612 inches is the answer to your question
To convert 51 inches to feet and inches, divide by 12 to get 4 feet with a remainder of 3 inches, making the final measurement 4 feet 3 inches.
Explanation:To convert 51 inches to feet and inches, we need to know that there are 12 inches in a foot.
Therefore, we can divide 51 by 12 to find out how many full feet we have and then take the remainder as the leftover inches.
To perform the calculation:
Divide 51 by 12 which equals 4 with a remainder of 3.So, 51 inches is equivalent to 4 feet 3 inches.This conversion from inches to feet and inches is commonly used in various measurements such as personal height, the length of materials, or dimensions for construction.
Jesse uses this expression to determine how much to pay, including tax and tip, when he goes out to a restaurant:
x(1 + 0.0825 + 0.18).
Part A
Identify the two factors of the expression.
Answer:
x is the price of the meal
(1+0.0825 + 0.18) is the total percentage on top of the price he pays with sales tax and tip.
Step-by-step explanation:
The factor x is the price of the meal. The factor (1 + 0.0825 + 0.18) is the 100% of the price, the sales tax on that price and the tip on the total. 1 + 0.0825 + 0.18 = 1.2625 is the total percentage he pays on the price. He pays 26.25% in addition of the price of the meal to cover tax and tip.
It took 5 people to clean a classroom in 4 hours. How long would it take 4 people? Please help
Answer:
3 hours
Step-by-step explanation:
Help me please assap
Answer: G
Step-by-step explanation:
(x, y) → ([tex]\frac{1}{8}x[/tex], [tex]\frac{1}{8}y[/tex])
means that the new quadrilateral will be [tex]\frac{1}{8}[/tex] the size of the original quadrilateral, so it will be smaller because the it maps to a fraction that is less than 1.
Which linear equation describes the line passing through point (10,3) and has a y-intercept at (0,-1)?
Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:
C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]
The image shows a trapezoid ABCD that has been dilated to form a trapezoid A'B'C'D'. We need to determine which rule represents the dilation applied to trapezoid ABCD to create A'B'C'D'.
To find the rule, we can follow these steps:
1. Choose a Corresponding Point: Pick a point from the original figure and its corresponding point in the dilated figure.
2. Calculate Scale Factor: Determine the scale factor by comparing the distances of the chosen points from the origin.
3. Formulate the Rule: The rule for dilation with respect to the origin is given by [tex]\( (x, y) \to (kx, ky) \)[/tex], where [tex]\( k \)[/tex] is the scale factor.
Looking at the grid in the image:
- Point B has coordinates (-2, -3).
- Point B' has coordinates (-4, -6).
The coordinates of B' are exactly double those of B, indicating that every coordinate is scaled by a factor of 2. This fits the dilation rule of [tex]\( (x, y) \to (2x, 2y) \).[/tex]
Thus, the correct rule that represents the dilation applied to trapezoid ABCD to create A'B'C'D' is:
C. [tex]\( (x, y) \to (2x, 2y) \)[/tex]
This means the rule for the dilation is to multiply both the x and y coordinates by 2, which is the scale factor for the dilation.
Reduce the fraction to lowest terms m^2/m^2-n^2
Answer:
[tex]\boxed{\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}}[/tex]
Step-by-step explanation:
Factor [tex]\bold{m^2-n^2}[/tex]
[tex]\bold{\left(m+n\right)\left(m-n\right)}[/tex]
Rewrite Equation
[tex]\bold{\frac{m^2}{\left(m+n\right)\left(m-n\right)}}[/tex]
Answer:
[tex]\frac{m^2}{(m+n)(m-n)}[/tex]
Step-by-step explanation:
Here we have to simplify the denominator of the expression given in the question.
We will use the formula for
Difference of the squares which us given as under
[tex]a^2-b^2=(a+b)(a-b)[/tex]
Let us now simplify the denominator
[tex]m^2-n^2=(m+n)(m-n)[/tex]
Hence
Our answer is
[tex]\frac{m^2}{(m+n)(m-n)}[/tex]
Find an equation for the nth term of the arithmetic sequence. -17, -13, -9, -5, ...
Answer:
The nth term is [tex]a_n=4n-21[/tex]
Step-by-step explanation:
The given arithmetic sequence is -17, -13, -9, -5, ...
The first term of this sequence is [tex]a_1=-17[/tex].
The common difference can be found using any two consecutive terms.
The common difference is [tex]d=-5--9=4[/tex]
The nth term of arithmetic sequence is given by the formula:
[tex]a_n=a_1+d(n-1)[/tex]
We plug in the values to obtain:
[tex]a_n=-17+4(n-1)[/tex]
Expand
[tex]a_n=-17+4n-4[/tex]
Simplify:
[tex]a_n=4n-21[/tex]
Given that y varies directly with x and that y = 60 when x = 20, find y when x = 12.
1.y varies directly with x
2.substitute the value of x and y in the equation below
y=kx
where k is the constant term
60=20k
k=60\20
k=30
:y=30x.....is the law
To find y when x is 12
You reinstate the law which is y=30x
Then substitutes the value of x to determine y
y=30*12
y=36.
Simplify (−2)∙(2a−b)+3(a+b) PLz and Thanks
Answer:
-a+5b
Step-by-step explanation:
(-2)x(2a-b)+3(a+b)
Multiply
Remove Parenthesis
-2(2a-b)+3a+3b
Multiply parenthesis by -2
-4a+2b+3a+3b
collect like terms
-a+5b
HURRY!!!! GIVING BRAINLIEST AND 99 POINTS!!!!! What was one invention of the Tang or Song dynasty, and how did it affect China?
The use of gunpowder. Specifically military use, this helped fight wars and win wars because they were able to use the gunpowder. (Not 100% sure)
One important invention that was created in the Song dynasty was the invention of paper money.
Before paper money, people in China used metal and stone coins, which were bulky and could get really heavy at times. However, the paper money made it much easier to carry currency over long distances for trading without the large weight that metal coins had.
This invention affects the whole world today, as many countries have adopted the concept of paper money and still use it. Let me know if you need any clarifications or extra info, thanks!
~ Padoru
Find the constant of variation k for the direct variation. 4x = -6(y)
Answer: [tex]k=-\frac{2}{3}[/tex]
Step-by-step explanation:
By definition, a direct varition is expressed as following:
[tex]y=kx[/tex]
Then, y is directly proportional to x and k is the constant of variation.
Therefore, given the direct variation:
[tex]4x=-6y[/tex]
You must solve for the variable y as you can see below:
[tex]4x=-6y\\\\y=-\frac{4}{6}x\\\\y=-\frac{2}{3}x[/tex]
Therefore, as you can see, the constant of variation is the following:
[tex]k=-\frac{2}{3}[/tex]
A line has a rise of 6 and a slope of . What is the run? 30 90 120
Answer:
There's not enough information here to complete this problem.
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
i got it right i took the lesson
Ivan is painting 3 walls in his living room. Each wall measures 9 3/4 feet tall by 14 1/4 feet wide. Ivan needs to estimate the total area he will paint in order to determine the amount of paint to purchase. Which expression best represents the estimated area in square feet that Ivan will paint?
Answer:
The estimated area is [tex]416\frac{13}{16}\ ft^{2}[/tex]
Step-by-step explanation:
we know that
To estimate the area that Ivan will paint , calculate the area of one wall and then multiply by 3
step 1
Convert the dimensions to an improper fractions
[tex]9\frac{3}{4}\ ft=\frac{9*4+3}{4}=\frac{39}{4}\ ft[/tex]
[tex]14\frac{1}{4}\ ft=\frac{14*4+1}{4}=\frac{57}{4}\ ft[/tex]
step 2
Find the area of one wall
[tex](\frac{39}{4})*(\frac{57}{4})=\frac{2,223}{16}\ ft^{2}[/tex]
step 3
Multiply the area of one wall by 3
[tex](3)*\frac{2,223}{16}=\frac{6,669}{16}\ ft^{2}[/tex]
step 4
Convert to mixed number
[tex]\frac{6,669}{16}=\frac{6,656}{16}+\frac{13}{16}=416\frac{13}{16}\ ft^{2}[/tex]
Answer: 3(10 x 14)
Step-by-step explanation: it said in the question or it's more like a hint: "Ivan needs to estimate the total area" and "estimated area in square feet that Ivan will paint?" those are hints to multiple then numbers kinda like adding but adding more into it.
Sorry if it didn't make sense but 3(10 x 14) is what I got in my information which I had written on a paper to figure out what the answer was to the question!
Have a wonderful day! God loves you.
Is that right?
7x3=21
21+5=26
Answer:
yes
Step-by-step explanation:
the correct answer is 2 after rounding it off to the nearest number
625 / 2500 simplified?
Answer:1/4
Step-by-step explanation:
- Divide the numerator and the denominator by 625
- Divide the numbers
- YOUR FINAL ANSWER
Hope I was able to satisfy your needs
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\frac{625}{2500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{125}{500}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{25}{100}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{5}{20}[/tex] [tex]\frac{/5}{/5}[/tex] = [tex]\frac{1}{4}[/tex]
or
divide [tex]\frac{625}{2500}[/tex] by 625 numerator and denominator and get the same answer, [tex]\frac{1}{4}[/tex]
the slash[ / ]means to divide
plz give a brainliestttt
Help! its division pretty easy now do it!
Solve the following:
8,106 ÷ 114
A) 71 R12
B) 75 R67
C) 82 R26
D) 87 R43
The answer is A) 71 R12
The answer would be A) 71 R12
what is the volume of a cyclinder with radius 4 and height 13
Answer:
117π or 367.56634047
Step-by-step explanation:
Volume = π × r² × h (r=radius and h=height)
Volume = π × 4² × 13
Volume = π × 9 × 13
Volume = π × 117
Volume = 117π
Trigonometry please help #2 ASAP
1. cos (angle) = adjacent leg / hypotenuse
cos(50) = 10/X
x = 10/cos(50)
x = 15.6 feet
2.
tan(angle) = Opposite leg / adjacent leg
tan(5.5) = 600/x
x = 600/tan(5.5)
x = 6,231.2 feet.
he midpoint of segment AB is (5, 3). The coordinates of point A are (1, 5). Find the coordinates of point B.
Answer:
B: (9, 1)
Step-by-step explanation:
The mid point is (5, 3). Compare the x and y values to point A: (1,5)
We can see that the 'x' coordinate is 4 units higher than point A, so the x value for point B will be 4 points higher than the x value of the mid point.
5 + 4 = 9
We can see that the 'y' coordinate is 2 units less than point A, so the y value for point B will be 2 points less than the y value of the mid point.
3 - 2 = 1
Answer:
B coordinate is ( 9 ,1).
Step-by-step explanation:
Given : The midpoint of segment AB is (5, 3). The coordinates of point A are (1, 5).
To find : Find the coordinates of point B.
Solution : We have given
Midpoint of segment AB = (5, 3).
The coordinates of point A = (1, 5).
Mid point : [tex]\frac{(x_{1}+x_{2}}{2} ,\frac{(y_{1}+y_{2}}{2})[/tex].
On plugging the values.
(5,3) = [tex]+\frac{1+x_{2}}{2} ,\frac{(5+y_{2}}{2})[/tex].
Now on comparing x coordinates
[tex](\frac{(1+x_{2}}{2})[/tex] = 5
On multiplying both number by 2
1 +[tex]x_{2}[/tex] = 10.
On subtracting both sides by 1.
[tex]x_{2}[/tex] = 9
Now on comparing y coordinates
[tex]\frac{(5+y_{2}}{2})[/tex] = 3
On multiplying both number by 2
5 +[tex]y_{2}[/tex] = 6
On subtracting both sides by 5.
[tex]y_{2}[/tex] = 1
Then B coordinate is ( 9 ,1).
Therefore, B coordinate is ( 9 ,1).
Therefore, B coordinate is ( 9 ,1).
may somebody help me please.
Answer:
(4,-6)
Step-by-step explanation:
4x+y = 10
We know y = -6
Substitute it in
4x -6 = 10
Add 6 to each side
4x-6+6 = 10+6
4x =16
Divide by 4
4x/4 = 16/4
x =4
A cylindrical oil drum has a diameter of 2 feet and a height of 3 feet. What is the volume of the oil drum?
Final answer:
The volume of the cylindrical oil drum is 9.426 cubic feet.
Explanation:
The volume of a cylindrical oil drum can be calculated using the formula V = πr²h, where r is the radius of the drum and h is the height. In this case, the diameter of the drum is given as 2 feet, so the radius is 1 foot (since the radius is half the diameter). The height of the drum is given as 3 feet. Therefore, the volume of the oil drum can be calculated as follows:
V = 3.142 × (1 foot)² × 3 feet
Calculating this, we get:
V = 3.142 × 1 foot × 1 foot × 3 feet = 9.426 cubic feet
So, the volume of the oil drum is 9.426 cubic feet.
frank is a time-share brokers. his earnings are based on a graduated commission. he receives 3% on any time-share sale up to $10,000 and 5% for any amount over the $10,000. last saturday he sold a time-share for $10,500. how much did he make selling the time-share?
Answer:
$325
Step-by-step explanation:
Time-share = $10 500
On first $10 000 ,
Commission at 3 % = 0.03 × 10 000 = $300
On remaining $500,
Commission at 5 % = 0.05 × 500 = 25
Total commission = $325
Frank made $325 selling the time-share.
Which of the following is an arithmetic sequence?
Answer:
0,2,4,6
Step-by-step explanation:
This sequence is arithmetic because the same number is being added each time: 2. With the others, the number being added changes every time.
ANSWER
[tex]0,2,4,6,8,...[/tex]
EXPLANATION
An arithmetic has a constant difference .
We check to see which of the given sequences has a constant difference.
0,2,4,6,8,... has a constant difference of
[tex]d=2-0=4-2=6-4=8-6=2[/tex]
hence it is an arithmetic sequence.
1,2,4,8,... is not an arithmetic sequence because there is no constant difference.
[tex]2-1 \ne4-2.[/tex]
1,4,8,13,... is also not an arithmetic sequence because there no constant difference.
[tex]4 - 1 \ne8 - 4[/tex]
The first option is correct.
Ann, Jim, and Miguel sent a total of 115
text messages during the weekend. Jim sent 10
more messages than Ann. Miguel sent 3
times as many messages as Ann. How many messages did they each send?
Ann sent a total of 21 texts.
Jim sent a total of 31 texts.
Miguel sent a total of 63 texts.
A new pencil was 18 cm long. Now it measures 12.7 cm. How many centimeters of the pencil have been used?
18-12.7, 5.3 centimeters have been used
Answer- 5.3 cm
Step-by-step explanation:
18-12.7
Write an inequality for the given graph.
Answer:
[tex]y<0.5x-3[/tex]
Step-by-step explanation:
Find the equation of the dashed line
The line pass through the points
[tex]A(0,-3)[/tex] -----> is the y-intercept of the line
[tex]B(6,0)[/tex]
Find the slope of the line m
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{0+3}{6-0}=0.5[/tex]
Remember that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=0.5[/tex]
[tex]b=-3[/tex]
substitute
[tex]y=0.5x-3[/tex]
Find the inequality
we know that
The solution of the inequality is the shaded area below the dashed line
so
[tex]y<0.5x-3[/tex]
NEED HELP ASAPP!!!!!!!!!!!!!!!!
The answers might be B and C.
Answer:
B and C
Step-by-step explanation:
B has 4 equal parts easy. C is a more reasonable answer because a has NO equal parts.
Need Help ASAP!!!!!!!!!!!!!!!!!!!!
Answer:
Area = 52 cm2
Step-by-step explanation:
First you have to extend the line. It gave you two rectangles.
To find out the area you have to add this two surfaces.
A1 = 2*10 = 20
A2 = 8*4 = 32
Whole area = A1 + A2 = 20 + 32 = 52 square cm.
You can do this other way around and you get the same answer.
First you have to extend the line. It gave you two rectangles.
To find out the area you have to add this two surfaces.
A1 = 4*10 = 40
A2 = 2*6 = 12
Whole area = A1 + A2 = 40 + 12 = 52 square cm.
What graph are present a proportional relationship I ready
Answer: The second one
Step-by-step explanation:it's the second one because the line goes strait through the orign
Is this graph a parabola? Plz someone help!! 20pts
Yes the graph is a parabola
Step-by-step explanation:In mathematics, a parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped. The trajectory of a projectile always shows parabolic path. The shape of car headlights, mirrors in reflecting telescopes and television and radio antennae are examples of the applications of parabolas.
Find the lateral surface area of the prism
Answe
255=222-22209/33
=6868
The lateral surface area of the prism with dimensions 4 ft, 3 ft, and 1.5 ft is 21 square feet.
To find the lateral surface area of a prism, you need to add the areas of all the lateral faces of the prism.
For a rectangular prism, the lateral surface area can be calculated by finding the perimeter of the base and multiplying it by the height of the prism.
In this case, with dimensions of 4 ft, 3 ft, and 1.5 ft for the rectangular prism:
Calculate the perimeter of the base: Perimeter = 2(length + width)
Perimeter = 2(4 ft + 3 ft) = 2(7 ft) = 14 ft
Then, multiply the perimeter by the height of the prism to get the lateral surface area:
Lateral Surface Area = Perimeter x Height
Lateral Surface Area = 14 ft x 1.5 ft = 21 square feet
The complete question is: Find the lateral surface area of the prism