Solve for x: 3x − 24 = 81

fifty-seven over three
one hundred five over three
57
105

Let's use the point-slope formula to write the equation of this line.

The point-slope formula is y - y₁ = m(x - x₁).

In the formula, x₁ and y₁ are points and the m is our slope

Now let's substitute.

y + 2 = -3/2(x - 6).

Notice that I put y + 2 above since y - (-2) means y + 2.

Now distribute the -3/2 through the parentheses.

This gives us -3/2x + 9.

Bring down your y + 2 and we have y + 2 = -3/2x + 9.

To put this in standard form, we need to multiply both

sides by 2 because we can't have any fractions.

This gives us 2y + 4 = -3x + 18.

Now move the +4 to the right by subtracting

4 from each side to get 2y = -3x + 14.

Now move your x term to the right by adding 3x to both sides.

So our final answer reads 3x + 2y = 14.

Answer with step-by-step explanation:

First, we have to find out how much paint Kevin used. We can write the equation as the following; 5/1 × 7/8 = 4 3/8. Now, we divide 4 3/8 by 4 to calculate how much paint will be used for each wall. 4 3/8 ÷ 4 = 35/32. So to finalize, Kevin used 35/32 gallons to paint each wall.

Hope this helped! (brainliest please)

Answer:

1 3/32 gallons

Step-by-step explanation:

This is 35/32 simplified which 35/32 simplified is the real answer!

Hope this helped :)

Answer:

$135

Step-by-step explanation:

first divide 36 by 8

gives you how much you earn for one hour

36/8=4.5

then multiply

4.5 by amount of hours worked

so 4.5*30=135

The amount of money earned on a job for 30 hours is $135.

The amount of money earned on a job is directly proportional to the number of hours worked.

The amount of money earned for 8 hours of work is $36.

We need to determine the amount earned for 30 hours of work.

Let us determine the amount earned per hour.

Thus,

[tex]\begin{aligned}8\;\rm{Hours \;of\;work}&=\$36\\1\;\rm{Hour \;of\;work}&=\$\dfrac{36}{8}\\&=\$4.5 \end{aligned}[/tex]

Therefore, the amount earned per hour is $4.5.

Now, multiply by 30 to get the amount earned for 30 hours.

Thus, the amount of money earned on a job for 30 hours is $135.

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Answer:

They would produce 14,400 packages of zetsy and the regular profit making would be $11,340.

Step-by-step explanation:

12-ounce

regular = 65%

mild = 35%

extra sharp zesty blend = 75%

extra sharp mild = 25%

8,100 mild for = $1.30

3,500 extra sharp = $1.50

cost blend and package = $0.30

regular sold = $1.8

zesty = $2.10

first we calculate the cost of each product

conversion Of  ounces to pounds:

1 pound = 16 ounces

regular cost:

12/16 pounds x 65% mild x $1.30

= 0.63375

12/16 pounds x 35% sharp x $1.50

= 0.39375‬

+ blend and package $0.30

total = $1.3275‬

contribution: $1.8 – $1.3275

= $0,4725‬

zesty cost:

12/16 pounds x 75% mild x $1.30

= 0.73125‬

12/16 pounds x 25% sharp x $1.50

= 0.28125‬

+ blend and package 0.30

total $1,3125‬

contribution: $2.10 – $1.3125

= $0,7875‬

to maximize profit:

profit = $0.4725Regular + $0.7875zetzy

adding the  constraint:

mild = Regular x $0.4775 + Zetzy x $0.5625 = 8,100

and

sharp = Regular x $0.2625 + Zetzy x $0.1875 = 3,100

contribution generated by each product/pound:

                                 Regular        Zesty

CM                          $ 0.47250 $ 0.47250

Constrain resource

( pounds of mild)         0.48750 0.56250

CM per constrain        $ 0.9692 $ 1.4000

Constrain resource

( pounds of sharp)         0.26250 0.18750

CM per constrain           $ 1.80      $ 4.20

As zesty is better we produce as much as we can:

8,100 pounts / 0.5625 per cheese spreads: 14,400

check for possibilities of other constraint:

14,400 zesty packages x 0.1875 pounds each = 2,700 pounds

because it’s possible we only produce zetsy

profit = $0.4725 (0) + $0.7875 (14,400)

profit =  $ 11,340

Answer:

i forget how to get it :)

Step-by-step explanation:

Answer: B

Step-by-step explanation: logical answer but if its nit right my bad

Answer:d

Step-by-step explanation: d

Answer:

You havent gaven enough information for me to solve the question, do i just freely pick how much magazine ads and tv ads i want until i get to 9k, im very confused

Step-by-step explanation:

Answer:

C is the correct answer

Answer:

The answer is 7

Step-by-step explanation:

Answer:

7 marbles

Step-by-step explanation:

You would put five first because that's how much marbles pete had and for jay you just add a 2.

5+2=7

Hope this helps:)

Answer:

81,000,000

Step-by-step explanation:

(3²)² × (10³)²

(9)² × (1000)²

81 × 1000000

81,000,000

Answer:

1000081

Step-by-step explanation:

=3^6+10^6

=81+1,000,000

Answer:

(2, 1 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (7, 3) and (x₂, y₂ ) = (- 3, - 1) , then

midpoint = ( [tex]\frac{7-3}{2}[/tex], [tex]\frac{3-1}{2}[/tex] ) = ( [tex]\frac{4}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (2, 1 )

Answer:

3864

7*24=168

168*23=3864

Step-by-step explanation:

Based on the number of weeks that Lorena's baby brother has aged, in hours, the baby is 3,864 hours.

Lorena's baby brother is 23 weeks old.

First find out the number of hours in a week:

= Number of hours in day x number of days in week

= 24 x 7

= 168 hours

In 23 weeks, the baby brother would be:

= 168 x 23 weeks

= 3,864 hours

In conclusion, her brother is 3,864 hours old.

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Answer:

11 units

Step-by-step explanation:

-3-1 = -4 = 4

8-1=7

4+7 = 11

Answer:

C - x=4

Step-by-step explanation:

The formula is a^2+b^2=c^2

Answer:

μx = 17

σx = 2.2

Step-by-step explanation:

See attachment for full question.

Given:

μ = 17

σ = 22

[tex]n = 100\σ = 22[/tex]

Required

Determine (i) μx and  (ii) σx

Solving (i): μx

The mean of a sample means is calculated as thus:

μx = μ

Hence:

μx = 17

Solving (ii): σx

σx = σ/√n

So, we have:

σx = 22/√100

σx = 22/10

σx = 2.2

Answer:

send me your disc ill help

Step-by-step explanation:

Answer:

I got you, 81 = 97 or 81, is a rational number.

Step-by-step explanation:

A rational number, denoted by Q is a number which can be written in the form. 81 can be expressed as 811 where both 81 and 1 are integers.

Step-by-step explanation:

The nest is at 2.6 m, and the dwelling is at -14 m.  So the vertical distance is:

2.6 m − (-14 m) = 16.6 m

Answer:

seventy-three

Step-by-step explanation:

Answer:

m∠EHG = 68

Step-by-step explanation:

If the two ancient step pyramids are congruent,

ABCD ≅ EFGH

All the angles and sides of the two pyramids will be congruent.

By the property of congruence,

Base angles of both the pyramids will be congruent.

m∠ADC = m∠EHG = 68°

Therefore, m∠EHG = 68 will be the answer.

Answer:

Step-by-step explanation:

Answer:

the answer is 0 when you lose nine yards you are at -9 then you gain 3 on each of the next 3 plays so that is 9-9= 0

Step-by-step explanation:

Answer:

Dimensions are 2 and 4

Step-by-step explanation:

Area= a*b=8

Perimeter=2(a+b)=12 => a+b = 12/2. a+b = 6

a+b=6 =>a=6-b

If a=2=>b=4 so 4+2=6 , 4*2=8 and 4*2+2*2=12

If a=4=>b=2 so 4+2=6 , 4*2=8 and 4*2+2*2=12

Dimensions are 2 and 4

The possible dimensions of the table are -

L = 2, B = 4.

or

L = 4, B = 2.

Given is a rectangular table top has an area of 8 ft and a perimeter of 12 ft.

Let the dimensions of the rectangular table be {x} ft and {y} ft respectively.

We can write -

xy = 8                               ....... Eq(1)

2(x + y) = 12

x + y = 6                                 ....... Eq(2)

y = (6 - x)

Then, we can write -

x(6 - x) = 8

- x² + 6x = 8

x² - 6x + 8 = 0

(x - 2)(x - 4) = 0

We get -

x = 2 and x = 4

Now,

For x = 2, y = 4.

For x = 4, y = 2.

Therefore, the possible dimensions of the table are -

L = 2, B = 4.

or

L = 4, B = 2.

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Answer:

Amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.

Step-by-step explanation:

Answer:

672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

Step-by-step explanation:

No. of customers pass the display on the day of sale = 1462

Proportion of people will purchase if pass such a special display = 0.43

Mean = E(X)=np

E(X)=[tex]1462 \times 0.43[/tex]

E(X)=628.66

Standard deviation = [tex]\sqrt{npq}[/tex]

Standard deviation =[tex]\sqrt{1462 \times 0.43 \times (1-0.43)}=18.92[/tex]

Now we are supposed to find how many units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

P(X<x)=0.01

Using z table

[tex]P(\frac{x-\mu}{\sigma})= 2.33 \\\frac{x-628.66}{18.92}=2.33\\x=(2.33 \times 18.92)+628.66\\x=672.7436[/tex]

Hence 672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

The number of units should be 672.7436 units.

Since No. of customers pass the display on the day of sale is 1462 and the proportion of people who will purchase if pass such a special display is 0.43

So,

Mean should be = 43% of 1,462

= 628.66

Now the standard deviation should be

[tex]= \sqrt{1462 \times 0.43 \times (1-0.43)}[/tex]

= 18.92

Now the number of units should be

[tex]x - 628.66 \div 18.92 = 2.33[/tex]

x = 672.7436

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Answer:

10^2

Step-by-step explanation:

Answer:

10²

Step-by-step explanation:

There are 2 "10's" being multiplied.

Answer:

13/2

Step-by-step explanation:

you do 6*2=12+1=13 which gives ya 13/2

you keep the denominator