If y varies directly as x and x=6 when y=0.5, find y when x=10

Answers

Answer 1

Answer:

y = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given 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 = 6 when y = 0.5 , then

0.5 = 6k ( divide both sides by 6 )

[tex]\frac{0.5}{6}[/tex] = k , that is k = [tex]\frac{1}{12}[/tex]

y = [tex]\frac{1}{12}[/tex] x ← equation of variation

When x = 10, then

y = [tex]\frac{1}{12}[/tex] × 10 = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]


Related Questions

What is 5^5 evaluated or to make it easier to understand if you don't know what 5^5 is then it means what is 5 to the power of 5 evaluated?




6th GRADE MATH

Answers

Answer:

3125

Step-by-step explanation:

5 x 5 x 5 x 5 x 5

25 x 5 x 5 x 5

125 x 5 x 5

625 x 5

3125

Answer:

3125 hope this helps you

1. The scale of a map is 1:1000. What are the actual dimensions of a
rectangle which appears as 4 cm by 3 cm on the map? What is the area
on the map in cm2 ?What is the actual area in m2?

Answers

Answer:

Step-by-step explanation:

4 cm × 1000 = 4000 cm = 40 meters

3 cm × 1000 = 3000 cm = 30 meters

A 4 cm by 3 cm  section on the map represents 40 m by 30 m.

area = 40 m × 30 m = 1200 m²

A-(5,-9)
B-(-9,-5)
C-(-9,5)
D-(-5,9)

ASAP HELP!!! WILL MARK BRAINLIST!!!

Answers

it’s supposed to be (5,9) both numbers positive

PLEASE HELP !!!!!!!!!! What is mzABC?

Answers

Answer:160

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

Angle ABC is 135 (the exterior angle of ACB) minus angle BAC so

135-75 = 60

How to add a Histogram plz my homework is due tomorrow so I did now sorry if I rushed you but my mom is getting my report card so I need to up those grades

Answers

Answer:

Step-by-step explanation:

ALGEBRAIC EXPRESSION, FACTORIZATION AND IDENTITIES... pls help me in this... (2)​

Answers

Step-by-step explanation:

i was busy so i did this much ...will solve later

What is the volume of this composite solid?
5 m
12m
A. 1188 cubic meters
B. 132 cubic meters
O Ο Ο Ο
C. 864 cubic meters
D. 567 cubic meters

Answers

Answer:

The answer is 864 cubic meters

Suppose that a phone that originally sold for $800 loses 3/5 of its value each year after it is released.


After 2 years, how much is the phone worth?




Write an equation for the value of the phone, , years after it is released.

Answers

Answer:

It will be worth $128.

Step-by-step explanation:

After 1 year, 3/5 of 800 is 480 which leaves the value at $320, and then after 2 years, 3/5 of 320 is 192. 320-192 leaves the value at $128.

please help me, this is late and i will get in soooo much trouble if i do not complete this

Answers

Answer:

(D)

Step-by-step explanation:

I dont know tis for sure and so i hope im right :)

I believe it is A. This is because to find the exact ratio you will need all the people if you take a few you wont know the total. I hope this is helps.

Sydney bought 3 bottles of glitter each bottle of glitter cost $6 how much did Sydney spend on the bottles of glitter

Answers

Answer:

Sydney spent $18 dollars on glitter.

Step-by-step explanation:

3 x 6 = 18.

Hope this helped?! ♥

A student did not complete two assignments in Math class this week.
Each assignment was worth 5 points.
The student's current grade is an 80. How many points will they lose?

Answers

Answer : They will lose 10 points

Step-by-step explanation:

Answer:

They will lose 10 points

Step-by-step explanation:

Each assignment was worth 5 points.

5x2=10

Her grade would be a 70%

!!will give brainliest!! If you want addition to be done before multiplication, what do you need to add to the problem?​

Answers

I beive your doing "Order of Operations"

Heres some information.

Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to preform multiplication and division from left to right. Next, add and subtract from left to right.

(!) Leave a comment to let me know if you need more information or any help (!)

this is an arrangement of data, usually in rows or column's.it is called___?

Answers

Answer:

Table

Step-by-step explanation:

A table is an arrangement of data in rows and columns, or possibly in a more complex structure.

A radius of a circle is perpendicular to a chord if and only if it
A. is equal in length to that chord
B. parallels that chord
C. bisects that chord
D. intersects the chord directly on the circumference

Answers

Answer:

C. bisects that chord

Step-by-step explanation:

The radius of a circle is perpendicular to a chord if and only if it bisects the chord. Therefore, the option b is correct.

Radius of the circle:

In the case when the diameter or the radius should be perpendicular with respect to the chord so it should be bisected the chord also its arc.

At the time when the two chords should be congruent so their corresponding arc should also be congruent.

Therefore, the option b is correct.

Learn more about circle here: https://brainly.com/question/3401487

3600 dollars is placed in an account with an annual interest rate of 9%. How much
will be in the account after 25 years, to the nearest cent?

Answers

Answer:

r

Step-by-step explanation:

Name the steps of solving 5x+4=40

Answers

Answer:

Step-by-step explanation:

Simplifying

5x + -4 = 40

Reorder the terms:

-4 + 5x = 40

Solving

-4 + 5x = 40

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 5x = 40 + 4

Combine like terms: -4 + 4 = 0

0 + 5x = 40 + 4

5x = 40 + 4

Combine like terms: 40 + 4 = 44

5x = 44

Divide each side by '5'.

x = 8.8

Simplifying

x = 8.8

Help please! Find the surface area WITHOUT the bottom.

Answers

Answer:

B

Step-by-step explanation:

(6.5×6.5)2+(1÷2×5×6)2

HELP PLEASEEE!!!!!!! The population in Smalltown in 2010 was 56,382 people and is growing exponentially at a rate of 1.2 percent. Which of the following equations defines the population t years after 2010?

a. P= 56,382(1+0.12)^t
b. P= 56,382(1+0.012)^t
c. P= 56,382e^0.012t
d. P= 56382e^1.2t

Answers

Answer:

b. P = 56,382(1+0.012)^t

The equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

The population P after 2010 is an exponential growth function of the form:

[tex]P = P_{0} (1 + r)^t[/tex]

where P₀ is the initial population,

r is the annual growth rate as a decimal, and

t is the time in years.

Byu given information P₀ = 56,382,

r = 0.012, and

t is the number of years after 2010.

The equation that defines the population in Smalltown t years after 2010 is:

[tex]P = 56,382(1 + 0.012)^t[/tex]

Hence, equation that defines the population in Smalltown t years after 2010 is [tex]P = 56,382(1 + 0.012)^t[/tex]

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ2

Rushi ran 7.35 miles on Monday and 2.29 miles on Tuesday. How many more miles did Rushi run on
Monday than Tuesday?

Answers

Answer:

5.06

Step-by-step explanation:

hope this helps!

He is ordering the pizzas from a place that has 12 different topping options.
7 options are vegetarian and 5 are meats.
Write the ratio of vegetarian options to the total of options in three different ways

Answers

Answer:

7:5, 7/5, 7 to 5

Explanation:

I think you're asking of this?? If not lmk

Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality shows the relationship between the number of packs of regular cards (r) and the number of packs of foll cards (f) Justin can afford to buy?

Answers

Answer:Justin plans to spend $20 on sports cards. Regular cards cost $3.50 per pack and foil cards cost $4.50 per pack

number of packs of regular cards =r and the number of packs of foll cards = f

Cost of Regular card = 3.50

Cost of 'r' packs of regular card = 3.50r

Cost of Foil card = 4.50

Cost of 'f' packs of Foil card = 4.50f

Justin plans to spend $20 on sports cards so the sum of cost of regular and Foil cards should be less than or equal to 20

The inequality becomes

3.50r + 4.50f <= 20


Jessica and Maria got to the supermarket to buy fruit. Jessica
buys 5 apples and 6 oranges and her total before tax is $3.05.
Maria buys 7 apples and 6 oranges and her total before tax is
$3.55. What is the price of each fruit?

Answers

Answer:$0.25 per apple

$0.30 per orange

Step-by-step explanation:

I knowwww iM aMbitious and i helped 126

people

Simplify Please and Thank you!

Answers

Answer:

[tex]2\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{24} \\= \sqrt{4} * \sqrt{6}\\= 2\sqrt{6}[/tex]

Simplify the expression below 12 divided by (2+1)

Answers

Answer:

12 divide by 2+1

2+1=3 so

12/3

4

000_7th Math 2020-2021 Spring Benchmark

COLOR THEME

e Q ZOOM

35. The distance between two cities on a map is 3.5 centimeters. The map uses a scale

in which 1 centimeter represents 20 kilometers. What is the actual distance

between these two cities in kilometers?

Answers

Answer:

The distance between two cities is 70 km.

Step-by-step explanation:

Given that,

The distance between two cities on a map is 3.5 centimeters.

It is also mentioned that the map uses a scale  in which 1 centimeter represents 20 kilometers.

We need to find the actual distance  between these two cities in kilometers.

1 cm = 20 km

3.5 cm = (3.5 × 20) km

= 70 km

Hence, the distance between two cities is 70 km.

Given log34≈1.262 and log37≈1.771, what is the value of log3(167)?



Enter your answer in the box.

Answers

Answer:

0.753

Step-by-step explanation:

I just took the test lol

The value of log₃(⁷/₁₆) when log₃4 = 1.262 and log₃7 = 1.771 is;

log₃(⁷/₁₆) = -0.753

We are given;

log₃4 = 1.262

log₃7 = 1.771

We want to find log₃(⁷/₁₆)

Now, from properties of logarithm too, we have;

logₐ(x/y) = logₐx - logₐy

Thus;  log₃(⁷/₁₆) =  log₃7 -  log₃16

Also, we know that; logₐx² = 2logₐx

Thus; log₃16 =  log₃4²

log₃16 = 2log₃4

Thus; log₃(⁷/₁₆) = log₃7 - 2log₃4

Plugging in the relevant values gives;

1.771 - 2(1.262) = -0.753

Read more; https://brainly.com/question/12049968

An oven is set at 176.8°C. Marla increases the temperature by 23.8°C.

What is the final oven temperature?

Answers

Answer:

200.6 degrees Celsius

We have the given number, 176.8 degrees Celsius, and we add or increase it by 23.8 degrees.

176.8 + 23.8 = 200.6

Our final answer is 200.6 degrees Celsius.

~Hope this helps~

Answer:

200.6'C or 461.2'F

Step-by-step explanation:

176.8'C

+ 23.8'C

--------------

200.6'C

To make 'F, we must add 30, then multiply by 2.

200.6'F

+ 30.0'F

--------------

230.6'F

x 2

--------------

461.2'F

--------------

Not sure if you needed all this but happy to help!

WILL MARK BRAINLIST!!!!!!!!!!!!!!!!!

Answers

Answer:

184

Step-by-step explanation:

f(-9) means find the value of the function when x = -9, so substitute -9 into the function and solve:

3(-9)^2 + 5(-9) - 14

3(81) + 5(-9) - 14

3(81) + (-45) - 14

243 - 45 - 14

184

PLEASE HELP ITS DUE AT MIDNIGHT (pt 2)

Answers

Answer:

5. there was a:  18% decrease.

6.  if the intial value was 285 and there was a 15 difference then the final value is 300. The change is 5.26%.

7. She has a 33.3333 % increase

8. The amount of students increased by 23.0769%

I hope this somewhat helps

What is the volume of this sphere?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

3,052.08 cm^3

Step-by-step explanation:

Here, we want to find the volume of the sphere

We have the formula as;

V = 4/3 * pi * r^3

The radius is 9 cm

V = 4/3 * 3.14 * 9^3

V = 3,052.08 cm^3

Answer:

113.04

Step-by-step explanation:

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