Answer:
There are 16 cows and 32 chickens on the farm.
Step-by-step explanation:
First, each cow and chicken has one head each, obviously. That means that the 48 corresponds to the total number of animals on Farmer John's farm. Since chickens have 2 legs and cows have 4 legs, that means that the 128 represents the separate amount of cows and chickens there are. We can let c equal the number of cows, and h equal the number of chickens. We know that the total number of animals is 48, so c + h = 48. We know that for each cow, there are 4 legs, and for each chicken there are 2 legs, so 4c + 2h = 128.
Now, we can solve by substitution. Multiplying the first equation by 2, we have 2c + 2h = 96. We can subtract this from the second equation to get 2c = 32, and c = 16. That means there are 16 cows on the farm, and since c + h = 48, there are 48 - 16 = 32 chickens on the farm.
Step-by-step explanation:
A train does a journey without stopping in 8 hours. if it had traveled 5 km an hour faster, it would have done the journey in 6 hours 40 min. what is its slower speed?
The train which is travelled same distance with two different speeds, the slower speed of a train is 25.075 km/hr
What is the relation between time, distance & speed ?The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.
Distance = Time × Speed
Given that,
A train does a journey without stopping in 8 hours
it had traveled 5 km/hr faster , Time taken = 6 hours 40 min = 6.67hr
slower speed = ?
Suppose total distance covered = X
⇒ X = V × 8 _____(i)
If he travelled 5 km/hr faster
⇒ X = (V+5) × 6.67 _____(ii)
For i and ii distance is same so we can equate both the values,
⇒ V × 8 = (V+5) × 6.67
⇒ 8V = 6.67V + 33.35
⇒ 1.33V = 33.35
⇒ V = 25.075
Hence, the slower speed is 25.075 km/hr
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Which expression is equivalent to 10y^7 - 8y^6 + 3y^4/ y^3? Assume that the deminator does not equal zero.
The expression that is equivalent to the given expression, 10y^7 - 8y^6 + 3y^4/ y^3, is y(10y³ - 8y² + 3)
Determining the equivalent of an expressionFrom the question, we are to determine the expression that is equivalent to the given expression.
The given expression is
10y^7 - 8y^6 + 3y^4/ y^3
First, we will write the given expression properly
The given expression written properly is
10y⁷ - 8y⁶ + 3y⁴ / y³
Now,
To determine the equivalent expression, factorize the numerator
Factorizing the numerator
10y⁷ - 8y⁶ + 3y⁴
y⁴(10y³ - 8y² + 3)
Thus,
The expression becomes
y⁴(10y³ - 8y² + 3) / y³
This can be written as
y⁴/y³ × (10y³ - 8y² + 3)
Now, divide y⁴ by y³
y⁴/y³ = y
Thus,
The expression becomes
y × (10y³ - 8y² + 3)
y(10y³ - 8y² + 3)
Hence, the equivalent expression is y(10y³ - 8y² + 3)
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Solve 2(3x+1)-7(x-1)=9-4x
Answer:
x=0
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation: (remember a negative times a negative equals a positive!) (combine like terms!)
2 times 3x, plus 2 times 1; -7 times x, -7 times -1 = 9 - 4x
6x + 2 -7x + 7 = 9 - 4x
-x + 9 = 9 - 4x (add 4x to both sides)
3x +9 = 9 (subtract 9 form both nines)
3x = 0 (divide by 3 on both sides)
x = 0
I hope this helps, let me know if you need more help!
Use the distance and slope formula to prove that qaudlateal ABCD IS A PARLLAGRAM
Answer:79
Step-by-step explanation:
If ABC is reflected across the y-axis, what are the coordinates of C?
Answer:
C
Step-by-step explanation:
The y axis is vertical so you only change the x value.
The coordinate of C after being reflected across the y-axis is (-6, 3) option (C) (-6, 3) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a triangle shown on the coordinate plane.
If ABC is reflected across the y-axis,
Then the coordinate of C
From the figure, the coordinate of C is(before reflection)
C = (6, 3)
The rule for transformation if reflected across the y-axis:
(x, y) → (-x, y)
(6, 3) → (-6, 3)
Thus, the coordinate of C after being reflected across the y-axis is (-6, 3) option (C) (-6, 3) is correct.
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15 POINTS!!!! PLEASE, I'M BEGGING. 15 POINTS!!!!
Which investment choice has the potential for the greatest rate of return?
Corporate bonds
Government bonds
Common stocks
Preferred stocks
Answer:
mark me as brainliest
Step-by-step explanation:
common stocks
Question 3 help me please
What is the value of x? Enter your answer in the box. X = cm 5 cm 48 cm 40 cm
The value of x in the similar triangle is 6 units.
How to find side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:
Hence,
5 / 40 = x / 48
48 × 5 = 40x
240 = 40x
divide both sides by 40
x = 240 / 40
x = 6
Therefore,
x = 6
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A dairy farm has a real estate tax rate of $57.26 per thousand dollars of assessed
value. If the farm is assessed at $665,500.00 what is the real estate tax?
JKLM is a rhombus.
m/JMN = (-x+69)*
mZLMJ = (-6x +166)
K
N
M
Find the mZLKN.
label optional
The angle LKN in the rhombus is 62 degrees.
How to find angles in a rhombus?A rhombus is a quadrilateral that has 4 sides equal to each other. The sum of angles in a rhombus is 360 degrees.
Opposite angles are equal in a rhombus. The diagonals bisect each other at 90 degrees. Adjacent angles add up to 180 degrees.
Therefore, let's find ∠LKN as follows:
m∠JMN = (-x + 69)
m∠LMJ = (-6x + 166)
Therefore,
1 / 2 (-6x + 166) = -x + 69
-3x + 83 = -x + 69
-3x + x = 69 - 83
-2x = -14
x = -14 / -2
x = 7
Therefore,
∠LKN = 1 / 2 (-6x + 166)
∠LKN = 1 / 2 (-6(7) + 166)
∠LKN = 1 / 2 (-42 + 166)
∠LKN = 62 degrees
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Find the surface area of the rectangular prism. Remember that there are 3 sets of congruent faces in a rectangular prism.
Answer:
2((3)(5) + (5)(9) + (3)(9)) = 2(15 + 45 + 27)
= 2(87) = 174 in.^2
Suppose we are minimizing the objective function value of a linear program. The feasible region is defined by 5 corner points. The objective function values at the five corner points are 4, 11, 7, 4, and 10. What type of solution do we have for this problem?.
The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..
How to determine the solution to the objective function value of a linear programBased on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.
The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.
In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.
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0.46 + (-0.642)
Please help!! Thank you!!
Answer:
-0.182
Step-by-step explanation:
Given expression:
0.46 + (-0.642)It should be noted that;
1. Positive integer + (Negative integer) = Positive integer - Positive integer
a + (-b) = a - b2. Positive integer - (Negative integer) = Positive integer + Positive integer
a - (-b) = a + bOur case is point 1. Therefore,
⇒ 0.46 + (-0.642)⇒ 0.46 - 0.642⇒ -0.182Someone please help me with this qiesrion pls
The true statement on the height of the ball when thrown from a building, given the equation, can be found to be A. The ball reaches the ground in 3 seconds.
How to find the height ?The equation given of the ball being thrown from a building, gives us the height when solved.
The height of the ball when it reaches the ground is 0 feet so we can insert this in the formula to find the time:
0 = - 5 ( t - 3 ) ( t + 5 )
We can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. So, we can set each factor equal to zero and solve for t:
t - 3 = 0 or t + 5 = 0
Solving for t in the first equation, we get:
t - 3 = 0
t = 3
Seeing as t is 3 seconds the first option is correct.
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Express as a difference: a+b, a+5
Answer:
a - (-b), a - (-5)
Step-by-step explanation:
A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.
Answer:
The answer is a-(-b)
Step-by-step explanation:
It says difference, so you delete plus sign with minus sign
Solve (x+1)2 =13/4 using the square root property
Answer:
Starting with the equation:
(x + 1)^2 = 13/4
We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.
Taking the square root of both sides, we get:
x + 1 = ±√(13/4)
Simplifying under the radical:
x + 1 = ±(√13)/2
Now we can solve for x by subtracting 1 from both sides:
x = -1 ± (√13)/2
Therefore, the solutions to the equation are:
x = -1 + (√13)/2 or x = -1 - (√13)/2
Step-by-step explanation:
HELP LAST ATTEMPT!! marking as brainliest!
Answer:
B
Step-by-step explanation:
This is a wild guess...
Determine the solution to the equation shown below.
3.2 - 1/2 (x+4) = 4.8x + 2 - 5.2x
Answer:x=-8
Step-by-step explanation:
3.2+(−1/2)x−2=4.8x+2−5.2x
−0.1x=0.8
x=-8
Answer:
x=-8
Step-by-step explanation:
x=-8
What is 1 over 4 multiplied by 7 over 2
Answer:
7/8
Step-by-step explanation:
Answer:
1/4 x 7/2
First, let's convert each fraction into percentages.
1/4= 25%
7/2= 350%
Now just multiply them together.
25x350= 8750
Convert it back into a fraction.
8750% = 175/2 = 871/2 as a fraction.
Hope this helps!
A giraffe is 5 meters 20 centimeters
A SURVEY OF 1,000 PEOPLE WAS DONE BY NEW YORK TIMES. 90% OF THE PEOPLE
DID NOT KNOW THE NAME OF THEIR REPRESENTATIVE IN CONGRESS. HOW MANY
OF THE 1,000 PEOPLE KNEW THE NAME OF THE CONGRESSMAN?
Step by step explains I need to show my work !
Answer:
100 people
Step-by-step explanation:
first we gotta find 90% of 1000 to do that we multiply 1,000×90% or 1000×0.90 (same thing)
this equals 900 so 900 people don't know the name of their rep in congress subtract 1000-900 thus 100 ppl know there rep in congress
Answer:
100 people did know they're representative
Step-by-step explanation:
You just have to scale up the problem for example 10% of 100 is 10 but 10% of 1,000 is 100(If you need me to be more clear please let me know)
PLEASE HELP! Will give brainliest.
According the given question the answer is Exterior Angle Theorem m∠BCD = 88°.
What is the Exterior Angle Theorem?
The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Since secant EC and tangent BC intersect at point C, we know that ∠ECD and ∠BCD are alternate interior angles and are therefore congruent. So we can find the measure of ∠BCD by finding the measure of ∠ECD.
mEB is an exterior angle to triangle BCD, so we can use the Exterior Angle Theorem to find that:
mEB = mECD + mBCD
Substituting the given values, we get:
171° = mECD + 83°
Solving for mECD, we get:
mECD = 171° - 83° = 88°
Since ∠ECD and ∠BCD are congruent, we know that:
mBCD = mECD = 88°
Hence, m/BCD = 88°.
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0.9t
t² + 64
Find the time
The concentration of a drug t hours after being injected is given by C(t) =
when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.
hours.
Calculator
Submit Question
Kelly manages an apartment complex with 60 apartments. The monthly rent for an
apartment in the complex is $803, of which Kelly gets 9.5%. How much does Kelly
earn in a year?
State your answer in terms of dollars rounded to the nearest whole dollar.
Answer:
$54925
Step-by-step explanation:
Monthly Rent = 803
Number of apartments = 60
Kelly's commission = 9.5% -> 9.5/100 = 0.095
So
803*60*0.095 = ?
4577.10 per month.
12 months in a year
4577.10 * 12 = $54925.20
Rounded to nearest whole dollar 54925
Kelly makes $54925 per year
NEED ANSWER FAST PLEASE HELP!!!
If y − 4 = 2x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
A. {(2, 1), (4, 2), (6, 3)}
B. {(1, 2), (2, 4), (3, 6)}
C. {(4, 0), (6, 1), (8, 2)}
D. {(0, 4), (1, 6), (2, 8)}
Answer:
D
Step-by-step explanation:
plug in the coordinates for x and y
find the measure of minor arc RV
The measure of the minor arc m∡rv = 111°
What is the explanation for the above response?Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c
Where a = ∡RV
b = ∡SU = 37°:
and c = ∠T (the angle between intersecting secants.
Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:
(a - 37) / 2 = 37
Multiplying both sides by 2 gives:
a - 37 = 74
Adding 37 to both sides gives:
a = 111
Therefore, a is equal to m∡rv = 111°.
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F(x)=2cos^2(x)-3x+4 sketch the graph of the function f(x) for the values of x between 0 and 2
To sketch the graph of the function f(x) = 2cos^2(x) - 3x + 4 for the values of x between 0 and 2, we can follow these steps:
1. Determine key points: Find the critical points and important features of the function within the given range. This includes the x-intercepts, local maxima, and minima.
2. Plot the x-intercepts: To find the x-intercepts, set f(x) = 0 and solve for x. In this case, cos^2(x) = (0 + 3x - 4)/2. Find the values of x where this equation holds true.
3. Identify local maxima and minima: Use calculus or other methods to find the local maximum and minimum points of the function within the given range.
4. Sketch the graph: Once you have the key points, plot them on a graph and connect them smoothly. Pay attention to the shape and behavior of the function.
Since the process of sketching a graph is best done visually, I'm unable to provide an image here. However, by following the steps outlined above, you can plot the graph of f(x) within the range of x between 0 and 2. Remember to label the axes and indicate any important points you have found.
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Simplify. 815÷8−3 it would be something like this for example 43^54
The value of 815÷8−3 is 791/3
Given,
815÷8−3
We need to simplify the given equation using the PEMDAS rule.
What is PEMDAS rule?It is the order to solve an equation.
P. -parenthesis
E - exponents
M -multiplication
D - division
A -addition
S - subtraction
Example:
( 1 + 2 ) ÷ 6 x 2 - 1
Remove the parenthesis first.
= 24 ÷ 6 x 2 - 1
Multiplication.
= 24 ÷ 12 - 1
Divide
= 2 - 1
= 1
Simplify 815÷8−3.
Applying PEMDAS rule
We see that we have division and subtraction.
Division first
= 815 ÷ 8 - 3
= 815/8 - 3
Find lcm
= (815 - 3x8) / 8
= (815 - 24) /8
= 791 / 3
Thus the value of 815÷8−3 is 791/3
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Can someone do these 4 questions For 40 points
The gradient of the blue line as shown in the graph is 0.25
What is gradient?The gradient of any line or curve tells us the rate of change of one variable with respect to another.
To calculate the gradient of the blue line, we use the formula below.
Formula:
S = Δy/Δx = (y₂-y₁)/(x₂-x₁)................. Equation 1Where:
S = Gradient of the blue lineΔy = Change in y-axisΔx = Change in x-axisFrom the graph,
Given:
x₁ = 0y₁ = 1x₂ = 8y₂ = 3Substitute these values into equation 1
S = (3-1)/(8-0)S = 2/8S = 1/4S = 0.25Hence, the gradient of the blue line is 0.25.
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What's -5√3(2+√5)?
h e l p .
Answer:
= -10√3 - √3 . 5^3/2
Step-by-step explanation:
Apply the distributive law: a(b + c) = ab + ac
a = -5 √3, b = 2, c = √5
-5 √3 . 2 + -(5√3) √5
Apply minus-plus rules: + (-a) = -a
= -5 . 2√3 - 5 √3 √5
Simplify
= -10√3 - √3 . 5^3/2