Answer:
(3,6)
Step-by-step explanation:
the x input cannot repeat in order for it to be a function
Lora, a campaign manager, distributes flyers to 35% of the homes in her community. Lora distributes flyers to 630 homes. How many homes are in her community?
To calculate the total number of homes in Lora's community, the number of flyers distributed (630) is divided by the percentage of homes that received flyers (35%), resulting in a total of 1800 homes.
To find the total number of homes in Lora's community, we need to set up a proportion where the number of flyers delivered represents 35% of all homes. Since Lora distributed flyers to 630, that is 35% of the total homes. Using the percentage formula:
Total Homes = Distributed Flyers / Percentage of Homes
So, in this case, it would be:
Total Homes = 630 / 0.35
Dividing 630 homes by 0.35 (35% as a decimal) gives us:
Total Homes = 1800
Therefore, there are 1800 homes in Lora's community.
How many ways can 5 people-A, B, C, D, and E-sit in a row at a movie theater if (a) A
and B must sit together; (b) C must sit to the right of, but not necessarily next to, B; (C) D
and E will not sit next to each other?
The coordinates (12,6), (12,15), (4,0) represent the locations of his stops respectfully on a city map. If each unit on the coordinate plane represents 0.75 miles, how far did tony ride on the city bus?
Answer:
27 miles.
Step-by-step explanation:
The distance between two points ([tex]x_{1},y_{1}[/tex]) and ([tex]x_{2},y_{2}[/tex]) on the coordinate plane are given by the formula
[tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
Therefore, the distance between points (12,6) and (12,15) is [tex]\sqrt{(12 - 12)^{2} + (15 - 6)^{2}} = 9[/tex] units
Again, the distance between the points (12,15) and (4,0) is [tex]\sqrt{(4 - 12)^{2} + (0 - 15)^{2}} = 17[/tex] units
And the dictance between the points (4,0) and (12,6) is [tex]\sqrt{(12 - 4)^{2} + (6 - 0)^{2}} = 10[/tex] units
Therefore, the total distance is (9 + 17 + 10) = 36 units.
If each unit on the coordinate plane represents 0.75 miles, then Tony rides on the city bus by (36 × 0.75) =27 miles. (Answer)
The zurassic zoo charges $11 each for adult admissions and $4 each for each child. The total bill for the 138 people from a school trip was $839. How many adults and how many children went to the zoo?
The number of adults = 41
The number of children = 97
Step-by-step explanation:
Let x be the number of adults and
y be the number of children
then according to the given conditions
[tex]x+y = 138\ \ \ Eqn\ 1\\11x+4y = 839\ \ \ Eqn\ 2[/tex]
From equation 1:
x = 138-y
Putting in equation 2
[tex]11(138-y)+4y = 839\\1518-11y+4y = 839\\1518 -7y = 839\\-7y = 839-1518\\-7y = -679\\[/tex]
Dividing both sides by -7
[tex]\frac{-7y}{-7} = \frac{-679}{-7}\\y = 97[/tex]
Putting y = 97 in equation 1
[tex]x+ 97 = 138\\x = 138-97\\x = 41[/tex]
Hence,
The number of adults = 41
The number of children = 97
Keywords: Linear equations variables
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Which of the following forms associated with exponents multiplies the base number by itself as many times as needed?
fractionated form
exponential form
standard form
factored form
Answer:
The correct answer is B. Exponential form.
Step-by-step explanation:
The exponential form was developed to express repeated multiplications and to make it easier to write long numbers. The exponential notation has two parts. The base, as the name says, is the number below. The other part of the notation is a small number written on the superscript to the right of the base, called an exponent. We will use an example to learn about the exponential form or notation.
2³
In this example the base is 2. This means that 2 is a factor, and that it will be multiplied by itself a certain number of times. The precise number of times is given by the exponent, the number in the superscript. In this case, the exponent is 3, which means that base 2 will be used as a factor 3 times. So 2³ means 2 • 2 • 2 and the result is 8.
16. In the figure above, DG is the angle bisector of measure of angle
Answer:
The measure of angle GDE is 32 degrees
Step-by-step explanation:
Part 16) we know that
If DG is the angle bisector of angle FDE
then
m∠1=m∠2 (both angles are equal)
substitute the given values
[tex](7x+4)\°=(9x-4)\°[/tex]
solve for x
[tex]9x-7x=4+4[/tex]
[tex]2x=8[/tex]
[tex]x=4[/tex]
Remember that
m∠GDE=m∠1
m∠1=(7x+4)°
substitute the value of x
m∠1=7(4)+4=32°
therefore
The measure of angle GDE is 32 degrees
Answer:
Attached
Step-by-step explanation:
State the domain and range of each of the following relations.
Step-by-step explanation:
1.10) y = x + 1, x is some even integer
The domain is even integers. 1 plus an even integer is an odd integer, so the range is odd integers.
1.11) y = |x|
The domain is all real numbers. Since y is the absolute value of x, the range is non-negative numbers (y ≥ 0).
Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional quantities? a=7.2 cm
The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square
Solution:Given that side of square "a" = 7.2 cm
We have to find the perimeter of square
The perimeter of square is given as:
Perimeter of square = 4a
Where "a" represents the length of side of square
Substituting the given value a = 7.2 cm in above formula, we get perimeter of square
Perimeter of square = 4(7.2) = 28.8 cm
Are the perimeter of the square and the length of its side directly proportional quantities?
[tex]\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}[/tex]
The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.
Two values are said to be in direct proportion when an increase in one results in an increase in the other.
So when length of sides increases, perimeter also increases
Hence perimeter and length of side of square are directly propotional quantities
finding roots in a polynomial function
Step-by-step explanation:
What's the question here, ik how to do this pretty well
In a group of 84 kids 3/7 brought their lunches of those who bought their lunches 9 got a slice of pizza. what fraction of the students who bought their lunches got a slice of pizza?
Answer:
1/4
Step-by-step explanation:
The number of kids who brought their lunches is 3/7 of 84.
3/7 of 84 = 3/7 * 84 = 3/7 * 84/1 = (3 * 84)/(7 * 1) = 252/7 = 36
36 kids brought their lunches.
9 of the 36 kids got a slice of pizza.
The fraction is 9/36 = 1/4
Answer: 1/4
can you rearrange it so T is the subject
The formula after making t subject of the formula is:
[tex]t = \frac{2-3q}{q+4}[/tex]
Step-by-step explanation:
Given formula is:
[tex]q = \frac{2-4t}{t+3}[/tex]
To make t the subject of the formula we have to isolate t
So,
Cross-multiplying
[tex]q(t+3) = 2-4t\\qt+3q = 2-4t[/tex]
Adding 4t on both sides
[tex]qt+3q+4t = 2-4t+4t\\qt+3q+4t = 2[/tex]
Subtracting 3q from both sides
[tex]qt+3q+4t-3q = 2-3q\\qt+4t = 2-3q[/tex]
Taking t common on left hand side
[tex]t(q+4)=2-3q[/tex]
Dividing both sides by q+4
[tex]\frac{t(q+4)}{q+4}=\frac{2-3q}{q+4}\\t = \frac{2-3q}{q+4}[/tex]
The formula after making t subject of the formula is:
[tex]t = \frac{2-3q}{q+4}[/tex]
which expression is equivalent to 4(23)
Answer:
the correct answer is , 4(20+3)
Step-by-step explanation:
The sailboat has 1 large sail and one small sail. The large sail is 24 feet tall. The base of the sail is 12 feet long. What is the area of the large sail?
The area of the large sail is 144 square feet.
Explanation:To find the area of the large sail, we can use the formula for the area of a triangle which is Area = 1/2 * base * height.
In this case, the base of the sail is 12 feet and the height (or the length of the sail) is 24 feet. Plugging these values into the formula, we get:
Area = 1/2 * 12 feet * 24 feet = 144 square feet
Therefore, the area of the large sail is 144 square feet.
Find (f/g)(x).
Please help !!
Answer:D
Step-by-step explanation:
factorise 2x²-16x+32
x²-8x+16
(x-4)²
factorise 4x²-2x-20
2x²-x-10
2x²+4x-5x-10
2x(x+2)-5(x+2)
(2x-5)(x+2)
solving for (f/g)(x)
(x-4)²/(x+2)÷(2x-5)(x+2)/(x-4)²
(x-4)²/(x+2)*(x-4)²/(2x-5)(x+2)
(x-4)⁴/(2x-5)(x+2)²
Which table shows the relationship y = 50x?
A. x 2 4 5 6
y 6 12 18 21
B. x 1 3 4 5
y 50 150 200 250
C. x 1 2 3 6
y 1.5 3 6 9
D. x 3 5 7 8
y 1.5 2.5 3 4.5
A graph with a line running through coordinates (0,0) and coordinates (30,24)
win brainliest.
Answer:
[tex]\displaystyle y = \frac{4}{5}x[/tex]
B. x 1 3 4 5
y 50 150 200 250
Step-by-step explanation:
First, find the rate of change [slope]:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{0 + 24}{0 + 30} = \frac{24}{30} = \frac{4}{5} \\ \\ y = \frac{4}{5}x[/tex]
We can write the equation from here, since both the x-intercept and y-intercept are at the origin.
_______________________________________________
Now, all you have to do is input each value into the function to confirm their authenticities. Once you do this, you WILL arrive at answer choice B).
I am joyous to assist you anytime.
The memory card on Melchers digital camera can hold about 430 pictures make sure used 18% of the mirror memory card while taking pictures at family reunion about how many pictures did Melcher take out the family room and round to the nearest whole number
Answer:
The pictures Melcher take out the family room were 77 pictures.
Step-by-step explanation:
Given:
Melchers digital camera can hold about 430 pictures, He used 18% of the mirror memory card while taking pictures at family reunion.
Now, to get number of pictures Melcher take out the family room:
Number of pictures Melcher take = 18% of total number of pictures camera can hold.
[tex]=\frac{18}{100}\times 430[/tex]
[tex]=0.18\times 430[/tex]
[tex]=77.4[/tex]
So, number of pictures Melcher take = 77.4
Now, rounding to the nearest whole number = 77.
Therefore, the pictures Melcher take out the family room were 77 pictures.
Which situation best describes the transformation between f(x) = 10x and g(x) = –2 · 10x?
The graph of g(x) = –2 · 10x is transcribed 2 units to the right.
The graph of g(x) = –2 · 10x is transcribed 2 units to the left.
The graph of g(x) = –2 · 10x is compressed vertically and reflected across the x-axis.
The graph of g(x) = –2 · 10x is stretched vertically and reflected across the x-axis.
Answer:
The graph of g(x) = –2 · 10x is stretched vertically and reflected across the x-axis.
Step-by-step explanation:
Answer:
D. The graph of g(x) = –2 · 10x is stretched vertically and reflected across the x-axis.
Step-by-step explanation:
Help me please I don’t want to get this wrong
Answer:
Step-by-step explanation:
How many lines, if any, of symmetry are shown on kite ABCD?
A) 1
B) 2
C) 3
D) none
In a kite, generally there is only 1 line of symmetry which runs from the vertex angle where the two sides of unequal length meet to the vertex angle directly opposite. Therefore, in the case of kite ABCD, the correct answer is option A) 1 line of symmetry.
Explanation:In the field of mathematics, a kite is a quadrilateral shape with two pairs of adjacent sides that are the same length. When thinking about the lines of symmetry, you should keep in mind that symmetry means that one half of the figure is a mirror image of the other half. For a kite, the number of lines of symmetry is generally 1. The line of symmetry in a kite runs from the vertex angle where the two sides of unequal length meet, to the vertex angle directly opposite.
This means, in the case of kite ABCD, there is 1 line of symmetry.
So, the correct option is A) 1 line of symmetry.
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Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x.
(3x2 -11)(3x2 + 11)
Answer:
9x^4 - 22 is the answer . hope this helps!
Kristina's work is 2.625 miles from her house. She bikes to and from work every day, 5 days a week. How many miles does she bike in all to and from her job in 29 weeks? please show work thanks uwu
She bikes 761.25 miles in all to and from her job in 29 weeks.
Step-by-step explanation:
Distance from her house = 2.625 miles
As this is the distance of one side, she covers same distance for coming back.
Total distance for one day = 2.625 + 2.625 = 5.25 miles
She goes to work for 5 days per week.
29 weeks = [tex]29*5 = 145\ days[/tex]
Total distance covered in 29 weeks;
Total distance = Distance for one day * Days in 29 weeks
[tex]Total\ distance=5.25*145=761.25\ miles[/tex]
She bikes 761.25 miles in all to and from her job in 29 weeks.
Keywords: multiplication, distance
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394 students play a wind instrument. If 2/5 of the students play a wind instrument, how many students in the district participate in the school music program
Answer:
About 158 students in the district participate in the school music program.
Step-by-step explanation:
394(2/5)=788/5=157.6
Helpppp meee por favor
Answer:
C
Step-by-step explanation:
Using the distributive property of multiplication, we can say that 4x+4y-10 >= x+6y-4. Since we want to solve for y, we'll remove the x from one side (in this case, the left). Subtracting 4x from both sides, we get that 4y-10 >= -3x+6y-4. Separating the y, we can similarly subtract 6y from both sides to get rid of the y on the right and add 10 to both sides to get rid of the 10 on the left, resulting in -2y >= -3x+6. As we want to separate y, we must multiply our inequality by a negative number (-1/2, to be exact, as 1/(-2) = -1/2). However, when we multiply by a negative number, we must flip the sign. Thus, if we multiply both sides by -1/2, our result is y<= 1.5x+3, or C
Use the following ordered pairs
X(-2,3)
Z(-6, -7)
If Y is the midpoint of XZ, find the ordered pair for Y.
The ordered pair for Y is (-4,-2)
Step-by-step explanation:
Given
X(-2,3)
Z(-6,-7)
As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.
Let (x_Y, y_Y) be the coordinates of the mid-point
Then
[tex](x_Y, y_Y) = (\frac{x_1+_2}{2} , \frac{y_1+y_2}{2})[/tex]
Putting the values
[tex]=(frac{-2-6}{2} , \frac{3-7}{2})\\=(\frac{-8}{2} , \frac{-4}{2})\\=(-4, -2)[/tex]
Hence,
The ordered pair for Y is (-4,-2)
Keywords: Coordinate geometry, Mid-point
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The table below shows the numbers of tickets sold at a movie theater on Friday.
NUMBER OF TICKETS SOLD
Day
Adult Tickets
Children's
Tickets
1,678
976
Friday
Saturday
The number of each type of ticket sold on Saturday is described below.
• Adult tickets-2 times as many as the number of adult tickets sold
on Friday
• Children's tickets-3 times as many as the number of children's
tickets sold on Friday
Complete the table above to show the numbers of tickets sold on Saturday.
What is the total number of tickets sold over these two days?
Answer:
Find the question in the attachment below.
Number of tickets sold on Saturday [tex]=6986[/tex]
Number of tickets sold over the days [tex]=9640[/tex]
Step-by-step explanation:
a.
Number of tickets sold on Saturday
Twice as many as the number of adult tickets [tex]=2\times 976= 1952[/tex]
Three times as many as the number of children's tickets [tex]3\times 1678=5034[/tex]
Total number of tickets sold on Saturday =[tex](1952+5034)=6986[/tex]
b.
Total number of tickets sold on Friday and Saturday
Summation of adult and children's ticket on both the days.
[tex]=(6986+976+1678)=9640[/tex]
So total tickets sold on Saturday is [tex]6986[/tex] and tickets sold on both days [tex]=9640[/tex]
(3+5^2) dividend by 4+19
Answer:
26
Step-by-step explanation:
Answer: 26
Step-by-step explanation:
James has a bag 77 of nickels and dimes. The total value of coins is $6.60. How many dimes does James have?
James has 55 dimes in the bag
Step-by-step explanation:
The given is:
James has in a bag 77 of nickels and dimesThe total value of coins is $6.60We need to find how many dimes James has
Assume that the number of nickels is x and the number of
dimes is y in the bag
∵ There are x nickels in the bag
∵ There are y dimes in the bag
∵ There are 77 coins in the bag
∴ x + y = 77 ⇒ (1)
∵ 1 nickel = 5 cents
∴ The value of nickles in the bag = 5x cents
∵ 1 dime = 10 cents
∴ The value of dimes in the bag = 10y cents
∵ The total value of coins is $6.60
∵ 1 dollar = 100 cents
∴ $6.60 = 6.60 × 100 = 660 cents
∴ 5x + 10y = 660 ⇒ (2)
Now we have a system of equations to solve it
Multiply equation (1) by -10 to eliminate y
∵ -10x - 10y = -770 ⇒ (3)
- Add equations (2) and (3)
∴ -5x = -110
- Divide both sides by -5
∴ x = 22
Substitute the value of x in equation (2) to find y
∵ 22 + y = 77
- Subtract 22 from both sides
∴ y = 55
∴ The number of dimes is 55
James has 55 dimes in the bag
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Answer:
This is correct I did it on schoology
Step-by-step explanation:
Collette and Jakara went shopping at a local music store. The shop advertised that all CDs marked with a red dot,r, were one price and all CDs marked with a green dot,g, were another price. Collette bought 2 green-dot CDs and 4 red-dot CDs for $52. Jakara bought 3 red-dot CDs and 1 green-dot CD for $34. Write and solve a system of equations to determine how much the store charges for each green-dot and each red-dot CD.
The store charges $8 for one red dot CD and $10 for one green dot CD.
Step-by-step explanation:
Given,
Red dot CDs = r
Green dot CDs = g
According to given statement;
4r+2g=52 Eqn 1
3r+g=34 Eqn 2
Multiplying Eqn 2 by 2;
[tex]2(3r+g=34)\\6r+2g=68\ \ \ Eqn\ 3\\[/tex]
Subtracting Eqn 1 from Eqn 3
[tex](6r+2g)-(4r+2g)=68-52\\6r+2g-4r-2g=16\\2r=16[/tex]
Dividing both sides by 2;
[tex]\frac{2r}{2}=\frac{16}{2}\\r=8[/tex]
Putting r=8 in Eqn 2
[tex]3(8)+g=34\\24+g=34\\g=34-24\\g=10[/tex]
The store charges $8 for one red dot CD and $10 for one green dot CD.
Keywords: linear equation, subtraction
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By setting up and solving a system of linear equations based on the information that Collette bought 2 green-dot and 4 red-dot CDs for $52, and Jakara bought 3 red-dot CDs and 1 green-dot CD for $34, we determined that the price of each green-dot CD is $10 and each red-dot CD is $8.
Collette and Jakara went shopping at a local music store which had CDs marked with a red dot, r, at one price and CDs marked with a green dot, g, at another price. Collette bought 2 green-dot CDs and 4 red-dot CDs for $52, and Jakara bought 3 red-dot CDs and 1 green-dot CD for $34. To determine the prices for each type of CD, we set up a system of equations based on the information provided:
2g + 4r = 52 (Equation 1: Collette's purchase)
1g + 3r = 34 (Equation 2: Jakara's purchase)
We can solve this system of equations using either the substitution or the elimination method. In this answer, we will use the elimination method.
Multiply Equation 2 by 2 to align the coefficients of g: 2g + 6r = 68
Subtract Equation 1 from the new version of Equation 2 to eliminate g: (2g + 6r) - (2g + 4r) = 68 - 52
This simplifies to 2r = 16, so divide by 2 to find r: r = 8
Use the value of r to solve for g in Equation 1: 2g + 4(8) = 52
This simplifies to 2g + 32 = 52, so subtract 32 from each side: 2g = 20
Finally, divide by 2 to find g: g = 10
Therefore, the price of a green-dot CD is $10 and the price of a red-dot CD is $8.
please solve with working much appreciated
Answer:
x = 85
Step-by-step explanation:
There are two triangles. For the purpose of communication, I label them as right triangle and acute triangle.
All triangles' interior angles must add to 180°.
Since we already have two of the three angles in the acute triangle, we can find the third angle, which I label as "y":
180° = 25° + 60° + y
180° = 85° + y
180° - 85° = 85° - 85° + y
y = 95°
Supplementary angles are angles that add to 180°. This is true of any straight lines.
In this question, the angles x and y are supplementary because they make up a straight line.
x + y = 180°
x + 95° = 180°
x = 85°
Without all these steps, we can also figure out that x = 85 by adding 60° and 25° because the sum of a triangles' two interior angles are equivalent to the supplementary of the third angle.
Find an exponential function with a horizontal asymptote y = - 7 whose graph contains the points (0.- 6) and (1,6).
The exponential function with a horizontal asymptote y = -7 that passes through the points (0, -6) and (1, 6) is:
y = [tex]e^{(ln(13)x)} - 7[/tex].
To find an exponential function with a horizontal asymptote y = -7 that passes through the points (0, -6) and (1, 6), we can use the general form of an exponential function:
[tex]y = A * e^{(kx)} + C[/tex]
where A is the initial value, k is the growth/decay rate, e is the base of the natural logarithm (approximately 2.71828), x is the independent variable, and C is the y-coordinate of the horizontal asymptote.
Step 1: Determine the value of C (the y-coordinate of the horizontal asymptote):
Since the asymptote is y = -7, we set C = -7.
Step 2: Use the given points to find A and k:
For point (0, -6):
-6 = A * e⁰ - 7
-6 + 7 = A
A = 1
For point (1, 6):
6 = 1 * [tex]e^{(k*1)[/tex] - 7
13 = [tex]e^{k[/tex]
Step 3: Solve for k:
Take the natural logarithm of both sides: ln(13) = k
Step 4: Write the exponential function:
The exponential function with a horizontal asymptote y = -7 that passes through the points (0, -6) and (1, 6) is:
y = [tex]e^{(ln(13)x)} - 7[/tex].
This function will have a horizontal asymptote at y = -7 and pass through the given points (0, -6) and (1, 6).
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