Answer:
The answer would be 9:29
Step-by-step explanation:
7:30 and add 46 min would be 8:16
8:16 and 20 min would be 8:36
8:36 and 53 min would be 9:29
a person runs around a square field of side 70m, while another person runs around a rectangular field with length 90m and breadth 60m. Who covers more distance by how much?
\(\huge\underbrace\red{Answer}\)
Given :- Side of the square field = 70mLength of the rectangular field = 90mBreadth of the rectangular field = 60mTo Find :- Perimeter of the square fieldPerimeter of the rectangular fieldSolution :-Perimeter of the square = 4 × side
By substituting values,
⇒ 4 × 70m
➥ 280m
Hence, A Person runs 280m around a Square fieldPerimeter of the rectangle = 2( length + Breadth)
By substituting values,
⇒ 2( 90m + 60m )
⇒ 2( 150m)
➥ 300m
Hence, A Person runs 300m around a rectangular fieldDifference between perimeters of fields = Perimeter of Rectangular field - perimeter of square field
By substituting values,
⇒ 300m - 280m
➠ 20m
Hence, The person runs more around a rectangular field by 20mThe distance is 1,163 miles and the driving is 17 hours and 38 minutes
Answer:
Step-by-step explanation:
17 hours multiplied by 60 (60 seconds in 1 minute) = 1020 minutes + 38 minutes = 1058 minutes.
Miles per hour = distance/time
1163/1058 = 1.10 miles per hour
22 fewer forks than a number, f
Simplify write without absolute value : |1 + 2x| + |5 − 3x| − |−5x − 8| , is x < −10
Answer:
3x + 1 – 2x = 9 – 3
Step-by-step explanation:
3) 6 + 2x – 4 = x – 1
4) – 6 – 2x = - 3x – 6
5) x + x +4 +2 = 8
6) 2x + x +5 – 5 = 6
7) 2x – x – 3 – 5 = 2
8) 2x + 2 – 1 – x = 2
9) 5x – 4= 3x – 2
10) 2x – 5 +1 +x = + x – 6
11) – 2x – 5 = 6 – x – 2x
12) – 10 – 4 x + 2x = – 3 – 4x
13) – 5x – 6 + 4 = 4 + 2x – 8x
14) – x = – 6 – 2 – 2x
15) 5x – 10 – 3x +3 + 2x = 20 – x – 4 – 3 + 3x
A notebook costs £1.40, a pen costs 37p , a pencil costs 24p and a sharpener costs 77p.
Remi buys 2 pencils, 3 pens, 3 sharpeners and some notebooks.
He pays with £9 and receives 90p change.
How many notebooks did he buy?
Answer:
Remi bought 3 notebooks
Step-by-step explanation:
Let n = number of notebooks.
2 pencils cost 2 * £0.24 = £0.48
3 pens cost 3 * £0.37 = £1.11
3 sharpeners cost 3 * £0.77 = £2.31
n notebooks cost n * £1.40 = £1.4n
The total cost is £9 - £0.90 = £8.1
0.48 + 1.11 + 2.31 + 1.4n = 8.1
1.4n + 3.9 = 8.1
1.4n = 4.2
n = 3
Answer: Remi bought 3 notebooks.
The number of notebooks Remi would need to buy is 2.
How many notebooks did he buy?Let's solve this problem step by step.
First, let's calculate the total cost of the items Remi bought.
The cost of 2 pencils would be 2 * £0.24 = £0.48.
The cost of 3 pens would be 3 * £0.37 = £1.11.
The cost of 3 sharpeners would be 3 * £0.77 = £2.31.
Let's assume the number of notebooks Remi bought is 'x'.
The cost of 'x' notebooks would be x * £1.40 = £1.40x.
So, the total cost of all the items would be:
£0.48 + £1.11 + £2.31 + £1.40x = £0.48 + £1.11 + £2.31 + £1.40x = £4.90 + £1.40x.
According to the given information, Remi paid with £9 and received 90p change.
Therefore, we can set up the equation:
£9 - £4.90 - £1.40x = 90p.
To simplify the equation, we need to convert 90p to pounds. Since £1 = 100p, 90p = 90/100 = £0.90.
Now, let's solve the equation:
£9 - £4.90 - £1.40x = £0.90.
Combining like terms, we get:
£4.10 - £1.40x = £0.90.
Now, let's isolate the 'x' term:
£4.10 = £0.90 + £1.40x.
Subtracting £0.90 from both sides, we get:
£3.20 = £1.40x.
Now, let's isolate 'x':
x = £3.20 / £1.40.
x ≈ 2.29.
Since we can't have a fraction of a notebook, we need to round the value to the nearest whole number.
So, Remi bought approximately 2 notebooks.
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If m∠ TUW = (5x + 3)°, m∠WUV=(10x-5)°, and m∠TUV=(17X-16)°, find each measure
Answer: m∠ TUW = 38°
m∠WUV = 12°
m∠TUV = 103°
Step-by-step explanation:
Given: m∠ TUW = (5x + 3)°, m∠WUV=(10x-5)°, and m∠TUV=(17x-16)°
Since, m∠TUV = m∠ TUW + m∠WUV
So, 17X-16 = (5x + 3) + (10x-5)
⇒ 17X-16 = 5x + 3 + 10x-5 [open parenthesis]
⇒ 17X-16 =5x + 10x +3 -5 [combine like trems]
⇒ 17X-16 =15x -2
⇒ 17X -15x = -2+16 [subtract 15x and add 16 on both sides]
⇒ 2x = 14
⇒ x= 7 [divide both sides by 2]
Now, m∠ TUW = (5(7) + 3)°= 38°
m∠WUV=(10(7)-5)° = 12°
m∠TUV=(17(7)-16)° = 103°
Hence, m∠ TUW = 38°
m∠WUV = 12°
m∠TUV = 103°
What is the correct step to solve this equation? 15 = m - 5
Figure out what combinations of transformations would create the new image from the original.
1. First complete a rotation of about the origin with the following matrix:
2.
A. [-1 0 0 -1]
B. [0 1 -1 0]
C. [0 -1 1 0]
1. Answer is 270 CCW
2. Answer is B [0 1 -1 0]
The answer is options a and b are equivalent and option c and d are equivalent.
The composition of transformations is a way to describe how multiple transformations can be applied to an object to create a new image. To find out what combinations of transformations would create the new image from the original, we can work backwards from the new image and apply the inverse of each transformation in reverse order.
The first transformation is a rotation of 270 degrees counter-clockwise about the origin. To undo this rotation, we need to perform a rotation of 90 degrees clockwise about the origin. The matrix for this transformation is:
[0 1]
[-1 0]
The second transformation is given by the matrix B [0 1 -1 0]. To undo this transformation, we need to apply its inverse, which is:
[-1 0 0 -1]
[0 1 -1 0]
To summarize, the combinations of transformations that would create the new image from the original are:
a. Rotate 90 degrees clockwise about the origin, then apply transformation B [0 1 -1 0].
b. Apply transformation B [0 1 -1 0], then rotate 90 degrees clockwise about the origin.
c. Rotate 270 degrees counter-clockwise about the origin, then apply the inverse of transformation B [-1 0 0 -1].
d. Apply the inverse of transformation B [-1 0 0 -1], then rotate 270 degrees counter-clockwise about the origin.
Therefore, options a and b are equivalent, since rotation and transformation are both associative operations. Similarly, options c and d are equivalent for the same reason.
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Answer:
Re-read the question bro, it's already there
Step-by-step explanation:
Which number is divisible by 8? O 1,026 1,024 1,022 1,020
Answer:
1024
Step-by-step explanation:
1024/8=128. all are divisible by 8, but 1024 is the only one where you don't need a decimal in the answer
HELP!!!!!!!!!!!!!!!!!!!
Calculate the future value of $2,500.00, earning interest at a rate of 2 1/2% that is compounded quarterly for 4 years.
A) $3,711.26
B) $2,563.09
C) $2,762.07
D) $5,910,086.00
Answer:
C) $2,762.07
you can use a compound interest calculator to find the answer
please help will give branliest
This proof was correctly started by both eric and maggie.
The next step in the proof is to set the right side of the equations equal.
This would be done by the transitive property of equality.
What is a Mathematical Proof?This refers to the use of inference to make an argument to show the logical conclusion to a set of assumptions.
Based on the given diagram that shows Triangle XYZ and the mathematical proof that both Eric and Maggie are trying to prove, they both give the correct proof and the next step was to make the right side of the equations equal.
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Answer:
1: both
2: set the right side
3: transitive property
Step-by-step explanation:
got it right on plato :)
I also need help on this, it would mean millions to me as this is for a grade. :)
Answer:
The answer is the 3rd one, not equivalent. 8x+4y=4(2x+y)
In high school, you may have learned about function composition as just another way of putting functions together, similar to addition and multiplication. How is composing functions different from adding or multiplying
Answer:
read me
Step-by-step explanation:
In mathematics, function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). ... Composition of functions is different from multiplication of functions, and has quite different properties; in particular, composition of functions is not commutative.
(-2)3+4divided(-15+9)(3)-4
Answer:
(-2)3+4divided(-15+9)(3)-4===== -12
Step-by-step explanation:
I used a calculator, sorry for cheating brainly since I didnt use paper
prove that for every positive rational number r satisfying the condition r2<2 one can always find a larger rational number r h (h>0 ) for which (r h)2<2 .
Answer: Suppose there exists a positive rational number r such that r^2 < 2. Then we have 2 - r^2 > 0. Let h = (2 - r^2)/4. Then h > 0 because r^2 < 2.
Consider the number rh = r + h. We have:
(rh)^2 = (r + h)^2 = r^2 + 2rh + h^2 = r^2 + 2(2 - r^2)/2 + (2 - r^2)/16
= r^2 + 2 + (2 - r^2)/16
< 2 + 2 + (2 - 2)/16 = 2.
Thus, for any positive rational number r such that r^2 < 2, there exists a larger positive rational number rh = r + h such that (rh)^2 < 2.
Step-by-step explanation:
Find the area of this problem
The area of the kite is A = 48 units²
Given data ,
Let the area of the kite be represented as A
Now , the value of A is
Let the first diagonal of the kite be d₁ = 12 units
Let the second diagonal of the kite be d₂ = 8 units
Now , Area of kite = ( 1/2 ) d₁ x d₂
On simplifying , we get
A = ( 1/2 ) ( 12 ) ( 8 )
A = 48 units²
Therefore , the value of A is A = 48 units²
Hence , the area of the kite is A = 48 units²
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How do you know two lines are perpendicular?
1) Their slopes are equal
2) They look perpendicular
3) There is no way to tell
4) Their slopes are negative reciprocals
Answer:
i dont know bro just taking my points back
Step-by-step explanation:
You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the mean? Select all that apply.
A) 18, 56, 58, 61, 52
B) 25, 27, 31, 33, 95
C) 38, 37, 33, 41, 36
D) 65, 68, 71, 73, 12
E) 49, 44, 42, 48, 50
The mean should be calculated for data sets A, B, C, and D.
What is the mean?It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.
When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.
The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.
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Judy is selling small candles at the fair for $4 each and large candles for $6 each. She collected $144 selling a total of 28 candles. How many of each candle did she sell? Use x for the small candles and y for the large candles.
small candle x= blank candles
large candle y = blank candles
Answer:
Number of small candles = 12
Number of large candles = 16
Step-by-step explanation:
Total candles = 28
x + y = 28 ---------------(I)
Cost of 'x' small candles = 4 *x = 4x
Cost of 'y' large candles = 6 *y = 6y
Total amount = $144
4x + 6y = 144 -------------(II)
Multiply equation (I) by (-4) and then add the equation. So, x will be eliminated and we can find the value of 'y'
(I) * (-4) -4x - 4y = -112
(II) 4x + 6y = 144 {Now, add}
2y = 32
y = 32/2
y = 16
Plug in y = 16 in equation (I)
x + 16 = 28
x = 28 - 16
x = 12
Answer:
small candles-x
large -y
144-4x=6y
28-x=y
28-y=x
(28-x)6+4x=144
168-6x+4x=114
-2x=-54
2x=54
x=27
27 small and 1 large
Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents. Movies For
Less charges $3 for each movie but does not have a monthly service fee. The costs of renting movies during the same
month is represented in the table below.
Number of Movies
0
2
4
10
15
Movie Rentals
Mark this and return
Movies Plus
(Cost in $)
10
14
18
30
Which statement is true if 15 movies are rented from each company?
Movies For Less costs $5 more.
Movin Durante 5 morn
Movies For Less
(Cost in $)
Next
0
6
12
Submit
Sign out
Aug 17
11:22
The Movies For Less charges $5 more than Movies Plus.Therefore, option A is correct.
According to the statement
we have to find that the Which statement is true if 15 movies are rented from each company.
So, For this purpose, we know that the
From the given information:
Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents.
So, 15 movies from this provider will cost = 10+2(15)
15 movies from this provider will cost = 40 dollars
Movies For Less charges $3 for each movie but does not have a monthly service fee.
So, 15 movies from this provider will cost = 15 *3 dollars.
15 movies from this provider will cost = 45 dollars.
Comparing both providers,
Then
we can see that Movies For Less charges $5 more than Movies Plus.
Therefore, option A is correct.
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents. Movies For Less charges $3 for each movie but does not have a monthly service fee. The costs of renting movies during the same month is represented in the table below.
Which statement is true if 15 movies are rented from each company?
A)Movies For Less costs $5 more.
B)Movies Plus costs $5 more.
C)Movies Plus costs $6 more.
D)Each company charges the same amount.
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Pls Help
________________
f(x) = 2×2 - 9x- 18
(2x + [?])(x - [ ])
The factored form of the polynomial function f(x) = 2x² - 9x - 18 is:
(2x + 3 )( x - 6 ).
What is the factored form of the polynomial function?Given the function in the question:
f(x) = 2x² - 9x - 18
For a polynomial in the form: ax² + bx + c,
Rewrite the middle term as a sum of the two terms whose product is:
a × c = 2 × -18 = -36
And whose sum is b = -9
f(x) = 2x² - 9x - 18
Factor -9 out of 9x:
f(x) = 2x² - 9( x ) - 18
Rewrite -9 as 3 - 12
f(x) = 2x² + (3 - 12)( x ) - 18
Distribute the x:
f(x) = 2x² + 3x - 12x - 18
Factor out the greatest common factor from each group:
f(x) = x( 2x + 3 ) - 6( 2x + 3 )
Group the first and last two:
f(x) = (2x + 3 )( x - 6 )
Therefore, the factored form is f(x) = (2x + 3 )( x - 6 ).
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Product of (4a+6b)(a-b)
Answer:Simplifying
(4a + 6b)(a + -1b) = 0
Multiply (4a + 6b) * (a + -1b)
(4a * (a + -1b) + 6b * (a + -1b)) = 0
((a * 4a + -1b * 4a) + 6b * (a + -1b)) = 0
Reorder the terms:
((-4ab + 4a2) + 6b * (a + -1b)) = 0
((-4ab + 4a2) + 6b * (a + -1b)) = 0
(-4ab + 4a2 + (a * 6b + -1b * 6b)) = 0
(-4ab + 4a2 + (6ab + -6b2)) = 0
Reorder the terms:
(-4ab + 6ab + 4a2 + -6b2) = 0
Combine like terms: -4ab + 6ab = 2ab
(2ab + 4a2 + -6b2) = 0
Solving
2ab + 4a2 + -6b2 = 0
Solving for variable 'a'.
Factor out the Greatest Common Factor (GCF), '2'.
2(ab + 2a2 + -3b2) = 0
Factor a trinomial.
2((a + -1b)(2a + 3b)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(a + -1b)' equal to zero and attempt to solve:
Simplifying
a + -1b = 0
Solving
a + -1b = 0
Move all terms containing a to the left, all other terms to the right.
Add 'b' to each side of the equation.
a + -1b + b = 0 + b
Combine like terms: -1b + b = 0
a + 0 = 0 + b
a = 0 + b
Remove the zero:
a = b
Simplifying
a = b
Subproblem 2
Set the factor '(2a + 3b)' equal to zero and attempt to solve:
Simplifying
2a + 3b = 0
Solving
2a + 3b = 0
Move all terms containing a to the left, all other terms to the right.
Add '-3b' to each side of the equation.
2a + 3b + -3b = 0 + -3b
Combine like terms: 3b + -3b = 0
2a + 0 = 0 + -3b
2a = 0 + -3b
Remove the zero:
2a = -3b
Divide each side by '2'.
a = -1.5b
Simplifying
a = -1.5b
Solution
a = {b, -1.5b}
Step-by-step explanation:
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it.
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.
The given statement is true.
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Consider the following trigonometric function:
h(x) = 4 sin
TT
377
X +
4
4
351
)
+ 2
Graph h(x) in the interactive widget.
pls help Thank you.
Answer: A is about 90
Step-by-step explanation: B is 190
Which of the following describes how to calculate net pay?
A)Subtract the total deductions from the net pay.
B)Add the total deductions to the gross pay.
C)Subtract the total deductions from the gross pay.
D) Subtract the total deductions from the take-home pay.
Answer: C
Step-by-step explanation: The answer is C because it is.
Feb 17 A zoo feeds its monkeys a mixture of fruits and biscuits. The diagram shows the ratio of fruit n mass to biscuit mass. Ratios with tape diagrams The table shows the mass, in grams, of fruit and biscuits that the zoo fed two of the monkeys. Monkey A Fruit mass Based on the ratio, complete the missing values in the table. B Biscuit mass Fruit mass (g) Biscuit mass (g) 28 45
help fast
Answer:
Fruit mass = 63.2 g
Biscuit mass = 94.8 g
Step-by-step explanation:
Since the ratio of fruit mass to biscuit mass is 2:3, the fraction of fruit mass to the total of fruit and biscuit mass is 2/5 and the fraction of biscuit mass to the total of fruit and biscuit mass is 3/5.
For Monkey A, the total of fruit and biscuit mass is 73 g, which means that the fraction of fruit mass is 2/5 × 73 g = 29.2 g and the fraction of biscuit mass is 3/5 × 73 g = 43.8 g. Therefore, the values for fruit mass and biscuit mass are:
Fruit mass = 29.2 g
Biscuit mass = 43.8 g
For Monkey B, the total of fruit and biscuit mass is 73 + 85 = 158 g, which means that the fraction of fruit mass is 2/5 × 158 g = 63.2 g and the fraction of biscuit mass is 3/5 × 158 g = 94.8 g. Therefore, the values for fruit mass and biscuit mass are:
Fruit mass = 63.2 g
Biscuit mass = 94.8 g
A scammer scanned 63 photos in 9 minute if it scans photos at a constant rate it can scan___ photos in 21 minutes (20 points)
The answer to this is 147. Just divided 9 by 63 :)
Submit your answers to the following questions. Be sure to explain your reasoning for each; it is helpful to draw this out to get started to see any quantitative patterns that develop.
If you write the counting numbers in rows of 7 numbers each, like shown below (but you keep going), where all the number line up in seven vertical columns as you go. (Note in the example below, the number 13 is in the 2nd row and the 6th column.)
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
In which column would the number 100 land?
In which row?
Now write the counting numbers in rows of 6 numbers each. What’s the location of 100 in this array?
Write arrays with other length rows. Find a way to predict in which row and column 100 will land for any array of numbers.
The number 100 would land in column 2
The number 100 would land in row 14The location of 100 in rows of 6 numbers is row 16 and column 3The location of 100 in rows of n numbers is row q and column rIn which column would the number 100 land?Given that we have the array of numbers
The length of each row in the array is 7
Dividing 100 by 7, we have
100/7 = 14 Remainder 2
This means that
Column = 2
In which row would the number 100 land?In (a), we have
100/7 = 14 Remainder 2
This means that
Row = 14
The location of 100 in rows of 6 numbersHere, we have
The length of each row in the array is 6
Dividing 100 by 6, we have
100/6 = 16 Remainder 3
So, the location of 100 in rows of 6 numbers is row 16 and column 3
Predicting the row and column 100 will landLet the length of each row in the array be n
Dividing 100 by n, we have
100/n = q Remainder r
This means that the location of 100 in rows of n numbers is row q and column r
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