90 is the product of five and Diego’s age use a variable D to represent Diego’s age

The value of x in the direct and indirect varoation is calculated as: x = 2.

If k is the constant of proportionality among two or more variables (x, y, z), a combined equation of direct and indirect variation is, z = kx/y, if z varies directly with x and indirectly with y.

With the information stated, we would have the following:

z = kx/y³

Find k, by plugging in the values of x, y, and z:

12 = k(8/2³)

12 = k(8/8)

12 = k

k = 12

Find x when y = 1 and z = 24:

24 = 12(x)/1³

24 = 12x

24/12 = x

x = 2.

Therefore, the value of x in the direct and indirect varoation is calculated as: x = 2.

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x = 6

Step-by-step explanation:

[tex]\sf3(x - 2) = 12 \\ \sf3x - 6 = 12 \\\sf3x = 12 + 6 \\ \sf3x = 18 \\ \sf \: x = \frac{18}{3} \\ \sf \: x = 6[/tex]

Answer: (negative solution): x=-2, (positive solution): x=6

Step-by-step explanation:

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Answer:

13 a) 12% prefer pumpkin pie

   b) 6.4% prefer pumpkin pie

   c) 80% did NOT prefer raspberry pie

   d) 235 people would be expected to say that their favorite pie is apple

       or blueberry.

14 a) 20% prefer Marlin

   b) 12% prefer Dolphins

   c) 48.33% prefer seahawks or sharks as their mascot.

   d) 116 students would be expected to say that their favorite mascot is a

       Penguin.

15 a) 20% prefer Science fiction

   b) 46 people would be expected to report mystery as their favorite

       genre.

   c) 810 people would be expected to report drama, history, or romance

       as their favorite genre.

Step-by-step explanation:

13.  *There are a total of 125 participants or customers.*

a) 15/125 = 0.12 = 12%

   12% prefer pumpkin pie

b) 8/125 = 0.064 = 6.4%

   6.4% prefer pumpkin pie

c) Since 25 people preferred raspberry pie. 125-25= 100 people did NOT prefer raspberry pie.

    100/125 = 0.8 = 80%

    80% did NOT prefer raspberry pie

d) Out of 600 people, how many would you expect to say their favorite pie is apple or blueberry?

   Apple: 35/125 = 0.28 = 28%

   Blueberry: 14/125 = 0.112 = 11.2%

If there were 600 people:

    Apple: 600*0.28 = 168

    Blueberry: 600 * 0.112 = 67.2 (there can't be a 0.2 of a    

                                                        person, so it's rounded to 67)

168 + 67 = 235

235 people would be expected to say that their favorite pie is apple or blueberry.

14. *There are a total of 60 students.*

a) 12/60 = 0.2 = 20%

   20% prefer Marlin

b) 14/60 = 0.12 = 12%

   12% prefer Dolphins

c) Seahawks: 9/60 = 0.15 = 15%

  Sharks: 20/60 = 0.33 = 33.33%%

   15% + 33.33% = 48.33% prefer seahawks or sharks as their mascot.

d) If there are 1,400 students in the school, how many would you expect to choose the Penguins as their favorite mascots.

   Penguins: 5/60 = 0.083 = 8.33%

If there were 1,400 students:

    Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 of a    

                                                        person, so it's rounded to 116)

116 students would be expected to say that their favorite mascot is a Penguin.

15. *There are a total of 75 people.*

a) 6/75 = 0.2 = 20%

   20% prefer Science fiction

b) Out of 500 people, how many would you expect to report mystery as their favorite genre?

   Mystery: 7/75 = 0.093 = 9.3%

If there were 500 people:

    Mystery: 500*0.093 = 46.5 (there can't be a 0.5 of a    

                                                        person, so it's rounded to 46)

46 people would be expected to report mystery as their favorite genre.

c) If there are 1,600 people, how many would you expect to report drama, history, or romance as their favorite genre?

   Drama: 16/75 = 0.2133= 21.33%

   History: 12/75 = 0.16 = 16%

   Romance: 10/75 = 0.1333 = 13.33%

If there were 1,600 students:

    Penguins: 1,400*0.083 = 116.2 (there can't be a 0.2 percent of a    

                                                        person, so it's rounded to 116)

   Drama: 1,600*0.2133 = 341.28 (there can't be a 0.28 of a    

                                                        person, so it's rounded to 341)

   History: 1,600*0.16 = 256

   Romance: 1,600*0.1333 = 213.28(there can't be a 0.28 percent of a    

                                                        person, so it's rounded to 213)

341 + 256 + 213 = 810

810 people would be expected to report drama, history, or romance as their favorite genre.

Hope this helps!

The exponential function with a growth factor has a rate greater than 1

The percentage growth rate is 276%

The growth factor (b) is given as:

b = 3.76

The growth factor (b) is greater than 1.

So, the percentage growth rate (r) is calculated as:

r = b - 1

Substitute known values

r = 3.76 - 1

Evaluate the difference

r = 2.76

Express as percentage

r = 276%

Hence, the percentage growth rate is 276%

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Answer:

10 large bags and 11 small bags because 10*9=90 and 156-90=66 and 6*11=66 so 90+66=156

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

EZ

Answer:

6 3 5 6 8 8

Step-by-step explanation:

number is farthest apart from others

Answer:

The correct answer is 90

Step-by-step explanation:

90 is the biggest number in the number set so therefore it is an outlier.

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

numbers are {3.46,3.47,3.48,3.49,3.50,3.51,3.52,3.53,3.54,3.55,3.56,3.57,3.58,3.59}

HEY if you remove it you will get a curse

Answer:

3/5

Step-by-step explanation:

3/5=6/10

3/5=60/100

Answer:

Suppose that we want to find the probability that when six consumers are randomly selected, actually three of them are comfortable with delivery by drones.

Step-by-step explanation:   hopes this helps you!

Answer:

6

Step-by-step explanation:

Divide the amount of eggs by the amount of people this gives you the amount of eggs needed for one person then times by 9

(4÷6) x9

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=−2

hope this is what your looking for

Answer:

x = -2

Step-by-step explanation:

[tex]-4+x=\frac{3}{4}x-\frac{9}{2}[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]-4+x+4=\frac{3}{4}x-\frac{9}{2}+4[/tex]

[tex]Simplify[/tex]

[tex]x=-\frac{1}{2}+\frac{3}{4}x[/tex]

[tex]\mathrm{Subtract\:}\frac{3}{4}x\mathrm{\:from\:both\:sides}[/tex]

[tex]x-\frac{3}{4}x=-\frac{1}{2}+\frac{3}{4}x-\frac{3}{4}x[/tex]

[tex]\frac{1}{4}x=-\frac{1}{2}[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]

[tex]4\cdot \frac{1}{4}x=4\left(-\frac{1}{2}\right)[/tex]

[tex]x=-2[/tex]

~lenvy~

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

For an equation in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex]. In this case, the axis of symmetry is the line [tex]x=8[/tex]

Answer:

Sticks of butter : 2

Number of cookies : 40

Step-by-step explanation:

Given that :You need 3 sticks of butter for every 24 giant cookies you bake.

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

Sticks of butter                    Number of cookies

 3                                           24

 x                                             16

5                                                 y

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

Let the unknown be x and y..

Since you need 3 sticks of butter for every 24 giant cookies you back

Then 24/3 = 8

Since the number of cookies is 16 then 16/8 = 2

Thus x = 2

Next for y.

Since you need 3 sticks of butter for every 24 giant cookies you back

Then 5 * 8 = 40

Thus, y = 40

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

Completed table below:

Sticks of butter                    Number of cookies

 3                                           24

 2                                             16

5                                                 40

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

~lenvy~

Answer:

See below ↓

Step-by-step explanation:

Given

Base rate

16 cookies

5 butter sticks

Answer:

(0,5)

Step-by-step explanation:

I'm really not sure but I'm pretty positive that this is the answer if not than my bad

Answer:

20% of 500, 20% of 100, 5% of 100

Step-by-step explanation:

20% of 100 = 20

20% of 500 = 100

5% of 100 = 5

Answer:

570 ft²

Step-by-step explanation:

Basically, you find the area of Juan and Matthew's gardens then add them up.  

First let's find the area of Juan's garden.

Area is equal to length times width ([tex]a = lw[/tex])

So you do 16 * 12 which equals 192.

Now let's find the area of Matthew's garden.

So you do 18 * 21 which equals 378.

Then you add up both areas.

192 + 378 = 570

Answer:

128 because formula is bh

Step-by-step explanation:

Answer:

En la Imagen adjunta

Step-by-step explanation:

Toca Para Abrir Imagen

Espero haberte ayudado si es así dame Corona

Answer:

One Solution

Step-by-step explanation:

Given:

6 + x/5 = x/5 - 5 - 3x/10

To Find:

How many solutions?

Solve:

[tex]6+\frac{x}{5}=\frac{x}{5}-5-\frac{3x}{10}[/tex]

[tex]\mathrm{Subtract\:}\frac{x}{5}\mathrm{\:from\:both\:sides}[/tex]

[tex]6+\frac{x}{5}-\frac{x}{5}=\frac{x}{5}-5-\frac{3x}{10}-\frac{x}{5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]6=-5-\frac{3x}{10}[/tex]

[tex]\mathrm{Add\:}5\mathrm{\:to\:both\:sides}[/tex]

[tex]-5-\frac{3x}{10}+5=6+5[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-\frac{3x}{10}=11[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]

[tex]10\left(-\frac{3x}{10}\right)=11\cdot \:10[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-3x=110[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]

[tex]\frac{-3x}{-3}=\frac{110}{-3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-\frac{110}{3}\;or\;\left(\mathrm{In \;Decimal\;form}:\quad x=-36.66666\dots \right)[/tex]

~lenvy~

Answer:

that would be the circumference of  the circle

= 2 pi  r

= 2 * pi * 2

=  6.28 feet   to 2 DP's.

Step-by-step explanation:

Answer:

6 ft

Step-by-step explanation:

Convert the unit of length. Round the answer to one decimal place if necessary. 180 cm ≈ _____ ft

[tex]Ft=\frac{cm}{30.48}\\\\Ft=\frac{180}{30.48}\\\\Ft=5.90551181\\\\Ft\approx 6[/tex]

180 cm ≈ 6 ft

Hope this helps!

Answer:

Amount Robert will pay back = $434.04

Step-by-step explanation:

Formula for interest is;

I = (P * R * T)/100

We are given;

P = $390

Rate = 18%

Time; T = 229 days = 229/365

Thus;

I = (390 * 18 * (229/365))/100

I = $44.04

Thus, total amount Mario will pay back = $390 + $44.04 = $434.04

Answer:

x-73

Step-by-step explanation:

Let x=Jose's height.  If it says "less than," then that is subtraction.  Since Jose's height is not defined, there is no specific number that can be used to describe "73 less than twice Jose's height," so I use the variable x, and then subtract 73.

The launching of the hot air balloon is from the ocean beach is an illustration of a projectile motion

The function is given as:

[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]

Differentiate

[tex]p'(x) =-\frac{4}{2500}x + 0.7[/tex]

Set to 0

[tex]-\frac{4}{2500}x + 0.7 = 0[/tex]

Subtract 0.7 from both sides

[tex]-\frac{4}{2500}x =- 0.7[/tex]

Multiply through by -2500/4

[tex]x =437.5[/tex]

Hence, the horizontal distance which a maximum height is attained is 437.5 meters

In (a), we have:

[tex]x =437.5[/tex]

Substitute [tex]x =437.5[/tex] in p(x)

[tex]p(437.5) =-\frac{2}{2500} * 437.5^2 + 0.7 * 437.5[/tex]

Evaluate

[tex]p(437.5) =153.125[/tex]

Hence, the maximum height above the sea level is 153.125 metres

In (b), the maximum height above the sea level is 153.125 metres

The ratio of the height on land and sea is given as:

Land : Sea = 2 m : 20 m

For the maximum height, we have:

Land : 153.125 m= 2 m : 20 m

Express as fraction

Land / 153.125 m = 2 /20

Multiply both sides by 153.125

Land = 15.3125

Approximate

Land = 15.3

Hence, the maximum height above the ground level is 15.3 meters

We have:

[tex]p(x) =-\frac{2}{2500}x^2 + 0.7x[/tex]

Substitute 50 for P(x)

[tex]-\frac{2}{2500}x^2 + 0.7x = 50[/tex]

Using a graphing calculator, we have:

x = 78.465 and 796.535

Hence, the horizontal distances where the balloon 50 m above the ground are 78.465 and 796.535 meters

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Answer:

54

Step-by-step explanation:

9x6=54

Answer:

the answer b

Step-by-step explanation:

te answer b because I guessed

Answer:

26,620

Step-by-step explanation:

1 year: 20,000 x 0.10 = 2000

2 years: 22,000 x 0.10 = 2200

3 years: 24200 x 0.10 = 2420

2420 + 24200 = 26620

Have an amazing day!!

Please rate and mark brainliest!!!!

Theres a button on the question taht you are wanting to answer. Sometimes it will allow one other times it is 2

Hello!

To solve this exercise, we must use the formula below:

[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]

Knowing these values, let's replace them in the formula to obtain r:

[tex]\mathrm{62.8=2\cdot\ 3.14\cdot r}\\\mathrm{62.8=6.28r}\\\mathrm{6.28r=62.8}\\\\\mathrm{r=\dfrac{62.8}{6.28}}\\\\\boxed{\mathrm{r=10}}[/tex]

So, the radius of this circle is 10cm.

Hope this helps!

The number of times that the clock was skipping every 30 minutes from Friday noon to Monday 6 pm is; 3 seconds

We know that from time conversion;

1 day = 24 hours

1 hour = 60 minutes = 2 × (30 minutes)

1 day = 24 hours × 2 × (30 minutes)

1 day = 48 × (30 minutes)

Thus, there are 48 times of 30-minutes in a day. However on Friday, we start counting at noon, which is half of the day.

Thus, on Monday, the mark is only up to 6 pm, which is three-fourths of the day. Thus;

Friday = 48 × (3/4)  = 24

Saturday = 48

Sunday = 48

Monday = 48 × (3/4)  = 36

Total times = 24 + 48 + 48 + 36 = 156

Thus, it means that there was 156 times of  30-minutes that have passed during the time period.

x = 468 seconds ÷ 156

x = 3 seconds  

Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.

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