Answer:
21. Which type of waste has the lowest recovery ratio?
Social Studies
The table shows the approximate populations of three countries.
Country Population
China: 1.3 × 10^9
France:6.48 × 10^7
Australia: 2.15 x 10^7
22. How many more people live in France than in Australia
23. The area of Australia is 2.95 x 106 square miles. What is the approximate average number of people per square mile in Australia?
Step-by-step explanation:
Using subtraction and division operations, people live more in France than in Australia and approximately 7.29 people live per square mile of an area in Australia.
Number of people who live in France than in Australia :
Population in France - Population in Australia
The number of people per square mile in Australia can be calculated thus :
Number of people per square mile = Population ÷ Land Area
Therefore, the Number of people who live per square mile in Australia is 7.29 people
hope this helps and have a great day
In circle D, ∠EDH ≅ ∠EDG.
Circle D is shown. Line segment F H is a diameter. Line segments D E and D G are radii. Lines are drawn from point E to point G and from point E to point H to form secants. The length of E J is 4 and the length of E H is 9. The measure of arc F E is 57 degrees and the measure of arc F G is 66 degrees.
What is the length of JG?
4 units
5 units
6 units
9 units
Answer:
5 units
Step-by-step explanation:
The computation of the Length of DG is as follows;
Given that
∠EDH ≅ ∠EDG,
EH = 9,
EJ = 4.
Based on the above information, as we can see that the two sides i.e. corresponding are congruent
EH = EG (CPCTC)
EG = 9.........(i)
Now
EG = EJ + JG
EG = 4 + JG ........(ii)
Now after solving this
JG = 5 units
Hence, the second option is correct
Answer:
5
Step-by-step explanation:
i got it right
HELP!!! THIS IS IMPORTANT
, aflred runs 2 1/2 miles in 3/4 of an hour.
Which unit rates are true for this situation?
3/10 miles per hour
3/10 to run a mile
3 1/3 miles per hour
3 1/3 hours to run a mile
What is the slope-intercept form of the line represented in the table shown?
X Y
-2 14
-1 12
0 10
1 8
2 6
3 4
Step 1: Find the y-intercept:
Step 2: Choose any two points from the table to find the slope:
Step 3: Use the newly-found slope to write the slope-intercept equation. The form
for that is y = mx + b.
Step 4: Check your work. Choose an ordered pair from the table and substitute
into the newly-found equation
Answer: The slope-intercept form is y = -2x + 10
Step-by-step explanation:
Step 1: The y-intercept is the point where x=0, so that is (0,10)
Step 2: Use the points (-2,14) and (-1,12) to find the slope
Slope (m) = ΔY/ΔX = -2/1 = -2
Step 3: The slope-intercept form is:
y = mx+b
y = (step 2 value) x + (step 1 value)
y = -2x+10
Please remember to vote this as Brainliest if I earned it!
Solve for x.
y= x/c +b
Enter your answer in the box.
Answer:
= 1/c
Step-by-step explanation:
Apply the sum/Different Rule: ( f + g ) ' = f ' + g'
= d/dx (x/c) + d/dx (b)
d/dx (x/c) = 1/c
d / dx (B) = 0
= 1/c + 0
Simplify = 1/c
You have a set of consecutive integers from (−5) to 5, inclusive. You multiply any three of the integers. What is the least positive integer you can get as the product?
The least positive integer we can get as the product is 2.
What is the least positive integer you can get?Here we have the following set of numbers:
{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}
And we want to take the product between 3 of them and find the least positive integer that we can get as the product.
So it makes sence to choose the smallest absolute value numbers (not zero) such that one is positive and two are negative (we want two negative ones so the signs cancell eachother)
Then we will get:
1*(-1)*(-2) = 2
That is the least positive integer we can get as the product.
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3. Find \( y^{\prime} \) for the following implicit function \( y^{2}-x^{2} y=-2 \)
The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).
To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:
Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:
\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)
Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:
\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)
Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.
So, the differentiation of the entire equation is:
\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)
Now, let's rearrange the terms:
\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)
Simplifying further:
\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)
Factoring out:
\(\[(\frac{dy}{dx})(y - x) = 0 \]\)
Finally, solving:
\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)
Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.
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suppose you have 6 pairs of sock in your sock drawer and every pair has a unique color. it is still dark out in the morning when you get dressed, so you just pull socks out of the drawer at random, one at a time, until you have removed two matching socks. what is the probability that you pull out exactly 5 socks from your sock drawer in the morning before you get a matching pair of socks?
The probability there is at least one pair is therefore 1−p.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
It is little known, but socks have individual identities. There are (166) equally likely ways to choose 6 socks from the 16.Now we find the number of ways to choose 6 socks, so that there is no pair among them. There are (86) ways to choose the "types" of sock we will have. For each choice of 6 types, there are 26 ways to choose the actual socks. For at each chosen "type" of sock, we have 2 choices as to which of the two socks of that type to take.hence,The probability there is at least one pair is therefore 1−p.
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I can enter the problem here so ill add a picture, sorry for the inconvenience
Given two numbers a and b
Their Arithmetic mean (A), Geometric mean (G) and Harmonic mean (H) are given below,
\(\begin{gathered} A=\frac{a+b}{2} \\ G=\sqrt[]{ab} \\ G=\sqrt[]{AH} \end{gathered}\)To find the formula that correctly relates H, a and b,
Relating the last two equations, i.e the geometric and harmonic mean below,
\(\begin{gathered} G=\sqrt[]{ab} \\ G=\sqrt[]{AH} \\ \text{relating both equations} \\ \sqrt[]{ab}=\sqrt[]{AH} \\ \text{Square both sides } \\ (\sqrt[]{AH})^2=(\sqrt[]{ab})^2 \\ AH=ab \\ \text{Make H the subject},\text{ by dividing both sides by A} \\ \frac{AH}{A}=\frac{ab}{A} \\ H=\frac{ab}{A} \end{gathered}\)Substituting for A into the above expression,
\(\begin{gathered} \text{recall A=}\frac{a+b}{2} \\ H=\frac{ab}{A}=\frac{ab}{\frac{a+b}{2}} \\ H=(2\times\frac{ab}{a+b})=\frac{2ab}{a+b} \\ H=\frac{2ab}{a+b} \end{gathered}\)Hence, A is the correct option.
Solve this system of equations by graphing. First graph the equations, and then type the solution.y=x+4x=–5
We have the two equations
\(\begin{gathered} y=x+4 \\ x=-5 \end{gathered}\)To solve the systems of equation by graphing, we will plot the two lines on the same graph and then find the point of intersection
The solution is the graph below
From the graph given, the point of intersection is the solution, and it is found to be
\(\begin{gathered} (-5,-1) \\ x=-5 \\ y=-1 \end{gathered}\)Which is a correct first step for solving this equation?
−3x+2−5x−7=4x+2
Answer: x = - 7/12
Step-by-step explanation:
-3x + 2 - 5x - 7 = 4x + 2
=> -8x - 5 = 4x + 2
=> -12x = 7
=> x = - 7/12
Provide a definition and numeric example of the following Keywords:
1. Function
2.Combined Function
3.Quadratic Function
Function: A mathematical relationship that assigns each input value to a unique output value.
Combined Function: A function formed by applying one function to the output of another function.
Quadratic Function: A function with a polynomial equation of degree 2, represented as f(x) = ax² + bx + c, where a, b, and c are constants.
We have,
Function:
A function is a mathematical relationship or rule that assigns each input value (or element) from a set, called the domain, to a unique output value (or element) from another set, called the range.
Example:
Let's consider a function f(x) = 2x + 3.
This function takes an input value (x), multiplies it by 2, and then adds 3 to get the output value.
For example, if we input x = 4 into the function, we get f(4) = 2(4) + 3 = 11. So, the function maps the input value 4 to the output value 11.
Combined Function:
A combined function is formed by performing multiple operations on a given input value. It involves applying one function to the output of another function.
This allows us to express complex relationships between variables by combining simpler functions.
Example:
Let's consider two functions: f(x) = 2x and g(x) = x².
The combined function h(x) is formed by applying g(x) to the output of f(x). In other words, h(x) = g(f(x)).
If we input x = 3 into the combined function, we first evaluate f(x) = 2(3) = 6, and then evaluate g(6) = 6² = 36. So, h(3) = 36.
Quadratic Function:
A quadratic function is a type of function that can be represented by a polynomial equation of degree 2.
It has the general form f(x) = ax² + bx + c, where a, b, and c are constants.
The graph of a quadratic function is a parabola, which can open upwards or downwards depending on the value of the coefficient "a".
Example:
Let's consider the quadratic function f(x) = 2x² - 3x + 1.
This function has a coefficient of 2 for the x^2 term, -3 for the x term, and 1 for the constant term.
If we input x = 2 into the function,
We get f(2) = 2(2)² - 3(2) + 1 = 8 - 6 + 1 = 3.
So, the function maps the input value 2 to the output value 3.
The graph of this quadratic function is a parabola that opens upwards.
Thus,
Function: A mathematical relationship that assigns each input value to a unique output value.
Combined Function: A function formed by applying one function to the output of another function.
Quadratic Function: A function with a polynomial equation of degree 2, represented as f(x) = ax² + bx + c, where a, b, and c are constants.
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How do you find the eigenvectors and eigen values of a 3x3 matrix?
A 3x3 matrix's must first be calculated in order to determine the eigenvectors and eigenvalues of the matrix, using the quadratic formula, get the eigenvalues, determine the associated eigenvectors.
A 3x3 matrix's determinant must first be calculated in order to determine the eigenvectors and eigenvalues of the matrix. This may be accomplished by applying the expansion on eigenvalues may then be determined by using the quadratic formula to the eigenvalue equation. , the newly obtained eigenvalues may be used to solve the system of equations derived from the eigenvalue equation in order to get the associated eigenvectors. After the eigenvectors have been identified, they may be to the matrix's eigenvalues. You may eigenvalues and eigenvectors. To the matrix's structure and identify its distinctive equation, eigenvectors and eigenvalues. The solutions to a system of equations as well as the stability of the system may be found using eigenvectors and eigenvalues.
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1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?
Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?
Step-by-step explanation:
Paige goes shopping and buys leggings for $24.95, a crewneck for $30.50, and a new purse (p). She says the expression 5.55+p can be used to find her total. Explain what she did wrong when writing her expression and write a new expression that correctly describes her total.
Answer:
\(55.45+p\)
The decimal point is one step behind and rounded the number.
Step-by-step explanation:
Cost of leggings = $24.95
Cost of crewneck = $30.50
Cost of new purse = p
The correct expression to find the total cost of her shopping is
\(24.95+30.5+p\)
\(=55.45+p\)
What Paige did was she put the decimal point one step behind and rounded the number.
\(2.495+3.05+p\)
\(=5.545+p\)
\(=5.55+p\)
So, she got the wrong expression.
Pick all 4 of the right answers for 100 points and brainliest
The the rectangular prisms have their volumes as:
1). 175 cubic feet
2). 60 cubic metres
3). 140 cubic metres
4). 216 square inches.
How to evaluate for the volume of the rectangular prismvolume for a rectangular prism is calculated using:
length × width × height
the rectangular prisms can be divided into bigger and smaller prism and their volumes calculated separately and then added to get the total volume as follows:
1). volume of bigger rectangular prism = 7ft × 7ft × 3ft = 147ft³
volume of smaller rectangular prism = 7ft × 2ft × 2ft = 28ft³
volume of object = 147ft³ + 28ft³ = 175ft³
2). volume of bigger rectangular prism = 6m × 3m × 3m = 54m³
volume of smaller rectangular prism = 3m × 3m × 1m = 6m³
3). volume of bigger rectangular prism = 7m × 6m × 3m = 126m³
volume of smaller rectangular prism = 7m × 2m × 1m = 14m³
volume of object = 126m³ + 14m³ = 140m³
4). volume of bigger rectangular prism = 12in × 4in × 4in = 192in²
volume of smaller rectangular prism = 4in × 3in × 2in = 24in³
volume of object = 192in³ + 24in³ = 216³
Therefore, the rectangular prisms have their volumes as:
1). 175 cubic feet
2). 60 cubic metres
3). 140 cubic metres
4). 216 square inches
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Question need help with 1:
The measure of angle DFE is determined as 101.3⁰ .
What is the value of angle DFE?The measure of angle DFE is calculated by applying the following theorem as follows;
The value of angle DFE is calculated as;
¹/₂ (360 - (x + 55) = x - 1 (angle at center is twice angle at circumference)
360 - x - 55 = 2(x - 1)
360 - x - 55 = 2x - 2
360 - 55 + 2 = 2x + x
307 = 3x
x = 102.3
The measure of angle DFE is calculated as;
angle DFE = 102.3 - 1
angle DFE = 101.3⁰
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Elizabeth is a high school basketball player. In a particular game, she made some free
throws (worth one point each) and some two point shots. Elizabeth scored a total of
16 points and made twice as many free throws as two point shots. Graphically solve a
system of equations in order to determine the number of free throws made, x, and
the number of two point shots made,y. lol
Answer:
Elizabeth made 8 free throws and 4 two-point shots.
Explaination:
Variable Definitions:
x= the number of free throws made
y= the number of two point shots made
Each free throw scores 1 point, so x free throws would score 1x points. Each two point shot scores 2 points, so yy two point shots would score 2y points. Therefore, the total number of points scored 1x+2y equals 16:
1x+2y=16
Since Elizabeth scored twice as many free throws as two point shots, she made more free throws, so if we multiply 2 by the number of two point shots made, we will get the number of free throws made, meaning x equals 2y.
x=2y
Write System of Equations:
1x+2y= 16
x= 2y
Solve for y in each equation:
1x+2y=16 x=2y
2y=-1x+16 2y=x
2y/2=-1x+16/2 y=1/2x
y=-1/2x-8
The x variable represents the number of free throws made and the y variable represents the number of two point shots made. Since the lines intersect at the point (8,4) we can say:
Elizabeth made 8 free throws and 4 two-point shots.
if antonella has 3 more quarters than nickels and they have a combined value of 225 cents, how many of each coin does she have?
Antonella have a number of coins of quaters and nickels whose total value is 250.
The number of coins of nickel is 10 and the number of coins of quarters is 7.
Nickel and quarters are the coin based form of currency in the United States. The value of one nickel is 5 cents, while that of one quarter is 25 cents. We have given that
Antonella has 3 more quaters than nickles.
Let she has "x" number of quaters and "y" be number of nickels .
According to question,
y = 3+ x ---(1)
Combined value of all is 225 cents .
i.e 25 × x + y× 5 = 225 cents
plug the value of y from equation (1) to equation(2) we get,
25 x + 5(3+x) = 225
solve the equation
=> 25x + 15 + 5x = 225
=> 30x = 210
=> x = 7
put the value of x in equation (1)
y = x + 3 = 10
Hence, the number of nickels coins is 10 and numbers of quaters are 7.
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What does 0 12 mean regarding the solution to the system?
If the solution to a system of equations is 0 = -12 when using the linear combination method, it means that there are no solutions to the system.
If the solution to a system of equations is 0 = -12 when using the linear combination method, it means that there are no solutions to the system. This can occur if the equations represent parallel lines, which do not intersect at any point. When the equations represent parallel lines, the solution to the system is considered to be "inconsistent" because there is no set of values for the variables that will make both equations true at the same time.
Alternatively, if the equations represent the same line, then there will be infinitely many solutions to the system. In this case, any set of values for the variables that make one equation true will also make the other equation true. The solution to the system is considered to be "dependent" because the equations are not independent of each other.
Therefore, in the case of 0 = -12, the solution to the system is "inconsistent" because the equations represent parallel lines. There are no solutions to the system because the lines do not intersect at any point.
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Given: 9x>-36.
Choose the solution set.
O [xlx>-4)
O'{x1x<-4}
O [xlx>4)
O [xlx<4)
Kate places greeting cards from two different companies on a display rack that can hold up to 90 cards. She
has agreed to display at least 40 of company a's cards on the rack and at least 25 of company b's cards.
kate makes a profit of $0. 30 on each card she sells from company a and $0. 32 on each card she sells from
company b.
To get the maximum profit, Kate should display as many cards from company B as possible, since she makes a higher profit from those cards.
Let x be the number of cards from company A and y be the number of cards from company B.
The constraints are:
x + y ≤ 90 (the display rack can hold up to 90 cards) x ≥ 40 (at least 40 of company A's cards must be displayed) y ≥ 25 (at least 25 of company B's cards must be displayed)The objective function is:
P = 0.30x + 0.32y (the profit from selling the cards)
To maximize the profit, we need to maximize the value of y. Since the display rack can hold up to 90 cards, we can set y = 90 - x.
Substituting this into the objective function:
P = 0.30x + 0.32(90 - x)
P = 0.30x + 28.8 - 0.32x
P = -0.02x + 28.8
To maximize P, we need to minimize x. Since x must be at least 40, we can set x = 40.
Substituting this back into the objective function:
P = -0.02(40) + 28.8
P = 28
So the maximum profit Kate can make is $28, by displaying 40 cards from company A and 50 cards from company B.
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Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Scale factor =.
The scale factor is the ratio of the second triangle length to the first triangle length. Then the scale factor is 8.
What is dilation?Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.
Two triangles have corresponding side lengths of 8 centimeters and 64 centimeters.
Then the scale factor will be
\(\rm Scale \ factor = \dfrac{Side \ of \ second \ triangle }{Side \ of \ first \ triangle } \\\\\\Scale \ factor = \dfrac{64}{8}\\\\\\Scale \ factor = 8\)
The scale factor is 8.
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Answer:
The answer is 8:)
Step-by-step explanation:
five over seven plus blank over six equals fifty one over forty two
Answer:
The blank is 3
Step-by-step explanation:
1 - Give the blank a variable
x = our blank
2 - Write it out
\(\frac{5}{7} + \frac{x}{6} = \frac{51}{42}\)
3 - Get the denominators equal
\(\frac{5}{7}(\frac{6}{6}) +\frac{x}{6}(\frac{7}{7}) = \frac{51}{42} \\\frac{30}{42}+\frac{7x}{42} = \frac{51}{42}\)
4 - Simplify
\(\frac{30+7x}{42} = \frac{51}{42} \\ \frac{30+7x}{42} = \frac{51}{42}\)
5 - Solve for the numerators
30+7x = 51
-30 -30
7x = 21
x = 3
Answer: it’s 3
Step-by-step explanation: Sorry if im wrong lol
From: me?
Simplify
1-(cos^2)theta/(sin^2 )theta
A. 1
B. sin^2 theta
C. cos^2 theta
D. tan^2 theta
1000000000000000000000000000
Answer:
1. List (in order) the five phases a single 2 solar mass will go through in its life.
2. List (in order) the five phases a single 25 solar mass will go through in its life.
3. List (in order) the five phases a single 60 solar mass will go through in its life.
Phase options (can be used more than once, some may not be used at all):
Type II Supernova
Protostar
White Dwarf
Giant Phase
Main sequence
Neutron Star
Brown Dwarf
Black Hole
Type 1a Supernova
Planetary Nebula
Step-by-step explanation:
Lindsey is working really hard to improve her grade. on her first quiz she scored 67 point, on her second she scored 71, and on her third she scored 75. her scores continue to increase at the same rate. write a recursive and explicit formula for this geometric sequence.
The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)
To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.
From the given information, we can observe that Lindsey's scores are increasing at the same rate.
This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.
Let's denote the first term as a₁ = 67 and the common ratio as r.
Recursive Formula:
In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:
aₙ = aₙ₋₁ \(\times\) r
For Lindsey's scores, the recursive formula would be:
aₙ = aₙ₋₁ \(\times\) r
Explicit Formula:
The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.
The explicit formula for a geometric sequence is:
aₙ = a₁ \(\times r^{(n-1)\)
For Lindsey's scores, the explicit formula would be:
aₙ \(= 67 \times r^{(n-1)\)
In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.
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Plz help me complete this table
Question 15
A pool holds 10,000 gallons of water. It loses 5 gallons a day due to evaporation. Which of the following equations
represents this situation?
Oy - 10,000 + 5x
O y = 5x - 10,000
O y = 10,000x-5
O y = -5x + 10,000
Answer:
10,000 X -5
hope it helps :)
Ashley is at the top of a mountain that is 2,400 feet. She hikes down to the bottom of the mountain in 8 hours. If she hiked at the same rate the whole time how many
feet did she hike down the first hour?
Answer:
300 ft in one hour.
Step-by-step explanation: