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

Answer:

[tex]\large \text{$ 4 x^{\frac{14}{3}}y^{\frac{8}{3}}$}[/tex]

Step-by-step explanation:

Given expression:

[tex](8x^7y^4)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a \cdot b)^c=a^{c} \cdot b^{c}:[/tex]

[tex]\implies 8^{\frac{2}{3}} \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]

[tex]\implies 4 \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 4 \cdot x^{\frac{14}{3}}\cdot y^{\frac{8}{3}}[/tex]

[tex]\implies 4 x^{\frac{14}{3}}y^{\frac{8}{3}}[/tex]

Expand [tex]\bf{(8x^{7}y^{4})^{\frac{2}{3} } }[/tex]

[tex]\bf{8^{\frac{2}{3} }(x^{7})^{\frac{2}{3} }(y^{4})^{\frac{2}{3} } }[/tex]

To raise a power to another power, multiply the exponents. Multiply 7 and 2/3 to get 14/3.

[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }(y^{4})^{\frac{2}{3} } }[/tex]

To raise a power to another power, multiply the exponents. Multiply 4 and 2/3 to get 8/3.

[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }y^{\frac{8}{3} } }[/tex]

Calculate 8 to the power of 2/3 and you get 2/4.

[tex]\bf{4x^{\frac{13}{4} }y^{\frac{8}{3} } \ \ ==== > \ \ \ Answer }[/tex]

Answer:

2740 is your total; p = 40n + 1900 is your equation.

Step-by-step explanation:

"p" represents total pay; "n" represents the number of copies he sells.

Base salary is 1900, and each copy sold gives him an extra 40

p = 40n + 1900 is your equation.

If he sells 21 copies. Plug in 21 for n

p = 40n + 1900

p = 40(21) + 1900

Simplify. Remember to follow PEMDAS. First, multiply, then add.

p = 40(21) + 1900

p = 840 + 1900

p = 2740

~

The value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1

The expression is given as:

[tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex]

Take the LCM of terms of the expression

[tex]\frac{x}{x +3} + \frac{3}{x + 3} = \frac{x + 3}{x +3}[/tex]

Evaluate the quotient of x + 3 and x + 3

[tex]\frac{x}{x +3} + \frac{3}{x + 3} = 1[/tex]

Hence, the value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1

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Answer:

10 units

Step-by-step explanation:

calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 4, 4 ) and (x₂, y₂ ) = (4, - 2 )

d = [tex]\sqrt{(4-(-4))^2+(-2-4)^2}[/tex]

   = [tex]\sqrt{(4+4)^2+(-6)^2}[/tex]

    = [tex]\sqrt{8^2+36}[/tex]

    = [tex]\sqrt{64+36}[/tex]

    = [tex]\sqrt{100}[/tex]

     = 10

The domain restrictions on the rational function [tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex] are (b) x = 3 or and (d) x = -4

The function as expressed in the correct format is:

[tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex]

Factorize the denominators of the fractions

[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x^2 + 4x- 3x - 12} = \frac{x}{2}[/tex]

Factor out x and -3

[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x(x + 4)- 3(x + 4)} = \frac{x}{2}[/tex]

Factor out x + 4

[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{(x- 3)(x + 4)} = \frac{x}{2}[/tex]

Set the denominators to 0

4(x - 3) = 0

(x - 3)(x + 4) = 0

Solve for x:

4(x - 3) = 0 ⇒ x = 3

(x - 3)(x + 4) = 0 ⇒ x = 3 or x = -4

This means that the domain restrictions on the rational function are (b) x = 3 or and (d) x = -4

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Hey there!

10 + 5 + 0 + (-5) + (-10) + (-15)

= 10 + 5 - 5 - 10 - 15

= 15 - 5 - 10 - 15

= 10 - 10 - 15

= 0 - 15

= -15

Therefore, the answer should be: -15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

t = 3

Step-by-step explanation:

Given: 9t - (2t - 4) = 25

Distributive property: a(b + c) = ab + ac

1. Distribute '-' or '-1'

9t + -1(2t) + -1(-4) = 25

9t - 2t + 4 = 25

2. Combine like terms

7t + 4 = 25

3. Subtract 4 from both sides

7t + 4 - 4 = 25 - 4

7t = 21

4. Divide both sides by 7 to isolate the variable

7t ÷ 7 = 21 ÷ 7

t = 3

Learn more about the distributive property and equations here:

A rectangular prism is a shape that has six faces which are rectangular.

Your information is incomplete as the diagram of the rectangular prism isn't given. Therefore, an overview will be given.

It should be noted that a rectangular prism simply means a three dimensional sold shape that has six faces that are rectangles.

The formula that's used to calculate the volume of a rectangular prism will be:

= Length × Width × Height

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Answer:

B

Step-by-step explanation:

Since the y-intercept is -3 look for the graph that has the point (0,-3)

It is also called Middle Term Splitting

Its a cool thing with which you can solve different orders of polynomials(or any algebraic expressions if you're a pro).

It is writing an expression as a product of 2 or more factors

Answer:

factorization is of writing a number or another mathematical use as a product of several factors, usually smaller of the same kind.

Step-by-step explanation

3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.

        We will expand the factored form of (x − 9)(x − 1) into the same form as x² − 10x + 9 to show they are equal.

Distribute and multipy out:

(x − 9)(x − 1)

x * x = x²

x * -1 = -x

x * -9 = -9x

-9 * -1 = 9

Add together:

x² +  -x + -9x + 9

x² − 10x + 9

Use the Reflexive property:

x² − 10x + 9 = x² − 10x + 9 ✓

Answer:

X = 10.09

Step-by-step explanation:

Answer:

put x= 2 and y = 1

and see this inequality will holds

Answer:

3/5

Step-by-step explanation:

Concepts + Application + Solution

We can write the probability of this event happening like this:

For recap, a prime number is a number that's greater than 1 whose only factors are 1 and itself. Take the number 7 for example; its factors are only 7 and 1.

Given this information above, let's find the prime numbers in the spinner.

As you can see, we have 3/5 numbers that are prime, making the probability of landing on a prime number 3/5.

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

multiply numerator and denominator of [tex]\frac{1}{4}[/tex] by 3

[tex]\frac{1}{4}[/tex] = [tex]\frac{3(1)}{3(4)}[/tex] = [tex]\frac{3}{12}[/tex]

the 2 fractions now have a common denominator of 12 and can be added

[tex]\frac{1}{4}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{3}{12}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]

Answer:

5/24 square mm

Step-by-step explanation:

A = lw

A = 5/8 x 1/3

A = 5/24

The solution to the given quadratic expression using the completing the square is x = ±√-2 -5

This is a method of factoring quadratic expression. Given the quadratic function.

x^2 + 10x + 27 = 0

Subtract 27 from both sides

x^2 + 10x = -27

Complete the square

x^2 +10x +5^2 = -27 + 25

(x+5)² = -2
x +5 = ±√-2
x = ±√-2 -5

Hence the solution to the given quadratic expression using the completing the square is  x = ±√-2 -5

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Answer:

Because of the order of operations, we start the equation backwards because exponents are what we prioritize here.

[tex]3^2 = 9\\\\9 * 5 = 45\\\\\sqrt{-125} = -11.1803399\\\\45 - -11.1803399 = 56.1803399\\\\56.1803399 * 3 = \boxed{168.54}[/tex]                                      Result rounded to 2 DP

Answer:

33 cm^2

Step-by-step explanation:

To find the are of the figure as a whole, find the area of each rectangle individually and then add them together.

The area of a rectangle is [tex]A = bh[/tex], so the area of the small rectangle would be [tex]4*2[/tex], or [tex]8cm^2[/tex].

The area of the larger rectangle would be [tex]5*5[/tex], or [tex]25cm^2[/tex].

So, adding those areas together, we get [tex]33cm^2[/tex] as the area of the whole figure.

Answer:

=-3v-6

Step-by-step explanation:

Distribute:

=(−3)(v)+(−3)(1)+−3

=−3v+(−3)+(−3)

Combine like terms:

=(−3v)+(−3+(−3))

=−3v+−6

=-3v-6

Hope this helps, this was easy!

Answer:

72 is the closest.The printer will primt 80 pages in one minute

Answer:

72

Step-by-step explanation:

12 pgs in 9 sec

*[tex]\frac{20}{3}[/tex]             *[tex]\frac{20}{3}[/tex]

≈80 pgs in 60 sec

Hope this helps!!!

Please mark me as brainliest!!!

Answer:

17965.1

Step-by-step explanation:

Formula: V = 4/3 pi r^3

r = d/2

r = 32.5/2

r = 16.25

V = 4/3 * 3.14 * (16.25)^3

V = 17965.05   to the nearest tenth is

V = 17965.1  

Answer:

Heyyy!!!!!

I think the answer is 1/6.... Im not really sure...

Step-by-step explanation:

My explanation is that there are twelve people of whom 2 have red hair.

so the probability is 2/12 which simplifies to 1/6.

I really hope this helps!!!

Answer:

Step-by-step explanation:

Answer:

dude do this by your self this is to easy

Answer:

2106 m

Step-by-step explanation:

Answer:

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

Step-by-step explanation:

Suppose number is x

The square of the product of 5 and a number is not less than 46.

Step 1

Product of 5

5x

Step 2

Square of the product of 5

(5x)²

Step 3

A number is not less than 46

(5x)² ≥ 46

The sum of square of a number and five times that number is no more than 46

Step 1

Square of a number

x²

Step 2

Five times that number

5x

Step 3

The sum

x² + 5x

Step 4

Is no more than 46

x² + 5x ≤ 46

The product of 5 and the square of a number is greater than 46

Step 1

The square of a number

x²

Step 2

The product of 5

5x²

Step 3

Is greater than 46

5x² > 46

Answer:

78m

Step-by-step explanation:

6942 ÷ 89 = 78, here you go!