Using system of linear equations, Amelia spent 92.5 minutes mowing the lawn and 27.5 minutes trimming the hedges
System of Linear EquationSystem of linear equations is the set of two or more linear equations involving the same variables. A linear equation can be defined as the equations of the first order, whereby the highest power of the variable in the equation is one.
To solve this problem, we have to write a system of linear equation;
Let;
x = number of minute spent mowing lawny = number of minute trimming the hedgesWe can represent the problem with two set of equations as;
x + y = 120 ...eq(i)
x = 3y + 10 ...eq(ii)
From equation 1
x + y = 120
x = 120 - y ..eq(iii)
Put eq(iii) into eq(ii)
120 - y = 3y + 10
collect like terms
120 - 10 = 3y + y
110 = 4y
y = 110 / 4
y = 27.5 minutes
Put y = 27.5 in equ(i)
x + 27.5 = 120
x = 120 - 27.5
x = 92.5 minutes
She spent 92.5 minutes mowing the lawn and 27.5 minutes trimming the hedges.
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If eight bottles of shampoo is $20 how much money is one bottle of shampoo?
Answer:
Step-by-step explanation:
ik u already know this.. im still gonna answer for points.
In order to find how much is 1 bottle of shampoo you just divide the $20 by 8.
Just use a calculator and you will get $2.50
Answer:
The answer will be $2.50
Step-by-step explanation:
All you do is divide 20 by 8 and you will get 2.5 and if you need to check the answer you can multiply 2.5 by 8
Hope this helps and may God bless you<3
Sue has 20 biscuits There are: 12 plain biscuits 5 chocolate biscuits 3 currant biscuits Sue takes two random biscuits Work out the probability that the two biscuits were not the same type
Answer:
58.43%
Step-by-step explanation:
The first thing we must do is calculate the probability of when both are equal, that is, take out two cookies of the same type, since we can calculate that they are not equal by means of their complement:
The probability that they are equal is:
P (plain, plain) = (12/20) (11/19)
= 132/380
P (chocolate, chocolate) = (5/20) (4/19)
= 20/380
P (currant, currant) = (3/20) (2/19)
= 6/380
The final probability would be the sum of these:
P (equal) = 132/380 + 20/380 + 6/380
P (equal) = 158/380
P (equal) = 0.4157
The probability that they are different is the opposite of the probability that they are equal, that is, the complement. Therefore, the probability that they are different is:
P (different) = 1 - 0.4157
P (different) = 0.5843
In other words, the probability would be 58.43%
if you run at 12 m/s for 15 minutes how far will you go?
Unit conversion is the conversion of one unit to another unit with its standard conversion.
The distance traveled in 15 minutes at a speed of 12m/s is 10800 m.
What is unit conversion?
It is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 seonds
1 km = 100 m
1 m = 100 cm
We have,
Speed = 12 m/s
This means,
1 second = 12 m
Now,
1 minute = 60 seconds
15 minutes = 15 x 60 seconds
15 minutes = 900 seconds
So,
1 sec = 12 m
Multiply 900 on both sides.
900 x 1 sec = 900 x 12m
900 seconds = 10800 m
Thus,
The distance traveled in 15 minutes at a speed of 12m/s is 10800 m.
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PLS HELP ASAP
simplify the expression that enter your answer below x + 2 x + 5 x
Answer:
8x
Step-by-step explanation:
Combine Like Terms:
= x+2x+5x
= (x+2x+5x)
= 8x
6 to the 2 power −2(5+1+3)
Answer:
18
Step-by-step explanation:
can someone help me with math
Answer:
input = 6 leads to output = 15
input = 9 leads to output = 21
==================================================
Explanation:
If the input is x = 6, then,
y = 2x+3
y = 2(6)+3
y = 12+3
y = 15 is the output
Repeat those steps for x = 9
y = 2x+3
y = 2(9)+3
y = 18+3
y = 21 is the output
What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6? PLS HELP!!!!
Answer:
The coordinates of the point X:
(x, y) = (-1, -7)Step-by-step explanation:
Let X be the point.
As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
\(\left(x_1,\:y_1\right)\:=\:\left(-2,-8\right)\)
\(\left(x_2,\:y_2\right)=\left(5,-1\right)\)
Rise = y₂ - y₁
\(= -1 - (-8)\)
\(= -1 + 8\)
\(= 7\)
Run = x₂ - x₁
\(= 5 - (-2)\)
\(= 5 + 2\)
\(= 7\)
1 : 6 ratio means the point X lies at
\(\frac{1}{6+1}=\frac{1}{7}=14\%\)
Thus,
rise for X \(=\:7\:\times \:14\%=1\)
run for X \(=\:7\:\times \:14\%=1\)
Thus, coordinates of X will be:
\(x = -2 + 1 = -1\)
\(y = -8 + 1 = -7\)
Therefore, we conclude that:
The coordinates of the point X:
(x, y) = (-1, -7)The point (-1, -7) divide the segment from (-2,-8) to (5,-1). in the ratio 1:6.
What is distance?If a point O(x, y) divides the line segment AB in the ratio of n:m, where the endpoints of the line is A(x₁, y₁) and B(x₂. y₂), the point O is at:
\(x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1\)
Given the ratio 1:6, let O(x, y) divide the segment from (-2,-8) to (5,-1). Hence:
\(x=\frac{1}{1+6}(5-(-2))+(-2)=-1\\\\y=\frac{1}{1+6}(-1-(-8))+(-8)=-7\)
O = (-1, -7)
The point (-1, -7) divide the segment from (-2,-8) to (5,-1) in the ratio 1:6.
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Help please with this maths
Answer:
9 cm
Step-by-step explanation:
You want the radius of the sphere that has a surface area of 324π cm².
AreaThe area of a sphere is given by the formula ...
A = 4πr²
Filling in the given values, we can solve for r:
324π = 4πr²
81 = r² . . . . . . . . . divide by 4π
9 = r . . . . . . . . . . . take the square root
The radius of the sphere is 9 cm.
<95141404393>
An exterior angle and the interior angle of a regular polygon added pressure toast to 7 find the number of sides of the polygon
Step-by-step explanation:
I hope this answer is helpful ):
The table shows the gallons of water in a pool over time.
A two column table with six rows. The first column, Time in minutes, has the entries, 0, 1, 2, 3, 4, 5. The second column, Water in Pool in gallons, has the entries, 50, 44, 38, 32, 26, 20.
Choose the term that describes the slope of the line of a graph representing the data in the table.
The slope of a line graphed to represent the volume of water in a pool over time would be described as
.
Answer:
6 gallons per minute
Step-by-step explanation:
Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is
Q = a + bt ........... (1)
Now, Q(t = 0) is given to be 50 gallons.
So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).
Now, two points on the graph are (0,50) and (1,44).
So, the slope = b = = - 6 gallons per minute.
Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)
The slope of the line graph representing the data would be described as "negative" or "decreasing."
We have,
The slope of a line represents the rate of change between two variables.
In this case, the variables are "Time in minutes" and "Water in Pool in gallons.
" The slope of the line graph representing this data would be described as "negative" or "decreasing."
This is because as time increases (going from 0 to 5 minutes), the amount of water in the pool is decreasing (going from 50 gallons to 20 gallons).
When the slope of a line is negative, it indicates a decreasing trend or a decrease in the value of one variable as the other variable increases.
Thus,
The slope of the line graph representing the data would be described as "negative" or "decreasing."
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in a class of 33 student 18 play football 1"basketball and 7 play both games how many students play non of the games
Answer:
20
Step-by-step explanation:
I'm pretty sure its 20 but I could be wrong but 20 is my best guess.
Answer:
16 of the 33 plays none.
Step-by-step explanation:
From the list, we get that 18 students play football, 1 basketball, and 7 both.
What we need to do here is add up 18 and 1
then we subtract 19 by 7 to cancel out the people who play both
and then subtract the total number of 33 by 17,
which gives you 16.
How many lateral faces on a triangular prism
Answer:
there are eight lateral faces in prism
There are three lateral faces for a triangular prism.
An edge is a line segment formed by the intersection of two adjacent faces. A vertex is the point of intersection of three edges.
Which angle is the smallest?
12
10
D
Answer:
Step-by-step explanation:
Integers can be represented by repeatedly adding or subtracting the number 1. For example, the integer 3 can be represented as 0 + 1 + 1 + 1, and the integer -3 can be represented as 0 - 1 - 1 - 1. Hence, the definition "an integer is the number 0 or any number obtained by repeatedly adding 1 to this number" is true.
"An integer is the number 0 or any number obtained by repeatedly adding 1 to this number" is not entirely true.
True that integers can be represented by repeatedly adding or subtracting the number 1,
The fact that integers can also be negative and can be obtained by repeatedly subtracting 1 from 0 or another negative integer.
The definition does not account for the fact that integers can be represented using other operations, such as multiplication or division. The integer 12 can be represented as 4 x 3 or as 24 ÷ 2.
A more accurate definition of an integer is a whole number that can be positive, negative, or zero.
Integers can be represented using addition, subtraction, multiplication, or division, and can be used to represent quantities such as counts, distances, temperatures, and other measurable quantities.
The original definition is a useful way to understand how integers can be represented using addition and subtraction, it is not a complete or entirely accurate definition of what integers are.
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URGENT WORTH 25 POINTS!!!Algebraically determine whether the following functions are Even, Odd, or Neither
By algebra properties, the following functions have the following features:
Case 1: Neither
Case 2: Even
Case 3: Odd
Case 4: Neither
Case 5: Even
Case 6: Even
Case 7: Even
Case 8: Even
Case 9: Odd
Case 10: Odd
How to determine that a function is even or odd or neither
In this problem we need to check if a function is even, odd or neither. This can be understood by the following definitions:
Even function
f(x) = f(- x), for all x in the real set.
Odd function
f(x) = - f(x), for all x in the real set.
Now we need to check the features of the following ten functions by algebra properties:
Case 1
For x > 0:
x³ - x² + 4 · x + 2
For x < 0:
(- x)³ - (- x)² + 4 · (- x) + 2
- x³ - x² - 4 · x + 2
- (x³ + x² + 4 · x - 2)
Correct choice: Neither
Case 2
For x > 0:
- x² + 10
For x < 0:
- (- x)² + 10
- x² + 10
Correct choice: Even
Case 3
For x > 0:
x³ + 4 · x
For x < 0:
(- x)³ + 4 · (- x)
- x³ - 4 · x
- (x³ + 4 · x)
Correct choice: Odd
Case 4
For x > 0:
- x³ + 5 · x - 2
For x < 0:
- (- x)³ + 5 · (- x) - 2
x³ - 5 · x - 2
- (- x³ + 5 · x + 2)
Correct choice: Neither
Case 5
For x > 0:
√(x⁴ - x²) + 4
For x < 0:
√[(- x)⁴ - (- x)²] + 4
√(x⁴ - x²) + 4
Correct choice: Even
Case 6
For x > 0:
|x + 4|
|x| + 4
x + 4
For x < 0:
|-x + 4|
|- x| + 4
x + 4
Correct choice: Even
Case 7
For x > 0:
|x| + 4
x + 4
For x < 0:
|- x| + 4
x + 4
Correct choice: Even
Case 8
For x > 0:
x⁴ - 2 · x² + 4
For x < 0:
(- x)⁴ - 2 · (- x)² + 4
x⁴ - 2 · x² + 4
Correct choice: Even
Case 9
For x > 0:
∛x
For x < 0:
∛(- x)
- ∛x
Correct choice: Odd
Case 10
For x > 0:
x · √(x² - 1)
For x < 0:
- x · √[(- x)² - 1]
- x · √(x² - 1)
Correct choice: Odd
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Bronze is a mixture of copper and tin.
The copper and tin are in the ratio 9:1.
a) How much tin is there in a bronze bracelet
weighing 260 grams?
6
Answer:
26 gm
Step-by-step explanation:
Tin is 1 out of (9+1) = 1/10 th
1/10th * 260 gm = 26 gm
An architect is drawing a floor plan for the basement of a house. He has drawn the
plans as shown. On the plan, 1/4 inch represents 4 feet in length in the house.
What is the area of the basement?
The area of the basement will be 576 square feet.
What is an area?The area is defined as the space covered by the object in a two-dimensional plane. The area of the rectangle is calculated by the multiplication of the length and the width.
Given that a basement floor plan for a house is being created by an architect. He drew the plans as they are seen. On the plan, one-fourth of an inch corresponds to four feet in the house.
The area of the basement will be calculated as:-
Area = 12 x 6
Area = 72 square inches
Area = 72 x 8 feet
Area = 576 square feet
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Rob sells electronics and earns $625 per week, plus 12% of his sales. Last week, he sold $3250 worth of electronics. What was his total earnings for last week?
Answer:
$1,015
Step-by-step explanation:
Given that:
Weekly earning = $625
Commission = 12% of sales
sales made last week = $3250
Last week earning = weekly earning + commision on sale
Commission on sale = 12% of sales
Commission on sale = (0.12 * 3250) = $390
Last week earning = weekly earning + commision on sale
Last week earning = $625 + $390 = $1,015
What is the minimum monthly payment to pay off $5500 loan with a
5% interest rate for a term of 2 years?
The minimum monthly payment to pay off a $5500 loan with a 5% interest rate for a term of 2 years is $247.49.
To calculate the minimum monthly payment to pay off a $5500 loan with a 5% interest rate for a term of 2 years, you can use the formula for calculating the monthly payment on a loan, which is:
P = (L[i(1 + i)ⁿ])/([(1 + i)ⁿ] - 1) where:
P = monthly payment
L = loan amount
i = interest rate per month
n = number of months in the loan term
Given:
L = $5500
i = 0.05/12 (5% annual interest rate divided by 12 months)
= 0.0041667
n = 2 years x 12 months/year
= 24 months
Plugging these values into the formula, we get:
P = ($5500[0.0041667(1 + 0.0041667)²⁴])/([(1 + 0.0041667)²⁴] - 1)
P = $247.49
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find the mean absolute deviation
Follow these procedures to calculate the mean absolute deviation.
1. Determine the data's mean by adding all of the values and dividing by the number of values in the data set.
2. Subtract the mean from each of the data points.
3. Make each difference a good one.
4. Add up all of the positive differences.
5. Subtract this total from the amount of data values in the collection.
This is the mean absolute deviation.
What is mean absolute deviation?A data set's average absolute deviation is the sum of its absolute departures from a central point. It is a statistical dispersion or variability summary statistic.
The average distance between the values in a data collection and the set's mean is described by mean absolute deviation. A data collection with a mean average deviation of 3.2, for example, has values that are 3.2 units away from the mean on average.
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A librarian has 10 nonfiction and eight fiction books from which to choose the next three book club selections.
What is the approximate probability that she chooses a fiction book, then a nonfiction book, then a fiction book?
0.114
0.131
0.686
0.784
Answer:
For this case we have a total of 10 nonfiction books and 8 fiction books, we are going to assume that the selection is without replacement so then for the first case the probability of select a fiction book is:
\( \frac{8}{18}\)
For the second selection we have 17 books remaining and the probability of select a nonfiction book is:
\( \frac{10}{17}\)
For the last selection we have 16 books remaining and the probability of select a fiction book would be:
\(\frac{7}{16}\)
Sinally since the events are independent the total probability would be:
\( \frac{8}{18} *\frac{10}{17}*\frac{7}{16}= 0.114\)
Step-by-step explanation:
For this case we have a total of 10 nonfiction books and 8 fiction books, we are going to assume that the selection is without replacement so then for the first case the probability of select a fiction book is:
\( \frac{8}{18}\)
For the second selection we have 17 books remaining and the probability of select a nonfiction book is:
\( \frac{10}{17}\)
For the last selection we have 16 books remaining and the probability of select a fiction book would be:
\(\frac{7}{16}\)
Sinally since the events are independent the total probability would be:
\( \frac{8}{18} *\frac{10}{17}*\frac{7}{16}= 0.114\)
Answer:it’s A
Step-by-step explanation:
did the test
Doug started his math homework at 7:55 P.M. He finished all the problems at 8:15 P.M. How long did Doug spend doing his math homework?
Answer:
20 minutes
Step-by-step explanation:
If you add 20 minutes to 7:55 P.M., it becomes 8:15 P.M.
Answer:
20 minutos
Step-by-step explanation:
De 7:55 pm hasta las 8: pasaron 5 minutos, luego de 8:00 a 8:15 pm pasaron 15 minutos.
Así que sería 5 + 15 = 20 minutos
A large stand of fir trees occupies 24 hectares. The trees have an average density of 1 tree per 20m squared. A forester estimates that each tree will yield 300 board-feet. Estimate the yield of the stand if one-tenth of the trees are cut.
Answer:
The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.
Step-by-step explanation:
First, let is find the total amount of fir trees that occupies the area of 24 hectares. (1 hectare = 10000 square meters)
\(n = \sigma \cdot A\)
Where:
\(\sigma\) - Surface density, measured in trees per square meter.
\(A\) - Total area, measured in square meters.
Given that \(\sigma = \frac{1}{20}\,\frac{tree}{m^{2}}\) and \(A = 24\,h\), the total amount of fir trees is:
\(n = \left(\frac{1}{20}\,\frac{trees}{m^{2}} \right)\cdot (24\,h)\cdot \left(10000\,\frac{m^{2}}{h} \right)\)
\(n = 12000\,trees\)
It is known that one-tenth of the tress are cut, whose amount is:
\(n_{c} = 0.1 \cdot n\)
\(n_{c} = 0.1 \cdot (12000\,trees)\)
\(n_{c} = 1200\,trees\)
If each tree will yield 300 board-feet, then the yield related to the trees that are cut is:
\(y = S\cdot n_{c}\)
Where:
\(S\) - Yield of the tress, measured in board-feet per tree.
\(n_{c}\) - Amount of trees that will be cut, measured in trees.
If \(n_{c} = 1200\,trees\) and \(S = 300\,\frac{b-ft}{tree}\), then:
\(y = \left(300\,\frac{b-ft}{tree} \right)\cdot (1200\,trees)\)
\(y = 360000\,b-ft\)
The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.
what is the answer
.........
888+88+8+8+8 is the real answer.
The area of a rectangle is 15 square inches. What wil be the area, in square inches, of the rectangle after it is dilated by a
scale factor of 2?
Answer:
60 inches²
Step-by-step explanation:
Unit test
Kate is one year and six months younger than her sister. If her sister is 14 years and 2 months old,
how old is Kate?
round each fraction to help you estimate the solution for the following equation 9/10 - 8/10
Answer:
1/10
Step-by-step explanation:
9/10 - 8/10 since they have the same denominator all you have to do is minus 9 by 8.
Answer:
0 or 1/10
Step-by-step explanation: If you round it they both would be 1. If you did not it would be 1/10. Plz give brainlyist
Find the perimeter of an equilateral triangle that has an attitude of 25 inches. Round your answer to the nearest 10
9514 1404 393
Answer:
86.6 inches
Step-by-step explanation:
The side length of an equilateral triangle is 2/√3 times the altitude. So, the perimeter is ...
P = 3s = 3(25)(2/√3) = 50√3 ≈ 86.6 . . . . inches
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
So for the question:
Approximately 1,000,000 people cross the Shibuya Crossing intersection eachday:
Answer:
A.) 1 x 10^6 people
Explanation
1 times 10 to the sixth power (which is 1000000) is 1000000
Hoped that helped:P
Then for the next question:
Choose the best approximation of the number of minutes in each day.
Answer:
A) 1 x 10^3 minutes
Explanation:
if you round 1440 up to 2000 or down to 1000 youll get 10^3
Hoped that helped:P
Then for the last question:
Approximarely how may people cross the Shibuya crossing each minute?
Answer:
A.) 1 x 10^3 people per minute
Now remmeber this is approximently so its not the actually amount.
Hoped that helped:P and fyi u should of put this as more points it was a lot of work.
If f(x) = 2x - 9, which of the following are correct?
answer quickly, 20 points.
Select all that apply.
f(-1) = -11
f(2) = 5
f(3) = -3
f(0) = -9
f(-3) = 15
Answer:
f(-1)=-11
f(3)=-3
f(0)=-9
Step-by-step explanation:
2(-1)-9=-11
2(3)-9=-3
2(0)-9=-9
Answer:
the answer should be f(-1), f(3), f(0)