Multiply, add and subtract to find the total. *
calvin paints ad posters. he charges $50 for a large poster and
$30 for a small poster. last week, he sold 3 large posters and 6
small posters. he also had to spend $40 to buy more paint.
how much money does calvin have left?
your answer

[tex](a+4)^2 -11(a+4) -42\\\\=x^2 -11x -42~~~~~~~~~~~~~~~~~~~~~~~~;[a+4 = x]\\\\=x^2 -14x +3x -42\\\\=x(x-14) +3(x-14)\\\\=(x+3)(x-14)\\\\=(a+4+3)(a+4-14)~~~~~~~~~~~~;[\text{Substitute back}~ a+4 =x]\\\\=(a+7)(a-10)[/tex]

Answer:

(a - 10) (a + 7)

Step-by-step explanation:

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(a + 4)² - 11(a + 4) - 42

Fractorize

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So the equation will be

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[tex] \sf \large {x}^{2} - 11x - 42[/tex]

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[tex] \sf {x}^{2} - 14x + 3x - 42[/tex]

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[tex] \sf x(x - 14) + 3(x - 14)[/tex]

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[tex] \sf (x - 14)(x + 3)[/tex]

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[tex] \sf (a + 4 - 14)(a + 4 + 3) \\ \\ \boxed{ \frak{(a - 10)(a + 7)} } [/tex]

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From the calculation, we can see that, the  probability that an employee has registered for both recreational activities and gym memberships is 1/40.

The term probability refers to the chance that an event will occur or not. The probability of an event always lies between zero and 1.

Given that;

Number that registered for recreational activities = 95

Number that registered for gym membership = 80

Number that did not register at all = 30

Total number of gym employees =200

Hence; 95 + 80 +30 =205

Number that registered for both recreational activities and gym membership

= 205 - 200 =5

The probability that an employee has registered for both recreational activities and gym memberships is; 5/200 = 1/40

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well I can say all but a and g are nets according to that explenation

Answer:

C

Step-by-step explanation:

6X - (15 + 4X) = 35

6(25) - (15 + 4(25)) = 35

150 - (15 + 100) = 35

150 - (115) = 35

35 = 35 (True)

Answer:

C) 20.97 AED

Step-by-step explanation:

To find the expected value, E(X), or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products. The formula is given as [tex]\displaystyle E(X)=\mu=\sum xP(x)[/tex].

Here, x represents values of the random variable X, [tex]P(x)[/tex] represents the corresponding probability, and symbol [tex]\displaystyle \sum[/tex] represents the sum of all products [tex]xP(x)[/tex]. Here we use the symbol [tex]\mu[/tex] for the mean because it is a parameter. It represents the mean of a population.

In this case, the expected value of the ticket is [tex]\displaystyle E(X)=\mu=\sum xP(x)=12(0.08)+18(0.15)+20(0.31)+22(0.08)+24(0.15)+25(0.23)=20.97[/tex]

This means that Ahmad can expect to win 20.97 AED for the ticket.

Answer:

270°

Step-by-step explanation:

The approximate area of each half of ​△ACB is 28 square feet

The formula for calculating the area of a triangle is expressed as:

A = 0.5absintheta

Given the following

PB =11ft

<PCB = 65degrees

Using the SOH CAH TOA identity

tan<PCB = 11/CP
CP = 11/tan65
CP = 5.13 ft

Determine the required area

Area = 0.5(11)(5.13)sin90

Area = 5.5 * 5.13

Area . = 28 square ft

Hence the approximate area of each half of ​△ACB is 28 square feet

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Answer:

0.973

Step-by-step explanation:

Solution

I'm going to discuss one way to do it, and then show a much better way.

If you attack the problem directly, there are 3 ways of placing just 1 day not being late

0.7 * 0.3 * 0.3  = .063

0.3 * 0.7 * 0.3 =  .063

0.3 * 0.3 * 0.7  = 0.63

Making it on on time on two days gives you 3 equations as well

0.7* 0.7 * 0.3 = .147

0.7* 0.3 * 0.7 = .147

0.3 * 0.7 * 0.7 = .147

Making it on time all three days

0.7 * 0.7 * 0.7 = .343

If you add add these up, you should get 0.973

There is a better way. First calculate what happens if he is late all three days.

0.3 * 0.3 * 0.3 = 0.027     No on times (.7) anywhere.

If you take 0.027 away from 1, you get 0.973 That takes care of all the times he was on time. Much neater and easier, no?

The graph represents the function (D) because the graph of the function  is not defined at x = 1 and x = 2 option (D) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function:

If we take the function:

[tex]\rm f(x) = \dfrac{1}{\left(x-1\right)\left(x-2\right)}[/tex]

At x = 1 and x = 2 the function will be not defined, so this region would be hollow and as we can see in the graph of a function.

The function is not defined at x = 1 and x = 2.

Thus, the graph represents the function (D) because the graph of the function is not defined at x = 1 and x = 2.

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The correct answer is option C which is nine more than two-fifths of the number is nine.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, expansion and division.

The given expression is:-

( 2 / 5) x  +  9 = 9

The expression can be written in the words nine more than two-fifths of the number is nine.

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Answer:

either the median is 2 inches or the mean is 3.2 inches, but i think it is median since the question asks for the center

Step-by-step explanation:

Answer:

∠A≅∠Z         AB≅ZX

∠B≅∠X          AC≅ZY

∠C≅∠Y          BC≅XY

ΔCBA≅ΔYXZ

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Let me know if you ever need help !

Answer:

C. 5f +25

Step-by-step explanation:

Answer:

Step-byThe equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)

(1, 2): 2=2+b --> b=0

So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).-step explanation:

The length of the third side is [tex]≈15.7[/tex]

Note:

Phitagors theorem:

[tex]c^{2}=a^{2}+b^{2}[/tex]

[tex]c: hypotenuse[/tex]

[tex]a: altitude[/tex]

[tex]b: base[/tex]

1) Using Phitagors theorem

[tex]c^{2}=a^{2}+b^{2}[/tex]

[tex]c^{2}=14^{2}+7^{2}[/tex]

2) Calculate

[tex]c^{2}=245[/tex]

3) Take the square root of both sides of the equation

[tex]\sqrt {c^{2}}=\sqrt{245}[/tex]

[tex]c=\sqrt{245}[/tex]

[tex]c≈15.7[/tex]

Answer:

the third option 6 squareroot of 5 would be the largest value

Step-by-step explanation:

3 squareroot of 7 is also 63 squareroot

5 squareroot of 3 is also 75 squareroot

6 squareroot of 5 is also 180 squareroot

2 squareroot of 8 is also 32 squareroot

Answer:Don’t know I will just get points.Thx

Step-by-step explanation:

The measure of one side of the square lies between 13 and 14.

A square is a quadrilateral with four equal sides that has four angles that are equal and two diagonals that bisect each other at 90 degree.

Area of a square = length of a side²

length of a side = √ area

√180 = 13.42

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Answer:

If the question asks to write the answer as a power, it should be the power of 6 without the variable of Z.

Answer:

21 feet

Step-by-step explanation:

It increases by a rate of 2.33333333,we know this by doing 14 divided by 6. 9 x 2.33333333 is 21

(although this might be incorrect)

Answer:

21 feet

Step-by-step explanation:

Ratio between height and distance from point on ground :

Taking ratio between x and  14 :

Answer:

0.52cm2

Step-by-step explanation:

l of Arc =tita/360×2πr

15/360×2×22/7×2

Answer:

y + 5x + 8

Explanation:

Move numbers or variable:

y + 5x + 8

Additional Information:

x + y + 1

This has three terms, coefficient of 1, constant of 1

Answer:

[tex]\huge\boxed{\bf\: x + 5y + 8}[/tex]

Step-by-step explanation:

We need to make an expression using the given conditions. Let's look at them in order.

Condition 1:

If the expression has three terms then let's take the three terms as, x, y & z. Therefore, the expression uoto now = x + y + z.

Condition 2:

Now, the expression has a term with coefficient = 5. Let's put 'y' with coefficient 5 since the second term has two blanks in the question. So, expression = x + 5y + z.

Condition 3:

The expression also has a constant 8. By substituting the value of 'z' with 8 (as 'z' is not given in the options), we get the final expression as → x + 5y + 8.

[tex]\rule{150pt}{2pt}[/tex]

The justification of step a is common denominator and the justification of step b is multiplication property of equality

The equation is given as:

[tex]a(x + \frac{b}{2a})^2 = -c + \frac{b^2}{4a}[/tex]

Take the LCM

This gives

[tex]a(x + \frac{b}{2a})^2 = \frac{-4ac + b^2}{4a}[/tex]

The above represents a common denominator.

Multiply both sides by 4a

[tex]4a^2(x + \frac{b}{2a})^2 = -4ac + b^2[/tex]

The above represents the multiplication property

Hence, the justifications are common denominator and multiplication property of equality

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Step A: common denominator

Step B: multiplication property of equality

Answer:

100

Step-by-step explanation:

When you round to the nearest hundred you are rounding from three places before the decimal (000.). Anything from 0-49.99 will be rounded down while anything from 50-99.99 will be rounded up.

Answer:

Step-by-step explanation:

-(6)³=-6×6×6=-216

(-6)³=(-6)×(-6)×(-6)=-216

   The angle of elevation is the angle of which something, in simple terms, is raised from a straight plane. If it is the angle downwards, we call this the angle of depression.

      An image giving an example, or a visual description, is attached.

It comes from Khan Academy.