Answer:
[tex] \boxed{ \sf{length \: of \: a \: rectangle = 21 \: in.}}[/tex]
[tex] \boxed{ \sf{width \: of \: a \: rectangle = 10.5 \: in.}}[/tex]
Step-by-step explanation:
Let the length of a rectangle be ' l '
Width of a rectangle ( w ) = [tex] \sf{ \frac{1}{2} l}[/tex]
Perimeter of a rectangle ( P ) = 63 in.
First, finding the length of a rectangle ( l )
[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + b)}} \:[/tex]
[tex] \dashrightarrow{ \sf{63 = 2(l + \frac{1}{2} l}})[/tex]
Distribute 2 through the parentheses
[tex] \dashrightarrow{ \sf{63 = 2l + 2 \times \frac{1}{2} l}}[/tex]
[tex] \dashrightarrow{ \sf{63 = 2l + l}}[/tex]
Add the like terms : 2l and 3l
[tex] \dashrightarrow{ \sf{63 = 3l}}[/tex]
Swap the sides of the equation
[tex] \dashrightarrow {\sf{3l = 63}}[/tex]
Divide both sides by 3
[tex] \dashrightarrow{ \sf{ \frac{3l}{3} = \frac{63}{3}}} [/tex]
Calculate
[tex] \dashrightarrow{ \sf{l = 21 \: in.}}[/tex]
Length of a rectangle = 21 in.
Now, replacing / substituting the value of l in 1/2 l in order to find the width of a rectangle
[tex] \dashrightarrow{ \sf{width = \frac{1}{2} l}}[/tex]
[tex] \dashrightarrow{ \sf{width = \frac{1}{2} \times 21}}[/tex]
[tex] \dashrightarrow{ \sf{width = 10.5 \: in.}}[/tex]
Width of a rectangle = 10.5 in.
Hope I helped!
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Find all values if x , where |x| = 14
Answer: x=-14, x=14
Step-by-step explanation:
The absolute value makes all the values turn from negative to positive. With absolute value, you will not have a negative response. Therefore, x=-14 and x=14.
8 plus 78 oooooooooooooooooooooooooooooooooooooooooooooo
Answer:
86 ✌️
Step-by-step explanation:
just get a calculator
Plz help asap In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.
Answer:
Harry is 2, Jim is 6
Step-by-step explanation:
The first statement tells us they are 4 years part. Then you need to find two numbers that are 4 apart and that has one that is half the other, like 4 and 8. Finally, subtract two because this will happen in two years and you need their ages now.
Sorry if this was confusing.
Solve for n. 2n − 35=5
Answer:
n = 20
Step-by-step explanation:
2n − 35 = 5
find: n
2n = 5 + 35
n = 40 / 2
n = 20
a/b=c for b helppppp
Answer:
Step-by-step explanation:
A/b = c for b
A/b = c
A = bc
bc = A
b = A/c
Answer:
See below
Step-by-step explanation:
[tex]\frac{A}{b}=c\\\frac{A}{b} * b = c * b\\ A = c * b\\\frac{A}{c} = \frac{c*b}{c}\\\frac{A}{c} = b\\ b =\frac{A}{c}[/tex]
An environmental study of a certain community suggests that t years from now, the average level of carbon monoxide in the air will be Q(t)=0.05t^2 + 0.1t + 3.4 parts per million. By approximately how much will the carbon monoxide lvel change during the coming 6 months?
Answer:
3.4625
Step-by-step explanation:
Given the equation:
Q(t)=0.05t^2 + 0.1t + 3.4 parts per million
Where t = time in years
By approximately how much will the carbon monoxide lvel change during the coming 6 months?
t = 6 months = 6/12 = 0.5 year
Q(0.5) = 0.05(0.5)^2 + 0.1(0.5) + 3.4 parts per million
Q(0.5) = 0.05(0.25) + 0.05 + 3.4
Q(0.5) = 0.0125 + 0.05 + 3.4
Q = 3.4625
Carbon monoxide level will change by approximately 3.4625 parts per million in 6 months
i have trouble dividing
Answer:
I'm Sorry, do you have a question you need help with?
Step-by-step explanation:
When you SWITCH the HYPOTHESIS and the CONCLUSION you create the _________ statement.
Answer:
CONVERSE
Step-by-step explanation:
When you switch hypothesis and conclusion you are creating what is called the CONVERSE statement.
consider the functions show. Explain the graph of a function its inverse are reflections over the line y = x
Answer:The ordered pairs (a,b) of a function are (b,a) for the inverse function.
Step-by-step explanation:
Answer:
(a,b)/(b,a)
Step-by-step explanation:
A manufacturing company uses three measuring tools to
measure lengths. The tools are tested using a standard
unit exactly 7 cm long. The results are as follows.
a. Which tool gives the most precise measurement?
Precision is how detailed a measurement is.
7.033 has 3 digits after the decimal point
6.91 has 2 digits after the decimal point
7.1 has a single digit after the decimal point.
Since 7.033 has the most digits after the decimal point, it is more precise than the others.
Cristina held a raffle in which each ticket had a cost of 500 pesos. She sold all the tickets but 5 of her friends didn't pay for them immediately, they will pay for them later. How much money do her friends owe Cristina?
Answer:
$100 each.
Step-by-step explanation:
500 divided by 5 = 100
Pls help!!!
Find the solution set of the inequality with the given replacement set:
20x - 4 > 24, x = {0, 1, 2, 3}
Answer:
{2,3}
Step-by-step explanation:
as when we solve we will get 7/5
that is 1.5
and x > 1.5
so answer is 2 and 3
plz mark as brainliest if it helps
The length of a rectangle is 4 yd longer than its width. If the perimeter of the rectangle is 40 yd, find its area.
Answer:
96
Step-by-step explanation:
Vertical; through (0,2). Write an equation
Answer:
The line is x =0
Step-by-step explanation:
Vertical lines are of the form
x =
The value of x in the point ( 0,2) is x =0
The line is x =0
Since we are working with a vertical line, we use the equation "x =" and use the x value in the point.
x = 0
Best of Luck!
find the square root of each number . if the number is not a perfect square, estimate the squarer root to the nearest integer. 169, 24, 15, 40
Answer:
169 is 13^2
24 is 2(squareroot)6
15 is (squareroot)15
40 is 2(squareroot)10
Step-by-step explanation:
169 is 13^2
24 is 2(squareroot)6
15 is (squareroot)15
40 is 2(squareroot)10
Question: Determine what the constant, coefficient, and variable are in the expression 7-25f.
Answer:
see below
Step-by-step explanation:
Given:
Binomial 7 - 25f
7 = constant, it is a number as a term25 = coefficient, it is a number which is multiplied by a letter (variable)f = variable, which is normally identified as a letter, it is degree oneWhat is the value of -3.5
Answer:
[tex]3.5[/tex]
Step-by-step explanation:
The value of [tex]|-3.5|[/tex] is [tex]3.5[/tex], because you have [tex]|-3.5|[/tex] and it will change to [tex]3.5[/tex] by the absolute value, which it turned from negative to a positive.
Favorite type of music, choose the correct level of measurement
Answer:
The answer is "Nominal"
Step-by-step explanation:
Some of the data is missing which is defined in the attached file. please find it.
The standard measuring degree is nominal for the favorite type of music because the type of music it can be listening for depends on a variety of factors, like age, social or local environment, etc, and the wrong choice can be defined as follows:
It is wrong because the Ordinal does have a nominal or measuring element, however, the name system allows a ranked or a specific series of variables for all the variables to also be organized. The ratio has the structure infections rate property, as well as the quantities ranges of the variable, provide value, that's why it is incorrect. It is wrong because the internal has the property of ordinal level rate as well as the vector values have significance.The Jurassic period began approximately 200 million years ago. Approximate how many minutes have passed since the beginning of this period to the present day?
Answer:
Step-by-step explanation:
The exact result is 1.0518984 x 1011 Minutes
(sorry if this doesn't make much sense)
The required number of minutes have passed from the beginning of this period to the present day is 1.0512 * [tex]10^{14}[/tex] minutes
Given that,
The Jurassic period began approximately 200 million years ago. Approximate how many minutes have passed from the beginning of this period to the present day is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
200 million = 200 * [tex]10^6[/tex]
Now,
200 * [tex]10^6[/tex] year = 200 * [tex]10^6[/tex] * 365 days
200 * [tex]10^6[/tex] * 365 days = 200 * [tex]10^6[/tex] * 365 * 24 hours
200 * [tex]10^6[/tex] * 365 * 24 hours = 200 * [tex]10^6[/tex] * 365 * 24 * 60 minutes
= 1.0512 * [tex]10^{14}[/tex] minutes
Thus, the required minutes that have passed from the beginning of this period to the present day is 1.0512 * [tex]10^{14}[/tex] minutes.
Learn more about arithmetic here:
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What is 4 divided by 6
Answer:
0.666
Step-by-step explanation:
Answer: 0.6667
Shouldnt the 6 be divided by 4? If it is its 1.5
Step-by-step explanation:
If there were 18 boys at a leadership camp, how many girls were at that leadership camp
Answer:
0
Step-by-step explanation:
h e l p !!
is this table a linear function?
Answer:
Yes
Step-by-step explanation:
what is 3/5 as a percent
Answer:60%
Step-by-step explanation:
3 divided by 5 ten times by 100 and you get 60%
Dana saved 450 for food for her upcoming vacation. The breakfast was included with their hotel, but lunch and dinner are not. When Dana cooks lunch or dinner it costs on average 10 . When the family goes to a restaurant for lunch or dinner it costs on average 40 . Let c represent meals that Dana cooks and let r represent meals the family goes to restaurants for. Write an inequality to represent the situation.
Answer:
[tex]10d + 40r \leq 450[/tex]
Step-by-step explanation:
Given
[tex]Savings = 450[/tex]
[tex]Dana\ Cooks, d = 10[/tex]
[tex]Restaurant, r = 40[/tex]
Required
Represent this as an inequality
When Dana cooks;
[tex]Cost\ per\ meal = 10[/tex]
[tex]Cost\ per\ d\ meals = d * 10[/tex]
[tex]Cost\ per\ d\ meals = 10d[/tex]
At Restaurant
[tex]Cost\ per\ meal = 40[/tex]
[tex]Cost\ per\ r\ meals = 40 * r[/tex]
[tex]Cost\ per\ r\ meals = 40 r[/tex]
Add these two results:
[tex]Result = 10d + 40r[/tex]
To represent as an inequality, the above result must be less than or equal to Dana's total savings
i.e.
[tex]10d + 40r \leq 450[/tex]
how do you compute overtime pay?
198,500 round to ten thousand
Answer:
200,000
Step-by-step explanation:
Find the volume of the prism.
Please help hurry
14 ft
32 ft
3 ft
V = 12 ft
Write your answer as a mixed number that is simplified
completely, Enter the number that goes in the green box
Enter
7/9-2n+1/9 simplify the fraction please help!
Answer: -2*(9n-4)/9
Step-by-step explanation: The -2*(9n-4) is over the 9
A florist has 49 red roses and 63 white roses. The florist wants to put an equal number of red roses in each centerpiece, along with an equal number of white roses in each, using all the flowers. What is the greatest number of centerpieces the florist can make, and how many of each flower will they have?
Number of red roses a florist has = 49
Number of white roses a florist has = 63
To find the number of centerpieces with equal number of white and red roses we will find the greatest common factor of both the numbers,
49 = [tex]7\times 7[/tex]
63 = [tex]7\times 9[/tex]
GCF of 49 and 63 = 7
Therefore, number of centerpieces = 7
Now divide the total number of red roses by GCF to find the number of red flowers in each centerpiece.
Number of red roses in each centerpiece = 7
Similarly, number of white roses in each centerpiece = 9
Learn more,
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please help, will give brainiest