if y= 1/5 when x=3, find y when x=4, given that y varies directly with x

Answers

Answer 1

Answer:

[tex]y = \frac{4}{15} [/tex]

Step-by-step explanation:

To find y when x=4, we must first find the relationship between them

The statement

y varies directly with x is written as

[tex]y \: \: \: \alpha \: \: \: kx[/tex]

where k is the constant of proportionality

From the question

when y = 1/5

x = 3

Substitute the values into the above formula and solve

That's

[tex] \frac{1}{5} = 3k \\ 15k = 1 \\ k = \frac{1}{15} [/tex]

So the formula for the variation is

[tex]y = \frac{x}{15} [/tex]

From the question

when x = 4

[tex]y = \frac{4}{15} [/tex]

Hope this helps you


Related Questions

Classify the Number: 120
whole
Whole, counting
Counting, whole, integers rational, real
Irrational, real

Answers

Answer:

counting, whole, integers, rational, real

Step-by-step explanation:

Counting numbers are any number above 0, and all the other groups will also fall into place if a number is a coutning number. Since 120 is a counting number, it falls into all the other groups above it too.

A Skier descended down a mountain at a rate of 14 feet per second.what was his total change in elevation after 8 seconds?

Answers

Answer:

1.75ft/s²

Step-by-step explanation:

The total change in elevation of the skier is its acceleration. Acceleration is the change in velocity of a body with respect to time.

Acceleration = Velocity/Time

Given velocity of the skier = 14feet/sec

Time taken = 8secs

Acceleration of the skier = 14/8

Acceleration of the skier = 1.75ft/s²

Hence the total change in elevation after 8 seconds is 1.75ft/s²

Solve for x in the diagram below

Answers

Answer:

x = 12°

Step-by-step explanation:

First of all the angles lie on a right angle which means that they are complementary.

Complementary angles are angles that add up to 90°

To find x add up all the angles and equate it to 90° and solve for x

We have

x + 42 + 3x = 90

4x + 42 = 90

Subtract 42 from both sides

4x + 42 - 42 = 90 - 42

4x = 48

Divide both sides by 4

That's

[tex] \frac{4x}{4} = \frac{48}{4} [/tex]

We have the final answer as

x = 12°

Hope this helps you

find the number shows 5 by 7 is 125​

Answers

Answer:

answer is 175

Step-by-step explanation:

Let the number be x,

x*5/7=125

multiply 125 by 7 because if divide is there when it will go to another side it will be multiply so,

x*5=125*7

or,x*5=875

now you should do divide by 5 because multiply will be divide when it will go to another side

x=875/5

x=175

Hope it is helpful for you

if it is mark me brainest and follow me

Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of snow in a brick-like pattern. She has a maximum height for this wall in mind, and she wants to figure out how many blocks can be stacked vertically in her wall while remaining below this maximum. So, she constructs the expression 0.4x + 0.6 to measure the height of her wall, where all constants represent measurements in meters. Which of the following statements are true? Select all that apply. 0.4 represents the height of the wall. 0.4 represents the height of the base. 0.4 represents the height of each block. 0.6 represents the height of the wall. 0.6 represents the height of the base. 0.6 represents the height of each block.

Answers

Answer:

The correct options are;

0.4 represents the height of each block

0.6 represents the height of the base

Step-by-step explanation:

The given information are;

The activity Kirima is engaged in = Building a wall

The process by which she is building the wall includes

1) Construction of a base on the floor

2) Piling blocks of uniform height to form the wall

3) Estimating the height of the wall she is constructing with the expression 0.4·x + 0.6 where the constants which are 0.4 and 0.6 are in meters;

From her procedure, we have the constants, which are the values that do not change as follows;

1) The firm base

2) The uniformly sized blocks

Of the two constants, the one that consists of multiple items is the uniform sized blocks as they are laid in brick pattern

There is only one firm base

Therefore, the constant that has a variable is the uniform sized blocks

Which gives in the expression 0.4·x + 0.6, we have;

0.4 = The dimension of the uniform sized blocks

∴ 0.6 = The dimension of the firm base.

Question 6 of 10
It takes a person 35 seconds to swim in a straight line from the east end of a
pool to the west end of the pool, a distance of 50 meters. What is the
swimmer's velocity?
A. 1.4 m/s west
B. 1.4 m/s east
C. 0.7 m/s west
D. 0.7 m/s east

Answers

Answer:

Swimmer's velocity = 1.4 m/s west (Approx)

Step-by-step explanation:

Given:

Total time taken = 35 seconds

Total displacement to west = 50 meter

Find:

Swimmer's velocity

Computation:

Swimmer's velocity = Total displacement to west / Total time taken

Swimmer's velocity = 50 / 35

Swimmer's velocity = 1.428

Swimmer's velocity = 1.4 m/s west (Approx)

Answer:

approximately 1.4 m/s west

yeeeeeeeeeeet

A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is How many Starburst are in the bucket?

Answers

Complete question:

A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is 1/6.How many Starburst are in the bucket?

Answer:

18

Step-by-step explanation:

Give the following :

Number of jolly ranchers = 24

Number of Hershey kisses = 18

Number of smarties = 12

Number of Starburst = s

Probability of pulling out a smarties ; P(smarties) = 1/6

Probability = required outcomes / total possible outcomes

Required outcome = 12

Total possible outcomes = (24 + 18 + 12 + s) = 54 + s

P(smarties) = 12 / (54 + s)

1/6 = 12 / 54 + s

1 × (54 + s) = 12 × 6

54 + s = 72

s = 72 - 54

s = 18

Hence number of smarties = 18

I just need number 15 pls it is due in 3 hours

Worth 15 points

Answers

Answer:

Step-by-step explanation:

Don't know. Maybe you add up the two numbers then divide the answer.

Answer:

He is wrong in his approach, because the triangle is a 3,4,5, triangle and he should have put √5^2-4^2

Step-by-step explanation:

(9x-2)+(2x-8) I forgot how to do this

Answers

Answer:

Hey there!

9x-2+2x-8

11x-2-8

11x-10

Let me know if this helps :)

Answer:

11x - 10

Step-by-step explanation:

because there is a plus sign between the brackets, we just assume there are no brackets at all........so it will be:

9x - 2 + 2x - 8,,,,,,,,,bring the like terms together

9x + 2x - 2 - 8 = 11x -10.

the answer has a minus sign because when working out two negative numbers, we add them but still maintain the negative sign.

NOTE: If the sign between the brackets was a minus , the sign in the second expression would have changed from -8 to +8

What is the equation of the line that passes through the point (8,3) and has a slope
of 1/4?

Answers

y=1/4x+1. hope this helped :)

A computer has $245 and his commuter savings account. This account changes by -$15 each week he buys a ticket. In one time period The account changes by -$240. For how many weeks did the computer buy tickets?

Answers

Answer:

16 weeks

Step-by-step explanation:

Change per week = - $15

Total change = - $240

Number of weeks:

-240/ -15 = 16

what is the value of x in 3x+7y=27

Answers

Answer:

[tex]x = \frac{-7y}{3} +9[/tex]

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other side. Do the opposite of PEMDAS. Isolate the variable, x.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 7y from both sides:

3x + 7y (-7y) = 27 (-7y)

3x = -7y + 27

Next, divide 3 from all terms on both sides:

(3x)/3 =  (-7y + 27)/3

x = (-7y/3) + 9

[tex]x = \frac{-7y}{3} +9[/tex]

Which of the following is an irrational number

Answers

Answer: D is the answer

Step-by-step explanation: Because a irrational number is a number that is non-reapting and non-terminating and it cannot be written as a ratio  or a fraction

Hope this helps...

1. What is a sequence?
2. What is each number in a sequence called?
3. What do patterns do?
4. What is an arithmetic sequence?

Answers

Answer:

1. A particular order in which related events, movements, or things follow each other.

2. A term

3. Patterns offer visual clues to an underlying order. Patterns can also be used as a template that will enable one to quickly analyze a situation and understand how it works.

4. Sequence of numbers such that the difference between the consecutive terms is constant.

- 3x = 18 answer = m = - 6 answer = 3 4 + y = 0 answer = 2x = - 6 answer = h=2 answer = 5 d = 1 answer = - 8 6 + x = 2 answer = - 7y = 21 answer = - 9w = 0 answer =

Answers

Answer:

this doesnt make sense sorry

Step-by-step explanation:

im trying to help

f(x) = 2x + 4 g(x) = x – 7 h(x) = 9 – x Find f(g(x))=

Answers

Answer:   [tex]2x^{2} - 10x -28[/tex]

Step-by-step explanation:

We know that f(x) = 2x +4     and g(x) = x -7    so to find f(g(x)) multiply them.

(2x + 4)(x-7)      Apply the distributive property twice

2x(x-7)

2x^2 - 14x  

4(x-7)  = 4x - 28  

2x^2 - 14x + 4x -28

2x^2 -10x - 28

Please show all work and not just the answers.

Answers

Answer:

The angle of PML is 68°.

Step-by-step explanation:

Given that total angles in a straight line is 180° so we can assume that ∠LMN is 180°. In order to find ∠PML, we have to subtract :

[tex]∠PML+∠ PMO + ∠OMN = 180[/tex]

[tex]∠PML + 90 + 22 = 180[/tex]

[tex]∠PML + 112 = 180[/tex]

[tex]∠PML = 180 - 112[/tex]

[tex]∠PML = 68[/tex]

A cereal manufacturer has a tolerance of .75
oz for a box of cereal that is supposed to weigh
20 oz. Write and solve an absolute value
inequality that describes the acceptable weights
for a 20 oz box.

Answers

let the absolute weight of the box of cereal be X

20-0.75 ≤ x ≤ 20+0.75

19.25 ≤ x ≤ 20.75

During harvesting season at Florida Blue Farms, hand pickers
collect about 200 pounds of blueberries per day with a 95%
pack-out rate. The blueberry harvester machine collects about
22,000 pounds of blueberries per day with a 90% pack-out rate.
The pack-out rate is the percentage of collected blueberries
that can be packaged to be sold, based on Florida Blue Farms'
quality standards.
Let h represent the number of days the hand pickers work and
m represent the number of days the harvester machine is used.
Which of the following algebraic expressions can be used to
estimate the amount of collected blueberries that are packed at
the Florida Blue Farms for fresh consumption this season?


A (0.95h+200)(0.90+22000)

B 0.95(200h)+0.90(22000m)

C 200.95h+22000.90m

D (200h+0.95)(22000m+0.90)

Answers

Step-by-step explanation:

its b..........

Bbbbb

The farm uses two harvesting tools for packages that needs to be sold. So, we have to consider the rates of both harvest tools and the number of harvest by both tools. The algebraic expression is: [tex]0.95(200h) + 0.90(22000m)[/tex]

Given that

[tex]h \to[/tex] days of hand pickers word

[tex]m \to[/tex] days harvester machine is used

[tex]n_h = 200[/tex] --- pounds of hand pickers

[tex]n_m = 22000[/tex] -- pounds of harvester

[tex]r_h = 95\%[/tex] -- pack out rate of hand pickers

[tex]r_m = 90\%[/tex] -- pack out rate of harvester

The expression to estimate the amount is calculated as:

[tex]Amount = r_h \times n_h + r_m \times n_m[/tex] --- i.e. pounds of hand picker * its pack out rate + pounds of harvester * its pack out rate

So, we have:

[tex]Amount = 95\% \times 200h + 90\% \times 22000m[/tex]

Express as decimal

[tex]Amount = 0.95 \times 200h + 0.90 \times 22000m[/tex]

Rewrite as:

[tex]Amount = 0.95(200h) + 0.90(22000m)[/tex]

Hence, option (b) is correct.

Read more about algebraic expression at:

https://brainly.com/question/953809

The amount of water in a bottle is reduced by 15% to 119 milliliters. How much water was originally in the bottle? ________ ml

Answers

Answer: 140 ml

Explanation:

let x be the original amount of water

x - 15% = 119
But x = 100% because it’s the original
=> 100% - 15% = 119ml
85% = 119ml

Find the amount of water in 15%:
85% = 119
15% = y

=> 85/15 = 119/y

Cross multiply:
85y = 15 x 119
85y = 1785
y = 1785/85
y = 21

But y = 15% therefore, 15% = 21ml

Back to our equation:
x - 15% = 119ml
x - 21ml = 119ml
x = (119 + 21)ml
x = 140ml

Therefore, the original amount of water is 140ml

which is a valid proportion?

Answers

Answer:

3/4=21/28

Step-by-step explanation:

21/28÷7/7=3/4

Answer 3/4 and 21/28

Write an expression to determine the length of the room in units of 3 feet.

Answers

Answer:

1/3L

Step-by-step explanation:

The question with some background info added:

When measuring the dimensions of a room a carpenter uses a tape measure that only displays a number of feet, L, on the metal tape. (The carpenter's tape measure does not display inches) Write an expression to determine the length of the room in units of 3 feet. Solution

Let the length of the room be L feet measured by the carpenter

Then

L/3 = 1/3L would be measure of the length in units of 3 feet

What do you think is a real number?

Answers

Answer:

Real numbers consist of zero (0), the positive and negative integers (-3, -1, 2, 4), and all the fractional and decimal values in between (0.4, 3.1415927, 1/2). Real numbers are divided into rational and irrational numbers.

Step-by-step explanation:

Let $A=(0,1),$ $B=(2,5),$ $C=(5,2),$ and $D=(7,0).$ A figure is created by connecting $A$ to $B,$ $B$ to $C,$ $C$ to $D,$ and $D$ to $A.$ The perimeter of $ABCD$ can be expressed in the form $a\sqrt2+b\sqrt{5}$ with $a$ and $b$ integers. What is the sum of $a$ and $b$?

Answers

Answer:

12

Step-by-step explanation:

thet u go!!!!

Please help due in a few minutes……:(

Answers

Answer:

b and d

Step-by-step explanation:

translation is just a fancy word for moved around so pick all of the letters that are the same shape and the same degree of rotation but in a different spot which is b and d

Measuring Segments ​

Answers

To find the measure or size of a segment, you simply measure its length. After all, length is the only feature a segment has. You've got your short, your medium, and your long segments.

HELP One-third (x minus 2) = one-fifth (x + 4) + 2

Answers

2x=52 52/2=26
Your answer would be x=26

Plzzzzzzzzzzz answer this y^2+4x=0 2x+y=4

Answers

y^2 + 4x = 0
y=4 - 2x

then substitute the given value of y into the equation y^2 + 4x = 0

(4 - 2x) ^2 +4x = 0

then solve for x

but there are no real values so your answer is x∉ R

A baby weighs 115 ounces. What is the baby's weight in pounds and ounces? *Plz explain your answer*

Answers

Answer:

7 pounds 3 ounces

Step-by-step explanation:

There are 16 ounces in a pound. In order to convert ounces to pounds, we need to see how many 16s fit into 115 (how many full pounds can be made with 115 ounces) and add the remainder as ounces. To do this we can do long division (which gives us 7 remainder 3), or we can divide 115 by 16 (=7.1875) and convert the decimal places to ounces by multiplying 0.1875 pounds (the remainder) by 16 (as there are 16 ounces in pound) which gives us 3 ounces.

So 115 ounces is equal to 7 pounds and 3 ounces.

Hope this helped!

The baby's weight is 7 pounds and 3 ounces.

To convert ounces to pounds, we need to divide the number of ounces by the conversion factor, which is 16. There are 16 ounces in 1 pound.

Let's denote the baby's weight in ounces as W oz, the weight in pounds as W lb, and the remaining ounces as Roz.

W oz = 115 ounces

W lb = ?

R oz = ?

First, we divide the total number of ounces by 16 to find the number of pounds:

W lb = W oz / 16

= 115/ 16

= 7.1875 pounds

So, the baby weighs 7 pounds.

To determine the remaining ounces, we multiply the decimal portion of the pounds (0.1875) by 16:

R oz = 0.1875 x 6

R oz= 3 ounce

So, the baby weighs an additional 3 ounces.

Therefore, the baby's weight is 7 pounds and 3 ounces.

Learn more about Unit Conversion here:

brainly.com/question/28600662

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Solve 17-21
Pleaseeee

Answers

Answer:

17) sometimes

18) sometimes

19) sometimes

20) sometimes

21)what is it asking

Step-by-step explanation:

17) in terms of the square that's correct but in terms of a rectangle it's not

18) the the angles could be 30, 60, 92, 178.. the four angles have to add up to 360 but they could be 150 for example 30, 30, 150, 150,

19) in in terms of a rectangle, kite etc it's correct. but for a kite or a trapezoid it's not

20) in in terms of a kite yes but in terms of a square no.

21)??

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