3) If y varies directly as x, and x = 4 when y=1/10, write the the direct
variation equation in the form of y = kx. A.2D*

13: -x+6

15: 3x

11: -8x-20

17: 6x+1

18: -1

Answer:

y=1/4x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-2)/(12-(-4))=4/(12+4)=4/16=1/4

y-y1=m(x-x1)

y-2=1/4(x-(-4))

y-2=1/4(x+4)

y=1/4x+4/4+2

y=1/4x+1+2

y=1/4x+3

The first statement should be;

y is inversely proportional to a³.

Answer:

y = 0.64/x³

Step-by-step explanation:

y is inversely proportional to a³. This is;

y ∝ 1/a³

Thus, y = k(1/a³).

Where k is the constant of proportionality.

When y = 10, a = 2.

Thus; 10 = k(1/2³)

10 = k/8

k = 80.

Thus; y = 80(1/a³) - - -(1)

Also, a is directly proportional to x. Thus;

x ∝ a

So, x = ka

when x = 4, a = 20

Thus;

4 = 20k

k = 4/20

k = 1/5

Thus;

x = a/5

a = 5x

Put 5x for a in eq 1 to get;

y = 80(1/(5x)³)

y = (80/125) × 1/x³

y = 0.64/x³

Answer:

SEE BELOW FOR ANSWER

Step-by-step explanation:

THE PROBLEM TELLS US JAMES AND THEN ELAINE

SO THE RATIO IS JAMES 2 AND ELAINE 3

JAMES RECEIVED 2 AND ELAINE 3

PLS MARK BRANLIEST IT WOULD HELP ME OUT ALOT TYSM GOD BLESS

Answer:

The constant of proportionality is the ratio between numbers that expresses the rate at which the numbers increase or decrease. These two numbers are directly proportional when they increase and decrease at the same rate.

Answer:

80

Step-by-step explanation:

Delta math math

The length of m in triangle MNO is approximately 80 inches.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

In ΔMNO, n = 85 inches, o = 10 inches, and ∠M=56°.

In this case, we are given the lengths of sides n and o and the measure of angle M. We can use the law of cosines to solve for the length of side m:

⇒ m² = n² + o² - 2 × n × o × cos(∠M)

We are given that n = 85 inches, o = 10 inches, and ∠M = 56°. We can use these values to solve for m:

⇒ m² = 85² + 10² - 2 × 85 × 10 × cos (56°)

We can use a calculator or look up the value of cos 56° to find that it is approximately 0.6. Plugging this value into the formula above gives us:

⇒ m = 79.8397 ≈ 80 inches

Therefore, the length of m in triangle MNO is approximately 80 inches to the nearest inch.

Learn more about the triangles here:

https://brainly.com/question/17997149

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Answer:

1.Front and back=40.Top and bottom =80.lwft and right =32 multiply everything by 2 then add it all

Answer:

The answer is 8/10

Step-by-step explanation:

When you convert a decimal into a fraction especially a repeating decimal it could be a little complicated but here is what you had to do to find that answer

Step 1: Let x equal the decimal number

Which is x = 0.533333

And with 1 digit in the repeating decimal group create a second equation by multiplying both sides by 10^1 = 10

Step 2:

10x = 0.5333333

Now subtract equation 1 from equation 2

which is

10x = 5.333333

x = 0.5333333

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

9x - 4.8

We get

9x - 4.8

Step 3: Solve for x

X = 4.8/9

Multiply to eliminate 1 decimal place.

Here you multiply top and bottom by 1 10's

= 10^1 = 10

4.8/9 x 10/10 = 48/90

Step 4: Find the Greatest Common Factor (GCF) of 48 and 90,

if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 6,

48 ÷ 6/90 ÷ 6 = 8/15

Step 5: Therefore

X = 8/15

And in conclusion

0.5333333 = 8/15

So 8/15 is the answer

Have a nice day!

Hope this helped!

Answer:

1

Step-by-step explanation:

Answer:

domain is basically x and range is y, so -2,5    -2 is domain and 5 is range

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The GCF of 11x⁴y² and 22x⁵y³

Both are divisible by 11, so that leaves C and D.

Both x⁴ and x⁵ are divisible by x⁴.

Both y² and y³ are divisible by y².

So if we multiply this all together,

11 * x⁴ * y² = 11x⁴y²

So this leaves D as the final answer.

Answer:

It will take 100 songs for the monthly price of Napster to cost the same as iTunes.

Step-by-step explanation:

Let's create two equations to represent iTunes (T(d)) and Napster (N(d)):

T(d)=0.99d

N(d)=0.89d+10

In order for us to find when the two prices will be the same, let's set the equations equal to each other and solve for x:

0.99d=0.89d+10

0.1d=10

d=100

Answer:

5050550

Step-by-step explanation:

Answer:

Jose: Y= 2.50x +4

Elaine Y= 1x +10

same at 4

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

Thanks for the points i guess l.mao

Answer:

n =[tex]\frac{5}{10}[/tex]

Step-by-step explanation:

Answer:

n= 2 and two thirds

Step-by-step:

this is the equation

3/10n=4/5

so to get n by itself, you multiply both sides by 10/3. I did 4/5 times 10/3 and I got 2/2/3, or two and two thirds

The point (-3,1) is not passing through the graph y = -2x + 7 so option (C) will be correct.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given that a line  y=-2x+7

Now in order to satisfy any point of this function then the value or

coordinate should satisfy the function or line.

So by checking option (A) 9 = -2(-1) + 7 = 9 so its satisfy.

So all options except (C) are satisfying.

Option (C) ⇒

-2(-3) + 7  ≠ 1

Hence "The point (-3,1) is not passing through the graph y = -2x + 7".

For more information about the graph of a function

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Answer:

there is no attachment

Step-by-step explanation:

The area is just the dimensions multiplied, so multiply 7 by 18 and you get 126.

Answer:

Step-by-step explanation:

7inchx18inch= 126inch

Answer:

wow owo uwu

Step-by-step explanation:

Answer: 1.1x

Step-by-step explanation:

Muhammad is getting paid x dollars and receives a raise of 10% of those x dollars.

New hourly wage is therefore:

= x + (10% * x)

= x + 10%x

= x + 0.1x

= 1.1x

Answer:

C= .80x+315.60

Answer:

83

Step-by-step explanation:

100% is the total, the whole

Answer:

83

Step-by-step explanation:

You have 100%

change that to a decimal

you now have 1.00

multiply 83 by 1

you have 83

Answer:

Reflection over the y-axis followed by a translation to the right by one unit.

Step-by-step explanation:

Answer:

Reflection about the Y axis followed by a translation to the left by two units

Step-by-step explanation:

Got it right on test!

Answer:

He purchased 15 tickets.

Step-by-step explanation:

First you gather your important information/ numbers

-7

-8

- how many tickets did he purchase?(+)

Then you create your equation and solve

7+8=15

Answer:

D.

Step-by-step explanation:

You just have to try it out for some points. I tried it for (-4,-3), (0,0), (7,0)

i think 10 cause 5+5 =10 sorry if it is wrong

Step-by-step explanation:

Wouldn't the answer just be 10% because everytime it moves, it increases by 10