if EF = 8x + 16, FG = 60, and eg = 156, find the value of x​

The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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Answer: 8 leaves per type of leaf

Step-by-step explanation:

56/7 = 8 leaves per type of leaf.

Answer:

8

Step-by-step explanation:

56/7 = 8

The most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year. Option B

Based on the given equation y = 195(1.10)^x, where x represents the number of years since 2005 and y represents the number of Salad Supreme restaurants, we can draw the following conclusions:

A. Salad Supreme had 110 restaurants in 2005: This conclusion is not supported by the given equation.

B. Salad Supreme is increasing the number of restaurants by 10% each year: This conclusion is supported by the equation.

C. Salad Supreme is increasing the number of restaurants by 195 each year: This conclusion is not supported by the equation.

D. Salad Supreme is increasing the number of restaurants by 110% each year: This conclusion is not supported by the equation. The growth factor of 1.10 (or 10%) indicates a 10% increase each year, not 110%.

Therefore, the most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year.

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Answer:

11331 non fiction books

Step-by-step explanation:

Given :

Total books = 67982

Childrens section = 1/3 of total

Number of children's books :

(1/3 * 67982) = 22660 books (approximately)

Books left :

67982 - 22660 = 45,322 books

Fiction books:

75% of remaining

0.75 * 45322

33991.5

= 33991 books

If the only section left is non - fiction, then

Non - fiction books = (45322 - 33991) = 11331

Answer:

sorry is i m wrong hope this will help you

Step-by-step explanation:

z²-12z+24=0

z²-6x-6z+36-12=0

z(z-6)-6(z-6)-12=0

(z-6)(z-6-12)=0

(z-6)(z-18)=0

either

z-6=0

z=6

or

z-18=0

z=18

With equipment cost $1700 and material of each shirt $6.82 with selling target of 500 shirts , to recoup his equipment costs ,

a. His contribution margin is $5110=5110cents

b. Selling price of each shirt is $10.22=10.22cent

As given,

Equipment cost=$1700

Cost of each shirt material=$6.82

Estimated sell of number of shirt=500

a. Total contribution margin to achieve recoup equipment cost

=$1700 +$(6.82 ×500)

=$5110

=5110cents

b. Let x be selling price of each shirt

500x=5110

⇒x=5110/500

    =$10.22

    =10.22cents

Therefore, with equipment cost $1700 and material of each shirt $6.82 with selling target of 500 shirts , to recoup his equipment costs ,

a. His contribution margin is $5110=5110cents

b. Selling price of each shirt is $10.22=10.22cent

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Answer:

Option C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It has 2 lines that mirror each other and they never touch no matter how long it is.

Answer:

Wages

Step-by-step explanation:

Answer:

2. Wages

4. Allowance

Step-by-step explanation:

very simple question I wish I saw this earlier so I could help. Can I please get brainliest.

尺蛾翅蛾。(thank you.)

9514 1404 393

Answer:

Step-by-step explanation:

The sum of torques about the pivot point is zero when the system is in equilibrium. That means the total of clockwise torques is equal to the total of counterclockwise torques. For this purpose, torque can be modeled by the product of mass and its distance from the pivot. The uniform beam can be modeled as a point mass at its center.

__

a) Let E represent the location of the center of mass of the beam. So, AE = 1.5 m. Then the distance from C to E is AC-AE = AC -1.5 and the CCW torque due to the beam's mass is (16 kg)(AC -1.5 m).

The distance from B to C is 3 m - AC, so the CW torque due to the particle at B is (7 kg)(3 -AC m)

These are equal, so we have ...

  16(AC -1.5) = 7(3 -AC)

  16AC -24 = 21 -7AC . . . . . eliminate parentheses

  23AC = 45 . . . . . . . . . . . add 7AC+24

  AC = 45/23 ≈ 1.957 . . divide by the coefficient of AC

  AC ≈ 2.0 meters . . . . rounded to 1 dp

__

b) The torques in this scenario are ...

  M(0.7) = 16(0.8) +7(2.3) . . . . . . AD = 0.7 m, DE = 0.8 m, DB = 2.3 m

  M = 28.9/0.7 ≈ 41.286 . . . . simplify, divide by the coefficient of M

  M = 41.3 kg . . . . rounded to 1 dp

_____

Additional comment

Torque is actually the product of force and distance from the pivot. Here, the forces are all downward, and due to the acceleration of gravity. The gravitational constant multiplies each mass, so there is no harm in dividing the equation by that constant, leaving the sum of products of mass and distance.

Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

Reflection about the y axis followed by a translation left by 2 units.

Step-by-step explanation:

There is the answer. ^

Answer:

Yes.

Step-by-step explanation:

1+1=2

3+5=8

7+1=8

9+23=32

5+13=18

An odd number is an even number plus 1, and 1 plus 1 is an even number. even numbers added together are also always even numbers, so two even numbers (in the second example it'd be 2+1 & 4+1, so 2 and 4) plus an even number(1+1=2) must be an even number.

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

The given sequence is an arithmetic sequence and the common difference is 4.

Given, the sequence is :

3,12,48

we need to determine the common difference.

common ratio = a₂/a₁

a₂/a₁ = 12/3

a₂/a₁ = 4

a₃/a₂ = 48/12

a₃/a₂ = 4

hence the common difference is 4.

Therefore, the common difference indicates arithmetic sequence.

There are two approaches to define an arithmetic sequence. It is a "series where the differences between every two succeeding terms are the identical" (or) In an arithmetic sequence, "each term is obtained by adding a fixed number (positive or negative or zero) to its preceding term."

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Answer:

Step-by-step explanation:

1/18 x 10.8 = 0.6 meters

The model of the boats' length is 0.6 meters.

Answer:

arithmitic

Step-by-step explanation:

3 pounds of grapes she buy grapes in the market.

A division is a process of splitting a specific amount into equal parts.

Given that each pound of grapes cost 0.85.

Clarissa buys grapes and pays a total of 2.55.

We have to find the number of pounds of grapes does she buy.

To find this we have to divide 2.55 by 0.85.

Two point five five by zero point eight five.

2.55/0.85

3 pounds of grapes.

Hence, 3 pounds of grapes she buy grapes in the market.

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Answer: Jordan is sad about how the story ends

Step-by-step explanation:

The story is sad

Jordans POV

Answer: 36

Step-by-step explanation:

Then you can state that angle DEF is congruent to angle GHJ.

The postulate or theorem that allows you to state that angle DEF is congruent to angle GHJ is the Angle-Angle (AA) Postulate.

This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles must also be congruent.

In this case, if you have two triangles, one with angles DEF and the other with angles GHJ, and

you know that angle D is congruent to angle G and angle E is congruent to angle H, then by the AA Postulate, you can conclude that angle F is congruent to angle J.

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It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount

P = Principal amount (initial deposit)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.

We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.

Let's substitute the given values into the formula and solve for t:

56,398.43 = 500(1 + 0.06/2)^(2t)

Divide both sides by 500:

112.79686 = (1 + 0.03)^(2t)

Take the natural logarithm of both sides to eliminate the exponent:

ln(112.79686) = ln(1.03)^(2t)

Using the property of logarithms, we can bring down the exponent:

ln(112.79686) = 2t * ln(1.03)

Now, divide both sides by 2 * ln(1.03):

t = ln(112.79686) / (2 * ln(1.03))

Using a calculator, we find t ≈ 17.12.

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The perimeter of the rectangle 24x + 1 feet. The perimeter of a geometric figure is the total length of its sides.

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

To find the perimeter of a rectangle, you need to add the lengths of all four sides of the rectangle.

The width of the rectangle is 4x-7.5 feet and the length is 7.5x+8 feet.

The perimeter is therefore equal to 2 times the sum of the width and the length,

= 2 * (4x-7.5 + 7.5x + 8) feet.

This simplifies to 2 * (12x + 0.5) feet,

which is equal to 24x + 1 feet.

The perimeter of the rectangle 24x + 1 feet

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Jane has 6 - 14 - 12 = -20 boxes of beads left.

Jane initially had 6 boxes of beads.

She used 14 of those boxes to make face mask holders and gave 12 boxes to her sister.

To find out how many boxes of beads she has left, we need to subtract the boxes used and given away from the initial number.

First, let's calculate the total number of boxes used and given away:

Total boxes used and given away = Boxes used for face mask holders + Boxes given to sister

Total boxes used and given away = 14 + 12

Total boxes used and given away = 26

Next, we can subtract the total boxes used and given away from the initial number of boxes Jane had:

Boxes left = Initial number of boxes - Total boxes used and given away

Boxes left = 6 - 26

Boxes left = -20

The result is -20, which implies that Jane has a deficit of 20 boxes of beads.

This means she doesn't have any boxes of beads left; she has a shortage of 20 boxes based on the activities she performed.

It's important to note that having a negative value indicates that Jane doesn't have enough boxes to fulfill her activities.

If the result were positive, it would represent the number of boxes remaining.

However, in this case, Jane has used and given away more boxes than she initially had, resulting in a negative value.

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Answer:

Step-by-step explanation:

Answer:

\(\tt -2x < 18\)

Multiply both sides by -1 to reverse the inequality:-

\(\tt \left(-2x\right)\left(-1\right) > 18\left(-1\right)\)

\(\tt 2x > -18\)

Now, divide both sides by 2:-

\(\tt \cfrac{2x}{2} > \cfrac{-18}{2}\)

\(\boxed{\tt x > -9}\)

Therefore, as we can see, x > -9, Kim most likely forgot to multiply/reverse the inequality.

___________________

Hope this helps!

The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).