How many small squares are in Step 10?
• •
Step One
• • •
• • •
Step Two
• • • •
• • • •
• • • •
Step Three
Patterns can be defined as the sequence or arrangements which numbers follow.
The number of small squares that are in Step 10 is 110 small squares.
From the question,
Step one : • • = 1(2) small squares
Step two : • • • = 3 squares in two layers = 2(3) = 6 small squares
• • •
Step three : • • • • = 4 squares in 3 layers = 3(4) = 12 small squares
• • • •
• • • •
Let the number of steps we are to find be represented by = s
Hence, from the above pattern, the formula is given as:
Number of small squares = n x (1 + n)
Therefore, using the formula from the pattern, the number of small squares that are in Step 10 is calculated as:
10 x (1 + 10)
= 10 x 11
= 110 small squares.
To learn more, visit the link below:
https://brainly.com/question/5147501
1. At best buy they have a 50" TV that sells for $1450 and is on sale for 20% and sales tax is
7.5%. What is the final cost?
Davis has a thin box that is 5 inches wide. He wants to use the box to store markers that are 1/2 inch wide. If he lines up the markers side by side and uses the entire width of the box, how many markers can Davis fit in the box?
Answer:
10
Step-by-step explanation:
Given that :
Width of box, W = 5 inches
Width of marker to be stored in box = 1/2 inch
The number of 1/2 inch marker which can be stored in box is :
Width of box ÷ width of marker to be stored in box
5 inches ÷ 1/2 inches
5 / 0.5
= 10
Hence, Ten 1/2-inch width marker can be stored in the box
Which of the following equations corresponds to the graph below
Answer:
d) y = -1/2 + 3
Step-by-step explanation:
Looking at the graph, we can use y = mx + b to find the equation. m is the slope and for slope, we go 1 unit down and 2 units to the right. b is the y variable and our b would be 3.
y = mx + b
y = -1/2x + 3
Hope this helps and stay safe, happy, and healthy, thank you :) !!
What is the output, or y-value, when you input x = -2 into the function:
y = x5 + 63
Answer:
y = 31
Step-by-step explanation:
Given
y = [tex]x^{5}[/tex] + 32 ← substitute x = - 2
y = [tex](-2)^{5}[/tex] + 63 = - 32 + 63 = 31
What is the kinetic energy of a 4 kg cart pushed at a rate of 0.5 m/s?
A. 0.5J
B. 2J
C. 4J
D. 8J
Answer:
A. 0.5J
Step-by-step explanation:
[tex]K. E._{(cart)} = \frac{1}{2} m {v}^{2} \\ \\K. E._{(cart)} = \frac{1}{2} \times 4 \times (0.5)^{2} \\ \\ K. E._{(cart)} = 2 \times 0.25 \\ \\ K. E._{(cart)} = 0.5 \: J[/tex]
The kinetic energy of a 4 kg cart pushed at a rate of 0.5 m/s is 0.5 J.
Kinetic energy = 1 /2 mv²
where
m = mass
v = velocity
Therefore,
m = 4 kg
v = 0.5
Kinetic energy = 1 / 2 × 4 × 0.5²
kinetic energy = 1 / 2 × 4 × 0.25
kinetic energy = 1 / 2 × 1
kinetic energy = 1 /2 = 0.5 j
learn more: https://brainly.com/question/13939099?referrer=searchResults
Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Write an equation where the solution represents the amount of money (x), in dollars, craig has after michael buys the hat. Explain how you came to this equation.
Answer:
X + 4 = 48
Step-by-step explanation:
Before hat purchase :
Michael has $68
Craig has $24 less than Michael;
Hence, Craig = $68 - $24 = $44
Michael purchased hat worth, $20
x = amount Craig has after Michael purchase hat:
x = Amount Michael has - $24
Amount Michael has after hat purchase = $68 - $20 = $48
x + 4 = 44 + 4
X + 4 = 48
Marta has 7 more than half as many books as Lucy. If L is the number of books Lucy has, which expression could be used to find the number of books Marta has?
Answer: L/2 + 7
Step-by-step explanation:
Number of books that Lucy has = L
Since Marta has 7 more than half as many books as Lucy, the expression that could be used to find the number of books Marta has will be gotten by multiplying the number of books that Marta has by 1/2 and then adding 7 to the value gotten. This will be:
= (1/2 × L) + 7
= L/2 + 7 or 0.5L + 7
1. Does the following function represent exponential growth or decay?
Answer:
B - Decay
Please make my answer the brainliest!
Step by step explanation:
Calculate the area of the right - angled triangle with base of 18cm and height 6.5cm
Answer:
area = 58.5 cm²
Step-by-step explanation:
area = 18 x 6.5 x 0.5 = 58.5 cm²
7x = 14 step by step
Answer:
x=2
Step-by-step explanation:
7x = 14
x = 14/7
x = 2
Answer:
2
Step-by-step explanation:
7x/7 = 14/7
x = 2
pls answer the image below
find the value of given expression
[tex] \sqrt[3]{9 - 1} [/tex]
Answer:
2
Step-by-step explanation:
[tex] \sqrt[3]{9 - 1} \sqrt[3]{8} \\ = 2[/tex]
$1,000 at 7.5% for 30 months
Step-by-step explanation:
principal=1000
rate=7.5
time=30 moths
interest= principal multiplied to rate multiplied to time by 100
which give 100multiplied to 7.t multiplied to 30 by 10p
which gives 22500by 100
which gives 225
amount= interest plus principal
= 225+1000
=1225
What is the length of the missing leg?
Answer:
6
Step-by-step explanation:
[tex]\sqrt{10^{2} -8^{2} }[/tex] = 6
Answer:
b = 6
Step-by-step explanation:
Pythagorean formula:
a² + b² = c²
Work:
a² + b² = c²
8² + b² = 10²
64 + b² = 100
b² = 100 - 64
b² = 36
[tex]\sqrt{b^2} =\sqrt{36}[/tex]
b = 6
Kelly sent packages to her 4 cousins. The
weight of each package was between
12.56 ounces and 15.4 ounces.
Which of the following could be the total
weight of the packages that Kelly sent?
Answer:
c
Step-by-step explanation:
got it right
Step-by-step explanation:
the total weght could be 15,4_12,56=2,84
What is the area of the rectangle with the given dimensions?
The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?
Answer:
F
Step-by-step explanation:
The area is equal to length times width.
Use the foil method to multiply (2x-5)(3x+3).
four fifths of the senior class went to prom. if 324 seniors went to prom, how many are there in the class?
Answer:
there's a total of 388.8 kids in the class but you can have 0.8 of a person and you can't round a person up so just 388
Step-by-step explanation:
tldr: 388 people
what is 2(3x+2)=2x+28
Answer:
x=6
Step-by-step explanation:
6x+4=2x+28
4x=24
x=6
find the axis of symmetry for f(x)=-3x^2+5x-6
Answer:
x= -5/6
Step-by-step explanation:
formula for axis of symmetry is
-b/2a
so,
-5/2(-3)
= -5/-6
= 5/6
Helpppppoo plzzzzzzz
Answer:
dont mind me
Step-by-step explanation:
Answer:
b. a. c. b. c. b. c. c. a.
Step-by-step explanation:
2 3 4 5 6 7 8 9 and 10
June was thinking of a number, she halves it and gets an answer of 24.3. What was the original number?
please help, thank youu! :)
Answer:
false is the write answer you can write it
Answer:
false
Step-by-step explanation:
if u divide y÷x each time u won't get the same answer so I t wouldn't be proportional
Clay works on a farm. He packaged eggs into
containers that hold 1 dozen eggs each. He filled
4 containers with white eggs and 5 containers
with brown eggs. How many eggs did Clay
collect? Hint: one dozen eggs = 12 eggs
Answer:
(4×12)+(5×12)
48+60
108 eggs total
Answer:
108
Step-by-step explanation:
Well considering the fact that the question is asking how many eggs did Clay collect in total, we can just multiply 4*12 (12 being how many eggs being in the container and 4 being the amount of containers) and multiply 5*12 to get a total of 108 eggs. Or you could just add both the amount of containers and multiply it by 12. Hope this helped :)
Henry is mixing concrete.
To make concrete he needs to mix cement, sand and gravel in the ratio 3 : 2 : 7 by weight.
Henry needs to make 180kg of concrete.
He has 46kg of cement, 29kg of sand and 105kg of gravel.
Which ingredient is Henry short of?
9514 1404 393
Answer:
1 kg of sand
Step-by-step explanation:
For 180 kg of concrete using the given ratios, you need ...
(3/12)(180 kg) = 45 kg of cement
(2/12)(180 kg) = 30 kg of sand
(7/12)(180 kg) = 105 kg of gravel
The inventory of 29 kg of sand is 1 kg short of the amount needed.
Henry is short 1 kg of sand.
Which of the following is true concerning the expression 5x + 7 + 2x? Please circle the correct answer.
A. 5x and 7 are like terms.
B. The simplified form of the expression is 5x + 9.
C. 5x and 2x are like terms.
D. The simplified form of the expression is 14x.
20 equals more than a number y
Answer:
[tex]20 > y[/tex]
Step-by-step explanation:
20 is greater than y.
Simplify 3^2 ⋅ 3^5.
3^7
3^10
9^7
9^10
Answer: 135, 21, 30, 63, 90
Step-by-step explanation:
What is the value pqr/pq-qr if p=-3,q=2 and r=2?
Answer:
1.2 OR 1 1/5
Step-by-step explanation:
-3 x 2 x 2 = -12
-3 x 2 = -6
2 x = 4
-12 / -6 - 4 =
-12 / -10 =
1.2 OR 1 1/5
Hope that helps!
A book has an unknown number of pages,if you know Sue read 60 pages the first weekend she had it.She then read 1/3 of the book on the second weekend.Finally,she read the remaining 84 pages on the third weekend.Using this information,how many pages did the book have?
You must add 60 with 84 which gives you 124