The area of the whole mosaic is 603.25 square feet.
What is the arithmetic operations?
Arithmetic operations are basic mathematical calculations that involve numbers and symbols, such as addition, subtraction, multiplication, and division.
The mosaic has a 7 × 7 array of square tiles, each of which is 3 1/2 ft long. To find the area of the whole mosaic, we need to find the total number of tiles in the mosaic and then multiply by the area of each tile.
The total number of tiles in the mosaic is simply the product of the number of rows and the number of columns, which is 7 × 7 = 49.
The area of each tile is the square of its length, so the area of each tile is:
\((3 1/2 ft)^2 = (7/2 ft)^2 = 49/4 ft^2\)
Therefore, the area of the whole mosaic is:
\(49 tiles * (49/4 ft^2/tile) = 603.25 ft^2\\\)
Hence, the area of the whole mosaic is 603.25 square feet.
To learn more about arithmetic operations, Visit
https://brainly.com/question/13181427
#SPJ1
The Kwon family has a rainwater catchment system they use to water their garden. The
storage tank is 80 inches deep. After 3 hours of rain, the depth of water in the tank is 37
inches. After 5 hours, the depth is 60 inches. If the rain continues to fall at the same rate,
how many hours will it take to fill the tank? Round your answer to the nearest tenth.
N
hours
Answer:
about 7 hours
Step-by-step explanation:
i smart
1. Find the new value after the old value of 56 is increased by 8%.
Answer:
60.48
Step-by-step explanation:
Answer:51.52
Step-by-step explanation:
please help me In exponents we have to write
Answer:
1. -3/13
2. (simplified) 8 / (exponential form) 2^3
3. 1265625/16384
4. 5
Step-by-step explanation:
no need for explanation just try the app Photo math (no space in the photo and math)
solve 5y - 2 = 3y + 14
Answer: y=8
Step-by-step explanation:
Answer:
Y = 8
Step-by-step explanation:
The table shows the lengths of four trails at a horseback riding camp. The estimated length of all four trails is 12 miles. Find a possible length for trail D. Show your work.
Answer:
Step-by-step explanation:
2.6 plus 1.8 plus 4.2 is 8.6. subtract this from 12 to get your answer of 3.4
If the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Terms are similar, and we can perform arithmetic operations on them like addition and subtraction.
It is obtained from the table that the length of trails A, B, and C will be 2.6, 1.8, and 4.2 miles.
It is given that the estimated length of all four trails is 12 miles the length of Trail D is obtained by adding all the given lengths of the trails and subtracting it from the total length.
= 2.6 + 1.8, + 4.2 miles.
= 8.6 miles
The length of trail D is,
= 12 miles - 8.6 miles
= 3.4 miles.
Thus, if the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years will it take until the car is worth less than $5,000. He uses the equation 25000(0.85) t = 5000. How many years will Carl have until his new car is worth about $5000? Round your answer to the nearest hundredth.
Answer:
84 bih
Step-by-step explanation:
Jenny read 12 pages on Monday, 25 pages on Tuesday and
the remaining pages on Wednesday. On average she read
23 pages per day during these three days. How many pages
did she read on Wednesday?
Answer:
32
Step-by-step explanation:
Let Wed pages = x
(12 + 25 + x) / 3 = 23 Multiply both sides by 3
12 + 25 + x = 3 * 23 Combine the right
12 + 25 + x = 69
37 + x = 69 Subtract 37
x = 69 - 37
x = 32
32 pages were read on Wed
7 cameras cost $308. The cost of each camera is the same. What is the cost of each camera?
Answer:
$44
Step-by-step explanation:
Hello!
It said that 7 cameras cost $308, right?
If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:
7x = 308.
If 7x = 308, it would be
308/7 =
44.
So, $44 is the answer.
4x ≤12 dimplify solve for x
Answer:
x<3
Step-by-step explanation:
Answer:
\(\boxed{x\leq 3}\)
Step-by-step explanation:
\(4x \leq 12\)
\(\sf Divide \ both \ parts \ by \ 4.\)
\(\displaystyle \frac{4x}{4} \leq \frac{12}{4}\)
\(x\leq 3\)
If 300 students voted in a student council election and the winner received 60% of the votes, how many votes were for the winning candidate?
Answer:
300 is 100%
x is 60%
x= 300• 60/100
x= 18000/100
x= 180
Need to find the Step by step how to do this problem?
Answer:
y=10x+125
Step-by-step explanation:
rise over run, so y goes up by 10 each time and x goes up by one each time so that's your X, your b is where it starts at zero so if you did -1 for x you get zero but you have to do that with the y also so 135-10=125, 125 is where your y starts and that's your b
which expression is equivelent to (1/√y)^-1/5
The expression equivalent to\((1/\sqrt y)^(^-^1^/^5^) is y^(^1^/^5^)/ \sqrt y\).
To simplify the expression (1/√y)^(-1/5), we can use the rule for negative exponents, which states that a negative exponent is equivalent to a positive exponent when the base is moved to the opposite side of the fraction.
First, we can simplify (1/√y) by rationalizing the denominator as follows:
1/√y = 1/√y * √y/√y = √y/√(y^2) = √y/y
Therefore, (1/√y)^(-1/5) can be written as:
\([(\sqrt y/y)^(^-^1^)]^(^1^/^5^)\)
Next, we can use the rule for raising a power to another power, which is to multiply the exponents:
\([(\sqrt y/y)^(^-^1^)]^(^1^/^5^) = (\sqrt y/y)^(^-^1^/^5^)\)
Finally, we can use the negative exponent rule again to rewrite (√y/y)^(-1/5) as:
\((y/√y)^(1/5)\) = \((1/\sqrt y)^(^-^1^/^5^) is y^(^1^/^5^)/ \sqrt y\)
For such more questions on expression
https://brainly.com/question/1859113
#SPJ8
help me please
A car was valued at $44,000 in the year 1992. The value depreciated to $15,000 by the year 2006.
A) What was the annual rate of change between 1992 and 2006?
r=---------------Round the rate of decrease to 4 decimal places.
B) What is the correct answer to part A written in percentage form?
r=---------------%
C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2009 ?
value = $ -----------------Round to the nearest 50 dollars.
(A) the annual rate of change between 1992 and 2006 was 0.0804
(B) r = 0.0804 * 100% = 8.04%
(C) value in 2009 = $11,650
What is the rate of change?
The rate of change is a mathematical concept that measures how much one quantity changes with respect to a change in another quantity. It is the ratio of the change in the output value of a function to the change in the input value of the function. It describes how fast or slow a variable is changing over time or distance.
A) The initial value is $44,000 and the final value is $15,000. The time elapsed is 2006 - 1992 = 14 years.
Using the formula for an annual rate of change (r):
final value = initial value * \((1 - r)^t\)
where t is the number of years and r is the annual rate of change expressed as a decimal.
Substituting the given values, we get:
$15,000 = $44,000 * (1 - r)¹⁴
Solving for r, we get:
r = 0.0804
So, the annual rate of change between 1992 and 2006 was 0.0804 or approximately 0.0804.
B) To express the rate of change in percentage form, we need to multiply by 100 and add a percent sign:
r = 0.0804 * 100% = 8.04%
C) Assuming the car value continues to drop by the same percentage, we can use the same formula as before to find the value in the year 2009. The time elapsed from 2006 to 2009 is 3 years.
Substituting the known values, we get:
value in 2009 = $15,000 * (1 - 0.0804)³
value in 2009 = $11,628.40
Rounding to the nearest $50, we get:
value in 2009 = $11,650
Hence, (A) the annual rate of change between 1992 and 2006 was 0.0804
(B) r = 0.0804 * 100% = 8.04%
(C) value in 2009 = $11,650
To learn more about the rate of change visit:
https://brainly.com/question/29504549
#SPJ1
do all 4 pls it is easy
Answer:
1. -2y
2.13x
3. 8d-3c
4. 8r+(-6s)
Step-by-step explanation:
A store in Madrid, Spain, specializes in selling toys for children ages 1 to 10. In
August 2020, one euro was equal to 1.18 United States dollars ($). The graph
below represents the profit, P, in dollars, that is generated by selling a new toy
with a price of x dollars.
Answer:
b and c
Step-by-step explanation:
In this exercise we have to use the knowledge of parabolas to describe the value, in this way we have to:
Letter C
In this exercise we are dealing with a parabola and we can solve it just by looking at the values and the graph, so:
When we have a parabola, its peak relates to the highest profit value on the Y axis, so we find the profit of 150 dollars when the X axis represents the value of the toy in 6 dollars.See more about parabola at brainly.com/question/8495504
Q = 9000
an
n
1
Q,=?
Answer: B
Step-by-step explanation:
We can note this is a geometric sequence. Rewriting it as an explicit sequence, we get \(a_{n}=9000(1/3)^{n-1}\).
So therefore, \(a_{7}=9000(1/3)^{7-1}=1000/81\)
Select the expression that represents the following statement: add 3 and 22, and then divide by 5.
5 secs
will give brainiest
Answer:(3 + 22) divided by 5
Step-by-step explanation:
I took the test i hope this helps and please give me Brainlyiest
Answer:
(3+22)÷5 i hope this helps pls mark me as brainiest an follow me thx have a good day!
Step-by-step explanation:
The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.
How to Interpret a Box-and-whisker Plot?
In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.
The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.
Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.
Learn more about box-and-whisker plots on:
brainly.com/question/27849170
#SPJ1
S is the midpoint of RT.
If RS = 4x - 3 and RT = 6x - 4,
what’s the value of ST?
Answer:
R__S__T
RT = RS + ST
6x – 4 = ( 4x – 3) + ST
(6x – 4 ) – ( 4x – 3 ) = ST
(6x – 4 ) +( – 4x + 3 ) = ST
2x – 1 = ST
ST = 2x – 1
RS=ST
4x – 3 = 2x – 1
4x – 2x = – 1 +3
2x = 2
x= 2/2
x =1
ST = 2x – 1 = 2(1) – 1 =2 ‐ 1 = 1
ST = 1
I hope I helped you^_^
Determine the area of the given region.
\(\displaystyle \int_{0}^{\frac{\pi }{3}}~\sin(x)dx\implies \left.\cfrac{}{} -\cos(x)\right]_{0}^{\frac{\pi }{3}}\implies\left( -\cfrac{1}{2}\right) ~~ - ~~(-1)\implies \cfrac{1}{2}\)
What is the equation of the graphed line in standard from?
A. 1/2x+y=6
B. 1/2x-y=-6
C. y=2x+6
D. -2x+y=6
A bookstore charges $4 for shipping, no matter how many books you buy. Irena makes a graph showing the shipping cost for I to 5 books. She claims that the points she graphed lie on a line. Does her statement make sense? Explain
Answer:
can we see the graph?
Step-by-step explanation:
What is the converse of r->(~q v p)
Answer:
\(r => (\neg q \ \lor p) \ \equiv \ q \ \land \ \neg p => \neg r\)
Step-by-step explanation:
In general, remember that the converse of \(a => b\) is \(\neg b => \neg a\) , therefore in this case \(a = r \ \ , b = \neg q \ \lor p\)
so \(r => (\neg q \ \lor p) \ \equiv \ q \ \land \ \neg p => \neg r\)
Define associative property
Answer:
the way in which factors are grouped in a multiplication problem does not change the product.
Step-by-step explanation:
Find the area of the shaded segment of the circle.
(Round to the nearest tenth as needed.)
Answer:
Area of the shaded region = 87.5 cm²
Step-by-step explanation:
Area of the shaded region = Area of the sector - Area of the triangle
Area of the sector = \(\frac{\theta}{360}\times (2\pi r)\)
Here, θ = Central angle subtended by the arc
r = radius of the circle
Area of the given sector = \(\frac{120}{360}\times (\pi r^{2})\)
= 48π
= 150.796 cm²
From ΔABC,
Central angle BAC = 120°
Since, AD is an angle bisector of ∠BAC,
m∠BAD = m∠CAD = 60°
∠ADC = 90° [By theorem, line from the center to any chord is a perpendicular bisector of the chord in a circle)
Now, cos(60) = \(\frac{AD}{AC}\)
\(\frac{1}{2}=\frac{AD}{12}\)
AD = 6
Similarly, sin(60) = \(\frac{DC}{AC}\)
\(\frac{\sqrt{3} }{2}=\frac{DC}{12}\)
DC = \(6\sqrt{3}\)
Since, BC = 2(DC) = \(12\sqrt{3}\)
Area of ΔABC = \(\frac{1}{2}(\text{Height})(\text{Base})\)
= \(\frac{1}{2}(AD)(BC)\)
= \(\frac{1}{2}(6)(12\sqrt{3})\)
= \(36\sqrt{3}\) cm²
= 62.35 cm²
Now area of the shaded region = (150.796 - 62.35)
= 87.456
≈ 87.5 cm²
Select the graph of the solution. Click until the correct graph appears.
|x| + 3 > 7
Answer: answer is in picture
Step-by-step explanation:
What should you substitute for x in the second equation (bottom equation) in order to solve the system by the substitution method?
We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
The given system of equations are 2x-1/3y = -2...(1)
3x+y=1...(2)
We solve this system of equations by using substitution method.
Let us solve for x in equation to substitute it in equation (2).
2x=-2+1/3y
Divide both sides of equation by 2.
x=-1+1/6y
Now plug in the value of x in equation 2.
Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Sander bought 5 bags of nuts. Each bag costs $5.69.
How much did Sander spend for the nuts?
Enter your answer in the box.
Answer:
28.45.
Step-by-step explanation:
5 x 5.69
HELP ME PLSSSSSSSSSSSS
Answer:
Option AStep-by-step explanation:
Required expression:
8/x + 1Options:
A. 8/x + 1, correctB. 8x + 1, incorrectC. 8 - x + 1, incorrectD. 8 / (x - 1), incorrectRepresent the following sentence as an algebraic expression where a number is the letter x 4 times a number
To determine the statement of an inequality:
Let the unknownmnumber be x
4 times a number
\(\begin{gathered} 4\text{ times a number } \\ 4.x \end{gathered}\)The final answer is 4x