A city had a population of 2,425 and was growing by 27 residents per year. City B had a population of 1,813 and was growing by 63 residents per year. If this continues, how many years will it take for them to be the same?
Answer:
17 years
Step-by-step explanation:
In order to calculate this, we need to create an equality equation. In this scenario, we have the fixed values which are the total population and the rate of growth, and we also have one variable which is the number of years. We can use these values to create the following equation.
2,425 + 27x = 1,813 + 63x
Now that we have the equation we can solve for x to calculate how many years it will take for them to be the same population.
2,425 + 27x = 1,813 + 63x ... subtract 1,813 and 27x from both sides
612 = 36x ... divide both sides by 36
17 = x
Finally, we can see that both populations will be the same after 17 years.
The wholesale price of a flower arrangement was $60 and the flowers were marked up 30%.
Finish the diagram to find the retail price.
100 percent is a 60 dollars wholesale price, 30 percent markup is a, and retail price is b.
Step-by-step explanation:
I couldn't put this full page.
Thankfully I found the answer
Answer:
A would be 18$ and B would be 78$
Step-by-step explanation:
i took this on edge
hope this helps <3
bye
Traci paid $11 to get into a carnival. Each game she played cost $3. Which function can be used to find t, the total amount of money Traci will spend after playing g games?
Answer: Either A or B because you have to add the amount you have to get the total amount she spent.
Step-by-step explanation:
Open Ended Dan takes an airplane to visit his parents. He pays the airline a total of $400. The cost of the ticket is $320. The airline also charges $10 for every pound that the luggage goes over the 50 pound limit
How many pounds is Dan's luggage over the 50 pound limit? Use pencil and paper. Describe another situation using the same numbers.
Dan's luggage is pounds over the limit
Type a whole number.)
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
Dan paid $80 for his luggage
Step-by-step explanation:
$400
-$320
= $80
Jake wants to go to a lil uzi vert concert. A lil uzi vert concert ticket cost $320. The backstage pass is only $400, so Jake pays for that instead. He later figured out that he wanted to lose 50 pounds before the concert in 6 months and for every time he goes to the gym he has to pay $10 he only goes to the gym 8 times and his bank account has $500 on it. How much money did he have left over after going to the gym 8 times? - PS don't worry about this question its just a fake scenario i made for the second part of your question hope this helps!!!
Connie and Chris are saving money to go to a concert. Each friend starts with some money and saves a specific amount each week.
Connie wrote an equation to show the total, y, she has saved at the end of each week, x.
y = 6x + 9
Chris made a graph to show the total he has saved at the end of each week.
Compare the amount that each friend has when both friends start saving.
Select the correct answer from the drop-down menu to complete the statement.
Chris starts with $
Choose...
and Connie starts with $
Choose...
.
HELP! look at image pls
Which number sentence is not true?
OA) |-20< 20
OB) |9| = 9
OC) |-20| > |9|
OD) 19 < 20
Answer:
a
Step-by-step explanation:
While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but she isn't sure how far that is. She decides to estimate the distance in miles. If Judy uses the fact that 1 kilometer is about 0.6 miles, what will her estimate be?
Answer:
24 miles
Step-by-step explanation:
In order to calculate Judy's estimation, we would simply have to multiply the actual distance in kilometers of the tour by the number of miles that Judy believes are in a single mile. This would give us Judy's estimation for how long the tour would be in miles.
40 km. * 0.6 miles = 24 miles
Finally, we can see that Judy's estimation would be that the tour is 24 miles long. Using Judy's believed conversion rate.
is y= -7x linear or non linear
Answer:
I think Linear but i am not sure
Step-by-step explanation:
A linear function is a function with standard form y = mx + b, where m is the slope and b is the y-intercept, and whose graph looks like a straight line. There are other functions whose graph is not a straight line. These functions are known as nonlinear functions and they come in many different forms.
A total of 563 tickets were sold for the school play. They were either adult tickets or student tickets. There were 63 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer: 500 adults tickets were sold
Step-by-step explanation: So you can do 563 subtract 63 to get the answer of 500
Carol's book collection contains 12 mysteries, 8 biographies, and 5 plays.
The ratio that compares the number of biographies to the total number of books is_______ to ______
Answer:
8:25
Step-by-step explanation:
Theres 8 biography books and 25 books in total. 8:25
:D
The price of a DVD is $19 . This price is 12% lower than last week.
What was the price of the DVD last week?
Answer:
$21.28
Step-by-step explanation:
First, find 12% or 19 -- this is 2.28
Next, take the total (19) and add 2.28 to it.
$19+$2.28=$21.28
A coat was originally priced at $50. It went on sale for $35. What was the percent that the coat was discounted?
Answer:
30%
Step-by-step explanation:
I apologize if I am incorrect
Answer:
70%
Step-by-step explanation:
set up an equation for the word problem that looks like this: 50x = 35
and solve by dividing both sides by 35
50x ÷ 50 = x
35 ÷ 50 = .7
.7 = 70%
x = 70%
Compared to last month, there was a 50% increase in the number of houses sold this month.
Answer:150%
Step-by-step explanation:because 50% increases
The number of houses sold this month are -
y = 3x/2.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that compared to last month, there was a 50% increase in the number of houses sold this month.
Assume that the number of houses sold of previous moth were [x]. Then, we can write -
y = {x} + 50% of {x}
y = {x} + (50/100) × {x}
y = {x} + {x/2}
y = 3x/2
Therefore, the number of houses sold this month are -
y = 3x/2.
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There are two aquariums in a science room. One of the aquariums is 18 inches wide, 25 inches long, and 12 inches high. If there are 231 cubic inches in a gallon, how many gallons of water can the aquarium hold( to the nearest tenth of a gallon)
Answer:
23 (rounded) (You can't overflow a fish take Or what would be the point of the tank.)
Step-by-step explanation:
The unrounded answer is 23.376623376623376623376623376623.
....... ..............
Answer:
C. 4 and 5
Step-by-step explanation:
24 / 5 = 4.8
Option A is false since 4.8 is greater than both numbers.
Option B is also false because 4.8 is greater than both numbers.
Option C is true because 4 is less than 4.8 and 5 is greater than 4.8, making 4.8 lying between those numbers.
Best of Luck!
Andre’s group was asked to write an expression equivalent to 5 p squared q + 7 p q squared minus 10. When Ms Berger checked their answers, she found only one to be correct. Who had the correct answer?Andre
7 p squared q + 7 p q squared minus 1 minus 2 p squared q minus 9
Jill
5 p squared q + 2 p q squared minus 6 + 5 p q squared minus 3
Anuj
4 p squared q + 7 p q squared minus 7 + 2 p squared q minus 3
Marsha
5 p squared q + 5 p q squared minus 10 + 3 p q squared
Answer:
b
Step-by-step explanation:
Answer: the 1st one; Andre
Step-by-step explanation: I just took the test
If the data in the stem-and-leaf graph below were shown in a line plot, which statement(s) would be true of the line plot?
Test Scores
Stem Leaves
6 8
7 0
8 0, 6, 8, 8,
9 6, 6, 7, 7, 8, 8, 9
10 0, 0, 0, 0, 0
6|0 = 60 years old
The line plot would be flat.
The individual data would not be shown.
We would not be able to find the mean.
We could calculate the range and median.
Answer:
I think the 4th line plot would not be true
Step-by-step explanation:
We could calculate the range and median.
What is Line Plot?A line plot, also known as a dot plot, is a type of graph that displays the distribution of a set of data. It consists of a number line with dots or X's placed above each data value to represent how many times that value appears in the data set.
Using the stem-and-leaf plot in the diagram, below, write out each data points given, which are:
68, 70, 80, 86, 88, 88, 96, 96, 97, 97, 98, 98, 99, 100, 100, 100, 100, 100
The line plot for these data would have the following frequency for each data point:
68 - 1 dot
70 - 1 dot
80 - 1 dot
86 1 dot
88 - 2 dots
96 - 2 dots
97 - 2 dots
98 - 2 dots
99 - 1 dot
100 - 5 dots
The line plot is shown in the diagram below.
Range = 100 - 68 = 32
Median = 97
Therefore, We could calculate the range and median.
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A 7/9 and 0.7
B9/7 and 0.7
C 7/9 and 0.7
D9/7 and 0.777
Answer:
A
Step-by-step explanation:
7000/9= 777 7/9 and 777.7repeating
Answer is 7/9 and 0.7 repeating
What is the center and radius of the circle with the given equation? [tex]x^2+y^2+2x+8y=8[/tex]
Answer:
(- 1, - 4 ) and r = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
To obtain this form from the given equation use the method of completing the square.
Given
x² + y² + 2x + 8y = 8 ( rearrange by collecting x and y terms )
x² + 2x + y² + 8y = 8
To complete the square
add ( half the coefficients of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(4)x + 16 = 8 + 1 + 16
(x + 1)² + (y + 4)² = 25 ← in standard form
with centre (h, k ) = (- 1, - 4 ) and r = [tex]\sqrt{25}[/tex] = 5
3) You are selling raffle tickets. You sell tickets to adults and children. You sell a
total of 475 fickets. Edult tickets cost $3 per ticket and children tickets cost $2
per ticket. You eam a total of $1200. How many adult tickets and how many
children tickets were sold?
Answer:
250 adult tickets and 225 children ticketsStep-by-step explanation:
Let adult tickets be a and children tickets be c.
System of equations as per given:
a + c = 4753a + 2c = 1200Substituting c in the second equation
c = 475 - a3a + 2(475 - a) = 12003a + 950 - 2a = 1200a = 1200 - 950a = 250Then, finding c:
c = 475 - 250 = 225Answer:
250 adult tickets and 225 children ticketsTo determine the height of a pine tree, you measure the shadow cast by the tree and find it to be 20 feet long. Then you measure the shadow cast by a 36-inch tall oak sapling and find it to be d= 12 inches long (see figure). Estimate the height of the pine tree.
Answer:
Height of the pine tree = 60 in.
Step-by-step explanation:
Since, triangle formed by the tip of the tree and tip of the shadow of the tree will be similar to each other,
By the property of similarity, corresponding sides of the similar triangles will be proportional.
[tex]\frac{x}{20}=\frac{36}{d}[/tex]
If d = 12 inches,
[tex]\frac{x}{20}=\frac{36}{12}[/tex]
x = [tex]\frac{20\times 36}{12}[/tex]
x = 60 in.
Therefore, height of the pine tree will be 60 in.
Which values are two of the possible solutions to the equation? sin(5x-pi)= sqrt2/2, for x is greater than or equal to 0 and less than 2pi
A) pi/20, 3pi/20
B) pi/4, 7pi/20
C) pi/4, 7pi/4
D) 5pi/4, 7pi/4
Answer:
B
Step-by-step explanation:
B
The two of the possible solutions to the equation sin(5x - π) = (√2)/2 are,
⇒ (π/4, 7π/4).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Here, The given equation is;
sin(5x - π) = (√2)/2
Now, We can write 2 as √2 × √2
So, We get;
sin(5x - π) = √2/√2*√2
sin(5x - π) = 1/√2
Taking sin⁻¹ on both side,
sin⁻¹ (sin(5x - π)) = sin⁻¹ (1/√2)
5x - π = sin⁻¹ (1/√2)
Hence, From the trigonometry table we know that sin⁻¹ (1/√2) = π/4
Thus,
5x - π = π/4
5x = π + π/4
5x = 5/4π
Divide by 5 on both side, we get
x = π/4
Now, since x < 2π, then it means it is in the fourth quadrant. Thus;
x = 7π/4
So, the two of the possible solutions to the equation sin(5x - π) = (√2)/2 is (π/4, 7π/4).
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determine the slope and the y-intercept
Answer:
B m = 1/2 y-int = -1
Step-by-step explanation:
at x = 0, y=-1 so that is the y-intercept
to find the slope, use the slope formula m=(y2-y1)/(x2-x1)
m=(0--1)/(2-0)
m=1/2
The sum of a number,x,and 1/2 is equal to 4. Which set of equations correctly represents x
Answer:
I am pretty sure it would be 1/2 + x = 4
Step-by-step explanation:
Original Price: $16.45
Markdown: 33%
What is the sale price? Round to two decimal places
Answer:
11.02
Step-by-step explanation:
Remember to multiply the markdown and origin price and then sub what you get from the original price to get an answer. Goodluck
Answer:
$11.02
Step-by-step explanation:
1. Take the original price and multiply it by 33%.
16.45 * 0.33 = 5.4285
2. Round 5.4285 to two decimal places
5.43
3. Take your discount and subtract it from the original price.
$16.45 - $5.43 = $11.02
ons
of
be
?
The baker can make 28 cakes
in 7 days. How many cakes can
the baker make in 5 days?
B
Enter your text here
Answer:
20 cakes
Step-by-step explanation:
Given
28 cakes in 7 days
Required
Determine the number of cakes in 5 days
Represent the required with x. The question illustrates proportionality.
First, we need to represent the given and required as a ratio
[tex]28 : 7 = x : 5[/tex]
Convert ratios to fraction
[tex]\frac{28}{7} = \frac{x}{5}[/tex]
[tex]4 = \frac{x}{5}[/tex]
Solve for x
[tex]x = 4 * 5[/tex]
[tex]x = 20[/tex]
c. Sophia's friend has saved $118 but is not sure how many songs she can afford if she buys the
membership and some songs. Use the expression in part (b) to write an equation that can be used to
determine how many songs Sophia's friend can buy.
okay so it says Sophia's friend has saved $118 so she already knows she has $118 and then the next step is to figure out about Part B so she does not know how many songs you can afford to buy so the expression in Part B whatever the expression is if you figured out the answer to Part B and there's a number what you want to do what you would want to divide that number into 118 to see how how many equal groups you can make and you don't want to go overboard 18 so what you would want to do it if you would want to do if you figure out the number to expression be in the boring part B they don't want to take that and keep making a go go to that until you reach 118 and then you would get your total
The Drop down Boxes are Equal and not Equal
Answer:
1 . -2 and 7. 2.-6 and 3 i think
Step-by-step explanation:
HELP, DUE SOON
Answer er NEEDS to be in slope intersect form! (eg.y=mx+b)
A magician charges parties a $30 fee to cover travel and miscellaneous expenses plus $19.99 per hour. Write an equation to represent the relationship between x, the number of hours, and y, the total charge for the magician.
Answer:
y = 19.99x + 30
Step-by-step explanation:
y = 19.99x + 30
The x represents the number of hours, and because it costs 19.99 per hour, the coefficient before the x will be 19.99. The y-intercept is the fee because it doesn't change with the x.