The Mathematics problem involves adding areas in different units and converting them appropriately. After conversion and addition, the correct answer from the options provided is 1 acre, 7 square feet, and 119 square inches: (a) 1a 7 sqft 119 sqin.
The subject of this question is Mathematics, specifically dealing with area measurements in different units and their conversions. The student needs to solve an addition problem that involves square yards, square feet, and square inches. To solve this problem, we must first understand that there are 9 square feet in one square yard, and we use this knowledge to convert all measurements to the same unit before summing them up.
To answer the student's question, we must add the areas given in the problem:
4,839 sq yd 8 sq ft 139 sq in7 sq ft 124 sq inFirst, we convert square yards to square feet using the conversion 1 sq yd = 9 sq ft:
4,839 sq yd = 4,839 × 9 sq ft = 43,551 sq ft
Now we add the square feet:
43,551 sq ft + 8 sq ft + 7 sq ft = 43,566 sq ft
Lastly, we add the square inches:
139 sq in + 124 sq in = 263 sq in
Since there are 144 square inches in one square foot, we must convert the excess square inches into square feet and square inches:
263 sq in = 1 sq ft (144 sq in) + 119 sq in
Adding the converted square inches to the total square feet:
43,566 sq ft + 1 sq ft = 43,567 sq ft 119 sq in
Next, we convert the total square feet to acres, understanding that 1 acre = 4,840 sq yd or approximately = 43,560 sq ft.
43,567 sq ft ÷ 43,560 sq ft per acre ≈ 1 acre 7 sq ft 119 sq in
Thus, the correct answer is (a) 1a 7 sqft 119 sqin.
Complete question is here:
Solve the following problem 4,839 sq yd 8 sq ft 139 sq in + 7 sq ft 124 sq in Select one of four
a)1a 7 sqft 119 sqin
b)4a 10 sqft 145 sqin
c)3a B sqft 130 sqin
d)2a 9 sqft 150 sqin
The question asks for the addition of different area units, which requires unit conversion. Square yards are converted to square feet and then to square inches, ensuring all areas are in the same units before adding them together.
Explanation:The question involves adding areas measured in different units (square yards, square feet, and square inches) and converting between these units. To perform the calculation correctly, we need to convert all areas to the same unit. One square yard is equivalent to 9 square feet, and one square foot is equivalent to 144 square inches. Thus, to add the areas given in the question, we should first convert the 8 sq. ft. 139 sq. in. to sq. in. by multiplying 8 by 144 and then adding 139. After that, we would need to convert this total area into square yards if required. For the second part, we convert 7 sq. ft. 124 sq. in. to square inches similarly. Once both areas are in square inches, they can be added together. Additionally, it's important to remember that there is no direct conversion between square inches and square yards, so a two-step conversion is needed via square feet.
What is the value of x?
Answer:
The value of x is 68 degrees!
Step-by-step explanation:
In this question, we have an isosceles triangle because of Base Angles Theorem. The 2 sides are congruent, which means its an isosceles and that the Base angles are congruent. So far, we know that 2 angles are equal to 112 degrees. Due to Sum Angles Theorem, we can go 180-112 to get 68 degrees!
Answer:
x=68
Step-by-step explanation:
Since this is an isosceles triangle, the bottom two angles are the same value, 56 degrees. The three angles of a triangle add to 180 degrees.
56+56+ x = 180
Combine like terms
112 +x = 180
Subtract 112 from each side
112-122 +x = 180 -112
x =68
Please help me!!!!! PLeASe Also I will be giving Brailiest
Answer:
x = 75
y = 105
Step-by-step explanation:
Remark
You can find y in two different ways.
One
You can recall that y is the sum of the 2 interior angles not connected to it. Those angles are called the remote interior angles. Or
Two
You can add the three angles to 180 and solve for x. Then since x and y are supplementary, you can find y.
Solution
One
y = 60 + 45
y = 105 Answer
Two
x + 60 + 45 = 180 All triangles have 180 degrees. Solve for x.
x + 105 = 180 Subtract 105 from both sides
x = 180 - 105 Combine
x = 75 Find an equation that relates x and y
x + y = 180 x and y are supplementary they add to 180
75 + y = 180 Subtract 75 from both sides.
y = 180 - 75 Combine
y = 105
Which table shows a proportional relationship?
Answer:
the answer is the last one
Step-by-step explanation:
i drew all the example and i would say that the last one came out having a proportional relationship.
tell me if i got it right!
Can someone help me with this sat question
Answer:
2,-2
Step-by-step explanation:
If (a, -8) is a solution to the equation -a = 4b - 7 what is a?
The value of 'a' when (a, -8) is a solution to the equation -a = 4b - 7 is '39'.
If we have the point (a, -8) as a solution to the equation -a = 4b - 7, and we're given the value of b from the point, which is -8, we can substitute this value into the equation to find 'a'.
Substituting b = -8 into the equation gives us:
-a = 4(-8) - 7
-a = -32 - 7
-a = -39
Now, we can solve for 'a' by multiplying both sides by -1 to get:
a = 39
Therefore, the value of 'a' is 39.
An electrician has $120 to spend on interior light fixtures. the wholesale price for 13-watt low-energy lamp is $4. The price for a high-energy lamp is $5. write an expression for how much the electrician spends for A units of the low-energy lamp and B units of the high-energy lamp.
complete the table for the electrician's purchase. assume that all of the $120 is spent
To find the expression for the cost of low-energy lamps and high-energy lamps, use the expressions 4A and 5B respectively. To find the values of A and B that make the total cost equal $120, solve the equation 4A + 5B = 120.
Explanation:To write an expression for how much the electrician spends on low-energy lamps and high-energy lamps, we can use the following expressions:
Cost of low-energy lamps: 4A
Cost of high-energy lamps: 5B
To complete the table, we need to calculate the values of A and B such that the total cost equals $120. Since all of the $120 is spent, the expression for the total cost would be:
Total cost: 4A + 5B = 120
We can solve this equation to find the values of A and B.
Which of the following is a solution to the inequality 7-1/5x>0?
[tex]7-\dfrac{1}{5}x>0\qquad\text{subtract 7 from both sides}\\\\-\dfrac{1}{5}x>-7\qquad\text{change the signs}\\\\\dfrac{1}{5}x<7\qquad\text{multiply both sides by 5}\\\\\boxed{x<35}[/tex]
What is the distance between the points (12,-8) and (-14,20)
Answer:
The approximate distance between the points is 38.2
Step-by-step explanation:
The distance between these two points is a diagonal line. In order to solve this problem, you need to plot your points and form a right triangle. The overall distance from one point to another on the x-axis is 26 (12-(-14)), and the overall distance from one point to another on the y-axis is 28 (20-(-8)). These two distances will form a right angle at (-14,-8). The distances on the x and y axis are the 'legs' of the triangle and the distance between the given points in the problem represents the hypotenuse. Using the pythagorean theorem (a^2 +b^2 = c^2), we can substitute in our values of 'a' and 'b' to get 28^2 + 26^2 = c^2, or 784 + 676= 1460, therefor the square root of 1460 is approximately 38.2.
So to find the distance between these two points, we are going to be plugging them into the Distance Formula and solving as such:
[tex]D=\sqrt{(12-(-14))^2+(-8-20)^2}\\D=\sqrt{(26)^2+(-28)^2}\\D=\sqrt{676+784}\\D=\sqrt{1460}[/tex]
Now, with this radical we can simplify it using the product rule of radicals (√ab = √a × √b) as such:
[tex]\sqrt{1460}=\sqrt{10*146}=\sqrt{5*2*2*73}=2*\sqrt{73*5}=2\sqrt{365}[/tex]
Answer:In short:
Exact distance: √1460 or 2√365 unitsApproximate Distance (rounded to the hundreths): 38.21 unitsThe shallowest section of an underground tunnel is -50 feet. The deepest section of the tunnel is -135 feet. How many feet below the shallowest section is the deepest section
A. -95 feet
B. - 185 feet
C. 85 feet
D. 195 feet
Answer:
The answer would be c)85 FEET
Step-by-step explanation:You start with the deepest section(-135) and add the shallowest point(50). the result is an 85 foot difference.
Answer: c 85ft
Step-by-step explanation:
which describes the angle measures of an equilateral triangle?
A) 30*,30*,30*
B) 60*,60*,60*
C) 90*,90*,90*
Answer:
B
Step-by-step explanation:
All sides have to be equal and add up to be 180 degrees therefore the answer would be 60 because 60 plus 60 plus 60 is 180.
Answer:
B
B is the only answer that adds to 180, the interior angle measures of a triangle.
makito answered 70 pecent of 30 test quedtions correctly how many questions did he answer correctly
Answer:
21
Step-by-step explanation:
which number, when placed in the box, will make the equation true?
[tex] {?}^{2} = \sqrt{64} [/tex]
A.
[tex] \sqrt{8} [/tex]
B.
[tex] \sqrt{32} [/tex]
C. 16
D. 32
[tex]\mathsf{\heartsuit\;\; (\sqrt{8})^2 = \sqrt{64}}\\\\\mathsf{\heartsuit\;\; [(8)^\frac{1}{2}]^2 = \sqrt{(8)^2}}\\\\\mathsf{\heartsuit\;\; (8)^\frac{2}{2} = [(8)^2]^\frac{1}{2}}\\\\\mathsf{\heartsuit\;\; 8 = [8]^\frac{2}{2}}\\\\\mathsf{\heartsuit\;\; 8 = 8}\\\\\mathsf{\heartsuit\;\; Option\;(A)\;is\;the\;Answer}[/tex]
The number which will make the equation true, when placed in the box is: A. √8.
How to solve for the unknown number?In order to determine the unknown number, we would assign a variable (x) to the unknown number and then evaluate the resulting algebraic equation as follows:
x² = √64
x² = 8
Taking the square root of both sides, we have:
x = √8.
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Millie needs the average height of the plants she is buying to be at least 73 inches.She has selected three plants that are 70,71,and 72 inches tall. Write and solve an inequality that Millie could use to determine the possible heights of her fourth plant
What is the solution to the system of equations?
y = x – 10
2x + y = 4
(–8, 6)
(–6, 16)
(6, –8)
(16, –6)
Answer:
The solution is the point (6,-8)
Step-by-step explanation:
we have that
The first equation is [tex]y=(1/3)x-10[/tex] instead [tex]y=x-10[/tex]
[tex]y=(1/3)x-10[/tex] -----> equation A
[tex]2x+y=4[/tex] -----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B and solve for x
[tex]2x+[(1/3)x-10]=4[/tex]
[tex](7/3)x=14[/tex]
[tex]x=6[/tex]
Find the value of y
[tex]y=(1/3)(6)-10=-8[/tex]
therefore
The solution is the point (6,-8)
The coordinates of point b
Answer:
(3, -1) PLEASE GIVE BRAINLIEST
Step-by-step explanation:
Write a numerical or variable expression for the quantity: the number of seconds in m minutes
To find the number of seconds in m minutes, you can multiply m by 60. The numerical expression is 60m and the variable expression is 'm * 60.'
Explanation:To write a numerical or variable expression for the quantity 'the number of seconds in m minutes,' we need to know the conversion rate between minutes and seconds. There are 60 seconds in 1 minute. So, to find the number of seconds in m minutes, we can multiply m by 60.
The numerical expression would be 60m.
The variable expression would be 'm * 60.'
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6(3c - 5d +6) using distributive property
Expanding, you get 6(3c) - 6(5d) + 6(6) = 18c - 30d +36
Answer:
18c - 30d +36
Step-by-step explanation:
6(3c - 5d +6)
When we use the distributive property, we distribute the 6 to all the terms inside the parentheses
6*3c - 6*5d +6*6
18c - 30d +36
this property says you can rewrite 3 x (4+5) as (3x4) +(3 x 5).
Answer:
distributive property
Step-by-step explanation:
Distributive property says that x(y + z) = (x*y) + (x *z)
The property used in the given expression is
Distributive property of multiplication over addition.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The distributive property of multiplication over addition states that,
a(b + c) = a x b + a x c
Now,
3(4 + 5) = (3 x 4) + (3 x 5)
This is the Distributive property of multiplication over addition.
Thus,
The property of distributive multiplication over addition is used.
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The area of a rectangular mirror is 15 15/16 square feet. The width of the mirror is 3 3/4 feet. If there is a 5 foot tall space on the wall to hang the mirror, will it fit? Explain. _________ fit because the height is ______ feet.
Answer: The mirror will fit because the height of the mirror is 4 feet.
Step-by-step explanation:
we just divide 15 by 3 3/4 and get the answer of 4.
Yes, the mirror will fit on the wall because its height is approximately 4.25 feet, which is less than the 5-foot tall space on the wall.
Explanation:To determine whether the mirror will fit, we need to calculate its height. Since the area of a rectangle is given by the formula Area = Height × Width, we can find the height by rearranging the formula to Height = Area ÷ Width.
The given area of the mirror is 15 15/16 square feet and the given width is 3 3/4 feet.
After performing the division, we get the height of the mirror to be approximately 4.25 feet.
Since the space on the wall is 5 foot tall and the height of the mirror is less than this, the mirror will fit on the wall. So, the answer is: Yes, it will fit because the height is 4.25 feet.
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sasha is reading a novel wth 427 pages. she has read 276 pages. what percentage has she read?
Final answer:
Sasha has read approximately 64.66% of the novel by dividing the number of pages she read (276) by the total number of pages (427), and then multiplying the result by 100.
Explanation:
To find out what percentage of the novel Sasha has read, we need to use the formula for percentage:
Percentage = (Part / Whole) × 100
Sasha has read 276 pages of a 427-page novel. So, in this case, the part is 276, and the whole is 427.
Now we calculate:
Divide the number of pages read by the total number of pages: 276 / 427.Multiply the result by 100 to get the percentage: (276 / 427) × 100.Let's do the math:
276 divided by 427 is approximately 0.6466.Multiplying 0.6466 by 100 gives us approximately 64.66%.Therefore, Sasha has read about 64.66% of the novel.
is y=19x-5 proportional?
If x and y are proportional, then y : a = constant.
[tex]\dfrac{y}{x}=a\to y=ax[/tex] ← the equation
We have y = 19x - 5. It's not a proportional.
Which values make this equation true?
(5x^7 y^2)(-4x^4 y^5)=-20x^a y^b
A.) a=11, b=7
B.) a=11, b=10
C.) a=28, b=7
D.) a=28, b=10
When multiplying terms with exponents, just add the exponents together.
You have x^7 and x^4, so 7 +4 = 11
Y^2 and Y^5 = 2+5 = 7
so it would be -20x^11 y^7
The answer is A.) a=11, b=7
Factor the expression over the complex numbers.
x2+25
[tex]Use\\\\a^2-b^2=(a-b)(a+b)\\\\i=\sqrt{-1}\to i^2=-1\\------------------------\\\\x^2+25=x^2+5^2=x^2-(-5^2)=x^2-(5i)^2\\\\\boxed{x^2+25=(x-5i)(x+5i)}[/tex]
Solve for y.
50/90-y=5/18
Answer:
y = 5/18
Step-by-step explanation:
50/90-y=5/18
Lets simplify our fractions
50/90 = 5/9 (divide top and bottom by 10)
5/9 - y = 5/18
Subtract 5/9 from each side
5/9 -5/9 -y = 5/18 - 5/9
-y = 5/18 - 5/9
We need to get a common denominator of 18
-y = 5/18 - 5/9 *2/2
-y = 5/18 -10/18
-y = -5/18
Multiply each side by -1
-1*-y = -5/18 * -1
y = 5/18
The expression 50w+400 represents the amount of money Jenny has in her savings account after an unknown number of weeks. How much money does Jenny originally have in her savings account? Which part of the equation represents the amount of money she will put away each week? Explain your answers.
Answer:
400 originally, and 50 dollars a week from there!!
Step-by-step explanation:
Since the 50 is followed by the variable "w", and the w stands for week, we can believe that Jenny makes 50 dollars a week.
Because the 400 was in the her account to begin with, we know this is the amount she originally had!
There are some rabbits and some hutches. If eight rabbits are put in each hutch, one rabbit is left over. If eleven rabbits are put in each hutch, one hutch is left empty. How many rabbit hutches are there, and how many rabbits are there?
Answer:
there's 33 rabbits and 4 hutches
Step-by-step explanation:
8 x 4 = 32 plus the one left over
11 x 3 = 33 with and extra hutch
Answer:
33 rabbits and four hutches
Step-by-step explanation:
;)brainliest?
what is the value of x
enter your answer in the box
Answer:
x = 19
Step-by-step explanation:
3x - 3 = 6(x - 10)
3x - 3 = 6x - 60
+3 +3
3x = 6x - 57
- 6x
- 3x = -57
= 19
Answer:
x = 19Step-by-step explanation:
[tex](3x-3)^{0} =\left[6(x-10)] ^{0}\\[/tex] (opposite angle)
[tex]3x-3=6(x-10)\\ 3x-3=6x-60\\ 60-3=6x-3x\\ 57=3x\\ \frac{57}{3} =x\\ 19=x[/tex]
Quincy is trying to estimate the height of a tree in his backyard. He measures the tree’s shadow as 12 ft. He stands near the tree and measures his own shadow as 3 ft. Quincy knows that he is about 5 ft tall. He estimates the height of the tree by following these steps
Answer:
The tree is 20 ft tall.
Step-by-step explanation:
We can use ratio's to solve this problem. Take the height of the object over the shadow length.
5 ft x ft
----------- = ----------------
3ft 12 ft
Using cross products
5*12 = 3*x
60 = 3x
Divide by 3 on each side
60/3 = 3x/3
20 =x
The tree is 20 ft tall.
A rectangle with vertices A(6, 0), K(0,0), L(0,9), and M(6, 9) is rotated around the x-axis. To the nearest tenth of a cubic unit, what is the volume of the resulting three-dimensional figure? Approximate as 3.14.
Answer:
1526.0 cubic units
Step-by-step explanation:
Rotating rectangle AKLM you will get cylinder with height KA and base radius KL. From the given data
[tex]KA=\sqrt{(6-0)^2+(0-0)^2}=6,\\ \\KL=\sqrt{(0-0)^2+(9-0)^2}=9.[/tex]
The volume of the cylinder is
[tex]V_{cylinder}=\pi r^2\cdot H.[/tex]
Then
[tex]V_{cylinder}=\pi \cdot 9^2\cdot 6=486\pi \approx 1526.0\ un^3.[/tex]
What’s the area of this rounded to the nearest one’s place?
Answer:
I think I might be terribly wrong but 160,728 ft
Step-by-step explanation:
Answer:
503
Step-by-step explanation:
To find the area of a cirlce it is pi x 2 x the radius squared.
Since,this is a semi-circle you dived by 2 afterwards.
So [tex]\pi x 160 x 2 /2[/tex] is 502.857142857
Round that to the nearest one that is 503 ft squared.