Answer:
D
Step-by-step explanation:
If we reduce [tex]\frac{15}{12}[/tex] This comes to [tex]\frac{5}{4}[/tex]. Thus D is the answer
What is the 12th digit of 23/9?
Answer:
5
Step-by-step explanation:
[tex]\dfrac{23}{9} =2 \ \dfrac59= 2. \overline{5}=2.555555555...[/tex]
Therefore, as 23/9 has a recurring decimal, the 12th digit is 5.
Lester listens to 8 songs every time he does his exercise routine he did his exercise routine 3 time this week how many songs did lester listen to while exercise this week.
Answer:
24
Step-by-step explanation:
multiply 8 by 3
Seventy percent of a roof, or 1400 square feet of the roof, has been re-shingled. What is the total area of the roof? 2000 sq ft 9800 sq ft 20,000 sq ft 98,000 sq ft.
A
Step-by-step explanation:
Jamie has a rectangular pool that has a length of 12 feet and a
perimeter of 40 feet. What is the width of the pool?
Answer:
8 feetStep-by-step explanation:
Given,
Perimeter of a rectangular pool (P) = 40 feet
Length of the pool (l) = 12 feet
Let,
Width of the pool be = w
As we know,
Perimeter of a rectangle = 2(length + width)Therefore,
By the problem,
=> 2(l + w) = P
[On substituting the values of l = 12 and P = 40]=> 2(12 + w) = 40
[On multiplying 2 with 12 and w]=> 24 + 2w = 40
[On subtracting both sides with 24]=> 24 - 24 + 2w = 40 - 24
[On Simplifying]=> 2w = 16
[On Dividing both sides with 2]=> [tex]\frac{2w}{2}[/tex] = [tex]\frac{16}{2}[/tex]
[On Simplifying]=> w = 8
Hence,
The required width of the pool is 8 feet. (Ans)
Answer:
The Width of the pool would be 8 feet/ft. .
Step-by-step explanation:
According to the Question Given:
Perimeter = 40 ft/feet
Length of the pool = 12 ft/feet
To Find:
The width/breadth of the pool
Solution:
We know that,
[tex] \boxed{\tt \: Perimeter \: of \: Rectangle = 2(l + b)}[/tex]
So Put their values accordingly:
Perimeter of The Rectangle = 40Length[L] = 12[tex]\longrightarrow \tt \: 40 = 2(12 + b)[/tex]
We got an equation.By this method we can easily find the breadth/width of the pool.
Solve this equation:
[tex]\longrightarrow \tt40 = 2b + 24[/tex]
Flip the equation:
[tex]\longrightarrow \tt2b + 24 = 40[/tex]
Transpose 24 to the RHS[remember to change its sign]:[tex]\longrightarrow \tt2b = 40 - 24[/tex]
Simplify:[tex]\longrightarrow \tt2b = 16[/tex]
Divide both sides by 2:
[tex] \tt\longrightarrow \cfrac{2b}{2} = \cfrac{16}{2} [/tex]
Use Cancellation method and cancel LHS and RHS:[tex]\tt\longrightarrow \cfrac{ \cancel2 {}^{1} b}{ \cancel2} = \cfrac{ \cancel{16} {}^{8} }{ \cancel2} [/tex]
[tex]\longrightarrow \tt1b = 8[/tex]
[tex]\longrightarrow \tt{b} =\boxed{\tt 8 \: feet}[/tex]
Hence, the breadth/width of the pool would be 8 ft./feet .
[tex] \rule{225pt}{2pt}[/tex]
I hope this helps!
(n+8)+(n−12)
Please help
Answer:
=n+8+n+−12
=(n+n)+(8+−12)
=2n+−4
Answer:
=2n−4
= 2(n-2)
Solve for x ( 5 x − 1 = 2 ) Give your answer as a fraction in its simplest form.
Answer: x is 3/5
Step-by-step explanation: your welcome
what are some equivalent ratios to 3:4.5
Answer:
Step-by-step explanation:
First, find the unit rate. Divide 4.5 by 3 to get 1.5. 3:4.5 = 1:1.5. Then, multiply 1.5 by any number to get an equivalent ratio. For example, 1.5 times 6 = 9, so an equivalent ratio is 6:9. Or, 1.5 times 10 = 15, so another equivalent ratio is 10:15.
Mrs. Brooks brought 1 3/4 batches of cookies to school to share with her friends. At the end of the day, 1/2 of the cookies had been eaten. What percent of the cookies were left?
Find the 60th term of the arithmetic sequence -29, -49, -69, ...
Answer:
-1209 is the answer
Step-by-step explanation:
Trust me, I took Algebra last year and did a similar problem.
What is the value of 2|6+p|-3p3 when p=-2?
-32
-16
32
56
Answer:
26
Step-by-step explanation:
2(6+p)-3p3
Fix in known values
2[6+(-2)]-3(-2)×3
12-4+18
8+18
26
someone please help me
Step-by-step explanation:
each game of cribbage "binds" 4 people, each hand of chess 2 people.
15 games of cribbage means 15×4 = 60 people are playing. that leaves 0 people and therefore 0 games for chess.
2 games of chess means 2×2 = 4 people are playing.
that leaves 60-4 = 56 people for cribbage making 56/4 = 14 games of cribbage.
13 games of cribbage means 13×4 = 52 people are playing. that leaves 60-52 = 8 people for chess making 8/2 = 4 games of chess.
14 games of chess means 14×2 = 28 people are playing, that leaves 60-28 = 32 purple for cribbage making 32/4 = 8 games of cribbage.
0 people of cribbage means nobody is playing this game, that leaves all 60 people to play chess making 60/2 = 30 games of chess.
Maya’s credit card has an APR of 11. 84% and a billing cycle of 30 days. The table below shows her transactions with that credit card in the month of September. Date Amount ($) Transaction 9/1 395. 61 Beginning balance 9/8 24. 13 Purchase 9/13 68. 57 Payment 9/26 31. 77 Purchase Find Maya’s finance charge for September using the previous balance method, the adjusted balance method, and the daily balance method. Among those three possible finance charges, what is the value of the one which is neither lowest nor highest? a. $3. 79 b. $3. 90 c. $3. 68 d. $4. 45.
Answer:
✅C. $3.68i got it correct⬇️
What is the length of minor arc SV? 20π in. 28π in. 40π in. 63π in.
Angles and arcs' lengths are related to each other. The length of the minor arc SV is given by: Option A: [tex]20\pi \: \rm inches[/tex]
How can we use a full rotation?Whole circumference is covered by 360 degrees rotation.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
The complete problem specifies radius of the circle as 24 in. and
θ = 5pi/6
Thus, we get the measurement of the arc length that angle covers as:
[tex]r \times \theta \: \rm inches = 24 \times \dfrac{5\pi}{6} = 20\pi \: \rm inches[/tex]
Thus, the length of the minor arc SV is given by: Option A: [tex]20\pi \: \rm inches[/tex]
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Answer:
option A
Step-by-step explanation:
when you say b what fraction do you mean?
Answer:
Definition of a fractionThe number a is numerator, and b is the denominator.
[tex]#SolutionGiven[/tex]
find the perimeter of a square equal an area to a rhombus whose diagonals are 16 and 18
Answer:
48
Step-by-step explanation:
area of rhombus = Dd/2
area of rhombus = (16)(18)/2 = 144
area of square = 144
side of square = √144 = 12
perimeter of square = 4s = 4(12) = 48
What is cos 30º?
A.1 divided v2
Answer:
Step-by-step explanation:
cos30°=√3/2
F represents the fee (in dollars) for climbing d meters.
F = 110 +0.12d
What is the increase in price for every 100 meters climbed?
Answer:
$12
Step-by-step explanation:
when d = 0, F = 110
when d = 100, F = 110 + (0.12 x 100) = 122
when d = 200, F = 110 + (0.12 x 200) = 134
etc.
Therefore, increase in price for every 100 meters climbed = 134 - 122 = 122 - 110 = 12
How woils I solve number 14 I’m puzzled
Answer:
[tex]x^4+2x^3-4x-8[/tex]
Step-by-step explanation:
[tex](x^3-4)(x+2)\\\\(x^3)(x)+(x^3)(2)+(-4)(x)+(-4)(2)\\\\x^4+2x^3-4x-8[/tex]
The quadrilaterals JKLM and PQRS are similar.
Find the length x of PQ.
PLS HELP ME and dont give me the answer 2.4 its wrong
Answer:
[tex]x[/tex] = 2.8
Step-by-step explanation:
If the quadrilaterals are similar, then the ratios of corresponding sides will be equal:
KL : QR = 4 : 5.6 = 4 / 5.6 = 5/7
JM : PS = 7 : 9.8 = 7 / 9.8 = 5/7
LM : RS = 3 : 4.2 = 3 / 4.2 = 5/7
This shows that the ratio of KJ : QP = 5/7
KJ : QP = 2 : [tex]x[/tex] = 2 / [tex]x[/tex]
Therefore, [tex]\frac{2}{x}=\frac{5}{7}[/tex]
cross multiply: 14 = 5[tex]x[/tex]
Divide both sides by 5: [tex]x[/tex] = 2.8
1 liter is equal to 1,000 milliliters. How many milliliters are in 4 liters, 356 milliliters?
Answer:
4,356 milliliter
Step-by-step explanation:
If 1 liter = 1,000 milliliter
Formula: Multiply the volume value by 1000
Then, 4 liter = 4,000 milliliter
4,000 + 356=4,356
Hence, there are 4,356 milliliter in 4 liters, 356 milliliter.
[RevyBreeze]
The Parks and Rec department has an opening for a Solver of Linear Equations. Since Leslie is great at solving systems of linear equations she zealously offers to give all candidates a quick demonstration. She finds the LU factorization of a 2000 x 2000 matrix in 78125 seconds. She then takes another 25 seconds to apply both triangular substitutions (backward and forward) to solve the system of equations Mx = y for a given vector Y.
The candidates are supposed to estimate (without actually running any code) the time it takes to factorize and efficiently solve a similar system of linear equations Ax =b, where A is a square matrix with dimension 500, given 30 different right-hand side b vectors.
Matrix are used to show data in rows and columns
The estimated time to efficiently solve the square matrix A is 4907.8125 seconds
How to estimate the time to solve matrix AThe given parameters are:
Matrix size = 2000 by 2000
Time = 78125 seconds
Substitution time = 25 seconds
The time to solve the matrix is dependent on the size of the matrix, while the substitution time is fixed
The size of the similar matrix is 500 by 500
The similar matrix is 1/16 smaller than the original matrix of 2000 by 2000.
So, the time to factorize the matrix is:
[tex]Time = \frac{1}{16} * 78125\ seconds[/tex]
[tex]Time = 4882.8125\ seconds[/tex]
The estimate of the time to solve the new matrix is the sum of the time to factorize it and the substitution time.
So, we have:
[tex]Total = 4882.8125\ seconds + 25\ seconds[/tex]
This gives
[tex]Total = 4907.8125\ seconds[/tex]
Hence, the estimated time to efficiently solve the square matrix A is 4907.8125 seconds
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Which number is closest to - 102 (square root)?
A. -11.5
B. -10.0
C. -9.7
D. -11.1
Answer:
B. -10.0
Step-by-step explanation:
-10.0² = -100
thus= -10.0 is the closest to -102 (square root)
Help please, show work!!:)
Answer:
JL ≈ 3.1
Step-by-step explanation:
Using the cosine rule
with JL = k , JK = l , KL = j , then
k² = j² + l² - (2jlcosK )
= 6² + 8² - ( 2 × 6 × 8 × cos20° )
= 36 + 64 - (96cos20°)
= 100 - 96cos20° ( take square root of both sides )
k = [tex]\sqrt{100-(96cos20)}[/tex] ≈ 3.1 ( to the nearest tenth )
that is JL ≈ 3.1
hello guys i need help plssssssssss
Answer:
Y=20x is the answer:)
Step-by-step explanation:
Hope this helps!
Which set of orders pair does not represent a function
Answer:
The third answer is correct.
Step-by-step explanation:
A function must have an output for every input and answer number 3 is the only one that has a unique output for every input.
Two cars leave a city and head in the same direction. After 6 hours, the faster car is 30 miles ahead of the slower car. The slower car has traveled 276
speeds of the two cars
miles. Find the speed of the two cars
Answer:
6x = 360
rate = x = 60 mph (Faster car rate)
Slower car rate = distance/time = 294/6 = 46 mph
Step-by-step explanation
brainly pls
help me please!!! will mark brainliest if right!!
Can we get a better picture of the graph? Can you take a better picture up close?
Thanks!
~Natalia~
Question 2 (Multiple Choice Worth 1 points)
(02.04 LC)
What is the equation of a line that contains the points (0,8) and (8,8)?
Oy=0
Ox=0
Ox=8
Oy=8
Question 3 (Multiple Choice Worth 1 points)
(02.04 MC)
Choose the equation that represents a line that passes through points (-6, 4) and (2,0),
Previous Question
Answer:
y = 8
Step-by-step explanation:
The line that contains points (0, 8) and (8, 8) is a horizontal line in which every point has 8 as its y-coordinate.
Equation: y = 8
y=-1/2x+1 is the equation that represents a line that passes through points (-6, 4) and (2,0)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
the equation of a line that contains the points (0,8) and (8,8)
Slope=0
We need to find the y intercept
8=b
y=8 is the equation of a line that contains the points (0,8) and (8,8)
Now let us find the equation that represents a line that passes through points (-6, 4) and (2,0).
m=0-4/2+6
=-1/2
Now find the y intercept
0=2(-1/2)+b
b=1
y=-1/2x+1 is the equation that represents a line that passes through points (-6, 4) and (2,0),
Hence, y=-1/2x+1 is the equation that represents a line that passes through points (-6, 4) and (2,0)
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A group of friends goes out to lunch and decides to split the bill. Their bill is $32. 50, plus they want to leave a 20% tip. The final amount will be split 4 ways. What is the amount each person will pay? $7. 50 $8. 15 $9. 20 $9. 75.
Percent counts the number of a quantity compared to another quantity's 100 amount. The amount each person would pay is given by: Option D: $9. 75
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For the given case,
Bill for lunch = $32.50
Tip = 20% of bill = [tex]\dfrac{32.50}{100} \times 20 = \dfrac{32.50}{5} = 6.50[/tex] (in dollars)
Total amount = Bill + Tip = $39
This amount has to be divided in 4 equal part.
Thus, each part of those 4 parts would be [tex]\dfrac{39}{4} = 9.75[/tex] (in dollars).
Thus, the amount each person would pay is given by: Option D: $9. 75
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c) The area of a rectangle is 70 cm and it is 7 m broad. (i) Find its length (ii) Find its perimeter
Answer:
34cm
Step-by-step explanation:
[tex]Solution,\\\\Area=70cm^{2} \\\\Breadth(b)=7cm\\\\Now,\\\\Length=\frac{Area}{Breadth}\\\\Length=\frac{70cm^{2} }{7cm} \\\\Length=10cm\\\\Again,\\\\Perimeter=2(l+b)\\\\Perimeter=2(10cm+7cm)\\\\Perimeter=34cm[/tex]
The required length and perimeter of the rectangle are 7 cm and 34 cm respectively.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
Here,
Let the length of the rectangle be l,
Now,
According to the question,
Area of the rectangle, = l × w
70 = l × 7
l = 70 / 7
l = 10 cm
Now,
Perimeter of the rectangle = 2[l + w]
= 2 [10 + 7]
= 34 cm
Thus, the required length and perimeter of the rectangle is 7 cm and 34 cm respectively.
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