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3 years ago

How many dots are there at t minutes? Solve the problems by your preferred method. Your

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

3 0

<h2>Answer:</h2>

The image to the question is missing, but I found a matching image, which is attached to this solution

Answer:

3 minutes = 13 dots

100 minutes = 401 dots

t minutes = 4(t) + 1 dots

Step-by-step explanation:

From the image, the following can be noticed:

time (Mins) dots

0 1

1 5

2 9

The pattern gotten from this progression is that, if the time is multiplied by 4, and the result added to one, the result will be the number of dots.

hence, when the time is 0 minutes:

0 × 4 = 0

0 + 1 = 1 ( 1 dot)

when the time is 1 minute

1 × 4 = 4

4 + 1 = 5 (5 dots)

when the time is 2 minutes

2 × 4 = 8

8 + 1 = 9 ( 9 dots)

Therefore,

when the time = 3 minutes

3 × 4 = 12

12 + 1 = 13 dots

at 100 minutes:

100 × 4 = 400

400 + 1 = 401 dots

at t miutes

t × 4 = 4t

4t + 1 = number of dots

Therefore number of dots at t minutes = 4(t) + 1

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goldfiish [28.3K]

Answer:

2,4,5,and 7

Step-by-step explanation:

a term is either a single number or variable, or numbers and variables multiplied together.

8 0

3 years ago

the formula for the total surface area of a cylinder is S=2pir^2 + 2pirh. Explain how you could use the distributive property to

Ivahew [28]

You undistribute like
ab+ac=a(b+c) so

2pir^2+2pirh=(2pir)(r)+(2pir)(h)=2pir(r+h)

7 0

3 years ago

The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x. We know the length is 9

Lerok [7]

Given:

The value of the solid's surface area is equal to the value of the solid's volume.

Length(l) = 9 units

width(b) = 4 units

Height(h) = x units

To find:

The value of x.

Solution:

Solid's surface area is

$Area=2(lb+bh+hl)$

$Area=2(9\times 4+4\times x+x\times 9)$

$Area=2(36+4x+9x)$

$Area=2(36+13x)$

$Area=72+26x$

Volume of solid is

$Volume=l\times b\times h$

$Volume=9\times 4\times x$

$Volume=36x$

Solid's surface area = Volume of solid

$72+26x=36x$

$72=36x-26x$

$72=10x$

Divide both sides by 10.

$7.2=x$

Therefore, the value of x is 7.2.

4 0

3 years ago

Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6

ElenaW [278]

<h2>Answer</h2>

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

Or as ordered pairs: $(\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)$

<h2>Explanation</h2>

Lets solve our system of equations step by step

$x^2+y^2=6$ equation (1)

$x^2-y=6$ equation (2)

1. Solve for $x^2$ in equation (2)

$x^2-y=6$

$x^2=6+y$ equation (3)

2. Replace equation (3) in equation (1) and solve for $y$

$x^2+y^2=6$

$6+y+y^2=6$

$y^2+y=0$

$y(y+1)=0$

$y=0$ or $y=-1$

3. Replace the values of $y$ in equation (3) and solve for $x$

- For $y=0$

$x^2=6+y$

$x^2=6$

$x=\sqrt{6}$ or $x=-\sqrt{6}$

- For $y=-1$

$x^2=6+y$

$x^2=6-1$

$x^2=5$

$x=\sqrt{5}$ or $x=-\sqrt{5}$

So, the solutions of our system of equation are:

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

6 0

3 years ago

Read 2 more answers

CAN SOMEONE HELP ME WITH THIS QUESTION!!!

earnstyle [38]

Answer:

Step-by-step explanation:

let a, b, c represent the number of students in 6th, 7th, 8th grade

ratio of students : teachers = 28 : 1

There are 82 teachers , so 28 × 82 = 2296 students

Then

a + b + c = 2296 , that is

828 + b + c = 2296 ( subtract 828 from both sides )

b + c = 1468 → E

8 0

3 years ago