The perimeter of the rectangular pattern, formed by arranging 16 squares with an area of 16 square units in a 4x4 layout, is 16 units.
To determine the perimeter of a rectangular pattern formed by arranging 16 squares, each with an area of 16 square units, in a 4x4 layout, we can follow these steps.
First, we know the area of each square is 16 square units, which means the side length of each square is the square root of 16, which is 4 units.
Now, when these squares are arranged in a 4x4 pattern, you have 4 squares along the length and 4 squares along the width. The length and width, in terms of these squares, are both 4 squares.
The perimeter of a rectangular shape is calculated using the formula: Perimeter = 2 × (Length + Width).
Plugging in the values:
Perimeter = 2 × (4 + 4) = 2 × 8 = 16 units.
So, the perimeter of the resulting figure is 16 units. This means, when you trace the outline of this 4x4 arrangement of squares, the total distance around the shape is 16 units. Each side contributes 4 units, and there are four sides, giving us a total perimeter of 16 units. This calculation follows the basic principles of perimeter for rectangular shapes and applies them to the given arrangement.
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A $1200 television is on sale for 30% off. If sales tax is 5.75%,what will be the total price of the television?
The total price of the television is $888.3
Jesse has a container that contains 18 3/4 cups of ice cream. How many 1/3 cup servings are in the container?
Jesse can serve 56 full 1/3 cup servings of ice cream from the container with a bit of ice cream remaining.
Jesse has a container that contains 18 3/4 cups of ice cream. To determine how many 1/3 cup servings are in the container, we need to divide the total amount of ice cream by the size of each serving:
First, convert 18 3/4 cups to an improper fraction: (18 × 4) + 3 = 75/4 cups.Next, divide 75/4 by 1/3, which is the same as multiplying 75/4 by 3/1 (since dividing by a fraction is the same as multiplying by its reciprocal).75/4 × 3/1 = (75 × 3) / (4 × 1) = 225/4.Simplify the fraction: 225/4 = 56.25. Therefore, there are 56 whole servings, with a little left over.Jesse can serve 56 full 1/3 cup servings of ice cream from the container with a bit of ice cream remaining.
Please help and show work!!! Find the line perpendicular to y=-1/4x+7 and goes through the point (1,1).
8+4a+6.2-9a simplify expression
8 + 6.2 + 4a - 9a
(8 + 6.2) + (4 - 9)a
14.2 - 5a is your answer.
Answer:
Well,[tex]8+4a+6.2-9a[/tex] has like terms. The simplified expression would just be these like terms combined.
First, let's combine [tex]8[/tex] and [tex]6.2[/tex]
[tex]8+6.2=14.2[/tex]
[tex]4a-9a+14.2[/tex]
Now, combine the other two monomials.
[tex]4a-9a=-5a[/tex]
[tex]-5a+14.2[/tex] would be your answer.
Remember: Some terms can't be combined. For example, [tex]4a[/tex] and [tex]8[/tex] cannot be added together, due to the [tex]a[/tex] in [tex]4a[/tex]. These are not like terms. But [tex]4a[/tex] and[tex]-9a[/tex] are, and can indeed be combined.
2 3/5 ×5/6 = what does it equel
Solve for s.
0.5s+1=7+4.5s0.5s+1=7+4.5s
Answer:
[tex]s=-1.5[/tex]
Step-by-step explanation:
Given the equation :
[tex]0.5s+1=7+4.5s[/tex]
the first step is to put all the terms with the variable we want to solve for on one side of the equation, in this case I will put all the terms with [tex]s[/tex] on the right side, and all the independent terms on the left side.
[tex]1-7=4.5s-0.5s[/tex]
Solving for [tex]s[/tex] we have the following:
[tex]-6=4s[/tex]
[tex]\frac{-6}{4} =s[/tex]
[tex]-1.5 =s[/tex]
the answer is: [tex]s=-1.5[/tex]
Which polygon is a convex heptagon
Convex Heptagon: A convex heptagon is a polygon with seven sides in which all of its diagonals lies inside the Heptagon. Concave Heptagon: A Concave Heptagon is a polygon with one or more interior angles greater than 180 degrees and some diagonals will lie outside the polygon.
Answer:
It's 'A' on Edge 2021. Hope this helps everyone.
Explain how you know 15 is an odd number
15 is an odd number because you cant divided in half also 15 is the illumanti
chris rented a truck for one day. there was a base fee of $16.95, and there was an additional charge of 87 cents for reach mile driven . chris had to pay $229.23 when he returned the truck . for how many miles did he drive the truck
Mckenzie bought 1.2 pounds of coffee for 11.82 what was cost of per pound
first you divide 1.2 by its self because you need to get 1 pound. 1.2 / 1.2 = 1
now that you have one pound, you divide 11.82 by 1.2 = 9.85
Math is my worst subject lol can I get some help
The geometric mean of two numbers a and b is ab. Find the geometric mean of 32 and 50
Answer:
1600
Step-by-step explanation:
a*b=
32*50=
1600
Answer:
Geometric mean: 40
(5a^2bc^3) × (1/5abc^4)
Your answer would be a3b2c7
Which equation has the solution x = 1.5?
A) x/2 + 3.5 = 6.5
B ) x/2 − 3.5 = 6.5
C) 2−3.5=6.5
D )2 + 3.5 = 6.5
Answer:
The correct answer is D.
2x + 3.5 = 6.5
x = 1.5
How to say 6.324 in word form
Six and three hundred twenty-four thousandths.
The decimal 6.324 in words can be written as "six and three hundred twenty-four thousandths."
To express the number 6.324 in word form, break it down by its place values.
6 is in the "ones" place, so we say "six."
3 is in the "tenths" place, so we say "three tenths."
2 is in the "hundredths" place, so we say "two hundredths."
4 is in the "thousandths" place, so we say "four thousandths."
Putting it all together, we can say 6.324 as "six and three hundred twenty-four thousandths."
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Daniel is paid $10 per week for selling newspaper subscriptions. He is also paid $3.50 for each new customer (x) that signs up for the subscription. Which equation represents the amount (y) Daniel earns per week?
Which mixed number is equivalent to the improper fraction 379 ?
4 1/9 i dont quiet remember but im pretty sure this is correct
I took this quiz and the answer is 4 1/9 i know its late but I hope it helps still... I guess...
4 x 4 x 4 cardboard box is going to be filled with colored one by one by one blocks one red block is placed into the corner of the box next the least number of orange blocks are used to completely hide the red block from view then the least number of yellow blocks are used to hide the orange blocks from view at this point how many blocks have been placed into the box
16x 4 = 64 so thats the volume
what’s 9•1085•(17•x)
Hi!
So I believe your question is 9(1085)(17*x)
So we can start to simplify 17 and x into 17x
Next we take 17x*1085= 18,445x
And finally we multiply 18,445x*9
18,445x*9=166,005x
The doubling time of a city’s population is 22 years. How long does it take for the population to quadruple?
A) 4 Years
B) 44 Years
C) 22^4
D) 2^22
Explain the answer.
The time it takes for a city's population to quadruple, given a doubling time of 22 years, is 44 years since quadrupling requires two doublings of the population.
The question asks about the time it will take for a city’s population to quadruple given that its doubling time is 22 years. To find the time it takes for the population to quadruple, we need to understand that quadrupling the population means doubling it twice. Since the doubling time is 22 years, we simply need to multiply this time by 2 to get the time for the population to quadruple.
Therefore, the correct answer is 44 years (B). This is because:
First doubling: 22 years
Second doubling (to quadruple): 22 + 22 = 44 years
3t - 18 = 4(-3 - 3/4t)
3t - 18 = 4(-3 - 3/4t)
Use distributed to remove parenthesis right side
3t-18= -12-3t
Add 3t by 3t
3t+3t-18=-12
6t-18=-12
Add 18 to both sides
6t=-12+18
6t= 6
Divide 6 both sides
6t/6=6/6
Solved
T=1
Answer:
its t=1
Step-by-step explanation:
Which amount is the greatest
Answer:
10qt
Step-by-step explanation:
16pt = 32C
So, it's not 16pt
36 C = 9qt
So, it's not 36 C
That only leaves 10qt
Hope this helps :-)
If you have two positive numbers and you multiply(-12*-6) why are you getting a positive answer?
Three friends each bought two slices of pizza and a drink at the mall. if drinks cost $0.75 and the total of their order was $11.25,how much did one pizza cost?
Zachary's soccer camp started at 11:35 A.M. They spent 55 minutes practicing defense and 2 hours and 25 minutes shooting. What time did the camp end?
camp ended at 2:55pm
2:55 PM
Because 11:35 AM+55= 12:30 PM. Then 12:30 PM+2:25= 2:55 PM as a final answer
Charles has rolled a 6-sided die three times and it landed on 3 each time. What is the probability of getting a 3 on the 4th roll?
Answer choices: A) 1, B) [tex]\frac{1}{36}[/tex], C) [tex]\frac{1}{216}[/tex], D) [tex]\frac{1}{6}[/tex]
The answer would be D - 1/6
This is because there are six sides to the die and just because he rolled all 3s before it does not mean he has a better chance to roll a 3 now.
Since there is only 1 3 on the six sided die there is a 1/6 chance he would roll a 3.
The probability of rolling a 3 on a 6-sided die remains 1/6 regardless of previous outcomes because each roll is an independent event. Therefore, the probability of getting a 3 on the 4th roll, after it has landed on 3 for three times, is 1/6.
Explanation:The subject of this question is Mathematics, specifically probability. The question asks what the probability is that a 6-sided die, after landing on 3 for three times, will land on 3 again on the 4th roll. It is important to understand that the roll of a die is an independent event, meaning that previous rolls do not impact the outcome of subsequent rolls. Therefore, no matter what the die landed on in previous turns, the probability of getting a 3 on the next roll remains the same.
Since a die has 6 faces, each face (1, 2, 3, 4, 5, 6) has an equal chance of landing up, making the probability of getting a certain number on a die 1 out of 6 or [tex]\frac{1}{6}[/tex]. So, option D is the correct answer.
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3. There are about 1.61 kilometers in 1 miles. Let x represent a distance measured in kilometers and y represent the same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distances measured in miles.
We have been given that there are about 1.61 kilometers in 1 miles.
Let x represent a distance measured in kilometers and y represent the same distance measured in miles.
We can set two equations from the given information as:
[tex]x=\frac{1}{1.16}*y[/tex] (Number of kilometers in terms of number of miles)
[tex]y=1.61*x[/tex] (Number of miles in terms of number of kilometers)
Therefore, [tex]x=\frac{1}{1.16} y[/tex] and [tex]y=1.61*x[/tex] will be our equations.
To relate a distance measured in kilometers and miles, two equations can be written: y = 1.61x and x = 0.62y.
Explanation:To write equations that relate a distance measured in kilometers and the same distance measured in miles, we can use the conversion factor between kilometers and miles. Based on the given information, 1 mile is equivalent to 1.61 kilometers. So, the first equation would be: y = 1.61x, where x represents the distance in kilometers and y represents the distance in miles. To find the equation in the opposite direction, we can use the inverse of the conversion factor, which is 1 divided by 1.61. So, the second equation would be: x = 0.62y.
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Find the slope of the line that goes through the given points.
(3,1) and (8,9)
It was difficult to explain using words so I attached a picture of the work. I hope this helps!
Factories often add filler when making meatballs sold by the bag. One factory obtained 135kg of beef from overseas. They want to add 1.3oz of filler for each pound of beef. How many ounces of filler will the factory need in order to make meatballs out of this shipment of beef?
Use 1lb = 0.45kg and do not round any computations
Answer:
The company needs 390 oz of filler.
Step-by-step explanation:
One factory obtained 135 kg of beef from overseas.
They want to add 1.3oz of filler for each pound of beef.
Given is:
0.45 kg = 1 pound
So, 135 kg = [tex]\frac{135}{0.45}[/tex] = 300 pounds
The company want to add 1.3 oz of filler for each pound of beef.
So, for 300 pounds they will need = [tex]300\times1.3=390[/tex] oz of filler.
Therefore, the company needs 390 oz of filler.
If a+b=-2 And x+y= -2 what is 4x+5a+4y+5b?
a + b = -2
x + y = -2
4x + 5a + 4y + 5b = 4x + 4y + 5a + 5b = 4(x + y) + 5(a + b)
substitute
4(-2) + 5(-2) = -8 - 10 = -18