Answer:
Exact Form : 6/5
Decimal Form : 1.2
Mixed Nuumber Form ; 1 1/5
Answer:
3/10
Step-by-step explanation:
multiply straight across
Help ASAP! 50 points!
Answer:
B
Step-by-step explanation:
The Uptown Theatre has 43 rows of seats. If each row has 57 seats, how many people can go
to the 4:30 showing of Batman?
Answer:
2451
Step-by-step explanation:
Multiply 43 with 57 and there is your answer.
Answer:
2,451 people.
Step-by-step explanation:
43 times 57 equals 2,451.
A bag contains 9 marbles: 3 are green, 2 are red, and 4 are blue. Kevin chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is blue and the second is green? Write your answer as a fraction in simplest form.
Answer:
The probability of the first marble being blue is 4/9 and the probability of the second marble being green is 2/8 (8 because the first marble you pulled out didn't get put back, therefore you only have 8 marbles to choose from now) and 2/8 in simplest form is 1/4.
"The beautiful thing about learning is that no one can take it away from you." :)
Pls helppp!
9 years ago, when Miko celebrated her birthday with her family, the ratio of the age of Miko to Miko's sister was 5 : 7. This year, the ratio of the age of Miko to Miko's sister is 4 : 5. How old is Miko now?
A tank can be filled by an inlet pipe in 12 hours and emptied by a drain pipe in 16 hours. How long will it take to fill the tank if both pipes are left open?
It will take 48 hours, to fill the tank if both pipes are left open simultaneously.
We are given the following data -
The time taken to fill the tank by inlet pipe = 12 hrs
so, the rate of filling = 1/12
The time taken to empty the tank by drain pipe = 16 hrs
so, the rate of emptying = - 1/16
Therefore, the total work done by both pipes can be given by the following formula -
(1/rate of filling) + (1/rate of emptying) = (1/rate of net change)
1/12 + (-1/16) = (1/Rn)
Therefore, (1/Rn) = 1/12 - 1/16 = 1/48
To find how long it will take to fill the tank, we need to find the reciprocal of the rate of net change:
1/Rn = 1/(1/48)
Rn = 48
So it will take 48 hours, to fill the tank if both pipes are left open.
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Maria decorated her notebook with 4 rectangular stickers. Each sticker was 1/2 inches wide and 11/16 inches long
The total area of the stickers is (1/2) x (11/16) x 4 = 11/8 inches squared.
To calculate the total area of the stickers that were used to decorate the notebook, we need to know the dimensions of each sticker. In this case, the stickers were rectangular and each sticker was 1/2 inches wide and 11/16 inches long. To find the total area, we need to multiply the width of each sticker by the length of each sticker and then multiply this number by the number of stickers used. In this example, we have 4 stickers, so we must multiply (1/2) x (11/16) x 4. When this calculation is done, we end up with 11/8 inches squared as the total area of the stickers.
the complete question is :
Maria decorated her notebook with 4 rectangular stickers. Each sticker was 1/2 inches wide and 11/16 inches long
What was the area of each sticker?
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5(5t-2) = -35
show how to solve the given equation
REALLY EASY, WONT TAKE LONG + WILL GIVE BRAINLIEST AND A THANKS !
The order of the scale from smallest to the largest is:
The smallest = 1 inch to 3 yards
The middle : 1 inch to 1.1 yards
The largest : 1 inch to 1 yard
What is the order of the scale?A scale drawing is either a larger or smaller version of a diagram. A scale factor provides information on the unit of conversion between the original image and the scale drawing. A scale factor is the ratio of the length of the scale drawing to the length of the actual drawing.
The first step is to convert the given scale factors to the same units of measurement.
All of the measurements would be converted to yards
1 feet = 3 yards
1 inch to 3 yards
1.1 yards = 1 meter
1 inch to 1.1 yards
1 inch to 1 yard
The smallest = 1 inch to 3 yards
The next : 1 inch to 1.1 yards
The largest : 1 inch to 1 yard
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please help!!! thank you so much whoever does!!
Answer:
32 lbs
Step-by-step explanation:
Given:
1/4 spicy trail mix
3/8 regular trail mix
20 total mix
Math:
1/4 + 3/8 = 5/8
20/ (5/8) = 32
Answer:
32 pounds
Step-by-step explanation:
Fraction of supply for regular trail mix= ⅜
Fraction of supply for spicy trial mix
= ¼
\( = \frac{2}{8} \)
We multiply both the denominator and numerator by 2 for the fraction of supply used for spicy trail mix so that both fractions have a common denominator of 8. This is because the amount of raisins he has in his supply is constant.
Simplifying the above information into units form:
Total (supply)= 8 units
Regular trail mix= 3 units
Spicy trail mix= 2 units
Raisins used this week
= (3 +2) units
= 5 units
Since he used 20 pounds of raisins this week, we can equate 5 units to 20 pounds.
5 units ----- 20 pounds
Divide both sides by 5 to find how much raisins 1 unit represents:
1 unit ----- 20 ÷5= 4 pounds
Since his supply was 8 units of raisins,
8 units ----- 4(8)= 32 pounds
∴ He had 32 pounds of raisins at the beginning of the week.
In each graphic, the triangle was dilated to create the image triangle. Determine which scale factor was used for each dilation by dragging the correct scale factor to each graph.
pls help i well give brllant
The scale factor was used for each dilation are-
Part a: For ΔABC - scale factor = 2Part b: For ΔDEF - scale factor = 1/2Part c: For ΔGHJ - scale factor = 1/3Part d: For ΔKML - scale factor = 3Explain about the dilation:A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.
A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.
Part a: For ΔABC
Length AB = 2 units
Length A'B' = 4 units
A'B' = 2 *AB
Thus, For ΔABC - scale factor = 2
Part b: For ΔDEF -
Length DF = 2 units
Length D'F' = 1 units
D'F' = 1/2 DF
Thus, For ΔDEF - scale factor = 1/2
Part c: For ΔGHJ -
Length GH = 3 units
Length G'H' = 1 units
G'H' = 1/3 GH
Thus, For ΔGHJ - scale factor = 1/3
Part d: For ΔKML -
Length KM = 2 units
Length K'M' = 6 units
K'M' = 3*KM
Thus, For ΔKML - scale factor = 3
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2. Write the sequence based on the recursive formula below
The sequence is 16,26,36 and 46
How to determine the value of the sequenceThe definition of the function is given as
a(1) = 16 and a(n) = a(n - 1) + 10
The above definitions imply that we simply add 10 to the previous term to get the current term
using the above as a guide
so, we have the following representation
a(1) = 16
a(2) = 16 + 10 = 26
a(3) = 26 + 10 = 36
a(4) = 36 + 10 = 46
Hence, the value of a₄ is 45
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The food company is now designing soup cans. They currently make a large can of soup that holds 24oz of soup. They would like to make a single serve can that holds only 8oz of soup. The large can has a surface area of 100.48in². What will the new single serving surface area be? Explain or show your reasoning.
The surface area of the new single-serving soup can, with a volume ratio of 24:8, will be approximately 11.164 square inches.
To determine the surface area of the new single-serving soup can, we can use the concept of ratios and proportions.
Let's assume the radius of the large can is represented by R and the radius of the single-serving can is represented by r.
The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.
We know that the large can has a volume of 24oz, so we have:
24 = πR^2h
Now, we need to find the height of the single-serving can. Since the large can and the single-serving can have the same height (we assume), we can set up a ratio of their volumes:
24/8 = πR^2h / πr^2h
Simplifying the equation, we have:
3 = (R^2h) / (r^2h)
Since the height cancels out, we can rewrite the equation as:
3 = R^2 / r^2
To find the ratio of the surface areas, we square both sides of the equation:
9 = (R^2 / r^2)^2
Now, we can find the surface area ratio:
100.48 / A = 9
Solving for A (the surface area of the single-serving can), we have:
A = 100.48 / 9
Calculating the value, we find that the new single-serving surface area will be approximately 11.164 in².
Therefore, the new single-serving soup can will have a surface area of approximately 11.164 square inches.
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the diameters of ball bearings are distributed normally. the mean diameter is 126126 millimeters and the standard deviation is 33 millimeters. find the probability that the diameter of a selected bearing is greater than 123123 millimeters. round your answer to four decimal places.
The probability that the diameter of a selected bearing is greater than 123 millimeters is 0.4641 (rounded to four decimal places).Hence, the correct option is A) 0.4641.
The given question is asking to find the probability that the diameter of a selected bearing is greater than 123 millimeters, when the diameters of ball bearings are distributed normally with the mean diameter of 126 millimeters and the standard deviation of 33 millimeters.
Given, Mean diameter, µ = 126 millimeters
Standard deviation, σ = 33 millimeters
We need to find the probability that the diameter of a selected bearing is greater than 123 millimeters.
Now, the given distribution is a normal distribution. Therefore, to solve the problem, we will use the z-distribution formula, which is:
z = (x - µ) / σ,
where x is the value of the variable, µ is the mean, and σ is the standard deviation.
We will substitute the given values in the above formula,
z = (x - µ) / σ=> z = (123 - 126) / 33=> z = -0.09
Using a standard normal distribution table, the probability that z is greater than -0.09 is 0.4641, which
(z > -0.09) = 0.4641
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an open-top box is to be made by cutting small congruent squares from the corners of a 10- in.-by-10-in. sheet of tin and bending up the sides. how large should the squares cut from thecorners be to make the box hold as much as possible? what are the dimensions of the box withthe largest volume?
the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.
Let x be the side length of the square cut from each corner of the tin sheet. Then the dimensions of the base of the box will be (10-2x) by (10-2x), and the height of the box will be x. Thus, the volume of the box is given by:
V = (10-2x)^2 * x = 4x^3 - 40x^2 + 100x
To maximize V, we take the derivative of this expression and set it equal to zero:
dV/dx = 12x^2 - 80x + 100 = 0
Solving for x using the quadratic formula, we get:
xx = (80 ± sqrt(80^2 - 4*12*100))/24 ≈ 1.74, 5.76
The solution x = 1.74 is extraneous, since it would result in negative dimensions for the box. Thus, the optimal size of the square to be cut from each corner is x = 5.76 inches.
The dimensions of the box with the largest volume are:
Length = Width = 10 - 2x = 10 - 2(5.76) ≈ 3.48 inches
Height = x = 5.76 inches
Therefore, the box with the largest volume has dimensions approximately 3.48 in. x 3.48 in. x 5.76 in.
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What is the connection string for SQL Server using Windows Authentication?
The connection string for SQL Server using Windows Authentication is as follows:
Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;
Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.
Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.
Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.
Use semicolons (;) to separate the different parts of the connection string.
Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.
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jack wanted to leave a 15% tip on a $36.00 bill. How much would he leave for a tip
A. $7.20
B. $5.40
C. 3.60
D. $3.96
Answer:
B = $5.40
Hope this helps!
Step-by-step explanation:
A cylindrical object is 3.13 cm in diameter and 8.94 cm long and
weighs 60.0 g. What is its density in g/cm^3
A cylindrical object is 3.13 cm in diameter and 8.94 cm long and weighs 60.0 g. The density of the cylindrical object is 0.849 g/cm^3.
To calculate the density, we first need to find the volume of the cylindrical object. The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height (length) of the cylinder.
Given that the diameter is 3.13 cm, the radius is half of that, which is 3.13/2 = 1.565 cm. The length of the cylinder is 8.94 cm.
Using the values obtained, we can calculate the volume: V = π * (1.565 cm)^2 * 8.94 cm = 70.672 cm^3.
The density is calculated by dividing the weight (mass) of the object by its volume. In this case, the weight is given as 60.0 g. Therefore, the density is: Density = 60.0 g / 70.672 cm^3 = 0.849 g/cm^3.
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Express the greatest common divisor of each of these pairs of integers as a linear combination of these integers. a) 9, 11b) 33, 44 c) 35, 78 d) 21, 55 e) 101, 203 f) 124, 323 g) 2002, 2339 h) 3457, 4669 i) 10001, 13422
The extended Euclidean algorithm may be used to represent the greatest common divisor (GCD) of two numbers as a linear combination of these integers. The procedure looks for two numbers x and y such that the GCD of a and b equals ax + by.
To compute the GCD of 9 and 11, for example, we begin with the Euclidean algorithm:
11 = 1(9) + 2
9 = 4(2) + 1
Next, we reverse the process, substituting each equation into the preceding one:
1 = 9 - 4(2) (2)
1 = 9 - 4(11 - 1(9))
1 = -4(11) + 5(9) (9)
As a result, the GCD of 9 and 11 is 1, which may be represented as -4(11) + 5. (9). The same procedure may be used to get the linear combination for each pair of integers provided in the question.
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A local movie theater earned $250,000 in revenue last year. What were the
movie theater's mean monthly earnings last year to the nearest dollar?
I’m in the 6th grade pls help
Answer:1200
Step-by-step explanation:
have no time sorry
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Solve for x using the distributive property
7(x-2)-3(x+3)=5(x-3)+x
Answer:
Step-by-step explanation:
7(x-2) -3(x+3) = 5(x-3) +x , distribute in parenthesis
7x -14 -3x -9 = 5x -15 +x , isolate like terms
7x -3x -5x -x = 14 +9 -15, combine like terms
-2x = 8, divide both sides by -2
x= -4
Cooper is deciding between two truck rental companies. Company A charges an initial fee of $80 for the rental plus $2 per mile driven. Company B charges an initial fee of $45 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Cooper drives xx miles, and let BB represent the amount Company B would charge if Cooper drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
The equation which can be used to represent each situation, in terms of x, is;
A = 80 + 2x
B = 45 + 3x
The interval of miles driven, x, for which Company A is cheaper than Company B is when x = 35 miles
How to write and solve equation?Let
The amount Company A would charge if Cooper drives x miles = AThe amount Company B would charge if Cooper drives x miles = BCompany A:
A = 80 + 2x
Company B:
B = 45 + 3x
Company B > Company A:
45 + 3x > 80 + 2x
collect like terms
3x - 2x > 80 - 45
x > 35
In conclusion, the interval of miles driven, x, for which Company A is cheaper than Company B is 35 miles.
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(4r 2 −3r+2)−(−r 2 −3r)
The temperature outside was 22˚F. The wind chill made it feel like -8˚F. Find the difference between the real temperature and the apparent temperature.
please help
The difference between the real temperature and the apparent temperature is - 30˚F.
What is Subtraction?
Subtraction is an operation which is used to find the difference between two numbers.
Given that;
The temperature outside (real temperature) = 22˚F
The wind chill made it feel like -8˚F.
That is, The apparent temperature = -8˚F
Now,
The difference between the real temperature and the apparent temperature = - 8˚F - 22˚F
= - 30˚F
Hence, The difference between the real temperature and the apparent temperature is - 30˚F.
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A polynomial function has zeros at x = 5, x=5/3, x= 2/5 and x = 7 and a leading coefficient of -5. Write the polynomial function in factored form.
Answer:
The polynomial function in the factored form is P(x) = -5 ( x - 5) (x - \(\frac{5}{3}\) ) ( x - \(\frac{2}{5}\) ) (x - 7)
Step-by-step explanation:
Let P(x) be a polynomial
As given, zeroes of the polynomial are at x = 5 ,x = \(\frac{5}{3}\), x = \(\frac{2}{5}\) , x = 7
So , the factors of the polynomial for the root x = 5 is ( x - 5)
the factors of the polynomial for the root x = \(\frac{5}{3}\) is(x - \(\frac{5}{3}\) )
the factors of the polynomial for the root x = \(\frac{2}{5}\) is( x - \(\frac{2}{5}\) )
the factors of the polynomial for the root x = 7 is(x - 7)
Also leading coefficient is of -5
⇒ P(x) = -5 ( x - 5) (x - \(\frac{5}{3}\) ) ( x - \(\frac{2}{5}\) ) (x - 7)
∴ we get,
The polynomial function in the factored form is P(x) = -5 ( x - 5) (x - \(\frac{5}{3}\) ) ( x - \(\frac{2}{5}\) ) (x - 7)
one of the cats in the neighborhood had 6 kittens.if each kitten weighs 5 3/4 pounds how much would all the the kittens weigh
Answer:
34.5
Step-by-step explanation:
You have to add all the kittens up.
What is 115 lbs in kg?
Answer:
115 lbs = 52.16 kilograms
Step-by-step explanation:
115 pounds is a little over 52kg
How do you determine if something is a factor of a function?.
if the function is divided and we get the remainder of zero then it is said to be a factor of a function
According to the Remainder Theorem, by a factor x − an of that polynomial, then you will get a zero remainder. The point of the Factor Theorem is the turnaround of the Remainder Theorem: On the off chance that you synthetic-divide a polynomial by x = a and get a zero remainder, at that point not as it were is x = a, a zero of the polynomial(for the remainder theorem ) but x − a is additionally a factor of the polynomial according to of the Factor Theorem.
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Helpp I’ll mark you brainlist
Answer: 1
hope it help
Jacqueline works on math homework 7/12 hour everyday. How many hours did she work on math homework after 24 hours?
A irrational number less than 0
Minus square root of 2, minus square root of 3, minus pi, minus e, etc. Or, to be a bit more fancy, 1 - pi, 2 - pi, 3 - pi, pi - 4, pi - 5, 2 - e, e - 3, square root of 2 minus 2, etc.
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