Answer:
30
Step-by-step explanation:
3n-2+5n=8n-2
8(4)-2=32-2=30
Answer:
12 - 2 = 10 + 20 = 30
Already simplified it.
What expression can be used to solve 2/5 divided by 3/4 = ?
Move numbers and a symbol to the boxes to show the expression.
Answer:
0.53 then, search up 0.53 as a fraction and that's your answer. subscribe to amiredagoat Yt
Step-by-step explanation:
A rectangular tank, 3m long, 2m broad and 1m deep, is filled with water to a depth of 3/4m. How any bricks measuring 1/5m by 1/8m by 1/10m can be put into it before the water overflows?
A rectangular tank 3600 bricks measuring 1/5m by 1/8m by 1/10m into the tank before the water overflows.
To find bricks can be put into the tank before the water overflows, the volume of water in the tank and then determine the volume of each brick.
The volume of water in the tank length, width, and depth:
Volume of water = length × width × depth = 3m × 2m × (3/4)m
The volume of each brick:
Volume of each brick = length × width × height = (1/5)m × (1/8)m × (1/10)m
Divide the volume of water in the tank by the volume of each brick:
Number of bricks = (Volume of water) / (Volume of each brick)
Now let's substitute the given values into the formulas and
Volume of water = 3m × 2m × (3/4)m = 9/2 m³
Volume of each brick = (1/5)m × (1/8)m × (1/10)m = 1/400 m³
Number of bricks = (9/2 m³) / (1/400 m³)
= (9/2) / (1/400)
= (9/2) × (400/1)
= 9 × 400 / 2
= 3600
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X+1
If g(x) =
X-2 and h(x) = 4 - X, what is the value of (g•h)(-3)?
8/5
5/2
15/2
18/5
Answer: the correct answer is: 8/5
Step-by-step explanation: just took the quiz.
Where is the horizontal center of mass of the entire upper extremity?
Answer:
can you tell me please
Step-by-step explanation:
nicest
Find the length of the rectangle.
The area of the rectangle is fifty-six square miles. The width of the rectangle is seven miles. The length of the rectangle is L.
A. 21 mi
B. 8 mi
C. 30 mi
D. 4 mi
Answer:
B
Step-by-step explanation:
If the area of the whole rectangle is 56 square miles then just divide that by the width (7). 56 / 7 = 8. Hope this helps!
A right cylinder has a circumference of 14π cm. Its height is 3 times the radius. Identify the lateral area and the surface area of the cylinder.
L = 923.6 cm2 ; S = 1231.5 cm2
L = 967.6 cm2 ; S = 1231.5 cm2
L = 294 cm2 ; S = 392 cm2
L = 461.8 cm2 ; S = 967.6 cm2
Answer:
L=923.6 cm2 ; S =1231.5 cm2
Explanation:
L=2πR
L=14π
2πR=14π
R=14π/2π=7 - the radius
h=3R=3*7=21 -the height
S(l)=2πRh=Lh=14π*21=294π≈923,6 - the lateral area
S(s)=2πR²+Lh=2π*7²+294π=2π*49+294π=98π+294π=
=392π≈1231,5 -the surface area
24 is 75% percent of what number?
Answer:
32
Step-by-step explanation:
We can call the number x. 75% can be expressed as 0.75 so we can write the following equation: 0.75x = 24. Dividing both sides by 0.75 to get rid of the coefficient of x, we get that x = 32.
Answer:
32.
Step-by-step explanation:
Let's say the number we are trying to find is x.
24 = 0.75x
0.75x = 24
x = 24 / 0.75
x = 32
Hope this helps!
Area of triangle with height is on clear
The Area of triangle with the given height 10 cm and base 6 cm is calculated to be 30 square centimeters.
To calculate the area of a triangle with height 10 cm and base 6 cm, we can use the formula:
Area = (1/2) x Base x Height
Substituting the given values, we get:
Area = (1/2) x 6 cm x 10 cm
Area = 30 square cm
Therefore, the area of the triangle is 30 square centimeters.
We can see that the area of the triangle is calculated by multiplying the base and height and then dividing the result by 2. In this case, the height of the triangle is 10 cm and the base is 6 cm, so the area is 30 square cm. This formula can be used to calculate the area of any triangle, regardless of its size or shape.
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The complete question is :
Calculate the Area of triangle with the height 10 cm and base 6 cm .
Identify the scale factor used to dilate the image
The required bigger triangle is dilated with a scale factor of 3/7 to form a smaller triangle.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
here,
To determine the scale factor for the given figure we have to determine the ratio of any corresponding sides,
So,
Scale factor = 12/28
Scale factor = 3/7
Thus, the required bigger triangle is dilated with a scale factor of 3/7 to form a smaller triangle.
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The image in the question is missing, so the image attached is the suggested image of the solution given above.
Please answer ASAP I need to know
Here is my answer. I hope this is helpful.
I’m trying to figure out this question but can’t need help asap
Answer:
bottom right rectangle: 5x − y
bottom circle: 6x
Step-by-step explanation:
First, solve for the bottom right rectangle by finding the difference between the top right rectangle and the middle right circle:
(9x + 4y) − (4x + 5y)
= (9x − 4x) + (4y − 5y)
= 5x − y
Next, to find the bottom circle, add the bottom left rectangle with the bottom right rectangle (the one we just solved for):
(x + y) + (5x − y)
= (x + 5x) + (y − y)
= 6x
The polygons are similar. Find the value of x.
2-
Р
X
X
20
21
14
5
Q 12 R
L
18
K
For the given similar polygons, the value of x equal to 30.
Similar PolygonsTwo polygons are classified as similar when their angles are congruent and their sides are proportional.
If the polygons of this exercise are similar. You can write:
\(\frac{LK}{QR}=\frac{JK}{PR}=\frac{JL}{PQ}\)
Then,
\(\frac{LK}{QR}=\frac{JK}{PR}=\frac{JL}{PQ}\\ \\ \frac{18}{12}=\frac{x}{20}=\frac{21}{14}\)
It is possible to note that the scale factor is \(\frac{3}{2}\). See it.
\(\frac{18:6}{12:6}=\frac{3}{2} \\ \\ \frac{21:7}{14:7}=\frac{3}{2}\)
Therefore, you can find x from:
\(\frac{18}{12}=\frac{x}{20}\\ \\ 12x=18*20\\ \\ 12x=360\\ \\ x=\frac{360}{12} =30\)
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Solve the system of equations using elimination.
2x +y=10
-2x+2y = 5
A (7.5, – 5)
B(-2.5, -5)
C (2.5, 5)
So just plug in the numbers (x,y) into the equations.
A) (7.5, -5)
2(7.5) -5 = 10
15 - 5 = 10 yup, this works.
Let's see if it works for other equation.
-2(7.5) + 2(-5) = 5
-15 - 10 = 5 nope, this does not work.
B) (-2.5, -5)
2(-2.5) - 5 = 10
-5 - 5 = 10 nope, doesn't work
Since it doesn't work we don't need to try for other equation.
C) (2.5, 5)
2(2.5) + 5 = 10
5 + 5 = 10 yup, this works.
Now the other equation.
-2(2.5) + 2(5) = 5
-5 + 10 = 5 and this works.
So the solution to this set is answer choice C
If a = 27, b = -10 and c = 40, show that a-(6-c) +(a - b)-C.
Answer:
58
Step-by-step explanation:
a = 27, b = -10 and c = 40
= a - (6 - c) + (a - b) - C
= 27 - (6 - 40) + (27 - (-10)) - 40
= 27 - (-34) + (37) - 40
= 27 + 34 + 37 - 40
= 58
\(\huge\textsf{Hey there!}\)
\(\large\textsf{a - (6 - c) + (a - b) - c}\)
\(\large\textsf{= 27 - (6 - 40) + (27 - (-10)) - 40}\)
\(\large\textsf{6 - 40 = \bf -34}\)
\(\large\textsf{= 27 - (-34) + (27 - (-10)) - 40}\)
\(\large\textsf{= 27 + 34 + 27 + 10 - 40}\)
\(\large\textsf{27 + 34 = \bf 61}\)
\(\large\textsf{= 61 + 27 + 10 - 40}\)
\(\large\textsf{61 + 27 = \bf 88}\)
\(\large\textsf{88 + 10 - 40}\)
\(\large\textsf{88 + 10 = \bf 98}\)
\(\large\textsf{98 - 40}\)
\(\large\textsf{= \bf 58}\)
\(\boxed{\boxed{\large\textsf{Answer: \huge \bf 58}}}\huge\checkmark\)
\(\large\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Give three pros and cons of getting a pug, and the same for a poodle.
Answer:
Step-by-step explanation:
pugs;
pros= Pugs are small in size and thus, making them suitable for small-sized rooms or apartments. Pugs have a friendly and lapdog temperament, get along well with most people and pets. Pugs are low to medium-shed breeds, which implies you are less likely going to be troubled with shedding.
cons= Pugs are prone to various throats, ears, eyes, folds, facial infections, and breathing troubles; hence they will require regular health check-ups. Pug dogs are not highly trainable – it will be difficult to train a pug to do not-so-easy activities even if you hire a professional.
poodle;
pros=They don't shed. Poodles have long hair, instead of fur so they do not shed. ...
They're easy to train. The poodle's intelligence and eagerness to please make them easy to train. ...
They're good with children or other dogs. ...
They make great service dogs or therapy dogs.
cons= Their hair requires some serious maintenance. Because poodles can grow their hair long, they require a lot more maintenance than breeds with short, flat coats. ...
They require a lot of mental stimulation. ...
They can be emotionally sensitive.
Answer: brainliest please!
Pros of a Pug
! Pugs are small in size and thus, making adaptable small-sized rooms or apartments.
! Pugs have a friendly temperament and get along well with other people/pets.
! Pugs are low to medium-shed breeds which mean you are less likely going to be troubled with shedding.
! Can take simple commands without hiring a professional trainer/ train on your own
Cons of a Pug
! Gains weight easily and lack of daily exercises like a walk or run can easily have them gain weight and affect their health.
! Pug dogs are not highly trainable ~ can do simple tricks like:
sit, stand, run, fetch but not complicated ones
! Health risks ~ Pugs are prone to throat, ears, eyes, facial infections, and breathing troubles :; hence they will require regular health check-ups.
````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
Pros of Poodle
! They don’t shed. Poodles have long hair, instead of fur so they do not shed.
! super easy to train compared to pugs and easily learn hard tricks and so.
! They're good with children or other dogs
! They make great service dogs or therapy dogs
Cons of Poodle
! Their hair requires some serious maintenance
! They can be emotionally sensitive
! IMPORTANT - They require a lot of mental stimulation
These pups have trained to live a luxurious lifestyle they’re rarely content to live as lap dogs. They will use their intelligence for less desired behaviors like digging, chewing, or excessive barking. If your lifestyle doesn’t allow you to provide ample mental stimulation for your dog, it might be worth considering another breed.
A ribbon surrouds the edge of a circular hat that has a radius of 8 inches. Find the length of the ribbon tot he nearest tenth.
The length of the ribbon to the nearest tenth is 50.3 inches.
To find the length of the ribbon that surrounds the edge of a circular hat that has a radius of 8 inches, we can use the formula for the circumference of a circle.
The formula for the circumference of a circle is given by the following:
C = 2πr
Where C represents the circumference of the circle, π represents the constant value of pi which is approximately equal to 3.14, and r represents the radius of the circle.
Given that the circular hat has a radius of 8 inches, we can use this value to find the circumference of the circle.
Hence, we have: r = 8 inches
C = 2πr
C = 2π(8)C = 16π
The length of the ribbon that surrounds the edge of the circular hat is equal to the circumference of the circle. Therefore, the length of the ribbon is:16π ≈ 50.3 inches (to the nearest tenth)
Therefore, the length of the ribbon to the nearest tenth is 50.3 inches.
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The independent variable of interest in an ANOVA procedure is called a Select one: O a. partition. O b. treatment. Oc. response. d. factor.
The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).
The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).
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In a rectangle ABCD if AB=4x and DC=7x-9,find the length of AB.(Lengths are in cm).
Answer:
12 cm
Step-by-step explanation:
AB and DC are parallel to each other, so they are the same length. Set their lengths equal to each other and solve for x
4x = 7x - 9
4x - 7x = 7x - 7x -9
-3x = -9
-3x/-3 = -9/-3
x = 3
Now solve for AB.
AB = 4x
AB = 4(3)
AB = 12
Suppose that the functions f and g are defined for all real numbers x as follows. f(x)=2x−1 g(x)=3x Write the expressions for (f+g)(x) and (f⋅g)(x) and evaluate (f−g)(4).
The expressions for (f+g)(x)=5x-1, (f⋅g)(x)=6x²-3x and the value of (f-g)(4) is -5.
The given functions are f(x)=2x-1 and g(x)=3x.
Here,
(f+g)(x)= f(x)+g(x)
= 2x-1+3x
= 5x-1
(f·g)(x)=f(x)×g(x)
= (2x-1)×3x
= 2x×3x-1×3x
= 6x²-3x
(f-g)(4)
Here, (f-g)(4)=f(4)-g(4)
= 2×4-1-3×4
= 8-1-12
= -5
Therefore, the expressions for (f+g)(x)=5x-1, (f⋅g)(x)=6x²-3x and the value of (f-g)(4) is -5.
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Amanda Roberts works a Monday through Friday work week at a rate of $8.75 per hour. She takes a 1- hour lunch break. If she clocks in each day at 8:45 am and leaves at 5:15 pm, what is her total pay for the week?
Answer:
$328.13
Step-by-step explanation:
First, find the amount of time she works every day.
Between 8:45 and 5:15, there are 8.5 hours.
Subtract 1 for her lunch break, so there are 7.5 hours worked every day
Then, calculate how much she gets every day:
7.5(8.75)
= $65.625
Multiply this by 5 to find her pay for the week:
65.625(5)
= $328.13 is her total pay for the week
The total pay for the week will be $318.75.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Amanda Roberts works a Monday through Friday work week at a rate of $8.75 per hour. She takes a 1- hour lunch break. If she clocks in each day at 8:45 am and leaves at 5:15 pm.
The number of hours from 8:45 am to 5:15 pm will be 8.5 hours.
And the number of working days will be 5.
Then the total pay for the week will be
⇒ $8.75 x 5 x (8.5 - 1)
⇒ $8.75 x 5 x 7.5
⇒ $318.75
The total pay for the week will be $318.75.
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Here are a pair of equations. 3k +2j = 22 2k - j = 3 Is k = 4 and j = 5 a solution to both these equations? Give a reason for your answer.
The solution to both these equations are k = 4 and j = 5
The equation is an expression, shows the relationship between two or more numbers and variables.
We are given that pair of equations.
3k +2j = 22
2k - j = 3
Solving it;
2k - j = 3
j = 2k - 3
Therefore,
3k +2(2k - 3) = 22
3k + 4k - 6 = 22
7k = 22 + 6
7k = 28
k = 4
And
2(4) - j = 3
j = 8 -3
j = 5
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The Moon is 4,530,000,000 years in scientific notation
Answer:
4.53 * 10⁹
Step-by-step explanation:
4530000000 = 4.53 * 10⁹
Calvin practices a 100-meter swim each day. He recorded his finish times, in seconds, in the dot plot below.
Answer:
e
Step-by-step explanation:
Answer:
D.)
E.) and
A.)
Step-by-step explanation:
Za and Zb are complementary angles. Za measures 37°. What is the measure of Zb?
Answer:
Zb= 54°
Step-by-step explanation:
Complementary angles add up to 90°
90-37=54
please help Me make sure you put the correct answer
Answer:
26
Step-by-step explanation:
3*8=24+2=26
To the nearest hundredth, find the area of a circle with a circumference of 69.08 feet. Use 3.14 for π.
Answer:
The radius would be 11ft.
Step-by-step explanation:
So what we need to do is, 69.08 divided by π (3.14) which equals to 22. 22ft is the diameter but we are looking for the radius, so we need to divide that by 2 which is 11ft.
Hope that helps. x ps. Love the fact the picture is upside down :)
the scores for a reference population on a intelligence scale for kids company are approximately normally distributed with a mean of 120 and a standard deviation of 20. what is the interquartile range of this company scores for the reference population?
Therefore, the interquartile range of the company scores for the reference population is approximately 26.96.
To find the interquartile range (IQR) of the intelligence scores for the reference population, we need to calculate the difference between the third quartile (Q3) and the first quartile (Q1).
Since the scores are normally distributed with a mean of 120 and a standard deviation of 20, we can use the properties of the normal distribution to determine the quartiles.
The first quartile, Q1, corresponds to the 25th percentile, which is located at z = -0.674. We can calculate the value of Q1 as:
Q1 = mean + z * standard deviation = 120 + (-0.674) * 20 = 120 - 13.48 = 106.52
Similarly, the third quartile, Q3, corresponds to the 75th percentile, which is located at z = 0.674. We can calculate the value of Q3 as:
Q3 = mean + z * standard deviation = 120 + (0.674) * 20 = 120 + 13.48 = 133.48
Finally, we can calculate the interquartile range (IQR) as the difference between Q3 and Q1:
IQR = Q3 - Q1 = 133.48 - 106.52 = 26.96
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our boss is a biologist who needs wood samples from long-leaf pine trees with a fungal disease which is only visible under a microscope, and she sends you on an assignment to collect the samples. She wants at least 50 different diseased samples. She tells you that approximately 28% of long-leaf pine trees currently have the fungal disease. If you sample 160 long-leaf pine trees at random, what is the probability you’ll have at least 50 diseased samples to return to your boss? (Use the normal approximation to calculate this probability and chose the closest answer to the question.)
Answer:
Step-by-step explanation:
In this scenario, the probability of success, p is 28% = 28/100 = 0.28
Number of samples, n = 160
Probability of failure, q = 1 - p = 1 - 0.28 = 0.72
Mean,µ = np = 0.28 × 160 = 44.8
Standard deviation, σ = √npq = √160 × 0.28 × 0.72 = 5.68
Let x be the random variable representing the number of wood samples from long-leaf pine trees with a fungal disease. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
the probability that you’ll have at least 50 diseased samples to return to your boss is expressed as
P(x ≥ 50) = 1 - P(x < 50)
For P(x < 50)
z = (50 - 44.8)/5.68 = 0.91
Looking at the normal distribution table, the probability corresponding to the z score is 0.819
Therefore,
P(x ≥ 50) = 1 - 0.819 = 0.181
The dual bar chart below shows the results of a survey asking a group
of 140 people about their favourite pet.
Given that 40 people said
that cats were their favourite
pets, complete the table.
Favourite pet Frequency
Cat
40
Frequency
Dog
Hamster
Other
Cat
Dog Hamster Other
Favourite pet
Answer:
Frequency of people who like DOGS = 55
Frequency of people who like HAMSTERS = 20
Frequency of people who like OTHERS = 25
Step-by-step explanation:
(As the dual bar chart is not given in the question, it is incomplete. The dual bar chart of this question is attached below)
No. of people who like CAT = 40
From the chart, we can see that the number of men and number of women who like CAT are equal.
Which means that out of 40 people, 20 men like CAT and 20 women like CAT.
Considering that 20 men like CAT, the bar chart of men who like CAT has a frequency 20. If we see the chart of men who like CAT, it takes 4 vertical steps to get to the frequency of 20, which means that 1 step represents 20/4= 5.
One vertical step has a frequency of 5
DOGS:
One vertical step has means a frequency of 5
Men who like DOGS = 5 steps = 5(5) = 25 Men
Women who like DOGS = 6 steps = 6(5) = 30 Women
Total people who like DOGS = 25 Men + 30 Women = 55 people
HAMSTERS:One vertical step has means a frequency of 5
Men who like HAMSTER = 3 steps = 3(5) = 15 Men
Women who like HAMSTER = 1 steps = 1(5) = 5 Women
Total people who like HAMSTER = 15 Men + 5 Women = 20 people
OTHERS:One vertical step has means a frequency of 5
Men who like OTHERS = 2 steps = 2(5) = 10 Men
Women who like OTHERS = 3 steps = 3(5) = 15 Women
Total people who like OTHERS = 10 Men + 15 Women = 25 people
Answer:
Frequency of people who like DOGS = 55
Frequency of people who like HAMSTERS = 20
Frequency of people who like OTHERS = 25
The product of 2√ 3 and 3√12 in simplified form is .
Answer:
36
Step-by-step explanation:
Rewrite this as
(2)(3)(√3)(√12), or
6 * √36, or
6 * 6 = 36