Subtract to find the difference:
2000 - 500 = 1500
Divide the difference by the original population:
1500 / 500 = 3
Multiply that by 100 to get the percentage:
3 x 100 = 300%
Rafael took 4 pumpkin pies to a family gathering.If he divides each pie into six equal-size slices,haw many slices can he serve
4 ÷ [tex]\frac{1}{6}[/tex]
= 4 * [tex]\frac{6}{1}[/tex]
= 24
Answer: 24 slices
What a square patch of fabric is 2.25 square inches. What is the side length of the patch?
Since, area of square patch of fabric = 2.25 square inches
Area of square of side 's' = [tex]s^2[/tex]
Since, area of square patch of fabric = 2.25 square inches
[tex]2.25 = s^2[/tex]
[tex]s = \sqrt{2.25}[/tex]
s = 1.5 inches
Therefore, the side length of the patch is 1.5 inches.
Final answer:
To determine the side length of a square with an area of 2.25 square inches, take the square root of the area, which is 1.5 inches.
Explanation:
To find the side length of a square patch of fabric that is 2.25 square inches, we need to understand that the area of a square is given by the formula Area = side × side (or side2). Given that the area is 2.25 square inches, we set up the equation side2 = 2.25.
Now, to find the side, we take the square root of both sides of the equation:
√(side2) = √2.25side = 1.5Therefore, the side length of the square patch is 1.5 inches.
-y= -2x +5 how do you make variable positive
The tire franks bike moves 75 inches in at one rotation how many rotations will the tire have made after frank rides 50 feet
Please Help!
Multiply. −3/10xy(60xy^6) Enter your answer in the box.
Answer:
first we will multiply -3/10 and 60,
-3/10 x 60 = -18
(one-tenth of 60 is 6, and because we are multiplying -3/10 and not -1/10 we can multiply 6 by -3 to get 18.)
then multiply the exponents
x(x) = x^2
y(y^6) = y^7
we can then multiply all terms together to form one single term
-18(x^2)y^7=-18x^2y^7
our final answer is:
-18x^2y^7
The answer to the given question is [tex]\[ \boxed{-18x^2y^7} \][/tex]
First, we need to multiply the numerical coefficients and the literal coefficients (variables) separately. The numerical coefficients are -3 and 60, and the literal coefficients are 1/10, x, y, x, and [tex]y^6[/tex].
Multiplying the numerical coefficients:
[tex]\[ -3 \times 60 = -180 \][/tex]
Multiplying the literal coefficients (variables):
[tex]\[ \frac{1}{10} \times x \times y \times x \times y^6 \][/tex]
Since we have two x's and one y to the power of 6, we can simplify this as:
[tex]\[ \frac{1}{10} \times x^2 \times y^7 \][/tex]
Now, we combine the numerical and literal coefficients:
[tex]\[ -\frac{180}{10} \times x^2 \times y^7 \][/tex]
Simplifying the numerical fraction:
[tex]\[ -18 \times x^2 \times y^7 \][/tex]
Therefore, the final simplified expression is:
[tex]\[ -18x^2y^7 \][/tex]
The answer is: [tex]-18x^2y^7[/tex].
Drag each symbol and number to the correct location on the inequality. Not all symbols and numbers will be used.
Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took out 16 plastic cups for his teammates and poured the same amount of water into each cup.
Find the number of ounces of water, x, that Will could have poured into each cup.
Answer:
x ≤ 8
Step-by-step explanation:
Will first used 16 of the 144 ounces for his own water bottle. This leaves 144-16 = 128 ounces.
Dividing that equally amount 16 plastic cups, each cup would have at most
128/16 = 8 ounces.
This means each one would have x ≤ 8 ounces.
The correct inequality is 8 > 6 .
To solve this problem, we need to figure out how many ounces of water Will could pour into each cup. He started with a cooler filled with 144 ounces of water.
Then, he took out 16 ounces for his own water bottle. So, he had 144 - 16 = 128 ounces left.
Since he poured the same amount of water into each of the 16 cups, we can divide the total remaining ounces by the number of cups to find out how many ounces each cup contains:
[tex]\[ \frac{128}{16} = 8 \][/tex]
So, Will could have poured 8 ounces of water into each cup.
Therefore, the correct inequality is:
8 > 6
A survey of teens showed that teens in brooklyn, ny aged 13-18 spend 16.9 hours per week online. Teens in charlotte, nc spend 13.2 hours per week online. Write and solve an addition equation to find the difference on time spent online by teens in these cities
To work this out we have to do 16.9 hours - 13.2 hours = 3.7 hours so there is a 13.7hour difference and to show it as an addition equation you do 13.2 hours + 3.7hours = 16.9 hours
The difference in time spent online by teens in Brooklyn, NY and Charlotte, NC is 16.9 hours.
Explanation:To find the difference in time spent online by teens in Brooklyn, NY and Charlotte, NC, we can write and solve an addition equation.
Let's define:
x = time spent by teens in Brooklyn, NY (in hours)y = time spent by teens in Charlotte, NC (in hours)The equation is: x + y = difference in time spent online
Given that teens in Brooklyn, NY spend 16.9 hours per week online and teens in Charlotte, NC spend 13.2 hours per week online, we can substitute these values into the equation:
16.9 + 13.2 = difference in time spent online
Simplifying the equation, we get:
difference in time spent online = 30.1 - 13.2
Therefore, the difference in time spent online by teens in Brooklyn, NY and Charlotte, NC is 16.9 hours.
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***HELP***
what does the "o" mean in geometry transformation notation?
for example: T(6,-1) o Rx-axis o r(180,0)
I think it's degrees or like something to do with translating?!
It is function composition. If you have one function f(x), and another function g(x), then we can create a new function named g∘f (read as: "gg composed with ff") that is defined as(g∘f)(x)=g(f(x))(g∘f)(x)=g(f(x))For example, if f(x)=x+1f(x)=x+1, and g(x)=2x−1g(x)=2x−1, then(g∘f)(x)=g(f(x))=g(x+1)=2(x+1)−1=2x+1
Use the equation y=7x+3 to determine the ordered pairs when x=2 and x=-1
please help ☹️
If michael family has 210 acres and each cow take 1/3 acre of grazing how many cattle could their farmland support
Julia has 3 and 1/2 pounds of dog food.She plans to split it equally among her 7 dogs. How much will dog food will each dog receive?
Answer:
Each dog will receive [tex]\frac{1}{2}[/tex] pounds of dog food.
Step-by-step explanation:
This is a very straightforward question.
To find the amount each dog gets we have to divide the total number of dog food to 7 equal portions.
Amount of dog food each dog will receive= Total number of dog food / number of dogs
=[tex]\frac{3\frac{1}{2} }{7}[/tex]
=[tex]\frac{\frac{7}{2} }{7}[/tex]
=[tex]\frac{7}{7*2}[/tex]
=[tex]\frac{1}{2}[/tex] pounds
Therefore, each dog will receive [tex]\frac{1}{2}[/tex] pounds of dog food.
The piecewise function h(x) is shown on the graph. What is the value of h(2)? −2 −1 0 3
For the shown graph, we need to find the value of h(2).
h(2) represents the value of h function for x=2.
We need to check the value of function on the graph where h is 2.
From the graph, we can see for x=2, we have a solid dot for y coordinate at 0 and a hollow dot at y coordinate at 3.
Because hollow dot represents excluded value.
Therefore, we would take y coordinate of solid dot of the graph at x=2.
Therefore, f(2) = 0.
Correct option is third option, that is 0.I need HALP!
Using the expression 5x 2 + 7, match the following items.
exponent 2
variable 5
coefficient 7
constant x
Material for a dress costs £5.50 per metre.
find the cost of 10cm and 70cm
Answer:
The cost of 10 cm and 70 cm are £0.55 and £3.85 respectively.
Step-by-step explanation:
Material for a dress costs £5.50 per meter.
We know that, 1 meter = 100 cm.
Suppose, the cost of 10 cm material is [tex]x[/tex] and the cost of 70 cm material is [tex]y[/tex]
Now, according to the ratio of "cost" to the "length of material" , we will get.......
[tex]\frac{x}{10} =\frac{5.50}{100}\\ \\ 100x=10*5.50=55\\ \\ x=\frac{55}{100}=0.55[/tex]
and
[tex]\frac{y}{70} =\frac{5.50}{100}\\ \\ 100y=70*5.50=385\\ \\ x=\frac{385}{100}=3.85[/tex]
So, the cost of 10 cm material is £0.55 and the cost of 70 cm material is £3.85
Jon is selling tickets for the school talent show. On the 1st day, he sold 3 senior tickets and 12 child tickets for $195. On the 2nd day he sold 13 senior tickets for $299. Find the price of a senior citizen ticket.
Jon is selling tickets for the school talent show. On the 1st day, he sold 3 senior tickets and 12 child tickets for $195. On the 2nd day he sold 13 senior tickets for $299. Find the price of a senior citizen ticket.
Answer:$23Create a system of equations to help you solve this problem. The system of equations will look like: 3s + 12c = 195 and 13s = 299. The variable s represents the cost of senior tickets and the variable c represents the cost of children tickets.
[tex]\left \{ {{3s~+~12c~=~195} \atop {13s~=~299}} \right.[/tex]
Solve the second equation for the variable s as this is the easiest way to solve the problem. Solve the second equation for s by dividing both sides of the equation by 13 to isolate the variable s.
s = 23
Since the question was only asking for the price of a senior citizen ticket, you are technically done. The first equation was only put there to confuse you or allow you to check your work if you needed to. The price of a senior citizen ticket (variable s) is $23.
your cell phone company started a rewards club. For every three text sent, you get 15 points. You need 1800 points for prize. How many tags do you need to send to get that prize?
You need to send 360 texts to earn 1800 points and get the prize.
To figure out how many texts you need to send to obtain the prize from your cell phone company's reward club, you'll want to set up a proportion because you earn a set number of points for every several texts sent. In this case, you get 15 points for every three texts.
Let's use the variable T to denote the total number of texts needed to be sent. We know that:
3 texts = 15 points
T texts = 1800 points
To find T, we can set up a ratio and solve for the variable:
[tex]\(\frac{3 texts}{15 points} = \frac{T texts}{1800 points}\)[/tex]
Cross multiply to solve for T:
3 texts * 1800 points = 15 points * T texts
T = [tex]\(\frac{3 * 1800}{15}\)[/tex]
T = 360 texts
Therefore, you need to send 360 texts to earn 1800 points and get the prize.
PLS HELP! 20 PTS
Use rounding to determine if the answer is reasonable. Round each of the factors to the nearest ten, then multiply. 587 × 92 = 54,004
587 rounded to the nearest ten is 590, and 92 is 90. Then, take 590 times 90 to get 53100. The two answers are in the same ballpark, so yes, the answer is reasonable.
What is the difference of the polynomials? (m^2n^2-7)-(mn+4)
Answer choices
mn – 11
mn + 3
m^2n^2-mn-11
m^2n^2-mn-3
Answer: The difference is,
[tex]m^2n^2-mn-11[/tex]
Step-by-step explanation:
Given expression is,
[tex](m^2n^2-7)-(mn+4)[/tex]
By distributive property,
[tex]m^2n^2-7-mn-4[/tex]
Combine like terms( that have the same variables and powers ),
[tex]m^2n^2-mn-11[/tex]
Which is the required result.
Hence, option third is correct.
Please help and show work!! Will give brainliest!!
The answer to your question is B.
Ok so here it is:
-67 ≥ 5 + 3n -21
-67+ 21 ≥ 5 + 3n -21 + 21
the 21 cancel each other out
now add -67 and 21
-46 ≥ 5 + 3n
-46 -5 ≥ 5 -5 +3n
the 5 cancel each other out
now subtract -5 from -46
-51 ≥ 3n
-51 / 3 ≥ 3n / 3
3 cancel each other out
now divide -51 and 3
n ≤ -17
B
need help k=(-1)
d=(-2)
6 is your answer good luck
HELP PLEASE!!
A conjecture and the two-column proof used to prove the conjecture are shown.
Drag an expression or phrase to each box to complete the proof.
3. AB = CE
4. CE = AC
5. Transitive property of congruence
6. Definition of isosceles triangle
Triangle ABC Is an isosceles triangle because line AB is equal to line AC .
What is an isosceles triangle?An isosceles triangle is a triangle with two equal sides and two equal angles. The third side and angle may differ in length and measure.
The symmetry in side lengths and angles gives it distinct geometric properties.
Since line BD is equal to line CE and line CE is equal to line AC, this means that line BC is a bisector of line AD and AE,
Therefore we can say triangle ABC is an isosceles triangle because AB = AC.
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Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts into 3/10 kilogram bags. How many bags of mixed nuts does she have.
Answer:
5
Step-by-step explanation:
The total number of bags of mixed nuts with Carmela are 5.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Carmela who mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts into 3/10 kilogram bags.
We can write the equation as -
(3/4 + 1/2 + 1/4) x 1000 = (3/10) x 1000 x n
1.5 x 1000 = 3 x 100 x n
1.5 x 10 = 3n
15 = 3n
n = 5
Therefore, the total number of bags of mixed nuts with Carmela are 5.
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The graph shows Kelly traveling from home to her grandmother's house: A graph is shown with the title Kelly's drive. The x-axis is labeled Time driving, and the y-axis is labeled Distance driven. Segment A begins at the origin and continues quickly upward until x equals 0.5. Segment B is a horizontal line from x equals 0.5 until 1.75. Segment C moves in an upward direction until x equals 3. Segment D moves in an upward direction until x equals 3.5 Which interval on the graph indicates she is stuck in a traffic jam? A B C D
Answer:
The correct option is: B
Step-by-step explanation:
The x-axis is labeled Time driving, and the y-axis is labeled Distance driven.
Segment B is a horizontal line from x equals 0.5 until 1.75.
So, the value of [tex]y[/tex] is constant in the interval [tex]x=0.5[/tex] to [tex]x=1.75[/tex] is 0.
Thus, the distance traveled in the time interval 0.5 to 1.75 will be 0, which means the car was in the same position in that time interval.
So, the interval B on the graph indicates she is stuck in a traffic jam.
Answer:
B
Step-by-step explanation:
A bee flew 840 \text{ cm}840 cm840, space, c, m and landed on a flower to collect some pollen. Then the bee flew another 330 \text { cm}330 cm330, space, c, m to get back to her hive. How many meters did the bee travel?
Answer:
The bee traveled 11.7 meters.
Step-by-step explanation:
A bee flew 840 cm first to land on a flower to collect some pollen and then flew another 330 cm to get back to her hive.
For finding the total distance traveled, we need to just add 840 cm and 330 cm.
So, [tex](840+330) cm = 1170 cm[/tex]
We know that, 1 meter = 100 cm. That means, for converting 'cm' into 'meter' , we need to divide by 100.
Thus, [tex]1170 cm= \frac{1170}{100} meter = 11.7 meter[/tex]
So, the bee traveled 11.7 meters.
Answer:
11.7
Step-by-step explanation:
khan academy
Solve for k.
20-6+4k=2-2k
20 - 6 + 4k = 2 - 2k
14 + 4k = 2 - 2k added like terms (20 and -6)
+2k +2k
14 + 6k = 2
-14 -14
6k = -12
[tex]\frac{6k}{6} = \frac{-12}{6}[/tex]
k = -2
Answer: k = -2
The solution to the equation is k = -2.
To solve for k in the equation 20 - 6 + 4k = 2 - 2k, we can start by simplifying both sides of the equation.
Combining like terms on each side:
14 + 4k = 2 - 2k
Next, we can isolate the variable k by moving all terms containing k to one side of the equation.
Adding 2k to both sides:
14 + 4k + 2k = 2 - 2k + 2k
14 + 6k = 2
Now, we'll isolate the variable k by subtracting 14 from both sides:
14 + 6k - 14 = 2 - 14
6k = -12
To solve for k, we'll divide both sides by 6:
(6k)/6 = (-12)/6
k = -2
Therefore, the solution to the equation is k = -2.
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What is the point slope for of the line with. Slope 2/5 that passes through the point (-4,-7)
The point-slope form of a line:
[tex]y-y_0=m(x-x_0)[/tex]
We have:
[tex]m=\dfrac{2}{5}\\\\(-4,\ -7)\to x_0=-4,\ y_0=-7[/tex]
Substitute:
[tex]y-(-7)=\dfrac{2}{5}(x-(-4))\\\\y+7=\dfrac{2}{5}(x+4)[/tex]
Becky purchased a home entertainment center set for $2254
This isn't even the full question
Math Help PLZ!!!!!!!!!
Answer: C
Step-by-step explanation:
f(x) = 2x + 1 ⇒ 2x + 1
- g(x) = -(x² - 7) ⇒ -x² + 7
(f-g)(x) = -x² + 2x + 8
Troy's truck has a 30 gallon gas tank ad gets an average of 21 miles per gallon. If the tank is half full, approximately how many miles has troy driven since last filling up his tank?
The basic equation for calculating compound interest is A=P(1+r/n)^(nt). If 1400 is inve if 1400 is inverested at an interest rate of 6% per year, compounded quarterly, how much will the investment be worth at the end of 10 years?
Answer:
2539.63
Step-by-step explanation:
A = 1400(1 + 0.06/4)^(4*10)
= 2539.63