22. model each situation below with an equation. select the correct equation for each situation. then solve each problem. A company employs 72 workers. it plans to increase the number of employees by 6 per month until it has twice its current workforce. how many months will it take to double the number of employees?

Answer:

85.5 feet tall

Step-by-step explanation:

2.5(33)+3

82.5+3

85.5

Answer: The answer is 4.

Explanation: It is 4 because if you add 2 plus 2 you will get 4. Or if you put 2 sets of 2 it also equals 4.

Answer:

she gave away 14 I think.

If you mean Lilly she had 2 left

1/8 tomatoes left

Step-by-step explanation:

1/8=2 1/2=8 1/4=4. 2+8+4=14

Answer:

5kg

Step-by-step explanation:

Step 1.

Write in y=mx+c format

m= $/kg

c=flat fee

x=additional kilograms

FedEx:

y=2x+15

USPS:

y=5x

Step 2.

Keep Changing the x value (the no. of kilograms) in both equations until y is the same number

y=5×5

=25

y=2×5+15

=25

∴It would cost the same for both options at 5kg

Answer:

5kg

Step-by-step explanation:

Step 1.

Write in y=mx+c format

m= $/kg

c=flat fee

x=additional kilograms

FedEx:

y=2x+15

USPS:

y=5x

Step 2.

Keep Changing the x value (the no. of kilograms) in both equations until y is the same number

y=5×5

=25

y=2×5+15

=25

∴It would cost the same for both options at 5kg

Answer: 134.9

Step-by-step explanation: Simplify the expression.

Hope this helps you out!

Answer:

Therefore,

[tex]PR=10\ unit[/tex]

Step-by-step explanation:

Given:

PR = 2x

RQ = 25

Say M divide PQ such that

PM = 6

MQ = 3x

∠PRM ≅ ∠QRM

RM is the angle Bisector of angle PRQ

To Find:

PR = ?

Solution:

Angle Bisector Theorem:

The angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle.

It equates their relative lengths to the relative lengths of the other two sides of the triangle.

Here RM is the angle Bisector of angle PRQ

Therefore,

[tex]\dfrac{PR}{RQ}=\dfrac{PM}{MQ}[/tex] ...Angle Bisector Theorem.

Substituting the values we get

[tex]\dfrac{2x}{25}=\dfrac{6}{3x}\\\\x^{2}=25\\Square\ Rooting\\x=\pm\sqrt{25}\\x=5[/tex]

As x cannot be negative x =5

Substituting x value in PR we get

[tex]PR=2\times 5=10\ unit[/tex]

Therefore,

[tex]PR=10\ unit[/tex]

Answer:

x = ± 15

Step-by-step explanation:

Given

x² = 225 ( take the square root of both sides )

x = ± [tex]\sqrt{225}[/tex] = ± 15

That is x = - 15 0r x = 15

Answer:

Step-by-step explanation:

X² = 225

Finding the square root of both side

√X² = √225

X = 15 or -15

24p² + pq - 23q² =

= 24p² + 24pq - 23pq - 23q²

= 24p(p + q) - 23q(p + q)

= (p + q)(24p - 23q)

The required factorization of the given expression is given as  (24p - 23q)(p + q).

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Given expression in the quesiton is 24p2 + pq - 23q²​, we have to factorize the given expression,
So,
24p² + pq - 23q²​,

Substituting pq = 24 pq - 23pq

= 24p² + 24pq - 23pq - 23q²
= 24p(p + q)-23q(p + q)
= (24p - 23q)(p + q)

Thus, the required factorization of the given expression is given as  (24p - 23q)(p + q).

Learn more about Factors here:
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multipy 47 by 6 and then plug in your answer into h

Answer:

c. $262.88

Step-by-step explanation:

248× 0.06= $14.88

248+14.88= 262.88

The lengths of the three sides of the triangular deck are 19 feet, 23 feet, and 34 feet. The shortest side is 19 feet, the second side is 23 feet, and the third side is 34 feet, and they add up to a perimeter of 76 feet.

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1 foot would be four 1/4 foot pieces.

Multiply total feet by 4:

12 ft x 4 = 48 total pieces.

Answer:

5

Step-by-step explanation:

Samuel can expect to draw a red card approximately 50 times.

To find out how many times Samuel can expect to draw a red card, we need to calculate the probability of drawing a red card and then multiply it by the number of times he selects a card.

Given:

- Number of red cards = 5

- Number of blue cards = 20

- Number of green cards = 25

- Total number of cards = 5 (red) + 20 (blue) + 25 (green) = 50

The probability of drawing a red card is the ratio of the number of red cards to the total number of cards:

[tex]\[ P(\text{Red}) = \frac{\text{Number of red cards}}{\text{Total number of cards}} = \frac{5}{50} = \frac{1}{10} \][/tex]

Now, to find the expected number of times Samuel will draw a red card, we multiply the probability of drawing a red card by the total number of times he selects a card:

[tex]\[ \text{Expected number of red cards} = P(\text{Red}) \times \text{Total number of selections} \][/tex]

Substituting the values:

[tex]\[ \text{Expected number of red cards} = \frac{1}{10} \times 500 = 50 \][/tex]

So, Samuel can expect to draw a red card approximately 50 times.

Answer:

x = 3

Step-by-step explanation:

you would divide both sides by three to get the x alone giving you

x =  9/3

Answer:

B. 300

Step-by-step explanation:

Final figure volume = big cuboid volume - small cuboid volume

Volume of a cuboid = height x width x length

Final figure = (6 x 6 x 15) - (4 x 4 x 15)

Final figure = 540 - 240

Final figure = 300mm^2

To calculate the volume of a solid rectangular prism with a hole, subtract the volume of the hole from the volume of the prism. Without specific dimensions, we cannot determine the exact volume from the given options.

To find the volume of a three-dimensional figure that is a solid rectangular prism with a hole through the center, we need to subtract the volume of the hole from the volume of the solid rectangular prism. If the dimensions are not given in the question, we can look at examples provided in similar problems.

For instance, in problem 13, the volume of a rectangular solid with a square face of 5 cm and a length of 10 cm is found by multiplying its dimensions: Volume = length × width × height = 5 cm × 5 cm × 10 cm = 250 cm³. Similarly, we would calculate the volume of the outer prism and the inner prism in the given problem and subtract the inner volume from the outer to find the final volume.

The options provided (A. 60, B. 300, C. 540, D. 780) suggest specific volumes. Given the lack of specific dimensions in the question, it is not possible to determine the correct answer from the options provided without additional information.

Final answer:

To find how much milk Juan should use for 1 pound of flour, convert the flour to grams (454 g), set up a proportion based on the recipe's ratio, solve for the milk in milliliters, and then convert to cups. Juan will need approximately 1.135 cups of milk, or roughly 1 and 1/8 cups.

Explanation:

The question involves calculating how much milk Juan should use in his recipe based on the amount of flour he has. Since the recipe calls for 120 mL of milk for each 200 g of flour, we need to find out the equivalent amount for 1 pound of flour.

First, let's convert 1 pound of flour to grams, knowing that 1 pound is equivalent to approximately 454 grams. The recipe ratio is 120 mL to 200 g of flour, so we set up a proportion:

200 g flour : 120 mL milk = 454 g flour : x mL milk

To solve for x, we use cross multiplication:

(200 g) * (x mL) = (120 mL) * (454 g)

x = (120 mL * 454 g) / (200 g)

x ≈ 272.4 mL

Since there are about 240 mL in 1 cup of milk, we can convert the milliliters to cups:

x ≈ 272.4 mL / 240 mL/cup

x ≈ 1.135 cups of milk

Therefore, Juan should use approximately 1.135 cups of milk for 1 pound of flour. For ease of measuring, Juan can round this to about 1 and 1/8 cups of milk.

Heat-induced decomposition is an illustration of chemical property.

Trying to break down is the phenomenon of decomposing. Whenever a substance is heated, it undergoes thermal breakdown, which is a chemical process.

At high temperatures, thermal breakdown processes occur. Before collapsing into the products, the reactions absorb a lot of energy.

So, Option "D" is the correct answer to the following question.

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Decomposition caused by heat is an example of a chemical property because it involves a substance changing into different substances through a chemical reaction.

The question asks which of the following options is an example of a chemical property. Chemical properties are characteristics of a substance that indicate its ability to undergo a chemical change, resulting in the formation of new substances. Options like boiling point, melting point, and electric conductivity are considered physical properties because they describe aspects of a substance that can be observed or measured without changing the substance's chemical identity. In contrast, an option like decomposition caused by heat is a chemical property because it involves a chemical change where the original substance is transformed into different substances as a result of the chemical reaction induced by heat.

Therefore, the correct answer to the original question, "which of the following is an example of a chemical property?" is:

Similarly, from the reference exercises provided, flammability is also a chemical property. It specifies a substance's ability to burn or ignite, causing it to change chemically and form new substances as it reacts with oxygen in the air.

Answer:

[tex]f^{-1}(x) = \frac{1}{12}(x+20)[/tex]

Step-by-step explanation:

Given: f(x) = 4(3x - 5)

Is required to find f⁻¹(x)

f(x) = y = 4(3x - 5)

∴ y = 4 * 3x - 4 * 5

∴ y = 12x - 20 ⇒ add 20 to both sides

∴ y + 20 = 12x ⇒ divide both sides by 12

∴ [tex]\frac{1}{12} (y+20) = x[/tex]

Replace the places of x and y.

∴ [tex]y=\frac{1}{12} (x+20)[/tex]

∴ [tex]f^{-1}(x) = \frac{1}{12}(x+20)[/tex]

Answer:

The fraction is: [tex]$ \frac{\textbf{21}}{\textbf{110}} $[/tex]

Step-by-step explanation:

Given that the income is 66000 $ and the amount spent on taxes is 12600 $.

Therefore, the ratio of the amount of taxes and the income

[tex]$ = \frac{12600}{66000} $[/tex]

[tex]$ = \frac{126}{660} $[/tex]

Simplifying, we get: [tex]$ \frac{\textbf{21}}{\textbf{110}} $[/tex]

Hence, the answer.

Answer:

Each ticket it 9$

Step-by-step explanation:

3 by 3 is 3 times 3

3 times 3 is 9

$81/9 is 9

For this case we propose a rule of three:

$ 951 -------------> 100%

x -------------------> 35%

Where "x" is the variable that determines the amount of the discount equivalent to 35%.

[tex]x = \frac {35 * 951} {100}\\x = \frac {33285} {100}\\x = 332.85[/tex]

Thus, the discount is $332.85.

The new price of the computer system is:

$951- $332.85 = $617.5

Answer:

The new price of the computer system is: $617.5

Answer:

57.97 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h( a + b)

where h is the perpendicular height between the parallel bases and a, b are the bases.

Here h = 6.2, a = 7.9 and b = 10.8, thus

A = 0.5 × 6.2 (7.9 + 10.8)

   = 3.1 × 18.7 = 57.97 cm²

Answer:

Step-by-step explanation:

Area of trapezium = 1/2(a + b)h

a = 7.9cm, b = 10.8cm and h = 6.2cm

Area = 1/2(7.9 + 10.8)×6.2

Area = 1/2 × 18.7 × 6.2

Area = 57.97cm²

Answer:

The correct description of the variables is given by as the following -

The variables  are  gender and preferred method of learning. They are categorical variables.

Step-by-step explanation:

The correct description of the variables is given by as the following -

The variables  are  gender and preferred method of learning. They are categorical variables.

Answer:

The variables are gender and preferred method of learning. They are categorical variables.

Step-by-step explanation:

Hope this helps

Answer:

it is 100 pls give me braiy if I'm right s

Answer:

Therefore the correct option is sin(5x).

Step-by-step explanation:

i) The hammer thrower rotates exactly 5 times in 2[tex]\pi[/tex] seconds.

  Therefore one rotation is completed in [tex]\frac{2\pi }{5}[/tex] seconds.

ii) Since the motion of the hammer is represented by a sine function therefore

  one rotation is considered to be one full cycle and the time period of that cycle

  is given in equation i) and it is T = [tex]\frac{2\pi }{5}[/tex]  seconds.

iii) the equation of a sine function is given by sin(2[tex]\pi[/tex][tex]\frac{1}{T}[/tex]) which in this case would

   be sin(2[tex]\pi[/tex] × [tex]\frac{1}{\frac{2\pi }{5}}[/tex] × x) = sin(5x)

iv) Therefore the answer is sin(5x)

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x>2\\y\leq4\end{array}\right[/tex]

x = 2

This is a vertical line passing through (2, 0) .

y = 4

This is a horizontal line passing through (0, 4).

<, > - dashed line

≤, ≥ - solid line

<,  ≤ - shaded to the left (down) from the line

>, ≥ - shaded to the right (up) from the line

Answer:

Below.

Step-by-step explanation:

The shaded area will be to the right of the vertical dotted line x = 2, and below the horizontal continuous line y = 4.

Answer:

Just a guess but 101

Step-by-step explanation:

90-79=11. 90+11=101

Step-by-step explanation:

We have,

[tex]4\dfrac{6}{7}+7\dfrac{3}{14}[/tex]

To find, the common denominator of [tex]4\dfrac{6}{7}+7\dfrac{3}{14}[/tex] = ?

∴ [tex]4\dfrac{6}{7}+7\dfrac{3}{14}[/tex]

= [tex]\dfrac{4\times 7 +6}{7} +\dfrac{7\times 14 +3}{7}[/tex]

[tex]=\dfrac{34}{7} +\dfrac{101}{7}[/tex]

Taking the common as [tex]\dfrac{1}{7}[/tex], we get

=[tex]\dfrac{1}{7}[/tex][tex](34+101)[/tex]

The denominator = 7

∴  The common denominator of [tex]4\dfrac{6}{7}+7\dfrac{3}{14}[/tex] = 7

Hence, the common denominator of [tex]4\dfrac{6}{7}+7\dfrac{3}{14}[/tex] = 7

Answer:

Step-by-step explanation:

expenses :

flat fee of 264 + 15 for every attendee (a)

264 + 15a

revenue :

16 per attendee

16a

break even point is when expenses = revenue

264 + 15a = 16a

264 = 16a - 15a

264 = a

total expenses: 264 + 15a......264 + 15(264) = $ 4224

total revenue : 16a......16(264) = $ 4224

attendees taken : 264

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope it helps! :)

QuezoMartiinez <3

Answer:

The answer is B- Isolating the constant, -3