From a 20-foot roll of rubber hose, a person cuts lengths of 7 3/8 feet, 7 1/2 feet, and 2 1/4 feet. How much hose is left on the roll?The amount of hose left on the roll is ___ feet.
Answers
The amount of hose left on the roll will be
\(=\text{amount originally on the hose - the amount of hose cut out}\)The amount of hose before usage = 20 feet
The amount cut out is
\(\begin{gathered} =7\frac{3}{8}ft+7\frac{1}{2}ft+2\frac{1}{4}ft \\ =7+7+2+\frac{3}{8}+\frac{1}{2}+\frac{1}{4} \\ =16+\frac{3+4+2}{8} \\ =16+\frac{9}{8} \\ =16+1\frac{1}{8} \\ =17\frac{1}{8}ft \end{gathered}\)The amount left remaning will be
\(\begin{gathered} 20ft-17\frac{1}{8ft} \\ =\frac{20}{1}ft-\frac{137}{8}\text{ft} \\ =\frac{160-137}{8}ft \\ =\frac{23}{8}ft \\ =2\frac{7}{8}ft \end{gathered}\)Hence ,
The amount of rubber hose left after cutting out from it is
\(=2\frac{7}{8}ft\)Related Questions
Jerry plays tennis once every 6 days. Sam plays tennis every 10 days and Leo comes once every 12 days. This Monday all of them played.
a
How many days after this Monday will all of them meet at the tennis court again?
Answers
Answer:
They will all meet at the tennis court again in 60 days after this Monday.
Step-by-step explanation:
When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.
In this question:
Jerry each 6 days.
Sam each 10 days.
Leo each 12 days.
Multiples of 6: {0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...}
Multiples of 10: {0, 10, 20, 30, 40, 50, 60, ...}
Multiples of 12: {0, 12, 24, 36, 48, 60,...}
The lesser common multiple is 60.
So
They will all meet at the tennis court again in 60 days after this Monday.
What is the place value of 1 of 574.8931.
Answers
s-1=10 i need help pls
Answers
Answer:
S=11
Step-by-step explanation:
We know that we need to subtract a number from
1 to get 10, so 11 - 1 = 10
Hope this helps!
Answer: 11 is your answer
Step-by-step explanation:
Add 1 to both sides
-1 cancels out and the 10 becomes 11
so S = 11
pls help thanks alot
Answers
Answer:
A, C, D
Step-by-step explanation: the side of the > that has the opening is the side that should have the greater number, so if its like answer A its true
If 12.6cm on the map is equal to 1262km in real life, determine the unit scale of the map
Answers
Answer:
1unit scale on map is equal to 100.16 km in real life
Step-by-step explanation:
since in map 12.cm =1262km in real life
1cm=(1262/12.6) km
therefore it gives us 100.158km which is approximately 100.16 km .
Solve for h. What is h?
Problem 20h=2
Answers
Answer:
h=1/10
Step-by-step explanation:
Rectangles abcd and klmn are similar. If their permitted are 20 and 16, and the area of the larger rectangle is 25, what is the area of the smaller rectangle?
Answers
The area of the smaller rectangle (KLMN) is 16.
Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.
Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.
We can set up the proportion:
(x/y) = (20/16)
To find the area of the smaller rectangle, we need to determine the ratio of their areas.
Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:
(Area of ABCD)/(Area of KLMN) = (x²)/(y²)
We are given that the area of ABCD is 25, so we have:
25/(Area of KLMN) = (x²)/(y²)
To find the area of KLMN, we need to substitute the values of x and y from the proportion:
25/(Area of KLMN) = (20/16)²
Simplifying the right side:
25/(Area of KLMN) = (5/4)²
25/(Area of KLMN) = 25/16
Cross-multiplying:
25 × 16 = 25 × (Area of KLMN)
400 = 25 × (Area of KLMN)
Dividing both sides by 25:
16 = Area of KLMN
Therefore, the area of the smaller rectangle (KLMN) is 16.
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Toss 3 dice. What's the probability that a 4 will come up exactly twice?
Answers
Answer:
\(\bold{\dfrac{1}{12}}\)
Step-by-step explanation:
The dice is rolled 3 times.
To find:
The probability that a 4 will come up exactly twice = ?
Solution:
Let 4 comes up exactly twice, let the third number be \(x\).
The possible outcomes can be:
(\(x\), 4, 4) where \(x\) can be any number between 1 to 6 , so 6 outcomes.
(4, \(x\), 4) where \(x\) can be any number between 1 to 6 , so 6 outcomes.
(4, 4, \(x\)) where \(x\) can be any number between 1 to 6 , so 6 outcomes.
So, the total number of favorable outcomes possible = 6 + 6 + 6 = 18
Total number of outcomes that can be possible at roll of 3 dice:
6 \(\times\) 6 \(\times\) 6 = 216
Formula for probability of an event E is given as:
\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)
\(P(\text{exact 2 fours}) = \dfrac{18}{216}\\\Rightarrow \bold{P(\text{exact 2 fours}) = \dfrac{1}{12}}\)
Solve the compound inequality.
4x-5<-2 or x+1>3
Answers
The solution of the compound inequality is x < 3/4 or x >2.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
A compound inequality:
4x - 5 < -2 or x + 1 > 3.
Solving inequality,
4x < -2 + 5 or x > 2
4x < 3 or x > 2.
x < 3/4 or x >2.
Therefore, the solution is x < 3/4 or x >2.
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Help please
Condense to a single logarithm is possible
In(6x^9)-In(x^2)
Answers
The expression can be condensed to a single logarithm as: In(6x^9) - In(x^2) = In(6x^7)
Condensing to a single logarithm is possibleWe can use the quotient rule of logarithms, which states that:
log(base a)(b) - log(base a)(c) = log(base a)(b/c)
Using this rule, we can simplify the expression as:
In(6x^9) - In(x^2) = In(6x^9/x^2)
Now, we can simplify the expression inside the logarithm by dividing 6x^9 by x^2:
In(6x^9/x^2) = In(6x^7)
Therefore, the expression can be condensed to a single logarithm as: In(6x^9) - In(x^2) = In(6x^7)
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3. Given the directed line segment AB, with endpoints A20, 6) and B(-16, 50), find the point Q
that partitions this segment into a 1:1 ratio.
Answers
The point Q that partitions the line segment is Q(2,28)
Given that the directed line segment AB, with endpoints A(20, 6) and B(-16, 50) and divide the segment into a 1:1 ratio.
A line segment is a part of a line bounded by two distinct endpoints and containing all the points of the line segment between its endpoints.
We will find the point Q by using the section formula that is
Q(x,y)=((mx₂+nx₁)/(m+n),(my₂+ny₁)/(m+n))
The given ratio is m:n=1:1 and the points (x₁,y₁)=(20,6) and (x₂,y₂)=(-16,50).
Firstly, we will find the point Q for x-axis, we get
Q(x)=(mx₂+nx₁)/(m+n)
Q(x)=(1×(-16)+1×20)/(1+1)
Q(x)=(-16+20)/2
Q(x)=4/2
Q(x)=2
Now, we will find the point Q for y-axis, we get
Q(y)=(my₂+ny₁)/(m+n)
Q(y)=(1×50+1×6)/(1+1)
Q(y)=(50+6)/2
Q(y)=56/2
Q(y)=28
The point Q that partitions the line segment is Q(x,y)=(2,28)
Hence, point Q partitions this segment into a 1:1 ratio with directed line segment AB, with endpoints A(20, 6) and B(-16, 50) is Q(2,28).
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the area of a rectangle is 72. if the length is two times the width what is the width of the rectangle
Answers
Answer:
w = 6
Step-by-step explanation:
w = width
L = length = 2w
wL = A
w(2w) = A
2w² = 72
w² = 36
w = 6
l = 2(6) = 12
In which number is the digit 4 ten times larger than in the number 384?
O 842
O 954
O 1,469
O 4,216
Answers
The number 842 is the number whose digit 4 is ten times larger than in the number 384
Finding the numberTo solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.
In the number 384, the digit 4 is in the ones place, which means that its value is 4.
To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.
The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.
Therefore, the correct answer is 842.
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23/100 equals what percent 23%.69%, 11.5% 46%
Answers
Answer:
23/100 equals 23%.
Answer: 23%
Step-by-step explanation: When doing these problems, remember, 100 and a 100% are the same thing, so when you have a problem like this, divide 25 by 100, then multiply by a 100.
I really need to know how to solve this type of problems
Answers
Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.
How to calculate the quantity of shirts that are red.?The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts
The total quantity of red shirt selected at random = 5
The total quantity of blue shirt selected at random = 13
The total quantity of grey shirt selected at random = 12
Total selected at random = 30
Now if 5 red shirts = 30
X red shirts = 250
make X the subject of formula;
X = 15× 250/30
X = 3750/30
X = 125 red shirts.
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Anita is offered two summer jobs. one is in retail and pays 500$ for a 40 hour work week. the other job is at an office and pays 12$ an hour. what job has a higher hourly rate?
Answers
Anita should take 1st job with 500$ for a 40-hour work week with higher hourly rate.
What is Rate?
A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.
When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.
Anita is offered 500$ for a 40-hour workweek.
So for one hour she will get paid is 500/40 = $12.5 hourly
The second offer is $12 hourly.
Therefore, she should take 1st job with 500$ for a 40-hour work week.
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If 11% of a number equals 12, find 66% of that number
Answers
Answer: 72
Step-by-step explanation:
0.11*a = 12
0.66*a = ?
Hint: We don't need to find a to answer this question! Just find the relationship with these equations.
0.66*a = 6*(0.11*a) = 6*12 = 72
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answers
Answer:
224
Step-by-step explanation:
360.-136.
What's 1 trillion to the 10th power
Answers
The result of the number 1 trillion to the 10th power as required to be determined is; 10¹²⁰.
What is the result of 1 trillion to the 10th power?The result of the number 1 trillion to the 10th power is as follows;
Recall; 1 trillion = 1,000,000,000,000 = 10¹²
Hence; 1 trillion to the 10th power is; ( 10¹² )¹⁰.
From the laws of indices; we therefore have that;
= 10¹²⁰
Ultimately, the result is; 10¹²⁰.
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16 p = 208 p = Pls help quick
Answers
Answer:
p=0
Step-by-step explanation:
When you isolate both variables, one side becomes 0.
Answer:
p = 0
Step-by-step explanation:
16p=208p
Subtract 208p from both sides.
16p−208p=0
Combine 16p and −208p to get −192p.
−192p=0
Product of two numbers is equal to 0 if at least one of them is 0. Since −192 is not equal to 0, p must be equal to 0.
p=0
An AC generator produces an alternating current with a peak value of 18 V. The resistance of the lamp is 4 ohms. What is the effective current?
Answers
The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.
What is current?Current is the flow of electrons through a conductor when voltage is applied across the conductor.
Given the peak voltage of 18 V, hence:
\(V_{rms}=\frac{Peak\ value}{\sqrt{2} } =\frac{18}{\sqrt{2} } =12.73 V\\\\I_{rms}=\frac{V_{rms}}{resistance } =\frac{12.73}{4 } =3.18 A\\\)
The effective current when an AC peak voltage of 18V is applied to a lamp with 4 ohm resistance is 3.18 A.
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(Diversifying Portfolios MC)
Two investment portfolios are shown with the amount of money placed in each investment and the ROR.
Investment
Tech Company Stock $2,800
Government Bond $3,200
Junk Bond
$950
Common Stock
$1,500
Portfolio 1 Portfolio 2
$1,275
$2,200
$865
$1,700
O Portfolio 2 earns $38.17 more.
Which portfolio earns the most, and by how much?
O Portfolio 1 earns $38.17 more.
O Portfolio 1 earns $76.20 more.
ROR
-3.75%
2.95%
4.56%
O Portfolio 2 earns $76.20 more..
7.18%
Answers
Answer: Portfolio 1:
Tech Company Stock: $2,800 * 2.95% = $82.60
Government Bond: $3,200 * 4.56% = $145.92
Total return for Portfolio 1 = $82.60 + $145.92 = $228.52
Portfolio 2:
Junk Bond: $950 * (-3.75%) = -$35.63
Common Stock: $1,500 * 7.18% = $107.70
Total return for Portfolio 2 = -$35.63 + $107.70 = $72.07
From the calculations, we can see that Portfolio 1 earns $228.52 in returns, while Portfolio 2 earns $72.07. Therefore, Portfolio 1 earns $228.52 - $72.07 = $156.45 more than Portfolio 2.
Step-by-step explanation:
42.1 in expanded form
Answers
Answer:
40+2+0.1
Step-by-step explanation:
2.1 The following task is given to Grade 8 learners:
Lerato spends 2/5 of her money and loses 1/3 of what is left. She still has
R6 left. How much money did she have to begin with?
Fath
2.1.1 Solve the problem using an illustration.
(5)
Answers
If Lerato spends ²/₅ of her money, loses ¹/₃ of what is left, and still has R6 left, the amount of money she had to begin with was R15.
How is the beginning amount determined?The beginning amount that Lerato had can be determined using fractional addition and subtraction.
Fractional addition and subtraction involve the addition and subtraction of fractional or proportional values.
The amount of money Lerato spend = ²/₅
The amount left = ³/₅ (1 - ²/₅)
The amount lost = ¹/₃ x ³/₅
= ¹/₅
The total amount spent and lost = ³/₅ (²/₅ + ¹/₅)
The amount of money left after spending and losing ³/₅ = R6
R6 = ²/₅
Proportionately, ²/₅ = R6, ⁵/₅ = R15 (R6 x ⁵/₂).
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Which graph represents the solution for x2 + x - 12 > 0?
-8 - 4 -2 0 2 4 6 8
- +0++
-8-6 4 2 0 2 4 6 8
-8 6 4 2 0 2 4 6 8
40+
-8-F 4 -2 0 2 4 6 8
Answers
Answer:
-8-4-2 0 2 4 6 8 i think
If f(3) = 24, what is f-1 (24)?
Answers
Answer:
f=25
Step-by-step explanation:
24+1=25
25-1=24
I need help with this work plz
Answers
Answer:
wheres the work???⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
where's the screenshot?
A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
Answers
Answer:
57m2
Step-by-step explanation:
Lisa made 42 gallons of cider over two days. She made twice as many gallons of cider on day two as she made on day one. How many
gallons of cider did Lisa make on day two?
Answers
Answer: 28
Step-by-step explanation:
First you divide 42 by 3 and get 14
14 times 2 is 28 and 14+28= 42
so Lisa made 14 gallons of cider on day one and 28 gallons on day two
The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m
Answers
From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5
To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".
Looking at the number line, we can see the following values:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
From this list, the values that "m" could take are:
-2, -3.5, 0, -5
These values are present on the number line, indicating that they are possible values for "m".
Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.
It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.
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