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:
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]
Related Questions
The radius of the base of a metallic rod is 2 centimeters, and its height is 15 centimeters. What is the volume of this cylinder?
A.60 π cm^3
B.50 π cm^3
C.27 π cm3
D.36π cm^3
Answers
It cost $730 to put on a school play . How many tickets must be sold at $6 a piece in order to make a profit
Answers
Answer:
122
Step-by-step explanation:
if you do 730 divided by 6 the answer is 121.6666667 so you round it up to 122
Explain how you can use proportional reasoning to determine the whole if you
know that 40 is 60% of the whole.
Answers
x=66.67
Now check to make sure it worked
66.67*.60=40
So the answer is 66.67
Two sides of a right triangle measure 222 units and 444 units. What is the area of the square that shares a side with the third side of the triangle?
Answers
Answer:
the area of the square = x² = 147,852 ft²
Step-by-step explanation:
Given;
two sides of a right triangle, = 222 units and 444 units
let the third side of the right triangle that shares a side with a square = x
the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.
x² = 444² - 222²
x² = 147,852
x = √147,852
x = 384.52 ft
Therefore, the area of the square = x² = 147,852 ft²
Answer:
20 = x^2
Step-by-step explanation:
to find c^2 you need to do:
a^2 + b^2 = c^2
so- 2x2 + 4x4 = 4+16= 20
20 = x^2 and since x is squared you do not find the square root
10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?
Answers
Answer:
Step-by-step explanation:
x=3
The graph of y = 8x + 16 is shown. Which statement is true about the function?
Answers
Answer:
A, The function has exactly one zero at x = -4
Step-by-step explanation:
As you can from the graph, the graph ONLY touches y = 0 at ONLY x = -4.
Find the slope of the line that passes through each pair of points.
A(-6,1) B(2,1)
Answers
Answer:
Slope = undefined
Step-by-step explanation:
Use the formula:
m = y2 - y1 / x2 - x1
Plug in the given information
m = 1 - 1 / 2 - - 6
Negative + Negative = Positive
m = 1 - 1 / 2 + 6
m = 0 / 8
m = 0/8
m = undefined
Alright fam, help me out here with these angles thanks!
Answers
Answer:
m∠3 = 127°
Step-by-step explanation:
From the given picture,
Two parallel lines have been given.
Angle 3 and another angle measuring 53° are located on a point of a straight line.
Therefore, both the angles will be supplementary.
m(∠3) + 53° = 180° [Property of supplementary angles]
m(∠3) = 180° - 53°
= 127°
A number is selected, at random, from the set 1, 2, 3, 4, 5, 6, 7, 8. Find: p(odd)
25%
50%
100%
Answers
Answer:
50%
Step-by-step explanation:
Half of the numbers in the sequence are odd, so there's a 50% to have gotten an odd number randomly. Therefore, P = 50%
If 2x – 7y = 10 is a true equation, what would be the value of 2 + 2x – 7y?
Answers
Answer:
I believe that would be 12 because
Step-by-step explanation:
if 2x - 7y = 10
then if you were to add two to that it would be 12
Write 16 exponentially two different ways
Answers
Answer:
2^4 or 4^2
Step-by-step explanation:
2^4= 2x2x2x2=16
4^2= 4x4=16
1 + 1 = ? help now please asap!
Answers
Question:
1 + 1 = ? help now please asap!
Answer:
1 + 1 = 2
hope this helps :)
Dishwasher detergent is sold in individual packets. The 20 packet box sells for $5.49. The 60 packet box sells for $10.97. The 90 packet box sells for $18.95. Which is the best buy?
Answers
Answer:
60 packets
Step-by-step explanation:
Given that :
Unit cost of 20 packets
$5.49 / 20 =$0.2745
Unit cost of 60 packets :
$10.97 / 60 = $0.1828333
Unit cost of 90 packets :
$18.95 / 90 = $0.2105555
The 60 packets has the least cost per unit, hence it is the best buy.
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 4 minutes on question A and 5 4 5 minutes on question B. How much time did he have left for question C?
Answers
Answer:
2 19/20 minutes
Step-by-step explanation:
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?
The total number of minutes =
Number of minutes spent doing question (A + B + C)
Hence,
Hence, the number of minutes he had left for Question C is calculated as:
20 minutes - ( 11 1/4 + 5 4/5) minutes
20 minutes - ( 11 + 5 ( 1/4 + 4/5))
Lowest common denominator = 20
20 minutes - ( 16 + ( 5 + 16/20)
20 minutes - ( 16 + 21/20) minutes
20 minutes - (16 + 1 1/20) minutes
20 minutes - 17 1/20 minutes
= 2 19/20 minutes
Therefore he had 2 19/20 minutes left for Question C
A supermarket has a length of 150 feet.the area of the supermarket is 1,350 feet squared.what is the width of the supermarket
Answers
Answer:
1,500
Step-by-step explanation:
25- 3x = 40 what is x
Answers
25 + -3x = 40
Solving
25 + -3x = 40
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + -3x = 40 + -25
Combine like terms: 25 + -25 = 0
0 + -3x = 40 + -25
-3x = 40 + -25
Combine like terms: 40 + -25 = 15
-3x = 15
Divide each side by '-3'.
x = -5
Simplifying
x = -5
What are the distances from the point (x,y) to the focus of the parabola and the directrix, select two answers
Answers
Answer:
3,5
Step-by-step explanation:
axis
Which equation has infinitely many solutions?
5(2x + 4) = 10x – 12
5(2x + 4) = 10(x + 2)
5(2x + 4) = 12x
5(2x + 10) = 20(x + 1)
Answers
Answer:
5(2x + 4) = 10(x + 2)
Step-by-step explanation:
answer is 0 so it has infinite solutions
Explanation: Equals 0 because once distributed both equations are equal.
(A method to help you know without having to solve it.)
Hope this helps!
csc(x) = 2
solve this
Answers
Answer:
mathpapa.com
Step-by-step explanation:
PLSS HELP ME ASAP!! WILL GIVE YOU BRAINLYEST!!!
Zhane spins a spinner 50 times and records the results of
each spin in a table. Based on the data, which of the
following could describe the spinner Zhane used?
A. The blue section is twice as large as the red section
B. The red section is smaller than the blue and green
sections combined
C. The green section is larger than the yellow section
D. The red and blue sections combined are larger than the
green and yellow sections combined.
Answers
Answer:
The answer is probably D since red and blue combined is 30 which is greater than green and yellow combined which is 20
Answer:
D
Step-by-step explanation:
Saraid is dividing 14 pound of cashews into 5 plastic bags. What fraction of a pound of cashews will be in each plastic bag?
Answers
Answer:
Each bag gets 2 4/5 pounds of cashews
Step-by-step explanation:
14 ÷ 5 = 2.8
2.8 ( 2 4/5)
Identify the area of the composite shape.
71 cm squared
98 cm squared
34 cm squared
56 cm squared
Answers
Answer:
Option (1)
Step-by-step explanation:
Area of the composite figure ABCDEFGH = Area of rectangle ABGH - Area of rectangle CDEF
Area of rectangle ABGH = Length × Width
= 14 × 7
= 98 cm²
Area of rectangle CDEF = 9 × (7 - 4)
= 27 cm²
Area of the composite figure = 98 - 27
= 71 cm²
Option (1) is the correct option.
Use the figure and information below to find the length of each line segment
7th grade math please help me
Answers
Answer:
7. 6
8. 6
9. 12
10. 6
11. 12
12. 24
Step-by-step explanation:
The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24
What is the length?It is the measure of distance between the two points is called a length.
D is the mid-point of CE. Then
CD = DE = 6
B is the mid-point of AC. Then
AB = BC
C is the mid-point of AE. Then
AC = CE
AB + BC = CD + DE
AB + AB = CD + CD
2 AB = 2 CD
AB = CD
AB = 6
Then
AB = 6
BC = AB = 6
AC = AB + BC = 6 + 6 = 12
CD = DE = 6
CE = CD + DE = 6 + 6 = 12
AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24
More about the distance link is given below.
https://brainly.com/question/989117
How would I right subtract 1.9 from the product of 7.4 and 3
Answers
Answer:
24.1
Step-by-step explanation:
7.4x3=22.2
22.2+1.9=24.1
The official all-time high temperature in Osoyoos, B.C., was 43°C in July 1998. The official all-time low temperature was –21°C in February 1996. What is the difference between the two temperatures? Please show all your work.
Answers
Answer: 64°C
Step-by-step explanation:
Official all-time high temperature = 43°C
Official all-time low temperature = –21°C
The difference between the two temperatures will be calculated by subtracting the low temperature from the high temperature. This will be:
= 43°C - (-21°C)
= 43°C + 21°C
= 64°C
Solve for x.
x^2 + 6x + 9 = 12
x= -3+2V3
x = -3+4V3
x= -9 + 4V3
x=-9 + 2V3
Answers
Answer:
5. x=2v^3-9 and 2.x=3 + 2v3
The angle which is less than 90 degrees is called?
A. Acute angle
B. Obtuse angle
C. Right angle
D. Straight angle
Answers
Answer:
An acute angle is an angle less than 90°
Answer:
A. Acute angle
Step-by-step explanation:
The angle which is less than 90 degrees is known as the acute angle.
solve 3(2x + 1) in standard form
Answers
= 6x +3
Hope this helps!! :)
Answer:
3(2x+1)= 6x+3
Step-by-step explanation:
Since all you do is multiply 3 and 2x and 3 and 1 which is 6x+3
A classroom had 35 glue sticks.If the ratio of glue sticks to glue bottles was 5:2 how many glue bottles did the classroom have
Answers
Answer:
14
Step-by-step explanation:
35÷5=7
2×7=14
hope this helps
Answer:
14
Step-by-step explanation:
35÷5=7
7×2= 14
ya welcome
Which equation represents a linear function
Answers
Answer: B
Step-by-step explanation:
