y varies directly as x. if x = 10 when y = 40, find x when y = 200.

Answers

Answer 1

Answer:

x = 50

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition

x = 10 when y = 40, then

40 = 10k ( divide both sides by 4 )

4 = k

y = 4x ← equation of variation

When y = 200, then

200 = 4x ( divide both sides by 4 )

50 = x


Related Questions

plzz helppp
complete a proof in paragraph form for the alternate interior angles
theorem

given p||q
prove: m<3=m<5

Answers

Answer:

i sowwy

Step-by-step explanation:

The diameter of a circle is 9 ft. Find its area to the nearest tenth.

Answers

Step-by-step explanation:

D=9

A=pie*radius^2

=3.14*9/2*9/2

=63.58

=64

Ok so The answer is 14

Which statement is best represented by the inequality d greater-than 11?
Mo worked more than 11 hours this week.
Mo worked 11 more hours than Quinn worked this week.
Mo worked less than 11 hours this week.
Mo worked 11 less hours than Quinn worked this week.

Answers

answer:

mo worked more than 11 hours this week.

Answer:

A

Step-by-step explanation:

Dr. Leo’s new office is 2.8 yards by 4 yards. She plans to run a decorative boarder around the perimeter of the office. How many yards of wallpaper border should she purchase?

Answers

Answer:

13.6 yards

Step-by-step explanation:

The equation for perimeter is P=2L+2W

So P=2(4 yards)+2(2.8 yards)

P=13.6 yards

Or you can write the formula as P=L+L+W+W and get the same answer

The function g(x) is defined as shown.
What is the value of g(0)?

Answers

Plug it into the second one and you should get -1

please help thank you!!!

Answers

Answer:

s = 11.7 ft

Step-by-step explanation:

The bedroom is square, and the area A is equal to 137 ft^2.

Since the area formula for a  square is A = s^2, s = √A.

Here, s = √137 ft, or s = 11.7 ft (to the nearest tenth of a ft)

Is y=3x^2+1 a linear or nonlinear equation?

Answers

Answer:

nonlinear

Step-by-step explanation:

because the axis is located below so its all gucci

Answer:

Nonlinear

Step-by-step explanation:

It's actually a parabola because it has a squared value.

Hope that helps and have a great day!

A digital rain gauge has an outdoor sensor that collects rainfall and transmits data to an indoor display. Assume you produced a graph of all the data collected by the rain gauge over a 24-hour period. a. Would that graph be a discrete graph or a continuous graph? Explain your reasoning. b. b. Describe the general shape of the graph assuming it rained at a rate of 0.1 inch per hour for the entire 24-hour period. c. c. Describe the general shape of the graph assuming it rained 0.1 inch per hour for 6 hours, stopped raining for 6 hours, and then rained 0.2 inch for 12 hours.

Answers

Answer:

a. A continuous graph

b. a straight line graph with a gentle positive slope

c. The graph consists of three straight lines attached end to end, with the first segment being an inclined positively sloped graph, the second segment is an horizontal line while the third segment is a gentle positively sloped straight line

Step-by-step explanation:

a. A continuous graph

Given that the rain gauge is a digital rain gauge, the values transmitted to the indoor display are those collected by the outdoor sensor, we have that the output to the transmitter can be any value within a possible and finite range of values, therefore the graph is continuous

b. Whereby it rained at a constant rate of 0.1 inch per hour over 24-hour period, we have;

i) Whereby the graph is the level of water in the rain gauge over a given period of time, the shape of the graph will be a straight line graph with a gentle positive slope of 0.1 the domain will be from 0 to 24 hours, while the range will be from 0 to 2.4 inches

c) i) Given that i) the rain falls at a constant rate of 0.1 inch per hour for 6 hours, and ii) over the next 6 hours it stops raining, after which iii) it rained 0.2 inch for the next 12 hours, we have;

i) In the first part The graph will be a straight line graph with a gentle positive slope of 0.1, up to the point (6, 0.6)

ii) When the rain stops for 6 hours, from the point (6, 0.6) to the point (12, 0.12) the graph will be an horizontal line

iii) From the point (12, 0.12) to the point (24, 0.24), is represented on the graph by a straight  line with a gentle positive slope of 0.2.

X=−2 x=−1 x=1 6(0.5x−1.5)+2x=−9−(x+6) x = − 2 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) x = − 1 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) x = 1 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) 4(0.5x−2)+3x=−14−(x+6) x = − 2 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) x = − 1 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) x = 1 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) 8(0.5x−3)+4x=−9−(x+6)

Answers

Given:

Three equations are

[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]

[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]

[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]

Three solutions are [tex]x=-2,x=-1,x=1[/tex].

To find:

The solution of each equation from the given solutions.

Solution:

We have,

[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]

Using distributive property, we get

[tex]3x-9+2x=-9-x-6[/tex]

[tex]5x-9=-15-x[/tex]

Isolate variable terms.

[tex]5x+x=-15+9[/tex]

[tex]6x=-6[/tex]

Divide both sides by 6.

[tex]x=-1[/tex]

Similarly,

[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]

[tex]2x-8+3x=-14-x-6[/tex]

[tex]5x-8=-20-x[/tex]

[tex]5x+x=-20+8[/tex]

[tex]6x=-12[/tex]

[tex]x=-2[/tex]

Now,

[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]

[tex]4x-24+4x=-9-x-6[/tex]

[tex]8x-24=-15-x[/tex]

[tex]8x+x=-15+24[/tex]

[tex]9x=9[/tex]

[tex]x=1[/tex]

Therefore, the solutions of given equations [tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex], [tex]4(0.5x-2)+3x=-14-(x+6)[/tex] and [tex]8(0.5x-3)+4x=-9-(x+6)[/tex] are x=-1, x=-2 and x=1 respectively.

Click through the graphs and select the one that best represents someone driving away from their house and having to stop for a stoplight at the corner.

Answers

Answer:

Its the last one

Step-by-step explanation:

I just did it and it was right

The graphs which represents someone driving away from their house and having to stop for a stoplight at the corner is graph (IV)

What is graph?

A graph is a line straight or curved that shows relation between two quantities out of which one varies as a result of change in other.

To make it clear let us consider we have two variables x and y where,

y=2x

The variable that is made to alter or change is called the independent variable. Here in our case x is an independent variable. Another variable that varies as a result of the change in the independent variable is called the dependent variable.

Here  y  is the dependent variable whose value changes with change in the value of  x.

As, from the situation someone driving away from their house then the distance will increase which is shown as the rising line of the graph.

Now,  stop for a stoplight at the corner then to stop the car the speed should be decrease which tends to zero which is shown by the down line in the graph.

Hence, the  graphs which represents someone driving away from their house and having to stop for a stoplight at the corner is graph (IV)

Learn more about graph here:

https://brainly.com/question/17267403

#SPJ2

What is the term for the conversion of a bitmap image to a vector image?

Answers

I think it’s Vectorization

please help me


Claire is decorating a card for her friend. She has a square piece of paper with an area of 36 square inches. She wants to put ribbon around the edges of the paper. Find the amount of ribbon she needs to out around the edges of the paper

24 inches
16 inches
32 inches
40 inches

Answers

Answer:

yes indeed

Step-by-step explanation:

I believe it’s 24 inches or 16 inches

Suppose the size of each cube is doubled and the size of the large box is doubled. How many of these new cubes would fit? Explain how you found your answer.

Answers

5 because it center area in the right place

If is between 4 and 5, then x is _____. greater than 2 and less than 3 greater than 4 and less than 5 greater than 8 and less than 10 greater than 16 and less than 25

Answers

Answer:

between 4 and 5, also 4<5

=>4<x<5

=>greater than 4 and less than 5

Answer:

I think its 6

Step-by-step explanation:

If 4 less than 5 then 6 is Greater than 3.

So 6 is the blank

Hope this helps

Write an expression for the operation described below.
subtract 6 from s

Answers

I think the expression would be 6-s.

Determine if the function shows a linear relationship or an absolute value relationship. Then evaluate the
function for the indicated value of x.
A. f(x) = |x-31-2; x = -5
B. g(x) = 1.5x; x = 0.2
C. p(x) = 17 - 2x]; x = -3

Answers

I think it’s B because it’s negative

Find the value of x.

Answers

Answer: 12.65

Step-by-step explanation:

Ive never solved a problem like this, but this is how I would solve it. You first want to find the height of the triangle by using the Pythagorean theorem. Solve for the height by using the left triangle.

[tex](4\sqrt{2} )^2=4^2+b^2\\32=16+b^2\\16=b^2\\b=4[/tex]

b is the height, the dotted line, of both triangles. Now do the Pythagorean theorem on the right triangle to find the value of x

[tex]12^2+4^2=x^2\\144+16=x^2\\160=x^2\\x=\sqrt{160} \\x=12.649=12.65[/tex]

what is addition property

Answers

Answer:

When we add two or more whole numbers, their sum is the same regardless of the order of the addends. The sum of both 2 + 4 and 4 + 2 is 6. That means, we can add whole numbers in any order. When three or more numbers are added, the sum is the same regardless of the grouping of the addends.

Step-by-step explanation:

there

There are four mathematical properties which involve addition. The properties are the commutative, associative, identity and distributive properties.

Commutative Property: When two numbers are added, the sum is the same regardless of the order of the addends.

For example 4 + 2 = 2 + 4

To remember the commutative property, it might be helpful to think about the word commute which means to switch places between home and work (or home and school). In the example above, you can see the 4 and the 2 commuting or switching places.

Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends.

For example (2 + 3) + 4 = 2 + (3 + 4)

To remember the associative property, it might be helpful to think about the word associate, which as a verb means to interact with a group (maybe you associate with a certain group of friends!). The parentheses are grouping operators, that is, they form groups of numbers and operations. You can see in the example above, the 3 can associate with either the 2 or the 4, but the value of each side is still a total of 9.

Identity Property: The sum of any number and zero is the original number.

For example 5 + 0 = 5.

To remember the identity property, it might be helpful to think of it as a question and answer: What number can I add so that the value is not changed? Zero. In the example above, the 5 gets to keep its identity because adding zero does not change its value.

Distributive Property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.

For example 4 * (6 + 3) = 4*6 + 4*3

The distributive property is the only property that combines multiplication and addition. That makes it very important!

6. Find the slope between:
(4, -3) and (8, -3)

Answers

Answer:

0

Step-by-step explanation:

-0.75 And -0.375

To Find the slope Divide the y by x.

help plz ive been stuck on this for a while now

Answers

Answer:1.20/5

Step-by-step explanation:

Answer:

9/10 or in decimal form 0.9

Step-by-step explanation:

Which of the following is the correct equation for this function?

Answers

Answer:it’s D

Step-by-step explanation: put the equation into standard form and plugged it into my graphing calculator.

What is the awnser??????? I need help!!!!!!

Answers

Answer:

upside down so i might be wrong but the ratio is 3/2

Step-by-step explanation:

3:2 milk to ice cream

other ratios would be

6:4 9:6 12:4 15:5

(the question is slightly confusing but I think this is what they are asking for. )

b) Simplify 2-(3-a) = -4

Answers

Answer:

-1+a

Step-by-step explanation:

2-(3-a) = (2-3-(-a)) = -1+a  

Answer:

a=-3

Step-by-step explanation:

First off subtract 2 from both sides:

-(3-a)=-6

Then distribute the negative:

-3+a=-6

Finally add 3 to both sides:

a=-3

tadah!!

Hope that helps.

What is the value of x in the following equation? 5(x + 3) = 30x

Answers

Answer:

x= 3/5

Step-by-step explanation:

5(x+3)=30x

5x+15=30x

-5x -5x

15=25x

x= 3/5

Answer:

3/5

Step-by-step explanation:

5(x+3)= 30x                        [

or,

    (5×x)+(5×3)= 30x          

or,

    5x+15= 30x                  

or,

     5x+15-5x= 30x-5x          [The result or root of the equation remains same                                                                    .                                               if we multiply, divide, add or subtract any                                                                               .                                               number from each side of the equation]

or,

     15= 25x

or,

    15/25= x

or,

    3/5= x

So, the value of x is 3/5

What are two different ways of saying "find the
solution"?

Answers

Answer:

find the difference.   find the sum

Step-by-step explanation:

help would be greatly appreciated!!!​

Answers

Answer:

m of 2=36

Step-by-step explanation:

You see that square box at the bottom of the angle? That means that both angles are equal to 90 degrees. so if you have the measure of 1 which is 54 you can set up a simple equation and solve it

90=54 + x    which would equal 36

hope this helps :)

Solve the following system algebraically. Show all of your work. (5 points)

y = x + 3
3x + y = 19

Answers

Y=7 and x=4. Could I have brainliest?

Answer:x=4 and y=7

Step-by-step explanation:

can someone please help me out?? :(( i have been stuck on this for 20 mins. i SUCK at math

Answers

Answer: Is it 24

Step-by-step explanation:

You have to make 1/6 and 3/8 have the same common denominator so in order to do that u have to make each denominator 48 since that’s the LCD. You then have to multiply by each number whatever it needs to get 48 on the bottom.

1/6 x 8 =8/48
3/8 x 6 =18/48

What operation is happening in an additive pattern??

Multiplication
Subtraction
Addition
Division ​

Answers

Addition



Reason: because

Select the statement that describes this expression: 8 + fraction 1 over 2 x (6 − 2) − 1. (2 points) 8 more than half the difference of 2 and 1, and then subtract 6 Add 8 to half the difference of 6 and 2, then subtract 1 The sum of 8 and fraction 1 over 2 times 6 plus 2 minus 1 1 less than half of 6 plus the sum of 8 and 2

Answers

Answer:

Add 8 to half the difference of 6 and 2, then subtract 1

Step-by-step explanation:

8 + fraction 1 over 2 x (6 − 2) − 1.

The above is expressed mathematically as:

8 + 1/2(6 - 2) - 1

Therefore, the statement that describes this expression from the options given correctly is :

Add 8 to half the difference of 6 and 2, then subtract 1

Answer:

Add 8 to half the difference of 6 and 2, then subtract 1

Step-by-step explanation:

8 + fraction 1 over 2 x (6 − 2) − 1.

The above is expressed mathematically as:

8 + 1/2(6 - 2) - 1

Therefore, the statement that describes this expression from the options given correctly is :

Add 8 to half the difference of 6 and 2, then subtract 1

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