Yes, the given expressions i.e., 3m^2+2m^2 and 5m^2 are equivalent expression.
An expression is defined as a combination of various terms or numbers that are combined by using mathematical operations in addition, subtraction, multiplication, and division.
Equivalent expressions are expressions that have similar value or worth but do not look the same. When considering if the expressions given are equivalent, at least two expressions are must.
A) Yes, by considering the above definitions we can conclude that 3m^2+2m^2 and 5m^2 are equivalent expressions.
B) Given, 3m^2+2m^2 and 5m^2
Now, solve 3m^2+2m^2 we simply get the value which is similar to other expression given to us in the question i.e., 5m^2.
Hence, 3m^2+2m^2 and 5m^2 are similar or equivalent expression.
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Stephen bought some peaches and crumbles to make peach cobbler. Peaches costs $1.80 per pound, and crumbles cost $2.50 per pound. Stephen spent a total of $19.40.
Part 1. Create an equation that can be used to determine the number of pounds of peaches and crumbles that Stephen could have purchased. Remember to define any variables used.
Part 2. Use the equation created in Part 1 to determine how many pounds of crumbles Stephen purchased if he purchased 8 pounds of peaches. You must show all steps to receive credit.
√x
The equation which can be used to determine the number of pounds of peaches and crumbles that Stephen could have purchased is 1.8x+2.5y=19.4 and if Stephen purchased 8 pounds of peaches then he also purchased 2 pounds of crumbles.
Given that the cost of peaches is $1.80 per pound and cost of crumbles is $2.50 per pound and the total expenditure done by Stephen is $19.40.
We are required to find the equation that can be used to determine the number of pounds of peaches and crumbles that Stephen could have purchased and find the number of crumbles that Stephen purchased if he had 8 pounds of peaches.
Suppose the number of pounds of peaches be x and the number of crumbles be y.
The equation will be as under:
x*1.80+y*2.50=19.40
1.80x+2.50y=19.40---------1
Put the value of x=8 to find the number of crumbles.
1.8 *8+2.50y=19.40
14.4+2.50y=19.40
2.50y=19.4-14.4
2.50y=5
y=5/2.5
y=50/25
y=2
Hence the equation which can be used to determine the number of pounds of peaches and crumbles that Stephen could have purchased is 1.8x+2.5y=19.4 and if Stephen purchased 8 pounds of peaches then he also purchased 2 pounds of crumbles.
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(7x10^9)(5.3x10^2). Write this in scientific Notation
The required answer would be 3.7×10¹⁰ which is written in the form of scientific notation.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
We have been given that expression as:
⇒ (7×10⁹)(5.3×10²)
⇒ 7×5.3 ×10⁹×10²
We have to add exponents of tens and apply the multiplication operation between 7 and 5.3,
⇒ 37 ×10⁹⁺²
⇒ 3.7×10⁻¹ ×10¹¹
⇒ 3.7×10¹⁰
Hence, the required answer is 3.7×10¹⁰ which is expressed in scientific notation.
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(ANSWER QUICK PLEASE) 1. Kasey noticed that the distribution of candy bars in the variety bags of candy bars is always the same. There are three times as many Twix Bars as Milky Ways. There are 5 fewer snickers than there are Twix.
Answer:
Let's call the number of Twix bars "x".
Since there are three times as many Twix bars as Milky Ways, the number of Milky Ways is x / 3.
And, since there are 5 fewer Snickers bars than there are Twix bars, the number of Snickers bars is x - 5.
So, the total number of candy bars can be found by adding the number of each type of candy bar:
x + x / 3 + x - 5 = total number of candy bars
Combining like terms, we get:
5x / 3 - 5 = total number of candy bars
To find the value of x, we can solve this equation for x.
5x / 3 = total number of candy bars + 5
5x / 3 = total number of candy bars + 5
5x = 3(total number of candy bars + 5)
5x = 3(total number of candy bars) + 15
5x = 3(total number of candy bars) + 15
5x - 15 = 3(total number of candy bars)
5x - 15 = 3(total number of candy bars)
(5x - 15) / 3 = total number of candy bars
So, the total number of candy bars can be found by dividing (5x - 15) by 3. The value of x represents the number of Twix bars, and the rest of the candy bars can be found using the relationships described in the problem.
A town's population is . 57,900 About 75 people move out of the town each month. Each month, 200 people on average move into town. A nearby town has a population of 60,600 . It has no one moving in and an average of 175 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question.
The populations of both towns would be equal in nine months.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let's assume that both town's populations will be equal in x months.
After x months, the population of the first town is given by
200x - 75x + 57,900
The population of the second town after x months is given by
60,600 - 175x
In order for the population of both towns to be equal, we have
200x - 75x + 57,900 = 60,600 - 175x
This is the required equation that represents the given situation.
200x - 75x + 57,900 = 60,600 - 175x
Rearrange the likewise terms and apply arithmetic operation
200x - 75x + 175x = 60,600 - 57,900
300x = 2700
x = 2700/300
x = 9
Therefore, the populations of both towns would be equal in nine months.
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Pqrs and t are on line k such that q is the midpoint of pt, r is the midpoint of qt, and s is the midpoint of rt. If ps
Given the midpoint, the value of PT will be 10 2/7.
How to calculate the value?Q is the midpoint of PT,
so PQ = QT.
R is the midpoint of QT,
so QR=RT.
S is the midpoint off RT,
so RS=ST.
Let us say RS = ST = x .
Then, RT= RS + ST= x + x = 2x ,
so RT = QR = 2x
Then, QT = QR+RT = 2x+2x = 4x ,
and PQ = QT = 4x .
Then, PS= PQ+QR+RS=4x+2x+x=7x ,
and PT=PQ+QT=4x+4x=8x
The problem says that PS = 9
Therefore, 7x = 9 and x = 9/
PT = 8x = 8 × 9/7 = 10 2/7.
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P, Q, R, S, and T are on line k such that Q is the midpoint of segment PT, R is the midpoint of segment QT, and S is the midpoint of segment RT. If segment PS = 9, then what is PT?
I need help asap!! (Fractions)
Answer:3 5/7
Step-by-step explanation:
Answer: A ----------------3 5/7
For what value of k does the equation 2x^2 − 6x + k = 0 have exactly one solution?
Answer:
k = 2.25 or 9/4
Step-by-step explanation:
2x^2 - 6x + k = 0
2(x^2 - 3x + 2.25) = 0
x -1.5
x -1.5
-------------------------------------
(x - 1.5) (x - 1.5) = 0
x = 1.5 or 15/10 = 3/2
one solution
#35 i
Find the measure of the exterior angle.
to
38°
The measure of the exterior angle is
Answer:
128°
Step-by-step explanation:
The three INTERIOR angles of the triangle are 90 38 and 52° ( they sum to 180 °)
52 ° and 'x' form a straight line = 180 ° so x = 128°
Answer:
128
Step-by-step explanation:
Add the two farthest angles, 90 and 38, so that's 128
brainliest pls
What are the solutions to the equation
w squared
=
36
? Select all that apply.
−
18
6
−
9
−
6
18
9
Answer:-4
Step-by-step explanation:
question 12(multiple choice worth 1 points) (04.01 lc) which set of ordered pairs represents a function? {(0, 1), (1, 3), (1, 5), (2, 8)} {(0, 0), (1, 2), (2, 6), (2, 8)} {(0, 0), (0, 2), (2, 0), (2, 4)} {(0, 2), (1, 4), (2, 6), (3, 6)}
The set of ordered pairs that represents a function is: {(0, 2), (1, 4), (2, 6), (3, 6)}
We know that a function defines a relation between input and output values.
In function for each input there is exactly one output.
We need to find the set of ordered pairs that represents a function.
We need to find the set of ordered pairs such that for each x value (x coordinate) there is unique y value (y coordinate).
1) {(0, 1), (1, 3), (1, 5), (2, 8)}
This set of ordered pairs cannot be a function.
As for x = 1, there are two output values 3 and 5.
2) {(0, 0), (1, 2), (2, 6), (2, 8)}
This set of ordered pairs cannot be a function.
As for x = 2, there are two output values 6 and 8.
3) {(0, 0), (0, 2), (2, 0), (2, 4)}
This set of ordered pairs cannot be a function.
As for x = 0, there are two output values 0 and 2.
and for x = 2, the output values are 0 and 4.
4) {(0, 2), (1, 4), (2, 6), (3, 6)}
This set of ordered pairs represents a function.
Here, for each input value there is unique output value.
Therefore, the set of ordered pairs that represents a function is: {(0, 2), (1, 4), (2, 6), (3, 6)}
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PLS HELP ASAP!!
Three less than the quotient of a number and two has a result of thirteen. What would the solution be? Please only place the number.
Thanks a ton!!!
The solution of the of the expression is as follows:
x = 32How to find solution to expression?Three less than the quotient of a number and two has a result of thirteen.
Therefore,
let
the number = x
The quotient of the number and two = x / 2
Therefore,
x / 2 - 3 = 13
add 3 to both sides
x / 2 - 3 = 13
x / 2 - 3 + 3 = 13 + 3
x / 2 = 16
cross multiply
x = 2 × 16
x = 32
Therefore, the solution of the of the expression is as follows:
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Of the numbers 0.4761, 0.04761, 0.4671, and 0.04671, which is the largest?
Answer:
0.4761
Step-by-step explanation:
It is in the 10ths place making it bigger than 0.04761 and 0.04671
Then in the hundreths place for 0.4761 7 is bigger than the 6 in in the hundreths place of 0.4671, so the answer is
0.4761
prove that if all of the 2n subsets of a set containing 2n 1 are equal, then all elements of set n are equal
when multiplicity is removed, you get 2^(2n+1)/2 members, which is 2^(2n).
Take the power set. It has 2^(2n+1) members.
Replace any member which has n+1 or more elements with its complements.
Now the power set has members, which have n or fewer elements, and each such member appears twice.
Therefore, when multiplicity is removed, you get 2^(2n+1)/2 members, which is 2^(2n).
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determine whether the data are qualitative or quantitative. the colors of automobiles on a used car lot
The data is qualitative one.
Qualitative Data:
Qualitative data consists of Labels, Attributes, Descriptions
This type of data is observed not measured
Examples: Colors, categories, appearances, dogs, etc.
Basically it considers the qualities of the data.
Quantitative Data:
Quantitative data Consists of numbers or counts in the data.
This type is mainly focused on the measurement. Which means it only consider the quantities.
Examples: Length, height, area, speeds, dollar amounts, ages, etc.
Given,
The colors of automobiles on a used car lot.
Here we need to determine the given data is qualitative or quantitative.
Based on the definition of the qualitative or quantitative,
We conclude that the given data is qualitative.
Because it describe the quality of the car.
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Which fractions have the same value as -1/4 please help
(different question and look at picture)
Answer:
-1/4 ,-(-1/-4) and 1/-4 are the answers please
In an AP the 9th Term is 2 times the 4th Term and the 12th Term is 78. What is the sum of the first twenty terms?
The sum of the first twenty terms of the given AP is 1380.
An arithmetic progression is given in this problem.Let the first term of the AP be "a".Let the common difference between the terms of the AP be "d".Let the term in the "n" position be denoted by t(n).t(n) = a + (n-1)*dIt is given that the 12th term is 78.t(12) = a + 11d78 = a + 11dThis is equation 1.It is given that the 9th term is twice the 4th term.t(9) = 2*t(4)a + 8d = 2(a + 3d)a + 8d = 2a + 6da = 2dThis is equation 2.Solving equations 1 and 2, we get the values of "a" and "d".The value of "a" is 12 and "d" is 6.The sum of the first "n" terms of an AP is given by the formula :S(n) = (n/2)[2a + (n-1)d]We need to find the sum of the first 20 terms.S(20) = (20/2)[2*12 + 19*6]S(20) = 10*(24 + 114)S(20) = 10*138S(20) = 1380To learn more about common difference, visit :
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there are 20 colored markers in a package – 8 black, 4 blue, 4 red, 4 green. if two markers are selected at random, one after another, without replacement, find the probability that both will be blue.
If two markers are selected at random, one after another, without replacement, the probability that both will be blue = 0.0316
For given question,
there are 20 colored markers in a package – 8 black, 4 blue, 4 red, 4 green.
if two markers are selected at random, one after another, without replacement, we need to find the probability that both will be blue.
The probability that the selecting one blue marker is:
4/20
After selecting one blue marker, there are 19 markers in a package - 8 black, 3 blue, 4 red, 4 green.
The probability of selecting second blue marker would be,
3/19
So, the probability that both will be blue:
4/20 × 3/19
= 0.2 × 0.16
= 0.0316
Therefore, if two markers are selected at random, one after another, without replacement, the probability that both will be blue = 0.0316
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4(r-2+y) distribute to creat an equivalent expression with the fewest symbols possible
Answer: 4r-8+4y
Step-by-step explanation: Distribution is when you multiply every term inside the parantheses by the outside term. So 4(r-2+y)=4(r)+4(-2)+4(y). This is the same as 4r-8+4y. Since none of these are like terms we have the fewest symbols possible.
Tomás wants to tile a rectangular floor with square tiles that measure 12 inches on a side. The floor measures 10 feet 6 inches long by 8 feet 6 inches wide. If he is able to cut the tiles without waste, what is the minimum whole number of tiles Tomás needs to completely cover the floor?
There are 1176 is the minimum whole number of tiles Tomás needs to completely cover the rectangular floor.
Rectangle:
Rectangle means a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.
Given,
Tomás wants to tile a rectangular floor with square tiles that measure 12 inches on a side. The floor measures 10 feet 6 inches long by 8 feet 6 inches wide.
Here we need to find if he is able to cut the tiles without waste, what is the minimum whole number of tiles Tomás needs to completely cover the floor.
Here we have to convert the feet into inches for easy calculation,
1 feet = 12 inches
So, the length is ,
l = 120 + 6 = 126 inches
w = 96 + 6 = 112 inches
So, the area of the floor is,
=> l x w
=> 126 x 112
=> 14,112
Here we need to use 12inches square tile,
So,
=> 14112 / 12
=> 1176.
Therefore, there are 1176 tiles are need to cover the floor.
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HELP FOR BRAINLIEST! A rectangle solid has a length of 16, a width of 20 and a total surface area of 4480. What is the total surface area of a similar rectangular solid with a width of 10?
f(x)=x+5
g(x)=\sqrt 3x+1
find f/g and f-g then give their domains using interval notation
[tex] \frac{f(x)}{g(x)} = \frac{x + 5}{ \sqrt{3x + 1} } [/tex]
[tex]x ∈ \: \: ] \frac{ - 1}{3} ,∞[[/tex]
[tex]f(x) - g(x) = x + 5 - \sqrt{3x + 1} [/tex]
[tex]x ∈ \: \: [ \frac{ - 1}{3} ,∞[[/tex]
the federal helium reserve held about 20 billion cubic feet of helium in 2010 and is being depleted by about 1.9 billion cubic feet each year. a . give a linear equation for the remaining federal helium reserves in billions of cubic feet, r , in terms of t , the number of years since 2010. r ( t )
The linear equation for the remaining Federal Helium Reserves, r(t) = 20 -1.9t
There is 20 billion cubic feet of Helium in 2010. Helium is depleted by about 1.9 billion cubic feet each year.
Let 'r' denotes the remaining Federal Helium Reserves in billions of cubic feet.
Let 't' denotes the number of years since 2010.
We have to find a linear equation to represent the depletion of Helium through years since 2010. A linear equation will have two variables, one dependent and one independent variable. Here, let 'r' be the dependent variable and 't' be the independent variable.
Then the amount of Helium depleted in 't' years = 1.9t
So, the remaining Helium in the Federal Helium Reserve since 2010 = 20 - 1.9t.
Thus, r(t) = 20 - 1.9t
This is a linear equation because it depends on only one variable, 't'.
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If ∠DEG is 8 times m∠FEG, what is m∠DEG?
Answer:
160
Step-by-step explanation:
180 (a straight angle's degrees) /9 = 20
20 * 8 = 160
Check:
160 + 20 = 180
The equation y = 2.50x determines the total cost, y, of buying x carnival tickets. Use the drop-down menu to complete the sentence.
According to the equation, 15 carnival tickets would cost.
.
The cost of 15 carnival tickets is 37.5 dollars.
How to use the equation to find the cost of 15 ticket ?The equation y = 2.50x determines the total cost, y, of buying x carnival tickets.
where
x = number of carnival tickety = total costTherefore, according to the equation, the cost of 15 carnival ticket can be calculated as follows:
y = 2.50x
where
x = 15
Hence,
y = 2.50 × 15
y = 37.5 dollars
Therefore, the cost of 15 carnival tickets is 37.5 dollars.
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The function h is defined by the following rule.
h(x) = -2x-5
Complete the function table.
X
-4
0
2
3
5
H(x)
?
?
?
?
?
PLEASE HELP ME THANK YOU
Answer:
number 2. A
number 3. C
number 4. B
Step-by-step explanation:
if the answer's are correct then comment or like
If f (x) = 3x^4+5, then what is the remainder when f (x) is divided by x+4?
The remainder when polynomial function is divide by linear function is 773.
Given that the polynomial functon f(x)=3x⁴+5 and the linear function is x+4.
As it is given that we have to find the remainder the polynomial
f(x)=3x⁴+5 is divided by the linear expression g(x)=x+4.
f(x)=3x⁴+5 .......(1)
g(x)=x+4 .......(2)
We know the remainder theorem that when a polynomial f(x) is divided by a linear expression (x−a), the remainder will be f(a).
From equation (2), we have a linear expression.
Now, on simplifying equation (2) to obtain the zero of g(x), we get
g(x)=x+4=0
x+4=0
Now, on comparing (x+4) and (x−a), we get
a=-4 ......(3)
Here, we have to get the value of f(a).
Now, using the remainder theorem, we can say that to get the remainder when the polynomial f(x)=3x⁴+5 is divided by g(x)=x+4, we have to replace x by -4 in the polynomial f(x)=3x⁴+5, we get
f(-4)=3(-4)⁴+5
f(-4)=3(256)+5
f(-4)=768+5
f(-4)=773
Therefore, the remainder when the polynomial f(x)=3x⁴+5 is divided by the linear expression g(x)=x+4 is 773.
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Ryan has a points card for a movie theater.
• He receives 85 rewards points just for signing up.
• He earns 7.5 points for each visit to the movie theater.
.
• He needs 160 points for a free movie ticket.
Write and solve an equation which can be used to determine v, the number of visits
Ryan must make to earn a free movie ticket.
Answer:
anaaaa
Step-by-step explanation:
in a certain school, course grades range from 0 to 100. adrianna took 4 courses and her mean course grade was 90. roberto took 5 courses. if both students have the same sum of course grades, what was roberto’s mean?
Average of 5 courses is 72
• In simple words, average is the number which is the representative of the list of the numbers.
• Average of numbers is calculated by the sum of the numbers divided by total numbers.
We are given that
Number of courses took by Adrianna = 4
Average of her course grade = 90
Number of course took by Roberto = 5
We also know that , Both students have the same sum of course grades
Let the average of Roberto be x
Average = Sum / Total Subjects
Sum = Average * Total Subjects
So,
90 * 4 = x * 5
x = 360/5
x = 72
Therefore, average of Roberto is 72
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Fabio and Carlos play on a basketball team together. In the last game, Fabio had 777 points less than 222 times as many points as Carlos. Fabio scored 313131 points in the game.
Write an equation to determine the number of points (c) Carlos scored in the last game.
Find the number of points Carlos scored in the last game.
Considering the definition of an equation and the way to solve it, the number of points Carlos scored in the last game is 19.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.This caseBeing:
"C" the number of points Carlos scored."F" the number of points Fabio scored.and knowing that in the last game, Fabio had 7 points less than 2 times as many points as Carlos, the equation to determine the number of points Carlos scored in the last game is:
2C - 7= F
Fabio scored 31 points in the game. So you get:
2C - 7= 31
Solving:
2C= 31 + 7
2C= 38
C= 38 ÷ 2
C=19
Finally, the number of points Carlos scored in the last game is 19.
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