write the appropriate number for each product or quotient
Answers
Ok
Question 8
1
\(\begin{gathered} 1\frac{1}{4}\frac{.}{.}\text{ 7}\frac{1}{2} \\ \frac{5}{4}\text{ }\frac{.}{.}\text{ }\frac{15}{2} \\ =\text{ }\frac{5}{4}\text{ }\times\text{ }\frac{2}{15} \\ =\text{ }\frac{10}{60} \\ =\text{ }\frac{1}{6} \end{gathered}\)2.
\(\begin{gathered} \frac{4}{5}\text{ }\frac{.}{.}\text{ }\frac{2}{15} \\ =\text{ }\frac{4}{5}\text{ }\times\text{ }\frac{15}{2} \\ =\text{ }\frac{60}{10} \\ =\text{ 6} \end{gathered}\)3.
\(\begin{gathered} 6\frac{1}{4}\text{ }\times\text{ }\frac{2}{3} \\ =\text{ }\frac{25}{4}\text{ }\times\text{ }\frac{2}{3} \\ =\text{ }\frac{50}{12} \\ =\text{ }\frac{25}{6} \\ =\text{ 4}\frac{1}{6} \end{gathered}\)4.
\(\begin{gathered} 1\frac{1}{2}\text{ }\frac{.}{.}\text{ }\frac{4}{25} \\ =\text{ }\frac{3}{2}\text{ }\frac{.}{.}\text{ }\frac{4}{25} \\ =\text{ }\frac{3}{2}\text{ }\times\text{ }\frac{25}{4} \\ =\text{ }\frac{75}{8} \\ =\text{ 9}\frac{3}{8} \end{gathered}\)5.
\(\begin{gathered} \frac{2}{3}\text{ }\frac{.}{.}\text{ 6}\frac{1}{4} \\ =\text{ }\frac{2}{3}\text{ }\frac{.}{.}\text{ }\frac{25}{4} \\ =\text{ }\frac{2}{3}\text{ }\times\text{ }\frac{4}{25} \\ =\text{ }\frac{8}{75} \end{gathered}\)6.
\(\begin{gathered} 1\frac{1}{4}\text{ }\times\text{ 7}\frac{1}{2} \\ =\text{ }\frac{5}{4}\text{ }\times\text{ }\frac{15}{2} \\ =\text{ }\frac{75}{8} \\ =\text{ 9}\frac{3}{8} \end{gathered}\)7.
\(\begin{gathered} 1\frac{1}{2}\text{ }\frac{.}{.}\text{ 6}\frac{1}{4} \\ =\text{ }\frac{3}{2}\text{ }\frac{.}{.}\text{ }\frac{25}{4} \\ =\text{ }\frac{3}{2}\text{ }\times\text{ }\frac{4}{25} \\ =\text{ }\frac{12}{50} \\ =\text{ }\frac{6}{25} \end{gathered}\)8.
\(\begin{gathered} \frac{4}{5}\text{ }\times\text{ }\frac{2}{15} \\ =\text{ }\frac{4\text{ x 2}}{5\text{ x 15}} \\ =\text{ }\frac{8}{75} \end{gathered}\)Related Questions
Solve each equation by completing the square.
d² - 24d + c
Answers
Answer:
d² - 24d + c = (d - 12)² - 144 + c
I need help!!! And fast!!!!
Answers
6p=36
Divide both sides by six to get the value of p
36/6 is 6
p is equal to six
3x^2+4x-5 find the coefficient
Answers
HELLO THERE
3 and 4 is the answer
I hope I helped
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answers
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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I need help with this question
Answers
Answer:
I think A is the answer.
U're welcome amigo.
Mr. Man’s class painted tiles. If 2/8 of the tiles were painted green, 5/8 were painted pink, and the rest were yellow, what fraction of them were painted yellow?
Answers
The fraction of tiles that were painted yellow is 1/8.
What is fraction?
In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.
Fraction of tiles that were painted green = 2/8
Fraction of tiles that were painted pink = 5/8
Let the total fraction of tiles be 1.
Then to find the fraction of tiles that were painted yellow -
1 - ( Fraction of tiles that were painted green + Fraction of tiles that were painted pink)
Substituting the values in the expression -
= 1 - [(2/8) + (5/8)]
= 1 - [(2+5)/8]
= 1 - (7/8)
= (8-7)/8
= 1/8
Therefore, the yellow tiles are in fraction 1/8.
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Maria started the year with $235 in the bank and is saving $15 a week. Sergio started with $685 and is spending $35 a week. When will they both have the same amount of money in the bank? Write an equation(s) to represent the situation and then solve. Be sure to define your variable(s) and clearly answer the question.
Answers
Answer:
9 weeks
Step-by-step explanation:
let the time when they will both have the same amount be x
since Maria is saving then her money is bound to increase
therefore amount she will have after x weeks=235+15x
Sergio is spending so his money is reducing
therefore amount he will have after x weeks=
685-35x
so
235+15x=685-35x
685-235=15x+35x
450=50x
x= 450/50
9weeks
Convert the following percent to a fraction: 79 percent. Simplify when possible.
Answers
Hope this helps
The fractional form of the given percentage is 79/100.
Fraction is a comparison between two mathematical quantities or numbers in general.
The number which is being compared is called Numerator and the with whom it is compared is called Denominator.
In mathematical words, if a fraction is look like A/B where A and B are two numbers then A is called Numerator and B is called Denominator.
Percentage is the comparison of a quantity with respect to the number in 100.
Here given the percentage is 79 percent.
So 79 in 100
So the fractional form of the given percentage is = 79/100.
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Please help :Three runners are training for a marathon one day they all run about ten miles, each at their own constant speed Each runner’s data is represented
Choose all the apply/select all the true statements:
1. The fastest runner can run 2 miles in 20 minutes
2.Runner 2 is the fastest
3.Runner 1 is the fastest
4. the fastest runner can run 2 miles in 24 minutes
5. The fastest runner can run 2 miles in 19 minutes
6. Runner 3 is the fastest
7. The fastest runner can run 2 miles in 12 minutes
Please help also don’t comment if you don’t know
Answers
Answer:
Ooof thats a hard one
Step-by-step explanation:
let me see
It’s time to fill up your car’s gas tank! The price of gas is $4 per gallon, and you only have $3*x to spend, where x = the numeric month in which you were born. For example, if you were born in May, x = 5. Create an algebraic equation and solve for the number of gallons of gas you can purchase.
Answers
Answer:
I would need to know what month you were born, so I am going to do an example with my birth month. October = 10
Step-by-step explanation:
3 × x = 4 × y
3 x 10 = 4y
30= 4y
y= 7.5 gallons
plug in your birth month number in x
Based on the month x (e.g., x = 7 for July), you'll purchase 5.25 gallons, but for all intents and purposes, it's restricted to 5 gallons.
How to create an algebraic equation and solve for the number of gallons of gas you can purchase.Let's make the algebraic equation to discover the number of gallons of gas you'll buy:
Let's expect the number of gallons of gas you'll be able to buy to be spoken to by the variable "g". The cost of gas is $4 per gallon, and you've got $3*x to spend, where x is the numeric month in which you were born.
So, the condition to speak to this circumstance is:
4g = 3*x
Presently, we got to discover the esteem of x based on the month you were born:
Let's say you were born in July (x = 7), at that point the condition gets to be:
4g = 3*7
Presently, we are able to fathom "g":
4g = 21
g = 21 / 4
g = 5.25
So, in the event that you were born in July, you'll buy roughly 5.25 gallons of gas with $3*x. Be that as it may, since you cannot purchase a division of a gallon, you'd be restricted to obtaining 5 gallons.
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PLZZZZZZZZZZZZZZZZZZZZZZ HELP!!!
QUESTION: 5y+(-5)=10
STUDENT WORK: IMAGE DOWN BELOW
1. Explanation of Errors Made
2. Correct Solution (show all work)
Answers
Answer:
Step-by-step explanation:
5y + (- 5) = 10
The first mistake made in the image was when they subtracted from an already negative number. You add 5 to both (-5) and 10, which would be 5y = 15, due to the fact that 5 is being multiplied by y, you divide both sides by 5, making 3 the correct answer.
1. 5y + (-5) = 10
2. 5y +5 +5
3. 5y = 15
4. 5y/5 15/5
5. y = 3
The mean of 100 numerical observations is 51.82 what is the value of all 100 numbers
Answers
Answer: 5182
To get the value of all 100 numbers you would need to multiply.
Step-by-step explanation:
51.82x100= 5182
If triangle has a side 16.5 side 29 and side x What is value of x
Answers
The third side of the triangle 12.5
A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
we the measurements of given two sides of the triangle 16.5 and 29
In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.
The sum of two sides rule
\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)
The difference between the two sides rule
\(29 - 16.5 < x \\ 12.5 < x\)
Therefore, the value of x is 12.5
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Danielle was completing her science project and mixed saline solutions A and B. Brand A was a six gallon 18% saline solution and she ended up with an 18 gallon 8% saline solution mixture. Find the percent of saline solution in brand B.
A. 2.1%
B. 21%
C. 3%
Answers
Brand B contains 3% saline solution by volume. Then, C is the right answer.
Percentage of saline solution in brand B, let x be.
We know that the overall volume of saline solution in the combination is 18% of 6 gallons plus x% of (18 - 6) gallons since Danielle blended brands A and B to make a total of 18 gallons of 8% saline solution.
Then the equation is given as,
0.18(6) + 0.01x(18 - 6) = 0.08(18)
Simplifying and solving for x, we get:
1.08 + 0.12x = 1.44
0.12x = 0.36
x = 3
Therefore, the percentage of saline solution in brand B is 3%.
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In the right △ABC with m∠C=90°, m∠B=75°, and AB=12 cm. Find the area of △ABC.
Don't use trig to solve, don't know how to.
Answers
The area of the right triangle is 18.02 cm².
How to find area of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sum of angles in a triangle is 180 degrees.
Therefore, let's find the area of the right angle triangle as follows;
let's find the height and base of the triangle.
using trigonometric ratios,
cos 75 = adjacent / hypotenuse
cos 75 = base / 12
base = 3.10582854123
Therefore,
sin 75 = opposite / hypotenuse
sin 75 = h / 12
height = 11.5911099155
height = 11.59
Therefore,
area of the triangle = 1 / 2 × 3.11 × 11.59
area of the triangle = 36.0483518371 / 2
area of the triangle = 18.0241759186
area of the triangle = 18.02 cm²
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If tant=74, what is tan(t−π) ?
Answers
The tan(t−π) = 74of the given trigonometric function, tan(t−π), is 74
Evaluating trigonometric functionsFrom the question, we are to determine the value of trigonometric function tan(t−π) using the given information.
The given information is tan(t) = 74
We can use the following identity to solve this problem:
tan(t - π) = tan(t) - tan(π) / 1 + tan(t)tan(π)
Since tan(π) = 0
This can be simplified into
tan(t - π) = tan(t) / (1 - 0)
tan(t - π) = tan(t)
Thus,
We just need to find tan(t)
Given that tan(t) = 74.
Hence, tan(t−π) = 74
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A triangular plot of land has sides of lengths 420 feet, 330 feet, and 180 feet. Approximate the smallest angle between the sides. The choices are rounded to the nearest degree.
A. 30 degree
B. 27 degree
C. 22 degree
D. 24 degree
Answers
Answer:
D. 24 degree
Step-by-step explanation:
Sides of the triangle are
a = 330 ft
b = 180 ft
c = 420 ft
From cosine rule we have
\(\angle A=\cos^{-1}(\dfrac{b^2+c^2-a^2}{2bc})\\ =\cos^{-1}(\dfrac{180^2+420^2-330^2}{2\times180\times 420})\\ =48.65^{\circ}\)
\(\angle B=\cos^{-1}(\dfrac{a^2+c^2-b^2}{2ac})\\ =\cos^{-1}(\dfrac{330^2+420^2-180^2}{2\times 330\times 420})\\ =24.17^{\circ}\)
\(\angle C=\cos^{-1}(\dfrac{a^2+b^2-c^2}{2ab})\\ =\cos^{-1}(\dfrac{330^2+180^2-420^2}{2\times 330\times 180})\\ =107.19^{\circ}\)
The smallest angle in the triangle is \(\angle B=24.17^{\circ}\).
the number of candy bars most people can eat in one sitting has an order of magnitude of 3 true or false?
Answers
For the set D = {3, 5, 7},determine n(D). n(D) =
Answers
n is the count of elements in the set, so the set D = {3, 5, 7} has 3 elements.
Answer:
n(D) = 3
-20t^5u^2v^3
———————-
48t^7u^4v
Answers
Answer:
B. \(\frac{-5v^2}{12t^2u^2}\\\)
Step-by-step explanation:
Recall:
\(\frac{a^x}{a^y} = a^{x -y}\\\)
\(a^{-x} = \frac{1}{a^x}\\\)
Solution:
\(\frac{-20t^5u^2v^3}{48t^7u^4v} \\ \frac{-20}{48} \cdot t^{5 -7} u^{2 -4} v^{3 -1} \\ -\frac{5}{12} \cdot t^{-2} u^{-2} v^2 \\ -\frac{5v^2}{12t^2u^2}\)
Convert the expression (√5)(∛5) to exponential form. Show your work.
Answers
Answer:
\( {5}^{ \frac{5}{6}}\)
Step-by-step explanation:
\(( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}\)
Compare using >, <, or =
3,219 and 9,003
Answers
Answer:
9,003 > 3,219
Step-by-step explanation:
9,003 is larger than 3,219
PLEASE HELP!!! due today!!
Answers
Answer:
The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
Step-by-step explanation:
We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:
P = 7200/D
To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
So the distance between supports needed to carry 1600 lb is 4.5 feet.
To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:
1600 = 7200/D
D = 7200/1600
D = 4.5 feet
Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.
heeeeeeeeelpppppppppppp
Answers
Answer:
1). x = 2.67 units
2). x = 4.80 units
3). x = 6.00 units
Step-by-step explanation:
1). By applying Pythagoras theorem,
Hypotenuse² = [Leg(1)]² + [leg(2)]²
12² = x² + b² [Let the base of both the triangles = b units]
144 = x² + b² ------(1)
Similarly, 13² = (x + 3)² + b²
169 = x² + 6x + 9 + b²
169 - 9 - 6x = x² + b²
160 - 6x = x² + b² ------(2)
From equation (1) and (2)
144 = 160 - 6x
6x = 160 - 144
x = \(\frac{16}{6}\)
x = 2.67 units
2). By applying Pythagoras theorem,
10² = x² + h² [Let the height of the triangle = h]
100 = x² + h² ------(1)
13² = (2x)² + h²
169 = 4x² + h² -----(2)
By substituting equation (1) from equation (2),
169 - 100 = (4x² + h²) - (x² + h²)
69 = 3x²
x² = 23
x = √23
x = 4.795
x ≈ 4.80 units
3). By applying Pythagoras theorem,
9² = x² + h² [Let the height of the triangle = h units]
81 = x² + h² ------(1)
7² = (x - 4)² + h²
49 = x² + 16 - 8x + h²
49 - 16 = x² + h² - 8x
33 + 8x = x² + h² -------(2)
From equation (1) and (2)
81 = 33 + 8x
8x = 48
x = 6.00 units
The slope of the line whose equation is 2x + 5y + 1 = 0 is
0-2/5
05/2
0-1/5
Answers
Answer:
0-2/5
I think this is it ;-;
The coach hit 18 home runs in 9 baseball games. How many home runs will he have hit in 11 baseball games?
Answers
Answer:
22
Step-by-step explanation:
So, first, we can find out how many home runs the coach hits in one game
So, 18 home runs in 9 games, so we can do 18 ÷ 9=2
So, he hits 2 home runs per game
But, we have to find for 11 games
So, we do 2*11(Runs times number of games) and get 22
Hope this clarified
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Are the experimental probabilities after 300 trials closer to the theoretical probabilities?
Answers
After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.
To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.
Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.
Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.
Experimental probability of heads: 160/300 = 0.5333
Experimental probability of tails: 140/300 = 0.4667
Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.
In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.
To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.
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The question probable may be:
Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.
Which value for x makes the sentence true? 1/35 + x = 1/7
A. 6/35
B. 1/28
C. 4/35
D. 1/21
WHATS THE ANSWER :(
Answers
if we take 1/7 and make the denominator the same as 1/35, it would be 1/7x5/5 and it’d make it 5/35.
1/35+x=5/35
x=4/35
Four-Sided Dice A pair of four-sided dice-each with the numbers from 1 to 4 on their sides- -are rolled, and the num bers facing down are observed. (Note: A four-sided die is sim- ilar to a pyramid with a triangular base.) (a) List the sample space. (b) Describe each of the following events as a subset of the sample space i) Both numbers are even. (ii) At least one number is odd. iii Neither number is less than or equal to 2. (iv) The sum of the numbers is 7. (v) The sum of the numbers is greater than or equal to 6. (vi) The numbers are the same. (vii) A 2 or 3 occurs, but not both 2 and 3. (viii) No 4 appears.
Previous question
Answers
Answer:
Step-by-step explanation:
(a)
The sample space is
{(1,1), (2,2), (3,3), (4,4), (1,2), (1.3), (1,4), (2,1), (2,3), (2,4), (3,1), (3,2) (3,4), (4,1),(4,2), (4.3)}
(b)
i {(2,2), (4,4), (2,4), 4,2)}
ii {(1,1), (1,2), (3,3), (1,3), (1,4), (2,1), (2,3), (3,1), (3,2), (3,4), (4,1), (4,3)}}
iii {(1,1)}
iv {3,4), (4,3)}
v {(3,3), (2,4), (4,2), (3,4), (4, 3), (4,4)}
vi {(1,1), (2,2), (3,3), (4,4)}
vii {(1,2), (1,3), (2,1), (3,1), (2,2), (2,4), (3,3), (3,4), (4,2), (4,3)}
viii {(1,1), (2,2), (3,3), (1,2), (1.3), (2,1), (2,3), (3,1), (3,2)}
HELP! IS THIS PROPORTIONAL
Answers
Answer:
No, it is not
Step-by-step explanation:
It is suppose to be like:
1|4
2|8
3|12
Answer:
no it is not x is not the reason and y us the 6