a dad left all his money to his three children . Child A received 1/6. Child B received 1/7. Child C, who received the remainder of the money was given $23,490. How much money did child A receive?

The expression simplified can be written as:

16m +  8

Here we want to simplify the following expression:

(8m + 4) + (8m + 4)

To simplify, we start by removing the parenthesis:

8m + 4 + 8m + 4

Now we can change the order of the terms so we get:

8m + 8m + 4 + 4

Now we can group the like terms to get:

(8m + 8m) + (4 + 4)

And simplify this to get:

16m +  8

That is the simplified expression.

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The profit earned if 53 mowers are sold is $1104.50.

To find the profit polynomial, we need to subtract the cost polynomial from the revenue polynomial:

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = (-0.5x^2 + 91x) - (38x + 300)

P(x) = -0.5x^2 + 53x - 300

So the profit polynomial is P(x) = -0.5x^2 + 53x - 300.

To find the profit earned if 53 mowers are sold, we substitute x = 53 into the profit polynomial:

P(53) = -0.5(53)^2 + 53(53) - 300

P(53) = -0.5(2809) + 2809 - 300

P(53) = -1404.5 + 2509

P(53) = 1104.5

Therefore, the profit earned if 53 mowers are sold is $1104.50.

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Answer:

If there are 9 students attending then both field trips will cost the same. If there are more than 9 students attending then the second one cost cheaper.

Step-by-step explanation:

240 + 40x = 600

- 240           -240

40x = 360

40x/40 = 360/40

x = 9 students

Step-by-step explanation:

Is the answer you want is a equation like b÷7-a?

Answer:

Total number of package Deli made = 48 package

Step-by-step explanation:

Given:

Amount of cheese block = 12 pound

Amount of cheese in each package = 1/4 pound

Find:

Total number of package Deli made

Computation:

Total number of package Deli made = Amount of cheese block / Amount of cheese in each package

Total number of package Deli made = 12 / [1/4]

Total number of package Deli made = 12 x 4

Total number of package Deli made = 48 package

Answer: 48 packages

Answer:

\(a. \: (3, 7.38) \\ c. \:(11, 27.06) \: and\: \\ e. \: (1, 2.46) \\ are \: correct.\)

Step-by-step explanation:

\(this \: constant \: ratio \: is \: gotten \: by \: \\ \frac{x}{y} = \frac{12.3}{5} = \frac{7.38}{3} = \frac{27.06}{11} = \frac{2.46}{1} = 2.46 \\ so \: constant \: is \: 2.46 \: and \: points \: that \\ \: also \: lie \: on \: the \: same \: graph \:are: \\ a. \: (3, 7.38) \\ c. \:(11, 27.06) \: and\: \\ e. \: (1, 2.46) \)

Answer:

Let x be the number we are looking for.

We know that 12 is at most a number decreased by 7, which can be written as:

x - 7 >= 12

To solve for x, we add 7 to both sides of the inequality:

x - 7 + 7 >= 12 + 7

Simplifying, we get:

x >= 19

Therefore, the solution to the inequality is x >= 19.

The answer is:

Work/explanation:

Let w be the number. Now, let's write an inequality to solve for w.

Let's focus on the part that says "at most a number". At most means that the number can't be greater than something, it can only be less than. So the symbol for "at most" is ≤, which also means "less than".

Now, decreased by 7 means we subtract 7 from w.

With all this information, we are ready to write the inequality.

The inequality is:

\(\sf{12\leqslant w-7}\)

Now, let's solve it for w.

_________________________

Add 7 on each side

\(\sf{12+7\leqslant w}\)

\(\sf{19\leqslant w}\)

Answer:

C 532 square feet

Step-by-step explanation:

We need to calculate the surface area of the storage shed.  This includes the floor.  I did the calculations without the floor and I got 434ft, which is not one of the answers.

Length = 14ft Width = 7ft Height = 8ft

The front and back of the shed both have dimensions of 14x8

The left and right sides of the shed have dimensions of 7x8

The roof and floor have the dimensions of 14x7

2(14 x 8) + 2(7 x 8) + 2(14 x 7)

2(112) + 2(56) + 2(98)

224 + 112 + 196

532 square feet

I hope this helps.

Required factors of the given expression is (7-10x) and (5x-4).

What is factor?

A number or algebraic expression that divides another number or expression evenly—that is, without a remainder is called factor. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12. A positive integer greater than 1, or an algebraic expression with only two factors (that is, itself and 1), is called a prime number; A positive integer or an algebraic expression that has more than two factors is called a complex number. The prime factors of a number or algebraic expression are those factors that are prime factors. According to the Fundamental Theorem of Arithmetic, any integer greater than 1 can be uniquely expressed as the product of its prime factors, except for the order in which the prime factors are written; for example, 60 can be written as a product of 2·2·3·5.

Given expression is

\(2(2x-1)^{2} + 2(3-6x)(4x-7) - 4 {x}^{2} + 1 - 6 {x}^{2} - 25x + 11\)

We are Simplifying,

2(2x-1)² + 2(3-6x)(4x-7) - 4x² + 1 - 6 x² - 25x + 11

= 2( 4x²-4x+1)+2(12x-21-24x²+42x)-4x²+1-6x²-25x+11

= 8x²-8x+2+24x-42-48x²+84x-4x²+1-6x²-25x+11

= -50x²+75x-28

= -(50x²-75x+28)

= -[50x²-(50+25)x+28]

= -1[5x(10x-7)-4(10x-7)]

= -(10x-7)(5x-4)

= (7-10x) (5x-4)

Required factors of the given expression are (7-10x) and (5x-4)

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Answer:

39/52

__________________________

Answer:

1.5333333

Step-by-step explanation:

7 1/3 + 5 4/5 = 23/15 =1 8/15 =1.53

Answer:

A

Step-by-step explanation:

For a right triangle

\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)

This is the same as the other triangle because they are the same size because of congruency

Area of the rectangle

\(a^2+b^2=c^2\\\)

\(\sqrt{(10.4^2+15.3^2} =c\)

\(c= 18.5\)

18.5 x 7 = 129.5

Add them all up

129.5+79.56+79.56= 288.62

Answer:  D) 32.8

=======================================================

Work Shown:

We'll apply the tangent ratio

tan(angle) = opposite/adjacent

tan(64) = x/16

16*tan(64) = x

x = 16*tan(64)

x = 32.8048614652688

x = 32.8

Make sure your calculator is in degree mode. One way to check is to compute tan(45) and you should get 1 as a result.

Answer:

X = 20 minutes .

Step-by-step explanation:

One word:  4/140 = 1/35 minute .

700 words: X = 700x1/35 = 20 minutes .

(Multiplication)

Answer:

Step-by-step explanation:

Pour développer l'expression (x+1)(2-x)-2(x+1)(2x+3), il faut appliquer la propriété distributive :

(x+1)(2-x) - 2(x+1)(2x+3) = 2(x+1) - x(x+1) - 2(x+1)(2x+3) = 2x + 2 - x^2 - x - 4x^2 - 6x - 4 = -5x^2 - 5x - 2

Pour simplifier ou réduire l'expression, il n'y a pas de facteurs communs que nous pouvons factoriser, nous pouvons donc la considérer comme déjà simplifiée.

Answer:

A constant or the product of a constant and one or more variables is called a coefficient.

The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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Answer:

Cost of the land = $90,900

Step-by-step explanation:

Cash Paid for the construction = $79,000

Cost of demolition of the old warehouse = $8,000

Salvage (i.e Proceeds from the salvaged materials) = $1,660

Additional Expenditure before construction began

Attorney's fee = $1,160

Real estate broker's fee = $4,400

Architect's fee = $8,660 ( Note that this will be capitalized to building cost)

Driveways and parking lot = $13,800 ( Note that this is capitalized to land improvements)

Sum of additional expenditure = Attorney's fee + Real estate broker's fee

Sum of the additional expenditure = 1160 + 4400

Sum of the additional expenditure = $5,560

Cost of the land = Cash paid + cost of demolition + Additional expenditure - salvage

Cost of the land = 79000 + 8000 + 5560 - 1660

Cost of the land = $90,900

Answer:

Amount to be reported as the cost of the land = $ 91,400

Step-by-step explanation:

Payment of Real Estate= $ 79,000

Building Demolished  $ 8000

Gains on Sale of materials = ($1660)

Attorney’s fee for work concerning the land purchase, $1160

Broker's fee       $4,400

Amount to be reported as the cost of the land = $ 91,400

Broker's fee is included in the purchase of land . Gains on the sale of salvaged materials is deducted  from the cost of land because it is of the building demolished.  Architect's fee is not also included in the cost of land but in the construction costs.

The expression |-4| has a value of 4 when evaluated

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

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Answer: A

Step-by-step explanation:

for a function y = Asin(bx + c), an amplitude equals to |A| (10 in this case), and the period equals to 2π/b (1/2 * π in this case).

Answer:

\(\textsf{A)} \quad \rm amplitude = 10, \; period=\dfrac{1}{2}\pi\)

Step-by-step explanation:

The sine function is periodic, meaning it repeats forever.

The general formula for a sine function is:

\(\boxed{y = A \sin(B(x + C)) + D}\)

where:

Given function:

\(y=-10\sin 4x\)

Comparing the given function with the general formula:

Therefore, the given function has no horizontal or vertical shift.

The amplitude of the function is 10.

The period of the function is:

\(\textsf{Period}=\dfrac{2\pi}{B}=\dfrac{2\pi}{4}=\dfrac{1}{2}\pi\)

Answer:

382.85

Sig Figs

   5

   382.85

Decimals

   2

   382.85

Scientific Notation

   3.8285 × 10^2

E-Notation

   3.8285e+2

Words

   three hundred eighty-two point eight five

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y, z) = (90, 75, 105)

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary, and opposite angles are congruent.

  (x -15) +(x +15) = 180

  2x = 180

  x = 90

Angles y and (x-15) are opposites, so ...

  y = x -15 = 90 -15 = 75

Similarly, for z ...

  z = x +15 = 90 +15 = 105

The values of x, y, and z are 90, 75, and 105, respectively.

Answer:

as x approaches ∞, y is positive

as x approaches -∞, y is positive

Step-by-Step Explanation:

you need to graph the equation and look at what happens

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Represent the unknown terms

Let x represents the number of weeks

Let y represents the total number of test passed

STEP 2: Interpret the statements

For Rebecca

For Marie

STEP 2: Find the number of weeks they will pass the same amount of test.

This means that y will be equal to y

Hence, they will both pass the same number of tests in 3 weeks

STEP 3: Find the amount of tests passed

For Rebecca

For Marie

Both will pass 18 tests in 3 weeks

ANSWER:

In 3 weeks, the children will each have passed 18 tests.​

Answer:

25

Step-by-step explanation:

if four is the ratio of blue to five then divide four by 20 blue because thats the number your finding and you get 5 so then you multiply 5 by 5 and you get 25

Answer:

25

Step-by-step explanation:

Divide 4 by 20 to get 5. Then multiply 5 by 5 to get 25.

Answer:

\(\fbox {3(4a + 2) = 12a + 6}\)

Step-by-step explanation:

⇒ 3(4a + 2)

⇒ 3(4a) + 3(2)

⇒ 12a + 6

Answer:

A) 3(4a + 2) = 12a + 6

Step-by-step explanation:

This is the correct answer because the distributive property is where you break up all the numbers and pretty much that is what you do in A.

3 * 4a = 12a

3 * 2 = 6

So then, as you can see, the answer would be 12a + 6.

This is another explanation, even though they are LITERALLY the same.

Apply the distributive property.

3 (4a) + 3 ⋅ 2

Multiply 4 by 3.

12a + 3 ⋅ 2

Multiply 3 by 2.

12a + 6

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Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

(2, -1)

Step-by-step explanation:

I just plugged (y-x<-3) into desmos (if you haven't used desmos, use it. Its a lifesaver) and the only coordinate pair that was part of the line, is (2,-1)

Hope that helps!

Answer:

(6,2)

coz if y=2 & x=6

then substitute in to the equation

and we get 2-6=-4

so -4 is less than -3; in number line. thats it!!!!!