O r = 4s equation below represents this relationship.
What is equation?An equation is an expression that states the equality of two things. It is used in mathematics to express the relationship between variables and numbers. Equations are used to solve problems in a variety of fields, including physics, engineering, chemistry, and economics. An equation typically consists of an equal sign, two expressions, and one or more mathematical operations. For example, the equation x + 5 = 8 tells us that if we add 5 to x, the result will be 8. Equations are often written using symbols, such as x, y, and z, which represent unknown values.
This equation represents the relationship between raspberries, r, and strawberries, s, on a farm, where the ratio is 2248:562. The equation states that for every 4 strawberries, there are 2248 raspberries
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write the equation of the line perpendicular to y=1/5x -11 passing through the point (0, -8)
The equation of the perpendicular line is y = -5x - 8
How to determine the perpendicular line equation?From the question, we have the following parameters that can be used in our computation:
y = 1/5x - 11
Also, from the question;
We have the following points
Point = (0, 8) i.e. (x, y) = (0, 8)
The equation of a line can be represented as
y = mx + c
Where
Slope = m
By comparing the equations, we have the following
m = 1/5
This means that the slope is 1/5
The slopes of perpendicular lines are opposite reciprocals
This means that the slope of the other line is -5
The equation of the line is then calculated as
y = m(x - x₁) +y₁
Where
m = -5
(x₁, y₁) = (0, -8)
So, we have
y = -5(x - 0) - 8
Evaluate
y = -5x - 8
Hence, the line has an equation of y = -5x - 8
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Fabian says that 25% of a number will always be greater than 10% of any other number.
Complete one inequality to support Fabian's claim and one to show that he is incorrect.
An example to support Fabian statement is that 25% of 100 is more than 10% of 100.
An example to negate Fabian statement is that 25% of -100 is less than 10% of -100.
How to calculate the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100
An example to support Fabian statement is that 25% of 100 is more than 10% of 100. In this case, 25 it more than 10.
An example to negate Fabian statement is that 25% of -100 is less than 10% of -100. In this case, -25 is less than -10.
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Pleasede please please help me
Answer:
3rd one is the answer
Step-by-step explanation:
x=7*2/5
Kyle lan part of a 42 km marathon at an
average speed of 12 km/hr and walked the
rest at an average speed of 5 km Ihr. He
wasn't feeling great, so he spent Ihr
more time walking than running. How
long did it take him to finish the
marathon
Answer:
5 6/17 hours or approximately 5 hours and 21 minutes-------------------------------
Let the time Kyle ran be x, then he walked for (x + 1) hours.
He ran 12x km and walked 5(x + 1) km thus in total 42 km.
Set up and equation and solve for x:
12x + 5(x + 1) = 4212x + 5x + 5 = 4217x + 5 = 4217x = 37x = 37/17Total time was:
37/17 + 37/17 + 1 = 74/17 + 1 = 4 6/17 + 1 = 5 6/17 hrsLooking to find the measure of C.
a = 2x+6
b = x + 24
Check the picture below.
The height of the right circular cylinder shown below is 10 feet and its base has a radius of 4 feet.
The surface area of cylinder whose height is 10 feet and its base of radius is 4 feet is 112π [tex]ft^{2}[/tex]
What is volume of cylinder ?
volume of cylinder is product of pi and square of radius and height of the cylinder.
Given,
height of cylinder = 10 feet
base of radius of cylinder = 4 feet.
Surface area of cylinder is
A=2πrh+2πr2
A = π (2rh+2r2)
A = π (2*4*10 + 2* 4*4)
A =π(80+32)
A = 112 π [tex]ft^{2}[/tex] .
Hence, the surface area of cylinder whose height is 10 feet and its base of radius is 4 feet is 112π [tex]ft^{2}[/tex].
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The graph shows the taxi fare. y, in is city, for a distance of x kilometers
Which statement is true?
A. The total tare changes by $4 per kilometer, and it will cast $24 for a distance of 6 kilometers.
B. The total fare changes by $4 per kilometer, and it will cost $28 for a distance of 6 kilometers.
C. The total fare changes by $3 per kilometer, and it will cost $22 for a distance of 5 kilometers:
D. The total tare changes by $3 per kilometer, and it will cost $18 for a distance of 6 kilometer.
The true statement is,
⇒ The total fare changes by $3 per kilometer, and it will cost $22 for a distance of 6 kilometers.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The graph shows the taxi fare. y, in is city, for a distance of x kilometers.
Now,
Since, The graph shows the taxi fare. y, in is city, for a distance of x kilometers.
Let two points on the graph are (2, 10) and (4, 16).
Hence, The slope of the line = (16 - 10) / (4 - 2)
= 6/2
= 3
Thus, The equation of line for the graph is,
⇒ y - 10 = 3 (x - 2)
⇒ y - 10 = 3x - 6
⇒ y = 3x - 6 + 10
⇒ y = 3x + 4
For 6 kilometer, the cost is find as;
Substitute x = 6;
⇒ y = 3x + 4
⇒ y = 3 × 6 + 4
⇒ y = 22
Therefore, The total fare changes by $3 per kilometer, and it will cost $22 for a distance of 6 kilometers.
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What is the least
common denominator
Answer:
9
Step-by-step explanation:
9 is the smallest number that 3 and 9 can both go into.
Solving compound inequalities:
14 > ˣ⁺³⁵⁄₃ and ˣ⁻⁴⁶⁄₁₁ ≤-5
Answer:
Inequality Form:
x≤ −9/11
Interval Notation:
(−∞,−9/11]
Find the fifth term. Please help!
:)
By evaluating the given formula, we will see that the fifth term of the sequence is 32.
How to find the fifth term of the sequence?Here we have a sequence defined by the formula below:
aₙ = 2ⁿ
So that formula gives the n-th term of the sequence. To find the fifth term, we just need to replace the value of n by the value 5 in the formula above.
We will get.
a₅ = 2⁵
a₅ = 32
The fifth term of the sequence is 32.
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2x+3y=-60
2x+3y=120
please answer the question that’s on the image i will mark you brainliest.
Answer:
C) There is no solution
Step-by-step explanation:
2x + 3y = -60
2x + 3y = 120
There is no number that I can substitute for 2x and 3y and get two different answers (60 and 120)
2x + 3y = -60
2x + 3y = 120 ⇒ multiply all the way through by -1 ⇒ -2x -3y = -120
Now add the two equations together
2x + 3y = -60
-2x -3y = -120
0 = -180 This is a false statement so there is no solution.
i need help with #6 please!!
-11 because
(gof)(x) = 18x2 - 123x + 193. Substitute x = 4. (gof)(4) = 18(4)2 - 123(4) + 193. (gof)(4) = -11. Solution: The solution is (gof)(4) = -11.
Solve the equation, 3x – 6 = 12, for x. Which of the following properties did you apply? Question 17 options: A) Addition property of equality and division property of equality B) Distributive property, addition property of equality, and division property of equality C) Addition property of equality and multiplication property of equality D) Distributive property, subtraction property of equality, and multiplication property of equality
The properties that are applied is A) Addition property of equality and division property of equality
How to calculate the equation?Given equation 3 x -6 =12
Apply addition property of equality
Adding '6' on both sides , we get
3 x - 6 + 6 = 12 +6
3 x = 18
Apply Division property of equality
Dividing '3' on both sides , we get
Applying division
3x / 3 = 18/3
on simplification , we get
x = 6
The solution of the given equation is x =6
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Select the correct answer. Steve is trying to determine the proper rectangular pan to use for his banana bread recipe. He has four different pans that he can use, each with the same length and width but all with different heights. Which of the following formulas will show how Steve can determine the height of a rectangular pan? height=lengthxwidthxvolume
The formula that Steve can use to determine the height of the rectangular prism is given as follows:
Height = Volume/(length x width).
How to determine the height of the rectangular prism?The formula for the volume of a rectangular prism is dependent on the height, thus it is used to solve for the height.
The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:
Volume = length x width x height.
To obtain the height, we must solve the above formula for the height, isolating the height, with the length and the width dividing on the other side, as they are inverse operations to the multiplication, as follows:
Height = Volume/(length x width).
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State whether the table represents a linear or exponential function. Be sure to explain
your reasoning.
X
0
1
2
3
4
5
Y
2
5
8
11
14
17
The function type of the table is linear function
How to determine the function type of the tableFrom the question, we have the following parameters that can be used in our computation:
X 0 1 2 3 4 5
Y 2 5 8 11 14 17
From the above table, we can see that:
As the value of x increases by 1The values of y constantly increase by 3The constant increment means that the function type is a linear function
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Consider the system of equations.
x + y = 5
2x - y = -2
23. Solve the system of equations by graphing.
24. Solve the system of equations using the
substitution method.
25. Which method do you prefer in this instance?
Explain.
Answer:
23. (1, 4)
24. (1, 4)
25. graphing calculator
Step-by-step explanation:
You want to solve this system of equations by graphing and by substitution.
x + y = 52x -y = -223. GraphingThe graph of the system of equations is attached. The solution is ...
(x, y) = (1, 4)
24. SubstitutionUsing the second equation, we can write an expression for y:
y = 2x +2
Substituting that into the first equation gives ...
x + (2x +2) = 5
3x = 3 . . . . . . . . subtract 2
x = 1
Then ...
y = 2(1) +2 = 4
The solution is (x, y) = (1, 4).
25. PreferenceWe like the graphing calculator solution, as it gives the answer as quickly as we can type the equations.
If we were constrained to drawing the graph by hand, we would prefer the substitution solution.
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at a sale at an electronics store a plasma television originally priced at 500 is marked 15 off what is its selling price?
The plasma television is selling for $425 after the 15% discount.
What is the Selling price and cost price?
The selling price of a product is the price at which it is sold to the customer. It is the price that the customer pays for the product, and it includes any taxes or additional charges.
The cost price, also known as the wholesale price or the wholesale cost, is the price at which the manufacturer or supplier sells the product to the retailer or the distributor. It is the price that the retailer or distributor pays to acquire the product, and it does not include any taxes or additional charges.
If an item is marked 15% off, that means that you will pay 85% of the original price. To calculate the selling price of the plasma television, you can use the following formula:
Selling price = Original price x (100 - discount%) / 100
In this case, the original price of the television is $500 and the discount is 15%, so the selling price is:
Selling price = $500 x (100 - 15) / 100 = $500 x 0.85 = $425
Hence, the plasma television is selling for $425 after the 15% discount.
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Click on the measure of angle x.
125°
55°
55°
45°
35°
Done →
Answer:
x = 35
Step-by-step explanation:
90 - 55 = 35
what is the value of 3 3/8 minus 2 6/8
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
3 [tex]\frac{3}{8}[/tex] - 2[tex]\frac{6}{8}[/tex]
I can rewrite3 [tex]\frac{3}{8}[/tex]
2 [tex]\frac{8}{8}[/tex] + [tex]\frac{3}{8}[/tex] ([tex]\frac{8}{8}[/tex] means the same as 1)
2[tex]\frac{11}{8}[/tex] - 2 [tex]\frac{6}{8}[/tex] = [tex]\frac{5}{8}[/tex]
What is the amplitude and the period of the function y=2 sin x?
Answer:
The amplitude of the function y=2*sin(x) is 2. The amplitude is the maximum value of the function, and in this case, the maximum value of y is 2.
The period of the function y=2*sin(x) is 2π. The period is the distance in the x-axis between two points at which the function has the same value. And in this case, the function reaches the maximum value of 2 at x = π/2, and the next time it reaches the same value is x = 3π/2, which is a distance of 2π in the x-axis.
pls help it’s my last question
Answer:
C is your answer
correct if I'm wrong
Step-by-step explanation:
Equation of the horizontal line is given by y = k, where k is any value on the y-axis.
A system of equations is shown.
{ x= = 10
3x + 5y = 20
What is the solution (x, y) of the system of equations?
Step-by-step explanation:
when x=10
3x+5y=20
3×10+5y=20
30+5y=20
5y=20-30
5y=-10
y=-10/5
y=-2
create an area model to represent 14x17 find the product
238
14x17, the answer is 238 for your question plus it's an easy one you could've just multiplied and got your answer even from a calculator..
pls helpppppp (correct answers only and explainiton)
your slope is right on the money, now the y-intercept is where the y-axis gets intercepted or namely gets crossed, Check the picture below.
Please help!!!! Picture is attached.
After simplifying the following expression the power of a , c ,d e could be 20,2 , 2 , 6 .
What is expression ?
expression can be defined as with the minimum of two variables or numbers and at least one math operation.
Given expression,
([tex]a^{10}[/tex] [tex]b^{0}[/tex]cd[tex]e^{3}[/tex] ) power -2
so, we know that (a) power -1 could be 1/a .
similarly,
([tex]a^{10}[/tex] [tex]b^{0}[/tex]cd[tex]e^{3}[/tex] ) power -2 = 1 / [tex]a^{20}[/tex] [tex]c^{2}[/tex][tex]d^{2}[/tex][tex]e^{6}[/tex]
Hence the values after simplifying the following expression, the power of a , c ,d e could be 20,2 , 2 , 6 .
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Metropolis requires that for every 5 plots or land used for buildings. 2 plots of land must be left for green space.
A company bought 70 plots of land. How many plots can it use for buildings?
A company can use 50 plots of lands for buildings.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Metropolis requires that for every 5 plots or land used for buildings.
2 plots of land must be left for green space.
A company bought 70 plots of land.
To find the number of green plots:
First, we find the number of green plots.
Applying division operation,
70 ÷ (5 + 2)
= 70 ÷ 7
= 10
Now, the number of green plots,
10 x 2 = 20 green plots.
Subtracting the number of green plots to total number of plots,
70 - 20
= 50 plots.
Therefore, 50 plots can be used for buildings.
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Challenge In a company, 75% of the workers are women. If 850 people work for the company who aren't women, how many workers are there in all?
The total number of workers in that company is 3,400 workers.
How to calculate the number of workers?To calculate the total number of workers in this company we must take into account what is the percentage of workers and the number of workers that we know:
25% = 850 workers (not women).
In accordance with the above information, we can state that we know a quarter of all the workers, that is, if a quarter of the workers equals 850 workers, 100% of the workers equals 850 * 4 as shown then:
850 * 4 = 3,400
So, the total number of workers would be 3,400, of which 850 are men and 2,550 are women.
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A city has a population of 370,000 people. Suppose that each year the population grows by 6.25%. What will the population be after 8 years?
Use the calculator provided and round your answer to the nearest whole number.
people
Answer:
600943 people-----------------------------
Current population is 370000 people.
Growth rate is 6.25%.
The population after 8 years will be:
370000*(1 + 6.25/100)⁸ = 370000*1.0625⁸ = 600943 (rounded)what statement describes 6(x + 8
Answer:
6x+48
Step-by-step explanation:
u multiply what is in the bracket by 6
[tex]\huge\text{Hey there!}[/tex]
[tex]\text{In order to solve for this particular equation, you have to DISTRIBUTE 6}\\\text{within the PARENTHESES}}[/tex]
[tex]\text{REMEMBER: if you have a variable by itself, it is understood to be an invisible 1}[/tex]
[tex]\text{Anywho! Let us answer your given question}[/tex]
[tex]\mathsf{6(x + 8)}[/tex]
[tex]\mathsf{= 6(x) + 6(8)}[/tex]
[tex]\mathsf{= 6x + 48}[/tex]
[tex]\huge\text{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\mathsf{6x + 48}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
please help.. I’ll give brainliest!
Answer:
I have provided the answers on the original image you provided.
Step-by-step explanation:
For f(x) = -2x² + 8x + 1
To find the y-intercept, set x = 0 and determine the value for f(x). This will work out to +1 so the y-intercept is (0, 1)
To find the vertex y-value. Note that we are given the x value as 2. Substitute 2 for x in the function expression. This will give you a value of 9. So the vertex is (2, 9)
The coefficient of x² is negative so it will be a maximum vertex and therefore opens downward
For g(x) = 3x² + 6x -4
To find the x value of the vertex, differentiate with respect to x and set this first derivative equal to zero
First derivate of g(x), g'(x) = 6x + 6
Set 6x + 6 =0 to get x = -1
The axis of symmetry is nothing but the x value of the vertex and therefore x = -1
The coefficient of x² is positive. So the vertex will be a minimum and it will be an upward opening parabola
I hope that helps