Simplify the expression. w5(w2)–4

To solve this problem, set up equations based on the given information. M = C - 5 and M - 7 = (C - 7) / 2. Solve the system of equations to find Maura's age (19).

To solve this problem, we can set up equations based on the given information. Let's let M represent Maura's age and C represent Cara's age.

The first clue tells us that Maura is 5 years younger than Cara, so we can write the equation M = C - 5.

The second clue tells us that seven years ago, Maura was half as old as Cara. So seven years ago, Maura's age was M - 7 and Cara's age was C - 7. We can write the equation M - 7 = (C - 7) / 2.

Now we can solve this system of equations to find Maura's age. Substituting the value of M from the first equation into the second equation, we get (C - 5) - 7 = (C - 7) / 2. Simplifying and solving for C, we find that Cara's current age is 24. Substituting this value back into the first equation, we find that Maura's current age is 19.

Martha in:

1.5 hours will make: $4.88

2.5 hours will make: $8.13

3.5 hours will make: $11.38

Answer:

The answer is (3, 8)

Step-by-step explanation:

so next time you try to make a exponent use ^ exsample 3^9  3 to the power of 9 anyways since the x axis or sum is 3 it is y = 2^3 multiply it so 2 x 2 x 2 = 8 so that answer is (3, 8)

if correct please crown

Option: A is the correct answer.

The mathematical representation of the given statement is:

                       [tex]5(p+r)[/tex]

We are asked to represent the given expression in words to numerical expression.

The statement is:

5 times the sum of p and r

The sum of p and r is:  (p+r)

and now 5 times the sum of p and r i.e. 5 is multiplied to the sum of p and r.

i.e.

[tex]5(p+r)[/tex]

Answer:

15

Step-by-step explanation:

Use the slope formula to find the slope m.

m= y2-y1 / x2-x1

m=  6-3/0.4-0.2

m=15

C) Subtraction Property of Equality; Multiplication Property of Equality

- Prodixy ☕

what is the area of this triangle 13in 94 degrees 7.5 in

Answer:

Area of the circle = 1.3π m²

Step-by-step explanation:

Area of the circle is given by the formula A = πr²

It is given that area of the circle is 4.1 m² and we have to convert it in the terms of π.

Now to convert the area in terms of π we will multiply the area by π and divide the area by 3.14.

⇒ Area×π / 3.14 = 4.1 × π/3.14 = 1.30π

Therefore answer is area of the circle = 1.30π m²

(4,3) is the required solution set for the given equation

Given equation is x+1=√9x-11

Thus solving above equation for x :

[tex]x+1=\sqrt{9x-11}\\[/tex]

Squaring throughout we get,

[tex](x+1)^{2} =9x-11\\x^{2} +2x+1=9x-11\\x^2+2x-9x+1+11=0\\x^2-7x+12=0\\x^2-3x-4x+12=0\\x(x-3)-4(x-3)=0\\(x-4)(x-3)=0\\[/tex]

Thus we get :

Either (x-4) = 0 or (x-3) = 0

Thus we have x = 4 or x = 3  

Hence x = 4 or x = 3 is the solution set

First, calculate the number of attendees from within the state by multiplying the total by 64% to get 1,600 people. Subtract this from the total to find the number of out-of-state attendees, 900 people.

This is a problem of percentage utilization and subtraction. First, we must determine the number of in-state attendees by multiplying the total number of attendees (2500 people) by the given percentage of in-state visitors (64%).

So, 2500 people x 0.64 = 1600 people.

These are the people who attended from within the state. To find out how many visitors came from out of state, we subtract this number from the total: 2500 people - 1600 people = 900 people. Therefore, 900 people attended the museum from out of state on Sunday.

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The Domain of the function {(−3, 6), (0, 2), (4, 7), (11, 15)} is  

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input.

Given:

Set :{(−3, 6), (0, 2), (4, 7), (11, 15)}

So, the Domain is the input value

Domain = { -3, 0, 4, 11}

and, the range is output value

Range= {6, 2, 7, 15}

Hence, the domain is { -3, 0, 4, 11}.

Learn more about domain here:

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To solve the equation 6s - 4 = 8 (2 + 1/4s), simplify and isolate the variable 's'. The solution is s = 5.

To solve the equation 6s - 4 = 8 (2 + 1/4s), we need to simplify and isolate the variable 's'. First, distribute the 8 to both terms inside the parentheses:

6s - 4 = 16 + 2s

Next, move the variable terms to one side of the equation and the constant terms to the other side by subtracting 2s from both sides and adding 4 to both sides:

6s - 2s = 16 + 4

Combine like terms to simplify:

4s = 20

Finally, divide both sides by 4 to solve for 's':

s = 5

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Answer:  The correct option is

(C) [tex]T^{-1}(x,y)\rightarrow \left(\dfrac{1}{5}x,\dfrac{1}{5}y\right).[/tex]

Step-by-step explanation:  We are given a transformation T defined as :

[tex]T:(x,y)\rightarrow (5x,5y).[/tex]

We are to find the inverse transformation [tex]T^{-1}(x,y).[/tex]

From the given transformation, we have

[tex]T:(x,y)\rightarrow (5x,5y)\\\\\Rightarrow T^{-1}(5x,5y)=(x,y).[/tex]

Let us consider that

[tex]5x=z~~~~~~\Rightarrow x=\dfrac{z}{5},\\\\\\5y=t~~~~~~\Rightarrow y=\dfrac{t}{5}.[/tex]

Therefore, we get

[tex]T^{-1}(5x,5y)\rightarrow(x,y)\\\\\Rightarrow T^{-1}(z,t)\rightarrow \left(\dfrac{z}{5},\dfrac{t}{5}\right)\\\\\\\Rightarrow T^{-1}(x,y)\rightarrow \left(\dfrac{1}{5}x,\dfrac{1}{5}y\right).[/tex]

Thus, (C) is the correct option.

Answer:

[tex](a+5b)(a-5b)[/tex]

Step-by-step explanation:

[tex]a^2 - 25b ^2[/tex]

Factor completely

write 25 in square form , 25= 5^2

[tex]a^2 -5^2b ^2[/tex]

[tex]a^2 -(5b)^2[/tex]

Apply difference of squares formula to factor it

[tex]x^2 - y^2 = (x+y)(x-y)[/tex]

[tex]a^2 -(5b)^2[/tex]

x= a  and y=5b

[tex](a+5b)(a-5b)[/tex]