we will subtract the only thing we have left, which in this case is 5 -13, which gives us -8
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: The \: \: result \: \: is \: \: from \\ \: \: \: \: \: \: \: \sf \green\longmapsto \pink{ - 8}[/tex]
¿Doubts? in the comments
Determine the sum of (8x1 – x + 4) and (3x + 5)
Answer:
x = 1/9
Step-by-step explanation:
8x¹ - x +4 can be also written as 7x + 4 or 7x = -4
And 3x + 5 can be written as 3x = -5
So,
7x = -4
-(3x = -5)
4x = 1
x = 1/9
find the quotient 17 ÷ 6 8/10
The ratio of EQUATION the outcome is (17/6)/(8/10) = 3.5416667.
What in mathematics is a quotient?The quotient is the result of dividing two numbers by each other. As in the case of 8 4 = 2, when the division produced the number 2, the outcome is the quotient. The dividend is 8 and the divisor is 4.
based on the available facts;
Divide: 17/6 : 8/10
= 17/6· 10/8
= 17 · 10/6 · 8
= 170/48
= 85/ 24
= 85/24
When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal value. Finding the reciprocal of the second fraction is the first sub-step. For example, the reciprocal of 8/10 is 10/8. Multiply the two numerators after that. Multiply the two denominators after that. The intermediate step that comes after canceling by a common factor of 2 yields 85/24.
Therefore, eight tenths of seventeen sixths equal eighty-five twenty-fourths.
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Write 0.641 as a fraction in simplest form
Write the number as a fraction of 1 (one):
0.641 = 0.641/1Simultaneously multiply the numerator and denominator by 10 as many times as the digits after the comma (separation between the integer part and the fractional part of the number):
Since we have 3 numbers after the comma, multiply the numerator and denominator by 1000. So,
0.641/1 = (0.641 x 1,000)/(1 x 1,000) = 641/1,000.Note that multiplying by 10 is the same as moving the decimal point one place to the right.
Once this fraction is irreducible, that is, it is in reduced form, we can no longer simplify it. The answer is the previous fraction.
Skandar
What are the coordinates of (-4,-2) rotating 90° counterclockwise?
Answer:
(2, -4)
Step-by-step explanation:
The rotation of an object turns the object around a fixed point called the center of rotation.
A rotation of 90° counterclockwise means:
A 90° rotation counterclockwise with the origin (0, 0) as the center of rotation.
The rule for a counterclockwise rotation of 90° about the origin is:
(x, y) → (-y, x)
Therefore:
(-4, -2) → (2, -4)
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I sent an attachment
The price of a computer is 899.00. The sales tax is 7%. What is the sales tax on this computer in dollars and cents?
Answer:
$62.93
Step-by-step explanation:
Convert 7% to a decimal and multiply by the price:
$899.00 x .07 = $62.93
____________________________________________________________
______________________________
E 2
2 + 1 + 7
I GOT BORED AGAIN HELP ME
Answer:
10.
Step-by-step explanation:
Add them together.
Answer:
2 + 1 + 7 = 10
Step-by-step explanation:
This is actually easy.
Use the definition of complementary angles to solve for x.
Answer:
x = 4 and x = 7
Step-by-step explanation:
→ Find the sum of both the angles
3x + x + 74 = 4x + 74
6x + x + 13 = 7x + 13
→ Equate both equations to 90
4x + 74 = 90
7x + 13 = 90
→ Minus 74 and 13
4x = 16
7x = 77
→ Divide by 4 and 7 respectively
x = 4 and x = 7
Parcels contain 6 magazines and 4 books. How many parcels can be made from 290 magazines and books?
29 parcels can be made from 290 magazines and books
How many parcels can be made from 290 magazines and books?The given parameters are
1 parcel = 6 magazines and 4 books
This can be rewritten as:
1 parcel = 10 magazines and books
For 290 magazines and books, we have
x = 290 magazines and books
This means that
x = 290 magazines and books
1 parcel = 10 magazines and books
Cross multiply
x * 10 = 290 * 1
This gives
x = 29
Hence, 29 parcels can be made from 290 magazines and books
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What is the volume of a right rectangular prism that is packed with 300 1/5-foot cubes?
The volume of the right rectangular prism = 2.4 ft³
How to Find the Volume of a Cube?A cube is a three dimensional shape that has equal edges and sides. The volume of a cube is calculated as:
Volume = a³, where a is the side length of the cube.
Given:
Side length of one cube (a) = 1/5 ft
Volume of one cube = (1/5)³ = 1/125 ft³
The right rectangular prism has 300 of these cube. Therefore:
Volume of the right rectangular prism = 300 × 1/125
Volume of the right rectangular prism = 300/125
Volume of the right rectangular prism = 2.4 ft³
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PLEASE ANSWER THIS QUESTION QUICKLY!
Solve by factoring:
2(m-1)^2-11(m-1)+5=0
Give either of the two solutions.
Rules answering these questions:
Show your work!
Explain your answer!
Nonsense answer will be reported and delete your answer!
Do not spam answers!
Thanks!
You throw a fair six-sided die twice, each number has the same probability,
then add the two numbers. What is the probability of getting a number
divisible by five ?
The probability of getting a number divisible by five is 1 / 9.
We are given that:
a fair six-sided die is thrown 2 times.
Sample space will be:
S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Let E = probability of getting a number divisible by five
Possible outcomes:
= { (1, 4), (2, 3), (3, 2), (4, 1) }
P(E) = 4 / 36 = 1 / 9
Therefore, the probability of getting a number divisible by five is 1 / 9.
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I NEED HELP WITH MY HOMEWORK SOMEONE HELP PLS
Answer:
No
Step-by-step explanation:
The question is asking for difference which is another term for subtraction.In that regard Amy is correct, however the question asks for the difference between 3 and -5 which means she'd have to subtract 3 from -5 not the other way around.
A crab moves at a speed of 0.14 kilometers per hour. How far can it travel for 0.25 hours?
Answer:
0.14×0.25= 0.035 KM
so it can travel 0.035KM in 0.25 hr
Answer:
0.035 kilometers
Step-by-step explanation:
Proportions:
0.14 kilometers ⇒ 1 hour
A kilometers ⇒ 0.25 hour
A = 0.14 kilometers * 0.25 hour / 1 hour
A = 0.035 kilometers
what is the nth term of 1, 3, 9
Answer:
3ⁿ
Step-by-step explanation:
The nth term is:
3ⁿ
x/2+3=x+6 solve for x, thank you please!
Answer:
x= -6
Step-by-step explanation:
x/2+3=x+6
We have to isolate the variable.
x/2+3=x+6
-x -x
-x/2+3=6
-3 -3
-x/2=3
-0.5x=3 To get to the answer we need to get to x. To get to x from -0.5x we multiply each side by -2
x=-6
