Answer: 42258
Step-by-step explanation:
multiply by 2 because if 1 hour is 21,189 feet 2 hours is 2 times more!
Hope this helps!
Use dimensional analysis to perform the following conversions, show all your work and report the answer in the correct number of significant figures. a. 261 g ---> kg b. 3 days ---> seconds c. 9,474 mm ---> cm d. 0.73 KL ---> L
The conversions are 0.261 kg, 300000 seconds, 947.4 cm and 730 L.
a. 261 g to kg
For converting grams to kg, we divide by 1000.
(261 / 1000)= 0.261 kg
The number of significant figures in 261 g is 3 and the number of significant figures in the answer 0.261 kg is also 3.
b. 3 days to seconds
1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds
1 day = 24 x 60 x 60 seconds
Therefore, 3 days = 3 x 24 x 60 x 60 seconds = 2, 59, 200 seconds
Since, the number of significant figures in 3 days is 1, hence we write 2, 59, 200 as 300000 seconds, such that it has 1 significant figure.
c. 9, 474 mm to cm
For converting mm to cm, we divide by 10
(9474 / 10) = 947.4 cm
The number of significant figures in 9, 474 mm is 4 and the number of significant figures in the answer 947.4 cm is also 4.
d. 0.73 KL to L
1 KL = 1000 L
0.73 KL = 0.73 X 1000 L = 730 L
The number of significant figures in 0.73 KL is 2 and the number of significant figures in the answer 730 L is also 2.
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What is the surface area of the cylinder with height 5 ft and radius 7 ft
Answer:
527.79
2πrh+2πr
2π 7• 5+2π7
Marisa has just won a contest. She must decide between two prize options:
Option A: Collect a lump-sum payment of $50 000.
Option B: Receive $800 at the end of every quarter for 10 years from an
investment. The investment earns 8%/annum, compounded
quarterly.
How much more money would she have if she chooses the lump sum?
Marissa will earn $ 1678.41 more if she chooses the Lumpsum amount of money.
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.
Given, Marisa has just won a contest. She must decide between two prize options:
Option A: Collect a lump-sum payment of $50 000.
Option B: Receive $800 at the end of every quarter for 10 years from an investment. The investment earns 8%/annum, compounded quarterly.
We must calculate how much the future value has an 800$ quarterly payment for 10 years at 8%.
R = 800
rate = 0.08
Compounded quarterly
i = 0.08/4 = 0.02
t = 10 years
m = 10 *4
From the formula of the present value of Annuity:
FV = R. ((1 + i)^m - 1)/i
FV = 48321.59
Since the lump sum payment is 50,000$
The difference in payments = 50,000 - 48321.59
The difference in payments = 1678.41
Therefore, Marissa will earn $ 1678.41 more if she chooses the Lumpsum amount of money.
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At the beach, Ayana and her sister both built sandcastles and then measured their heights. Ayana's sandcastle was 1/2 of a foot tall and her sister's was 3/8 of a foot tall. How much taller was Ayana's sandcastle than her sister's?
Write your answer as a fraction or as a whole or mixed number.
Ayana's sandcastle is 1/8 foot taller than her sister's.
What is fraction?Fractions in Math, represent a numerical value that expresses a part of a whole. The whole can be any number, specific value, or a thing.
Given,
Ayana's sandcastle was 1/2 of a foot tall
Her sister's was 3/8 of a foot tall.
Difference between the height of the both sandcastle
= 1/2 - 3/8
= (4 - 3)/8
= 1/8
Hence, Ayana's sandcastle is taller than her sister's by 1/8 foot.
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Ten percent of the 30 wim team member are new on the team. How many member are new?
A-3
B-36
C-10
D-6
Ten percent of the 30 team members which means that [tex]$\dfrac{10}{100} \cdot 30 = 3$[/tex] team members are new to the team. So, the answer is 6 new team members. Option D is correct.
To understand how we got the answer, we need to understand the concept of "percentage". The percentage is a way of showing a number as a fraction of 100. So, 10% means [tex]$\dfrac{10}{100}$[/tex].
Now, if we multiply this fraction by the total no. of team members, we'll find the no. of new team members.
[tex]$\dfrac{10}{100} \cdot 30 = 3$[/tex]
So, 10% of the 30 team members are equal to 3 team members, and that's why the answer is D-6.
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What is the rule for the following geometric sequence? 64, -32, 16, -8...
Answer:
The rule for this geometric sequence is that the number is being halved each time. This can be expressed as a general rule as follows: an = a1 * (1/2)^n-1 , where a1 is the first term, n is the number of the term in the sequence, and an is the nth term. Therefore, the nth term of this sequence is an = 64 * (1/2)^n-1.
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Overnight, the temperature in Chicago was just
–
7°F. But by the afternoon, the temperature had risen 9°F.
What was the temperature in Chicago that afternoon?
°F
The temperature during the afternoon in Chicago is 2°F
What is meant by the temperature of a place?
The average air temperature throughout a specific time period, typically a day, a month, or a year, as measured by a thermometer that has been properly exposed determines the temperature of a place.
Given,
The overnight temperature in Chicago = -7°F
The temperature that had risen during the afternoon = 9°F
From this data, we can see that there is no temperature change during the morning in Chicago.
That means the temperature remained constant throughout the night till the next morning.
Therefore the temperature during the afternoon in Chicago = -7+9 = 2°F.
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Solve -3x + 7 = 2x -3. Write the solution as an integer or decimal.
x = __
Answer:
x = 2
Step-by-step explanation:
- 3x + 7 = 2x - 3 ( subtract 2x from both sides )
- 5x + 7 = - 3 ( subtract 7 from both sides )
- 5x = - 10 ( divide both sides by - 5 )
x = 2
The balcony of an apartment is 4 feet wide by 7 feet long. on a scale drawing of the apartment, the balcony is 0.8 inch wide by 1.4 inches long, and the kitchen is 2.4 inches wide by 2.8 inches long. what is the actual width of the kitchen? enter your answer in the box. the actual width of the kitchen is___feet.
Answer:
The actual dimensions of the kitchen are 12 feet by 14 feet
Step-by-step explanation:
The kitchen's real measurements are 12 feet by 14 feet.
Detailed explanation:
4 / 0.8 = 5, 7 / 1.4 = 5. The actual drawing ratio is a 5:1 ratio.
Consequently, 2.4 inches multiplied by 5 is 12 feet and 2.8 inches multiplied by 5 equals 14 feet.
12 ft. x 14 ft.
ORFind the scale of the drawing
[tex]\frac{0.8}{4} \frac{in}{ft.} = \frac{1.4}{7} = 0.2 \frac{in}{ft.}[/tex]
To determine the precise dimensions subtract 0.2 from the measurements on the scale illustration to get 12 feet (2.4/0.2).
2.8/0.2 = 14 ft
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A cliff stands 70 ft tall with the lake water reaching 50 ft away from the cliff.
Question: What is the angle of depression from the top of the cliff to the edge of the water. PLEASE HELP ME WITH THIS.
The angle of depression from the top of the cliff to the edge of the water
is 54.46°.
What are trigonometric functions?Trigonometric functions, often known as circular functions, are, in a nutshell, the functions of the angle of a triangle. This indicates that the relationship between a triangle's angles and sides is provided by these trig functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant, and cosecant.
Given the height of the cliff = 70 feet,
the lake water reaches 50 ft away from the cliff.
distance from the base of the cliff to lake water = 50 feet
the angle of depression is found by tanФ
where Ф = angle of depression
tanФ = perpendicular/base
perpendicular = height = 70 feet
base= 50 feet
tanФ = 70/50
Ф = tan⁻¹(1.4)
Ф = 54.46°
Hence angle of depression is 54.46°.
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g what is the expression for the probability density function of this weibull distribution?
The expression for the probability density function of the Weibull distribution will be: f(x) = k * x^(k-1) * e^(-x^k)
The expression for the probability density function (pdf) of a Weibull distribution is given by:
f(x) = k * x^(k-1) * e^(-x^k)
where:
x is the random variable
k is the shape parameter, which determines the shape of the distribution
e is the base of the natural logarithm
The shape parameter can take on any positive value, and the distribution is typically characterized by a shape that is either increasing or decreasing, depending on the value of k.
If the value of the k is less than 1, the distribution has a decreasing hazard rate, indicating that the failure rate decreases over time.
If the value of the k is greater than 1, the distribution has an increasing hazard rate, indicating that the failure rate increases over time.
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92% of what number is 345
Answer:
375
Step-by-step explanation:
Formula+ Number x 100/percent= 345x100/92=375
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A sign says that the price marked on all music equipment is 30% off the original price. You buy an electric guitar for the sale price of $315. Some answers will not be used. 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. How much money did you save off the original price of the guitar? What is the original price? What percent of the original price is the sale price?
Answer:220.5
Step-by-step explanation:
Do 315 - 30%
You saved $135 off the original price of the guitar. The original price is $450. The sale price is 30% off the original price.
Use the integers that are closest to the number in the middle.< 48
Integers include zero, a positive natural number, and a negative integer represented by a minus sign, and the missing integers in the given situation are 5 < √48 < 7.
What are integers?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.
The inverse additives of the equivalent positive numbers are the negative numbers.
The boldface Z is a common mathematical symbol for the set of integers.
An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction.
Integer examples include -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.
So, we have:
__ < √48 < __
We know that:
√48 = 6.92
Then,
5 < √48 < 7
Therefore, integers include zero, a positive natural number, and a negative integer represented by a minus sign, and the missing integers in the given situation are 5 < √48 < 7.
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Complete question:
Use the integers that are closest to the number in the middle.
__ < √48 < __.
2 questions to answer. Solve each of the following inequalities, 1. [tex]\frac{10q+9}{2}[/tex] ≤ \frac{3}{8}[/tex] 2. [tex]\frac{5(-5s-1)}{6}[/tex] > - [tex]\frac{9}{5}[/tex] ( negative 9 over 5) representing each solution on a number line.
Answer:
To solve the inequality ≤ \frac{3}{8}, we need to find all the values of x that will make the inequality true. We can start by setting the inequality equal to zero and solving for x.
x ≤ \frac{3}{8}
To graph the solution on a number line, we can use an open circle at \frac{3}{8} to indicate that the value is not included in the solution. So the solution set is: (-∞,3/8)
To solve the inequality > -\frac{9}{5}, we need to find all the values of x that will make the inequality true. We can start by setting the inequality equal to zero and solving for x.
x > -\frac{9}{5}
To graph the solution on a number line, we can use an open circle at -\frac{9}{5} to indicate that the value is not included in the solution. So the solution set is: (-9/5, ∞)
Step-by-step explanation:
find nonzero scalars and so that 4 (2−5) (4 4)=0 for every pair of vectors and . (express numbers in exact form. use symbolic notation and fractions where needed.)
The scalars 0 and any scalar with magnitude 0 satisfy the equation 4(2−5)(4,4) = 0 for every pair of vectors (4,4).
Vectors are mathematical objects that have both magnitude and direction. They can be multiplied by scalars, which are non-zero real numbers.
In this case, we are looking for non-zero scalars that satisfy the equation 4(2−5)(4,4)=0 for every pair of vectors (4,4).
To begin, we simplify the equation.
The expression 2−5 equals to -3, so
=> 4(-3)(4,4) = 4(-12,-12).
Next, we multiply 4 by -12 to get -48. The expression
=> 4(-12,-12) = (-48,-48).
Now, we need to find non-zero scalars that multiply (-48,-48) to give us a zero vector, which is a vector with magnitude of 0 and direction undefined.
Any scalar that satisfies this condition is a solution. For example, the scalar 0 satisfies this condition because
=> 0 * (-48,-48) = (0,0).
Additionally, any scalar with magnitude 0 will also satisfy this condition because the product of a vector and a scalar with magnitude 0 is always the zero vector.
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Start with y divide by 7 then add 2
The condition "y divide by 7 then add 2" can be represented as expression, [tex]\frac{y}{7} +2[/tex]
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
A condition,
y divide by 7 then add 2
Here, we have to apply two operation to complete this expression,
1. Division
2. Addition
First, doing division operation,
y divide by 7
⇒ y/7
Now, second operation which is addition of 2
⇒ [tex]\frac{y}{7} + 2[/tex]
Hence, the expression is [tex]\frac{y}{7} + 2[/tex]
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All lines parallel to the line 3x – 8y = 4 are given by equations of the form (a) 3x – 8y = 0 (b) 3x – 8y = c for a constant c (c) 8x – 3y = c for a constant c (d) none of these
The slopes of perpendicular lines are opposite reciprocals and hence option D is correct
The slope of the given line is 3/8, so its opposite reciprocal is -8/3. From the options we have to find a line with this slope.
In the given line, it was easy to find the slope because the equation is in slope-intercept form, but in the options the equations are in standard form,
If we solve this for y we get the slope-intercept form,
Thus the slope of a line whose equation is in standard form is,
• Option A: a = 3, b = 8. The slope is -3/8 → ,not perpendicular
• Option B: a = 3, b = -8. The slope is 3/8 → ,not perpendicular
• Option C: a = -8, b = 3. The slope is 8/3 → ,not perpendicular
• Option D,: a = 8, b = 3. The slope is -8/3 → ,this line is perpendicular, to the given line
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if the sample coefficient of determination (r2) is 0.80, this means that:select one:20 percent of the variation in the dependent variable is explained by the regression20 percent of the variation in the independent variable is explained by the regression.80 percent of the variation in the dependent variable is explained by the regression.80 percent of the variation in the independent variable is explained by the regression.
The interpretation is that 18% of the variation in the dependent variable can be explained by the variation in the independent variable.
Coefficient of determination R²
The percentage of variance in the dependent variable that is explained by the independent variable is shown by the coefficient of determination. R² value is always in the range between 0 and 1. As opposed to 1, which shows that the independent variable fully explains the variation in the dependent variable, 0 means that the independent variable is utterly ineffective at predicting the variance in the dependent variable. It is stated as a percentage.
Interpretation of
R²=0.18
Since
R² is expressed in percentage terms,
R²=0.18
=18/100
=18%
Accordingly, the variation in the independent variable can account for 18% of the variation in the dependent variable. 82% of the variance is unaccounted for and cannot be attributed to the independent variable.
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The full question would be
How do you interpret a coefficient of determination, r 2, equal to 0.18 A? The interpretation is
On average, the earth is 93 million miles away from the center of the sun.
A) Assuming that the earth's orbit is circular, estimate the number of miles our planet travels in one complete revolution around the sun.
B) The complete revolution around the sun takes 1 year. How fast is the earth moving in this orbit in feet per second?
step by step please
Step-by-step explanation: A) The number of miles the earth travels in one complete revolution around the sun can be estimated using the circumference of the circular orbit.
Circumference = 2 * π * radius
Since the average distance from the earth to the sun is 93 million miles, this is the radius of the circular orbit:
Circumference = 2 * π * 93 million miles
Simplifying, we get:
Circumference = 186 million * π miles
So the number of miles the earth travels in one complete revolution is approximately 186 million * π miles.
B) To find the speed of the earth in feet per second, we need to divide the total distance by the time it takes to travel that distance.
The complete revolution takes 1 year, or 365.25 days. So the time it takes to travel the distance is 365.25 days * 24 hours/day * 60 minutes/hour * 60 seconds/minute = 31,536,000 seconds.
Speed = Total distance / Time
Speed = 186 million * π miles / 31,536,000 seconds
We can convert miles to feet:
Speed = 186 million * π * 5280 feet/mile / 31,536,000 seconds
So the speed of the earth in its orbit around the sun is approximately 66,600 feet per second.
Answer:
A) One complete revolution around the sun is equal to the circumference of a circle with radius 93 million miles. The circumference of a circle with radius r is given by 2πr, so the circumference of the earth's orbit is 2π * 93 million = 186 million miles * π.
B) To convert this distance to feet per second, we first need to convert miles to feet (1 mile = 5280 feet). The distance the earth travels in one complete revolution is 186 million miles * 5280 feet/mile = 979,680,000,000 feet. If this distance is travelled in one year, then the speed of the earth in feet per second is 979,680,000,000 feet / (365 days/year * 24 hours/day * 60 minutes/hour * 60 seconds/minute) = 66,620 feet/second.
Melody is saving her money for a new MP3 player that costs $72. She has already saved $52. She just received a gift of B dollars from her brother, but she still does not have enough money to buy the MP3 player. Which number sentence below represents this situation?
Answer:
b+52<72
Step-by-step explanation:
The stem & leaf diagram shows the times it takes all the people in an office to finish a crossword
The number of people took more than 25 minutes to finish a crossword is 9.
What is stem and leaf plot?A stem and leaf plot also called a stem and leaf diagram is a way of organizing data into a form that makes it easy to observe the frequency of different types of values. It is a graph that shows numerical data arranged in order. Each data value is broken into a stem and a leaf.
A stem and leaf plot is represented in form of a special table where each first digit or digit of data value is split into a stem and the last digit of data in a leaf.
From the given stem and leaf plot, we have
10, 11, 14, 24, 25, 26, 27, 28, 34, 34, 40, 42, 45 and 47
So, the number of people took more than 25 minutes is 9.
Therefore, the number of people took more than 25 minutes to finish a crossword is 9.
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patrick wants to estimate the percentage of companies that use video ads. he asks a randomly selected group of 125 companies whether or not they use video ads. what is the statistic?
The percentage of companies that use video ads in the sample is the statistic.
A statistic is the measure of a particular characteristic in the sample which is nothing but a subset of the population. A singular or sample statistic is any quantity computed from values in a sample that is considered for a statistical purpose.Here, the concern is to estimate the percentage of companies that use video ads.
He took a sample of 125 companies to inquire whether or not they use video ads.
So, the percentage of companies that use video ads in the sample is the statistic.
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2. Which group found the volume of a
triangular pyramid with a base area of 16
square inches?
The volume of a triangular pyramid can be found using V = 1/3AH where A = area of the triangle base, and H = height of the pyramid or the distance from the pyramid's base to the apex.
How to calculate the volumeA tetrahedron is a polyhedron in geometry that has four triangular faces, six straight edges, and four vertex corners. It is often referred to as a triangle pyramid. The simplest regular convex polyhedron is the tetrahedron. A triangle base, three triangular faces, and a common vertex make up the geometric shape known as a triangular pyramid.
The formula for calculating the volume of a triangular pyramid is Volume= 1/3 × Base area × Height. The dimensions required to find the surface area of a triangular pyramid are the side, height, and slant height.
Note that an overview was given as your information is incomplete.
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Can someone help pls
Answer: 264
Step-by-step explanation:
calculated each area, shown in the picture above
[tex]3x-1\ \textgreater \ 2\\[/tex]
The solution to the inequality is x > 1
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
3x - 1 > 2
Subtract -1 from both sides of the expression
So, we have
3x > 3
Divide both sides by 3
This gives
x > 1
Hence, the solution is x > 1
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what is the unsigned octal equivalent of the following unsigned hexadecimal value?
The process of converting a hexadecimal value to octal involves two steps: first converting the hexadecimal value to binary, and then converting the binary value to octal.
Hexadecimal is a number system that uses 16 digits, from 0 to 9 and A to F, to represent values. It is commonly used in computer science, as it provides a concise representation of binary data.
To convert a hexadecimal value to an octal value, the hexadecimal number must first be converted to binary, and then the binary number must be converted to octal.
The octal number system uses 8 digits, 0 to 7, to represent values. To convert a binary number to octal, the binary number is split into groups of 3 bits each, starting from the rightmost bit.
The value of each group is then found by adding up the values of the bits that are turned on.
In this case, the unsigned hexadecimal value is given, and we need to find its unsigned octal equivalent.
To do this, we first convert the hexadecimal value to binary. We then group the binary digits into groups of 3 bits each and find the octal equivalent of each group.
The final answer is the concatenation of the octal values of each group, from left to right.
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An ancient artifact is four times as old as an antique book. In 200 years, the artifact will be 3 times as old as the book. How old is the artifact now?
The current age of the artifact is 1600 years
How old is the artifact now?Let's call the current age of the artifact "a" and the current age of the book "b".
The artifact is four times as old as the book, so we have:
a = 4b
In 200 years, the artifact will be a + 200 and the book will be b + 200.
From the problem, we know that in 200 years:
a + 200 = 3 (b + 200)
Expanding the right side:
a + 200 = 3b + 600
Substituting a = 4b:
4b + 200 = 3b + 600
Solving for b:
b = 400
So the current age of the book is 400 years old.
Recall that
a = 4b
So, we have
a = 400 * 4 = 1600
And the current age of the artifact is 4 times that, or 1600 years old.
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Write an algorithm to find the substring from the given string that is the same when read forwards and backwards. Input The input consists of a stringinputStr, representing the given string for the puzzle. Output From the given string, print a substring which is the same when read forwards and backwards.
An algorithm to find the substring from the given string that is the same when read forwards and backwards in python language.
Here's a basic algorithm in Python to find the longest palindromic substring:
def longest_palindromic_substring(input_str):
n = len(input_str)
if n == 0:
return ""
dp = [[False for _ in range(n)] for _ in range(n)]
longest_len = 1
longest_start = 0
for i in range(n):
dp[i][i] = True
for start_idx in range(n - 1, -1, -1):
for end_idx in range(start_idx + 1, n):
if input_str[start_idx] == input_str[end_idx]:
if end_idx - start_idx == 1 or dp[start_idx + 1][end_idx - 1]:
dp[start_idx][end_idx] = True
if end_idx - start_idx + 1 > longest_len:
longest_len = end_idx - start_idx + 1
longest_start = start_idx
return input_str[longest_start : longest_start + longest_len]
The above algorithm uses dynamic programming to solve the problem in O(n^2) time complexity, where n is the length of the input string.
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Member of a club bought on book for $3. 50 and each member need a pair of knitting needle for $3. 20 and yarn for $5. 40. They pent $63. 70 in total how amny memebr are there?
The price per book is $3.50, the knitting needle is $3.20, the yarn is $3.20 and the total spent is $63.70. Then, the number of members present there are 7 members.
An equation is a formula that connects two expressions with an equal sign and expresses their equivalence.
Given the price of the book is $3.50. The price of a knitting needle is $3.20. And, the price of the yarn is $5.40. The total amount spent by the member is $63.70.
Let us consider the number of members as x. The given situation is written in an equation as,
[tex]\begin{aligned} 3.50 + 3.20x + 5.40x &= 63.70\\8.60x& = 63.70 - 3.50\\8.60x& = 60.20\\x &= \frac{60.20}{8.60}\\x &= 7\end{aligned}[/tex]
The required answer is 7.
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