Which of the following is an example of the associative property of multiplication?

7 · (3 · 5) = (7 · 3) · 5
7 · (3 + 5) = 21 + 35
7 · (3 · 5) = 7 · (5 · 3)
7 · 1/7 = 1

Answer:

2000

Step-by-step explanation:

38.

R = 90x - x²

R = 90(50) - 50²

R = 4500 - 2500

R = 2000

Answer:

  50 minutes

Step-by-step explanation:

The rate is the same, so the time is proportional to the distance:

  time to Houston = (65 min)(190/248) ≈ 49.8 min ≈ 50 min

It would take Jane 50 minutes to fly 190 miles.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 0

Answer:

[tex] X = 70.5 [/tex]

Step-by-step explanation:

The law of Cosine given can be written in another form to make the Cos(C) the subject of the formula. Which is: [tex] cos(C) = \frac{a^2 + b^2 - c^2}{2ab} [/tex]

Where,

a = 20 ft

b = 18 ft

c = 22 ft

C = X

[tex] cos(X) = \frac{20^2 + 18^2 - 22^2}{2*20*18} [/tex]

[tex] cos(X) = \frac{400 + 324 - 484}{720} [/tex]

[tex] cos(X) = \frac{240}{720} [/tex]

[tex] cos(X) = 0.3333 [/tex]

[tex] X = cos{-1}(0.3333) [/tex]

[tex] X = 70.5 [/tex]

Answer:

0.17

Step-by-step explanation:

0.017 times 10 will equal to 0.17 as you will need  to move the decimal point forward by one

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

Explanation:

The GCF of the coefficients {6, -42, 14} is 2 as it is the largest factor found in each of the three values.

----------

For the variable portions, we can

Each time we see z^3 show up, so this is the largest common factor among the three variable terms.

----------

The two results we got were 2 and z^3

Putting the two results together, we end up with the overall GCF of 2z^3

For the 2003 solar eclipse, it lasted 217 seconds (3 minutes, 37 seconds).

Answer:

510,064,471,910,000 m² or 5.1 x 10^14 m²

Step-by-step explanation:

4πr²

if the diameter is 12742, then the radius is 6371

4π(6371)²

510,064,471.91 km²

510,064,471,910,000 m²

Answer:

510064471909788 m²

Step-by-step explanation:

diameter=12742  so the radius r=12742/2=6371=6371*1000=6371000

A=4πr²

A=4π(6371000)²

A=162358564000000π =510064471909788 m²

Answer:1

Step-by-step explanation:

Answer:

8,736,000

Step-by-step explanation:

Answer:

The answer is 8,736,000

Answer:

[tex]\Large \boxed{\mathrm{see \ below}}[/tex]

Step-by-step explanation:

Given.

(4x)/7 - 6 = -20

The x variable should be isolated on one side of the equation.

Adding 6 to both sides of the equation.

(4x)/7 - 6 + 6 = - 20 + 6

(4x)/7 = - 14

Multiplying both sides of the equation by 7.

(4x)/7 × (7) = - 14 × (7)

4x = - 98

Dividing both sides of the equation by 4.

(4x)/4 = - 98/4

x = - 24.5

Answer:

ar some point pattern A will have the same numbers as pattern B as it moves along like if you add 3 for 2 more times in pattern A it will have 24 and so on..

Answer:

the inverse is the third choice

Answer:

5 times the sum of the digits of the number is 9 less than the number formed by reversing digits. → x = (5y - 9)/4 -- equation (1). Case - 2 : And, 4 times the value of the digits at ones place is equal to half the place value of digit at tens place (10x/2).

Answer:

2

Step-by-step explanation:

f(-1)=(-1)²+1=1+1=2

Answer:

The answer is

Step-by-step explanation:

? A) The sum of x and y is a rational number.

Hope this helps....

Have a nice day!!!!

Answer:

25 Ft

Step-by-step explanation:

you multiply it's so the square root is 25 ft

Let f(x) = mx+b. Also, let g(x) be the inverse of f(x)

To find the inverse, we start with y = mx+b and swap x and y. From there, we solve for y like so

y = mx+b

x = my + b

x-b = my

my = x-b

y = (x-b)/m ... note m is in the denominator, so m cannot be 0

y = (x/m) - (b/m)

y = (1/m)x - (b/m)

g(x) = (1/m)x - (b/m)

This new equation is linear because it is in the form (slope)x+(y intercept)

The new slope is 1/m and the new y intercept is -b/m

So this proves that the inverse g(x) is linear when f(x) is linear.

The inverse function is:

[tex]y = \frac{x}{m} - \frac{b}{m}[/tex]

Since [tex]m \neq 0[/tex] and [tex]x \neq b[/tex], it is a linear function with slope [tex]\frac{1}{m}[/tex] and intercept [tex]-\frac{b}{m}[/tex].

---------------------------------

[tex]y = mx + b[/tex]

In which:

[tex]x = my + b[/tex]

[tex]my = x - b[/tex]

[tex]y = \frac{x}{m} - \frac{b}{m}[/tex]

Since [tex]m \neq 0[/tex] and [tex]x \neq b[/tex], it is a linear function with slope [tex]\frac{1}{m}[/tex] and intercept [tex]-\frac{b}{m}[/tex].

A similar problem is given at https://brainly.com/question/18594541

Answer:92

Step-by-step explanation:

f(3)=3^4+3^2+2=81+9+2=90+2=92

The Remainder Theorem states that

⇛ If a polynomial f(x) is divided by a linear divisor (x – a), the remainder is f(a)

[tex] \Large{ \boxed{ \bf{ \color{green}{Solution:}}}}[/tex]

Given,

We don't need to divide by (x−3) ...

☃️Just calculate p(3):

Then, Using remainder theoram,

➝ (3)^4 + (3)^2 + 2

➝ 81 + 9 + 2

➝ 92

☘️ So, The remainder is 92

Option B

━━━━━━━━━━━━━━━━━━━━

Answer:

+12

Step-by-step explanation:

1. distribute the negative 5 to 2y and negative 7

2. combine like term's -3+12-10y+35

3.Get the Y value by itself -44 from both sides -44-2y=

                                                                             -44         -44

4. divide negative 2 from both sides 2y=-44

                                                            -2= -2

Answer:

4/5 pounds is your answer

Step-by-step explanation:

You need to simply divide 9 to 5. You will get 1.8, but when you turn it into a fraction you get 4/5 lbs

Hope this helps! :D

Answer: y = 40

Explanation: In this problem, notice that y is being divided by 8 so to

get y by itself, we need to multiply both sides of the equation by 4.

So we have (8)(y/8) = (5)(8).

Noice that on the left side, the 8 and 8

cancel each other out so we're just left with y.

On the right side, we have (5)(8) which is 40.

So we have y = 40.

Answer: so what you want to do is you have the equation.

Y/8=5

so you can just say it's Y divided by 8 = 5.

The inverse operation of division is multiplication.

so know it would be y×8=5. so you would multiply 8 by 5. which would be 40 so y=40. a way to check it is subsituting 40 for Y. 40/8=5

Answer:

1) El valor de los ocho helados de crema es 76,48 pesos, 2) El valor total de la compra es 85,97 pesos, 3) A Miguel le queda 13,59 pesos después de pagar en el supermercado.

Step-by-step explanation:

Supóngase que los costes son en pesos mexicanos. (MXN)

1) ¿Cuál es el valor de los ocho helados y que operación debe realizar?

Se multiplicar la cantidad de helados comprados por su valor unitario, es decir:

[tex]x = (8\,helados)\cdot \left(9,56\frac{MXN}{helado} \right)[/tex]

[tex]x = 76,48\,MXN[/tex]

El valor de los ocho helados de crema es 76,48 pesos.

2) ¿Cuál es el valor total que debe pagar en la tienda?

El valor total es la suma de todos los costes de los elementos comprados:

[tex]y = 76,48\,MXN + (1\,papa)\cdot \left(3,70\,\frac{MXN}{papa} \right)+(1\,gaseosa)\cdot \left(4,525\frac{MXN}{gaseosa} \right)+(1\,chocolatina)\cdot \left(1,267\,\frac{MXN}{chocolatina} \right)[/tex]

[tex]y = 85,97\,MXN[/tex]

El valor total de la compra es 85,97 pesos.

3) Si Miguel tiene en su bolsillo $99,56. ¿Cuánto dinero le queda después de pagar en el supermercado?

El remanente se obtiene al sustraer el valor total de la compra del efectivo disponible:

[tex]z = 99,56\,MXN-85,97\,MXN[/tex]

[tex]z = 13,59\,MXN[/tex]

A Miguel le queda 13,59 pesos después de pagar en el supermercado.

Answer:

[tex]\boxed{x = -1}[/tex]

Step-by-step explanation:

Hey there!

Well a vertical line means it starts with x =,

Whereas a horizontal line starts as y =.

So if the x intercept is at -1 then the equation is x= -1.

Hope this helps :)

Answer:

x = -1

Step-by-step explanation:

Answer:

c = b/a

Step-by-step explanation:

Solve for c:

b/c = a

Hint: | Transform b/c = a so that c only appears in the numerator.

Take the reciprocal of both sides:

c/b = 1/a

Hint: | Solve for c.

Multiply both sides by b:

Answer: c = b/a

Answer:

The statement that is true is:

A debt of $17 is a larger value than a debt of $20.

Step-by-step explanation:

Let us look at the statements one after the other to determine if they are true or not:

1) A debt of $17 is a larger value than a debt of $20: This is true because when measuring debts, we will consider the values in the negative sense (-). Therefore, a debt of $17 has a value of (-17) and a debt of $20 has a value of (-20). -17 is larger than - 20 on a number line, hence, a debt of $17 has a larger value for the debtor, than a debt of 20$

2) One half an apple is equivalent to 8 fourths apples:

one half an apple = [tex]\frac{1}{2}\ of\ an\ apple[/tex]

8 fourths of an apple = [tex]\frac{8}{4} = \frac{2}{1}\ of\ and\ apple[/tex]. Therefore, one half of an apple is not equivalent to 8 fourth of an apple.

3) 8.01 is a smaller increase in sales than 8.001: This statement is false because 8.001 is counted before 8.01, and the difference between 8.01 and 8.001 is:

8.01 - 8.001 = +0.009, hence, 8.01 is larger than 8.01 by a magnitude of 0.009

4) [tex]\frac{2}{3}\ below\ zero[/tex] is a lower temperature than 6 below zero:

[tex]\frac{2}{3}\ below\ zero\ = (-\frac{2}{3})^\circ[/tex]

6 below zero = - 6°

On the number line, -6 is smaller than [tex]-\frac{2}{3}[/tex] hence the statement is false.

Answer:

[tex]\bold{g(x) = x+1}[/tex]

Step-by-step explanation:

Given a function:

[tex]F(x) =-x+1[/tex]

To find:

Function [tex]g[/tex] whose graph is a reflection in the y -axis for the given function = ?

Solution:

First of all, let us learn about the reflection of a point ([tex]x, y[/tex]) in y axis.

For example, let us consider a point (3, 2) on the coordinate axis.

The reflection of this point in y axis will be (-3, 2)

OR

In other words, To find the image of a point in y axis:

the x coordinate is made of negative sign and y coordinate remains the same.

A line is nothing but a number of points joined together.

So, if we want to find reflection of a line or linear function in y axis, we just make the sign of x as negative.

Given that [tex]F(x) =-x+1[/tex]

We can write it as:

[tex]F(x)=y =-x+1[/tex]

To find its reflection:

[tex]g(x) = - (-x)+1\\\Rightarrow \bold{g(x) = x+1}[/tex]

Please refer to the attached graphs of [tex]F(x)[/tex] and [tex]g(x)[/tex] .

So, the answer is:

[tex]\bold{g(x) = x+1}[/tex]

Answer:

0

Step-by-step explanation:

Answer:

x=3 y=1

x=4 y=2

x=5 y=3

x=6 y=4

Step-by-step explanation:

add y to both sides to get:

2x-4=y

pull out the 2 from 2x-4 to get:

2(x-2)-y = 0

We need to know that x-2 cannot equal 0 or else the solution will be negative. So we need to make x-2 equal to any other number that is not negative and make y the inverse of x-2 so they cancel out and be zero. so some solutions are:

x=3 y=1

x=4 y=2

x=5 y=3

x=6 y=4

Step-by-step explanation:

Let x and y pounds of Candy A and Candy B be mixed respectively.

Rate of Candy A and Candy B are $0.78 and $1.33 per pound respectively.

Now,

(A) x + y = 8

(B) 0.78x + 1.33y = 7.84

Solving both equations :

0.33y = 1.6

x = 3.16 pounds of Candy A

y = 4.84 pounds of Candy B