A town in east Texas received 25 inches of rain in two weeks. If it kept raining at this rate for a 31-day
month, how much rain did the town receive? Round your answer to the nearest inch.
The town received approximately
inches of rain during a 31-day month.
Answers
We get approximately 56 inches of rain during a 31-day month.
What is the rate in mathematics?
In mathematics, a rate is a ratio that compares two different quantities. It is a way to express the relationship between two quantities that have different units of measure. For example, you might express the rate at which you are traveling as miles per hour, which compares the distance you have traveled (in miles) to the time it took you to travel that distance (in hours).
To find the amount of rain the town received in a 31-day month, we need to determine the daily rainfall rate and then multiply it by the number of days in the month.
The town received 25 inches of rain in two weeks, which is equal to 25/2 = 12.5 inches per week. Since there are 7 days in a week, the daily rainfall rate is 12.5/7 = 1.79 inches per day.
If it kept raining at this rate for a 31-day month, the town would receive approximately 1.79 inches per day * 31 days = 55.9 inches of rain.
Hence, we get approximately 56 inches of rain during a 31-day month.
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We get approximately 56 inches of rain during a 31-day month.
What is the rate in mathematics?
In mathematics, a rate is a ratio that compares two different quantities. It is a way to express the relationship between two quantities that have different units of measure. For example, you might express the rate at which you are traveling as miles per hour, which compares the distance you have traveled (in miles) to the time it took you to travel that distance (in hours).
To find the amount of rain the town received in a 31-day month, we need to determine the daily rainfall rate and then multiply it by the number of days in the month.
The town received 25 inches of rain in two weeks, which is equal to 25/2 = 12.5 inches per week. Since there are 7 days in a week, the daily rainfall rate is 12.5/7 = 1.79 inches per day.
If it kept raining at this rate for a 31-day month, the town would receive approximately 1.79 inches per day * 31 days = 55.9 inches of rain.
Hence, we get approximately 56 inches of rain during a 31-day month.
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Related Questions
Jasmine gets paid to do chores around her house. She earns $3.00 every 20 minutes that she cleans the gutters. She earns $3.60 every 20 minutes that she mows the lawn. It took her 40 minutes to clean the gutters and 2 hours to mow the lawn. How much money did Jasmine earn?
Answers
Answer:
$24Step-by-step explanation:
Step one:
given data
we are told that she earned $3 every 20minute for gutter cleanup
and for mow, she earns $3.6 every 20 minutes.
Step two;
1. For a 40 minutes gutter cleanup she will make
=3*40/20
=3*2
=$6
1. For a 2 hours mow she will make
2 hours is 120 minutes
=3.6*120/20
=3*6
=$18
So in total she earned 6+18= $24
integrate the following
•(x+10)²
Answers
Answer:
\( \rm\displaystyle \frac{ {x}^{3} }{3} + 10 {x}^{2} + 100 x + \rm C\)
Step-by-step explanation:
we would like to integrate the following integration:
\( \displaystyle \int (x + 10 {)}^{2} dx\)
to do so simplify the integrand by using algebraic identity which yields:
\( \displaystyle \int {x}^{2} + 20x + 100 dx\)
by sum integration we obtain:
\( \rm\displaystyle \int {x}^{2}dx + \int20x dx+ \int 100 dx\)
remember that,
\( \displaystyle \int cxdx = c \int xdx\)
so,we acquire:
\( \rm\displaystyle \int {x}^{2}dx + 20\int x dx+ \int 100 dx\)
use exponent integration rule which yields:
\( \rm\displaystyle \frac{ {x}^{3} }{3} + 20 \frac{ {x}^{2} }{2} + \int 100 dx\)
use constant integration rule which yields:
\( \rm\displaystyle \frac{ {x}^{3} }{3} + 20 \frac{ {x}^{2} }{2} + 100 x\)
simplify:
\( \rm\displaystyle \frac{ {x}^{3} }{3} + 10 {x}^{2} + 100 x\)
and we of course have to add the constant of integration:
\( \rm\displaystyle \frac{ {x}^{3} }{3} + 10 {x}^{2} + 100 x + \rm C\)
Answer:
\(\displaystyle \int {(x + 10)^2} \, dx = \frac{(x + 10)^3}{3} + C\)
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]: \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIndefinite IntegralsIntegration Constant CIntegration Rule [Reverse Power Rule]: \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)
U-Substitution
Step-by-step explanation:
*Note:
The answer below me is correct, but there is a simpler method to obtain the answer.
Step 1: Define
Identify
\(\displaystyle \int {(x + 10)^2} \, dx\)
Step 2: Integrate Pt. 1
Identify variables for u-substitution.
Set u: \(\displaystyle u = x + 10\)[u] Differentiate [Basic Power Rule]: \(\displaystyle du = dx\)Step 3: Integrate Pt. 2
[Integral] U-Substitution: \(\displaystyle \int {(x + 10)^2} \, dx = \int {u^2} \, du\)[Integral] Reverse Power Rule: \(\displaystyle \int {(x + 10)^2} \, dx = \frac{u^3}{3} + C\)Back-Substitute: \(\displaystyle \int {(x + 10)^2} \, dx = \frac{(x + 10)^3}{3} + C\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
If a + b = c and c= d2, then a + b =
d2 what is the property?
Answers
Answer:
It should be transitive property of equality
Hope this helps :)
In hypothesis testing, the critical value is O a. the probability of a Type II error b. the same as the p-value O c. the probability of a Type I error O d. a number that establishes the boundary of the rejection region
Answers
In hypothesis testing, the critical value is option (d) a number that establishes the boundary of the rejection region
The hypothesis testing is defined as the process of collecting the data and using that as inference draw the calculation about the population parameter.
The reject region of the hypothesis testing is defined as the set of values for the test statistic for which the null hypothesis is rejected.
Therefore, the critical value is a number that establishes the boundary of the rejection region of the graph
Hence, in hypothesis testing, the critical value is option (d) a number that establishes the boundary of the rejection region
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Otis is cutting a long piece of wood trim into smaller pieces for an art project. the line plot shows the length of the smaller pieces of wood.
1/3 has 5 x
1/2 has 4 x
2/3 has 2 x
how many pieces of wood will be at least 1/2 foot in length?
Answers
The pieces of wood will be at least 1/2 foot in length and will be 6.
What is the difference between a ratio and a proportion?A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
1/3 has 5 x
1/2 has 4 x
2/3 has 2 x
Pieces that are 1/2 the length and 1/3 the length;
4 pieces with a length of 1/2 feet.
2 pieces have a length of 2.3 feet.
Pieces at least half a foot long:
⇒4 + 2 = 6
Hence, the pieces of wood are at least 1/2 foot in length and will be 6.
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Why is multicollinearity a potential problem in a multiple linear regression
a. It becomes too easy to assess the individual importance of predictors, making the b coefficients unreliable.
b. It becomes difficult to assess the collective power of predictors as it increases the levels of error in the model.
c. It becomes difficult to assess the individual importance of predictors and it increases the standard errors of the b coefficients making them unreliable.
d. It becomes difficult to assess the individual importance of predictors and it decreases the standard errors of the b coefficients making them redundant.
Answers
The correct answer is c.
Multicollinearity in multiple linear regression makes it difficult to assess the individual importance of predictors and increases the standard errors of the regression coefficients (b coefficients), making them unreliable.
Multicollinearity occurs when two or more predictors in a regression model are highly correlated with each other. This high correlation leads to redundancy in the information provided by the predictors, making it challenging to determine the unique contribution of each predictor to the dependent variable.
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Please help! (Also show work)
Tutorials :D
Answers
The five-number summary is:
Minimum: 9
First Quartile: 16.5
Median: 25.5
Third Quartile: 39
Maximum: 51
3. Range = 42
4. Interquartile range = 22.5
How to Find the Five-number Summary of a Data?Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:
1. The numbers in ordered from the smallest to the largest would be:
9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51
2. The five-number summary for the lengths in minutes would be:
Minimum value: this is the smallest lengths, which is 9First Quartile (Q1): this is the middle of the first half of the data set of the lengths in minutes, which is 16.5.Median: the median is the center of the data distribution which is 25.5.Third Quartile: this is the middle of the second half of the data set of the lengths in minutes, which is 39.Maximum: this is the largest length in minutes, which is, 51.3. Range of the data = max - min = 51 - 9 = 42
4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5
Interquartile range for the data set = 22.5
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Type the correct answer in each box.
Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was
2
times the weight of the first fish, another was
2
more than
3
times the weight of the first fish, the next was
1
2
the weight of the first fish, and the last was
3
5
the weight of the first fish.
Bridget’s dad caught four fish. The first fish he caught weighed
2
more than
3
times the weight of the first fish caught that day.
One fish weighed
4
5
the weight of the first fish caught that day, one weighed
4
more than
2
times the weight of the first fish caught that day, and the last weighed
1
2
the weight of the first fish caught that day.
Answers
Answer:
PLZZ MARK ME BRAINLIEST..!
Step-by-step explanation:
Bridgets fish: f , 2f, 3f+2 , 1/2f, 3/5f
Add for total weight: 7 1/10 f +2
Dads fish: 3f+2, 4/5f, 2f+4, 1/2f
Add for total weight: 6 3/10f +6
set the 2 total weights equal:
6 3/10f +6 = 7 1/10f +2
Subtract 6 3/10f from each side:
6 = 8/10f + 2
Subtract 2 from each side:
4 = 8/10f
Divide both sides by 8/10:
f = 5
Bridget's first fish weighed 5 ounces.
Dads first fish weighed: 2 more than 3 times :3(5) + 2 = 15 +2 = 17 ounces.
El granjero George está pintando 3 gallineros. Empezó a pintar esta mañana. Para esta tarde solo le falta pintar
1 3/4 de los gallineros
¿Cuántos gallineros pintó el granjero George esta mañana?
Answers
Answer:
1 1/4
Step-by-step explanation:
3 - 1 = 2
2 - 3/4 = 1 1/4
There are (49)^5 ⋅ 4^0 books at the library. What is the total number of books at the library?
Answers
Answer:
the answer should be 1,310,720
Step-by-step explanation:
Choose an Excel function such as VALUE, Paste Special, or Range Names and provide a specific application of this function and how you would use it to analyze and solve a business problem in your current position, past position, or a future position.
Answers
The Excel function "PivotTable" is a powerful tool that can be used to analyze and solve business problems. It allows users to summarize and organize large datasets, providing valuable insights and facilitating decision-making. This function can be particularly useful in roles that involve data analysis, reporting, and decision support.
As a data analyst in a retail company, I have used the PivotTable function to analyze sales data and identify trends and patterns. By creating a PivotTable, I could summarize the sales data by various dimensions such as product category, region, and time period. This allowed me to quickly generate reports and answer key business questions, such as identifying the top-selling products, comparing sales performance across different regions, and analyzing sales trends over time.
Furthermore, PivotTables offer flexibility in exploring data. They allow users to easily filter, sort, and drill down into the data to gain deeper insights. With the use of PivotTable features like calculated fields and calculated items, I could perform additional calculations and derive meaningful metrics such as average sales per region or year-over-year growth rates.
In summary, the PivotTable function in Excel is a valuable tool for analyzing and solving business problems by providing a flexible and interactive way to summarize and explore large datasets. It enables data-driven decision-making and supports various roles such as data analysts, business analysts, and financial analysts in gaining insights and making informed decisions.
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7+5-3*2(6*7)/4
• convert the above specified infix expression into
postfix expression
• Evaluate the resulted postfix expression
• convert the specified infix expression into prefix
expres
Answers
The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".
To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.
The postfix expression for the given infix expression is:
"7 5 + 3 2 * 6 7 * 2 * - 4 /"
To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.
Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.
We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.
To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.
The prefix expression for the given infix expression is:
"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"
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I neee help plz
Solve by factoring.
5c^2 - 31c= 28
The solution is c=
(Simplify your answer.
Answers
the answer is,
\(c(5c - 31)\)
monica's rectangular living room is 12 ft. by 15 ft. She has a square rug that covers 5/9 of the area of the floor. What is the side length of the square rug in feet?
Answers
The side length of the square rug is approximately 8.16 feet.
The area of Monica's rectangular living room is given by length multiplied by width, which is 12 ft. * 15 ft. = 180 sq. ft.
The rug covers 5/9 of the floor area, so we can calculate the area of the rug by multiplying the floor area by 5/9:
Rug area = (5/9) * 180 sq. ft. = 100 sq. ft.
Since the rug is square, we can find the side length by taking the square root of the area:
Side length of the rug = √(100 sq. ft.) = √100 = 10 ft.
Therefore, the side length of the square rug is 10 feet.
Note that the square root of 100 is a whole number, but the rug only covers 5/9 of the floor area. To find the side length of the rug that covers 5/9 of the floor, we need to take the square root of 100 multiplied by 5/9:
Side length of the square rug = √(100 sq. ft. 5/9) = √(500/9) ≈ 8.16 ft.
Therefore, the side length of the square rug is approximately 8.16 feet.
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y= 2? + 16x + 64
1. Identify a, b, and c
b=
C=
Answers
ask a tutor for help with that my dude I don't know sorry
what are the cartesian coordinates x and y of the complex number = 2 3x iy = e2 3i ? (use symbolic notation and fractions where needed.)
Answers
From the given information, the Cartesian coordinates of the complex number are x = 0 and y = -2.
To find the Cartesian coordinates x and y of the complex number, we need to convert the complex number from polar form to rectangular form.
We are given that:
r = 2
θ = 3π/2 (since e^(iθ) = e^(i(3π/2)) = -i)
Using the conversion formula, we have:
x = r cos(θ) = 2 cos(3π/2) = 0
y = r sin(θ) = 2 sin(3π/2) = -2
In symbolic notation, we can write the complex number as
2e^(3πi/2) = 2(cos(3π/2) + i sin(3π/2)) = 2i
So the complex number is equal to 2i in rectangular form.
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According to deterrence theory, if the probability of arrest, conviction, and sanctioning could be increased, crime rates should:
Answers
To deterrence theory, if the probability of arrest, conviction, and sanctioning could be increased, crime rates should go down.
Deterrence is one of the goals of sentencing, and it works to stop crime by setting an example for others by punishing offenders. While specific deterrence aims to stop a specific offender from committing more crimes, general deterrence is focused on preventing crime among the general populace.
According to deterrence theory, if the probability of arrest, conviction, and sanctioning could be increased
The prospect of punishment can persuade rational criminals that crime does not pay; methods of this notion include the death penalty, mandatory sentences, and vigorous police. Fear of the repercussions of crime will dissuade potential offenders.
Therefore, to deterrence theory, if the probability of arrest, conviction, and sanctioning could be increased, crime rates should go down.
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a person normally cost 1195 is on sale for 15% off if you only have a $10 bill do you have enough to purchase the book
Answers
Answer:
no
Step-by-step explanation:
First determine the discount
11.95 * 15%
11.95 *.15
1.79
Subtract the discount
11.95-1.79
10.16
You do not have enough money with a 10 dollar bill
Help, please!!! What is the mN?
Answers
Answer:
61°
Step-by-step explanation:
Given:
∆MNO,
Side MO (n) = 18
MN (o) = 6
m<O = 17°
Required:
m<N
Solution:
Using the sine rule, \( \frac{sin N}{n} = \frac{sin O}{o} \) , solve for N.
Plug in the values of M, n, and m
\( \frac{sin N}{18} = \frac{sin 17}{6} \)
Cross multiply
\( 6*sin(N) = sin(17)*18 \)
\( 6*sin(N) = 0.292*18 \)
Divide both sides by 6
\( \frac{6*sin N}{6} = \frac{0.292*18}{6} \)
\( sin N = \frac{0.292*18}{6} \)
\( sin N = \frac{5.256}{6} \)
\( sin N = 0.876 \)
\( N = sin^-1(0.876) \)
\( N = 61.16 \)
m<N ≈ 61°
Which of the following is a polynomial?
Answers
Answer:
i think option d is the correct answer of this question.
7
(a) Olivia deposits $8600 in a bank. The interest rate is 2.6% per annum.
Find the total interest she will earn in 4 years.
Answers
Answer:
Below in bold.
Step-by-step explanation:
You do not say if the interest is simple or compound.
Simple Interest: I = PRT/100
= (8600* 2.6 * 4)/ 100
= $894.40.
Compound Interest:- amount after 4 years
= 8600(1 + 0.026)^4
= $9529.89
So the compound interest
= 9529.89 - 8600
= $929.89.
A certain county is 25% African American. Suppose a researcher is looking at jury pools, each with 200 members, in this county. The null hypothesis is that the probability of an African American being selected into the jury pool is 25%. a. How many African Americans would the researcher expect on a jury pool of 200 people if the null hypothesis is true? b. Suppose pool A contains 17 African American people out of 200, and pool B contains 39 African American people out of 200. Which will have a smaller p-value and why?
Answers
Answer: a. 50 African Americans
b. Pool B will have a smaller p-value because that pool's number of AA people is further from the hypothesized number of AA people.
Step-by-step explanation:
build an avl tree from the following values, which value(s) are identified as an alpha node? 35, 49, 22, 27, 64, 60
Answers
TheThe AVL tree built from the given values (which are 35, 49, 22, 27, 64, 60) is identified as an alpha node at value 49.
To build an AVL tree, we start by inserting the values in the order given: 35, 49, 22, 27, 64, 60. As we insert the values, the AVL tree automatically balances itself to maintain the AVL property. After inserting all the values, the resulting AVL tree would have nodes for each value.
Among these values, the alpha node is identified as the node with the value 49. The alpha node is a special node in the AVL tree that may require additional balancing operations to maintain the balance factor. In this case, the value 49 is identified as the alpha node in the constructed AVL tree.
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help me with this please and thank you
Answers
Answer:
4, 1, 2, 3
Step-by-step explanation:
let x = cost of 1 bar
cost of 75 bars = $65
cost of one bar => 75/75 = $65/75
x = $0.87
Answer:
4. c = $0.97 rounded to the nearest hundredth
1. Let c = cost of one bar
\(\textsf{2.} \quad 75c=\$65\)
\(\textsf{3.} \quad \dfrac{75}{75}c=\dfrac{\$65}{75}\)
Step-by-step explanation:
Step 1
Define the variable:
Let c = cost of one barStep 2
Given that one box of 75 Toblerone chocolate bars costs $65:
\(75c=\$65\)Step 3
To find the cost of one Toblerone chocolate bar, divide both sides of the equation by 75:
\(\dfrac{75}{75}c=\dfrac{\$65}{75}\)Step 4
Simplify both sides of the equation and round the solution to the nearest hundredth:
c = $0.97 rounded to the nearest hundredth1) MaxZ=5x1+6x2
Subject to: 17×1+8×2≤136
3×1+4×2≤36
x1,x2≥0
What is the optimal solution?
A) x1 = 5, x2 = 5.25, Z = 56.5 B) x1 = 4.63, x2 = 5.81, Z =58.01
C) x1 = 4, x2 = 6, Z = 56 D) D) x1 = 5.81, x2 = 4.63, Z = 56.91
2) MaxZ=5x1+6x2
Subject to: 17×1+8×2≤136
3×1+4×2≤36
x1,x2≥0 and integer
What is the optimal solution?
A) x1 = 5, x2 = 5, Z = 55 B) x1 = 4, x2 = 6, Z = 56
C) x1 = 1, x2 = 1, Z = 11 D) x1 = 5.81, x2 = 4.63, Z = 56.91
Answers
In conclusion, based on the given information, we cannot determine the optimal solution for the objective function
MaxZ = 5x1 + 6x2.
The given question is asking for the optimal solution for the objective function MaxZ = 5x1 + 6x2. We are given two options to choose from: Option C) x1 = 1, x2 = 1, Z = 11 and Option D) x1 = 5.81, x2 = 4.63, Z = 56.91.
To find the optimal solution, we need to maximize the objective function while satisfying the given constraints. However, since the question does not provide any constraints, we cannot determine the optimal solution based on the information given.
The optimal solution depends on the constraints and any additional information provided. Without this information, we cannot determine which option is correct.
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Select the three inequalities that have n = 3 in the solution set
A. n + 5 < 9
B. 13 n < 1
C. 3n + 1 >7
D. 3n > 9.5
E. n-2<5
Answers
Answer:
Its just E
I'm sorry if I'm wrong
Answer: A, C, E
Solve for all the inequalitites.
n + 5 < 9
n < 9 - 5
n < 4
∴ n = 3 is a part of the solution set.
13n < 1
n < 1/13
∴ This definitely doesn't include n = 3.
3n + 1 > 7
3n > 6
n > 2
∴ n = 3 is part of the solution because n is larger than 2.
3n > 9.5
n > 9.5 ÷ 3
n > 3.16666666
∴ n = 3 is not part of the solution set.
n - 2 < 5
n < 5 + 2
n < 7
∴ n = 3 is a part of the solution set.
Is [113 + ( −74) ]+ (−26) commutative or associative property?
Answers
Answer:
Commutative.
Associative property works on symbols instead of signs!
Answer:
associative property
Step-by-step explanation:
[a+b]+(c)=(a)+[b+c]
If we decided to decrease the size of a (8.5 in. x 11 in.) photo so that the smaller side (the height
was decreased to 5 inches, what would the new width be?
Answers
The new width is 6.5 inches
How to determine the length of the longer side?The dimension is given as:
8.5 in x 11 in
When the smaller length is decreased, we have:
8.5 in x 11 in = 5 in x Longer length
Express as ratio
8.5 in : 11 in = 5 in : Longer length
Express as fraction
8.5 in/11 in = 5 in/Longer length
This gives
Longer length = 5 in * 11 in/8.5 in
Evaluate
Longer length = 6.5 inches
Hence, the new width is 6.5 inches
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A large bag contains 7/8 pound of nails. How many 1/4-pound bags can be filled with this amount of nails?
please i need it now
Answers
Answer:
Step-by-step explanation:
7/8 divided by 1/4
7/8 x 4/1 =7/2 = 3/1/2
Three and a half bags
(−0.25x − 4) − (2.5x + 5.4)
Answers
Answer:
−2.75x−9.4 is the answer
Step-by-step explanation: