Answer:
RELATED
How to Multiply Fractions With Common Denominators
Updated April 24, 2017
By Pharaba Witt
Algebra strikes fear in the hearts of many both grown and still in school. Finding equivalent expressions is not as complicated or as daunting as you might think. It comes down to taking the distributive property and working with it to find another way to say the same thing, mathematically.
Using Distributive Property
Start with an algebraic expression. Using the example 2x(3y + 2) will make it easier to walk through the process.
Distribute the multiple 2x throughout the rest of the equation. This means multiplying 2x by 3y and by 2. Multiply 2x and 3y and you get 6xy. Multiply 2x by 2 and you get 4x.
Complete the equation by putting it back together. This means taking the two new numbers and keeping the function in the middle the same: 6xy + 4x. This is your equivalent expression. You can write the two expressions to show equality: 2x(3y + 2) = 6xy + 4x.
Using Factoring
Identify the common factors in the parts of the equation. Breaking down the equation might be necessary to find an equivalent expression. If you were given the expression 6xy + 4x, you would need to work it the other direction by taking out the common numbers. In this case both numbers are divisible by 2.
Take out the first common number: 2(3xy + 2x). Now you see there is still another common factor, x.
Take out additional common factors: 2x(3y + 2). This gives you the equivalent expression. Again you end with 6xy + 4x = 2x(3y + 2).
Step-by-step explanation:
If a base isn’t negative how will you know whether the answer is positive or negative before evaluating it
Answer:
when evaluating a power with a negative base, the solution is positive or negative depending on whether the exponent is odd or even. if odd, the value will be negative. if even, the value will be positive.
Step-by-step explanation:
Answer:
On edge
My response: If the base is negative and you are trying to find out weather the value of the power(Answer) will be negative or positive all you have to look at is the exponent. If the exponent is even the answer will be positive. If the exponent is odd then the answer will be negative.
Sample Response: When evaluating a power with a negative base, the solution is positive or negative depending on whether the exponent is odd or even. If odd, the value will be negative. If even, the value will be positive.
Find the volume of a right circular cone that has a height of 2.4 in and a base with a radius of 10.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
282.4 in 3
Step-by-step explanation:
Answer:
282.4
Step-by-step explanation:
What is 132x561+61-126=?
Answer:
The answer is 73,987 :)
Here is a typed out explanation.
solve for x : x + 10=50
Answer: 40
Step-by-step explanation: When you're asked to solve for x in an equation, what you're really being asked to do is get x by itself on one side of the equation.
In this problem since 10 is being added to x, in order to get x by itself, we must subtract 10 from the left side of the equation and when we subtract 10 from the left side of the equation, remember that we must also subtract 10 from the right side of the equation.
So on the left, 10 - 10 cancels out and
on the right, 50 - 10 simplifies to 40.
So x = 40.
Answer:
x = 40
Step-by-step explanation:
To solve for x, we must get it by itself. To do this, we have to subtract 10 from the left and right side of the equation.
Equation: x + 10 - (10) = 50 - (10)
This will cancel out the 10 on the left side (as 10 - 10 = 0) of the equation and leave you with the answer, x = 40.
Which expressions show how to calculate the volume
of this prism? Check all that apply.
2(12 + 21 + 28)
3(4) +7
3(7)(4)
4(7)(3)
12(7)
21(28)
7 cm
4 cm
3 cm
Answer:
3(7)(4) c
Step-by-step explanaiton:
4(7)(3) d
12(7) e
how to solve the question below
Answer:
Step-by-step explanation:
hello : here is an solution :
Relatives gave Timothy $15, $50, $25, and $18 for his birthday. What is the mean amount of money relatives gave Timothy for his birthday? The mean amount of money relatives gave Timothy was .
Answer:
The mean amount of money relatives gave Timothy was $27.
Step-by-step explanation:
The mean means the average of a set of numbers.
1) Add 15, 50, 25, and 18 together, which equals $108
3) Divide 108 by 4 (because there are 4 numbers) and you get 27
(hope this helps :)
Which statements are true about a triangular pyramid? Check all that apply.
It has exactly two faces that are triangles.
It has exactly three faces that are triangles.
It has exactly four faces that are triangles.
It has 4 vertices.
It has 5 faces.
It has 6 edges.
Answer:
It has exactly four faces that are triangles.
It has 4 vertices.
It has 6 edges.
Step-by-step explanation:
A triangular pyramid is also termed as a tetrahedron.
The properties of a triangular pyramid include:
four triangular faces,six edgesfour vertex corners.Among the four faces, any one of them can be considered to be the base of the pyramid.
The faces are of equal shape and size.
The edges have the same length.
The triangles are equilateral.
Answer: in short, C, D, And F
Step-by-step explanation:
What is the solution for the inequality 3x - 4 < -19
Step-by-step explanation:
3x-4<-19
+4. +4
3X<-15
Divide by 3
X<-5
hope my answer is right,Thank you....
This is part of my knowledge check that's due today at 11:59 am. Please help me on this question
An amusement park employee records the ages of the people who ride the new roller coaster during a fifteen-minute period.
Ages of riders: 42, 14, 19, 30, 49, 48, 16, 24, 38, 53, 24, 15, 18, 20, 25, 11, 18, 49, 54, 20, 17, 26, 37, 15, 28.
Complete the frequency table. Then select the correct histogram of the data.
Interval Frequency
10−19
20−29
30−39
40−49
50−59
A g617049a B g617049b
C g617049c D g617049d
The Frequency table is shown below and the first Histogram is correct Histogram.
What is Frequency table?A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.
We have the data:
Ages of riders: 42, 14, 19, 30, 49, 48, 16, 24, 38, 53, 24, 15, 18, 20, 25, 11, 18, 49, 54, 20, 17, 26, 37, 15, 28.
So, the Frequency table is
Interval Frequency
10−19 9
20−29 7
30−39 3
40−49 4
50−59 2
and, the first Histogram is correct.
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The completed frequency table is shown below.
The correct histogram of the data is: A. histogram A.
In Mathematics and Statistics, a frequency table can be used for the graphical representation of the frequencies or relative frequencies that are associated with a categorical variable or data set.
In a frequency distribution table, all classes must have the same class width. In this context, we would develop a grouped frequency table by using a class width of 10 as follows;
Interval Frequency
10 − 19 9
20 − 29 7
30 − 39 3
40 − 49 4
50 − 59 2
In conclusion, we can logically deduce that only histogram A correctly represents the ages of the people who ride the new roller coaster during a fifteen-minute period.
The probability of 6 beads which 3 are white and a randomly selected bead will be white
I believe the answer is 2..
20 points
One pump can fill a tank of water in 4 hours. A second tank can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank?
7/12 hours
3/4 hours
12/7 hours
4/3 hours
Final answer:
Two pumps working together will fill a tank in 12/7 hours, calculated by adding their rates of filling the tank and taking the inverse of the sum.
Explanation:
When two pumps are used together to fill a tank, the time it takes can be found by adding their rates of work and then finding the inverse of the sum. The first pump can fill the tank in 4 hours, which means its rate is 1/4 of the tank per hour. The second pump can fill the same tank in 3 hours, implying a rate of 1/3 of the tank per hour. When both pumps work together, their combined rate is (1/4 + 1/3) = (3/12 + 4/12) = 7/12 of the tank per hour.
To find the time taken to fill the tank jointly, we take the inverse of the combined rate: 1 / (7/12), which equals 12/7 hours. Therefore, using both pumps together, it will take 12/7 hours to fill the tank.
You are ordering pencils from Amazon for $3.50 each. Shipping costs an additional $2.99. This situation can be represented with the equation y = 3.5x + 2.99 What does each part of the equation represent in the situation (y = ?, 3.5 = ?, x = ?, 2.99 = ?)
Answer:
Y=total cost of purchasing the pencils
Step-by-step explanation:
Y=3.5x+2.99
Where,
Y=total cost of purchasing the pencils
3.5=price of each pencil
X= number of pencils bought
2.99= shipping cost
For instance, if you order for 5 pencils on Amazon, the total cost of purchasing it is
Y=$3.50(5)+$2.99
Y=$17.50+$2.99
Y=$20.49
MAY SOMEBODY HELP PLEASE THANK YOU SO MUCH! The volume of a box is 400 in.^3in. The height is 5 in. What is the area of the base of the box?
I mark branliest!!!
Answer:
Step-by-step explanation:
Volume = 400 cubic inches
Area of base = length*breadth
length * breadth * height = 400
Area of the base * height = 400
Area of the base * 5 = 400
Area of the base = 400/5
Area of the base = 80 square inches
the length of an swimming pool is best measure in
Answer:
Yards.
Step-by-step explanation
3 feet=1 yard
helpp me answer this i will give 15 points if u answer
Answer:
G, the second option
Step-by-step explanation:
A triangle's degrees all adds up to 180.
45 + 60= 105 degrees
180-105= 75 degrees
that in which makes z=75 degrees.
Since z is sharing a straight angle, which is 180 degrees
180-75= 105 degrees.
Therefore, w=105 degrees
next time when you are asking a question, be sure to crop the screen shot because the screen contains some private information that may be used against you! :)
Add 91, 129,and 16 ,and then divide by 44
Answer:
5.36
Step-by-step explanation:
no no don't touch me there this is my no no square
Final answer:
To find the solution, add 91, 129, and 16 to get a sum of 236. Then divide this sum by 44 to get approximately 5.364.
Explanation:
To solve the given problem, we need to perform two steps: first, add the numbers together; second, divide the sum by 44.
Add 91, 129, and 16 together.
Divide the sum by 44.
We start by adding the numbers:
91 + 129 + 16 = 236
Next, we divide the sum by 44:
236 ÷ 44 = 5.363636...
The division yields a repeated decimal which we can round to a desired decimal place if necessary. In this context, we'll keep it as is or round it to the nearest thousandth, which would be approximately 5.364.
what is the interquartile ra nge of this data set ? 2,5,9,11,18,30,42,55,58,73,81
Answer:
49
Step-by-step explanation:
You need to find the median,which is 30, then you figure out the innerquartile.....which is 9....then find out the outerquartile...58......then you find out the range of both of them....58 - 9 = 49
Plz correct me if I'm wrong
1/4b plus 6=16 how many beads are being used
Answer:
Step-by-step explanation:
[tex]\frac{1}{4}b+6=16[/tex]
Subtract 6 from both sides,
[tex]\frac{1}{4}b+6-6=16-6\\\\\frac{1}{4}b=10\\\\b=10*4\\b=40[/tex]
Answer:
40 beads
Step-by-step explanation:
We want to find how many beads, b are being used
1/4b+6=16
To do this, we have to solve for b, by getting b by itself.
First, move all the constants to the same side. Subtract 6 from both sides, since it is being added to 1/4b.
1/4b+6-6=16-6
1/4b=10
Next, divide both sides by 1/4, or multiply both sides by the reciprocal of 1/4.
To find the reciprocal, flip the numerator (top number) and denominator(bottom number)
1/4–> 4/1
4/1*1/4b=10*4/1
The 1/4 will cancel, leaving us with:
b=10*4/1
b=40
Solve the equation below using completing the square method
6y 2 – y – 15 = 0
Answer:
11y = 15
Step-by-step explanation:
12y - y - 15 = 0
11y - 15 = 0
11y = 15
Graphing system of equations: y=5x+2 and y=-x+8
expand the expression -7k (k - 3)
Answer choices are
K + 21
-7k + 21
-k- 21
-7k - 21
Solve for x. Assume that lines which appear tangent are tangent. See photo.
Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation? y = 6 x + 18. y = 2 x minus 6. y = 6 (x + 18). Y = 2 (x minus 6). y = one-sixth x + 3. y = one-half x + 6. y = one-sixth x + 3. y = one-half x + 3.
Answer:
y = 2x - 6
Step-by-step explanation:
6x = y +18
2x - y = 6
-2x. -2x
-1(-y)= -1 (-2x +6)
y = 2x -6
Answer:
y=2x-6
Step-by-step explanation:
A university surveyed its students on their opinions of campus housing. The following two-way table displays data for the sample of
200 students who responded to the survey.
Of students in the sample, 90/200 fraction of the students were male.
Number of male students =90
Number of female students =110
So, total students = 90+110 =200
What is a fraction?A fraction is a rational number that is not a whole number.
Fraction of students who were male = male students/ total students
Fraction of students who were male =90/200
So, 90/200 fraction of the students were male.
Hence, 90/200 fraction of the students were male.
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Task 1:
Your nephew is standing on his deck, which is 4 feet off the
ground. He tosses his toy up into the air at an initial velocity
of 7 feet per second. The equation h = -2t2 + 7+ + 4 models
the toy's height hin feet from the ground at t seconds after
he threw it.
What is the toy's maximum height?
Answer:
The toy's maximum height is [tex]10.12\ \text{feet}[/tex].
Step-by-step explanation:
The equation that models the toy's height in feet from the ground at t seconds after he threw it is given by :
[tex]h = -2t^2 + 7t + 4[/tex] .....(1)
It is required to find the toy's maximum height. For maxima or minima, put
[tex]\dfrac{dh}{dt}=0[/tex]
Plugging the value of t in above equation,
[tex]\dfrac{d(-2t^2 + 7t + 4)}{dt}=0\\\\-4t+7=0\\\\t=\dfrac{7}{4}\\\\t=1.75\ s[/tex]
Now put t = 1.75 s in equation (1) such that,
[tex]h = -2(1.75)^2 + 7(1.75) + 4\\\\h=10.12\ \text{feet}[/tex]
So, the toy's maximum height is [tex]10.12\ \text{feet}[/tex].
The toy's maximum height is 10.12 feet.
Calculation of the toy's maximum height:Since the nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air at an initial velocity of 7 feet per second. The equation is [tex]h = -2t^2 + 7+ 4[/tex]
So first we have to determine the t i.e.
[tex]d(-2t^2 + 7 +4) \div dt = 0\\\\-4t + 7 = 0\\\\ t = 7\div 4[/tex]
t = 1.75 s
Now
the height should be
[tex]= -2(1.75)^2 + 7(1.25)+ 4[/tex]
= 10.12 feet.
hence, The toy's maximum height is 10.12 feet.
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PLEASE HELP!!! LOTS OF POINTS!
A juggler throws a ball from an initial height of 4 feet with an initial vertical velocity of 30 feet per second. The height h (in feet) of the ball can be modeled by h 5 216t2 1 vt 1 s where t is the time (in seconds) the ball has been in the air, v is the initial vertical velocity (in feet per second), and s is the initial height.
23. Write an equation that gives the height (in feet) of the ball as a function of the time (in seconds) since it left the juggler’s hand.
24. If the juggler misses the ball, after how many seconds does it hit the ground?
Answer:
(x + 4y) (3x + 2z)
Step-by-step explanation:
First, write your problem as a mathematical expression:
3x^2 + 12xy + 2xz + 8yz
Factor out the greatest common factor from each group:
(3x^2 + 12xy) + 2xz + 8yz
3x (x + 4y) + 2z (x + 4y)
Factor the polynomial by factoring out the greatest common factor (GCF), x + 47
(x + 4y) (3x + 2z)
Step-by-step explanation:
La un concurs de matematica se dau 40 de probleme. Pentr fiecare raspuns corect se acorda 7 puncte, iar pentru fiecare raspuns gresit se scad 5 puncte.La sfarsit,un elev a obtinut 232 de puncte.Cate raspunsuri corecte si cate raspunsuri gresite a dat elevul?
Answer:
a primit 36 corect ane 4 în mod greșit
Step-by-step explanation:
În această întrebare, ne preocupăm să calculăm numărul de răspunsuri corecte și de răspunsuri greșite pe care elevul le-a dat.
În primul rând, începem prin atribuirea de variabile.
Numărul de răspunsuri corecte să fie x în timp ce numărul de răspunsuri greșite să fie y
Deoarece există 40 de probleme în total, aceasta înseamnă că adăugarea ambelor este egală cu 40 matematic,
x + y = 40. ••• (i)
Acum să trecem la partea complicată. Fiecare răspuns corect = +7. Răspunsul corect total este astfel + 7x Fiecare răspuns greșit este = -5. Răspunsul total greșit este astfel -5y Punct total marcat = 232 Aceasta
înseamnă că; 7x -5y = 232 ••••••••• (ii)
De la i, putem spune y = 40 -x să punem acest lucru în ecuație
ii 7x -5 (40-x) = 232
7x - 200 + 5x = 232
12x = 232 + 200 12x = 432 x = 432/12 x = 36 Deoarece y = 40 - x y = 40 - 36 y = 4
-3/4 divided by 2/-8
the four is not negative
Answer:
The answer is 3.
Step-by-step explanation:
-3/4 divided by 2/-8
take the reciprocal of 2/-8
which is -8/2 then divide
[tex]\frac{-3}{4}[/tex] ÷ [tex]\frac{-8}{2}[/tex]
= 3
-3/4 ÷ 2/-8