What is the answer to the problem? 10 points :)

The value of x when y = 84 is 14

From the question,

The value of y varies directly with x

That is,

y ∝ x

Introducing the constant of proportionality, k

We get,

y = kx

Also, from the question

If x = 3, then y = 18

Putting these values into the equation, we can determine the value of k

[tex]y = kx[/tex]

[tex]18 = k \times 3[/tex]

Now, divide both sides by 3

[tex]\frac{18}{3}=\frac{k \times 3}{3}[/tex]

[tex]6 = k[/tex]

∴ k = 6

Now, to determine the value of x when y = 84

We will put y = 84 and the value of k =6 into the equation

[tex]y = kx[/tex]

[tex]84 = 6 x[/tex]

Divide both sides by 6

[tex]\frac{84}{6} = \frac{6x}{6}[/tex]

[tex]14 = x[/tex]

∴ [tex]x = 14[/tex]

Hence, the value of x when y = 84 is 14

Learn more here: https://brainly.com/question/17531464

Answer:

$190

Step-by-step explanation:

Let's call the original price of the jacket "x".

If the new cost of the jacket is $87, we can represent this as x/2-8=87. By solving for x, we see that the original price of the jacket is $190

Answer:

I think the answer would be 182

Step-by-step explanation:

87x2= 174

174+8= 182

The rate of change is 3/4.

The rise is 3 and the run is 4.

Slope, or rate of change, is rise/run.

So, you get 3/4.

Answer: The answer would be 3/4!

Step-by-step explanation:

Answer:

left

domain -7 =<x< 10

range -8 to 5

right

domain -7<x<=9

range -7<Y<=5

Answer:

7:35 P.M.

Step-by-step explanation:

Answer:

7:35 PM

Step-by-step explanation:

8:00-25 minutes

Answer:

winner : 16 million

runner up : 6 million

Step-by-step explanation:

half of 16 is 8, and 2 less is 6. 6 + 16 = 22

Answer:

6,350

Step-by-step explanation:

254 times 25 is 6,350

Answer:

6350 Papers

Step-by-step explanation:

254 x 2 = 508

508 x 10 = 5080

(This is basically 254 x 20)

254 / 2 = 127

127 x 10 = 1270

(This is basically 254 x 5)

5080 + 1270 = 6350

Answer:

12:3

Step-by-step explanation:

The first thing you should do for this case is to graph the data you have in the statement to see the relationship between grapes and blueberries.

The function represented by the table is

y = 0.25x

Then, as Mandie is making 15 glasses of fruit salad, we have:

y + x = 15

We have two equations and two unknowns that we must solve.

y = 0.25x

y + x = 15

Resolving

For x:

0.25x + x = 15

1.25x = 15

x = 15 / 1.25 = 12

For y:

y = 0.25x = 0.25 (12) = 3

Answer

The ratio of grapes to blueberries she should use is 12: 3

( not my answer )

Answer:

[tex]x=\pm \sqrt{21}/7[/tex]

Step-by-step explanation:

We can add 9 to both sides of the equation to get [tex]21x^2=9[/tex].

We can divide both sides of the equation by 21 to get [tex]x^2=9/21[/tex].

We take the square root of both sides of the equation to get [tex]x=\pm \sqrt{9/21}[/tex].

However, that isn't in the form we need.

We know that [tex]\sqrt{9/21}=\sqrt{9}/\sqrt{21}=3/\sqrt{21}=3\sqrt{21}/(\sqrt{21}*\sqrt{21})=3\sqrt{21}/21=\sqrt{21}/7[/tex]

so the answer is really [tex]x=\pm \sqrt{21}/7[/tex] and we're done!

Answer:

Alice = 5

Bruce = 9

Chuck = 13

Step-by-step explanation:

alice= x

Bruce = y

Chuck = z

x+y+z= 27

x+y= 14

therefore z= 27-14= 13

Chuck = 13

y+13 (z) = 22

therefore y = 22-13= 9

Bruce = 9

9+13= 22

therefore x= 27 - 22= 5

Alice = 5

confirmation

5 + 9 + 13 = 27

5+9= 14

9 + 13 = 22

Each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.

Given that,

Based on the above information, the calculation is as follows:

x + y + z =  27

x + y =  14

So,

z =  27 - 14

= 13

i.e. Chuck = 13

Now  

y + 13 (z) = 22

So,

y = 22 - 13

= 9

i.e. Bruce = 9

Now

9+13= 22

So,

x = 27 - 22

= 5

i.e. Alice = 5

Therefore we can conclude that each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.

Learn more: brainly.com/question/17767374

Answer:

4x - 7

Step-by-step explanation:

To evaluate f(g(x)) substitute x = g(x) into f(x)

f(g(x)

= f(4x - 2)

= 4x - 2 - 5

= 4x - 7

Answer:

0.5

Step-by-step explanation:

1 divided by 2

= 0.5

Answer:

0.5

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

there are 4 1/4 servings in one cup

there are 4 cups so 4×4

Answer:

The answer of this would be 4.

Step-by-step explanation:

1/4 + 1/4 + 1/4 + 1/4 = 4

Answer:

-5 + 9 i

Step-by-step explanation:

Hope this helps :)

Answer:

It lets me add one now! The answer is 3.75

Step-by-step explanation:

1/4 of a unit is 25%

When converted to a decimal, 25% = .25

4 - .25 = 3.75

We can check this by using reversive property:

4 - .25 = 3.75

3.75 + .25 = 4

Answer:

40%

Step-by-step explanation:

multiply the fraction by a hundred and the answer will have units of percent.

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Solution ~

Question : 1

Question : 2

Question : 3

Question : 4

3 is repeating after decimal.

Question 5 :

23 is repeating after decimal.

Answer:

（4x＋2）*2＋（6x）*2＝84feet

8x＋12x＋2＝84

20x＋2＝84

20x＝82

x＝4.1

18.4*24.6＝452.64

ans：452.64

Answer:

455 miles and 490 miles.

Step-by-step explanation:

You multiply each rate of speed (miles) by how much time they give.

Answer:

-4 - 52 i

Step-by-step explanation:

Hope this helps :)

The machines represent equivalent expressions.

The output produced by both machines is 372

The equation represented on machine A is:

[tex]\mathbf{y = 2(5x + 3) - 24}[/tex]

The equation represented on machine B is:

[tex]\mathbf{y = 4(2(x + 11) - 7)}[/tex]

Where: x and y represent the inputs and the outputs, respectively

When the outputs are the same, it means:

[tex]\mathbf{y = y}[/tex]

So, we have:

[tex]\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}[/tex]

Open brackets

[tex]\mathbf{10x + 6 - 24 = 8x + 88 - 28}[/tex]

[tex]\mathbf{10x - 18 = 8x + 60}[/tex]

Collect like terms

[tex]\mathbf{10x - 8x = 18 + 60}[/tex]

[tex]\mathbf{2x = 78 }[/tex]

Divide both sides by 2

[tex]\mathbf{x = 39 }[/tex]

Substitute 39 for x in [tex]\mathbf{y = 2(5x + 3) - 24}[/tex]

[tex]\mathbf{y = 2 \times (5 \times 39 + 3) - 24}[/tex]

[tex]\mathbf{y = 372}[/tex]

Hence, the output produced by both machines is 372

Read more about equivalent expressions at:

https://brainly.com/question/15715866

The number of pages the student can read in a minute is an illustration of rates.

The time left to complete the whole book is 90 minutes

From the complete question, the student's rate is:

[tex]\mathbf{Rate = 50\ pages/hr}[/tex]

The number of pages is:

[tex]\mathbf{Total = 100\ pages}[/tex]

First, we calculate the time to read the whole book

[tex]\mathbf{Total\ Time = \frac{Total\ pages}{Rate}}[/tex]

[tex]\mathbf{Total\ Time = \frac{100\ pages}{50\ pages/ hr}}[/tex]

[tex]\mathbf{Total\ Time = 2\ hours}[/tex]

The number of the student has read is:

[tex]\mathbf{Pages = 25}[/tex]

Next, we calculate the time spent on the 25 pages

[tex]\mathbf{Time\ Spent = \frac{Pages}{Rate}}[/tex]

[tex]\mathbf{Time\ Spent = \frac{25\ pages}{50\ pages/hr}}[/tex]

[tex]\mathbf{Time\ Spent = 0.5\ hr}[/tex]

Convert to minutes

[tex]\mathbf{Time\ Spent = 30\ minutes}[/tex]

So, the time left is:

[tex]\mathbf{Time\ Left = Total\ Time - Time\ Spent}[/tex]

This gives

[tex]\mathbf{Time\ Left = 2\ hours- 30\ minutes}[/tex]

[tex]\mathbf{Time\ Left = 1\ hour, 30\ minutes}[/tex]

Convert to minutes

[tex]\mathbf{Time\ Left = 90\ minutes}[/tex]

Hence, the time left is 90 minutes

Read more about rates at:

https://brainly.com/question/18065083

hgjjvbhkml

Step-by-step explanation:

Answer:

1767

Step-by-step explanation:

Answer:

it looks like it is 135 degrees

Step-by-step explanation:

Tell me if I am wrong sorry if I am also mark me brainliest if I am right

Answer:

Simplified to lowest possible would be [tex]\frac{x +2}{x^{2} + 2}[/tex]

Step-by-step explanation:

Answer:

should be 36 inches

Step-by-step explanation: