A chemist mixes different concentrations of
perfume using three scents the company already
produces. Scents A, B. and C have different
concentrations of rose oil. The results of three
different trials are listed in the table. The result is
the percent of rose oil by volume for each trial.
A
B
4 OZ
2 oz
4 OZ
1 oz
C
4 OZ
4 OZ
2oz
2 oz
7 oz
Result
2205
2706
23.50
How many total ounces of perfume are in the result
in each trial (each row?

Answer:

Direct variation: y = 3x, y = (2/7)x, and -0.5x = y

Not direct variation: x = -1, y = 2.2x + 7, and y = 4

Step-by-step explanation:

We know that the equation for direct variation is y = k · x, where you can fill in for k whatever number you want.

So, let’s figure this out by looking at the equations.

Equation 1: y = 3x

We know this is a direct variation equation because it all fits together and the 3 is a substitute for the variable, k.

Equation 2: x = -1

This is not an example of direct variation because:

1) the variable by itself on one side is x, when it is supposed to be y

2) there is only one number, -1, when instead it should say, -1x.

Equation 3: y= (2/7)x

This is an example of direct variation because the 2/7 is filling in for the k, and everything else matched the direct variation equation.

Equation 4: -0.5x = y

Since it doesn’t matter on which side y is, let’s just turn the equation around to make it simpler.

Now we have:

y = -0.5x

This makes sense because we have everything a direct variation equation needs to have plus the -0.5 substituting in for the k.

Equation 5: y = 2.2x + 7

This is also not an example of direct variation because although it has practically everything that an equation with direct variation has to have, it has that extra 7 there that ruins the equation.

Equation 6: y = 4

This is not an example of direct variation because there is no variable x in here! We have a k, but not an x!

Hope this helps! :)

The equations represent Direct variation are y = 3x, y = (2/7)x, and -0.5x = y

The equations represent Not direct variation: x = -1, y = 2.2x + 7, and y = 4

An equation is an expression that shows the relationship between two or more numbers and variables.

We know that the equation for direct variation can be written as;

y = kx,  

Equation 1; y = 3x

This is a direct variation equation because the 3 is a correct value for the variable, k.

Equation 2: x = -1

This is not an example of direct variation because the variable by itself on one side is x, when it is supposed to be y at that place.

Equation 3: y= (2/7)x

This is direct variation because the 2/7 is filling in for the k.

Equation 4: -0.5x = y

Since it doesn’t matter on which side y is, then just turn the equation around to make it simpler.

Now we have;

y = -0.5x

This is a direct variation equation that needs to have plus the -0.5 substituting in for the k.

Equation 5: y = 2.2x + 7

This is also a direct variation because although it has practically everything that an equation with direct variation has to have, it has that extra 7 there that ruins the equation.

Equation 6: y = 4

This is not an example of direct variation because there is no variable x. We have a k, but not an x!

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Answer:

72.5 meters

29 seconds

Step-by-step explanation:

Answer:

y = 3/4 x + 25/4

Step-by-step explanation:

just tried the numbers out with desmos (free online software

the 3/4 where guessedby intuition

(would indeed appreciate the brainliest if you appreciate the work)

Answer:

b) x=13

Step-by-step explanation:

first divide 10 by 2 to get the base of one side of the triangle

the answer will be 5

Then using the Pythagorean theorem

a2+b2=c2

12^2+5^2=169

the square root of 169 will be 13

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , thus

y = 3x + c ← is the partial equation

To find c substitute (1, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of line

Answer:

Step-by-step explanation:

889

Answer:

15 feet

Step-by-step explanation:

Since, it's a right triangle, we will use the Pythagorean theorem formula:

[tex]a^2+b^2=c^2[/tex]

a and b are the straight sides and c is the ladder (hypotenuse).

[tex](8)^2+b^2=(17)^2[/tex]

Solve for [tex]x[/tex]:

[tex]64+b^2=289[/tex]

[tex]b^2=225[/tex]

[tex]\sqrt{b^2} =\sqrt{225}[/tex]

[tex]b=15[/tex]

The distance between the ground and the top of the ladder is 25 feet.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.

Given:

Hypotenuse= 17 foot

Base = 8 feet

Now, using pythagoras theorem

H² = P² + B²

17² = P² + 8²

289 - 64 = P²

P= √225

P= 25 foot

Hence, the distance between the ground and the top of the ladder is 25 feet.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ5

Answer:

1075 ft^2

Step-by-step explanation:

The figure shows two rectangles. In order to get the two areas, we should be able to find the area of each and add them together.

The formula of the area of the rectangle = L * W

First rectangle [tex]= 25 * 8[/tex] = 200

Second rectangle =  25 * 35 = 875

Adding them together would yield 1075 sq ft.

Hope this helps

Exactly one solution means the quadratic is a perfect square, so the usual two solutions coincide.  When we have repeated roots that means the discriminant is zero.

Answer: 0

Answer:

0

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

It's true by the transitive property of equality which is

If A=B and B=C then A=C

Answer:

4 rides

Step-by-step explanation:

Total amount = $21.50

Entry charge = $20.50

Amount left = $21.50 - 20.50 = $1

Number of rides

[tex]r = \frac{1}{0.25} = \frac{100}{25} = 4 \\ [/tex]

Another way:

[tex] 0.25\:r + 20.50 = 21.50\\

0.25\:r = 21.50 - 20.50\\

0.25\:r = 1\\

r = \frac{1}{0.25}\\

r = \frac{100}{25}\\

r = 4\\[/tex]

Answer:

x-intercept=-74

Step-by-step explanation:

for x-intercept (y=0)

y=83x+9

0=83x+9

-83x=-0+9

-83x=9

x=9/-83

x=-0.1

Answer:

x = -27/8

Step-by-step explanation:

y = [tex]\frac{8}{3} x + 9[/tex]

to find x intercept let y = 0 then solve for x

0 = [tex]\frac{8}{3} x + 9[/tex]

-9 = [tex]\frac{8}{3} x[/tex]

divide both sides by 3

-9x3 = 8x

-27 = 8x

8x = -27

x = -27/8

Answer:you still on it ?

Step-by-step explanation:

Answer:

i say 2

Step-by-step explanation:

i may be wrong

sorry:(

Answer:

Its 2  I think

Answer:

see explanation

Step-by-step explanation:

Differentiate [tex]\frac{4-x}{x}[/tex] using the quotient rule, given

y = [tex]\frac{f(x)}{g(x)}[/tex] , then

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{g(x)f'(x)-f(x)g'(x)}{g(x)^2}[/tex]

Here f(x) = 4 - x ⇒ f'(x) = - 1

g(x) = x ⇒ g'(x) = 1 , thus

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{-x-(4-x)}{x^2}[/tex] = [tex]\frac{-x-4+x}{x^2}[/tex] = - [tex]\frac{4}{x^2}[/tex]

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

Given

y = 3x² + [tex]\frac{4-x}{x}[/tex], then

[tex]\frac{dy}{dx}[/tex] = 6x - [tex]\frac{4}{x^2}[/tex] ← evaluate for x = 2

[tex]\frac{dy}{dx}[/tex] = 6(2) - [tex]\frac{4}{4}[/tex] = 12 - 1 = 11 ← as required

Let me know if you require assistance on (b) and (c)

Hello there!

Mean is the average of a set of numbers.

To find the mean, we have to add all the numbers and divide by how many there are.

Add: 68 + 55 + 72  

Equals: 195

However, we have to find the mean of the 3 rounds in the 4th fight.

Add: 55 + 42 + 40

Equals: 137

Then, we divide it by 3.

Equals: 45.7

Next, add it to 195 since it was of 3 separate fights.

195 + 45.7 = 242.5

Lastly, divide it by 6 since there were 6 numbers in the data set.

Divide: 242.5/6

Equals: 40.42

Therefore, our mean for the 4 fights is 40.42 or 40.

There's another answer that we can get by simply adding up all the numbers and dividing it by 6.

Add: 68 + 55 + 72 + 55 + 42 + 40

Equals: 332

Then, we divide by 6.

Divide: 332/6

Equals: 55.33

So, yeah 55.33 would be the better mean then 40 since 40 makes it seem very low.

Answer:

Mean x¯¯¯ 55.333333333333

Median x˜ 55

Mode 55

Range 32

Minimum 40

Maximum 72

Count n 6

Sum 332

Step-by-step explanation:

All you have to do is add all the number together and divide.

Also i put more info encase you need it

hope this helps!:)

Answer:

e = a

f = c

Angles a, b and c add up to 180°

Angles a, f and b also add up to 180°

Answer:

the answer is the fourth row

Answer:

hi! the answer is row four.

Step-by-step explanation:

it contains 14, 7, 2, -7, and -14

14 and -14 are opposite integers

&

7 and -7 are opposite integers

so, the row that has opposite integers would be row four.

Answer:

Step-by-step explanation:

from left to right

1. 2400+280=2680

second row

2.540+63=603

third row

2940+343       =3283

top to bottom last row

2680

  +

603

=3283

=

Answer:

D No. as there are only 12 bolts longer than 1inch.

Mr. Slivka needs 16 bolts of greater than 1 measure, and there are only 12.

Step-by-step explanation:

We cannot include 1 inch data as this is not over 1 inch like the 1inch 2/8 and 1inch 4/8 etc. the greater measures of over 1 inch count to 12.

We know they are greater as they do not have a negative sign next to the added fraction of 1 2/8 or 1 4/8.

Answer:

D

Step-by-step explanation:

I HAVE NONE

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex] and y- intercept c = - 4

2

The line y = [tex]\frac{2}{3}[/tex] x - 4

has slope m = [tex]\frac{2}{3}[/tex] → B

Answer:

11.slope intercept form:

y=2/3x-4

2. slope;

2/3

Step-by-step explanation:

1. make y the subject

2. =mx+c

m is the slope therefore 2/3 is the slope

Answer:

As we know:

A nickle is worth 5 cents.

A dime is worth 10 cents.

A quarter is worth 25 cents.

Here is what Robert had:

Number of nickles (a)

Number of dimes (b)

Number of quarters (c)

Here is assumption:

5a + 10b + 25c = 850

a = 3b

c = b + 10

=> 5(3b) + 10b + 25(b + 10) = 850

=> 50b + 250 = 850

=> 50b = 600

=> b = 600/50 = 12

=> a = 3b = 3 x 12 = 36

=> c = b + 10 = 12 + 10 = 22

=> Number of nickles: 36

=> Number of dimes: 12

=> Number of quarters: 22

Hope this helps!

:)

Answer:

-7y/3z

Step-by-step explanation:

When dividing fractions, we flip the second one so that we can multiply the 2 fractions. When we do this, we get 7y/6 * -2/z. When we multiply the numerators and denominators, we get -14y/6z. Simplifying (dividing the numerator and denominator by 2), we get -7y/3z.

Answer:

252 Miles

Step-by-step explanation:

180 divided by 5 = 36

36 x 7= 252 miles

Answer: Answer is B

Step-by-step explanation: I hope it help

;)

Answer:

It is y= -3x + 2

Step-by-step explanation:

If you plug the x value into the equation, it make sense.

y= -3 (2) + 2 is equal to -6 + 2 which is -4

and so on..

X is 10 so both angles are 29. This means that the other angles are 151 because the whole thing must add up to 360.

It's A, 1/5^9.

Ya take the two exponents, and subtract them. Now ya have 5^-9/5.

Since we can't have a negative exponent, we put it on the bottom.

So we get the answer 1/5^9. Hope this helps!

Answer:

1/5^9

Step-by-step explanation:

5^-6 goes down and become 5^6

then 5^3 is times 5^6, when multiplying two same bases their power has to be added not multiplied. so 6 plus 3 is 9. the nine is the power.

the final answer is 1/5^9 or the first choice

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

-3x + 8 < 23

- 8 on both sides

-3x < 15

/ -3 on both sides

x > -5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

It is x > -5

Step-by-step explanation:

Equation: -3x + 8 < 23

First, we have to move the constant to the other side. By moving it to the other side, the sign also changes becoming -3x < 23 - 8.

Now we simplify: 23 - 8 becomes 15

New equation: -3x < 15

Finally, we want the X by itself, and to do that, we must divide -3 to both sides. Keep in mind that when we multiply or divide, the sign '<' also changes.

[tex]\frac{-3x}{-3}[/tex]<[tex]\frac{15}{-3}[/tex] = x > -5