1.) Ab+ac
2.) 6m+8
3.) 27d²+8d³-15d4t
4.) 27 m²n³p5-20m5n²p

Answer:

  -8.8x +5

Step-by-step explanation:

You want to simplify the expression -0.8x+40-8x-35.

The expression is simplified by combining like terms. Like terms have the same (set of) variables.

  -0.8x +40 -8x -35

  = -0.8x -8x +40 -35 . . . . . . group like terms

  = (-0.8 -8)x +(40 -35)

  = -8.8x +5

Answer:

(4xy)(5x^2yz) = 20x^3y^2z

Step-by-step explanation:

                                        [tex]\begin{aligned}\\\small (4xy)(5x^2yz) &\equiv \small (4\times5)\times (x \times x^2) \times (y\times y) \times (z)\\\\&\equiv 20 \times x^3 \times y^2 \times z\\\\&\equiv 20x^3 y^2 z\end{aligned}[/tex]

Answer:

73 - Explanation and Check below

Step-by-step explanation:

11x - 4 = 9x + 10

1. Get variable (x) on one side.

11x - 4 = 9x + 10

- 9x - 9x

2x - 4 = 10

2. Solve 2 step equation - add 4 on both sides of equation.

2x - 4 = 10

+ 4 + 4

3. Divide 2 on both sides of equation.

2x = 14

---- ----

2 2

x = 7

Check:

11 (7) - 4 = 9(7) + 10

77 - 4 = 63 + 10

73 = 73 True statement.

Explanation:

If a transversal intersects two parallel lines, the corresponding angles will be always equal.

So in the problem, the two given equations are equal to each other.

The answer for the two angles with equations is 73.

Also, the angles vertical to the two equations are also 73 because vertical angles are congruent (equal).

Hope this helps :)

Answer:

sin = 12/15  cos = 9/15  tan = 12/9

Step-by-step explanation:

Easy way to remember this is

SOH CAH TOA

O is opposite ( 12 in this problem )

H is hypotenuse i.e. opposite of the right angle ( 15 in this problem )

A is adjacent ( 9 in this problem )

The confidence interval for the mean assembly time is [15.625, 16.775].

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Answer:13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

i hope it's helpful for you

Explanation:

Start at -1 on the x axis number line. Then move vertically until reaching the function curve. You should arrive at (-1,2). This tells us that g(-1) = 2. In other words, the input x = -1 leads to the output y = 2.

Follow similar steps to find that g(1) = -2

Therefore, g(-1)+g(1) = 2 + (-2) = 0

The length of the hypotenuse is given by the function h(x) = √[x² + (10/x)²]

An equation is an expression that shows the relationship between two or more numbers and variables.

The area of the right triangle is 5 in², the length of the leg is x, hence:

Area = (1/2) * base * height

5 = (1/2) * x * height

height = 10/x

hypotenuse = √[(leg)² + (height)²]

h(x) = √[x² + (10/x)²]

The length of the hypotenuse is given by the function h(x) = √[x² + (10/x)²]

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The required answer for the given equation is d = 1/2, ±√14.

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

Now the given equation is,

420 ÷ d = 30d = 15

Now if,

30d = 15

Then divide both the side by 30 we get,

30d/30 = 15/30

Solving we get,

d = 1/2

this is the required value of d

Now if,

420 ÷ d = 30d

So simplifying it we get,

420/d = 30d

multiplying both the side by d we get,

d*420/d = 30d*d

Solving we get,

30d^2 = 420

Dividing both the side by 30 we get,

30d^2/30 = 420/30

Solving we get,

d^2 = 14

Taking square root both the side we get,

√d^2 = √14

Solving we get,

d = ±√14
this is the required value of d.

Thus, the required answer for the given equation is d = 1/2, ±√14.

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Answer:

1200 ml

Explanation:

Let x be the quantity ( in ml ) of b solution,

∵  solution a is 100 milliliters less of than solution  b.

So, the quantity of solution a = 100 - x,

Now, solution a has 13% alcohol,

∴ Alcohol in solution a = 13% of (100-x) =  = 0.13(x-100),

While solution b has 17% alcohol,

∴ Alcohol in solution b = 17% of x = 0.17x,

So, the quantity of alcohol in the mixture of a and b = 0.13(x-100) + 0.17x

= 0.13x - 13 + 0.17x

= 0.30x  - 13

According to the question,

Total quantity of alcohol in the mixture = 347 ml,

⇒ 0.30x  - 13 = 347

⇒ 0.30x = 347 + 13

⇒ 0.30x = 360

⇒ x =  = 1200

Hence, the quantity of solution b is 1200 ml.

Answer:

George C. x=2 is the equation of the line through (2,3) with undefined slope.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (2, 3 ) with x- coordinate 2 , then

x = 2 ← is the equation of the line

The numbers that represents c and d and aligns with the information will be 24 - 10 = 14.

It should be noted that from the proportion, a = 60 and b = 25.

It was also stated that c - d = 14.

It should be noted that 60 and 25 have a common factor of 5. Therefore, the number that's equivalent to them will be:

(60 ÷ 2.5) = 24

25 ÷ 2.5 = 10

Therefore 24 - 10 = 14

The values are 24 and 10.

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Answer:

Step-by-step explanation: 5x=3(x+6)

5x=3x+18

5x-2x=18

3x=18

x=18/3

x=6

The expression that have 23 as a product is 130×23

For an expression to have 23 as a product, the expression must be a multiple of 23

This is indicated by

x/23 => Integer

So, we have:

2125×5063/23 = 4677..... (false)

78×925/23 = 3136.9....(false)

130×23/23 = 130 --- true

325×712/23 = 10060.... (false)

2027×2730/23 = 240596.. (false)

Hence, the expression that have 23 as a product is 130×23

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In January 2014, the debt per capita was: = $54,522.53.

Net debt per capita is simply the total debt of a country or even other jurisdiction divided by the residents residing there. Net debt per capita can provide insight into how leveraged a government is.

The average American has $92,727 in consumer debt, according to 2020 Experian research. Consumer debt encompasses a wide range of personal credit accounts, including credit cards, auto loans, mortgage, and personal loans, including school loans.

Population = 317.3 million.

US Federal Debt was a reported  = $17.3 trillion.

Federal Debt per capita. = ?

We know that:

by adding short-term and long-term debt, deducting cash and some other liquid assets, then dividing by population.

The debt per capita in Jan 2014 was:

=1.73 x 1013 / 3.173 x 108

= $54,522.53.

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Solve the quadratic equation

  c² +16c+64 = 0

Step-by-step explanation:

Given that

             c² +16c+64 = 0

To find

So, according to the question

we have,

We can solve this quadratic equation by factorising method.

So, we have to convert it on factors,

        c² +16c+64 = 0

For getting it's factors, we have to divide 16c part in two parts,

So, we can write 16c = 8c + 8c,

        c² +16c+64 = 0

        c² +8c+ 8c+ 64 = 0

Now,

        c(c +8) + 8(c+ 8) = 0

                  (c+8)(c+8) = 0

                        (c+8)² = 0

 or,

                       (c + 8) = √0   (∵  √0  = 0)

                         c + 8 = 0

Now, we can say that

                              c = -8 or 0

Answer:

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Answer:

-48.54 ÷ -6 = 8.09

so the answer is 8.09

hope this helps

For the given graph:

And yes, it is a function.

For a given function y = f(x), the domain is the set of the inputs (possible values of x) and the range is the set of outputs (possible values of y).

To identify the domain we need to look at the x-axis (the horizontal one)

We can see in the left side that the first value is -2, whith a closed circle, meaning that the value belongs to the domain.

The right side is x = 0, with a open circle, which means that it does not belong to the domain.

Then the domain is D: [-2, 0)

Similarly, by looking at the y-axis (vertical axis) we can find the range which is:

R: [0, 2)

Finally, how to know if this is a function?

There is something called the "vertical line test". This test says that if you can't draw a vertical line that intersects the graph in two points or more, then it is a function.

And the graph clearly meets that test, so it is a function.

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The solution of the given linear equation is (103.16 + 4x).

The given equation is;

= 9(3.2)² + 4x - 11

For finding (3.2)² = 3.2×3.2

(3.2)² = 10.24

Put the value in equation;

= 9×10.24  + 4x - 11

Multiply 9×10.24 = 92.16

Put the value;

= 92.16 + 4x + 11

Now, add the constant value

= (92.16 + 11) + 4x

= 103.16 + 4x

As, 4x is a variable part, it will not get added to the constant 103.16.

Thus, the solution of the equation is  103.16 + 4x.

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Answer:

-174

Step-by-step explanation:

58x2=116<----First two 58's

116+58=174<----last 58

We need to add the negative symbol since it should be negative, so the final answer is -174.

The three questions mentioned above which translated to one variable linear equation.

Problem first,
The rank of a student is 5 more than the other, Sum of their rank is 7
The solution, rank of student be x
            rank of another student = x + 5
          According to the question,
          x + x + 5 = 7
              2x = 2
                 x = 1

Problem second.
A student has 2 pens less than their friend, the sum of their pens is 6
Solution-
               let the student has x pens
               His friends have = x + 2 pens
               Now. total = x + x + 2
                             6 = 2x + 2
                             x = 2

Problem third,
Ashwin is 2 times older than his friend and his friend's age is 24 what is the age of Ashwin,
Solution,
             Let the age of Ashwin be x
                according to question
                    x = 24 + 2
                     x = 26

Thus, the three questions mentioned above which translated to one variable linear equation.

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Answer:-26

Step-by-step explanation:

-2+10+10=-3(x+2)+x=-26 np

Answer:

75

Step-by-step explanation:

35+4x where x is 10

35+4*10

35+40

75

Answer:

75

Step-by-step explanation:

4 packs of balloons which each have 10 balloons is 40 total balloons she bought. Add 40 to 35 which is 75.

Answer: Slope=5/3

Step-by-step explanation:

my teacher said

1. The journal entry to show the transfer of Job 102 into Finished Goods Inventory after its completion is as follows:

Debit Finished Goods $53,600

Credit Work in Process: Job 102 $53,600

2. The journal entries to recognize the sales revenue and cost of goods sold for Job 202 are as follows:

Debit Cash/Accounts Receivable $60,000

Credit Sales Revenue $60,000

Debit Cost of goods sold $55,000

Credit Finished Goods Inventory $55,000

3. The journal entry to transfer the balance of the Manufacturing Overhead account to the Cost of Goods Sold account is as follows:

Debit Manufacturing Overhead $4,000

Credit Cost of Goods Sold $4,000

Estimated total manufacturing overhead = $420,000

Estimated total machine hours = 60,000 hours

Predetermined overhead rate = $7 ($420,000/60,000)

                                            Job 101     Job 102          Job 103         Total

Direct materials used       $ 19,200    $ 14,400       $ 9,600     $ 43,200

Direct labor                      $ 28,800     $ 11,200       $ 9,600     $ 49,600

Applied overhead              $7,000     $28,000      $14,000      $49,000

Total costs                       $55,000     $53,600      $33,200     $141,800

Machine hours             1,000 hours   4,000 hours 2,000 hours 7,000 hrs

Status of Jobs                   Sold             Finished      WIP

Sales revenue (Job 101) = $60,000

Actual overhead costs for the first month = $45,000

Applied overhead for the first month = $49,000 ($7 x 7,000)

Overapplied overhead = $4,000 ($49,000 - $45,000)

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