Answers
the carpet is rectangular, thus its area is simply the product of its two dimensions, namely 8*6 = 48 m².
how much is the shaded area? well, since it's also rectangular, its area is also that product of 2*2 = 4, recal is a square so length = width = 2.
[tex]\bf \stackrel{\textit{how many times does 48 go into 4?}}{\cfrac{shaded}{total~area}\qquad \cfrac{4}{48}\implies \stackrel{simplified}{\cfrac{1}{12}}}[/tex]
Related Questions
a direct variation includes the points (4,20) and (1,n). find n
Answers
The constant of variation in a direct variation is found by dividing the y-coordinate by the x-coordinate. Using this constant, we can determine the y-value of a point given the x-value. In this case, n = 5.
Explanation:In a direct variation, the ratio of the two variables is constant. This means that the product of the two corresponding coordinates of any two points is always the same.
Given a point (4,20), we can find the constant of variation by dividing the y-coordinate by the x-coordinate, which yields 20/4 = 5. So, the constant of variation (k) is 5.
For the point (1, n), the product of the two coordinates should also yield the same constant of variation. Therefore, 1 * n = 5. Solving for n, we find that n = 5.
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2/3x - 2= 7 how do I solve it as a mixed number can someone help me please.
Answers
Answer:
13 1/2
Step-by-step explanation:
solve for x by simplifying both sides of the equation then isolating the variable.
you get 13 1/2
Answer:
The answer is 13 1/2
Step-by-step explanation:
Start by adding 2 to both sides.
2/3x - 2 = 7
2/3x = 9
Now multiply both sides by 3/2
2/3x = 9
x = 27/2
Now divide 27 by 2 which is 13 with a 1 remainder. We express that 1 over the 2 as the fraction.
13 1/2
2. Delia and Beto left for school at the same time.
Delia lives 3/4 mile from school and walks at a pace of
16 minutes per mile. Beto lives 3 1/2 miles from school
and bikes at a pace of 3 minutes per mile. Who will get to
school first?
Answers
Answer:
Beto will get to the school first.
Step-by-step explanation:
We are given that Delia lives 3/4 mile from school and walks at a pace of
16 minutes per mile.
So Delia takes [tex] \frac{3}{4} \times 16 = [/tex] 12 minutes to reach school.
While Beto lives 3 1/2 miles from school and bikes at a pace of 3 minutes per mile.
So Beto takes [tex] \frac{7}{2} \times 3 = [/tex] 10.5 minutes to reach school.
Therefore, Beto will get to the school first.
Sales tax is an every day example of where________ are used.
Answers
Answer:
Sales tax is an every day example of where percents are used
Step-by-step explanation:
" Percentages " are used for sales tax.
What is sales tax ?It is a tax which is a consumption tax required to pay to government for every goods.
Formula to calculate sales tax,
Sales tax = Cost of an item × Rate of sales tax
What is percentage ?Percentage is defined as the quantity in whole quntity, where the whole quantity is always 100.
It is denoted by the symbol "%"
Example - If someone gets 80% in an exam, this means that he scored 80 out of 100.
What is the required answer ?Sales tax is an everyday example of where percentages are used.
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write an expression that is equal to 10 using only four 2s and any number of math symbols
Answers
[tex](4 \times 2) + 2[/tex]
2x2x2+2=10. According to PEMDAS. You would multiply before you add so 2x2x2 equals 8 and then you add 2 more and you have 10
Helpppppp I don’t understand Anwsers welcome
Answers
Answer:
Just substitute values for x in such as 1,2,3,4 and 5 for the both the equations
Step-by-step explanation:
1) Intersection point is at (-1, 2)
3) Intersection point is at (-2,3)
Good luck ^-^
By the way just for the future I'll teach you how to to the problem because it'll be 10x easier for you!
Let's say you have the equation y = -4x - 2
You go 2 down on the y-axis. So place a point on (0, -2)
After that we have -4x which is actually -4/1 which means +1 for the x-axis and -4 on the y-axis!
Which determines our new point to be on (1, -6)
And you just make the lines now or to make it even easier flip (1, -6) to (-1, 6)
That'll make drawing your lines way easier! Good luck ^-^
A supersonic jet was flying at a constant velocity starting 8,400 kilometers west of U.S. airspace. It
flew one-third of the way to U.S. airspace in 2 hours. What was the jet's velocity?
Write your answer as a whole number.
Answers
Answer:
1,400 km/hr
Step-by-step explanation:
One third of the distance 8,400 km is 2,800 km.
The unit rate (speed) of the jet is therefore
2,800 km
--------------- = 1,400 km/hr
2 hr
PLEASE HELP!!!!!!!
Jacob makes the following statement:
"I have a 60% chance of being selected as the captain of the baseball team and a 20% chance of being elected student body president."
What is the probability that Jacob will be selected as the captain of the baseball team and will be elected student body president? (5 points)
a
80%
b
40%
c
12%
d
8%
Answers
so 60%+20%=80%
Calculate the circumference of the following circles correct to one decimal place
Answers
Diameter of circle=15cm
so, radius= D/2= 15/2
we know that circumference=perimeter
2πr= 2×22/7×15/2=47.1428cm
Answer:
47.1 cm
Step-by-step explanation:
For this problem, I'll use an approximation of [tex]\pi \approx 3.14[/tex], which is good enough for the level of accuracy we need. The definition of π itself is given by the equation
[tex]\pi =\frac{c}{d}[/tex]
where c is the circumference of a circle and d is its diameter. If we want to find the circumference, we can simply multiply both sides of that equation by d to get the formula
[tex]c=\pi d\approx3.14d[/tex]
Here, we're given d = 15 cm, so plugging that in, we find our circumference to be
[tex]c\approx3.14(15)=47.1[/tex]
So the circumference of this circle is approximately 47.1 cm.
Kylie saved $550 from babysitting. She used 32% of her money for a down payment on summer camp and 3/20 of her savings for two new video games. She deposited the rest into a college savings account. Expressed as a decimal, what part of her money did Kylie deposit into her college savings account?
Answers
Answer: %53
Step-by-step explanation:
3/20=%15
15+32=%47 for both video games and camp
100-47= %53 left over for college
Answer: .53
Step-by-step explanation: Of Kylies $550, 32% was for a down payment for summer camp. This is calculated with the formula 550 x .32 = $176 down payment.
She used 3/20 for two video games. 3/20 = .15, so the video games cost .15 x $550 = $82.50.
Kylie spent $176 + $82.50 = $258.50.
$550 savings - $258.50 = $291.50 is the amount that she put into her savings account. Expressed as as decimal, it is 291.50/550 = .53, so she put .53 of her babysitting money into her college savings account.
Without graphing classify each system as independent dependent or inconsistent -x -y=7
5x-5y=5
Answers
Answer:
Is a consistent independent system
Step-by-step explanation:
we have
[tex]-x-y=7[/tex] -----> isolate the variable y
[tex]y=-x-7[/tex] ----> equation A
[tex]5x-5y=5[/tex] -----> isolate the variable y
[tex]y=x-5[/tex] ---> equation B
Compare equation A and equation B
We can affirm that
The slopes are not equal ( so the lines are not parallel)
The lines are different
The product of their slopes is equal to -1 (the lines are perpendicular)
so
The system of equations has only one solution
therefore
Is a consistent independent system
By analyzing the given equations and rewriting them to compare coefficients, it is clear that the system of equations is independent because they have different slopes and will intersect at exactly one point.
To classify the system of equations as independent, dependent, or inconsistent without graphing, we have to analyze the equations and solve for their relation to each other. The given equations are:
-x - y = 7
5x - 5y = 5
We can start by putting the equations in the same form to compare the coefficients:
Equation 1 can be rewritten as: x + y = -7 (multiply by -1)
Equation 2 can be simplified: x - y = 1 (divide by 5)
The slopes of the lines represented by the two equations are different (they are not multiples of each other) which suggests that the lines will intersect at exactly one point. This means the system of equations is independent.
Write the following coordinates where they belong in the line segments below. (5 1/2, -4 1/4) _______ (3 3/4, -1 1/4)
Answers
ANSWER
[tex](4 \frac{5}{8} , - 2\frac{3}{4} )[/tex]
EXPLANATION
The end points of the segment are:
[tex](5 \frac{1}{2} ,-4 \frac{1}{4} )[/tex]
and
[tex](3 \frac{3}{4} ,-1 \frac{1}{4} )[/tex]
The box represents the midpoint of the two points.
Using the midpoint formula;
[tex]( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]
We substitute the end points of the line segment to obtain,
[tex]( \frac{5 \frac{1}{2} +3 \frac{3}{4} }{2} , \frac{ - 4 \frac{1}{?} + - 1 \frac{1}{4} }{2} )[/tex]
This simplifies to:
[tex]( \frac{37}{8} , - \frac{11}{4} )[/tex]
We convert back to mixed numbers to get,
[tex](4 \frac{5}{8} , - 2\frac{3}{4} )[/tex]
The correct choice is B
Jason and Shawn both begin riding their bikes from different points away from the ranger station. They both ride their bikes in the direction away from the station along the same trail.
Jason starts biking 1 mile away from the station. Jason rides at a constant speed of 20 miles per hour.
Shawn starts biking 2 miles away from the station. Shawn rides at the same constant speed as Jason.
Let y represent the total miles away from the station.
At how many hours, x, will it take Shawn to catch up with Jason?
Based on the information provided, complete each expression below and determine the number of solutions.
Answers
Answer:
No Solution
Step-by-step explanation:
Jason starts riding a bike 1 mile from the station.
Shawn starts biking 2 miles from the station.
For Jason to reach Shawn, he needs to go at a higher speed. However we know that they are going at the same constant speed. Then they will never meet.
To prove it we propose the following system of equations. Where x is the hours and y is the distance in miles.
For Jason we have:
[tex]y = 20x + 1[/tex]
For Shawn
[tex]y = 20x + 2[/tex].
We want to know when Jason and Shawn are at the same distance.
Then we write the following eqution and clear x:
[tex]20x + 1 = 20x + 2\\20x -20x + 1 = 2\\1 = 2[/tex]
Equality is not satisfied. Therefore, it has no solution.
I mean Jason and Shawn will never be the same distance
Camden gets paid every 2 weeks. Federal withholding is 15.6% of his gross pay, Social Security is 6.2% of his gross pay, and Medicare is 1.45%. Find Camden net pay after 2 weeks. Show your work.
Answers
Step-by-step explanation:
F=0.156g
S=0.062g
M=0.0145g
N=g-(F+S+M)
N=g-(0.156g+0.062g+0.0145g)
N=g-0.2325g
N=0.7675g
Camden's net pay is 76.75% of his gross pay
Alternative:
100%-15.6%-6.2%-1.45%=76.75%
Final answer:
To calculate Camden's net pay, you subtract federal withholding, Social Security, and Medicare deductions from his gross pay based on provided percentages. By applying these calculations to an example, Camden's net pay from a $2,000 gross salary over two weeks would be $1,535, after deductions totaling $465.
Explanation:
The calculation of Camden's net pay involves subtracting federal withholding, Social Security, and Medicare deductions from his gross pay. Assuming Camden's gross pay is a certain amount, we'll illustrate how to find the net pay. Let's not forget to account for the percentages provided for each deduction category: 15.6% for federal withholding, 6.2% for Social Security, and 1.45% for Medicare.
Calculate Federal Withholding: Gross Pay * 15.6%.
Calculate Social Security Deduction: Gross Pay * 6.2%.
Calculate Medicare Deduction: Gross Pay * 1.45%.
Add all deductions together: Federal Withholding + Social Security + Medicare.
Subtract the total deductions from the Gross Pay to get the Net Pay.
For example, if Camden's gross pay is $2,000 for two weeks, his deductions would be:
Federal Withholding: $2,000 * 15.6% = $312
Social Security: $2,000 * 6.2% = $124
Medicare: $2,000 * 1.45% = $29
Total Deductions: $312 + $124 + $29 = $465
Net Pay: $2,000 - $465 = $1,535
7,,,,,,,,,,,,,,,,,,,,please help
Answers
Answer:
1
Step-by-step explanation:
The given expression is
[tex]\frac{2^{\frac{11}{2} }\times 2^{-7}\times 2^{-5}}{2^3\times 2^{\frac{1}{2} }\times 2^{-10}}[/tex]
Recall and use
[tex]a^m\times a^n=a^{m+n}[/tex]
[tex]\frac{2^{\frac{11}{2} -7-5}}{ 2^{3+\frac{1}{2} -10}}[/tex]
[tex]\frac{2^{-\frac{13}{2}}}{ 2^{-\frac{13}{2}}}[/tex]
Same bases are dividing, so we write one base and subtract the exponent.
[tex]2^{-\frac{13}{2}+\frac{13}{2}}[/tex]
[tex]2^0=1[/tex]
Write the standard form of the equation of the circle with its center at (-5,0) and a radius of 8 what is the equation of the circle in standard form
Answers
Answer:
[tex]\large\boxed{(x+5)^2+y^2=64}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the center (-5, 0) and the radius r = 8. Substitute:
[tex](x-(-5))^2+(y-0)^2=8^2\\\\(x+5)^2+y^2=64[/tex]
What is the least common multiple of 10, 20, and 14?
Answers
Answer:
140
Step-by-step explanation:
The multiples of 10 are : 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, ...
The multiples of 20 are : 20, 40, 60, 80, 100, 120, 140, ....
The multiples of 14 are : 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, .....
The least common multiple of 10, 20 and 14 is 140
The company Digit Tech designs a new
SmartPhone. The packaging includes an
open box made out of cardboard. The
dimensions of the box
are 12 cm long, 9 cm wide, and 9 cm high.
Digit Tech expects to sell 1500 phones and
package each phone individually in a box.
In square centimeters, what is the minimum
amount of cardboard Digit Tech needs to
package all 1500 new SmartPhones?
Answers
Answer:
The amount of cardboard Digit Tech needs to
package all 1500 new Smart Phones = 891000 square cm
Step-by-step explanation:
Points to remember:-
Surface area of cuboid
Surface area = 2(lb + bh + lh)
Where, l - Length of cuboid
b - Breadth of cuboid and
h - Height of cuboid
It is given dimensions of cardboard box
12 cm long, 9 cm wide, and 9 cm high.
To find the surface area of box
Here l = 12 cm, b = 9 cm and h = 9 cm
Surface area = 2(lb + bh + lh) = 2[(9*12) + (9*9) + (12 * 9)]
= 2(108 + 81 + 108) = 2 * 297 = 594 square cm
To find the cardboard required for 1500 box
Total cardboard = 1500 * 594 = 891000 square cm
r-23 for r= 32 what is the answer
Answers
Answer:
The answer is 9.
Step-by-step explanation:
If r=32, all you do is plug 32 where the r is
32-23=9 as your answer.
Four hours on an analog clock would be what amount of degrees?
Answers
Answer:
120 Degrees
Step-by-step explanation:
4/12 * 360
Answer:
I think the answer is 120 degrees.
Step-by-step explanation:
a rectangle with a perimeter of 32 inches has whole-number side lengths. what is the difference between the greatest and the least areas of the rectangle?
Answers
Answer:
49
Step-by-step explanation:
Let x represent the length and y represent the width of the given rectangle. The perimeter of the rectangle will be:
Perimeter = 2(x + y)
32 = 2(x + y)
16= x + y
This means, the sum of length and width of the rectangle can be 16. Since only whole number side lengths are allowed, following are the possibilities:
Side Lengths: 15, 1 Area = 15Side Lengths: 14, 2 Area = 28Side Lengths: 13, 3 Area = 39Side Lengths: 12, 4 Area = 48Side Lengths: 11, 5 Area = 55Side Lengths: 10, 6 Area = 60Side Lengths: 9, 7 Area = 63Side Lengths: 8, 8 Area = 64Hence the largest possible value of Area is 64 and the least possible value is 15. The difference is 64 - 15 = 49
What is the answer to question 17
Answers
Answer:
It is 1/1536
Step-by-step explanation:
You divide 1/512 by three since it is a cube.
Plz help!!!!!!!!!!!!
Answers
Answer: b) x = -3, x = 3
Step-by-step explanation:
[tex]g(x) = \dfrac{x-4}{x^2-9}[/tex]
The vertical asymptotes are the restrictions on x, which can be found by finding the x-values that make the denominator equal to zero.
x² - 9 = 0
x² = 9
x = ± 3
Round your answers to one decimal place, if necessary.
Find the mean and median of these data: 2, 7, 12, 14, 19, 21.
Answers
Answer:
Mean=12.5
Median=13
Step-by-step explanation:
What you do for the mean is you add all the numbers together to get 75.
You will then divide it by 6 because there are 6 numbers to get 12.5 as your answer.
The median all you do is find the middle number. The middle numbers are 12 and 14. You will take 12 and 14 and add them together to get 26.
You will then divide it by 2 to get 13 as your answer.
The Mean of the data is 12.5 and the Median of the data is 13.
What are the mean and median?
Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. The mean is calculated by adding all the data and dividing it by the number of the data.
The Median is the middle value of the data set when all the data is arranged in ascending order.
Given data is 2, 7, 12, 14, 19, 21. The mean of the data will be calculated as below:-
Mean = ( 2 + 7 + 12 + 14 + 19 + 21 ) / 6
Mean = 75 / 6 = 12.5
The Median will be calculated as below:-
Median = ( 12 + 14 ) / 2
Median = 26 / 2 = 13
Therefore, the Mean of the data is 12.5 and the Median of the data is 13.
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please help me can anyone solve this what is x^2+5x-7?
Answers
Answer:
x = (-5+-sqrt(53))/2
Step-by-step explanation:
Apply the quadratic formula to this equation with a = 1, b = 5, and c = -7.
Plug it in then simplify.
Quadratic formula is x = (-b+-sqrt(b^2-4ac))/2a
what is the range of the function f(x)=3/4 |x|-3
All real numbers
All real numbers less then or equal to 3
All real numbers less than or equal to -3
All real numbers greater than or equal to -3
Answers
The answer is the forth one.
The range of the given function is:
All real numbers greater than or equal to -3 Step-by-step explanation:We are given a modulus function f(x) by:
[tex]f(x)=\dfrac{3}{4}|x|-3[/tex]
From the graph of the function we may see that the graph continuously decreases from x= ∞ to x=0 and at x=0 the function attains the values ,
f(0)= -3
and then it again increases continuously and goes to infinity.
Hence, the function covers all the real values between -3 to ∞
i.e. The range of the function in interval form is: [-3,∞)
Hence, the answer is:
All real numbers greater than or equal to -3
Evaluate h(d) =4/9d+6 2/3 for d=3
A. 8
B. 7
C.7 1/3
D. 2 2/3
Answers
For this case we have a function of the form [tex]y = h (d)[/tex]. Where:
[tex]h (d) = \frac {4} {9} d + 6 \frac {2} {3}[/tex]
Rewriting the mixed number as a fraction:
[tex]h (d) = \frac {4} {9} d + \frac {3 * 6 + 2} {3}\\h (d) = \frac {4} {9} d + \frac {20} {3}[/tex]
Substituting [tex]d = 3[/tex]:
[tex]h (3) = \frac {4} {9} (3) + \frac {20} {3}\\h (3) = \frac {4} {3} + \frac {20} {3}\\h (3) = \frac {24} {3}\\h (3) = 8[/tex]
ANswer:
Option A
What is the volume of the prism given below?
Answers
Answer: the answer is c. 420
Step-by-step explanation:
this is because
V= L*W*H
SO
V= 12*14*5
But since there is a triangle as the base you divide by 2 or multiply by 1/2
1/2( 12*14*5)= to 420
so the answer is 420
Hoped it helped
make me brainlist
6. In a survey, 10 students and 10 teachers were asked how many hours of sleep they get each night. Here are the results.
Students: 7,6,8,9,8,9,10,10,10
Teachers: 6,6,4,5,7,8,7,8,8,8,
What is the mean of each data set? What do the means tell you about each data set?
Answers
The mean of the students' data set is approximately 8.56 hours of sleep per night, while the mean of the teachers' data set is approximately 6.7 hours of sleep per night. This suggests that, on average, students get more sleep than teachers.
Explanation:To find the mean of a data set, you need to add up all the values and then divide the sum by the total number of values. Let's start by finding the mean of the students' data set. Summing up the values: 7 + 6 + 8 + 9 + 8 + 9 + 10 + 10 + 10 = 77. Since there are 9 values in the data set, we can calculate the mean by dividing the sum by 9: 77 / 9 = 8.56 (rounded to two decimal places). Therefore, the mean of the students' data set is approximately 8.56 hours of sleep per night.
Next, let's find the mean of the teachers' data set. Summing up the values: 6 + 6 + 4 + 5 + 7 + 8 + 7 + 8 + 8 + 8 = 67. Since there are 10 values in the data set, we can calculate the mean by dividing the sum by 10: 67 / 10 = 6.7 (rounded to one decimal place). Therefore, the mean of the teachers' data set is approximately 6.7 hours of sleep per night.
The means tell us the average amount of sleep that students and teachers get each night. The mean of the students' data set (8.56) suggests that, on average, students get more sleep than the mean of the teachers' data set (6.7). This indicates that, based on this survey, students tend to get more sleep than teachers.
what is the general form of the equation of a circle with its Center at -2 1 and passing through -4 one
Answers
Answer:
x² + y² + 4x - 2y + 1 = 0
Step-by-step explanation:
The equation of a circle is given by the general equation;
(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius.
In this case; the center is (-2,1)
We can get radius using the formula for magnitude; √((x2-x1)² + (y2-y1)²)
Radius = √((-4- (-2))² + (1-1)²)
= 2
Therefore;
The equation of the circle will be;
(x+2)² + (y-1)² = 2²
(x+2)² + (y-1)² = 4
Expanding the equation;
x² + 4x + 4 + y² -2y + 1 = 4 subtracting 4 from both sides;
x² + 4x + y² - 2y + 4 + 1 -4 = 0
= x² + y² + 4x - 2y + 1 = 0
Answer:
[tex]\large\boxed{x^2+y^2+4x-2y+1=0}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
The general form of an equation of a circle:
[tex]x^2+y^2+Dx+Ey+F=0[/tex]
We have the center (-2, 1). Substitute to the equation in the standard form:
[tex](x-(-2))^2+(y-1)^2=r^2\\\\(x+2)^2+(y-1)^2=r^2[/tex]
Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:
[tex](-4+2)^2+(1-1)^2=r^2\\\\r^2=(-2)^2+0^2\\\\r^2=4[/tex]
Therefore we have the equation:
[tex](x+2)^2+(y-1)^2=4[/tex]
Convert to the general form.
Use [tex](a\pm b)^2=a^2\pm 2ab+b^2[/tex]
[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\qquad\text{subtract 4 from both sides}\\\\x^2+y^2+4x-2y+1=0[/tex]