Answers
Answer:
35
Step-by-step explanation:
It is asking you for the absolute value which is the distance from zero. Picture it on a number line. It is 35 spaces from zero.
I hope this helps!!!
Answer:
C) 35
Step-by-step explanation:
The absolute value of a number can be thought of as the distance the number is from zero on a number line. A distance is never a negative number. It can be zero or a positive number.
Asking what is |-35|, the absolute value of -35, is the same as asking "how far is -35 from zero on a number line?" The answer is 35.
To find the absolute value of a number do this:
If the number is zero, then its absolute value is 0. |0|= 0
If the number is positive, then the absolute value is just the number. For example, |9| = 9
If the number is negative, then just drop the negative sign. Example: |-3| = 3
Related Questions
a farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. if the fencing costs per linear foot to install and the farmer is not willing to spend more than , find the dimensions for the plot that would enclose the most area.
Answers
The constraint for the maximum enclosed area is the amount the farmer is
willing to spend on fencing.
The width of the plot that will give the most area, y = 83.[tex]\underline{\overline 3}[/tex] feet
The length of the plot that will give the most area, y = 125 feet
Reasons:
The given parameters are;
The cost of fencing per foot = $20
The maximum amount the farmer is willing to spend = $5000
Number of sides of fencing = 3 sides
Cost of the west side of the = Split with neighbor
Solution:
Let, y, represent the length of the fence, and let x represent the width of
the fence, we have;
Length of fence required = y + 2·x
Cost of the fence = 20·y + 20·x + (20÷2)·x = 20·y + 30·x
Therefore;
Maximum amount to be spent on the fence, 5000 = 20·y + 30·x
[tex]\therefore y = \dfrac{5000 - 30 \cdot x}{20} = 250 - \dfrac{3}{2} \cdot x[/tex]
[tex]y = \mathbf{250 - \dfrac{3}{2} \cdot x}[/tex]
Area of a rectangle = Length × Width
The enclosed rectangular area of the fencing, A = y × x
[tex]\therefore A = \left(250 - \dfrac{3}{2} \cdot x\right) \cdot x = 250 \cdot x - \dfrac{3}{2} \cdot x^2[/tex]
[tex]\therefore A = -\mathbf{ \dfrac{3}{2} \cdot x^2 + 250 \cdot x}[/tex]
The leading coefficient of the quadratic function of the area is negative,
therefore, the function only has a maximum point.
At the point of the most area, the slope, [tex]\dfrac{dA}{dx} = 0[/tex]
Finding the value of x at the maximum point, we get;
[tex]\dfrac{dA}{dx} = \mathbf{ \dfrac{d}{dx} \left( 250 \cdot x - \dfrac{3}{2} \cdot x^2\right)} = 250- 3 \cdot x = 0[/tex]
Therefore;
[tex]\mathrm{ The \ width \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ x = \dfrac{250}{3} \ feet = \underline{83.\overline 3 \ feet}[/tex]
[tex]\mathrm{ The \ length \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ y = 250 - \dfrac{3}{2} \times \dfrac{250}{3} = 125[/tex]
The length of the plot that will give the most area, y = 125 feet
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Factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3
Answers
Answer:
the coomon factor is 3xy³
by factoring we get
3xy³(4y-7xy²z+12)
Please solve step by step
Answers
Answer:
Hopefully this is the question: 7[tex]x^{2}[/tex] + 3x - [tex]x^{2}[/tex]
Step-by-step explanation:
7[tex]x^{2}[/tex] + 3x -[tex]x^{2}[/tex]
= 6[tex]x^{2}[/tex] + 3x
= 3x ( 2x + 1 )
Hopefully this helps.
write down, all the multiples of 8 less than 80
Answers
Answer:
The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and 72.
Answer:
8, 16, 24, 32, 40, 48, 56, 64, 72
Step-by-step explanation:
8, 16, 24, 32, 40, 48, 56, 64, 72
Mallika and Kishore have the same numbser o marbles. To have 100 marbles they must pool their marbles together and then gset 30 more. " which equation represents the above relationship?
Answers
Number of marbles with Mallika = x
Number of marbles with Kishore = x (same number of marbles)
To get 100 marbles = x + x + 30
=》x + x + 30 = 100
2x + 30 = 100
2x = 100 - 30
2x = 70
x = 70/2
x = 35
■ Final answer =》Mallika & Kishore both have 35 marbles each.
■ Equation =》2x + 30 = 100
■ Equation type =》Linear equation in 1 variable
______
Hope it helps ⚜
The equation for the given situation will be;
⇒ 2x + 30 = 100
Where, 'x' is represent the number of marbles.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Mallika and Kishore have the same number of marbles.
And, To have 100 marbles they must pool their marbles together and then get 30 more.
Now,
Since, Mallika and Kishore have the same number of marbles.
Hence, Let the number of marbles = x
So, We can formulate;
⇒ x + x + 30 = 100
⇒ 2x + 30 = 100
⇒ 2x = 100 - 30
⇒ 2x = 70
⇒ x = 35
Thus, Number of marbles each have = 35
And, The equation for the given situation will be;
⇒ 2x + 30 = 100
Where, 'x' is represent the number of marbles.
Learn more about the mathematical expression visit:
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#SPJ2
auestion is in the picture, 10 points!
Answers
Answer:
y = K/(16z)
Step-by-step explanation:
[tex]K=16yz\qquad\text{given}\\\\\boxed{y=\dfrac{K}{16z}}\qquad\text{divide by the coefficient of y}[/tex]
Answer this and explain please
Answers
Answer:
x = 3
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle:
15x + 5 + 22x + 4 = 120 add like terms
37x + 9 = 120 subtract 9 from both sides
37x = 111 divide both side by 37
x = 3 and to find the angles replace x with 3 in given expressions
Help me pls
Find angle fgh
Answers
Answer:
116
Step-by-step explanation:
Fast and loose: The two triangles are congruent by SSS (they are both right triangles, the hypotenuse is in common, one of the sides is congruent as a given, the second has to be because of pythagorean theorem). The two angles are thus congruent, and their measure is the same:
[tex]2x+20 = 5x-37 \rightarrow 3x=57 \rightarrow x=19[/tex]
Found x, we can find the measure of the larger angle which is [tex](2\times 19 + 20 )\times 2 = 58 \times 2 = 116[/tex]
Answer:
Angle fgh=116
Step-by-step explanation:
Since segments FI and HI are congruent and angles H and F are congruent we can safely assume that angles FGI and HGI are congruent too. Since they are congruent we're going to set up our equation like so:
(2x+20)=(5x-37)
Now we set the equations equal to each other to solve for x
-3x=-57
Divide the -3 by both sides
x=19
Now we have to plug the x into the equations
2(19)+20 and 5(19)-37
Our answer is 58 for both equations
Now we have to add 58+58 because we're solving for FGH not just FGI or HGI.
SO our final answer is 116
(Hope this helps! If I did this wrong someone please correct me and respond to this answer so that I can delete it. Have a great day!)
Harry has a balance of $-60.00. He buys 4 bags of apples at the store. 1 bag of apples costs $3. What is his balance now? Explain whether he is making a good financial decision.
Answers
Answer:
I may not know his balance but I think he's not making a good financial decision because he already has - $60 in his account and he's spending more making him more liable to burn money and it's not advisable
please help me 8x-3+4x+3
Answers
Answer:
12xStep-by-step explanation:
please help me 8x-3+4x+3
8x - 3 + 4x + 3 =
8x + 4x - 3 + 3 =
12x
Answer:
12x
Step-by-step explanation:
1. To simplify this expression, we must group like terms.
[tex](8x + 4x) + (-3 + 3)[/tex] [tex]12x + (-3+3)[/tex] [tex]12x[/tex]Therefore, the answer is 12x.
Find the equation of this line.
(0,1)
(-3,0)|
y =
x+
Answers
Answer:
y = 1/3x +1
Step-by-step explanation:
y intercept is 1 and the rise is one with a run of 3
Make x the subject of the equation x2+3=h
Answers
Answer:
x2\2+3\2=h/2 therefore x= -3\2+h\2
Eric bought a few marbles and divided equally among four of his friends and his brother, Imer. Eric lost 2 marbles and has only 7 marbles left. How many marbles did Eric buy in all.
Answers
Answer:
54 marbles
Step-by-step explanation:
7+2=9(amount Eric had in all)
9×6=54
so in all, he bought 54 marbles which he shared among his friends and brother.
ANS:54 marbles
BRAINLIEST
please help me ty
You can just do two questions or even just one but I would appreciate all
Answers
Answer:
Some answers for #4 I think!
a = 36
b = 90
c = 36
d = 90
e = 54
Sorry if they are wrong I tried my bestest!
i need help on this pls
Answers
Answer:
the answer is 15 bc 30-15=15
Step-by-step explanation:
Answer:11?
Step-by-step explanation:30 buldogs
pirates 10 plus star 9 19 in 30 wwhats left
a number y divided by 4 is greater than 22
Answers
Answer:
y ÷ 4 ≥ 22
Step-by-step explanation:
I can't find the greater than symbol, but just write the "≥" without the line underneath
Answer:
44
Step-by-step explanation:
Let the number be X
B/P,
X/4=22 Or, X=22*4
X=88
X/2=88/2=44
So the quotient of the number when divided by 2 is 44.
Hope it help and if it its correct please give brainliest
Stay Safe and healthy
Thank You
Given that E is the midpoint of AD and BC, which of the following proves that AB∥CD?
HELP ASAP!
Answers
The proof that shows that AB∥CD in the diagram given is:
1. E is the midpoint of AD --> Given
2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint
3. E is the midpoint of BC --> Given
4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint
5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem
6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem
7. AB∥CD ---> CPCTC Theorem.
The given figure showing ΔABE ≅ ΔDCE is in the image attached below.
We know that:
E is the midpoint of AD. Therefore, AE ≅ ED by the definition of midpoint.
E is the midpoint of BC. Therefore, BE ≅ EC by the definition of midpoint.
∠AEB and ∠CED are vertical angles, therefore, ∠AEB ≅ ∠CED by the vertical angles theorem.
This means that ΔAEB and ΔDEC have:
two pairs of congruent sides - AE ≅ ED and BE ≅ EC
one pair of congruent included side - ∠AEB ≅ ∠CED
Hence, ΔABE ≅ ΔDCE by the SAS Congruence Theorem.
If both triangles are congruent, it implies that all corresponding sides and angles of ΔAEB will be congruent to that of ΔDEC.
Therefore, AB∥CD by the CPCTC Theorem.
Thus, the proof that shows that AB∥CD in the diagram given is:
1. E is the midpoint of AD --> Given
2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint
3. E is the midpoint of BC --> Given
4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint
5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem
6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem
7. AB∥CD ---> CPCTC Theorem.
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which ordered pair is a solution to the equation?
Answers
and the y value into the y variable.
A. 10 = (-2/3)(-3/2) + 9
10 = (6/6) + 9
10 = 1 + 9
10 = 10
choice a is correct
Juan alquiló un auto por un día. La tarifa mínima es $490.00, con un cargo adicional de $9.70 por cada kilómetro que maneje. Juan pagó $2847.10 cuando entregó el auto. ¿Qué cantidad de kilómetros manejó? kilómetros Х $ ?
Answers
Answer:
243 km
precio de los kilómetros: $2357.10
Step-by-step explanation:
precio total = tarifa mínima + precio de los kilómetros
Para x kilómetros,
P = 490 + 9.7x
P = 2847.1
490 + 9.7x = 2847.1
9.7x = 2357.1
x = 243
precio de los kilómetros: 243 × $9.70/km = $2357.10
Respuesta: 243 km
precio de los kilómetros: $2357.10
A rectangular field is four times as long as it is wide. If the perimeter of the field is 410 yards, what are the field's dimensions?
Answers
The length of the rectangular field is 164 yards and the width is 41 yards
From the question,
We are to determine the fields dimensions
From the given information
A rectangular field is four times as long as it is wide
That is
l = 4w -------- (1)
The perimeter of a rectangle is given by
P = 2(l + w)
Where
P is the perimeter
l is the length
and w is the width
From the given information
The perimeter of the field is 410 yards
∴ 2(l + w) = 410 ------ (2)
Substitute equation (1) into equation (2)
2(4w + w) = 410
2(5w) = 410
10w = 410
∴ w = 410 ÷ 10
w = 41 yards
Substitute the value of w into equation (1)
l = 4(41)
l = 164 yards
Hence, the length of the rectangular field is 164 yards and the width is 41 yards.
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.
2x + y = 12
x = 9 - 2y
x + 2y = 9
2x + 4y = 20
x + 3y = 16
2x - y = 11
y = 11 - 2x
4x - 3y = -13
y = 10 + x
-3x + 3y = 30
2x + y = 11
x - 2y = -7
x = 2, y = 7
x = 5, y= 2
x= 3, y=5
x = 7, y=3
Answers
Answer:
the answer is 87 keep trying also the answer 45 aha tricked you
Step-by-step explanation:
um not sure of the answer but loo-kit u p on o just keep trying quay
Answer:
Hey I got you!
Step-by-step explanation:
These are the correct answers I use another easier platform you could say
What is the value of x?
Answers
explanation it is a straight angle which means it adds up to 180.
180-72=108
3x=108
x=36
Answer:
AC is straight line.
72°+3x=180°[linear pair]
3x=180°-72°
3x=108°
x=108°/3
x=36°
option c.
Write an equation in point-slope form of the line that passes through (-3, 2) and (6, - 1)
Answers
Answer:
y - 2 = -1/3 (x + 3)
Step-by-step explanation
Sorry!
Point-slope form )
Slope = (-1 -2)/(6 - (-3)
Slope = -3/9
Slope = -1/3
Using the point-slope formula and point (-3, 2)
y - 2 = -1/3(x - (-3)
y - 2 = -1/3 (x + 3) This is = to y = -1/3(x + 3) +2
Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.
A letter is randomly chosen from the alphabet.
Answer 1:
A. Infinite
B. Finite
Answer 2:
A. Discrete
B. Continuous
Answers
Answer:
Answer 1
Because the alphabet can end,it is not unlimited
question below on photo pls quick
Answers
I hope youre asking for the y=mx+b kind of equation… if so its y=2x-1
A jar contains 450 beans. Of all beans, 1/5 are mung beans and the rest are pinto beans. What is the ratio of mung beans to pinto beans?
PLEASE HELP ME!
Answers
=======================================================
Explanation:
1/5 of the beans are mung, so 4/5 of the beans are pinto. The two fractions add to 5/5 = 1.
Ignore the denominators and focus on the numerators for each fraction. We have 1 mung and 4 pinto. The values are read in this order to form the ratio 1:4 which is our answer. We cannot reduce this ratio any further.
The order is important because saying 4:1 would mean that we have 4 mung beans and 1 pinto, when it's the other way around.
Side note: The value 450 isn't needed. We could easily change it to any other multiple of 5 and get the same exact answer.
$6.00 for 3 chocolate bars how many did he pay per bar
Answers
Answer:
$2.00
Step-by-step explanation
To solve this problem, divide $6 by 3 bars which is $2 a bar
Answer:
One bar= $2
Step-by-step explanation:
6 is the amount paid, 3 is the amount of bars he got. so to find the amount for one bar you divide, 6÷3= 2
Select all that are solutions to the inequality below:
3x - 15 > 3
Answers
Answer:
solutions are all values greater than 6
Step-by-step explanation:
add 15 to each side to get:
3x > 18
divide each side by 3 to get:
x > 6
solutions are all values greater than 6
If triangle he an area of 36 and a height of 12 calculate the length of the base.
Answers
Answer:
Below.
Step-by-step explanation:
A = 1/2bh for a triangle.
36 = 1/2b(12)
36 = 6b
---- ----
6 6
b = 6
Which of the following are cube numbers. select all that apply
8/9
27
30
8/27
1/27
27/64
64
1/9
Answers
Answer:
Step-by-step explanation:
8/9 8 is a cube but 9 is not. 8/9 is not a cube
27 27 = 3^3, a perfect cube
30 Not a cube
8/27 Both 8 and 27 are perfect cubes, and so 8/27 is one also.
1/27 This is equivalent to 1^3 / 3^3 and is a perfect cube.
27/64 Both 27 and 64 are perfect cubes, so 27/64 is one also
64 64 = 4^3, a perfect cube
1/9 9 is not a cube, so 1/9 is not one either.