the last one is- 5/6 0.8333 %0.8333
3/5 0.6 %0.6
1/5 0.2 %0.2
1/4 0.25 %0.25
Hope this helps you!! :)
solve the linear equation 4x-(2x-1)=x+5+x-6
The linear equation doesn't have a solution.
How to compute the value?The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6
This will be solved thus:
4x - 2x + 1 = x+5+x-6
4x - 2x + 1 = 2x - 1.
2x + 1 = 2x - 1
Collect like terms
2x - 2x = -1 - 1
0 = -2
This illustrates that the equation doesn't have a solution.
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What is the center of MN given M(3, -1) and N(7,-5)
Answer:
(5, -3)
Step-by-step explanation:
So the center of the two points, or a line can be defined using the equation: \(midpoint=(\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})\). So using the two points you gave, you simply plug the values in to get
\(midpoint=(\frac{3+7}{2}, \frac{-1+(-5)}{2})\\\)
Add numerators:
\(midpoint=(\frac{10}{2}, \frac{-6}{2})\)
Simplify fraction:
\(midpoint=(5, -3)\)
Train A runs back and forth on an east-west section of railroad track. Train A’s velocity, measured in meters per minute, is given by a differentiable function vA(t) where time t is measured in minutes. Selected values for vA(t) are given in the table below.t (Minutes) 0 2 5 8 12vA(t)(meters/minute) 0 100 40 -120 -150Find the average acceleration of train A over the interval 2 ≤ t ≤ 8.
The average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.
Explanation:
The average acceleration of a body over a given time interval is defined as the change in velocity divided by the time interval. In this case, we are given the velocity function vA(t) for Train A, and we want to find its average acceleration over the interval 2 ≤ t ≤ 8.
To find the change in velocity over this interval, we can subtract the velocity at t=2 from the velocity at t=8:
Δv = vA(8) - vA(2) = (-120) - 100 = -220 meters per minute
To find the time interval, we can subtract 2 from 8:
Δt = 8 - 2 = 6 minutes
Now we can use the formula for average acceleration:
a = Δv/Δt = (-220)/6 = -40 meters per minute squared
Therefore, the average acceleration of Train A over the interval 2 ≤ t ≤ 8 is -40 meters per minute squared.
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there are 30 people in student council that are running for the offices of president and vice president. in how many different ways can those offices be assigned?
Answer: Assuming that it matters which one is president and which is vice president, and the same person cannot be assigned both posts, the answer is 30*29, or 870.
Step-by-step explanation:
Blue crabs are known to have a body length that follows a normal distribution with a mean of 9 inches and a standard deviation of 3.5 inches.
d. A fisherman wants to go out and catch 2 blue crabs. What is the probability that BOTH crabs are under 10 inches? (Hint: consider that the length of any one blue crab is independent of the length of another blue crab) (input your answer in % form without the % sign. for example, if you get .123 or 12.3% input 12.3)
The probability that both blue crabs are under 10 inches is approximately 37.4%.
To find the probability that both blue crabs are under 10 inches:
We need to consider the normal distribution, mean, and standard deviation of their body lengths.
The body length of blue crabs follows a normal distribution with a mean of 9 inches and a standard deviation of 3.5 inches.
Step 1: Find the z-score for 10 inches.
z = (X - mean) / standard deviation
z = (10 - 9) / 3.5
z = 1 / 3.5
z ≈ 0.286
Step 2: Look up the z-score in a standard normal distribution table or use a calculator to find the probability associated with the z-score.
P(Z ≤ 0.286) ≈ 0.612
Step 3: Since the lengths of blue crabs are independent, multiply the probability of one crab being under 10 inches by itself to find the probability of both crabs being under 10 inches.
P(both crabs under 10 inches) = P(1st crab under 10 inches) * P(2nd crab under 10 inches)
P(both crabs under 10 inches) = 0.612 * 0.612
P(both crabs under 10 inches) ≈ 0.374
Therefore, the probability that both blue crabs are under 10 inches is approximately 37.4%.
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The probability that both blue crabs are under 10 inches is approximately 37.4%.
To find the probability that both blue crabs are under 10 inches:
We need to consider the normal distribution, mean, and standard deviation of their body lengths.
The body length of blue crabs follows a normal distribution with a mean of 9 inches and a standard deviation of 3.5 inches.
Step 1: Find the z-score for 10 inches.
z = (X - mean) / standard deviation
z = (10 - 9) / 3.5
z = 1 / 3.5
z ≈ 0.286
Step 2: Look up the z-score in a standard normal distribution table or use a calculator to find the probability associated with the z-score.
P(Z ≤ 0.286) ≈ 0.612
Step 3: Since the lengths of blue crabs are independent, multiply the probability of one crab being under 10 inches by itself to find the probability of both crabs being under 10 inches.
P(both crabs under 10 inches) = P(1st crab under 10 inches) * P(2nd crab under 10 inches)
P(both crabs under 10 inches) = 0.612 * 0.612
P(both crabs under 10 inches) ≈ 0.374
Therefore, the probability that both blue crabs are under 10 inches is approximately 37.4%.
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Plz hurry will mark brainlyest.
Answer:62
Step-by-step explanation:
The table shows the balance (in dollars) of a bank account each month for three months. What is the average balance of the account?
Month
1$1375.27
2$953.86
3 $1047.79
The average balance in the bank account is $1,125.64.
What is average?In plain English, an average is a single number chosen to represent a group of numbers; it is typically the sum of the numbers divided by the number of numbers in the group. The average of the numbers 2, 3, 4, 7, and 9 is, for instance, 5. Average The arithmetic mean is calculated by adding a set of numbers, dividing by their count, and then taking the result. For instance, the result of 30 divided by 6 is 5, which is the average of 2, 3, 3, 5, 7, and 10.So, the average balance of the account will be:
Average formula: A = sum of terms/Number of termsFill in the values and solve as follows:
A = sum of terms/Number of termsA = 1375.27 + 953.86 + 1047.79/3A = 1375.27 + 953.86 + 1047.79/3A = 3,376.92/3A = $1,125.64Therefore, the average balance in the bank account is $1,125.64.
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Arianna bought 8 postcards during 2 days of vacation. How many days will Arianna have to spend on vacation before she will have bought a total of 16 postcards? Solve using unit rates.
Answer:
4 days
Step-by-step explanation:
8 postcards being bought every two days. in four days there will be 16
HELP!!!! I NEED TO SUBMIT THIS WITHIN 3 HOURS!!!!!!
At a dinner party, two desserts are being served. Six of the guests choose cheesecake, and eight of the guests choose apple pie. Write two associated part-to-whole ratios for this situation, in simplest form. Then, interpret these ratios within the situation.
Answer:
6:8, 3:4
hope this helps, im not sure if im correct tho sorry
Step-by-step explanation:
thank you for help ✨
Answer:
7 m
Step-by-step explanation:
Corresponding sides of similar triangles are in same ratio.
\(\dfrac{QR}{SR}=\dfrac{QP}{ST}\\\\\dfrac{y}{8}=\dfrac{3}{6}\\\\y=\dfrac{3}{6}*8\\\\y=4\\\\\\\)
\(\dfrac{x}{1.5}=\dfrac{6}{3}\\\\x =\dfrac{6}{3}*1.5\\\\x=3\)
x + y = 3 + 4 = 7
Answer:
i think your answer is 7
$10 for 4 cans of soup what is the ratio
The ratio of cost to the number of cans = 5: 2
What is the ratio:A ratio is a mathematical concept that represents the relationship between two or more values.
In the given problem, the ratio represents the relationship between the cost of the soup and the number of cans purchased.
Ratios are commonly used in mathematics, finance, and other fields to express comparisons and relationships between different quantities.
Here we have
$10 for 4 cans of soup
The required ratio can be formed as follows
=> 10: 4
=> 10/2: 4/2 [ Divided by 2 ]
=> 5: 2
Therefore,
The ratio of cost to the number of cans = 5: 2
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find the slope
(x, -4) and (2, 8); m = -3
Answer:
x=6
slope (m) = -3
Step-by-step explanation:
make y the subject of the following :
Step-by-step explanation:
we first square both sides to eliminate the square root brackets..
(√(m(y+n)/y)²= p²
m(y+n)/y = p²
(my +mn)/y =p²
so we multiply both sides by y to eliminate the denominator,
(my+mn)/y*y =p²*y
my+mn = p²y
collecting like terms,we have:
mn= p²y-my
so we seperate the y on the right hand side from the rest to have
mn = y(p²-m)
so divided both sides by the value in the bracket on the right hand side we have..
mn/(p²-m)=y(p²-m)/(p²-m)
so we have,
y= mn/(p²-m)
Answer:
y = \(\frac{-mn}{m-p^2}\)
Step-by-step explanation:
Given
\(\sqrt{\frac{m(y+n)}{y} }\) = p ( square both sides )
\(\frac{m(y+n)}{y}\) = p² ( multiply both sides by y )
m(y + n) = p²y ← distribute parenthesis on left side
my + mn = p²y ( subtract p²y from both sides )
my - p²y + mn = 0 ( subtract mn from both sides )
my - p²y = - mn ← factor out y from each term on the left side
y(m - p²) = - mn ← divide both sides by (m - p²)
y = \(\frac{-mn}{m-p^2}\)
Your locker contains x textbooks, 3 more notebooks than textbooks, twice as many pencils as notebooks, and 4 times as many candy bars as pencils.
Answer:
What is the full question?
Find the value of x. Round to the nearest hundredth. 7 11 x
help!! help!! help!! help!! help!! help!! help!! help!! help!!
Answer:
Please answer my question
Answer:
a = 15, b = - 14
Step-by-step explanation:
Given the 2 equations
\(\frac{a}{5}\) - \(\frac{b}{2}\) = 10 ( multiply through by 10 to clear the fractions )
2a - 5b = 100 → (1)
a - b = 29 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the a- term
- 2a + 2b = - 58 → (3)
Add (1) and (3) term by term to eliminate a
0 - 3b = 42
- 3b = 42 ( divide both sides by - 3 )
b = - 14
Substitute b = - 14 into (2) and evaluate for a
a - (- 14) = 29
a + 14 = 29 ( subtract 14 from both sides )
a = 15
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Help -
The park in Springtown has a 2.13 km hiking trail. How many miles long is the hiking trail? (1 km =
0.6214 miles)
Answer:
1.32
Step-by-step explanation:
we have the known,
2.13 km * 0.6214 miles = 1.323521 or 1.32 miles
1 km
Factorise;
2x^2 - 32y^2
Answer:
2(x^2-16y^2)
Step-by-step explanation:
9514 1404 393
Answer:
2(x -4y)(x +4y)
Step-by-step explanation:
Once you factor out the common factor of 2, what remains is the difference of squares. That can be factored further.
The factoring of the difference of squares is ...
a² -b² = (a -b)(a +b)
Then we have ...
2x² -32y² = 2(x² -16y²) = 2(x² -(4y)²)
= 2(x -4y)(x +4y)
what is the probability that the person selected is older than 20 years old and watching the drama movie
The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.
We have,
The total number of people who watch drama.
= 12 + 20 + 19
= 51
The total number of people who is older than 20 years who watch drama.
= 20 + 19
= 39
Now,
The probability that the person selected is older than 20 years old and watching the drama movie.
= 39/51
= 0.765
Thus,
The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.
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A triangle has sides with lengths of 15 kilometers, 17 kilometers, and 20 kilometers. Is it a right triangle?
Answer: no
Step-by-step explanation:
use pythagorean theorem.
you can use a^2+b^2=c^2
the biggest value is always c(the hypotenuse) -> c=20
a and b would be 15 and 17(doesn't matter which is which)
plug it into the equation -> 15^2+17^2=20^2
225+289=400
514≠400
so no, it's not a right triangle
A bag contains 20 pink candies, 8 red candies, and 12
green candies. Without looking, Sarah pulls out a piece of
candy. Which color of candy is least likely to be pulled
out?
Answer:
The red marbles.
Step-by-step explanation:
It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.
Perform the indicated operation.
5/8 + 7/12
Answer:
29/24 or 1 5/24 as a mixed number.
Step-by-step explanation:
5/8 + 7/12
The LCM of 8 and 12 is 24 so we have:
(3*5) / 24 + (2*7) / 24
= 15/24 + 14/24
= 29/24
Answer:1 5/24
Step-by-step explanation:
each platform varies in the number of videos or images that can be added for a carousel ad, but the range is limited to what number?
The maximum limit to add the videos or images in Carousel is 10MB and the aspect ratio to add the images or videos is 1:1
There are many applications that are present where the videos and images can be added in the websites. The maximum images in the in few website is nine, but in carousel is 10MB of size and also it can be added up to 1:1 ratio of aspect size. The Carousel also allows the user to add slides and images. It helps to add the graphical representation.
The size of the videos must be from 60 seconds to 30 seconds of size and also the video includes the visual templets that help the user to have the presentation in an effective ways. There are many templets that also helps the user to present in a professional way. The carousel is a cloud representation that helps to create the slideshow online and also present it in the blockage videos. The online photos and images can also be added.
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2 Find the vertex of the function and identify it as a maximum or a minimum
y-5=(1/3)(x + 2)²
O (-2,5) Maximum
(-2, 5) Minimum
O (2,-5) Maximum
O (2,-5) Minimum
2 of 10
(-2, 5) Minimum
Step-by-step explanation:
y-5=(1/3)(x + 2)²
y-5=(1/3)(x²+4x+4))
y-5=1/3x²+4/3x+4/3
y=1/3x²+4/3x+4/3+5
y=1/3x²+4/3x+4/3+15/3
y=1/3x²+4/3x+19/3
graph is attached
x= -b/2a
x= (-4/3)/2(1/3)
x= (-4/3)/(2/3)
x= (-4/3)*(3/2)
3's cancel
x= (-4/1)*(1/2)
x = -4/2
x = -2
plug -2 back into
y=1/3x²+4/3x+19/3
y=1/3*4+4/3*-2+19/3
y=4/3-8/3+19/3
y=15/3
y=5
(-2,5)
if a is positive
graph looks like a smile
so minimum
if a is negative
graph looks like a frown
so maximum
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Create a word problem that the equation 4x + 32 = 164 could represent.
It is a hot summer day, and Jade is trying to save money to buy a new shoe. She has 32 dollars, and she plans to sell smoothies at her neighborhood for four dollars a cup. At the end of the day, she is left with a total of 164 dollars in her wallet. How many smoothies did Jade sell?
What is the surface area of the rectangular prism below
7 7 14
A.496 B.490 C.980 D.248
Answer:
B
Step-by-step explanation:
Formula
SA = 2*L*W + 2*L*H + 2*H*W
Givens
L = 14
W = 7
H = 7
Solution
SA = 2*14*7 + 2*14*7 + 2*7*7
SA = 196 + 196 + 98
SA = 490
7
Find mzx.
X (2x + 22)°
(9x – 15)
Z
Y
(4x + 11)
W
Answer:
Step-by-step explanation:
490 divided by 5 = what is the sum
The sum of 490 divided by 5 is 98.
To find the sum of 490 divided by 5, we need to perform the division operation and then add up the quotient and the remainder, if any.
When we divide 490 by 5, we get a quotient of 98.
There is no remainder because 490 is evenly divisible by 5. So, the quotient is the whole number result of the division.
To find the sum, we add the quotient and the remainder, if any.
In this case, there is no remainder, so the sum is simply the quotient: 98.
Therefore, the sum of 490 divided by 5 is 98.
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Which statement is true?
A. When there is no outlier, the mean is skewed in one direction.
B. When there is no outlier, the median is skewed in one direction.
C. When there is no outlier, the mean is the appropriate measure of
center.
D. When there is no outlier, the median cannot be used as the
measure of center.
C. When there is no outlier, the mean is the appropriate measure of center.
When there are no outliers in a dataset, the mean is a good measure of center because it takes into account the values of all the data points. The median is also a good measure of center, but it may not be the best choice if there are extreme values or outliers in the dataset, as it can be influenced by those values. However, when there are no outliers, both the mean and the median are appropriate measures of center.
Option A is not true because the mean is not skewed in one direction when there is no outlier. Skewness refers to the shape of the distribution, and it can be affected by outliers, but not by the absence of outliers.
Option B is not true because the median is not skewed in one direction when there is no outlier. Skewness refers to the shape of the distribution, and the median is not affected by the shape of the distribution, but by the position of the values.
Option D is not true because the median can be used as the measure of center even when there is no outlier. It is a robust measure of center that is not influenced by extreme values.
Good morning, i really just had a simple question. I was solving this problem:
"Two children weighing 48 pounds and 72 pounds are going to
play on a seesaw that is 10 feet long."
And it basically was asking me for the equilibrium. I set the problem up like this:
M1=72, M2=48, X1=0, X2=10
X=(72(0)+48(10))/72+48= 480/120
Answer:4 ft
but when i checked the answer, it was 6ft, due to M1= 48, so my question is.....why does the smaller child(48lbs) become M1 as to him being M2
Answer: Your answer is completely correct. It is just that when answering the question, you should assume that the 48 lb child is on the left, and the 72 lb child is on the right. Usually, I always assume that the first mentioned item is the left most one.
Step-by-step explanation:
This is how I will set up the problem: M1 = 48 lbs, M2 = 72 lbs, L = 10 ft
Since (M1 * 0 + M2 * 10)/(M1+M2) = equilibrium, we can use this equation to find the solution:
0 + 720 / (48+72) = 6 feet