Suppose that y varies directly with x
and y=
= 10 when x = 20. What is y
when x = 15?
Be sure to simplify your answer.

Suppose That Y Varies Directly With Xand Y== 10 When X = 20. What Is Ywhen X = 15?Be Sure To Simplify

Answers

Answer 1

Answer:

[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]

answer:10×2=20

5×3=15

Answer 2

Answer:

y = 7.5

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 20

10 = 20k ( divide both sides by 20 )

[tex]\frac{1}{2}[/tex] = k

y = [tex]\frac{1}{2}[/tex] x ← equation of variation

When x = 15 , then

y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5


Related Questions

How much of a radioactive kind of niobium will be left after 105 days if you start with 3,920 grams and the half-life is 35 days?

Answers

Answer:

"490 grams" would be the correct solution.

Step-by-step explanation:

The given values are:

Half time,

T = 35 days

Total time,

t = 105 days

As we know,

⇒ [tex]A=A_o(\frac{1}{2} )^{\frac{t}{T} }[/tex]

On substituting the values, we get

⇒     [tex]=3920\times (\frac{1}{2})^{\frac{105}{35} }[/tex]

⇒     [tex]=3920\times (0.5)^3[/tex]

⇒     [tex]=3920\times 0.125[/tex]

⇒     [tex]=490 \ grams[/tex]

Simplify the mathematical expression below. ​

Answers

Answer:

Step-by-step explanation:

(−7,−1),(2,26),(x,14)

Find the value of x

Answers

Answer:

Im pretty sure it is 3. Tell me if I am wrong!!!

Step-by-step explanation:

I Hope This Helps :)


Which shapes have 2 pairs of parallel sides? Choose ALL that are correct

Answers

Answer:

rectangle, square

Step-by-step explanation:

those shapes have 2 sides of parallel sides.

Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). Represent this situation mathematically in two inequalities. Let `x` represent the number of hours Lin works in a week. Inequality 1:

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

x = number of hours Lin works in a week

Inequality (1) : Least Numbe rod hours worked

x ≥ 5 - - - (1)

Possible earning including transportation allowance :

8.25x + 10 ≥ 175 - - - (2)

Solving for X from (2)

8.25x ≥ 175 - 10

8.25x ≥ 165

x ≥ 20 hours

To earn upto 175 per week, then he has to work for 20 hours

10. Amanda covers the outside of a box, shown in the diagram below, with
decorative paper for a school project. The top of the box is open.
3 in
7 in.
8 in
If the paper costs $0.03 per square inch, what is Amanda's total cost?

Answers

Answer:

1/2 of an answer is zero answer.

The altitude on a ski trail drops 2 feet for
every 5 feet of horizontal distance traveled,
The end of the trail has an altitude of
4,000 feet and is a horizontal distance of
2000 feet from the start,
a. Write an equation in point-slope form
that represents this situation, and
graph the equation.

Answers

Answer:

rrrrrehwhwjwmkwwuwiwiiwiwiwiw

The measure of L in triangle LMN is 32°. The measure of M is 69°. What is the measure of N?
A.
79°
B.
259°
C.
101°
D.
37°

Answers

Answer:

A) 79

Step-by-step explanation:

m<N = x

All angles in a triangle add up to 180 so:

x + m<L + m<M = 180

x + 32 + 69 = 180

x + 101 = 180

x = 180 - 101

x = 79

Answer:

It is (A) 79°

The summation of the triangle's angles are 180°

Step-by-step explanation:

[tex]m + l + n = 180 \\ 69 + 32 + n = 180 \\ n = 180 - 101 \\ n = 79 ^{ {} ^{.} } [/tex]

Unit 7: Polygons & Quadrilaterals
Nomework 4: Rhombi and Squares

Answers

Answer:

Hey mate, here is your answer. Hope it helps you.

Step-by-step explanation:

6x-21 —->

x=21+6

=27

Answer:

x=11°

Step-by-step explanation:

PSRQ is square ⇒ ∠PQR=90°⇒ ∠PQS=45° ⇒ 6x-21=45 ⇒6x=66 ⇒x=11°


CAN SOMONE PLZ HELP ME ON THS

Answers

Answer:

Step-by-step explanation:

3
Select the correct answer from each drop-down menu.
Sharon is assessing the popularity of a fashion magazine for her blog. The number of subscribers to the magazine for the years 2000 to 2004 are
given in the table.
Number of Years Since 2000 Number of Subscribers
0
25,000
1
20,000
2
16,000
3
12,800
4
10,240
The number of subscribers is decreasing
As the number of years since 2000 increases, the number of subscribers to the magazine will approach positive infinity
Reset
Next

Plz help

Answers

Answer:

decreasing and 0 i just had this question

Step-by-step explanation:

The number of subscribers is decreasing exponentially.

How to form two-way table?

Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n

List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  X_i  and Y_j  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

We are given that;

The table

Now,

the number of subscribers to the magazine is decreasing exponentially because it is decreasing by a fixed percentage each year. The base of the exponential function is less than 1, which means that the function is decreasing. The inverse of an exponential function is a logarithmic function, which has the form f(x) = log_a(x), where a is the base of the exponential function. To find the inverse of an exponential function, you need to swap the x and y variables and solve for y using logarithms. For example, if f(x) = 2^x, then f^-1(x) = log_2(x).

Therefore, by the table the answer will be exponentially

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Find the area. Round to the nearest tenth.

Answers

Answer:

40m^2

Step-by-step explanation:

Hope it helps!!:)

Kerel wants to buy a Points card for his X-box live account. He can buy a 200-point
card for $10.00 or a 300-point card for $15.00. Which card is the better value?

Answers

Answer:

equal. i think

Step-by-step explanation:

well if 10$ is worth 200 and 15 is worth 300 for me its adding half of the orginal number (200) and get 100 so 200+100=300

Both the cards are having the same value

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first card be = A

Let the second card be = B

Now ,

The value of first card = $ 10.00

The value of second card = $ 20.00

And ,

The total value for 200 point cards = value of first card

The total value for 300 point cards = value of second card

So , the equation will be

200 = 10 A   be equation (1)

300 = 15 B   be equation (2)

Divide equation (1) by 10 on both sides , we get

A = 20

Divide equation (2) by 15 on both sides , we get

B = 20

Therefore , A = B

Hence , Both the cards are having the same value

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Which statements are true about the area of a circle? check all that apply

Answers

Answer:

circle is measured by 360°

Step-by-step explanation:

circle half of 180°

This is a scale drawing of a flag. The scale factor of a drawing to the actual flag is represented by the ratio 1:18. What is the area, in
square inches, of the actual flag?

Answers

Answer:

648 sq. in.

Step-by-step explanation:

The ratio of the flag is 1:18 and the question asks for the area of the flag.

To find the actual flag size, you got to multiply the width by 18.

Then you must multiply the length by 18.

A= LxW

A=36 x 18

A= 648 sq. in.

Therefore, the area of the actual flag is 648 sq. in.

Write a system of linear equations to model this situation where x represents the pizza and y represents the bags of wings. Use the system to answer the following questions.

Answers

Answer:

x - 3

i don't have the explanation for this lol

H E L P
what is the slope??

Answers

1/3 is the slope
X= 12-6=6
Y= 4-2=2
I got the slope 1/3 I used the points (6,2), (12.4)

verify the following:
1. (-2/3)6 = 64/729

Answers

The correct answer is -12/3
the answer is -12/3...

Please answer correctly! I will mark you as Brainliest!

Answers

252.828911927301718279402738

Answer:

1000 cubic cm

Step-by-step explanation:

20 x 5 x 10 = 1000 cubic cm

What is the missing term?

Answers

Answer:

3x²

Step-by-step explanation:

x is to the left, and 3x is below.

x × 3x = 3x²

Why isn't a vertical line a function? What test rules it out?

Answers

Answer: If you draw any vertical line and it intersects more than one point on the relationship, it isn’t a function. The test is called the vertical line test. Hope this helps.

Step-by-step explanation:

need to find out this answer

Answers

Answer:

24.997

Step-by-step explanation:

Let's start with the easy parts of the perimeter...the flat parts...7 + 7 = 14. We'll add that to the arch shortly.

We need to find the circumference of the whole circle, then divide by 4 to get 1/4 of a circle. (There might be a faster way, but this gets the job done.)

circumference = (2)(pi)(r)

= 2(3.142)(7) = 43.988

Now divide that by 4 for the distance of the arch.

43.988/4 = 10.997

Add that to the flat parts

10.997 + 14 = 24.997

Please let me know if you have any questions.

Find the value of x that makes the equation true.

2[x + (2 1/2 + 2x )] = -3 (x - 1 ) + 9

Answers

Answer:

x = 7/9 or 0.78 as a decimal

Step-by-step explanation:

have a nice day!! :)

You want to determine the height of the screen at a drive-in movie theater. You use a cardboard square to line up the top and bottom of the screen structure. The vertical distance from the ground to your eye is 5.5 ft and the horizontal distance from you to the screen is 14 ft. The bottom of the screen is 6 feet from the ground. Approximate the height of the screen to the nearest tenth.

Answers

I hope this helps with your question.

In 1960, the average cost of a gallon of milk was $0.49. In 1985, the average cost of a gallon of milk was $2.26. Which of the following represents how to calculate the percent increase in the average cost of a gallon of milk from 1960 to 1985.
A
2.26−0.490.49



B
2.26+0.490.49



C
2.26−0.492.26



D
2.26+0.492.26


which one

Answers

Answer: its C

Step-by-step explanation:

HOPE THIS HELPS

please help with simplifying​

Answers

Answer:

1. 9/16

2. 3/25

3. 1

Step-by-step explanation:

The perimeter of a rectangle is 734 centimeters, and one of the dimensions is 116 centimeters. What is the length of the other dimension?

Answers

Answer:

251cm

Step-by-step explanation:

Round 1.5 to one decimal place

Answers

Answer:

2

Step-by-step explanation:

Since rounding to the one place relies on the decimal part, the part to focus on is the .5

becuase anything greater or equal to 5 is rounded up, the answer is 2

1.5 rounded to one decimal place will be 2.

What are Places' values?

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Given a fraction number 1.5 that needed to be rounded to one decimal place. Since it's at the equidistance from the nearest whole number then we will follow the even number rule.

Rounds towards the nearest neighbor, but if equidistant, it rounds towards the even number. Both 1.5 and 2.5 are rounded to 2

therefore, 1.5 will be 2, when rounded to the nearest tenth.

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HELP HELP HELP HELP !!!!!!

Answers

Answer:

5

Step-by-step explanation:

that is what I know and if I'm wrong please tell me right away I'll try it out again thank you

Answer:

5 meters

Step-by-step explanation:

The room is rectangular, so the two walls and the diagonal (distance between opposite corners) form a right triangle.

We can use [tex]a^2 + b^2 = c^2[/tex] to compute the other wall's length:

[tex]13^2 = 12^2 + x^2\\169 = 144 + x^2\\25 = x^2\\x = \pm 5[/tex]

Mhanifa please help this is my last one !

Answers

Answer:

9)

7.7/3.6 = 2.3/b b = 2.3*3.6/7.7b = 1.08

10)

v/4.9 = 5.4/6.1v = 4.9*5.4/6.1v = 4.34

11)

6.3/x = 2.56/9.3x = 6.3*9.3/2.56x = 22.89

12)

3.4/x = 2.17/7.7x = 3.4*7.7/2.17x = 12.06
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