Answer:
$64.80
Step-by-step explanation:
First, calculate the sales tax
Convert 8% into a decimal
8/100=0.08
Multiply the decimal by the cost of the game
60*0.08=4.8
$4.80 is just the tax, we have to find the total cost
Add the tax and the cost of the game
60+4.80=64.80
So, the total cost is $64.80
Hope this helps! :)
Haley’s work evaluating (Negative 2) Superscript 8 is shown below.
(Negative 2) Superscript 8 = (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) = negative 256
Which statement best describe Haley’s first error?
Answer:
D
Step-by-step explanation:
The statements are shown below:
A) She used the wrong number as a repeated factor and should have evaluated -2x2x2x2x2x2x2x2.
B) She used the wrong number as a repeated factor and should have evaluated -(8x8).
C) She misinterpreted the exponential form and should have multiplied -2 and 8.
D) She made a sign error when multiplying and should have had 256 as a final answer.
Solution:
The problem to simplify is:
[tex](-2)^{8}[/tex]
Haley's steps are shown below:
[tex](-2)^{8}=(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)=-256[/tex]
Generally,
[tex](a)^b[/tex] is actually "a" multiplied "b" times.
So, Haley wrote "-2" eight times multiplied together. That is okay.
Now,
We are dealing with negative numbers.
When negative numbers are multiplied "odd" number of times, the answer is negative.When negative numbers are multiplied "even" number of times, the answer is positive.Haley wrote "-2" eight times, which is EVEN number of times, so the answer would be POSITIVE. But, Haley's answer is negative. Which is wrong. But "256" is right.
Haley's error is:
Answer choice D
Answer:
the answer is D
Step-by-step explanation:
The answer is 11 can someone tell me why?
Answer:
The sum of interior angles is found by using the following equation:
∑ of interior angles = (S - 2)180
S = sides.
Note that the sum is given to you, or 1620. Plug in 1620 for the sum:
1620 = (S - 2)180
Next, isolate the variable, s. Note the equal sign, what you do to one side, you do to the other. Divide 180 from both sides:
(1620)/180 = ((S - 2)180)/180
S - 2 = 1620/180
S - 2 = 9
Next, isolate the variable, s. Add 2 to both sides:
S - 2 (+2) = 9 (+2)
S = 9 + 2
S = 11
~
Step-by-step explanation:
to find the interior angles of a polygon, you must figure out 2 things: the number of angles, and what each measures
since there is 1620 for the angles and (n-2)180 = sum of int. angles, we can solve using this (n = the number of sides)
(n-2)180 = 1620
180n - 360 = 1620
180n = 1620 + 360
180n = 1980
1980/180 = n
n = 11 sides
what’s the missing angle
Answer:
125 degrees.
Step-by-step explanation:
The 3 angles in a triangle add up to 180 degrees.
So the missing angle is 180 - (40 + 15)
= 125 degrees.
Find the time required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Your answer is t=
To find the time required for an investment to grow to a certain amount with compound interest, we can use the formula Final Balance = Principal(1 + interest rate/number of compounding periods)^(number of compounding periods * time). In this case, the investment of $5000 will take approximately 4.08 years to grow to $6000 at an interest rate of 7.5% per year, compounded quarterly.
Explanation:To find the time required for an investment to grow to a certain amount with compound interest, we can use the formula:
Final Balance = Principal(1 + interest rate/number of compounding periods)^(number of compounding periods * time)
In this case, the initial principal is $5000, the final balance is $6000, the interest rate is 7.5% (or 0.075), and the interest is compounded quarterly (so there are 4 compounding periods per year).
Convert the interest rate to a decimal: 0.075Substitute the known values into the formula: 6000 = 5000(1 + 0.075/4)^(4*time)Divide both sides by 5000: 1.2 = (1 + 0.075/4)^(4*time)Take the natural logarithm of both sides: ln(1.2) = ln((1 + 0.075/4)^(4*time))Divide both sides by ln((1 + 0.075/4)^(4*time)): time = ln(1.2)/ln((1 + 0.075/4)^(4*time))Using a calculator, we can solve for time to find that the investment will take approximately 4.08 years to grow from $5000 to $6000.
2x+3(5x−7)=47
Solve for x
Answer:
x=580
Step-by-step explanation:
The required value of x in the given equation 2x + 3(5x - 7) = 47 is 4.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
We have to find the value of x in the equation 2x + 3(5x - 7)
Distribute the 3 across the parentheses on the left-hand side of the equation:
2x + 15x - 21 = 47
Combine like terms on the left-hand side of the equation:
17x - 21 = 47
Add 21 to both sides of the equation to isolate the variable term on the left-hand side:
17x = 68
Divide both sides of the equation by 17 to solve for x:
x = 4
Therefore, the value of x in the equation 2x + 3(5x - 7) = 47 is 4.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ5
The complete question would be as:
Find the value of x for the below equation. explain
2x + 3(5x − 7) = 47
A 12-foot ladder leans against the wall; the base of the ladder is 2 feet away from the wall.To the nearest tenth of a foot, how far up the wall does the ladder reach?
Solution:
The ladder, wall and base of the ladder from wall forms a right angled triangle
Length of ladder forms the hypotenuse
Length of ladder = 12 foot
base of the ladder from wall = 2 feet
To find: height of wall
By pythagoras theorem.
[tex]c^2 = a^2+b^2[/tex]
Where,
"c" is the Length of ladder
"a" is the base of the ladder from wall
"b" is the height of wall
Substituting the values,
[tex]12^2 = 2^2+b^2\\\\144 = 4 + b^2\\\\b^2 = 140\\\\b = \pm 11.832 \\\\Ignore\ negative\ value\\\\b \approx 11.8[/tex]
Thus, the ladder will reach a height of 11.8 feet on wall
The Vehicle assembly building at Kennedy space center is a rectangular prism. It is 218 m long, 158 m wide and 160 m tall. There are four 139 m tall doors in the building, averaging 29 m in width. What is the buildings outside surface area when the doors are open?
Answer:
104,196 square meter
Step-by-step explanation:
This question can be solved by using the formula of area of four side in a
rectangular prism
In the given problem we have
Length of building = 218m
width of building = 158m
height of building = 160
Area of four walls is given by formula = 2*(L + B) * H
where L is length of rectangular prism
B is width of rectangular prism
H is height of rectangular prism
Therefore total surface area of building = 2*(218 + 158)* 160 = 376*320= 120,320
___________________________________________________
No of doors in the building = 4
length of door = 139m
width of door = 29 m
area of one door = length * width = 139* 29 = 4,031
area of four door = 4* 4,031 = 16,124
___________________________________________________
we have to find surface area of building when doors are open
To find this we can subtract total area of four door from total surface area of four walls which we have calculated above
total surface area of four walls - total area of four door
=> 120,320 - 16,124 = 104,196
104,196 is the buildings outside surface area when the doors are open
Andre says, “I multiplied 4 by 5, then cubed the result.” Select all expressions that equal Andre’s answer.
The expressions which have the final answer 8000 will be equal to Andre's answer.
What is Multiplication?Multiplication is the process of adding a number repeatedly up to the times as that of the another number which is being multiplied with the given number.
For example 2 × 3 means 2 is added to itself 3 times or 3 is added to itself 2 times.
Andre says, “I multiplied 4 by 5, then cubed the result.”
Mathematically the expression is (4 × 5)³.
(4 × 5)³ = (4 + 4 + 4 + 4 + 4)³
= 20³
Now a number cubed means it is multiplied to itself 3 times.
20³ = 20 × 20 × 20
= 8000
Hence the resultant of the expression (4 × 5)³ = 8000. So all expressions which will result in an answer of 8000 will be equal to Andre's answer.
To learn more about Multiplication, click on the link here :
https://brainly.com/question/11799672
#SPJ3
There are 60 students in a class. The number of girls is three times the number of boys. How many girls are in
the class?
B = number of boys
G = number of girls
G = 3*B since there are 3 times as many girls compared to boys
B+G = 60
B+3B = 60 ... replace G with 3B, solve for B
4B = 60
4B/4 = 60/4
B = 15, so there are 15 boys
G = 3*B
G = 3*15 ... plug in value of B
G = 45, and 45 girls
as a check
B+G = 15+45 = 60, so that works out
How do you find the x-intercepts of a
rational function?
Answer:
Step-by-step explanation:
PUT y or f(x) = 0......then find x
Which graph shows the function y=(1/3)3x?
Answer: y=0
Step-by-step explanation
In the cylinder below, the radius, r, is 5 m, and the volume is 200 m3. What is the altitude of the cylinder?
A.
4 m
B.
13 m
C.
16 m
D.
8 m
Express 0.003259 in standard form correct to two significant figures
explain please
Answer:
5.9 x 10^-5
Step-by-step explanation:
Move the point to the right . The power of the exponent becomes negative because we’re moving the point from left to right. The opposite is the case if we move the point to the left .
To two significant figures, move the point until you have just two figures left. So
5.9 x 10^-5 is the answer
Answer: 3.3×10^-3
Step-by-step explanation:
0.003259 in standard form
When you see a standard form questions like this,you have to be patient
You will have to count the zeros backward
How many zeros are in front of the 3,that's two right
That means you take the decimal to the back of 3,that means the decimal is jumping three numbers
Since you are counting backward, that will be negative
So we have,
3.259×10^-3
Now to two significant figures
You will round up the 5 behind the 2 to 1 and add to the 2
Making 3,
So we have
3.3×10^-3
Plot the point ( 2, - /4
Answer:
A.
Step-by-step explanation:
The first number is 2, so 2 must be plotted on the X radius (because it goes by X first). B plots X on the Y axis so therefore, by process of elimination, A is the answer.
At a car dealership, the sales records of weekdays and weekends were examined. Ten of the days examined were weekdays and 10 of them were weekend days. The following statistical information was calculated from the number of sales made during weekdays and weekends.
Weekday
Sales Weekend
Sales
Mean 15 18
Median 13 19
Mode 14 21
Range 10 13
Based on these samples, what generalization can be made?
A.
Not enough information is provided to draw any of these conclusions.
B.
More cars were sold on the weekdays than on the weekends.
C.
The same number of cars were sold on the weekends as on the weekdays.
D.
Less cars were sold on the weekdays than on the weekends.
Answer:
I believe D is the answer
Step-by-step explanation:
Jennifer has the scatterplot shown for her data set, where water is measured in ounces, and is trying to describe the line of best fit. Which choice correctly describes the line of best fit? A) As the temperature increases, her water intake decreases. B) As the temperature increases, her water intake increases. C) As the temperature decreases, her water intake increases. D) There is no relationship between temperature and water intake.
Answer: B. As the temperature increases, the water take increases.
Step-by-step explanation: I just took the test
Scratchpad
Fabian needs 45 square feet of posterboard for an art project. He buys a sheet of posterboard with a length of
30 inches and a width of 2 feet. Which option correctly explains why this is enough posterboard for the project?
A
Yes, he will have enough posterboard because 2 x 12 = 24 inches. Then, 24 x 30 = 720 square inches,
and 720 = 60 square feet.
B
Yes, he will have enough posterboard because 10 = 2.5 feet. Then, 2.5 x 2 = 5 square feet.
C Yes, he will have enough posterboard because 39 = 2.5 feet. Then, 2.5 + 2 = 4.5 square feet.
D Yes, he will have enough posterboard because 30 x 2 = 60 square inches. Then, 99 = 5 square feet.
Answer:
The correct option is option (B)
Yes, he will have enough poster board because 10 = 2.5 feet. Then, 2.5 x 2 = 5 square feet .
Step-by-step explanation:
1 foot = 12 inches.
Fabian needs 45 square feet of poster board for an art.
Actually, the area of the poster is 4.5 square feet.
[Since the unit of 4.5 is square feet, so it is unit of area.]
He buys a sheet of poster board with length 30 inches and a width 2 feet.
The units of length and width are not same.
So, first we need to convert the width in inches.
The length of the sheet is = 30 inches
=(30÷12) inches
=2.5 feet.
Total area of the sheet = length×width
=(2.5×2) square feet
= 5 square feet
So, the area of sheet is more than the area of poster.
Yes, he will have enough poster board because 10 = 2.5 feet. Then, 2.5 x 2 = 5 square feet .
Evaluate the expression x5/x2 for x =2
Answer:8
Step-by-step explanation:
Multiple 2 five times and multiple 2 two times than divide
2*2*2*2*2=32
2*2=4
32/4=8
Can someone help please?
Fill in the missing number
√□=14
For the square root of a number to be a whole number, we would need to have a perfect square. 14 is given to us, so to find the missing number, all we have to do is square 14 (or multiply it by itself).
14 x 14 = 196
The missing number is 196.
Hope this helps! :)
Find the area of a circle with the circumference of 50.27 ft
Answer:
201.1ft²
Step-by-step explanation:
The area of the circle is 200.96 ft².
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
Circumference of a circle = 2πr
This means,
2πr = 50.27 ft
π = 3.14
r = 50.27 / 2 x 3.14
r = 50.27 / 6.28
r = 8.005 ft
r = 8 ft
Now,
The area of the circle.
= πr²
= 3.14 x 8²
= 3.14 x 8 x 8
= 3.14 x 64
= 200.96 ft²
Thus,
The area of the circle is 200.96 ft².
Learn more about circle here:
https://brainly.com/question/11833983
#SPJ2
A car wheel as a diameter of 20.8 inches. About how far does the car wheel travel in:
a. 1 rotation?
b. 5 rotations?
c. 30 rotations?
Answer:
distance travelled in one rotation is the circumference of the tyre.
so
a. 1 rotation=pi×20.8
=22×20.8/7
=65.37 approx
b.5 rotations is 65.37×5
=325.86 aprox
c. 30 rotations is 30×65.37
=1961.14 inches aprox
Answer: a ≈ 65in. b ≈ 325in. c ≈ 1950in.
Step-by-step explanation:
Diameter = 20.8
Circumference = d or 2r
= 3.14
Radius = d/2
This question requires us to find the circumference as the circumference is one full rotation around the circle (car wheel in this case)
Put it all together:
C = 3.14 x 20.8
= 65.31200
R = 10.4
The question says ABOUT hence we will round it to a whole number
C ≈ 65
D ≈ 10
As the circumference is one full rotation around the circle, the circumference itself is the answer for a.
If one full rotation is equal to 65, we would have 65 x 5 for 5 and so on
65 x 5 = 325
65 x 30 = 1950
Hope this helped, have a great day/night!
A storage locker measures 5 feet by 6 feet by
14 feet. How much space in the warehouse will
the storage locker occupy?
Answer:
[tex] 420 \: {feet}^{3} [/tex]
Step-by-step explanation:
Space occupied by storage locker in the warehouse will be equal to its volume.
[tex] \therefore \: volume \: of \: storage \: locker \\ = 5 \times 6 \times 14 \\ = 30 \times 14 \\ = 420 \: {feet}^{3} [/tex]
Hence, storage locker will occupy 420 cubic feet of space in the warehouse.
Hometown Buffet has tables that can seat 6 people and booths that can seat 4 people. The restaurant has 38 seating units for seating a total of 188 people. How many tables and booths are at the restaurant?
Solution:
Let "x" be the number of tables
Let "y" be the number of booths
The restaurant has 38 seating units
Therefore,
x + y = 38
x = 38 - y ------- eqn 1
Hometown Buffet has tables that can seat 6 people and booths that can seat 4 people
Total of 188 people
Therefore,
6x + 4y = 188 ------ eqn 2
Substitute eqn 1 in eqn 2
6(38 - y) + 4y = 188
228 - 6y + 4y = 188
2y = 40
y = 20
Substitute y = 20 in eqn 1
x = 38 - 20
x = 18
Thus there are 18 tables and 20 booths are at the restaurant
which expression represents 7 times the difference between 300 and 28
Answer:
(300-28)7
Step-by-step explanation:
You always do parenthesis first and then the 7 means to do multiplication if it is right next to the parenthesis
Answer:
7(300-28)
Step-by-step explanation: All you have to do is put the 300-28 in parentheses (300-28) and then you would put the 7 on the outside of the parentheses and your answer would be 7(300-28)
Convert to scientific notation 0.0000089
Answer:
8.9 x 10^-6
Step-by-step explanation:
move decimal to the right so it makes a negative
8.9 x 10^-6
Answer:
8.9 x 10`6
Step-by-step explanation:
message me if you need a explanation
The box plots show the average wind speeds, in miles per hour, for two different islands.
Average Wind Speeds on Island A
2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities on Island A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities on Island B, the whiskers range from 1.5 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
Average Wind Speeds on Island B
Which explains, on a given day, which island is more likely to have a wind speed close to its median?
Country A because the median is closer to one end of the box in the box plot.
Country B because the median is closer to the center of the box in the box plot.
Country A because it has a smaller interquartile range.
Country B because it has a larger interquartile range.
Answer:The correct answer would most likely be Country A. (The second one.)
Step-by-step explanation:
The reasoning for that would be because if you have a smaller interquartile range, it would most likely be closer to the median and won't have a chance of falling farther.
If you have questions please ask.
I hope this helps. :)
The island that is more probable to possess a wind speed nearer to its median would be as follows:
C). Country A because it has a smaller interquartile range.
"Median" is described as the middle number that functions to "isolate the higher half of a particular data from its lower half." In the given data, Country A is more probable to possess a wind speed nearer to the median. The reason behind this is that it carries a smaller/lower interquartile range(50% values in the middle ranging from the very lowest to the highest").Thus, option C is the correct answer.
Learn more about "Median" here:
brainly.com/question/300591
(x-20) (2x+10) (x+40) find the value of x
Answer:
2 • (x - 20) • (x + 5) • (x + 40)
Step-by-step explanation:
Final answer:
To solve the equation (x-20) (2x+10) (x+40)=0, we set each factor equal to zero and solve for x, resulting in three solutions: x = 20, x = -5, and x = -40.
Explanation:
To find the value of x in the equation (x-20) (2x+10) (x+40) = 0, we need to use the property that if a product of factors equals zero, at least one of the factors must be zero. This gives us three separate equations to solve: x - 20 = 0, 2x + 10 = 0, and x + 40 = 0.
Step-by-Step Solution:
Solve x - 20 = 0: Add 20 to both sides, which gives x = 20.
Solve 2x + 10 = 0: Subtract 10 from both sides and then divide by 2, giving x = -5.
Solve x + 40 = 0: Subtract 40 from both sides, which gives x = -40.
Therefore, the solutions to the equation are x = 20, x = -5, and x = -40.
identify the degree of the polynomial. 4x4 – 3x2 + 7x – 11
Answer: x=7x−1
Step-by-step explanation:
Use the formula for the area to find the area of each light 7 inches . Use 3.14 for pi
Answer:
21.990 in circumference area 38.480 area in the square inches
Step-by-step explanation:
Answer: the area formula is A = πr2. Substitute the values of r (3.5 inches) and π (3.14) in the formula to find A:
A = 3.14 × (3.5)2 square inches
A = 38.465 square inches.
The area of each light is about 38.465 square inches.
Angel and Jayden were at track practice.The track is 25 kilometers around.
•Angel ran 1 lap in. 2 min
• Jayden ran 3 laps in 5 min.
1.How many minutes does it take angel to run one kilometer what about Jayden?
2.how far does angel run in one minute?what about Jayden?
3.Who runs the fastest? How do u know ?
Please help especially with 1 and 2 plzz my parents are mad at me and I don’t understand A bit it’s already missing I will get a. 0
Answer:
1. Angel - 0.08 mins, Jayden - 0.067 mins
2. Angel - 12.5 km, Jayden - 15 km
3. Jayden runs faster.
Step-by-step explanation:
The length of the track (1 lap) is 25 km.
Angel ran 1 lap in 2 mins. That means he ran 25 km in 2 mins.
Jayden ran 3 laps in 5 mins. That means he ran 75 km (3 * 25 km) in 5 mins.
1. To find the time it takes to run 1 km, we divide the total time taken by the total distance run.
The number of minutes it takes Angel to run 1 km will be:
T = 2 / 25 = 0.08 minutes
The number of minutes it takes Jayden to run 1 km will be:
T = 5 / 75 = 0.067 minutes
2. To calculate the distance they run in 1 min, we divide the total distance run by the total time taken.
The distance Angel runs in 1 min is:
D = 25 / 2 = 12.5 km
The distance Jayden runs in 1 min is:
D = 75 / 5 = 15 km
3. Jayden runs faster because he runs more kilometres per minutes (15 km/min) than Angel (12.5 km/min).
In other words, Jayden clocks a faster speed than Angel.