You spend 10 minutes playing video games. You then spend 1-hour doing homework. Write the ratio of the amount of time spent playing video games to the amount of time spent doing homework as a fraction in simplest form.

Answer:

I can't see it

Step-by-step explanation:

you should zoom in a little bit please

Answer:

3 friends played golf.

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

1/4+3/8=5/8

Answer:

x = -4 and y = 12

Step-by-step explanation:

Since you have y = -x + 8 you can substitute this into the first equation where y was so you have 3x + 4(-x + 8) = 36.

That way, there is only one variable and it is easier to solve.

3x + 4(-x + 8) = 36

3x -4x + 32 = 36

-x +32 = 36

-x = 4

x = -4

Plugging this into the equation y = -x +8,

y = -(-4) + 8

y = 4 + 8

y = 12

I did the first question as reference. Pretty simple once you get it!

Answer:

a) The building is 150 m tall

b) h(t)=-5(t+6)(t-5)

c) The stone hits the ground at 5 seconds.

Step-by-step explanation:

Function Models

The path of a stone thrown down from a tall building is modeled by the function:

[tex]h(t)=150-5t-5t^2[/tex]

Where h is the height in meters and t is the time in seconds after the stone is thrown.

a) To find the height of the building, we set t=0 because it's the moment when the stone is thrown and has the same height as the building:

[tex]h(0)=150-5*0-5*0^2[/tex]

[tex]h(0)=150[/tex]

The building is 150 m tall

b) The function is

[tex]h(t)=150-5t-5t^2[/tex]

Factoring out -5:

[tex]h(t)=-5(-30+t+t^2)[/tex]

Rearranging:

[tex]h(t)=-5(t^2+t-30)[/tex]

To factor the polynomial in parentheses, we must find two numbers whose product is -30 and sum is 1. We can also use the quadratic formula to find the roots and factor later.

These numbers are 6 and -5, thus the function is:

[tex]h(t)=-5(t+6)(t-5)[/tex]

c) The stone hits the ground when h=0:

[tex]-5(t+6)(t-5)=0[/tex]

The equation has two solutions:

t = -6

t = 5

The only feasible solution is t = 5, thus the stone hits the ground at 5 seconds.

Answer:

a) [tex]f(n) = n^{2}[/tex]

[tex]f(1) = 1[/tex], [tex]f(2) = 4[/tex], [tex]f(3) = 9[/tex], [tex]f(4) = 16[/tex], [tex]f(5) = 25[/tex]

b) [tex]f(n) = n^{3}[/tex]

[tex]f(1) = 1[/tex], [tex]f(2) = 8[/tex], [tex]f(3) = 27[/tex], [tex]f(4) = 64[/tex], [tex]f(5) = 125[/tex]

c) [tex]f(n) = n^{2}+n^{3}[/tex]

[tex]f(1) = 2[/tex], [tex]f(2) = 12[/tex], [tex]f(3) = 36[/tex], [tex]f(4) = 80[/tex], [tex]f(5) = 150[/tex]

Step-by-step explanation:

This formulas uses only natural numbers, which means that [tex]n \ge 1[/tex]. Then, we evaluate each function at 1, 2, 3, 4 and 5:

a) [tex]f(n) = n^{2}[/tex]

[tex]f(1) = 1[/tex], [tex]f(2) = 4[/tex], [tex]f(3) = 9[/tex], [tex]f(4) = 16[/tex], [tex]f(5) = 25[/tex]

b) [tex]f(n) = n^{3}[/tex]

[tex]f(1) = 1[/tex], [tex]f(2) = 8[/tex], [tex]f(3) = 27[/tex], [tex]f(4) = 64[/tex], [tex]f(5) = 125[/tex]

c) [tex]f(n) = n^{2}+n^{3}[/tex]

In which each element is the sum of respective results found in a) and b).

[tex]f(1) = 2[/tex], [tex]f(2) = 12[/tex], [tex]f(3) = 36[/tex], [tex]f(4) = 80[/tex], [tex]f(5) = 150[/tex]

Answer:

a

Step-by-step explanation:

Answer:

It b.

Step-by-step explanation:

You can use demos for this (graphing calculator. :)

Answer:

1:3 I think

Step-by-step explanation:

3/3=1

9/3=3

Answer:

3/9 = 1/3

Step-by-step explanation:

simplifying

Answer:

b

Step-by-step explanation:

Answer:

The answer is B :)

Step-by-step explanation:

Answer:

2062 employees

Step-by-step explanation:

Basically, you have an exponential function going on here. If you start with 900 employees and add 5 percent to the amount of employees (multiply by 1.005) seventeen times, you will get the equation [tex]E=900*1.05^{17}[/tex]. If we round down (because there can not be a fraction of an employee), there will be 2062 employees after 17 years.

Answer:

sorry but can u give me full question

Step-by-step explanation:

like picture

Answer:

x = 7

y = 2

Step-by-step explanation:

x² - y² = 45    

(x+y) (x-y) = 45

x + y = 9   (known)

9 x  (x-y) = 45

x - y = 5

y = x-5  

x + (x - 5) = 9  (substitute)

2x = 14

x = 7

y = 2

Answer:

b i am pretty sure

Step-by-step explanation:

Direction, displacement, and distance are the measurements are necessary for determining both the speed and velocity of a moving object

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.

The measurements which are necessary for determining both the speed and velocity of a moving object.

Speed=Distance/Time

To calculate speed we need to know the distance and time.

Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference

Velocity=Displacement / Time

Hence  Direction, displacement, and distance are the measurements are necessary for determining both the speed and velocity of a moving object

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Answer:

Y=4

Step-by-step explanation:

The line is horizontal, which means that variable would be 4. The line starts at 4, which mean the equivalent of the variable is 4.

Answer:

How might an author's point of view be related to his or her purpose?

Step-by-step explanation:

Answer:

p = 6

Step-by-step explanation:

3p - 4 = 14 / +4

3p = 18 / ÷ 3

p = 6

Answer:

18

Step-by-step explanation:

you have to do the inverse so first you need to do 33/3=11 then because it says -7 you add 7 to 11 which is 18.

i hope this helps

The value of 'x' in the given linear equation is 4.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."

Given liner equation is:

3(x - 7) = 33

⇒ 3x - 21 = 33

⇒ 3x = 33 - 21

⇒ 3x = 12

⇒ x = 4

Therefore, the value of 'x' is 4.

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Answer:

4 quizzes are taken per week

Step-by-step explanation:

12/3=4

20/5=4

Answer:

2

Step-by-step explanation:

Answer:

The x is the domain and the y is the range. It's still a function

Step-by-step explanation:

Answer:

It can be simplified to: -4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

combine like terms 8n-8n-6+2

8n-8n=0 so

-6+2=-4

Answer:

27

Step-by-step explanation:

Answer:

c) 100

Step-by-step explanation:

Answer:

The answer is B

The numbers -2.23   [tex]-2\frac{2}{5}[/tex], and -0.95 are numbers that are less than -0.94 option (B) is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have a number list:

-15/16, 0.24, -2.23, 97%, [tex]-2\frac{2}{5}[/tex], -0.95

We can write these numbers such as:

-0.9375, 0.24, -2.23, 0.97, -2.4, -0.95

Now comparing the each number with -0.94

-0.9375 > -0.94

0.24 > -0.94

-2.23 < -0.94

0.97 > -0.94

[tex]-2\frac{2}{5}[/tex] or -2.4 < -0.94

-0.95 < -0.94

Thus, the numbers -2.23   [tex]-2\frac{2}{5}[/tex], and -0.95 are numbers that are less than -0.94 option (B) is correct.

Learn more about the inequality here:

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Answer:

Step-by-step explanation:

investment

Answer:

15 - 5x

Step-by-step explanation:

10 - 5(x - 1)

Multiply 5 by x and 1 using the distributive property.

10 - 5x + 5

Add like units. 10 + 5 = 15

15 - 5x is your final answer.