y is directly proportional to x when y=30, x=6
a) work out an equation connecting y and x
b) work out the value y when x=12

Answers

Answer 1

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

[tex] \therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}[/tex]


Related Questions

2x - 4y + 7x - 87
Helppp

Answers

Answer:

9x-4y-87

Step-by-step explanation:

2x-4y+7x-87

9x-4y-87

Answer:

9x-4y-87

Step-by-step explanation:

7x+2x=9x

-4y has no similar variable

-87 has no similar variable

therefore the answer is 9x-4y-87

2log50+2log2 sederhanakan dengan caranya

Answers

Answer:

4

Step-by-step explanation:

log(50×50)×log(2×2)

log (2500)×log(4)

log(2500×4)

log(10000)

log(10^4)

=4

27. If x = -6, which inequality is true?
A. -5 - 3x > 10
B. -3 - 5x < -14
C. 1 - 2x > 13
D. 2 - X <-3

Answers

Answer:

A. -5 - 3x > 10

Step-by-step explanation:

x = -6

A. -5 - 3(-6) > 10

-5 + 18 = 13 > 10

true

B. -3 - 5(-6) < -14

-3 + 30 = 27 < -14

false

C. 1 - 2(-6) > 13

1 + 12 = 13 > 13

false

D. 2 - (-6) <-3

2 + 6 = 8 < -3

false

Help please I don’t understand

Answers

what part are you talking about

8 (2x - 3) – 6x
What is the answer

Answers

Answer:

10x-24

Step-by-step explanation:

16x-24-6x

10x-24

Answer:

-24

Step-by-step explanation:

Please Help!! 10 Points!! Brainliest answer

Answers

Answer:

XW since it matches the same as IH  

Step-by-step explanation:

example if it asked another question saying what corresponds with XY. XY is on the last part of the statement so it would  correspond with IJ

(sqrt(6))/(8+\sqrt(10))

Answers

Answer:

[tex]\frac{4\sqrt{6}-\sqrt{15}}{27}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{6} }{8+\sqrt{10} } \\\\\mathrm{Multiply\:by\:the\:conjugate}\:\frac{8-\sqrt{10}}{8-\sqrt{10}}\\=\frac{\sqrt{6}\left(8-\sqrt{10}\right)}{\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)}\\\\\sqrt{6}\left(8-\sqrt{10}\right)=8\sqrt{6}-2\sqrt{15}\\\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)=54\\\\=\frac{8\sqrt{6}-2\sqrt{15}}{54}\\\\\mathrm{Factor}\:8\sqrt{6}-2\sqrt{15}:\quad 2\left(4\sqrt{6}-\sqrt{15}\right)\\\\=\frac{2\left(4\sqrt{6}-\sqrt{15}\right)}{54}\\[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{4\sqrt{6}-\sqrt{15}}{27}[/tex]

Does anyone know the answer to this?

Answers

Answer:

(B) The exponents should be subtracted by the quotient rule of exponents

Step-by-step explanation:

Let's examine how this was solved.

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

He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.

[tex]\frac{4^4 4^6}{4^{-10}}[/tex]

He then combined the numerator exponents. Exponent rules say that [tex]a^b \cdot a^c = a^b+c[/tex], so he should have ended up with [tex]4^{10}[/tex], which he did. This is correct.

[tex]\frac{4^{10}}{4^{-10}}[/tex]

Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have [tex]\frac{a^b}{a^c}[/tex], it equals [tex]a^{b-c}[/tex].

[tex]10 - (-10) = 10+10 = 20[/tex]

So the final answer should have been [tex]4^{20}[/tex]

Hope this helped!

-6x+8y-10x-8y
Show and explain work

Answers

Answer:

Simplify the expression.

−16x

Step-by-step explanation:

Rajeev has three times the number of oranges as
Sanjeev. Together, they have 28 oranges.
How many oranges does Sanjeev have?

Answers

Answer:

7

Step-by-step explanation:

let sanjeevs no of oranges be x

rajeevs no of oranges=3x

total=4x=28

x=28/4

=7

sanjeevs oranges=7

while rajeevs oranges=3*7

=21

what is 2 time 30000

Answers

Answer:

60000

Step-by-step explanation:

Answer:

60,000

Step-by-step explanation:

2 times 30,000 is 60,000



Point M is the midpoint of segment PR. If PM= 4x - 12 and MR =2x + 21, solve for x and determine the measure of segment PR
Set up an equation to solve for x.

Answers

Answer:

x=4.5

Step-by-step explanation:

pm is equal to mr so you can set the equations to equal each other and solve

The steps below show the solution to the equation 3 (2-2) = 2(x - 3).

Order the reasons for the steps. 3(2-2) = 2(2-3) 3(2) + 3(-2) = 2 (x) +2 (-3) (Select) 32 - 6 = 22 - 6 [Select] 3x - 2 = -6+6 Select) x=0 Select

Answers

hbbbbvdssaatyhhjjkjgdsaegjo

Four kids race their bikes down the street. Evan finishes in 6.2,Devon in 6.0999 seconds,Liza in 6.188, and Tasha in 6.168 seconds. Which order shows the friends' times from fastest to slowest

Answers

Answer:

Devon, Tasha, Liza, Evan

Step-by-step explanation:

Devon is the fastest with 6.0999

Tasha is second fastest with 6.168

Liza is third fastest with 6.188

and Evan is the slowest with 6.2.

Which expression is a representation of the following:
+4
-7
A.4+ (-7) = - 3
B.7-4=3
C.4 + 7 = 11
D.4 + (-7) = 3

Answers

The correct expression is A.

Divide. 5892 ÷ 18 in fraction form.

Answers

Answer: mixed number 327 1/3

Step-by-step explanation:

5892/ 1÷18/ 1=327 1/3

put each number over one to turn it into a fraction.

The answer in fraction form is 982/3 or 327 (1 / 3).

Given,

5892 ÷ 18

We need to divide it in fraction form.

How do we divide a fraction?

Suppose we have two fractions:

a/b and c/d

Divide a/b by c/d

Now,

a/b ÷ c/d

a/b x d/c

Divide 5892 ÷ 18 in fraction form.

Write 5892 and 18  in fraction form:

- 5892/1

- 18/1

Now,

= 5892 / 1 ÷ 18/1

= (5892/1) / (18/1)

= (5892/1) x (1/18)

= (5892 x 1)  / (1 x 18)

= 5892 / 18

Write it in 6 multiples

= (6 x 982) / (6 x 3)

6 gets cancelled

= 982 / 3

We can write it in mix fraction.

= 327 (1 / 3)

Since,

3 x 327 = 981

981 + 1 = 982

Thus the answer in fraction form is 982/3 or 327 (1 / 3).

Learn more about dividing in dividing a fraction by a fraction here:

https://brainly.com/question/14582918

#SPJ2

Please I need help!!!

Answers

Answer:

10 1/2

Step-by-step explanation:

use  a calculater

How much would the account earn in 1 year of simple interest at a yearly rate of 2.33%? Round to the nearest cent.

Answers

Answer:

who knows what is the whole question

Step-by-step explanation:

Cookie the dog is getting ready to go on a trip to Mexico. In Texas, she weighs 35 pounds. If someone were to weigh her in Mexico, how many kilograms would she weigh? There are approximately 0.45 kilograms in 1 pound.
I need help

Answers

Answer: 15.876kg

Step-by-step explanation:

An isosceles triangle has two sides of equal length. The third side is 7 less than twice the length of one of the other sides. If the perimeter of the triangle is 44 cm, what is the length of the third side?

Answers

Answer:

x+x+7-x=44

x+7=44

x=44-7

x=37

7 divided by what equals 56?

Answers

Answer:

the answer is 8 very easy and very simple have a great

day ☺️

The answer is 8 that’s very simple lol

help me pls i need help pls omg omg

Answers

Answer:

eliminated, the bedtime increases by one minute. ... Description: This activity requires students to tell time to the half-hour (e.g. 4:00, 5:30, 11:30).

Step-by-step explanation:

Answer:

I think it's A) <1 and <2

Step-by-step explanation:

I am not 100% on this, but Adjacent angles are two angles that have a common vertex and a common side but do not overlap. In the figure, ∠1 and ∠2 are adjacent angles. They share the same vertex and the same common side.

There were 52 problems on Petunia's last math test. She got
one-fourth of them wrong. How many questions did she get right?

Answers

Answer:13

Step-by-step explanation:

A class has 30 boys and 20 girls. The average age of
boys is 11 yrs and girls 12 What is the
average age of the whole class."

Answers

x = total age of boys

x / 30 = 11yrs

Multiply both sides by 30

x = 330

y = total age of girls

y / 20 = 12

Multiply both sides by 20

y = 240

(240 + 330) / 50 = 11.4 yrs

The average age of the whole class = 11.4 years.

Given:

A class has 30 boys and 20 girls.

The average age of boys and girls is 11 and 12 respectively.

To Find:

The average age of the whole class.

Solution:

Boys = No. of boys × Age

Boys = 30 × 11 = 330

Girls = No. of girls × Age

Girls = 20 × 12 = 240

Average Age = Boys + Girls / Total no. of boys and girls

Average Age = 330 + 240 / 50

Average Age = 570 / 50

Average Age = 11.4

Answer:

Average age of of the whole class is 11.4 .

“An elephant charged 13.3 meters in 15 seconds.
At this rate, how far would the elephant move if it
could charge for 1 minute?”

Answers

Answer:

53.2 meters

Step-by-step explanation:

If an elephant charged 13.3 meters in 15 seconds, to calculate the distance charged by the elephant in one minute, the following steps will be arried out.

15 seconds = 13.3 meters

1minute (60 seconds) = x

cross multiply

15 * x = 13.3 * 60

15x = 798

Divide both sides by 15

15x/15 = 798/15

x = 53.2metres

Hence the elephant will charge 53.2 meters for 1 minute

what is the opposite of 9.3?

Answers

Answer:

The answer is -9.3

Step-by-step explanation:

If it was postitive change to negative. If it was negative change to positive.

I hope this helped and have a great day!

(Please vote this brainliest)

Answer: -9.3

Step-by-step explanation:

Evaluate the function f(x) = 3 - 6x, when x=0.

a -3
b 0
c 3
d -57

Answers

Answer:

C

Step-by-step explanation:

f(0)= 3 - 6 (0)

f(0)= 3 - 0

f(0)= 3

I do not get it pls help ASAP

Answers

Answer:

17 ft.

Step-by-step explanation:

just add all the values to get the perimeter.

Perimeter = 3ft +4+3+4+3

=17 feet

Therefore.., 17ft is the perimeter..

If this answer helps you plz mark as brainlist..

Which shows a set of three equivalent decimals? 0.8, 0.08, 0.800 0.8, 0.80, 0.800 8.0, 0.80, 0.800 8.0, 8.00, 0.800

Answers

Answer:

they are all equivilent

Step-by-step explanation:

Answer:

B. 0.8, 0.80, 0.800

Step-by-step explanation:

Levar is four years older than Danny. Together, their ages add up to 60 . Write an equation to find how old Danny is , using ? To represent his age.

Answers

Answer:

2x+4=60

Step-by-step explanation:

let X represent Danny's age.

and X+4 represent Levar's age since he's 4 years older than Danny we add 4.

subtract 4 from both sides and then divide by 2 and Danny's age is 28 and Levar is 32

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