The solutions to the questions are
The area of the floor is 65 square feetThe perimeter of the floor is 50 feetThe total cost to buy tile and baseboards for your bathroom is $145a. Find the area of the floor.The figure represents the given parameter.
On the figure, we have the following shapes:
Rectangle 1: 7 units by 5 unitsRectangle 2: 3 units by 10 unitsThe area is calculated as
Area = Area of rectangle 1 + Area of rectangle 2
So, we have
Area = 7 * 5 + 3 * 10
Evaluate
Area = 65
Hence, the area of the floor is 65 square feet
b. Find the perimeter of the floor.On the figure, we have the following shapes:
Rectangle 1: 7 units by 5 unitsRectangle 2: 3 units by 10 unitsThe perimeter is calculated as
Perimeter = Perimeter of rectangle 1 + Perimeter of rectangle 2
So, we have
Perimeter = 2 *(7 + 5) + 2 * (3 + 10)
Evaluate
Perimeter = 50
Hence, the perimeter of the floor is 50 feet
c. Find the total cost to buy tile and baseboards for your bathroom.The total cost is calculated as
Total Cost = Cost of baseball * Area of baseball + Cost of tile * Area of tile
So, we have
Total Cost = 2 * 7 * 5 + 2.5 * 3 * 10
Evaluate
Total Cost = 145
Hence, the total cost to buy tile and baseboards for your bathroom is $145
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A person 54 inches tall is standing 13 feet from a streetlight. If the person casts a shadow 96 inches long, how tall is the streetlight?
The required height of the streetlight is 11.5 feet.
Given that,
A person 54 inches tall is standing 13 feet from a streetlight. If the person casts a shadow 96 inches long, how tall is the streetlight is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Let the
13 feet = 13 * 12 inch = 156 inches
Ratios of height and distance would be equal
54 / 96 = x / 96 + 156
54 * 252/96 = x
x = 138 inches
x = 11.5 feets
Thus, the required height of the streetlight is 11.5 feet.
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Find the actual width of a building if the model of the building is 7 cm wide by 58.7 cm long and the actual length of the building is 140.9
Answer:
16.8
Step-by-step explanation:
Set up a proportion.
w = width and l = length
I would put the length and the width of the model in the first fraction and the length of the actual building on the right.
[tex]\frac{w}{l}[/tex] =[tex]\frac{w}{l}[/tex]
[tex]\frac{7}{58.7}[/tex] = [tex]\frac{w}{140.9}[/tex] Multiply both sides of the equation by 58.7 and 140.9 and you get:
140.9(7) = 58.7x
986.3 = 58.7x Divide both sides by 58.7
16.8023850085 = x I will round to the nearest tenths' place
16.8
Which is greater, 1/10 or 0.009?
663 divided by 51 step by step
Answer:13
Step-by-step explanation:51 goes into 66 one time so 66-51=15
then 153/51=3 so 13
Step-by-step explanation:
51 goes into 66 one time so 66-51= 15 then 153/51 = 3 so 13
Find the x-intercept and y-intercept from the graph below.
Answer: ur answer is the 3rd option
Step-by-step explanation:
get smart :)
Answer: the answer is c
Step-by-step explanation: i did it
How much pure acid should be mixed with 5 gallons of a 70% acid solution in order to get a 90% solution?
Answer:
You will need 10 gallons of pure acid to mix with 5 gallons of a 70% acid solution to get a 90% solution.
Step-by-step explanation:
.70(5) + x = .90(x + 5) I want to multiply both sides by 100 to clear the decimal
70(5) + 100x = 90(x + 5) Distribute the 70 and the 90
350 + 100x = 90x + 450 Subtract 90x from both sides
350 + 10x = 450 Subtract 350 from both sides
10x = 100 Divide both sides by 10
x = 10
Adventure Travel has an Adjusted Trial Balance for Year Ended December 31, 20XX with the following account balances:
DEBITS: Cash: 25,000; Accounts Receivable: 15,000; Office Supplies: 4,300; Office Equipment: 29,600
CREDITS: Accumulated depreciation - office equipment: 5,000; Salaries Payable: 2,800; Long-term notes payable: 22,200; Common Stock: 20,000; Retained Earnings: 10,260
DEBIT: Cash Dividends: 1,000
CREDITS: Fees Earned: 75,000
DEBITS: Salaries Expense: 32,800; Rent Expense: 16,800; Depreciation expense - office equipment: 3,960; Advertising expense: 4,000; Office supplies expense: 2,800.
Total Debits = 135,260; Total Credits = 135,260
You have prepared the Income Statement and the Statement of Retained Earnings, now it is time to prepare the Classified Balance Sheet.
What amount do you report for Total Liabilities? Specify as a whole number.
The amount to report for Total Liabilities of Adventure Travel is $25,000
What are total liabilities?
Total liabilities refer to the obligations of Adventure Travel which are due for payments in the short term and long-term, in essence, we are considering both current and non-current liabilities such as Salaries Payable and Long-term notes payable, the former is the current liability since it is due within one year whereas the latter is non-current liability because its repayment date is beyond one year
Total liabilities= Salaries Payable+Long-term notes payable
Salaries Payable=$2,800
Long-term notes payable=$22,200
Total liabilities=$2,800+$22,200
Total liabilities=$25,000
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can anyone tell me what 10(3-8) is in Distributive Property
Answer:
30 - 80 or -50
Step-by-step explanation:
To distribute numbers, you multiply the term outside of the parentheses with each term inside.
10(3 - 8)
10(3) - 10(8)
30 - 80
Match the solution to its expression.
Answer:
first equation is 1
second equation is 2
Let [tex]I=\int\limits^4_{-2} {x^4cos(x^5+2)} \, dx [/tex]. Use the substitution [tex]u=x^5+2[/tex] to convert [tex]I[/tex] into an equivalent integral in the variable [tex]u[/tex].
If [tex]u=x^5+2[/tex], then [tex]du=5x^4\,dx[/tex], so the integral transforms to
[tex]\displaystyle \int_{x=-2}^{x=4} x^4 \cos(x^5+2) \, dx = \frac15 \int_{u=-30}^{u=1026} \cos(u) \, du[/tex]
since
[tex]x = -2 \implies u = (-2)^5 + 2 = -32 + 2 = -30[/tex]
[tex]x=4 \implies u = 4^5 + 2 = 1024 + 2 = 1026[/tex]
Parker has a credit card that has an APR of 21.99%. If Parker’s average daily balance for the month is $742, what is the finance charge? If Parker’s balance at the end of the month is $920, what will the new balance be after including the finance charge?
The finance charge is $13.60, whereas the new balance at the end of the month is $933.60
What is the finance charge on the credit card balance?
The finance charge which is the monthly interest payable on the credit card balance is based on the average daily balance for the month, it is determined as the average daily balance for the month multiplied by the annual percentage rate(APR) divided by 12 , since the requirement is to compute one month finance charge and not for a whole year
finance charge=$742*21.99%/12
finance charge=$13.60
The new balance is the balance at the end of the month plus the finance charge
new balance=$$920+$13.60
new balance=$933.60
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Answer:
13.60
933.60
Step-by-step explanation:
To determine the finance charge, use the formula:
FinanceCharge=APR12×AverageDailyBalance
Substitute 21.99% for the APR, and $742 for the average daily balance, and calculate:
FinanceCharge=0.219912×$742=$13.60
So, the finance charge will be $13.60
Next, determine the new balance by adding the finance charge to the balance at the end of the month:
$920+$13.60=$933.60
The new balance will be $933.60
It takes Kim nine hours to paint a fence.
Sarawong can paint the same fence in ten
hours. How long would it take them if they
worked together?
Write equivalent fractions for 11/12 and 17/18
using the least common denominator.
Type the fractions, using a slash ( / ) to separate the numerator and denominator.
The equivalent fraction for [tex]\frac{11}{12}[/tex] and [tex]\frac{17}{18}[/tex] is [tex]\frac{22}{24}[/tex] and [tex]\frac{34}{36}[/tex] respectively.
What is an equivalent fraction?There are two or more fractions that are equivalent even if their numerators and denominators are different. For instance, 1/2 is the same as (or equal to) 25/50 or 500/1000. Every time, the fraction is written as "one half" in its simplest form.
The equivalent fraction for [tex]\frac{11}{12}[/tex] is -
[tex]\frac{11}{12}[/tex] × [tex]\frac{2}{2}[/tex] =[tex]\frac{22}{24}[/tex]
The equivalent fraction for 17/18 is -
[tex]\frac{17}{18}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{34}{36}[/tex]
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Simpliy. 24v^4/54v^6 PLease help me
Answer:
0.00001338081
Step-by-step explanation:
24v^4=33176v
54v^6=24794911296
33176v/24794911296v
The two v's cancel out so you have:
331776/24794911296
331776/24794911296=0.00001338081
So, your answer is 0.00001338081.
Write the rate as a fraction in simplest form.
270 robberies per 200,000 residents
Select the correct answer below and fill in the answer boxes to complete your choice.
(Simplify your answers.)
A. The rate written as a fraction in simplest form is
27/20000 is the rate as a fraction in simplest form.
In math, what is a fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.Which fraction types are there?
There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions.270 robberies per 200,000 residents in fraction form = 270/200000
= 27/20000
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which of the following is a flat surface that extends infinitely, has length and width but does not have depth
Answer:Plane
reason:i took the test and passed
A plane is a flat surface that has length and width but no depth and can extend indefinitely.
In two dimensions, a plane has no limits. It has no thickness at all. A coordinate plane is an illustration of a plane. In the coordinate plane, a type of geometric plane, we plot points. A number line that runs up and down forever and one that runs from left to right indefinitely both exist on the coordinate plane. There are many different kinds of planes, including intersecting and parallel ones. In cursive writing, the upper case letter P stands for a plane.
What kinds of planar geometry are there?Flat forms are also known as plane geometric figures, which include 2-dimensional shapes including squares, rectangles, triangles, and circles. Contrarily, 3-dimensional geometric forms such a cone, cube, cuboid, cylinder, etc. are used in solid geometry.
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Answer: freee points?
Step-by-step explanation: You gave the answer to your own question.
Find the sum of 3√25 and 2√4 in
simplest form. Also, determine whether
the result is rational or irrational and
explain your answer.
Answer:
simplest form. Also, determine whether
Step-by-step explanation:
can someone explain this problem step by step
12 is a multiple of 3 and 6
Two boats leave a port at the same time and travels five kilometer per hour on a bearing of 460 degrees the other travels at 9km/hr on a bearing of 127degrees how far are the apart
Step-by-step explanation:
460=100 degrees
therefore a 27 degree distance between speeds
a^2=b^2+c^2-2bc cos A
a^2=9^2+5^2-2(5)(9)cos 27
=45.8
a=6.77 km/h away
I think you wrote 460 wrong also you can't calculate distance if you don't have the time they have travelled for so I gave you a speed.
Jane decided that she would spend the rest of her money on taffy about how many pounds of taffy did jade purchase
The accountant for Jean’s Dress Shop prepared the following cash budget. Jean’s desires to maintain a cash cushion of $10,000 at the end of each month. Funds are assumed to be borrowed and repaid on the last day of each month. Interest is charged at the rate of 1 percent per month.
The completion of Jean's Dress Shop's cash budgets for the following months is as follows:
Cash Budget July August September
Section 1: Cash receipts
Beginning cash balance $25,000 $10,000 $10,000
Add cash receipts 90,000 100,000 120,300
Total cash available $115,000 $110,000 $130,300
Section 2: Cash payments
For inventory purchases $82,750 $70,115 $87,076
For S&A expenses 27,250 30,280 30,716
For interest expense 0 50 54.45
Total budgeted disbursements $110,000 $100,445 $117,846.45
Section 3: Financing activities
Surplus (shortage) $5,000 $9,555 $12,453.55
Borrowing (repayments) 5,000 455 ($2,453.55)
Ending cash balance $10,000 $10,000 $10,000
What is the Cash Budget?The Cash Budget is an estimate of an entity's cash flows (cash outflows and cash inflows) over a specific period.
The Cash Budget can be prepared monthly, quarterly, semi-annually, or yearly.
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Question Completion:Complete the cash budget by filling in the missing amounts.
Cash Budget July August September
Section 1: Cash receipts
Beginning cash balance $25,000
Add cash receipts 90,000 100,000 120,300
Total cash available $115,000 $
Section 2: Cash payments
For inventory purchases $82,750 $70,115 $87,076
For S&A expenses 27,250 30,280 30,716
For interest expense 0
Total budgeted disbursements $110,000
Section 3: Financing activities
Surplus (shortage) $5,000
Borrowing (repayments) 5,000
Ending cash balance $10,000 $10,000 $10,000
What is the area in square inches of the shape 2.1 and 6.8
Answer:
A=7.14
that is the correct answer for this question
William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500 miles this month. Who travels more miles per day for this month? Explain.
Answer:
Step-by-step explanation:
Select the coordinates of point X on AB that is 1/5 of the distance from A to B
Please help it due soon
A) (3,5, -2.2)
B) (-3.6,2,2)
C) (-3.6,-2.2)
D)(3.6,2.2)
Answer:
c
Step-by-step explanation:
A company orders 13 boxed lunches from a deli for $107.25. If each boxed lunch costs the same amount, how much do 19 boxed lunches cost?
At the movie theatre, child admission is $5.80 and adult admission is $9.30 . On Wednesday, 122 tickets were sold for a total sales of $893.10 . How many child tickets were sold that day?
The number of child ticket sold on that day is 69.
How to find the number of ticket sold using variables?At the movie theatre, child admission is $5.80 and adult admission is $9.30 . On Wednesday, 122 tickets were sold for a total sales of $893.10 .
Therefore,
let use variables to represents the number of child and adult tickets sold.
let
variable x = number of child ticket sold
variable y = number of adult tickets sold
Therefore,
5.80x + 9.30y = 893.10
x + y = 122
multiply equation(ii) by 5.80
5.80x + 9.30y = 893.10
5.80x + 5.80y = 707.6
3.5y = 185.5
y = 185.5 / 3.5
y = 53
Therefore,
x = 122 - 53
x = 69
Hence, the number of child ticket sold on that day is 69.
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Tony, Ali, and Natasha have volunteered to bring chips to a barbecue. Tony is bringing 2 bags, Ali is bringing 3 bags and Natasha is bringing 1 bag. What fraction of the total number of bags of chips is Ali bringing?
The fraction is the value of an amount ranging from 0 to 1 so Ali's fraction is 1/2.
What is a fraction?The fraction is the division of the two numbers but the division is not wholly complete.
The upper word is called numerator while the lower term is called the denominator.
Given that,
Tony is bringing 2 bags, Ali is bringing 3 bags and Natasha is bringing 1 bag.
Number of total bags = 2 + 3 + 1
⇒ 6
The number of bags that Ali brought = 3 bags.
Fraction of bag's that Ali brought = The number of bags that Ali brought / Number of total bags
⇒ 3/6 = 1/2
Hence "The fraction is the value of an amount ranging from 0 to 1 so Ali's fraction is 1/2".
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What is the point-slope form of the line with slope
2
5
that passes through the point
-
4
,
-
7
?
The equation, in point-slope form, matches the graphed line is y + 7= 2/5(x - 4)
How to determine what equation, in point-slope form, matches the graphed line?The point on the line is given as
Point = (4, -7)
The slope (m) of the line is given as
m = 2/5
The linear equation is then represented as
y - y1 = m(x - x1)
So, we have
y + 7= 2/5(x - 4)
Hence, the equation, in point-slope form, matches the graphed line is y + 7= 2/5(x - 4)
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Julia bought a blouse for $18.25 and a skirt for $22.40. If she received a 10% discount for the skirt and the sales tax rate is 7.25%, how many dollars did she pay?
well, let's take a looksie, hmmm she got the skirt for 22.40, but but but, she got a discount of 10% on that hmmm how much will that be?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 22.40}}{\left( \cfrac{10}{100} \right)22.40}\implies 2.24~\hfill \underset{\textit{sale price for the skirt}}{\stackrel{22.40~~ - ~~2.24}{20.16}}[/tex]
so now, if we add the price of her blouse that'd be a total of 18.25 + 20.16 = 38.41, from that she paid a tax of 7.25%, so
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7.25\% of 38.41}}{\left( \cfrac{7.25}{100} \right)38.41} ~~ \approx ~~ 2.78~\hfill \underset{final~price}{\stackrel{38.41~~ + ~~2.78}{\approx \text{\LARGE 41.19}}}[/tex]