1. If y varies directly as x, and y=8 when x=4. Find y when x=10, the constant of variation and the equation of variation.

2. If y varies directly as x, and y= 0.9 when x= 0.3. Find y when x= 1.5, the constant of variation and the equation of variation.

3. If y varies inversely as, and y= 10 when x=1/2. Find x when y= 3, the constant of variation and the equation of variation.

4. If v varies jointly as w and u, and v=14 when w=7 and u=13. Find v when w=3/4 and u=6, the constant of variation and the equation of variation.

5. If m varies directly as n and inversely as p and m=9 when n=2 and p=1/3. Find m when n=1/2 and =1/3, the constant of variation and the equation of variation.​

Answers

Answer 1

1. This is a ratio question in disguise.

By parts of the question: "When y varies directly with x" -> y/x

"if y=8 when x=4" -> y/x = 8/4

"how do you find y when x=5" -> y/x = 8/4 = y/5

so  -y  = 8x5/4 = 10

That's all i got..


Related Questions

the ps/ms soccor team purchased uniforms and equipment for a total cost of 692. the equiptment cost 422 and the uniforms cost 30 each. how many unifroms were ordered

Answers

Answer:

The answer is 9 uniforms.

Step-by-step explanation:

You can set up the equation like this

Total Cost = Total Cost of Equipment + Total Cost of Uniforms

So the equation would be:

692 = 422 + 30 * (# of Uniforms)

So minus both sides by 422 and you get

692-422 = 30 * (# of Uniforms)

270 = 30 * (# of Uniforms)

Then divide both sides by 30 and you get

9 = # of Uniforms

So therefore, the answer is 9 Uniforms

Which expression is equivalent to -16 - 7?

A. -16 + 7
B. -16 + (-7)
C. 16 + (-7)
D. 16 + 7

Answers

Step-by-step explanation:

B. -16 + (-7) ...this is the same as -16-7

what would be the linear equation for (0,2) and (4,-4)

Answers

Answer:your mom

Step-by-step explanation:

srry had to do it

Can someone also help me with this one? Thank you very much!

Answers

Answer:

10950 feet

Step-by-step explanation:

1 mile is 5280 feet

5280*2=10560

10560+390=10950

:)

Answer:

Your answer would be 10950!

Step-by-step explanation:

There are 5280 Feet in a mile.  It says that there are 2 MILES and 390 FEET.  We Multiply 2 by 5280 to get 10560 feet.Lastly, we add 10560 and 390 to get 10950

2 1/3 divided by 1 1/5 what is the answer as a fraction or mixed number in simplest form?

Answers

Answer:

1.9444444 is the answer or 35/18

Step-by-step explanation:

Answer:

10/3 or 3 (1/3)

Step-by-step explanation:

I used a calculator sorry i don't know how to explain it

There is no options, just a box to type in your answer. PLEASE HELP!!!! 50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!!!!!!!!

Answers

Answer:

16.4 TRUST ME

Step-by-step explanation:

Mark as brainliest

add (7x^2-3 x)+(5x-6)

Answers

Answer:

Step-by-step explanation:

(

4

x

)<(

15

5(5x−2)−3(7x−3)

)

(

4

x

)<(

15

25x−10−21x+9

)

(

4

x

)<(

15

4x−1

)

15x<16x−4

4<x

∴x∈(4,∞)

Can someone please give me the (Answers) to this? ... please ...

Answers

The first answer is 22 , but I’m not sure about the rest

H.E.L.P 100 POINTS!!! Match the addition and subtraction problems to their solutions: (See the picture)

Answers

Here you go,Please give Points.

According to legend, in 1589 the Italian scientist Galileo

Galilei dropped two rocks of different weights from the top of the Leaning Tower

of Pisa. He wanted to show that the rocks would hit the ground at the same time.

Given that the tower's height is about 177 feet, how long would it have taken for

the rocks to hit the ground?

1

To solve this problem solve the equation

O= 16t² + 177 Round to the hundrettes place,

Don't forget

to label your

answer

Answers

From the information given, the time taken for the rock to hit the ground will be 3.326 seconds.

From the information given, the formula for the height is given as:

h(t) = -16t² + v + h0

where,

h0 = 177

h(t) = 0

We'll put the values back into the formula. This will be:

h(t) = 16t² + v + h0

0 = -16t² + 177

16t² = 177

t² = 177/16

t = 3.326

Therefore, the time taken will be 3.326 seconds.

Learn more about time on:

https://brainly.com/question/2147281

What is the equation of the line in slope-intercept form?

Line on a coordinate plane. The line runs through points begin ordered pair negative 5 comma 0 end ordered pair and begin ordered pair 0 comma 3 end ordered pair.

Enter your answer in the boxes.

y =
x +

Answers

Step-by-step explanation:

Use the slope formula

Taking two points on the line:

(0,3) and (-5,0)

3-0/0+5

You will get: 3/5 as your slope

The y-intercept is (0,3)

Therefore:

y = 3/5x + 3

Please help, I don’t understand this and I did this from a while ago but I’m still confused on how to do it now.

Answers

Answer:

A.) -3p +8

b.) (10/p) -3

3.)

a.) -3(5)+8= -7

b.) (10/5)-3= -1

Step-by-step explanation:

For A and B you just have to read it over and over until you understand what is happening. A tip is when it says "fewer than" then that number usually goes after the second part of the statement.

For 3 it is asking you to plug 5 in for the value of p and solve.

Hope this helps:) Have a good day!

i need help with this i dont know how to do it...

Answers

∠C & 40° are vertically opposite angles. Vertically opp. angles have equal measures. So,

[tex]\mathfrak{Angle \: of \: C = \boxed{40^{\circ}}}[/tex]

[tex]\mathbb{MIREU} [/tex]

HELP PLEASE! Which function had the higher average rate of change between the beginning of January and the middle of March? What does this mean about the temperature in the two cities?

Answers

Answer:

Minneapolis

Step-by-step explanation:

someone please help me i swear i'll give brainliest

Answers

I think this is right.

5+6b+3d how many terms are in the expression

Answers

Answer:

3

Step-by-step explanation:

5 is a term 6b is a term 3d is a term

This assignment is already late cause I’m terrible with time management but please help

Answers

45°

B

the sum of the angles of triangles is 180°

60°+75°+x=180°

135°+x=180°

135°-135°+x=180°-135°

x°=45

B

make me brainiest

To solve this question, we have to know some rules

-All tringles' angles must add up to 180 digress

-If the triangles angles do not add up to 180 then the triangles are not a triangle (Just a little reminder if you get asked on it)

Now the steps are easy.

Since you know that all triangles' angles must add up to 180 the formula to find one missing angle is

(Angle number one) + (Angles number two) - 180

If we apply it to the triangle here, it would be

180-(60+75)

Let's solve it slowly

P.E.M.D.A.S

60+75 is 135

180-135=45

Therefore, the answer is 45 or B

I hope this helped if it's wrong pls blame me

ps.Brianlist would really help

How would I simplify radical expressions?

Answers

[tex]\sqrt{36x^8y^4}\\\\=\left(6^2 x^8 y^4\right)^{\tfrac 12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12} \right]\\\\=\left(6^2\right)^{\tfrac 12} \cdot \left(x^8\right)^{\tfrac 12} \cdot \left(y^4\right)^{\tfrac 12}\\\\=6^{\tfrac 22} \cdot x^{\tfrac 82} \cdot y^{\tfrac 42}\\\\=6 x^4 y^2[/tex]


Factor each polynomial completely.
b) 5x6 - 25x5 + 30x4
+

Answers

Answer:

10x+5

Step-by-step explanation:

You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.

Answer:

5[tex]x^{4}[/tex] (x - 3)(x - 2)

Step-by-step explanation:

5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] ← factor out 5[tex]x^{4}[/tex] from each term

= 5[tex]x^{4}[/tex] (x² - 5x + 6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (- 5)

The factors are - 3 and - 2 , then

x² - 5x + 6 = (x - 3)(x - 2)

Then

5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] = 5[tex]x^{4}[/tex] (x - 3)(x - 2) ← in factored form

For which value of x does each expression make sense

Answers

[tex]\text{If you want the domain of this function then it is}~x\leq 0 ~ \text{or} ~ (-\infty ,0][/tex]

Plssssss help! I'm timed

Which represents a quadratic function?
A: f(x) = 2x3 + 2x2 – 4
B: f(x) = –7x2 – x + 2
C: f(x) = –3x + 2
D: f(x) = 0x2 + 3x – 3

Answers

Answer:

B: f(x) = –7x2 – x + 2

Step-by-step explanation:

The biggest exponent in a quadratic function is a 2.

A. Is NOT the answer because it has an exponent of 3 (that's a cubic not a quadratic)

C. Is NOT the answer because it is linear, if you graph it, it's a line. The highest exponent is 1.

D. Is NOT the answer, because even though it shows a power of 2, the coefficient (the number next to it) is a zero, so that term would fall out of the equation and it would be linear like C.

So B: f(x) = –7x2 – x + 2 is your answer. Its highest exponent is two and if you graph it, it would make a parabola.

A boat can travel 120 kilometers on 60 liters of gas. How far can it travel on 197 liters

Answers

Answer:

394 km

Step-by-step explanation:

197 is 197/60 times as much as 60

so the distance is also that much more: 120 km * 197/60 = 394

Please help me with this math problem!! NO LINKS PLEASE!! IT'S DUE TONGIHT AT 11:59PM!! :)

Answers

Answer:

∆L = 51°

∆Y = 28°

∆B = 101°

∆U = 51°

UG = 10.66666

BG = 4x

Need help fast on hs geometry please

Answers

Here, the two angles are equal.So, it is an isosceles triangle.So, the two opposite sides to the equal angles will be equal.Therefore, XY = YZ

[tex]\begin{gathered}15 = 4x + 3 \\ = > 4x = 15 - 3 \\ = > 4x = 12 \\ = > x = 3\end{gathered}

15=4x+3

=>4x=15−3

=>4x=12

=>x=3[/tex]

Therefore, YZ = 4x + 3 = 4(3) + 3 = 12 + 3 = 15

Answers:

3, 15

Hope you could get an idea from here.

Doubt clarification - use comment section.

Ajay is going to invest his money into 2 different stocks. Both stocks are independent, and each stock has a 50%
chance of being successful and a 50% chance of failing.
Each stock will make Ajay $500 if it succeeds or lose him $500 if it fails.
If X is a random variable that represents Ajay's profit from investing in these 2 stocks, drag the bars to graph
the probability distribution for all possible values of X.

Answers

The bar graph represents the value of Profit (X) for the different probabilities of stocks x and y.

It can be drawn as follows.

Let x and y denote the two stocks .

The probability of success of x is p=50%= 50/100=1/2 = 0.5

The probability of failure of x is q= 50%= 50/100= 1/2= 0.5

Similarly

The probability of success of y is p=50%= 50/100=1/2 = 0.5

The probability of failure of y is q= 50%= 50/100= 1/2= 0.5

Then their joint distribution can be calculated from the following table.

        x              0.5               0.5               h(y)

y

0.5                  0.25            0.25              0.5

0.5                  0.25             0.25             0.5

g(x)                 0.5                 0.5               1.0

It is evident from the data that x and y have the same probability at each point  when both x and y are at

successfailuresuccess and failurefailure and success

But the random variable X will have different values for

both success  = $500+ $500= $ 1000 both failure  = -$500+ -$500= $- 1000success and failure = $500+ $-500= $0failure and success = $-500+ $500= $ 0

For the bar graph click

https://brainly.com/question/25196929

https://brainly.com/question/25718527

The bar graph will appear as follows.

Answer:

Step-by-step explanation:

Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?

b) On another trip, he used 9 gallons of gas. How far did he travel?

Answers

Step-by-step explanation:

a)

well, it is kind of written already :

228 miles and 6 gallons.

so, miles/gallon = 228/6 = 38 miles/gallon.

b)

it is not mentioned, but I guess we have to assume that he got the same miles/gallon ratio on this trip as well.

so, again

38 miles/gallon

and he used 9 gallons.

so, he drove 38×9 = 342 miles

Determine whether it is possible to form a triangle
with side lengths 5, 7, and 8.
O yes
no

Answers

Answer:

YES

Step-by-step explanation:

Gas grills are on sale 20% off. The sale price of the grill that I like is $399.20. What was the original price of the grill?

Answers

Answer:

499

Ste-by-step explanation

80 percent of the original price is left.

If you divide by 4 you get 99.8 which is 20% of the original price. Then if you multiply 99.8 by 5 you will get 100% of the original price which is 499

You can also do 399.2 * 1.25 = 499

expand and simplify 2(8x + 4y - 10)

[tex]2(8x + \\4y - 10)[/tex]

Answers

You multiply 2 by the 8x to get 16x then multiply the 4y by 2 to get 8y and lastly multiply -10 by 2 to get -20 then put it all together to get= 16x + 8y - 20
16x+8y-20 bc 8x2 is 16 so 16x; 4x2 is 8 so 8y; 10x2 is 20 so 20 and when you add the sings to it is would equal 16x+8y-20

Jason's new business will start making a profit when he sells more than 20 items. Which graph best represents this situation?

Answers

Answer:

I- where is the graph

Step-by-step explanation:

Answer:

It's A the first graph

Step-by-step explanation:

Other Questions
Kaya is riding her dirt bike eastward on a dirt road. She spots a pothole ahead. Kaya slows her car from 18.0 m/s to 6.5 m/s in 6.5 s. What is her acceleration? Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 jars of jelly and 5 jars of peanut butter for $15.67. Find the cost of a jar of peanut butter? in what flight condition is torque effect the greatest in a single-engine airplane? -5. Tanya wants to subtract 62 - 48. What are someways she can find the difference? Choose a wayand show the work needed to find the difference Organ system:Put the following in order from smallest to largest:CellsOrgansTissues How to make your own website ? In the past two years, the situation in the United States has been turbulent, with C O V I D-19's reasons, and the reasons for the previous presidential election. Some of them have begun to become independent. In Texas, the headquarters of the Republican Party, many local republican government members believe that the election results are fraudulent, so they are very dissatisfied with Biden and the Democratic Party. Later, they violated Biden's administrative instructions for many times. Up to now, even local U.S. congressmen openly support independence and claim that after independence, they will take all the space agency, oil and the army away. However, local people said that if Texas was really independent, Biden would send troops immediately. Write the equation of the line that passes through the points (-1,3) and (-1,-9). Everything in the store was at 30% discount . A dress was originally for 65$ . What was the discount price ? What is Cortezs (Cortess) impression of the Native Americans? a length of top is stretched between the top edge of a building and a stake in the ground the head of the stake is at ground level. the rope also touches a tree that is growing half way between the stake and the building. if the tree is 38 ft tall how tall is the building? Select the correct answer.What was one of the powers of the central government under the Articles of Confederation?A.to impose taxesOB.to conduct foreign affairsOC. to maintain an armyOD.to control Interstate tradeO E. to change existing laws the EM wave emitted by the sun and responsible for heating the Earths atmosphere due to green house effect is help me plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss plssssssssssssssss What is the impact of Customer Centricity? HELPPPP!!!!! i will give 70 points Which correlation coefficient best matches the graph? Given the function f (x) = 3x 2, what is the value of f (3)? 16. If a user can make modifications to database objects, what permission has thatuser been assigned?A. UpdateB. AlterC. CreateD. Select which type of air mass most likely has high humidity and high temperature