Answer:
1. x= -3
2. x= 20
Step-by-step explanation:
sorry if this is wrong,
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
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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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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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]
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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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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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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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:
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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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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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)
?
?
?
?
?
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
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
#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
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
a box with a square base and a top is to be constructed from 10 square meters of material. find the dimensions which will maximize the volume that the box can hold.
A box with a square base and a top is to be constructed from 10 square meters of material. 40 square meters will maximize the volume that the box can hold.
What is volume?LSD use among secondary school understudies is a specific concern. More Volume is a proportion of consumed three-layered space. It is frequently evaluated mathematically utilizing SI inferred units or by different supreme units. Volume is characterized as the space involved inside the limits of an article in three-layered space. It is otherwise called the limit of article. Volume is a proportion of consumed three-layered space. It is frequently measured mathematically utilizing the SI determined unit, the cubic meter. The volume of a compartment is by and large comprehended to be the limit of the compartment, how much liquid (gas or fluid) that the holder could hold, instead of how much space the actual holder dislodges. Three layered numerical shapes are additionally relegated volumes.
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I need help asap!! (Fractions)
Answer:3 5/7
Step-by-step explanation:
Answer: A ----------------3 5/7
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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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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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?
Help please! (show steps too)
If the equation of the circle is [tex]x^{2} +y^{2}-8x+6=0[/tex] then the center and radius of the circle is (4,0) and [tex]\sqrt{10}[/tex] respectively
Given,
The equation,
[tex]x^{2} +y^{2}-8x+6=0[/tex]
Rearrange the equation
[tex]x^{2} -8x+6+y^{2} =0[/tex]
Add 10 on both sides
[tex]x^{2} -8x+16+y^{2} =10[/tex]
Change to standard form
[tex](x-4)^{2}+(y-0)^{2}=(\sqrt{10})^{2}[/tex]
Standard form of the equation of a circle is
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
Here the r is the radius of the circle and (h,k) is the center
So,
Center = (4,0)
Radius = [tex]\sqrt{10}[/tex]
Hence, if the equation of the circle is [tex]x^{2} +y^{2}-8x+6=0[/tex] then the center and radius of the circle is (4,0) and [tex]\sqrt{10}[/tex] respectively.
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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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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?
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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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
the angle of elevation to the top of a building in new york is 12° from the ground and 1 mile from the base of the building.
The height of the building is 1122.528 feet.
Angle of elevation:
Angle of elevation means an angle between the horizontal plane and oblique line from the observer's eye to some object above his eye.
Given,
The angle of elevation to the top of a building in New York is 12° from the ground and 1 mile from the base of the building.
Here we need to find the height of the building.
We know that,
The expression for the height of the building is,
h = tanΘ × x
Where the value of
tan Θ = 12°
x = 1 mile
So, When we apply the value on the formula,
The we get,
h = tan 12° x 1
So, apply the value of tan 12 degree,
h = 0.2126 x 1
h = 0.2126 mile
Simplify the above equation using the information
1 mile = 5280 ft.
That is equal to
h = 1122.528 feet.
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The diameter of a circle is 36 meters. What is the circle's area? Use 3.14
Answer:
113.04
Step-by-step explanation:
(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.