The number of the cows is 63 and the number of the horses is 37.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
Cheryl has a horse and cow ranch that contains 100 animals. The value of each horse is $500 The value of each cow is $200. If the total value of the 100 animals is $31,000.The number of horses and cows will be calculated by forming the expression from the given data in the question. So the two expressions are as follows.
h + c = 100
500h + 200c = 31000
Solving the above two equations by substitution method:-
h = 100 - c
Put the value of h in the second equation:-
500 ( 100 - c ) + 200c = 31000
50000 - 500c + 200c = 31000
50000 - 300c = 31000
50000 - 31000 = 300c
c = 19000 / 300
c = 63
Put the value of c in the first equation we will get the number of the horses.
h + c = 100
h + 63 = 100
h = 100-67 = 37
Therefore the number of the cows is 63 and the number of the horses is 37.
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find the distance and displacement for the following figures :
The figure (i) have a distance of 15.996 meters and a displacement of 13.892 meters and (ii) a distance of 480 centimeters and a displacement of 339.411 centimeters
How to find the distance and displacement in each trajectory
The distance is the sum of the lengths that form a trajectory and the displacement is the distance between the initial and final point of a trajectory. Then, we have the following results for each case:
Case I
Distance
d = 5 m + 0.5π · (7 m)
d ≈ 15.996 m
Displacement
[tex]D = \sqrt{(12\,m)^{2}+(7 m)^{2}}[/tex]
D ≈ 13.892 m
Case II
Distance
d = 8 · (60 cm)
d = 480 cm
Displacement
[tex]D =\sqrt{(240\,cm)^{2}+(240\,cm)^{2}}[/tex]
D ≈ 339.411 cm
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please help, i'm having trouble with this
Answer:
(2,11)
Step-by-step explanation:
What is substitution method?
The substitution method is where you plug in an expression that defines a variable into the other equation so you are left with one variable in which you can solve for.
In order to use the substitution method, one of the variables must be defined by an expression (e.g. x = 8y + 2 , the x is defined by the expression 8y + 2. )
Rearranging terms to define x or y
We have the two equations 2x + y = 15 and 7x - 2y = -8
The equation we would rearrange would likely be 2x + y = 15 as the y is by itself meaning we could easily change a few things to define it.
2x + y = 15
==> subtract 2x from both sides
2x - 2x + y = 15 - 2x
==> simplify
y = 15 - 2x
Plugging ( or substituting ) y's defined expression into the other equation.
Now that we have rearranged the equation to where "y" is being defined we can plug in the expression defined by y into the other equation and then solve for x.
2nd equation : 7x - 2y = -8
==> plug in y = 15 - 2x
7x - 2(15-2x) = -8
==> distribute the 2
7x - 30 + 4x = -8
==> combine like terms
11x - 30 = -8
==> add 30 to both sides
11x = 22
==> divide both sides by 11
x = 2
Substituing the value of x into one of the equations and then solving for y.
Now that we have calculated the value of x we can calculate the value of y by plugging in the value of x into one of the equations and solving for y.
2x + y = 15
==> plug in x = 2
2(2) + y = 15
==> multiply 2 and 2
4 + y = 15
==> subtract 4 from both sides
y = 11
The solution is (2,11)
Checking our work:
To check our work we can plug in the value of x and y into both equations. If both are true then the solution is correct but if one or both are false then the solution is incorrect.
First equation; 2x + y = 15
==> plug in x = 2 and y = 11
2(2) + 11 = 15
==> multiply 2 and 2
4 + 11 = 15
==> add 4 and 11
15 = 15
Second equation; 7x - 2y = -8
==> plug in x = 2 and y = 11
7(2) - 2(11) = -8
==> multiply 7 by 2 and 11 by -2
14 - 22 = -8
==> subtract 22 from 14
-8 = -8
Both are correct therefore (2,11) is the correct solution
what is the answer to 3a^-2/a^-3
Answer:
3a
Step-by-step explanation:
Please Help I Don't Understand!
Answer:
D) None of the choices are correct.
Explanation:
Given triangles AHL and NKG
Sides which are congruent:
AH and NKHL and KGAL and NGSo, AHL ≅ NKG. There are no such options.
find the missing angle.
Answer:90 degree
Step-by-step explanation:
Answer:
x = 90°
Step-by-step explanation:
According to the Angle Sum Property of Triangles, the sum of the internal angles is 180°.
55° + x° + 35° = 180°x° + 90° = 180°x = 90°100 PTS PLEASE ANSWER ASAP! <3
[tex]\\ \rm\Rrightarrow g(x)=6(\dfrac{3}{2})^x[/tex]
[tex]\\ \rm\Rrightarrow g(-1)=6(\dfrac{3}{2})^{-1}=6(\dfrac{2}{3})=2(2)=4[/tex]
[tex]\\ \rm\Rrightarrow g(0)=6[/tex]
[tex]\\ \rm\Rrightarrow g(1)=6(\dfrac{3}{2})=3(3)=9[/tex]
[tex]\\ \rm\Rrightarrow g(2)=6\times\dfrac{9}{4}=13.2[/tex]
Attached the graph
Answer:
Given function:
[tex]g(x)=6\left(\dfrac{3}{2}\right)^x[/tex]
To find each of the points, substitute the given values of x into the function:
[tex]x=-1 \implies g(-1)=6\left(\dfrac{3}{2}\right)^{-1}=4[/tex]
[tex]x=0 \implies g(0)=6\left(\dfrac{3}{2}\right)^{0}=6[/tex]
[tex]x=1 \implies g(1)=6\left(\dfrac{3}{2}\right)^{1}=9[/tex]
[tex]x=2 \implies g(2)=6\left(\dfrac{3}{2}\right)^{2}=13.5[/tex]
Therefore:
[tex]\large \begin{array}{| c | c | c | c | c |}\cline{1-5} x & -1 & 0 & 1 & 2 \\\cline{1-5} g(x) & 4 & 6 & 9 & 13.5 \\\cline{1-5} \end{array}[/tex]
As the function is exponential, there is a horizontal asymptote at [tex]y=0[/tex].
Therefore, as [tex]x[/tex] approaches -∞ the curve approaches [tex]y=0[/tex] but never crosses it.
So the end behaviors of the graph are:
[tex]\textsf{As }x \rightarrow - \infty, \:\:g(x) \rightarrow 0[/tex][tex]\textsf{As }x \rightarrow \infty, \:\:g(x) \rightarrow \infty[/tex]Plot the points on the graph and draw a curve through them.
Which segment does NOT intersect line AG? Please help.
Answer:
line BC
Step-by-step explanation:
Line BC is the only line that doesn’t touch line AG
On the set of axes below, graph f(x) = |x - 3| + 2.
The attached graph represents the graph of the function f(x) = |x - 3| + 2
How to graph the function?The equation of the function is given as:
f(x) = |x - 3| + 2
The above equation is an absolute value function, and it has the following parameter:
Vertex = (3,2)
Next, we plot the graph of the function (see attachment)
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What is the product of the fractions below?
1/8 * 4/5
Answer: 1/10
Step-by-step explanation:
(1 x 4)/(8x5)
4/40
1/10
Jake owns stock in a high-tech firm. Each share is currently valued at $61 per share, which is 22% more than Jake paid to purchase it. What did Jake pay per share?
The price per share of the stock of the high-tech firm that was purchased by Jake is $50.
What is the price per share?Percentage is a measure of frequency that calculates the fraction of an amount out of hundred.
What is the price per share of the stock purchased by Jake = current value / ( 1 + percentage increase)
61 / 1.22 = $50
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which expression is equivalent to 56x - 28y + 42?
A) 8(7x-3y + 6)
B) 7(8x + 4y +6z)
C) 7(8x - 4y + 6)
Answer: c or a
Step-by-step explanation:
two angles forming a linear pair are
Answer:
Two angles forming a linear pair are always supplementary. Linear pair of angles are formed when two lines intersect each other at a single point, and the sum of angles of a linear pair is always equal to 180°.
Step-by-step explanation:
Two angles forming a linear pair are always supplementary. Linear pair of angles are formed when two lines intersect each other at a single point, and the sum of angles of a linear pair is always equal to 180°.
Question :
Two Angles Forming Linear pair are .…............ .Answer :
Two Angles Forming Linear pair are always supplementary ( sum of angles = 180⁰ ) .They are formed when two lines intersect each other at one point and the sum of angles is 180⁰ .
The preimage undergoes the sequence of transformations to produce an image, figure 1.
1. reflection across a horizontal line
2. rotation counterclockwise about point P
3. dilation with a scale factor of 1
Based on the transformations that occurred, the preimage is most likely the topmost right image.
Where is the preimage?The transformations list shows that the first transformation was the reflection across the horizontal line drawn.
When a reflection is done, the shape looks like the inverse of itself. The only shape that looks like an inverse and is therefore a reflection is the bottom right shape which means the preimage must be the top right image.
Remaining part of question:
Which is the preimage?
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The function(t)--4.87+18.75 is used to model the height of an object projected in the air, where h() is the height in
meters and t is the time in seconds. What are the domain and range of the function h(0)? Round values to the nearest
hundredth.
25
20+
(1.9, 18.05)
15-
10+
st
"
The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.
How to calculate the domain of the function?In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:
0= -4.87t² + 18.75t.
4.87t(-t + 3.85) = 0
t = 0 or t = 3.85.
Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).
How to calculate the range of the function?h(t) = -4.87t² + 18.75t
h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)
h(t) = -4.87(t - 1.925)² + 18.05
Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).
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Answer:
A on EDGE 2022
Step-by-step explanation:
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points)
Part B: Make tables to find the solution to 4x = 2x−2. Take the integer values of x between −3 and 3. (4 points)
Part C: How can you solve the equation 4x = 2x−2 graphically? (2 points)
(10 points)
Answer:
Step-by-step explanation:
A: The expression 4x = 2x - 2 reduces to x = -1. This is true for all values of y, since y is not a factor in this expression.
The two other equations intersect at point (-1, -4). See the attached graph (Solutions2)
y = 4x
y = 2x−2
============
Mathematically, we can substitute the value of y from the first equation into the second:
y = 2x−2
(4x) = 2x−2
2x = -2
x = -1
The intersection of this two lines is (-1,-4). Since x=-1, this is also the solution to 4x=2x-2, as per the above.
B: See attached Result Table
C: See GraphEquation2
Triangle ABC is an isosceles triangle.
AB = BC
mB = 34°
What is mA?
A. 34°
B. 56°
C. 73°
D. 112°
Answer:
C. 73
Step-by-step explanation:
angles A and C will be the same because their sides are the same length!
so to solve this, let's set up an equation
34 + 2x = 180 let x represent the missing anglenow let's solve!
2x = 146x = 73angle A = 73
let me know if you have any questions :)
Answer:
C!
Step-by-step explanation:
Answer gets brainlist
If x=3 and y=-2, the value of -2xy³ is
A 10
B -48
C -96
D 40
Answer:
B
Step-by-step explanation:
if
x=3
y=2
-2xy²
3
2³=8
-2×3×8
= -48
What is
5×5×5×5×5×5×5×5×5×5×5×5×5+5×5×5-78+67=
8x+72.8=5x+84.5 solve for x
8x+72.8=5x+84.5
8x-5x = 84.5-72.8
3x = 11.7
x = 3.9
x = {3.9}
Please help me I literally suck at algebra
Answer:
4
Step-by-step explanation:
Given :
f(x) = x² - 6x + 8
=============================================================
Solving :
Splitting the middle term :
⇒ f(x) = x² - 6x + 8
⇒ f(x) = x² - 2x - 4x + 8
⇒ f(x) = x (x - 2) - 4 (x - 2)
⇒ f(x) = (x - 4)(x - 2)
============================================================
Solutions :
⇒ x - 4 = 0 ⇒ x = 4
⇒ x - 2 = 0 ⇒ x = 2
Please Help I Don't Understand
Step-by-step explanation:
please Mark me brainlist!!
Which expression is equal to p + (q + r)?
(p + q) ⋅ r
(p + q) + r
p + qr
q + pr
Answer:
(p + q) + r
is the correct answer
Use the information below for 6 and 7. Data was collected on hours per week spent doing homework by the students in two classes.
Answer:
A its becuase im rewlly smart
(6x10^7) divided by (2x10^3) give your answer in standard form
Answer:
In the end, the answer is: 30,000
Step-by-step explanation:
[tex]\frac{60,000,000}{2,000} = 30,000[/tex]In brianna's homeroom class, 9% of the students were born in march and 40% of the students have a blood type of o+.
what is the probability of a student chosen at random from tania's homeroom class being born in march and having a blood type of o+?
(enter the answer as a percent)
Answer:
3.6%
Step-by-step explanation:
Because the two events are independent, their probabilities are multiplied, so the probability of a student being born in March and having a blood type of O+ is 9% * 40% = 0.09 * 0.40 = 0.036 = 3.6%
helppp quickkkkkkk enough points
Answer:
[tex]a=2\\\\ b = 20\\\\ c = 47[/tex]
Step by step explanation:
[tex]a(x) = 2(x+5)^2 -3\\\\~~~~~~~=2(x^2 +2 \cdot 5 \cdot x +5^2) -3\\\\~~~~~~~=2(x^2 +10x+25) -3\\\\~~~~~~~=2x^2 +20x +50 -3 \\\\~~~~~~~=2x^2 +20x +47\\\\\text{By comparing}~ 2x^2 +20x +47~ \text{with the standard form}~ ax^2 +bx+c,\\\\a=2,~ b = 20,~ c = 47[/tex]
Answer:
A or 57 7/9ft3
Step-by-step explanation:
13/3x10/3x4/1 = 520/9=57 7/9
GIVING BRAINLIEST PLEASE ANSWER QUICKLY I APPRECIATE IT SO MUCH PLS HELP im like begging
Answer:
x=28
Step-by-step explanation:
cos60°=14/x
0.5=14/x
x=14/0.5
x=28
Answer:
A. 28
Step-by-step explanation:
The value of x is equal to 18
Hope this helps and please feel free to comment, ask questions, give feedback, and correct me if I am wrong!
Have a great day!
:)
A farmer creates a rectangular pen using part of the wall of a barn for one side of the pen and a total of 130 feet of fencing for the remaining 3 sides, as shown in the diagram. Write and equation which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn
The equation that describes the which gives the area of the pen, A, as a function of x, the length of fence parallel to the barn is A = 130x - x²
How to find area of a rectangle?The pen is rectangular. Therefore,
area of a rectangle = lw
where
l = lengthw = widthTherefore,
perimeter = 2w + l
perimeter = 2w + x
130 = 2w + x
130 - x = 2w
w = 65 - 1/ 2 x
A = xw
A = x(65 - 1/ 2 x)
A = 65x - 1 / 2 x²
Therefore, the function that represents A, the area of the pen is as follows:
A = 130x - x²
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Tom has 12 candies and
eats 2 each minute. sue
has 6 candies and eats 1
every minute. after how
many minutes will they have
the same number of
candies?
Answer: once tom eats 6 candys he will have the same number as sue
Step-by-step explanation:
Answer:
After 6 minutes they will both have 0 candies.
Which choice is it down below?
Answer:
B. AC > AB
Step-by-step explanation:
AC is the longest line and AB is shorter than AC