An explicit formula for aₙ, the nth term of the arithmetic sequence is aₙ = 3 + 5(n - 1)..
How to write an explicit formula for the arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:
aₙ = a₁ + (n - 1)d
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.From the information provided, we have the following parameters:
First term, a₁ = 3
Second term, a₂ = 8
Next, we would determine the common difference as follows:
Common difference, d = a₂ - a₁
Common difference, d = 8 - 3
Common difference, d = 5
Substituting the parameters into the mathematical expression, we have;
aₙ = 3 + (n - 1)(5)
aₙ = 3 + 5(n - 1).
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Consider the matrices.
L=[21−32], M=⎡⎣⎢⎢⎢⎢−1−22−17−6−310⎤⎦⎥⎥⎥⎥, N=[1234], P=[0000], and Q=[−6−8].
What products are defined for these matrices?
Drag the operation to the boxes to correctly complete the table.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Product is defined. Product is not defined.
The product of two matrices L and P is given as L × P = [tex]\left[\begin{array}{cc}0&0\\0&0\end{array}\right][/tex].
A matrix is a collection of numbers that are arranged in rows and columns to form a rectangular array. The numbers are referred to as matrix elements or entries. Matrices are widely used in engineering, physics, economics, and statistics, as well as in many disciplines of mathematics.
Here,
The product of matrices is only possible when the matrices have one of the matching orders with rows and columns.
Since among the given matrices, only matrix P and matrix L has the same order so,
[tex]L\times P = \left[\begin{array}{cc}2&-3\\1&2\end{array}\right]\times \left[\begin{array}{cc}0&0\\0&0\end{array}\right]\\L \times P = \left[\begin{array}{cc}0&0\\0&0\end{array}\right][/tex]
Thus, the product of two matrices L and P is given as L × P = [tex]\left[\begin{array}{cc}0&0\\0&0\end{array}\right][/tex].
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Alonso brings $21 to the market to buy eggs and avocados. he gets eggs that cost $2.50. then, he notices that
the store only sells avocados in bags of 3 for $5. he wants to buy as many avocados as he can with his
remaining money.
let b represent the number of bags of avocados that alonso buys.
1) which inequality describes this scenario?
choose 1 answer:
2.50 + 5b < 21
b
2.50 +5b > 21
2.50 + 3b < 21
2.50 + 3b > 21
j
Answer:
£2.50+5b>21
Step-by-step explanation:
this is because a bag is b and they cost £5 so therefore it's 5b then they have to be under 21 pounds so you use the less than symbol.
In what ratio is the line joining 1/3 and 2 1 divided by the line 3x Y 9?
Line formed by joining the given points ( 1,3) and ( 2,1) divided in the ratio by the given equation of the line 3x + y = 9 is equal to 3 :2.
As given in the question,
Equation of the given line : 3x + y = 9 __(1)
Standard equation line formed by joining the two points :
( x₁ , y₁ ) = ( 1,3)
(x₂ , y₂) = ( 2,1 )
( y - y₁) / (y₂ -y₁ ) = ( x -x₁)/(x₂ - x₁ )
⇒(y - 3)/(1 - 3) = ( x -1)/(2 -1)
⇒(y -3)/-2 = (x -1)/1
⇒-2x +2 = y - 3
⇒ y + 2x = 5 __(2)
Subtract (2) from (1) we get,
3x + y = 9
2x + y = 5
x = 4
⇒y = -3
Point of intersection is ( 4, -3)
Distance between ( 4, -3) and ( 1,3) is:
= √ ( 4 -1)² + ( -3 -3 )²
= √9 + 36
= √45
= 3√5
Distance between ( 4, -3) and ( 2 ,1) is:
= √ ( 4 -2)² + ( -3 -1 )²
= √4 + 16
= √20
= 2√5
Required ratio to divide a line by given points is :
= 3√5 / 2√5
= 3/2
Therefore, the equation of the line 3x + y =9 divides the line formed by joining the given points in the ratio is 3:2.
The above question is incomplete, the complete question is:
In what ratio is the line joining the points (1,3) and (2,1 ) divided by the line 3x+y=9?
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which best describes the rule for this pattern? 1 comma space minus 12 comma space 12 comma space minus 1, ...
The rule for the given pattern is to subtract 13, then add 24.
The correct Option is (A.) subtract 13, then add 24.
What is A Number Pattern?A pattern or sequence in a series of numbers is called a number pattern. In general, this pattern builds a connection between all integers.
In this question we have the following pattern:
1, -12, 12, -1
Here we need to find the rule for this pattern.
Let's take the first number of the pattern, which is 1:
1
To obtain the second number of the pattern, which is -12, we must subtract 13, because:
1 - 13 = -12
To obtain the third number of the pattern, which is 12, we must add 24, because:
-12 + 24 = 12
Therefore, the correct answer is A.) subtract 13, then add 24
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The complete question is: "Which best describes the rule for this pattern? 1,-12,12,-1 A.) subtract 13, then add 24 B.) subtract -13, then add 24 C.) subtract -24, then add 13 D.) subtract 24, then add 13"
Find two monomials whose product equals -20a^4b², and whose sum is a monomial with a coefficient of 1.
Answer:
-4a²b
5a²b
Step-by-step explanation:
A monomial is a polynomial that has one term only but can have multiple variables.
Given monomial:
[tex]-20a^4b^2[/tex]
The coefficient of the given monomial is -20.
Therefore, we need to find two numbers that multiply to -20 and sum to 1.
Factors of -20:
-1 and 20-2 and 10-4 and 5-5 and 4-10 and 2-20 and 1Therefore, the two numbers that multiply to -20 and sum to 1 are:
-4 and 5Rewrite -20 as the product of -4 and 5:
[tex]\implies -4 \cdot 5 \cdot a^4b^2[/tex]
Rewrite the exponents as sums of equal numbers:
[tex]\implies -4 \cdot 5 \cdot a^{2+2} \cdot b^{1+1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c[/tex]
[tex]\implies -4 \cdot 5 \cdot a^2 \cdot a^2\cdot b^{1}\cdot b^{1}[/tex]
Rearrange as the product of two monomials with the same variables:
[tex]\implies -4a^2 b^{1}\cdot 5 a^2 b^{1}[/tex]
[tex]\implies -4a^2 b\cdot 5 a^2 b[/tex]
Therefore, the two monomials whose product equals -20a⁴b², and whose sum is a monomial with a coefficient of 1 are:
-4a²b5a²bCheck the sum of the two found monomials:
[tex]\begin{aligned}\implies -4a^2b+5a^2b&=(-4+5)a^2b\\&=(1)a^2b\\&=a^2b\end{aligned}[/tex]
Thus proving that the sum of the monomials has a coefficient of 1.
if the sum of the interior angles of a regular polygon is 900, how many sides does the polygon have?
The number of sides of the regular polygon with the sum of interior angles 900 degrees is equal to 7 .
As given in the question,
Sum of the interior angles of any regular polygon is equal to 900 degrees.
Let us consider 'n' represents the number of sides of the regular polygon.
Relation between number of sides with the sum of the interior angles in the regular polygon is given by :
( n - 2 ) × 180° = Sum of the measure of interior angles of regular polygon
⇒ ( n - 2 ) × 180° = 900°
Divide both the sides by 180°
⇒ ( n - 2 ) = 900° /180°
⇒ ( n - 2 ) = 5
⇒ n = 5 + 2
⇒n = 7 sides
Therefore, the number of sides of the regular polygon whose sum of interior angles 900 degrees is equal to 7 sides.
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Help I really need in this
1. What is square root and cube root function?
2. Who discovered square root and cube root function?
3. Where is square root and cube root function used in real life?
Answer:
Step-by-step explanation:
1.The square root function is a mathematical function that returns the positive number that, when multiplied by itself, gives the original number. It can be represented using the symbol √ or using the exponent 1/2. The cube root function is a mathematical function that returns the number that, when multiplied by itself three times, gives the original number. It can be represented using the symbol ∛ or using the exponent 1/3.
2.The ancient civilizations of Babylonia, Greece, and India all independently discovered the square root function. The concept of cube root was first mentioned in the ancient Indian text "Sulbasutras" around 800 BCE. The Greek mathematician Euclid also described the cube root function in his work "Elements" around 300 BCE.
3.The square root function is used in many areas of mathematics and science, including geometry, trigonometry, and physics. In real life, square root functions are used in many areas such as engineering, architecture, and finance. For example, in engineering, square root functions are used to calculate the stress and strain on materials. In architecture, square root functions are used to calculate the area of a building or room. In finance, square root functions are used to calculate the volatility of an asset. Similarly, cube root function is used in mathematics, physics, engineering, economics, and other fields. It is used to find the cube root of a number, to find the volume of a cube, to solve equations, and to calculate the cube root of a complex number.
The price of a gallon of unleaded gas has risen to $2.90 today. Yesterday's price was $2.83 . Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
2.4%
Step-by-step explanation:
What is the scale factor from the cliff in the drawing to the actual cliff?
The scale factor from the cliff in the drawing to the actual cliff is equal to 1/3.
What is scale factor?In Geometry, a scale factor is the ratio of two corresponding side lengths or diameter in two similar geometric figures, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.
Mathematically, the scale factor of a geometric figure can be calculated by dividing the dimension of the image by the dimension of the pre-image (actual figure):
Scale factor = Dimension of image (new figure)/Dimension of pre-image(original figure)
Scale factor = 12/36
Scale factor = 1/3.
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Answer:
Step-by-step explanation:
36ft/12in
36 divided by 12 =3 feet per inch
There are 11 vehicles in the parking lot. There could be a 2 wheel motorcycle or a 4 wheel car. There are 30 wheels. How many motorcycles are there in all?
There are 7 motorcycles and 4 cars in the parking lot
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Let x represent the number of motorcycle and y represent the car. There could be a 2 wheel motorcycle or a 4 wheel car.
There are 11 vehicles in the parking lot, hence:
x + y = 11 (1)
There are 30 wheels, hence:
2x + 4y = 30 (2)
From both equations:
x = 7, y = 4
There are 7 motorcycles
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Can a 3rd degree polynomial have 2 roots?
Three-degree polynomials have 3 roots. Three-degree polynomials are called cubic polynomials.
Any cubic equation having a degree three has 3 roots. Just like linear polynomials have only one root which has only one degree and a polynomial of degree two is known as a quadratic polynomial. A Quadratic polynomial has two roots. The degree of zero polynomial is not defined. The degree of a non-zero constant polynomial is zero. Non-zero constant polynomials are represented in the equation as a constant real number.
A cubic polynomial can be represented as:
[tex]ax^3+bx^2+c[/tex]
We can find the roots of a quadratic polynomial using splitting the middle term and the Quadratic formula.
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A school band has several students. ¼ play a brass instrument. ⅔ of those students play the trumpet. What fraction of students play the trumpet?
The fraction of the students that played the trumpet is 1/6
How to calculate the fraction of students that played the trumpet?The school band has several students
1/4 play a brass instrument
2/3 of those students play the trumpet
Therefore the fraction of students that paly the trumpet can be calculated as follows
1/4 × 2/3
= 1/6
Hence the fraction of students that play the trumpet is 1/6
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Eva drew a shape pattern that goes back and forth between rectangles and ovals. What are two other ways you can describe this set of shapes?
Answer: 3 ovals and 3 rectangles and an even amount of rectangles and ovals
Let PQRST be a regular pentagon, and let M be the midpoint of side ST. What is the measure of angle MQS, in degrees
The measure of angle MQS is 18°.
In mathematics, angles are typically measured in degrees or radians.
An angle is formed by two rays that have a common endpoint called the vertex. The rays are the sides of an angle, and the endpoint is called the vertex.
There are different types of angles:
Acute angle: an angle measuring between 0 and 90 degrees.
Right angle: an angle measuring exactly 90 degrees.
Obtuse angle: an angle measuring between 90 and 180 degrees.
Straight angle: an angle measuring exactly 180 degrees.
Reflex angle: an angle measuring between 180 and 360 degrees.
Draw QT and QS
Angles TQP, SQT, and SQR will trisect the interior angle PQR
And PQR = 108
So ...angle SQT = 108 / 3 = 36
But...by symmetry....angle XQS = (1/2)angle SQT = (1/2)36 = 18°
Therefore, The measure of angle MQS is 18°.
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Solve for X, Leave in simplest radical form.
Answer:
x = 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
using the cosine ratio in the right triangle and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{16}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 16[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 8[tex]\sqrt{3}[/tex]
Based on the graph above, estimate to one decimal place the average rate of change from
Jayvik and Fay are making 3-digit codes. The digit 0 is not used.
Jayvik only uses odd digits and Fay only uses even digits.
Jayvik can make x more codes than Fay.
Assume that digits can be repeated.
Work out the value of x.
Answer:
x = 61
Step-by-step explanation:
Let's call the number of codes Jayvik can make, j, and the number of codes Fay can make, f. We know that since 0 cannot be used, Jayvick can have 5 number choices (1, 3, 5, 7, 9), and Fay can have 4 number choices (2, 4, 6, 8). To calculate the number of possible codes for Jayvick, we will have:
5 * 5 * 5 = 125
So Jayvick can make 125 codes. Then, for Fay we have:
4 * 4 * 4 = 64
So Fay can make 64 codes. We were told at the beginning that:
j = f + x
So, we substitute our numbers in, giving us:
125 = 64 + x
Minusing 64 from both sides gives us:
x = 61
So, x = 61.
Hope this helped!
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mary needs to make a total of 40 deliveries this week she so far has made 38 oif them what percentage of her total deliveries has mary completed
The percentage of the total deliveries made by the Mary is equal to 95%.
As given in the question,
Total number of deliveries need to be delivered by the Mary this week = 40
Total number of deliveries completed by Mary is equal to 38
Percentage formula = [( Number obtained ) / (Total number ) ] × 100
Substitute the value in the formula we get,
The percentage of the completed deliveries made by Mary is
= ( 38 / 40 ) × 100
= 3800 / 40
= 95%
Therefore, the total percentage of the completed delivery made by Mary is equal to 95%.
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Please help right now ty
By parallelogram opposite angles converse, the given quadrilateral is a parallelogram.
What is quadrilateral?
With four sides, four vertices, and four angles, a quadrilateral is a closed shape and a specific kind of polygon. Four non-collinear points are connected to form it. A quadrilateral's interior angles add up to 360 degrees in all cases.
There are four closed sides to a quadrilateral. These shapes below are quadrilaterals: a four-sided shape. One set of parallel sides make up the shape, and there are no right angles.
In given figure we can see that there is a quadrilateral given.
The opposite angles of quadrilateral are same.
Also the opposite sides of the quadrilateral are same.
It defines the properties of parallelogram.
Hence, by parallelogram opposite angles converse, the given quadrilateral is a parallelogram.
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Which solid figure has the following net? square prism square pyramid triangular pyramid
need done rn
The solid figure that has the given net is C.rectangular prism.
What is a rectangular prism?A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.
Six faces, eight vertices (or corners), and twelve edges to up a rectangular prism. We would require either 12 edge pieces and 8 corner pieces to create the rectangular prism's frame or 6 rectangles that connect at the edges to form a closed three-dimensional shape.
Therefore, option C is correct.
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missing options:
square pyramid
cube
rectangular prism
square prism
Convert 6.7 × 10^3 to ordinary form.
Answer:
6700
Step-by-step explanation:
6.7*10³ to ordinary form. You simply move the decimal point three steps back because it's positive and put zeros before the decimal point which you have moved
Which equation represents the function on the graph?
ANSWER CHOICES
A: f(x)= cos 1/4x
B: f(x)= sin 4x
C: f(x)= cos 4x
D: f(x)= sin 1/4x
The equation represents the function on the graph is f(x)= cos 4x.
What is the function on the graph?
The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.
We have given,
A: f(x)= cos 1/4x
B: f(x)= sin 4x
C: f(x)= cos 4x
D: f(x)= sin 1/4x
To find the equation represent the function on the graph:
f(x) = cos 4x
let take the values on the x-axis of the graph,
x = п/2, п, 3п/2, 2п, 5п/2
For cos 360 degrees, the angle 360° lies on the positive x-axis. Thus cos 360° value = 1
Since the cosine function is a periodic function, we can represent cos 360° as, cos 360 degrees = cos(360° + n × 360°), n ∈ Z.
⇒ cos 360° = cos 720° = cos 1080°, and so on.
so, cos 4( п/2) = cos 4( 3п/2) = cos 4( 2п) = cos 4( 5п/2) = 1.
Hence, the equation represents the function on the graph is f(x)= cos 4x.
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What angle is angle x? It needs the rules of parallel lines to solve
Answer:
Step-by-step explanation:
all internal angles in a triangle add to 180 degrees.
77+36=113
180-113=67
we know that the final angle in the triangle is 67 degrees
the left parallel line makes another triangle in the bottom left. we know that one angle is 41 and we just calculated that the other is 67.
41+67=108
180-108=72
so now we know that the small triangle in the bottom left has angles of 41,67 and 72.
all straight lines are 180 degrees, and we just figures out that the left side of the left parallel line is 72 degrees. therefore the other side is 108 degrees.
since they are parallel lines, the left angle of both of them on the bottom line is 72, while the right angle is 108.
this means that x=108 degrees
i hope this is right and it helps if it is correct. really sorry if it is wrong. have a good day :)
pls answer 6 and 7 with working out
thank you :)
Answer:
The 6th one is x=70 and <BCX=145
Jorge wants to order tickets online so that he and 4 of his friends can go together to a movie. The cost of the tickets is $12.00 per person. The website also charges a transaction fee of $2.75 for the tickets online. Write an expression in terms of m that represents the cost of ordering m tickets online.Jorge wants to order tickets online so that he and 4 of his friends can go together to a movie. The cost of the tickets is $12.00 per person. The website also charges a transaction fee of $2.75 for the tickets online. Write an expression in terms of m that represents the cost of ordering m tickets online.
Answer:
if m stands for number of tickets
then amount would be
12+2.75*m
14.75m
Step-by-step explanation:
find the number of permutations x1, x2, x3, x4, x5 of numbers 1, 2, 3, 4, 5 such that the sum of five products x1x2x3 x2x3x4 x3x4x5 x4x5x1 x5x1x2 is divisible by 3.
The answer to the question is 90.
The sum of the five products x1x2x3 x2x3x4 x3x4x5 x4x5x1 x5x1x2 is divisible by 3 if and only if the sum of the exponents of each of the numbers 1, 2, 3, 4, and 5 in the expression is divisible by 3.
Since there are 5 numbers, and each number can appear in the exponent of each of the 5 products, there are 5^5 = 3125 ways to arrange the numbers. However, we need to subtract the cases where the exponents of each number don't add up to a multiple of 3.
For example, if the exponents of 1, 2, 3, 4, and 5 are (1, 1, 1, 1, 1), the sum of the exponents is 5, which is not divisible by 3. Similarly, if the exponents are (2, 1, 1, 1, 1), the sum of the exponents is 6, which is not divisible by 3.
After calculating this, we get that there are only 90 permutations that meet the condition. So the answer to the question is 90.
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find the minimum time that the train takes to travel between two consecutive stations that are 52.5 miles apart.
Therefore , the solution of the given problem of speed comes out to be
30.22 minutes taken to cover the distance.
Describe speed.Speed at a distance is a measure of how swiftly something is moving. A moving object's speed determines how far it travels in a given amount of time. Speed is determined by the formula: speed = distance x time. Meters every second (m/s), kilometers / hour (km/h), and kilometres per second (mph) are the most often used units for measuring speed (mph).
Here,
Similar to part b, but with the knowledge of the cruise distance and the necessity to solve for time, maximum cruising time is achieved.
1) Accelerating: 13.2 seconds, d = 871.2 feet.
2) Deceleration: 13.2 seconds, d = 871.2 feet.
3) When cruising: d = 45 miles - 871.2 feet - 871.2 feet = 237600 feet - 1742.4 feet = 235857.6 feet
t = 235857.6/132 = 1786.8s
Total: 1786.8 + 13.2 + 13.2 = 1813.2 seconds, or 30.22 minutes.
Therefore , the solution of the given problem of speed comes out to be
30.22 minutes taken to cover the distance.
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1) a cube-shaped sculpture has edges that are 4 ft long. the sculpture is made of marble that has a density
of 170 lb/ft?
(a) should the sculpture be placed on top of a pedestal that can support a maximum weight of 10,000 lb?
explain why or why not.
(b) would the density of the marble change if the sculpture was half the size? explain.
2) use the fermi process to estimate the number of sticks of butter needed to fill an empty bathtub. assume a typical stick of butter has a length of 4 inches, a width of 2 inches, and a height of 2 inches. assume the bathtub is a rectangular prism that has a length of 60 inches, a height of 40 inches and a width of 20 inches. show your work.
a) The cube-shaped sculpture has edges that are 4 ft long, so the volume of the sculpture is 4^3 = 64 ft^3. The density of the marble is 170 lb/ft^3, so the weight of the sculpture is 64 ft^3 * 170 lb/ft^3 = 10,880 lb.
How is this calculated?Since the sculpture weighs more than 10,000 lb, the pedestal should not be able to support it. The sculpture would require a pedestal that can support more than 10,000 lb.
b) The density of the marble is determined by the mass of the marble per unit volume. If the sculpture was half the size, it would have half the volume, but the same mass. So, the density of the marble would not change.
To estimate the number of sticks of butter needed to fill an empty bathtub, we can use the Fermi process.
First, we need to find the volume of the bathtub. A rectangular prism has a length of 60 inches, a height of 40 inches and a width of 20 inches. So, the volume of the bathtub is 604020 = 48000 cubic inches.
Next, we need to find the volume of a stick of butter. A stick of butter has a length of 4 inches, a width of 2 inches, and a height of 2 inches, so the volume of a stick of butter is 422 = 16 cubic inches.
Finally, we can divide the volume of the bathtub by the volume of a stick of butter to find the number of sticks of butter needed to fill the bathtub:
48000/16 = 3000 sticks of butter.
We can estimate that it would take around 3000 sticks of butter to fill an empty bathtub with the given measurements.
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Rhind Papyrus problem 28:
A quantity and its ⅔ are added together to become 19
which is : 2x + 2x/3 = 19
what does x stand for
Answer:
Step-by-step explanation:
?
In this problem, x stands for the original quantity. To solve the problem, we can use algebra to rearrange the equation.
2x + 2x/3 = 19
Multiply each side by 3
6x + 2x = 57
Subtract 2x from each side
4x = 57
Divide each side by 4
x = 14.25
Therefore, x stands for 14.25, which is the original quantity.
Step-by-step explanation:
the other answer started correctly and then did a strange (to put it mildly) and wrong turn.
that is why I have to add my answer :
2x + 2x/3 = 19
yes, we need to multiply both sides by 3 to get rid of the fraction :
6x + 2x = 57
now we add terms of the same base and get
8x = 57
x = 57/8 = 7.125
Josh is hiking Glacier National Park. He has now hiked a total of
17
km
17 km17, start text, space, k, m, end text and is
2
km
2 km2, start text, space, k, m, end text short of being
1
2
2
1
start fraction, 1, divided by, 2, end fraction of the way done with his hike.
Write an equation to determine the total length in kilometers
(
ℎ
)
(h)left parenthesis, h, right parenthesis of Josh's hike.
Josh will cover a total distance of 38 kilometres while trekking in Glacier National Park, having already covered 17 km of the park's trails.
How do we find out how far we have traveled overall?The idea that will be applied in this situation is the usage of models to simplify expression.
Josh was able to hike 17 km, and since this is 2 km short of being halfway done, we can create the equation that models the situation.
The model can be written as [17 + 2 = (1/2)h ]
h =length of the hike.
then we can substitute the values so that we can know the value of h,
[17 + 2 = (1/2)h ]
[19 =0.5h]
h = 38 km
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The properly written question:
Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, space, k, m short of being \dfrac12 2 1 start fraction, 1, divided by, 2, end fraction of the way done with his hike.
