XZ is the perpendicular bisector of segment WY. Solve for k. Enter a NUMBER only.
=====================================================
Explanation:
"bisect" means to "divide in half"
So segment WY is split into two smaller equal pieces.
Segments WX and XY are the same length
WX = XY
6k+8 = 11k-12
6k-11k = -12-8
-5k = -20
k = -20/(-5)
k = 4
A rectangular room is 2 times as long as it is wide, and its perimeter is 32 meters. Find the
dimension of the room.
L=?
W=?
Answer: l=32/3 meters
w=16/3 meters
Step-by-step explanation:
P=perimeter, l=length, w=width
P=2l+2w
32=2(2w)+2w
32=4w+2w
6w=32
w=32/6
w=16/3 meters
32=2l+2(16/3)
32=2l+32/3
(32=2l+32/3)*3
96=6l+32
6l=64
l=64/6
l=32/3 meters
Use the phrase below to answer the following questions.
The sum of -15y and 16y is −4.
Translate the phrase into an algebraic equation.
Now, use your equation to solve for y.
y =
The translation of the phrase The sum of -15y and 16y is −4 is
-15y + 16y = -4 and the value of y is -4.
What is an algebraic equation?An algebraic equation is written in the form of variables and constants and we combine these variables and constants with arithmetic operations.
In the given question there is a statement The sum of -15y and 16y is −4 and we have to express it in form of numerical and solve for y or find the value of y.
∴ The sum of -15y and 16y is −4 can be expressed numerically as,
-15y + 16y = -4.
y = -4.
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Distributive property 3(2x+7)
A loptop and 3 tablets cost $810. A laptop and 1 tablet cost $630. How much does one laptop cost? How much does one tablet cost?
Answer: Tablet costs $225
Laptop costs $135
Step-by-step explanation:
Laptop is = x
Tablet = T
x + 3t = 810
x + t = 360
x = 360 - t
360 - t + 3t =810
2t = 450
t = 225
x + 225 = 360
x = 135
help pls!!!!!!!!!!!!
Answer:
Step-by-step explanation:
E - 4,-2
F - 6, -3
G - 1, -4
determine smallest 3 digit number which is exactly divisible by 6, 8 and 12
Answer:
120
Step-by-step explanation:
Common Multiples of 6: 6,12,18,24,30,36,42Common Multiples of 8: 8,16,24,32,40,48,54Common Multiples of 12: 12,24,36,48,60,72We note that 2, 4 is the least common multiple of 6,8 and 12
We have to find the smallest 3 -digit multiple of 24.
Also 24 × 4 = 96 and 24 ×5 = 120.
The smallest 3-digit number which is exactly divisible by 6,8 and 12 is 120.
Answer:
120
Step-by-step explanation:
How can I solve for x
Someone answer this riddle in the photo
They still loose 100 dollars
Answer:
The store lost $100....
through: (1,-1), slope = -3/5
Answer:
equation : 3x + 5y + 2 = 0
Step-by-step explanation:
y - y1 = m (x - x1)
y - (-1) = -3/5 ( x - 1 )
5(y + 1) = -3(x - 1)
5y + 5 = -3x + 3
3x + 5y + 2 = 0
A car pulls forward 35 feet in 7 seconds, and then stops and sits still for 4 seconds, and then pulls backward 21 feet in 5 seconds. a) What is the distance that the car moved in the full 16 seconds? b) What is the total displacement of the car in the full 16 seconds? c) What are the average speeds in the first, second, and third parts of the car’s motion? d) What is the car’s average speed during the full 16 seconds? e) What is the car’s average velocity during the full 16 seconds?
a) The total distance covered is 56 feet
b) The total displacement is 14 feet
c) The average speed in the first, second, and third parts of the car’s motion are; 5 feet/sec, 0 feet/sec and 4.2 feet/sec
d) The average speed of the car is 3.5 feet/sec
e) The average velocity of the car is 0.875 feet/sec
What is the displacement?We must understand that the distance is the difference between two points but the displacement is the distance between two points in a definite direction. This implies that the distance is a scalar quantity while the distance is a vector quantity. Being a vector quantity means that when we are computing the displacement that we must take into account the direction of the motion and this also applies to the calculation of the velocity of the car.
Let us now carry pout the calculations;
a) Total distance = 35 feet + 21 feet = 56 feet
b) Total displacement = 35 feet - 21 feet = 14 feet
c) Average speed of the first, second, and third parts of the car’s motion;
i) 35 feet / 7 seconds = 5 feet/sec
ii) 0 feet/sec ( it sat still)
iii) 21 feet/5 seconds = 4.2 feet/sec
d) The cars average speed = 56 feet/16 seconds = 3.5 feet/sec
e) Average velocity = 14 feet/ 16 seconds = 0.875 feet/sec
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An object is moving at a speed of 360 kilometers per hour. Express this speed in miles per day. Round your answer to the nearest whole number.
We get the speed of the object as 5365 miles / day after rounding off.
We are given that an object is moving at a speed of 360 kilometers per hour.
We know that:
1 km = 0.621 miles.
So, 360 km will be:
360 km = 223.56 miles.
Also, we know that:
we have 24 hours in 1 day.
1 day = 24 hours.
1 hour = 1 / 24 day.
Re-writing the speed of the object, we get that:
223.56 miles in 1 / 24 day
That is:
5365.44 miles / day.
Rounding off:
= 5365 miles / day.
Therefore, we get the speed of the object as 5365 miles / day after rounding off.
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6 3/7 + 7 5/7 as a mixed number in simplest form
Answer: 14 1/7
Step-by-step explanation:
Hi everyoneeee i just need one thing done
solve this in word form
1,900
There are two ways to say 1900 in word form.
1900 = nineteen hundred
1900 = one thousand, nine hundred
Both are equally valid.
Answer: one thousand nine hundred
Step-by-step explanation:
Reduce answers to lowest terms 5/9 + 1/10
The answer for the given question is 59/90
A fraction is said to be in lowest terms when the greatest common factor (GCF) of the numerator and denominator is 1. Now that this is in mind, let's continue to solve.
Given, 5/9+1/10 and we have to convert or reduce it into the lowest terms.
So, let's proceed to solve this question
First add 5/9 and 1/10 i.e.,
= 5/9+1/10
Taken LCM of 9 and 10 which comes out to be 90.
Then, adding, we get
= 50+9/90
= 59/90
59/90 is already in its lowest form because the numerator and denominator have no common factor other than 1. So it's already at its most basic level.
Therefore, 59/90 is the required answer.
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One machine can seal 360 packages per hour, and an older machine can seal 140 packages per hour. How many MINUTES will the two machines working together take to seal a total of 700 packages?
Answer:
84 minutes
Step-by-step explanation:
360 per hour = 6 per min
140 per hour = 2 1/3 per min
Both together do 8 1/3 per min.
In 3 minutes, both machines together do 25 packages.
700/25 = 28.
In 3*28 minutes, which is 84 minutes, both machines together seal 700 packages.
Thanks!
4. Airline fares can vary greatly, even from the same carrier within the same day. The following are fares from New York to Burbank, CA, over the past week. $430, $567, $334, $701, $424, $555, $890, $455, $450, $1,122 What is the standard deviation for this distribution? Round your answers to the nearest dollar.
Answer:
$235
Step-by-step explanation:
.....................
factor out the greatest common factor (5r-6)(r+3) - (2r-1)(r+3)
The factor (r + 3) is common. Then the greatest common factor will be (r + 3).
What is the greatest common factor?Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).
The expression is given below.
⇒ (5r - 6)(r + 3) - (2r - 1)(r + 3)
In both terms, the factor (r + 3) is common. Then the greatest common factor will be (r + 3). Then the expression will be
⇒ (5r - 6)(r + 3) - (2r - 1)(r + 3)
⇒ [(5r - 6) - (2r - 1)](r + 3)
⇒ (3r - 5)(r + 3)
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7(4x-5) - 4(6x+5) = -91
Answer:
x = -9Step-by-step explanation:
7(4x-5) - 4(6x+5) = -91
28x - 35 - 24x -20 = -91
28x - 24x = -91 + 35 + 20
4x = -36
x = -36 : 4
x = -9
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how many cubic feet water will aquarium A hold 16ft and 8ft
Answer:
128 feet
Step-by-step explanation:
8*16 is 128 feet
Mrs. Lin asked her students to
write a sequence with a common
ratio of 5 where a₁ is negative. Who
correctly completed the task?
KORY
-1, 5, -25, 125,
REID
-3, -15, -75,-375,..
KEISHA
-10,-5, 0, 5, 10,
ALLIE
2, 10, 50, 250,
Answer:
REID: -3, -15, -75,-375,..Step-by-step explanation:
If a GP has a positive common ratio and negative first term, it means all its terms are negative since formed by a product of positive and negative numbers.
We can only see one sequence with all negative terms and common ratio of 5, this is REID's.
Katherine buys eggs and apples at the store.
. She pays a total of $47.45.
. She pays a total of $6.77 for the eggs.
She buys 6 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine x, how much each bag
of apples costs.
Answer:
x = 5.94
Step-by-step explanation:
The difference of range and equartile range of the data set present by is plit
The range measures the difference between the minimum value and the maximum value in a dataset. The interquartile range measures the difference between the first quartile (25th percentile) and third quartile (75th percentile) in a dataset. This represents the spread of the middle 50% of values
Suppose you received a score of 91 out of 100 on exam 1. The mean was 79 and the standard deviation was 8. What score do you need on exam 2 to do equally well, if the mean is 60 and the standard deviation is 12?
You require the score of 78 to do equally well in exam 2.
To compare both the scores, we need to compute the z scores of both exams and then compare the values. The formula for z-score is:
Z = (X - μ)/σ
Where X = score obtained
μ = mean score
σ = standard deviation
For Exam 1:
Z = (91 - 79)/8
= 12/8
Z = 3/2
To perform similarly well on the second exam, let x equal z 3/2.
For Exam 2:
Z = (x - 60)/12
3/2 = (x - 60)/12
By cross multiplying we get
2(x - 60) = 12 * 3
x - 60 = 36 /2
x - 60 = 18
x = 18 + 60
x = 78
Therefore, Consequently, you must achieve a score of 78 to perform equally well in Exam 2.
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Determine the amplitude or period as requested.
Amplitude of y = negative one-third sine x
a.
Negative one-third
b.
StartFraction pi Over 3 EndFraction
c.
One-third
d.
3
The amplitude of the function is 1/3
How to determine the amplitude of the function?The function is given as:
y = negative one-third sine x
Rewrite properly as
y = -1/3sin(x)
A sine function is represented as:
y = Asin(x)
And the amplitude is
Amplitude = |A|
In y = -1/3sin(x), we have
A = -1/3
So, we have
Amplitude = |-1/3|
Evaluate
Amplitude = 1/3
Hence, the amplitude of the function is 1/3
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Find the equation of the line perpendicular to the graph of x + 4y = 2 that contains the point (-1,3)
Answer:
y = 4x + 7
or y - 4x = 7
Step-by-step explanation:
x + 4y = 2
4y = -x + 2
y = -1/4x + 2
The slopes of two perpendicular lines are negative reciprocals of each other. So the slope of the perpendicular line should be negative reciprocal of -1/4, then it is 4
Given m = 4, y = 3, x = -1
y = mx + b
3 = 4(-1) + b
3 = -4 + b
b = 7
y = 4x + 7
change the subject. make x the subject
When the subject is changed for x, the equation is x = 1 - 1/(1 - (1/(1 - y)^2)))
How to change the subject and make x the subject?The equation is given as
x = 1 - 1/(1 - (1/(1 - y)^2)))
The question implies that we change the subject and make x the subject
However, in the equation;
The subject of the equation is x
This means that when the subject is changed for x, the equation is x = 1 - 1/(1 - (1/(1 - y)^2)))
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30 ones, 2 thousands, 4 hundred thousands, 60 tens and 100 hundreds what number am I?
Answer:
602,630
Step-by-step explanation:
marco counts the sides on four quadrilaterals and three pentagons how sides does he count'
Answer: 31 sides
Step-by-step explanation: 4 sides per quadrilateral so 16 sides and 5 sides per pentagon so 15 sides. 16 + 15 = 31.
a) A software organisation employs 80,000 staff members. 16,000 employees are in the sales team, 24,000 are in the customer support team and 14,000 are in the software development and HR departments. What percentage of the organisation’s employees are a part of the finance team, if the size of the finance team makes up two-fifths of the remainder?
The organization’s employees are a part of the finance team, if the size of the finance team makes up two-fifths of the remainder is 13%
What is the number of employees who are regarded as remainder?
The number of employees out of the total workforce left after having deducted the number of employees making up the sales team, the customer support team the software development and HR departments is computed as shown below:
remainder of workforce=80,000-16,000-24,000-14,000
remainder of workforce=26,000
finance team=2/5*26000
finance team=10,400
finance team as % of total workforce=10,400/80,000
finance team as % of total workforce=13.00%
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