Y is inversely proportional to x. If y= 400 when x =2 find y when x= 200

Answers

Answer 1

Answer:  4

Step-by-step explanation:

Inversely proportional means xy = k, where k is the constant of proportionality

First, find k when x = 2 and y = 400 ----> 2(400) = k   --> 800 = k

Then, find y when x = 200 (knowing that k = 800)

                                    200y = 800

                                           y = 4


Related Questions

How is 0.004 the same as and different from 0.444?

Answers

Answer:both are in thousandths place,in the thousandths place both have 4 as a value

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given  :  0.004 and  0.444.

To find : How is 0.004 the same as and different from 0.444.

Solution : We have given 0.004 and  0.444.

In 0.004

We can see tenth place digit is 0.

Hundredth place digit is 0

Thousandth place digit is 0.

In 0.444.

We can see here tenth place is 4

Hundredth place digit is 4

Thousandth place digit is 4.

We can conclude that 0.444 is greater than 0.004.

Therefore, 0.444 is greater than 0.004.

Please answer this correctly

Answers

Answer:

ok honestly that wus super confusing, but i think its a trick question so the answer is 0

Step-by-step explanation:

What is the value of i20+1?

Answers

Final answer:

The value of i^{20}+1 is 2, which is calculated by recognizing that the powers of i repeat every 4 cycles and that i^20 simplifies to 1.

Explanation:

The value of i^{20}+1 can be determined by understanding the properties of the imaginary unit i, which is defined by i^2 = -1.

The powers of i follow a cyclical pattern: i^0 = 1, i^1 = i, i^2 = -1, i^3 = -i, and i^4 = 1, with this pattern repeating every 4 powers.

To find i^{20}, we observe that 20 is divisible by 4 (20 = 4 × 5), so i^{20} = (i^4)^5 = 1^5 = 1.

Add 1 to this result, and we get i^{20} + 1 = 1 + 1 = 2.

Find m∠1, If m∠2=136°, m∠3=61°, m∠4=119°. give anws wer quickly pls

Answers

Answer: 44

Step-by-step explanation:

I’m assuming that the shape is a quadrilateral, meaning that it has 4 sides. All quadrilaterals need angles to add up to 360.

Choose the mixed number that has not been reduced to simplest form.
4 2/5
7 14/18
5 7/12
5 5/6
PLZ HELP!!!!!!!

Answers

Hey!

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Answer: 7 14/18 has not been reduced to simplest form.

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Solution: 7 14/18 can be simplified to 7 7/9

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Hope This Helped! Good Luck!

which number is greater or equal or less than​

Answers

We need more to answer the question I think

what do I do for 1-117? Help please!​

Answers

Answer:

Step-by-step explanation:

You give characteristics about the polygons. Then you define then. For example, C is a rectangle because it has 4 right angles, it had 4 sides and corners, and it has two sets of parallel lines. For b, you just organise the polygons into the Venn diagram according to each polygons classification.


Circle the odd number.
2
6
10
17

Answers

Answer:

17

Step-by-step explanation:

17 is the odd number because 17 cannot be split into 2 equal groups. However, 2,6, and 10 can be split into 2 even groups. So therefor, they are even numbers.

The answer is 17. 0,2,4,6 are even numbers, since 10 has a zero it’s an even number. 1,3,5,7 are odd numbers, since 17 has a seven its odd.

At King’s Super Market, Clay bought 214 pounds of tomatoes for $13.50. Gabriella bought 112 pounds of tomatoes for $6.75 at the local farmer’s market. Who got the better deal?


At King’s Super Market, Clay bought 214 pounds of tomatoes for $13.50. Gabriella bought 112 pounds of tomatoes for $6.75 at the local farmer’s market. Who got the better deal?




Answers

Gabriella got the better deal, as she paid slightly less per pound for the tomatoes.

To determine who got the better deal, we need to calculate the price per pound of tomatoes for each person.

For Clay:

Price per pound = Total price / Total pounds

Price per pound = $13.50 / 214 pounds ≈ $0.0631 per pound

For Gabriella:

Price per pound = Total price / Total pounds

Price per pound = $6.75 / 112 pounds ≈ $0.0607 per pound

Comparing the two, we see that Gabriella paid approximately $0.0607 per pound, while Clay paid approximately $0.0631 per pound.

The width of a rectangle is 3/4 its length. The perimeter of the rectangle is 420 feet. what is the length, in feet, of the rectangle.

Answers

Answer:

120

Step-by-step explanation:

Length of the rectangle = 120 feet

Given :

The width of a rectangle is 3/4 its length. The perimeter of the rectangle is 420 feet.

Let 'L' be the length of the rectangle

Width of the rectangle is 3/4 of its length

width = [tex]\frac{3}{4} \cdot length[/tex]

Perimeter of rectangle = 2(length ) +2(width )

[tex]P=2L+2W\\P=2L+2(\frac{3}{4}\cdot L) \\P=2L+(\frac{3}{2}t L) \\\\P=\frac{7}{2}L \\[/tex]

Given that perimeter of rectangle is 420 feet

Replace perimeter by 420 feet and solve for L

[tex]420= \frac{7}{2} L\\840=7L\\Divide \; by \; 7\\L=120[/tex]

Length of the rectangle = 120 feet

Width of the rectangle =[tex]\frac{3}{4} \cdot length= \frac{3}{4} \cdot 120=90[/tex]

Width of the rectangle = 90 feet

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Why did the obtuse Angle go to the beach

Answers

It was over 90 degrees

An obtuse angle is any angle larger than 90 degrees and less than 180 degrees. In other words, if the angle formed where two line segments meet goes beyond a right angle, it's obtuse.

Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles. Angles that are 90 degrees (θ = 90°) are right angles. Angles that are 180 degrees (θ = 180°) are known as straight angles.A coat hanger as well as the angle of a roof creates an obtuse angle, because they both contain an obtuse interior angle.

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What is the value of x?
Plssss help me :(

Answers

Answer:I believe it’s 40 degrees

Step-by-step explanation:

70

-30

=

40

The answer is 40 degrees
Hope this helped

Sara bought a dress on sale for $30. She saved 45%. What was the original cost?

I appreciate any help, thank you.

Answers

Final answer:

Sara paid 55% of the original price of the dress when she bought it for $30. By dividing the sale price by 0.55, we calculate that the original price was approximately $54.55.

Explanation:

To answer the question of what the original cost of Sara's dress was before she saved 45% on the sale, we need to set up a simple percentage calculation. Since Sara saved 45%, this means she paid 55% of the original price (100% - 45% = 55%). The sale price of $30 is what represents this 55%.

To find the original price, we can write the equation:
30 = 0.55 × (original price).

Now we divide the sale price by 0.55 to find the original price:
(original price) = $30 / 0.55 = approximately $54.55.

So the original cost of the dress was approximately $54.55 before the sale.

The original price of the dress is approximately '54.55'

Sara bought a dress on sale for $30 and she saved 45% on the dress

Thus the price she paid for the dress is 100%−45%=55%

Now 55% of the original price of the dress is the amount she paid for the dress

Thus let 'P' be the original price of the dress

We can say that,

55% of P = 30

[tex]55*\frac{P}{100}=30\\ 55*P=30*100\\55*P=3000\\P=\frac{3000}{55}\\ P=54.55[/tex]

Thus '54.55' is the required answer

Which of the following is the inverse to the function f(x)= x^2-10

Answers

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solve for "y".

[tex]\bf \stackrel{f(x)}{y}=x^2-10\implies \stackrel{switcheroo}{x=y^2-10}\implies x+10=y^2\implies \sqrt{x+10}=\stackrel{f^{-1}(x)}{y}[/tex]

The sum of two numbers is 61 and the difference is 7. What are the numbers?

Answers

Answer:

ley the different numbers be x&y

x+y=67

x-y=7

2y=54

y=27

substitute for x

x-27=7

x=7+27

x=34

The two unknown numbers 'a' and 'b' are 34 and 27.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let the two numbers be 'a' and 'b'.

Given, The sum of two numbers is 61 which is (a + b) = 61...(i)

Also given the difference is 7 which is (a - b) = 7...(ii)

Adding the equations (i) and (ii) we get,

2a = 68          (+ b and - b cancel out)

a = 34 and hence 34 + b = 61 ⇒ b = 27.

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How would I convert 35 cm/sec to m/min?

Answers

Answer:

21meter

Step-by-step explanation:

because 1 min equal 60min and 1meter equal 100cm

15+9=?(5+3) what number is missing from the expression?

Answers

Answer:

3

15+9=24

24/8=3

What is the value of 5 to the power of 4 over 5 to the power of 6?

1 over 25
1 over 5
5
25

Answers

5^4÷ 5^6=5^-2

1 over 25

Answer:

the answer is 1 over 25

Step-by-step explanation:

i hope this helps

Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The other triangle has a vertical side of 10 and a horizontal side of 30.

Could the hypotenuses of these two triangles lie along the same line?

(A) No, because they are not similar triangles
(B) No, because one is larger than the other
(C) Yes, because they are both right triangles
(D) Yes, because they are similar triangles

Answers

Answer:

Consider two right triangles: 1. ΔABC with vertices A(0,0), B(0,2), C(6,0). Then AB is perpendicular to AC and AB=2 units (vertical leg), AC=6 units (horizontal leg).2. ΔXYZ with vertices X(6,-10), Y(6,0), Z(36,-10). Then XY is perpendicular to XZ and XY=10 units (vrrtical leg), XZ=30 units (horizontal leg).The equation of the line BC is Check whether points Y and Z lie on this line:Y(6,0):  - true;Z(36,-10):  - true.Answer:  the hypotenuses of these two triangles could lie along the same line

an absolute value equation that equals 3 and -3

Answers

Final answer:

The absolute value equation that has solutions of 3 and -3 is |x| = 3. Substituting x = 3 or x = -3 into the equation both result in true statements, confirming they are the correct solutions.

Explanation:

The student is asking about solving an absolute value equation that has solutions of 3 and -3. To tackle this problem, you want to set up an equation where the absolute value is equal to both positive and negative 3. The most straightforward equation that satisfies this condition is |x| = 3. This equation means that the solution, x, can be either 3 or -3 because the absolute value of both numbers is 3. To verify that these are the correct solutions, you can substitute them back into the original equation:

For x = 3: |3| = 3, which simplifies to 3 = 3, confirming the solution.

For x = -3: |-3| = 3, which simplifies to 3 = 3, again confirming the solution.

This absolute value equation is an identity because substituting either solution results in a true statement.

help! i need the answer to this

Answers

Answer:

Yes

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 270°

a point (x, y ) → (y, - x )

Thus

A(1, 1 ) → A'(1, - 1 )

B(1, 4 ) → B'(4, - 1 )

C(3, 4 ) → C'(4, - 3 )

D(6, 1 ) → D'(1, - 6 )

These are the correct coordinates for the diagram A'B'C'D'

A translation (x, y ) → (x + 4, y + 1 )

Add 4 to the x- coordinates and add 1 to the y- coordinates, that is

A'(1, - 1 ) → A''(1 + 4, - 1 + 1 ) → A''(5, 0 )

B'(4, - 1 ) → B''(4 + 4, - 1 + 1 ) → B''(8, 0 )

C'(4, - 3 ) → C''(4 + 4, - 3 + 1 ) → C''(8, - 2 )

D'(1, - 6 ) → D''(1 + 4, - 6 + 1 ) → D''(5, - 5 )

These are the correct coordinates for the diagram A''B''C''D''

Hence the composition of transformations is correct

An art teacher is hosting a summer art
camp. He has a total of $180 to purchase
snacks, drinks, and art supplies. He buys 45
bags of chips at $0.55 each and 45 juice
boxes at $0.80 each. How much money does
he have left to spend on art supplies?​

Answers

Answer:

$119.25

Step-by-step explanation:

$0.55.×45= $24.75

$0.80×45= +$36.00

$180.00- $ 60.75= $119.25

Hope it helps :)

The amount of money he has left to spend on art supplies is $119.25.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that an art teacher is hosting a summer art camp. He has a total of $180 to purchase snacks, drinks, and art supplies. He buys 45 bags of chips at $0.55 each and 45 juice boxes at $0.80 each.

$0.55.×45= $24.75

$0.80×45= +$36.00

$180.00- $ 60.75= $119.25

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You need to count all of the loaves of bread in the front area there are 22 loaves of white bread 17 loaves of wheat bread and 19 Gourmet breads what is the total number of loaves

Answers

Answer:

58 loaves

Step-by-step explanation:

22+17+19= 58

Find the pay per hour if you earned $120.67 for 16 hours worked.

Answers

6.42 is the answer also sub to Stariceie E

Answer:

$7.54 / hour to the nearest cent.

Step-by-step explanation:

This is 120.67 / 16

= $7.54 / hour,

.83 is 10 times as much as

Answers

Answer:

.083

Step-by-step explanation:

just divide by the number it says its times as

in this example divide .83 by 10

Answer:

0.083

Step-by-step explanation:

If you move the decimal once to the right from 0.083 you will get the answer .83

Find two consecutive even integers whose sum is 126. write an equation.

Answers

Answer: Ist integer = 32

2nd integer = 34

Step-by-step explanation: SEE THE ATTACHED

3.4 x 10^4 + 7.1 x 10^5

Answers

Answer:

744,000

Step-by-step explanation:

3.4 * 10 * 10 * 10 * 10 + 7.1 * 10 * 10 * 10 * 10 *10

3.4 * 10000 + 7.1 * 100000

34000 + 710000

What is -3t+4=19 someone please help thank you

Answers

Answer:

t = -5

Step-by-step explanation:

[tex]-3t+4=19\qquad\text{subtract 4 from both sides}\\\\-3t+4-4=19-4\\\\-3t=15\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3t}{-3}=\dfrac{15}{-3}\\\\t=-5[/tex]

Answer:

-5

Step-by-step explanation:

19-4= 15

15/-3 = -5

t = -5

3.249 rounded to nearest tenth

Answers

The number 3.249 rounded to nearest tenth is; 3.2

According to the question;

We are required to round off the number 3.249 to nearest tenth

According to the place value concept in mathematics; the place values after the decimal point in a decimal number are identified from left to right, as tenths, hundredths, thousandths etc.

Evidently, the number which occupies the tenths position in 3.249 is the digit 2.

Consequently, to round the number 3.249 to the nearest tenth; the digit 4 is considered and rounded off to 0 or 1 as the case may be.

Since, 4 is less than 5, it is rounded off to 0 and added to the digit, 2 which occupies the tenths position in the number 3.249

Ultimately, the number 3.249 rounded to nearest tenth is 3.2.

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A scuba diver dives down 20 feet into the ocean. He then swims 11 feet back up towards the surface. What is the position of the scuba diver relative to the surface?

Answers

The diver is 9 feet below sea level (-9)

The position of the diver relative to the surface is -9 feets

Using the parameters given for our Calculation;

downward distance = 20Upward distance= 11

Difference in distance

20 - 11 = 9

Since, we are expressing position relative to the surface , The diver is 9 feets below the surface , which would be expressed as -9 feets.

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