PLEASE HELP AND PLEASE MAKE YOUR EXPLANATION DETAILED!!!

Find the direct variation.

if y=28 when x= 168, find y when x =108.

Answers

Answer 1

Answer:

18

Step-by-step explanation:

168 : 28 : : 108 : y

168 / 28 = 108 / y

6 = 108 / y

6 * y = 108

y = 108 / 6

y = 18

Answer 2

Answer:

y = 18

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 y = 28 when x = 168

28 = 168k ( divide both sides by 168 )

[tex]\frac{28}{168}[/tex] = k , that is

k = [tex]\frac{1}{6}[/tex]

y = [tex]\frac{1}{6}[/tex] x ← equation of variation

When x = 108 , then

y = [tex]\frac{1}{6}[/tex] × 108 = 18


Related Questions

express 23/15-7/10 as a percentage​

Answers

Answer:

83.3%

Step-by-step explanation:

Which expression is equivalent to , if y ≠ 0?

Answers

The value of expression is equivalent to given expression is,

⇒ 126y²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3 √2y³ × 7 √18y

Now, We can simplify as;

⇒ 3 √2y³ × 7 √18y

⇒ 21 √36y⁴

⇒ 21 × 6y²

⇒ 126y²

Thus, The value of expression is equivalent to given expression is,

⇒ 126y²

Learn more about the mathematical expression visit:

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Answer: b

Step-by-step explanation:

You ask your best friend to lend you $300 to buy your favourite toy. She says she can lend you the money only if you give her an extra $3 for every three months that pass before you return it. What is the total amount you must pay her if you return it after nine months?

Answers

The answer is $309

Since its $3 extra per 3 months and 9 months pass it has to be an extra $9 for the $9 months.You already had to pay back the 300 so the equation would be (300+9=309)

Graph ​y=−47x+1​. Use the line tool and select two points on the line.

Answers

Answer:

Ok so I don't have a graphing thing on my computer but on the y axis you are going to put a dot on the one then go up 47 and to the right 1 and put a dot sorry that is as much as i can help you

solve this equation x/8+4=12

Answers

Answer:

x=64

Step-by-step explanation:

x/8+4=12

x/8=12-4

=8

x=8×8

=64

I need help with this

Answers

i think tha answer is a

should i do my teast for 12th grade calculus

Answers

Answer:

hope my answer helps you

Step-by-step explanation:

Yes that is definitely possible. You will have to either double up on geometry and algebra II or algebra II and pre-calculus. At my high school, there were multiple people that did the latter. I also knew someone that doubled up on pre-calculus and calculus I, but I don't recommend that.

Using x as the unknown​ number, write the statement below as an equation.The sum of twice a number and is equal to the sum of the number and

Answers

And.......what........

Help plz !!! Which equation shows that the product of a square matrix A and its identity matrix / is A?

Answers

Answer:

Option D portrays that

Matrix A multiplied by an identity matrix equals Matrix A

MARKING BRAINIEST Can you help me with this math problem please ?

Answers

Answer:

You answer can be written for Solving X two different ways

The inquitly form is

x[tex]\geq[/tex]-6

Interval Notation is

{-6,∞)

Step-by-step explanation:

In order to graph put a close dot on the number -6 and then color your line to the right of the number line.  Because the infinity sign is positive so all the number after the -6 is positive. So a close dot on the number -6 and then draw a line or color a line to the right of the number line

help please !!:))))))​

Answers

Point A = (-1,-1) point B= (2,-1)

A graphical device for depicting categorical data that have been summarized in a frequency distribution, relative frequency distribution, or percent frequency distribution is a:

Answers

The graphical device that divides data according to the percentage they represent is a pie-chart.

Frequency distribution, relative frequency distribution, or percent frequency distribution all are statistical measures that want to establish the part of the distribution corresponding to each measure, that is, percentages, thus they are represented by pie-charts.

An example, suppose that among 50 people sampled, 20 prefer the NBA and 30 the NFL.

Thus, 60% of the sample prefers the NFL, and 40% the NBA.This information is well represented by the pie-chart sketched at the end of this answer.

A similar problem is given at https://brainly.com/question/14354536

Finding the nth term, please help.

Answers

Answer:70

Step-by-step explanation: notice the pattern is adding by 8 after the first term

thoả mãn x biết 2(x+5)=x^2+5x

Answers

Answer:

=  2

=  − 5

Step-by-step explanation:

7.Austin has no money so he borrowed $28 over eight days from Kayla. How much did Austin borrow from Kayla each day? Show your work

8.The temperature dropped 6 degrees for 9 hours. What was the total change in temperature.

14.The product of two integers is -24 and the sum of the two integers is -5. What are the two integers?

Answers

#7. let x = the amount of money he borrows each day. so, the equation would be 8x (because it’s over 8 days, so 8 times x) = 28

so equation: 8x=28
then solve for x, which is 3.5 so $3.50

7.) A bank records deposits as positive numbers
and withdrawals as negative numbers.
Michael withdrew $150 from his bank account 3
times. What is his balance after the 3 withdrawals?

Answers

Depending on what his account balance was before the withdrawals the answer may vary.

The answer would be -450 though
The answer would be -450. This is the answer because 150x3=450
Sonce we are withdrawing it would be -150x3=-450

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x= 104

Step-by-step explanation:

Angle in a triangle is 180

35+41+x=180

76+x=180

x=180-76

x=104

Solvetheequation: (x-2)/(5x-3)=-1/4
please solve it fast its urgent ​

Answers

Answer:

x = 11/9

Step-by-step explanation:

Did I do this right? Tell me

Answers

yes you did it right

Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer: [tex]3\sqrt{3[/tex]

Step-by-step explanation: use pythagorean theorem to solve this. which is a^2 + b^2 = c^2

lets say b=3 and c=6. plug this into the equation.  (6)^2 - (3)^2 + = 36 - 9 which is 27 = c^2. to get c from c^2, square root the c^2 value

the square root of 27 is [tex]3\sqrt{3[/tex] in simplest radical form

What is the slope of x+y=4

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Let's find the slope :

[tex]x + y = 4[/tex]

[tex]y = 4 - x[/tex]

[tex]y = - x + 4[/tex]

now, the equation is in the general form of a straight line.

and here, the coefficient of x will be the slope of given line.

that is :

[tex] - 1[/tex]

Plz help it’s due tonight!!!

Answers

Answer:

Pls take a clearer picture or type down the values pls. Is angle D=6x+3 or something else?

This is my 2 time posting please answer
Fernando opened a pizza box. Inside there was 3/4 of a pizza. He ate 1/3 of what was remaining. How much of a pizza did he eat? Fernando opened a pizza box. Inside there was 3/4 of a pizza. He ate 1/3 of what was remaining. How much of a pizza did he eat? Please include a sentence explaining your reasoning.

Answers

Answer:

He ate 1/4 of a pizza.

Step-by-step explanation:

1/3 basically means: There are 3 parts, you take 1 of those parts

so 3/4 means that there are three fourths. 3/4 divided by 3 = 1/4. He ate 1/4 of a pizza.

You borrow $450 from a friend the first week and pay the friend back $10 each week thereafter. Write the first six terms in the sequence Explain what the sixth term means in the context of the situation
Write the first six terms in the sequence. Explain what the sixth term means in the context of the situation.

Answers

Using an arithmetic sequence, we have that:

The first six terms of the sequence are: 450, 440, 430, 420, 410 and 400.The 6th term of 400 means that after 6 weeks, the amount you owe your friend is of $400.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, we have that:

On the first week, you owe the friend $450, hence the first term is [tex]a_1 = 450[/tex].Each week, you pay back $10, hence the amount you owe is reduced by 10, and the common difference is of d = 10.

Hence, considering the common difference, each term is the previous term subtracted by 10, and:

The first six terms of the sequence are: 450, 440, 430, 420, 410 and 400.The 6th term of 400 means that after 6 weeks, the amount you owe your friend is of $400.

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

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sin^2 x - 2sinx + 2 = sin^2 3x

Answers

Recall the triple angle identity for sine:

sin(3x) = 3 sin(x) cos²(x) - sin³(x)

… = 3 sin(x) (1 - sin²(x)) - sin³(x)

… = 3 sin(x) - 4 sin³(x)

So the equation is equivalent to

sin²(x) - 2 sin(x) + 2 = sin²(3x)

sin²(x) - 2 sin(x) + 2 = (3 sin(x) - 4 sin³(x))²

sin²(x) - 2 sin(x) + 2 = 9 sin²(x) - 24 sin⁴(x) + 16 sin⁶(x)

16 sin⁶(x) - 24 sin⁴(x) + 8 sin²(x) + 2 sin(x) - 2 = 0

or, by replacing y = sin(x),

16y ⁶ - 24y ⁴ + 8y ² + 2y - 2 = 0

By inspection, y = 1 is a root, since

16 - 24 + 8 + 2 - 2 = 0

so we get one family of solutions,

sin(x) = 1   ===>   x = arcsin(1) + 2 = π/2 + 2

Now suppose y ≠ 1. Dividing both sides of the sextic equation by y - 1 then gives

(16y ⁶ - 24y ⁴ + 8y ² + 2y - 2)/(y - 1) = 0

16y ⁵ + 16y ⁴ - 8y ³ - 8y ² + 2 = 0

Unfortunately, the remaining roots can only be obtained through numerical methods. Using a calculator, you would find

y ≈ -1.127

y ≈ -0.475 ± 0.368i

y ≈ 0.539 ± 0.127i

But if you're solving over the reals, you can ignore these solutions. Remember that sin(x) is bounded between -1 and 1, and its value goes outside this interval only when x is complex.

If a car top speed is 180km/h how far will it go in 3 hours

Answers

It will go 60km/h !!!!:)

michael and his brother allen played basketball basketball each basket was worth 5 points michale scored 35 points allen scored 20 points what is the total number of baskets made during this game

Answers

11 baskets. 35+20=55. 55/5= 11

yesterday a bakery made 360 bagels.they packed them in bags of 6.they sold 45 bags.how many bags were left.

Answers

Answer:

15 bags left

Step-by-step explanation:

360/6=60

60-45=15

Fining right answer
Branleist

Answers

The first one, with the negative square root of 15 is irrational since a square root cannot be negative.
The second one is rational
The third one is rational
The fourth one is irrational

If you borrow $3,500 at 4% simple interest for 3 years. How much money do you have

to pay

Answers

Answer:

Hii, I believe your answer would be $3,360

Hope this helps!

Step-by-step explanation:

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