Set up a proportion:
$288/$48000 = x/$59000
Cross multiply
16992000 = 48000x
x = 354
The tax on the $59000 house was $354
To find the tax on a house assessed at $59,000 using the same tax rate, we can set up a proportion and solve for the unknown tax value.
Explanation:To find the tax on a house assessed at $59,000 using the same tax rate, we can set up a proportion. The tax paid by Serena is $288 and the house assessed value is $48,000. Let's call the tax on the house assessed at $59,000 as 'x'. The proportion will be:
$$\frac{288}{48000} = \frac{x}{59000}$$
Cross multiplying, we get:
$$288 \times 59000 = 48000 \times x$$
Simplifying, we find:
$$x = \frac{288 \times 59000}{48000}$$
Using a calculator, we can evaluate this to find the tax on a house assessed at $59,000.
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I need to know the answer ?
2.31 meters in height
2.65m - 0.34m = 2.31 meters
How do you change 1/9^4 as an expression using a negative exponent other than -1? Please show how you got your answer.
We use an exponent law here.
Since 1/xⁿ = x⁻ⁿ for positive number a and real number n, it follows that
1 / 9⁴ = 9⁻⁴
The expression 1/9^4 can be changed to an expression using a negative exponent by applying the negative exponent rule, resulting in 9^-4.
To change the expression 1/9^4 to one using a negative exponent, we can apply the property of negative exponents which states that x^-n = 1/x^n. The expression 1/9^4 can thus be written as 9^-4 because we are in essence taking the inverse of 9 raised to the fourth power.
Here is the step-by-step explanation:
Identify the base and the positive exponent in the original expression: 1/9^4. Here, the base is 9, and the positive exponent is 4.Apply the negative exponent rule: x^-n = 1/x^n. This tells us that to convert a fraction like 1/x^n into an expression with a negative exponent, we simply keep the base the same and make the exponent negative.Thus, 1/9^4 becomes 9^-4.
The product of 15 and a number all divided by two
The expression which represents the product of 15 and a number all divided by two is (15x)/2.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given,
The product of 15 and a number are all divided by two.
Suppose that number is x.
Product of 15 and x = 15 × x = 15x
It is divided by 2 ⇒ (15x)/2
Hence "The expression which represents the product of 15 and a number all divided by two is (15x)/2".
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Help me find the andwer.
We know that vertically opposite angles are equal
Therefore, 6x-7 = 4x +23
6x -4x = 23 + 7
2x = 30
X = 30/2 = 15
Angle ABC = 6 (15) -7 =90-7 =81
a dog kennel boards dogs for $8 a day the kennel will also groom a dog for $12 write an equation that gives the total cost in dollars of lodging a dog and having it groomed once before it comes home as a function of the number of days the dog is at the Kennel
Answer:
T(d) = $12 + ($8/day)d
Step-by-step explanation:
Total(d) = $12 + ($8/day)d, where d represents the number of days the dog is in the kennel.
I think u mean what i put below if not sorry i wasted your answers.....
Bob was taking his dog into his locol dog bording and grooming area. Bob wants to know how much it would cost him to bord his dog for 2 day and get groomed. If it cost $8 a day for bobs dog to saty there and $12 to be groomed . what would bobs bill be for one groom and 2days of bording.
So, 8x2=16 then do 16+12=28
so bob's bill would be $28
Question number 1 pls
Let x=dog-walking job
Let y= car was attendant
Inequality: 7.50x+6y>92
Inequality: x+y<20
Can someone explain how to identify linear equations please?
Linear equations are an equation between two variables that makes a straight line on a graph. You need to find the value of x or y. You can usually substitute numbers in for x or y until you get what they're equaling.
A) x=1/2
You can get this by first finding the like terms. In this case it would look like 4x-2=0. Then you'd move the constant to the right to get 4x=2. Then just divide both sides by 4 to get 1/2.
Hope this helped! :)
at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite directions the dart express train goes three times faster than the hold freight train. fifteen minutes later the two trains are already 30 miles apart find the speed of each train?
Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
Explanation:
Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.
It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,
[tex]3x=y[/tex] ....(1)
The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of [tex](x+y)[/tex] miles per minute.
[tex]Distance=Speed\times Time[/tex]
The distance between both train in 15 minutes is represented by [tex]15(x+y)[/tex].
According to the given information the distance between trains is 30 miles in 15 minutes.
[tex]15(x+y)=30[/tex]
[tex]x+y=2[/tex]
Use equation (1) and put [tex]y=3x[/tex]
[tex]x+3x=2[/tex]
[tex]4x=2[/tex]
[tex]x=0.5[/tex]
Put this value in equation (1), to find the value of y.
[tex]y=3(0.5)[/tex]
[tex]y=1.5[/tex]
Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
A high school soccer team contains 7 juniors and 17 seniors. What is the ratio of the total number of players on the team to the number of senior players?
The ratio of the total number of players on the soccer team to the number of senior players is 1.41 to 1, found by dividing the total number of players (24) by the number of seniors (17).
Explanation:The question is asking for the ratio of the total number of players on the team to the number of senior players. To get the total number of players, you should add the number of juniors and seniors together. This is, 7 juniors + 17 seniors = 24 total players. The ratio is then calculated as the total number of players divided by the number of seniors, which is, 24 total players ÷ 17 seniors. This simplifies to approximately 1.41 to 1.
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The ____,____, and _____ of three-dimensional figures can be measured.
Length, Width, and Height or lwh
A, D, and E. Length, width, and height
If D is the midpoint of the segment AC and C is the midpoint of segment AB , what is the length of the segment BC , if AD = 3 cm.
Answer:
6 cm
Step-by-step explanation:
Given: D is the midpoint of the segment AC and C is the midpoint of segment AB.
To Find: length of the segment BC , if AD = 3 cm.
Solution:
In line Segment AC,
D is the midpoint of Segment AC
therefore,
[tex]\text{AC}=2\text{AD}[/tex]
In line segment AB,
C is the midpoint of AB,
Therefore,
[tex]\text{BC}=\text{AC}[/tex]
putting the value of AD,
[tex]\text{AC}=2\times\text{AD}[/tex]
[tex]\text{AC}=2\times3[/tex]
[tex]\text{AC}=6[/tex] [tex]\text{cm}[/tex]
as,
[tex]\text{BC}=\text{AC}[/tex]
Length of segment BC is [tex]6[/tex] [tex]\text{cm}[/tex]
The length of segment BC is 6 cm.
The given parameters;
midpoint of line segment AC = Dmidpoint of line AB = Clength of AD = 3 cmTo find:
the length of segment BCA sketch of the given problem is presented below;
A-----------------D--------------------C---------------------------------B
From this sketch above the length of segment BC is calculated as follows;
length AC = length BC
AD is half of AC = 3cm
AC = 2 x 3cm = 6cm
Since AC = BC, BC = 6 cm
Thus, the length of segment BC is 6 cm.
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use the following pattern to answer the questions. 24.3, 24, 23.7, 23.4, ___,____. part A. ( what is the rule for the pattern?
A. add 0.3 to each term
B. subtract 0.3 from each term.
C. add 0.03 to each term.
D. subtract 0.03 from each term
part B
complete the next two terms in the pattern
24.3,. 24, 23 7,. 23,4 choose option 1( 23.1, 23.5, 24.1 ,24,5)
option 2( 22.2,. 22.4, 22.6, 22.8)
3. which explains where the sum of 0.52+0.61 is less than or greater than 1.
A. the sum is less than 1 because both decimals are less than 1.
B. the sum is less than 1 because the sum does not completely shade one hundredths grid.
C. the sum is greater than 1 because the sum shades more than one hundredths grid.
D. the sum is greater than 1 because any two hundredths decimals added together is greater than one.
4. Holland added three decimals that made a sum of 2. one of the decimals was 0.34. what are two other decimals Holland could have used to make a sum of 2? Explain how you know.
5. Maysa made an error in her work on the following problem
3.5 - 2.46 = 1.16
describe Maysa's error. . Explain how you would use a model or place- value concepts to help Maysa build understanding. Give the correct answer in your explanation.
Question 1:
For this case we have the following pattern of numbers:
24.3, 24, 23.7, 23.4
It can be seen that subtracting 0.3 from the first number of the pattern gives [tex]24.3-0.3 = 24\\[/tex]
Equally if we subtract 0.3 successively we obtain:
[tex]24-0.3 = 23.7\\\\23.7-0.3 = 23.4\\\\23.4-0.3 = 23.1\\\\23.1-0.3 = 22.8\\[/tex]
Thus, 0.3 must be subtracted from each term and the following numbers of the pattern shall be 23.1 and 22.8
Answer:
subtract 0.3 from each term
The next two numbers of the pattern are 23.1 and 22.8
Question 2:
For this case we have the following operation:
[tex]0.52 + 0.61 = 1.13\\\\1.13> 1\\[/tex]
We note that the sum is greater than 1
The sum of two hundredth decimals does not necessarily have to be greater than 1.
Therefore, the correct option is: the sum is greater than 1 because the sum shades more than one hundredths grid.
Answer:
Option C
Question 3:
For this case we have to:
[tex]a + b + c = 2\\[/tex]
Being a, b, c decimal numbers, one of them was 0.34. Suppose [tex]a = 0.34\\[/tex]
Thus: [tex]0.34 + b + c = 2\\[/tex]
We choose values for b and c, in order to obtain the number 2 as a result of the sum. We can choose infinite values so that equality is fulfilled
If[tex]b = 0.96[/tex] and
[tex]c = 0.7\\[/tex]
we have: [tex]0.34 + 0.96 + 0.7 = 2\\[/tex]
Thus, Holland can add to the sum [tex]b = 0.96[/tex] and [tex]c = 0.7\\[/tex]
Answer:
[tex]b = 0.96\\\\c = 0.7\\[/tex]
Question 4:
For this case we have the following subtraction:
[tex]3.5 - 2.46 = 1.16\\[/tex]
This operation is wrong, subtracting [tex]3.5-2.46[/tex] results in 1.04
Let's explain a model for Maysa:
We have the following expression
[tex]3.5 - 2.46\\[/tex]
Rewriting each number in expanded form we have:
[tex](3 + 0.5) - (2 + 0.46)\\[/tex]
Using the distributive property we have:
[tex](3 + 0.5) -2-0.46\\[/tex]
Using the associative property we have:
[tex](3-2) + (0.5-0.46)\\[/tex]
Performing each operation:
[tex]1 + 0.04 = 1.04\\[/tex]
Anwer:
The subtraction of Maysa is wrong, the correct answer is:
[tex]3.5 - 2.46 = 1.04[/tex]
Answer
Option B. Subtract 0.3 from each term.
Step-by-step explanation:
If you follow the pattern 24.3-24=0.3
similarly 24-23.7=0.3
23.7-23.4=0.3
Conclusion : We will subtract 0.3 every time in order to get the new number.
Simplify the following expression.
9 – 5(–11x + 7)
–44x + 28
**55x + 16
55x – 26
55x + 44
I think it's B.
Solve for the given variable.
The perimeter of a triangle is 26 centimeters. Side a of the triangle is 3 centimeters longer than side b. Side c is 1 centimeter shorter than twice side b. Find the length of each side.
a+b+c=26
a=b+3
c=2b-1
b+3+b+2b-1=26
4b=24
b=6 cm
a=6+3=9cm
c=2*6-1=11 cm
side *a* is 9 cm
side *b* is 6 cm
side *c* is 11 cm
To find the lengths of the sides of the triangle, we set up an equation using the given perimeter and the relationships between the sides. Solving the equation gives us the length of each side.
Explanation:To find the lengths of the sides of the triangle when given the perimeter and relationships between the lengths of the sides, we can use algebra to set up a system of equations. Let's denote side b as x centimeters. According to the problem, side a is 3 centimeters longer than side b, so a can be represented as x + 3 centimeters. Side c is 1 centimeter shorter than twice side b, which gives us c as 2x - 1 centimeters.
The perimeter of the triangle is the sum of its sides, so:
x + (x + 3) + (2x - 1) = 26
Solving this equation gives us x, from which we can determine the lengths of sides a and c as well.
Which expression is equivalent to 64y18 – 1000z6?
(4y6)3 – (10z2)3
(16y6)3 – (10z2)3
(16y6)3 – (100z2)3
(4y6)3 – (100z2)3
Answer:
[tex](4y^6)^3 - (10z^2)^3[/tex]
Step-by-step explanation:
Given: [tex]64y^{18}- 1000z^6[/tex]
Solution:
Option 1) [tex](4y^6)^3 - (10z^2)^3[/tex]
[tex]64y^{18} - 1000z^6[/tex]
So, Option 1 is equivalent to [tex]64y^{18}- 1000z^6[/tex]
Option 2)[tex](16y^6)^3 -(10z^2)^3[/tex]
[tex]4096y^{18} -1000z^6[/tex]
So, Option 2 is not equivalent to [tex]64y^{18}- 1000z^6[/tex]
Option 3)[tex](16y^6)^3 -(100z^2)^3[/tex]
[tex]4096y^{18} -1000000z^6[/tex]
So, Option 3 is not equivalent to [tex]64y^{18}- 1000z^6[/tex]
Option 4)[tex](4y^6)^3 -(100z^2)^3[/tex]
[tex]64y^{18} -1000000z^6[/tex]
So, Option 4 is not equivalent to [tex]64y^{18}- 1000z^6[/tex]
Hence [tex](4y^6)^3 - (10z^2)^3[/tex] is equivalent to [tex]64y^{18}- 1000z^6[/tex]
So, Option A is correct.
Rational number between 1.2 and 1.3 is 1.25 right?
Which table represents a function with a greater rate of change than y = 3x?
the first chart is multiplying by 4
the second chart is multiplying by -3
the third chart is multiplying by 1/2
the fourth chart is dividing by -3
i hope this helps you
it costs $36.75 for 3 tickets to visit the science center. it costs $51 for 4 tickets to visit the zoo. which attraction will cost more money for a group of 12 students to visit? how much more?
Find the cost for one ticket for the science center.
36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153
The Zoo costs more than the Science Center.
To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6
One box holds 16 crayon another holds 24 write a sentence using words that compare crayon in the two boxes
The box containing 24 crayons has more crayons than the box with 16, indicating a greater quantity of colors available for artistic expression.
Compare the quantities of crayons in each box: 24 crayons in one box and 16 in the other. By recognizing the numerical difference, infer that the box with 24 crayons has more than the one with 16. The use of the phrase "more crayons" in the sentence reflects this numerical comparison, providing a concise and accurate description of the quantity disparity between the two boxes.
This interpretation aligns with the fundamental understanding that a larger numerical value signifies a greater quantity, facilitating a clear and straightforward expression of the comparison between the two sets of crayons.
3s squared + 2 = -62
[tex]3s^2+2=-62\ \ \ \ |-2\\\\3s^2=-64\ \ \ \ |:3\\\\s^2=-\dfrac{64}{3} < 0\\\\NO\ REAL\ SOLUTIONS\\\text{the equation has complex solutions}\\\\s^2=-\dfrac{64}{3}\to s=\pm\sqrt{-\dfrac{64}{3}}=\pm\sqrt{\dfrac{64}{3}}\cdot\sqrt{-1}=\pm\dfrac{\sqrt{64}}{\sqrt3}\cdot i=\pm\dfrac{8}{\sqrt3}i\\\\=\pm\dfrac{8\cdot\sqrt3}{\sqrt3\cdot\sqrt3}i=\pm\dfrac{8\sqrt3}{3}i[/tex]
For every 3 days of vacation, Farah packs 4 outfits.Which of the following statements are true?Choose 3 answers:Choose 3 answers:(Choice A)AFarah would pack 6 outfits for an 888-day vacation.(Choice B)B Farah would pack 8 outfits for a 6-day vacation.(Choice C)CFarah would pack 10 outfits for a 9-day vacation.(Choice D)DFarah would pack 16 outfits for a 12-day vacation.(Choice E)Farah would pack 28 outfits for a 21-day vacation
You know that:
Farah packs 4 outfits for 3 days of vacation.
Then Farah packs:
8 outfits for 6 days of vacation (choice B);12 outfits for 9 days of vacation;16 outfits for 12 days of vacation (choice D);20 outfits for 15 days of vacation;24 outfits for 18 days of vacation;28 outfits for 21 days of vacation (choice E).Answer: correct choices are B, D and E.
Answer:
We have been given that for every 3 days of vacation, Farah packs 4 outfits.
That means [tex]\text{one day vacation she packs}\frac{4}{3}outfits.[/tex] (1)
Multiply number of vacation with [tex]\frac{4}{3}[/tex] to get number of outfits.
Choice A is correct according to equation (1)
1.Farah would pack 6 outfits for an 8-day vacation.
Choice B is other way round of A so correct.
2.Farah would pack 8 outfits for a 6-day vacation.
Choice D is correct
3.Farah would pack 16 outfits for a 12-day vacation.
Choice E is also correct.
4.Farah would pack 28 outfits for a 21-day vacation.
During one week, the stock market did the following: Monday rose 18 points, Tuesday rose 31 points, Wednesday dropped 5 points, Thursday rose 27 points and Friday dropped 38 points. If it started out at 1196 on Monday, what did it end up on Friday?
Answer: the answer is easy enough
Ur answer is 1,229
Step-by-step explanation:
Ok it’s simple u start with 1196 then u just need to add add and subtract as so
Monday: 1196+ 18=1,214
Tuesday: 1,214+31=1,245
Wednesday: 1,245-5=1,240
Thursday: 1,240+27=1,267
Friday: 1,267-38=1,229
So therefore it is 1,229
Answer: It ended at 1229 on Friday.
Step-by-step explanation:
Given : During one week, the stock market did the following: Monday rose 18 points, Tuesday rose 31 points, Wednesday dropped 5 points, Thursday rose 27 points and Friday dropped 38 points.
In integers , we use (+) for rise in quantity and (-) for drop in quantity.
If it started out at 1196 on Monday, then
On Friday = 1196 +18 +31-5+27-38 = 1229 [we use (+) for rise in quantity and (-) for drop ]
Hence, it ended at 1229 on Friday.
The price of a train ticket from Columbus to New York is normally $122.00. However, children under the age of 16 receive a 60% discount. Find the sale price for someone under the age of 16.
Answer:
$48.80
Step-by-step explanation:
If they get a 60% discount, then they only pay 40% of the fare.
So what you have to do is take 40% of 122.00 = 40/100 * 122 = 4880/100 = 48.80
So the sale price is 48.80 dollars
The quotient of a number divided by 8 increased by 2 is 12
witch operation flips the graph of a function over the x axis
If we put a negative sign in front of our function, it will flip the function over the x-axis.
Answer:
multiplying the function by -1.
Step-by-step explanation:
What is f(–3) for the function f(a) = –2a2 – 5a + 4?
f(a) = –2a2 – 5a + 4
f(–3)
Replace a with -3:
-2(-3)^2 -5(-3) +4=
-2(9) +15 +4 =
-18 + 19 = 1
What advice would you give to a person having problems in geometry overall.( I understood algebra but gemotery is so much more different and difficult to understand. Should I consider hiring a tutor?
what is p(2) given p(n)=6-2|1 + n|
p = 0 hope this helps
can someone help me with it? click on the photo to see it in full screen
Answer:
Angie will need to save $2.50 for 8 more weeks to get $50
Step-by-step explanation:
Angie has already saved $30
12(2.5)=30
So since she needs $20 more you divide 20 by 2.5 and you get your answer.
20/2.5=8 weeks
Angie has saved $2.50 per week for the past 12 weeks, so she has saved a total of 2.50*12 = $30.00. To reach her goal of $50.00, she needs to save another 50-30 = $20.00. At her current rate of saving, it will take her 20/2.5 = 8 more weeks to reach her goal.
To calculate the total amount of money Angie has saved so far, we simply multiply the amount of money she saves each week by the number of weeks she has been saving.
In this case, Angie saves $2.50 per week and she has been saving for 12 weeks, so she has saved a total of $2.50 per week x 12 weeks = $30.
To calculate the amount of money Angie still needs to save, we simply subtract the amount of money she has saved so far from her goal amount.
In this case, Angie's goal amount is $50 and she has saved $30 so far, so she still needs to save $50 - $30 = $20.
To find out how many more weeks it will take Angie to reach her goal, we simply divide the amount of money she still needs to save by the amount of money she saves each week.
In this case, Angie still needs to save $20 and she saves $2.50 per week, so it will take her $20 / $2.50 per week = 8 weeks to reach her goal.
Therefore, it will take Angie 8 more weeks to save a total of $50.
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Question:-
Angie has saved $2.50 of her allowance every week for the past 12 weeks. If she continues saving the same amount each week, how many more weeks will it take her to save a total $50?