Mathematics High School

Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be with 16 white squares?

Answers

Answer 1

Answer:

20 gray squares

Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

The white squares

[tex]a = 2[/tex] --- initial

[tex]d = 4 - 2 = 6 - 4[/tex]

[tex]d = 2[/tex] -- difference between successive gray squares

So, the nth term is:

[tex]W_n = a + (n - 1)d[/tex]

[tex]W_n = 2 + (n - 1)*2[/tex]

[tex]W_n = 2 + 2n - 2[/tex]

[tex]W_n = 2n[/tex]

The gray squares

[tex]a = 6[/tex] --- initial

[tex]d = 8-6=10-8[/tex]

[tex]d = 2[/tex] -- difference between successive gray squares

So, the nth term is:

[tex]G_n = a + (n - 1)d[/tex]

[tex]G_n = 6 + (n - 1) *2[/tex]

[tex]G_n = 6 + 2n - 2[/tex]

[tex]G_n = 4 + 2n[/tex]

When the white squares is 16

[tex]W_n = 16[/tex] --- Calculate n

[tex]W_n = 2n[/tex]

[tex]16 = 2n[/tex]

[tex]8 = n[/tex]

[tex]n = 8[/tex]

To get the number of gray squares;

Substitute [tex]n = 8[/tex] in [tex]G_n = 4 + 2n[/tex]

[tex]G_n = 4 + 2 * 8[/tex]

[tex]G_n = 20[/tex]

Gary Draws This Sequence Of Patterns Of White And Grey Squares. The Sequence Is Continued. How Many Grey

Related Questions

What is the volume of the rectangular prism?



Question 8 options:

738 ft3


272 ft3


1296 ft3


34 ft3

Answers

Answer:

The volume is Lenght * width * Height

16 * 9 * 9 = 1296 ft cube

Determine the value of y-x ( •︠ˍ•︡ ) ​

Answers

Answer:

822

rhdjd dbd fn f f fnf f g g

Pls help Brainelist if correct

The first triangle is dilated to form the second triangle. What is the scale factor? Please show your math work step by step.

Answers

I would help if there was a picture, but there isn’t a picture attached

The slope of a line Ax + By + C = 0 is
A. m = A/B
B. m = -A/C
C. m = B/A
D. m = -A/B

Answers

Hope this helps :)
Enjoy ur day

1,5,9,13. what's the 8th 13th 17th and 23rd term​

Answers

Answer:

8th 29

13th 53

17th 69

23rd 91

Help! need this answer quick! ​

Answers

c

b doesn't equal any of that

Create an equation to solve for x using the trapezoid midsegment formula:

Answers

Answer:

Equation for x:    3x - 6 = [tex]\frac{2x - 1 + 25}{2}[/tex]

x = 9

CD = 17

GH = 21

Step-by-step explanation:

The midsegment formula for a trapezoid is

GH = [tex]\frac{CD + FE}{2}[/tex]

3x - 6 = [tex]\frac{2x - 1 + 25}{2}[/tex]

6x - 12 = 2x + 24

4x = 36

x = 9

CD = 2x - 1 = 2(9) - 1 = 18 - 1 = 17

GH = 3x - 6 = 3(9) - 6 = 3 = 27 - 6 = 21

I NEED HELP ASAP BEFORE MARCH 26
Find the Value of x

Answers

Answer:

100 degrees

Step-by-step explanation:

all angles in a triangle add up to 180 degrees, so,

45+35=80

180-80=100

hope this helps!!!

100
hope this helps :)

(2.6 x 106) + (4.2 x 106)

a
6.8 x 106

b
6.8 x 1012

c
8.4 x 106

d
3.2 x 1012

Answers

Answer:

720.8

Step-by-step explanation:

(2.6 × 106) + (4.2 × 106)

275.6 + 445.2

720.8

Jerry has $150 in his checking account.
He withdraws $7.50 a day for lunch.
Which of the following equations and
solutions represent the number of days,
x, it will take for Jerry's account to have a
balance of $112.50?
A 150 – 7.5x = 112.50; 5 days
B 150 - 7.5x = 112.50; 15 days
C 150 + 7.5x = 112.50; 5 days
D 150 +7.5x = 112.50; 15 days

Answers

Answer:

150 - 7.5x = 112.50; 5 days

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Good job

Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º

Answers

Answer:

x = 31.11

Step-by-step explanation:

Let us assume the third person receives be  x

Now the second person receives be 2x

And, the second  be 3(2x) = 6x

The total is 280

Now the equation is

x + 2x + 6x = 280

9x = 280

x = 31.11

Kendra washes windows in an office building. She washes 25 of the windows on Monday. She washes 13 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?

Answers

Answer:

4/15

Step-by-step explanation:

HELP AYUDA ✋
.
what is the constant of proportionality for the graph shown below?
.
/pls pls pls​

Answers

Answer:

Yaa!!! you are right option A is your answer

im spending all my points for this smh

Answers

Answer:

Ask a tutor girl under it you will see ask a tutor so click that

Can you guys pleas help me Find the answer to 523÷32 .

Answers

Answer:

16.34375

Step-by-step explanation:

Answer: 16.34 but if rounded16.30

Step-by-step explanation:

500
450
400
350
300
250
200
150
100
50
10
30
50
70
9
0
Write the equation of a line?

Answers

Answer:

Not proportional because it's not linear. Hope this helps

Please help what does x=?

Answers

Answer:

x = 25

Explanation:

If 9 is in the middle of the triangle, then the base of the triangle has to be twice as that. If you did 9•2, you’d get 18. But if you added 7, you’d get 25.

What is the surface area of this cylinder?

Answers

Answer:

1067.6 m²

Step-by-step explanation:

Given that

r = 10 mh = 7 mπ ≈ 3.14

Find the surface area of the cylinder!

Equation =

2πr × (r+h) =

(2 × 3.14 × 10) × (10 + 7) =

62.8 × 17 ≈

1067.6 m²

The surface area of the cylinder ≈ 1067.6 square metres

_________________

#Indonesian - kexcvi

Answer:

Use this formula to calculate for the surface area of cylinder.

Step-by-step explanation:

A=2π r h+2 π r^2.

use r = 10 m and h = 7 m

2 (3.14) (10) 7 + 2 (3.14) 10 ^2. = 439.6 + 628 = 1067.6

round to the nearest hundredths = 1068

Write the equation of the circle with a center at (11,6) and a radius of 6.

Answers

Answer:

(x-11)^2 + (y-6)^2= 6^2

Step-by-step explanation:

Answer:

(x - 11)² + (y - 6)² = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (11, 6 ) and r = 6, then

(x - 11)² + (y - 6)² = 6² , that is

(x - 11)² + (y - 6)² = 36

plz help giving brainlest

Answers

Answer:

area of square =l²=12²=144km²

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x=2y-7 and 4x+y=71 *

Answers

Answer:

The solution is (15, 11)  There is only one solution.

Step-by-step explanation:

Solve this system using substritution.  In the second equation replace x with 2y - 7, obtaining:

4(2y - 7) + y = 71, which simplifies as follows:

8y - 28 + y = 71, or

9y = 99.  then y must be 11.  If y is 11, then x = 2y - 7, or x = 2(11) - 7 = 15

The solution is (15, 11)  There is only one solution.

CAN SOMEONE PLEASE HELP ME

Answers

supplementary i think

what are the mean and medium to introduce peolpe​

Answers

Wym by that ask in a different way

NEED HELP!!!
WITH PROBLEM

Answers

Answer:

x=32 hope it helps, if it does can i get 5.0 or brainliest

Step-by-step explanation:

Pls answer quick if you don’t mind.

Answers

Answer:

A

Step-by-step explanation:

if x=19, 19x3 =57 and 57+123=180 and straight angle = 180 so A

Answer:

X=19

Step-by-step explanation:

123 and 3x are supplementary/they equal 180 added together.

Let's solve your equation step-by-step.

123+3x=180

Step 1: Simplify both sides of the equation.

3x+123=180

Step 2: Subtract 123 from both sides.

3x+123−123=180−123

3x=57

Step 3: Divide both sides by 3.

3x/3 = 57/3

x=19

Have a splendid day.

PS. I like your bakugo profile picture.

If one of the roots of the equation x²- 4x + k=0exceeds the other by 2, then find the roots and determine the value of k

Answers

Answer:

roots: 1 and 3

k = 3

Step-by-step explanation:

2 roots: p and p+2

(x-p) (x-p-2) = x² - 4x + k

x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k

-2 (p+1) = -4

p+1 = 2

p = 1   ... root 1

p' = 1+2 = 3   ... root 2

k = p² + 2p = 3

check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k

Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please

Answers

Answer:

MN

Step-by-step explanation:

ML:RQ = MN:RS = LN:QS (corr side, similar triangles)

Which of these is a pair of adjacent angles?

Answers

Answer:

Answer A

as taught to us till now

write an equivalent expression by using the distributive property (un-distributive) and factoring out a common factor. 3x+12-9y=​

Answers

The commoner factor is 3
The equation would be
x-3y+4

This histogram shows the number of shoppers in various age groups at a clothing store.
How many shoppers are at least 20 years old?
a. 7 shoppers
b. 12 shoppers
c. 13 shoppers
d. 18 shoppers
(IF ITS NOT CLEAR SWITCH PICRTURES)
(PLEASE HELP)

Answers

I’m sure it’s 7 sorry if I’m wrong

Answer:

sorry im late but 12

Step-by-step explanation:

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