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?
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]
Help please . Thank you !!
Answer:
A=25m
Step-by-step explanation:
Which three angle measures can be used to make AABC?
A)
28°
B)
29°
C)
58°
D)
89°
E)
94°
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Charlie has dimes and quarters that have a value of $26.50. He has 15 fewer dimes than quarters. Which system of equations can be used to determine the number of dimes, d, and quarters, q?
A. q=d-15, d+q=26.50
B. d=q-15, 0.1d+0.25q=26.50
C. q=d-15, 0,1d+0.25q=26.50
D. d=q-15, d+q=26.50
Which angles are complementary to 1? Select all that apply.
Answer:
angle 6 and angle 3
Step-by-step explanation:
angle 1 and angle 6 add up to 90 degrees
angle 6 is vertical to angle 3, so 1 is complementary to 3 as well
If 4 × 5 = 20, then 20 ÷ 4 equals what number?
Answer:
20 ÷ 4 = 5
(Brainliest please! :D)
Answer:
5
Step-by-step explanation:
5
5
5
5
See how I put five 4 times? Multiply 5 by 4 and you get 20. 20 divided by 4 equals 5. Just like how 20 divided by 5 equals 4. You just flip it.
Evaluate: 3000−3.5m when m = 100
Answer:
2650
Step-by-step explanation:
Ok so,
3000-(3.5(100))
3.5 multiplied by 100 is 350, (move the decimal place 2 times to the right)
so it would be:
3000-350
Simply subtract.
3000-350= 2650
Answer: 2650
Cheers! I hope you can understand it well.
please help asap!! i’ll give brainlist if right.
Answer:
dogs = 2
cats = 80
Step-by-step explanation:
Here I will assume that cats and dogs are proportional
c = y d, if you substitue, you get
10 = y 4, which rearranged, becomes
y = 10/4 = 2.5
now that we know y, we can work out x and y, the missing dogs and cats
4 = 2.5 d
here, dogs = 2
c = 2.5 * 32
2.5 * 32 = 80
here, cats = 80
7/8 – m = 2/3
What is the value of m?
correct=brainliest
Answer: the answer is 5/24
Step-by-step explanation:
If you do 7/8 - 2/3 you get 5/24 and to check your work, do 7/8 - 5/24 and you get 2/3
Hope this helps ^^
What is the value of the expression: 3y + 6 divided by 2x, if y = 4 and x = 3? *
Answer:
3
Step-by-step explanation:
[tex]\frac{3y+6}{2x} \\\\\frac{3(4)+6}{2(3)} \\\\\frac{12+6}{6} =\frac{18}{6} \\\\3[/tex]
Hailey solves the equation shown.
1/4(2 – x) = 5+ 3x
In which step does Hailey make her first error?
Step 1: 1/2 - x = 5+ 3x
Step 2: 1/2 = 5 + 4x
Step 3: – 9/2 = 4x
Step 4: -9/8=x
Ok so my mom is verbally abusive towards me and makes me cry almost everyday. I really want to run away but I have cameras all sides and some inside and a tracker on my phone that can read texts and show my precise location. I can’t go out of the window because my room has a sensor and I don’t have a roof slope like most of y’all do. I could go out of the kitchen window but one of the backyard cameras will see me jump the fence and leave. what do you think i should do? And what to pack because if I run away today I need to know what to pack and advice.
Answer: I think if you run away you should get closes and a lot of food go somewhere were she won't find you
Step-by-step explanation:
I need help finding the slope
Answer:
oh, well, sorry
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Slope is rise over run.
What are the values of x and y? I REALLY NEED Y , I HAVE X. I will mark you brainliest if you give me y and its correct!
Answer:
72.5°
Step-by-step explanation:
180° - 35° = 2y°
145° = 2y
145/2 = 50+22+0.5 = 72.5
What is the volume of the composite figure? Use 3.14 for π and round the answer to the nearest tenth of a cubic unit.
Answer:
V=1582.56 cubic cm
Step-by-step explanation:
Find the perimeter of Angle ABC with vertices A(-5,4), B(4, -5). and C(-5, -5). Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
Don abel tiene una malla de 100m de longitud para hacer un cerco . Y quiere hacer in corralon de forma rectangular no sabe todavia de que fimensiones hacerlo pues quiere que sus cuyes tenhsn el mayor terrebno posible ¿ de que medidas se puede construir el corral rectangular usanfo los 100m de malla ?
Answer:
Don Abel debe construir un cuadrado con lados de 25 metros de longitud.
Step-by-step explanation:
Geométricamente hablando, el área y el perímetro del rectángulo rodeado por el cerco son representadas por las siguientes fórmulas:
[tex]A = w\cdot l[/tex] (1)
[tex]p = 2\cdot (w+l)[/tex] (2)
Donde:
[tex]A[/tex] - Área, en metros cuadrados.
[tex]p[/tex] - Perímetro, en metros.
[tex]w[/tex] - Ancho, en metros.
[tex]l[/tex] - Longitud, en metros.
Puesto que el área a cercar debe ser la máxima posible y la longitud disponible de malla es de 100 metros, cabe despejar el ancho en (2):
[tex]w = \frac{p}{2}-l[/tex]
Ahora, aplicamos esta expresión en (1) y expandimos la expresión resultante:
[tex]A = \left(\frac{p}{2}-l\right) \cdot l[/tex]
[tex]A = \frac{p\cdot l}{2} -l^{2}[/tex] (3)
A continuación, obtenemos la primera y segunda derivada de (3):
[tex]A' = \frac{p}{2}-2\cdot l[/tex] (4)
[tex]A'' = -2[/tex] (5)
Igualando (4) a cero, tenemos que el valor crítico de la longitud del rectángulo es:
[tex]\frac{p}{2}-2\cdot l = 0[/tex]
[tex]2\cdot l = \frac{p}{2}[/tex]
[tex]l = \frac{p}{4}[/tex]
Por (5), sabemos que ese valor crítico está asociado al área máxima.
Si sabemos que [tex]p = 100\,m[/tex], entonces la longitud del rectángulo es:
[tex]l = 25\,m[/tex]
Ahora, tenemos el ancho de la figura por (2):
[tex]w = \frac{p}{2}-l[/tex]
[tex]w = 25\,m[/tex]
En consecuencia, don Abel debe construir un cuadrado con lados de 25 metros de longitud.
Can someone pls pls help me with the middle one im struggling :( TYSM IF U DO!
Answer:
900 people
Step-by-step explanation:
540 / 60 = 9
10% = 9
9 x 100 = 900 people
Hope that helps!
Estelle bought 3 pineapples to cut up and serve on a fruit platter. The pineapples each cost the
same amount, and they cost less than $12 in all.
Let x represent how much each pineapple cost. Which inequality describes the problem?
3x > 12
3x < 12
Solve the inequality. Then, complete the sentence to describe the solution.
Each pineapple cost less than $
Answer:
Eh cafe donete mal reo jama kolotake? 24 eh moi -09....? kelare mei osaje.
Step-by-step explanation:
The inequality that describes the solution is 3x < 12.
The cost of each pineapple is less than $4.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Number of pineapples = 3
Cost of each pineapple = x
Now,
The cost of all the 3 pineapples = less than $12.
The cost of 3 pineapples.
3x < 12
x < 12/3
x < 4
Thus,
The inequality is 3x < 12.
The cost of each pineapple is less than $4.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
Write 3.72 as a mixed number in simplest form.
Answer:
3 18/25
Step-by-step explanation:
Rewrite as [tex]3\frac{72}{100}[/tex]
Simplify 72/100. The greatest common factor of 72 and 100 is 4
72 / 4 = 18
100 / 4 = 25
Final answer:
[tex]3\frac{18}{25}[/tex]
please help it’s the last question
Answer:
[tex]y=[/tex] [tex]-\frac{5}{6}x - 1[/tex] is the answer
Step-by-step explanation:
Equation of the line: y = 6/5x + 1
= 5y = 6x + 5
= 6x - 5y + 5
Equation of the perpendicular line: bx - ay + k = 0
= -5x -6y + k = 0
Equation passes through (6,-6),
-5(6) -6(-6) + k = 0
-30 + 36 + k = 0
6 + k = 0
k = -6
Substituting,
-5x -6y + k = 0
-5x -6y -6 = 0
-6y = 5x + 6
[tex]y=[/tex] [tex]-\frac{5}{6}x - 1[/tex] (Slope-Intercept form)
John walks dogs to earn extra money. He earns $5 per dog he walks. Using the following equation y = 5x, where x =the number of dogs John walks
and y = the number of dollars John earns.
What is the number of dollars John earns if he walks 8 dogs?
A. $3
B. $13
C. $25
D. $40
8 dogs so 5*8= 40
so it's D
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $8 and each adult ticket sells for $10.50. The auditorium can hold a maximum of 105 people. The drama club must make at least $990 from ticket sales to cover the show's costs. If 65 adult tickets were sold, determine the minimum number of student tickets that the drama club must sell in order to meet the show's expenses.
Answer:
You need to sell 39 Student tickets minimum to be able to cover the cost over all.
Step-by-step explanation:
If they sell 65 adult tickets, then you have to do 65 x 10.50 = $682.5
with that in mind you will take 308 + 682.5 because that equals 990.5 that would be the minimum amount but you would need to to take 39 x 8 to get 312 because 38 x 8 is 304 so that isn't enough.
What is 5x+24=134 thank you so mich have a wonderful day
Answer:
x = 22
Step-by-step explanation:
5x + 24 = 134
134 - 24 = 110
110 / 5 = 22
x = 22
Aaron answered 7 out of 12 questions correctly on his last English quiz. Find his grade
to the nearest whole percent.
Answer:
Step-by-step explanation:
58%
7/12 into a percentage
Your stock is worth $50 in 2010. Each year the value increased by 5%. Write a function to
model this situation. Use y to represent the value of the stock and x to represent the number of years since 2010
Answer:
It adds by +5
Step-by-step explanation:
Kara donated 28 books to the book drive. Shawn donated some books. Kara donated 4 times as many books as Shawn.
What you have to do to solve the question:
Draw a diagram to represent Kara and Shawn's books, then solve how many books Shawn donated. can you draw it in a 4th grade way cuz im in 4th grade thank you.!
Answer:
i dont know how to make diagram for it but
Step-by-step explanation:
shawn donated 7 books
Anyone knows geometry???
The answer choices are
A: 2 and 8
B: 1 and 4
C: 6 and 7
D: 5 and 8
Answer:
Option: A
Step-by-step explanation:
Hope it helps you!
CAN SOMEONE PLEASE HELP ME
HELP
What is the equation of the line that passes through the point (1,0) and has a slope
of 1?
Answer:
y = x - 1
Step-by-step explanation:
Put it in point-slope form:
y - 0 = 1(x - 1)
y = x - 1