Answer: 7c ≤ 63
Ivan will buy at most 9 pounds of candy, which means that multiplying 9 by 7, the cost of the candy, will get your answer: 63. Plug these values into an inequality with a less than or equal to sign (≤) facing away from 63 and you're done!
The possible amounts Ivan will spend on candy can be represented as c ≤ 7.
Explanation:Let's denote the amount Ivan will spend on candy as c. The cost of candy is $7 per pound, and Ivan will buy at most 9 pounds of candy. Therefore, the maximum amount he could spend on candy is 9 pounds multiplied by $7 per pound, which is 9c ≤ 63.
Since we are looking for possible amounts, we can rewrite this inequality as c ≤ 63/9, which simplifies to c ≤ 7.
So, the possible amounts Ivan will spend on candy are values less than or equal to $7.
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please help me with this question.
Answer:
b. Shift left 3 units
Step-by-step explanation:
You're given
y = √(x + 3)
y = √(x - (-3))
y = √(x - amount_shifted)
amount shifted = -3
so shifted 3 units and the negative means it's shifted to the left
what isthe turning point of the parabola equation isY=(x+2)(x-8)
Answer:
(3, - 25 )
Step-by-step explanation:
Given a quadratic in standard form : y = ax² + bx + c : a ≠ 0
The the x- coordinate of the turning point is
x = - [tex]\frac{b}{2a}[/tex]
Given
y = (x + 2)(x - 8) ← expand factors using FOIL
= x² - 6x - 16 ← in standard form
with a = 1 and b = - 6, thus
x = - [tex]\frac{-6}{2}[/tex] = 3
Substitute x = 3 into the equation for corresponding value of y
y = (3 + 2)(3 - 8) = 5(- 5) = - 25
turning point at (3, - 25 )
what two digit number is a multiple of 5 and has 3 less tens than ones
Answer:
25
Step-by-step explanation:
If a two digit number is a multiple of 5, then it ends with 0 or with 5.
If a two digit number ends with 0, then the number of ones is 0 and the number of tens must be 3 less that is impossible.
Hence, this two digit number must end with 5. If it ends with 5, then the number of ones is 5 and number of tens must be 5 - 3 = 2.
Therefore, the number is 25.
The question is about two-digit numbers that are multiples of 5 and have fewer tens than ones. Numbers such as 15, 25, 35, 45, 50, 65, 75, 85, and 95 satisfy these conditions.
Explanation:The subject of this question is a mathematical problem solving task regarding two-digit numbers and their properties. The most important criteria are that the number is a multiple of 5 and has less tens than ones. First, multiples of 5 are numbers that end in 0 or 5. Secondly, having less tens than ones implies that the digit in the ones place must be greater than the digit in the tens place.
An example of a number that fulfills these conditions would be 15. Here, the digit in the ones place (5) is greater than the digit in the tens place (1). Also, 15 is a multiple of 5 because it can be divided by 5 without leaving a remainder.
However, 15 is just one of many possible answers. Other numbers that satisfy these conditions are: 25, 35, 45, 50, 65, 75, 85, and 95.
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How many terms are in the algebraic expression 14m-8.8n+5p-1
Answer:
4 terms
Step-by-step explanation:
Terms are separated by adding or subtracting.
The terms are:
14m
-8.8n
5p
-1
The variables are not separate terms because they are multiplying with the coefficient, not adding or subtracting.
Which function has a range of vy s 5)?
of(x) = (x - 4)2 + 5
O (x) = -(x - 4)2 + 5
o f(x) = (x - 5)2 + 4
Of(x) = -(x - 5)2 + 4
Answer:
see the explanation
Step-by-step explanation:
Verify the range of each quadratic function
case 1) we have
[tex]f(x)=(x-4)^2+5[/tex]
This is a vertical parabola open upward (the leading coefficient is positive)
The function is written in vertex form
The vertex represent a minimum
The vertex is the point (4,5)
The range is the interval [5,∞)
[tex]y\geq 5[/tex]
case 2) we have
[tex]f(x)=-(x-4)^2+5[/tex]
This is a vertical parabola open downward (the leading coefficient is negative)
The function is written in vertex form
The vertex represent a maximum
The vertex is the point (4,5)
The range is the interval (-∞,5]
[tex]y\leq 5[/tex]
case 3) we have
[tex]f(x)=(x-5)^2+4[/tex]
This is a vertical parabola open upward (the leading coefficient is positive)
The function is written in vertex form
The vertex represent a minimum
The vertex is the point (5,4)
The range is the interval [4,∞)
[tex]y\geq 4[/tex]
case 4) we have
[tex]f(x)=-(x-5)^2+4[/tex]
This is a vertical parabola open downward (the leading coefficient is negative)
The function is written in vertex form
The vertex represent a maximum
The vertex is the point (5,4)
The range is the interval (-∞,4]
[tex]y\leq 4[/tex]
How many solutions dose the equation have 2(x+3)=12
[tex]
2(x+3)=12 \\
x+3=6 \\
x=3
[/tex]
Hope this helps.
Answer:
The answer is 1 solution.
Step-by-step explanation:
2(x+3)=12
First, do the multiplication by multiplying two times everything in the parentheses
2x+6=12
Then, subtract six from twelve.
2x+6=12
-6 -6
--------------------
2x=6
Finally, divide everything by two.
x=3
It has one solution, and the solution is x=3!
What is the prescribed dosage of a certain medicine for a child 4 years old, if the adult dosage of the medicine is 180 milligrams? Round to the nearest whole number
Answer:
40 mg
Step-by-step explanation:
Given,
The prescribed dosage the medicine for an adult = 180 milligrams,
Since, the minimum age of an adult = 18 years,
So, the prescribed dosage of the medicine for 18 years old person = 180 milligrams,
Thus, the ratio of prescribed dosage of medicine ( in mg ) and age of person ( in years ) = [tex]\frac{180}{18}[/tex]
Suppose prescribed dosage of a certain medicine for a child 4 years old is x mg,
So, ratio of prescribed dosage of medicine and age = [tex]\frac{x}{4}[/tex]
[tex]\frac{x}{4}=\frac{180}{18}[/tex]
[tex]\frac{x}{4}=10[/tex]
[tex]\implies x = 4\times 10 = 40[/tex]
Hence, the prescribed dosage of a certain medicine for a child 4 years old would be 40 mg.
Whats the analysis of yieldsof 2x square+9x+10
Answer:
The roots of the equation are -2.5 and -2
Step-by-step explanation:
We are given a quadratic equation and we are supposed to find the roots of the equation.
y = [tex]2x^{2}+9x+10[/tex]
To find the roots put y= 0.
We can factorize the given equation to get the roots.
[tex]2x^{2}+ 4x + 5x + 10[/tex] = 0
2x ( x + 2 ) + 5 ( x + 2 ) = 0
( 2x + 5 )( x + 2 ) = 0
x = -[tex]\frac{5}{2}[/tex] and x = -2
Hence the roots of the quadratic equation are -2.5 and -2.
nate runs 8 miles each week write an expression for the number of miles he runs in ‘n’ weeks find the number of miles neutrons in five weeks
Answer:
0ne week= 8 miles
W=5n
Sam & Avery are making small and large birdhouses for a craft show. Small houses sell for $10 and large houses sell for $15. It takes Sam 3 hours to build small houses and 5 hours to build large houses. He only has 24 hours of building time. Avery only has time to decorate 12 houses of either size. How many small & large houses should be made to make the most money?
If Sam had 30 days instead of only 24 hours and Avery had time to decorate 100 birdhouses instead of only 12, discuss solution methods you used and why.
Answer:
8 small houses; 0 large houses80 small houses; 0 large housesStep-by-step explanation:
a) The maximum number of houses Sam can build in 24 hours is 8, so the constraint is in construction, not decoration. For each small house Sam constructs, he makes $10/3 = $3.33 per hour of work. For each large house Sam constructs, he makes $15/5 = $3.00 per hour. The most money is to be made by building only small houses.
Sam should make 8 small houses and 0 large houses in 24 hours.
__
b) If Sam works 8-hour days, then he can complete at most 80 small houses. The constraint remains in construction, so the answer is the same: build only small houses.
_____
If Sam works more than 16 2/3 hours per day, he can build 100 large houses or more, so the constraint moves to decoration. The decorator makes more money by decorating large houses, so all the effort should go to construction of large houses.
If Sam works between 10 and 16 2/3 hours per day, the best revenue will come from some mix. The problem statement is unclear as to how many hours Sam works in 30 days.
which mapping shows a function
10.31988 to the nearest hundredth
Answer:
10.32
Step-by-step explanation:
10.31988
the 9 makes the 1 to a 2 so...
10.32
Round 62.276 to the nearest hundredth
Answer:
62.28
Step-by-step explanation:
Solve the inequality for u
-5u+27 [less than or equal to] 2
Answer:
5≤u
Step-by-step explanation:
Put the words and numbers into an equation:
-5u+27≤2
Put all like terms on one side:
27-2≤5u ---> Do you see what I did there? Now you don't have to work with negatives. :)
Simplify:
25≤5u
Solve:
5≤u
:)
jada 2 miles in 12 minutes jadas cousin swims 1 mile in 24 minutes who is moving faster how much faster
Final answer:
Jada's speed (⅔ mile per minute) is three times faster than her cousin's speed (⅔ mile per minute); thus, Jada is moving faster.
Explanation:
To determine who is moving faster between Jada and her cousin, we need to calculate their swimming speeds and compare them. Speed can be calculated by dividing the distance by the time it takes to cover that distance.
Jada's Speed:
Jada swims 2 miles in 12 minutes. To find her speed, we use the formula:
Speed = Distance ÷ Time
Speed = 2 miles ÷ 12 minutes = ⅔ mile per minute
Jada's Cousin's Speed:
Jada's cousin swims 1 mile in 24 minutes. Using the same formula:
Speed = 1 mile ÷ 24 minutes = ⅔ mile per minute
Comparison and Result:
Jada's speed is ⅔ mile per minute, whereas her cousin's speed is ⅔ mile per minute. Jada is swimming at a higher speed because she covers more distance in less time compared to her cousin. Specifically, she swims three times faster, evidenced by comparing their speeds:
Jada's speed ÷ Cousin's speed = ⅔ mile per minute ÷ ⅔ mile per minute = 3
Therefore, Jada is moving three times faster than her cousin.
Stacy is playing hide-and-seek with Austin and Christopher. Austin is hiding 12 meters south of Stacy, and Christopher is hiding 5 meters east of Austin. How far apart are Stacy and Christopher?
Answer:
Stacy is 13 meters apart from Christopher.
Step-by-step explanation:
Given:
Austin is hiding 12 meters south of Stacy.
Christopher is hiding 5 meters east of Austin.
To find distance between Stacy and Christopher.
Solution:
From the given data, we will trace the positions of each as shown in the figure below.
We find that the distance between Stacy and Christopher is the hypotenuse side of a right triangle formed by their positions.
By Pythagorean theorem:
[tex]Hypotenuse^2=Leg1^2+Leg2^2[/tex]
From the triangle:
Leg 1 = 5 meters
Leg 2= 12 meters
Plugging in the values.
[tex]Hypotenuse^2=5^2+12^2[/tex]
Simplifying.
[tex]Hypotenuse^2=25+144[/tex]
[tex]Hypotenuse^2=169[/tex]
Taking square root both sides.
[tex]\sqrt{Hypotenuse^2}=\sqrt{169}[/tex]
[tex]Hypotenuse=13[/tex] meters
Thus, distance between Stacy and Christopher = 13 meters
Stacy and Christopher are 13 meters apart. This was calculated using the Pythagorean theorem to find the hypotenuse of a right triangle with sides 12 meters and 5 meters.
To determine the distance between Stacy and Christopher, we need to view Stacy's location and the hiding places of Austin and Christopher as points on a grid in which Stacy is at the origin. Since Austin is hiding 12 meters south of Stacy, we can consider him to be at point A(0, -12). Christopher is hiding 5 meters east of Austin, this makes him at point C(5, -12).
Now, to find the distance between Stacy and Christopher, we'll use the Pythagorean theorem which says that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This can be written as:
C² = A² + B²
Where C is the hypotenuse, A and B are the other two sides of the triangle. In this case, A is the distance south (12 meters) and B is the distance east (5 meters). Thus,
C² = 12² + 5²
C² = 144 + 25
C² = 169
C = √169
C = 13 meters
Therefore, Stacy and Christopher are 13 meters apart.
in 1982, a belt sold for $11.50 ten years later, the price of the belt increased by 80%. How much more did it sell for in 1992? How much would the belt cost in 1992?
Answer:
It sold for $9.20 more in 1992 than in 1982.
It sold for $20.70 in 1992.
Step-by-step explanation:
The price in 1982 was $11.50.
The price increased by 80% of $11.50.
We need to find 80% of $11.50.
To find a percent of a number, multiply the percent by the number.
80% of $11.50 =
= 80% * $11.50
= 0.8 * $11.50
= $9.20
It sold for $9.20 more in 1992.
The price in 1992 is the original price of the belt plus the amount of increase.
$11.50 + $9.20 = $20.70
It sold for $20.70 in 1992 than in 1982.
8 4583/5000 simplified
Answer:
it's already simplified :) your welcome
A cell phone plan cost $200 to start. Then there is a $50 charge each month.
1. what is the total cost (start up fee and monthly charge) to use the cell phone plan for 1 month?
2. what is the total cost for x months?
Answer:
1) $250
2) $200 + $50x
Step-by-step explanation:
1)
$200 (start up fee) + $50 * ( 1 month ) = $200 + $50 = $250
2)
$200 (start up fee) + $50 * ( x months ) = $200 + $50x
Hope this helps :)
the length of the top of a rectangular desk is 24inches more than the width. What are the dimensions of the desk if the area of the top is 1,620 square inches?
Answer:
The dimensions of the desk are
Length: 54 inches
Width: 30 inches
Step-by-step explanation:
we know that
The area of rectangle is equal to
[tex]A=LW[/tex]
where
L is the length
W is the width
we have
[tex]A=1,620\ in^2[/tex]
so
[tex]1,620=LW[/tex] ----> equation A
[tex]L=W+24[/tex] ----> equation B
substitute equation B in equation A
[tex]1,620=(W+24)W[/tex]
solve for W
[tex]1,620=W^2+24W[/tex]
[tex]W^2+24W-1,620=0[/tex]
Solve the quadratic equation by graphing
The solution is W=30 in
see the attached figure
Find the value of L
[tex]L=30+24=54\ in[/tex]
therefore
The dimensions of the desk are
Length: 54 inches
Width: 30 inches
please help me I can fail math
Plz answer the attachment as soon as possible in under 3 minutes for brainliest and 40 points! math
Answer:
Table #4
Step-by-step explanation:
because for every one x added, 2 y are added( if that makes any sense)
Answer:
Second from the top
The answer you have selected:
40:8 , 50:10, 60:14, 90:18
Proportions can be viewed as fractions:
40/8, 50/10, 60/14, 90/18
Now we have to simplify these fractions
5 , 5 , 4.3, 5
Unfortunately, they do not all come out to the same number, so this answer is incorrect
The second answer from the top:
4/2 , 7/3.5, 8/4, 10/5
These all equal 2 when simplified
2, 2, 2, 2
This shows a proportional relationship between x and y. If you would like to continue to make sure the bottom two are incorrect, you can use the steps that I have used for the first two. Hope this helps :)
Please answer correctly! I will give brainliest to whoever answers CORRECTLY PLs check my profile for other chances to recieve brainliest!
Answer:
A
Step-by-step explanation:
We know that negative numbers are smaller than positive numbers, so let's compare the 2 negative numbers. Unlike positive numbers, the more negative it has, the smaller it is. So we know the smallest is -20. Without looking at the other numbers (even though I did just in case) we know that this is correct. They say least to greatest, so -20 should be first. A is the only one that starts with -20.
4y+3y=21 simplify as much as possible
Answer:
y=3
Step-by-step explanation:
Add the y and divide
7y=21
21/7=3
y=3
scientific notation
how do I do this?
Answer:
Post the questions and I'll do my best to help
Step-by-step explanation:
A music player was marked down by 1/4 of the original price.
a. If the sales price is $128, what is the original price?
b. If the music player was marked up by 1/2 before it was placed on the sales floor, what was the price that the store paid for the player?
c. What is the difference between the discount price and the price that the store paid for the music player?
pleaseee anyone :( it is due tmm 100 points
PLEASE SHOW ALL OF YOUR WORK! I NEED THIS ASAP! I WILL GIVE YOU BRAINLIEST! IF YOU SEND ME NONSENSE OR ANSWERS WITH NO WORK, I WILL REPORT YOU!!!! HAPPY NEW YEAR!!!!!!!!!
Answer:
Part A) 170.66$ would be the original price.
Part B) 256$ would be the price that the store paid for the music player.
Part B) What you need to balance is your markup, meaning how much to raise your price, and your markdown or discount, meaning, how to much to decrease prices.
Step-by-step explanation:
Part A) Determining the Original Price
Note: when a shopkeeper devalues of a certain product or commodity as he/she is being unable to sold the product or commodity at the original selling price that was planned, it normally means the product or commodity is being markdown due to certain issues.
So, a music player was marked down by 1/4 of the original price, and we have to calculate the original price if the sales price is $128.
Let 'p' be the original price
As a music player was marked down by 1/4 of the original price
So, Markdown = 1/4p
As the sales price is $128
As the Sale price = [tex]p - \frac{p}{4}[/tex] ⇒ [tex]\frac{3p}{4}[/tex]
[tex]128 = \frac{3p}{4}[/tex]
[tex]552 =3p[/tex]
[tex]p =170.66[/tex]
Hence, 170.66$ would the original price.
Part B) Determining the Price that the store paid for the music player
When an amount is added to the cost price of a product or commodity in order to determine the selling price, it means the the product or commodity is being marked up.
So, as the music player was marked up by 1/2 before it was placed on the sales floor and we have to determine the price that store paid for the player.
So, dividing the original price by 2 and adding the result to the original price would give us the price that store had to pay for the music player.
As the original price is 170.66.
So, the price that the store paid for the music player can be calculated as:
price = 170.66 + 170.66/2
price = 170.66 + 85.33
price = 255.99$ ≈ 256$
Therefore, 256$ was the price that the store paid for the music player.
Part C) Determining the difference between the discount price and the price that the store paid for the music
For example, let suppose you are a shopkeeper and have a jeans fabric business. You want to make money from it. But, in order to earn money from selling jeans fabric, you have to make sure that your price must be at the right value price both in terms of generating money and also giving your customer a great value for the money to given them a decent deal.
What you need to balance is your markup, meaning how much to raise your price, and your markdown, meaning, how to much to decrease prices.
In business, the conditions may never always remain favorable due to certain circumstance, hence bad days. Sometimes, the conditions get ideal for business, hence good days.
As I earlier sated that when a shopkeeper devalues of a certain product or commodity as he/she is being unable to sold the product or commodity at the original selling price that was planned, it normally means the product or commodity is being markdown due to certain issues.
For example, the cost price of 1 Jeans fabric is 10$, and you want to earn profit. So, you mark up your fabric to 30$. As $30 is $20 more than $10. So, markup value will be 2. In terms of percentage, it means you have a markup of 200%.
But, due to certain issues, your sales are being effected due to certain condition. In order to not affect the sales, you want to markdown the price - a kind of discount. Your starting price was $30 and want to decrease the price to $20. It means the difference is $10. So, you have made a markup or given a discount of $30/$10 = 0.33. In terms of percentage, it is around 33%. So, you have given the discount of 33% to hope for the great sales.
So, in the question, when the music player was marked down by 1/4 of the original price, it means the discount of 1/4 of the original price was provided. As the sale price was $128, and original price was $170.66. So, discount of 1/4 or 25% was offered.
As the original price was $170, and it was marked up by 1/2 by the owner or creator of music player before it was placed on the sales floor. So, 256$ was the price that the store paid for the music player.
Keywords: markdown, markup, discount, price
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Please help me! I’m desperate
Answer:
(a) d = 0.012v^2
(b) 4.8 m
(c) 25 m/s
Step-by-step explanation:
(a) Writing an equation to fit a bunch of data is often a matter of trial and error. You can often get an idea of the sort of function that is involved by graphing the data points.*
When we do that, we see the relationship is non-linear with an upward curvature. It might be described by a polynomial or exponential function.
When we try a quadratic equation, we find the fit is really quite good. The graphing calculator that does this quadratic regression analysis tells us the equation is essentially ...
d = 0.012·v^2
__
(b) The equation predicts a depth of 4.8 m.
d = 0.012·20^2 = 4.8
__
(c) Solving for speed, we get a speed of 25 m/s.
7.5 = 0.012v^2
625 = v^2 . . . . . . divide by .012
25 = v . . . . . . . . . take the square root
_____
* The energy of a falling object is proportional to the square of its speed. If we assume that the depth of penetration into the clay is proportional to the energy absorbed, then it is not surprising to see a quadratic relationship between speed and distance. What is surprising is that this relationship would show up in middle school math problem, not a high-school physics problem.
Essentially, you have to assume the form of the equation, then find the coefficients that make it so. Working with the evenly spaced table values of 5, 10, 15 m/s can simplify the effort.
A graphing calculator or spreadsheet can do the bulk of the work once the data is entered.
An employee earns $175 for 15 hours work.
Find the constant of variation.
[tex]\text{The constant of variation is a fancy word for rate of change}\\\\\text{You're trying to find the rate of change in this scenario, which would}\\\text{be your constant of varaition}\\\\\text{To find this, we need to know how much he makes each hour}\\\\\text{Find this by dividing 175 by 15:}\\\\175\div15= 11.666\\\\\text{Round to the nearest hundredths}\\\\11.67\\\\\boxed{\text{Constant of variation: 11.67}}[/tex]
Based on the information given the constant of variation is 11.67.
Using this formula
Constant of variation=Amount earned/Time
Where:
Amount earned=$175
Time=15 hours
Let plug in the formula
Constant of variation=$175/15
Constant of variation=11.66
Constant of variation=11.67 (Approximately)
Inconclusion the constant of variation is 11.67.
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Use sigma notation to represent the sum of the first six terms of the following sequence: 4, 12, 20, … the summation from n equals 1 to 6 of negative 4 plus 8 times n the summation from n equals 1 to 6 of 4 plus 8 times n the summation from n equals 1 to 6 of negative 1 plus 8 times n the summation from n equals 1 to 6 of 1 plus 8 times n
Answer:
[tex]\sum\limits^{n=6}_{n=1} {(-4+8n)}[/tex] is the notation to represent the sum of first six terms of the sequence 4, 12, 20, ....
So, the option "the summation from n equals 1 to 6 of negative 4 plus 8 times n" is the correct option as: [tex] \sum\limits^{n=N}_{n=1} {(-4+8n)}[/tex].
Step-by-step explanation:
Let us consider the sequence
4, 12, 20, ....
As d = 12-4 = 20 - 12 = 8
Hence, the sequence is an arithmetic as the common difference between consecutive terms is same (constant).
So,
For the arithmetic sequence,
a, a + d, a + 2d, a + 3d.........a + (n - 1)d
The nth term = a + (n - 1)d
a = first term, d = common difference
For the given sequence 4, 12, 20,...
a = 4, d = 8
Lets put these values in Summation Formula.
Sigma notation to represent the sum of the first six terms of the following sequence: [tex] \sum\limits^{n=N}_{n=1} {a+(n-1)d}[/tex]
⇒ [tex] \sum\limits^{n=N}_{n=1} {4+(n-1)8}[/tex]
⇒ [tex] \sum\limits^{n=N}_{n=1} {(4+8n-8)}[/tex]
⇒ [tex] \sum\limits^{n=N}_{n=1} {(-4+8n)}[/tex]
Hence, [tex]\sum\limits^{n=6}_{n=1} {(-4+8n)}[/tex] is the notation to represent the sum of first six terms of the sequence 4, 12, 20, .....
So, the option "the summation from n equals 1 to 6 of negative 4 plus 8 times n" is the correct option as: [tex] \sum\limits^{n=N}_{n=1} {-4+8n}[/tex].
Keywords: sigma notation, arithmetic sequence, series
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Answer:
the summation from n equals 1 to 6 of negative 4 plus 8 times n
One yard of a ribbon costs 3 1/2 dollars. How much should one pay for: 5/8 yards?
The one should pay [tex]2\frac{3}{16}[/tex] dollars
Step-by-step explanation:
Let us revise how to multiply a mixed number by a proper fraction
Change the mixed number to improper fraction by multiplying the whole number by the denominator and ad the the product to the numerator and put the sum over the denominator ( [tex]a\frac{b}{c}=\frac{ac+b}{c}[/tex] )Multiply the two numerators and multiply the two denominators∵ One yard of a ribbon costs [tex]3\frac{1}{2}[/tex] dollars
∵ We need to find the cost of [tex]\frac{5}{8}[/tex] yards
- Multiply the cost of 1 yard by [tex]\frac{5}{8}[/tex]
∵ [tex]3\frac{1}{2}[/tex] = [tex]\frac{3(2)+1}{2}[/tex] = [tex]\frac{6+1}{2}[/tex]
∴ [tex]3\frac{1}{2}[/tex] = [tex]\frac{7}{2}[/tex]
∵ The cost = [tex]\frac{7}{2}[/tex] × [tex]\frac{5}{8}[/tex]
∴ The cost = [tex]\frac{7(5)}{2(8)}[/tex]
∴ The cost = [tex]\frac{35}{16}[/tex]
Change the improper fraction to a mixed number
∵ 35 ÷ 16 = 2 and remainder 3 ⇒ (16 × 2 = 32)
∴ [tex]\frac{35}{16}[/tex] = [tex]2\frac{3}{16}[/tex]
∴ The cost = [tex]2\frac{3}{16}[/tex] dollars
The one should pay [tex]2\frac{3}{16}[/tex] dollars
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Answer:
2.1875
Step-by-step explanation: