77.78%
1) Considering that this rectangle is made up of 18 squares
2) Then we can solve it by setting a proportion:
18 --------------- 100%
14 ---------------- x
Cross multiplying it, since it is a proportion we have:
18x = 1400 Divide both sides by 32
x =77.78
3) So we can say that the shaded squares represent 77.78% of the rectangle.
Find of area
So can someone explain this to be because I'm a bit confused but an extra help will do the trick
The area of the figure is 96 square inches
How to determine the areaFrom the question, we have the following parameters that can be used in our computation:
The composite figure
The area is the sum of the areas of the individual shapes that make up the figure
Using the above as a guide, we have the following:
Area = 10 * 2 + 10 * 2 + 8 * 7
Evaluate
Area = 96
Hence, the area is 96 square inches
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what is 9/16 simplyfied
How can you changee u fraction into a decimal
Please due today by 10:00
Identify and write down the keywords in the word problem. (1.) Jared and Missy are buying refreshments for their class party. Jared is buying a variety case of juice for $20. Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3. Evaluate the expression 2g + 3a when g = 4 and a = 8 to find the cost of buying 4 cartons of grape juice and 8 cartons of apple juice. What is the difference in price Missy and Jared paid? Show your work.
The cost of the 4 cartons of grape juice and 8 cartons of apple juice will be $32 and the difference is $12.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Jared and Missy are buying refreshments for their class party. Jared is buying a variety case of juice for $20. Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3.
The cost of 4 grapes and 8 apples will be,
Cost = 2g + 3a
Cost = ( 2 x 4 ) + ( 3 x 8 )
Cost = 8 + 24
Cost = $32
The difference in the price Missy and Jared paid is,
Difference = $32 - $ 20
Difference = $12
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the quotient of -100 and twice 10 is equal to -5. what is the equation
The equation that represents the quotient of -100 and twice 10 equal to -5 is; -100 ÷ 2(10) = -5
How to solve algebra expressions?The quotient of an algebraic operation is defined as a result that is obtained by dividing one quantity by another.
We are told that the quotient of -100 and twice 10 is equal to -5. Thus, we can express the given expression as;
-100 ÷ 2(10) = -5
This is because quotient means answer that is produced from dividing 2 numbers and since the product is a whole number and not a proper fraction, then it means that the larger number will be the numerator while the smaller number will be the denominator.
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John has 37 marbles for his collection. He gives 17 marbles to his friend Zach. How many marbles does he have left?
Answer:
20
I wish you good luck on your assignments.
Mr. White is renting a small truck for one week and a few additional days d. He does not have to pay a per mile fee. Evaluate the expression 460+140d to find how much he will pay for a 10-day rental.
In linear equation, the amount of money paid for the 10-day rental will be $ 1860.
What is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
The amount of money for a 10-day rental will be calculated as,
A = 460+140d
A = 460+(140 x 10)
A = 460 + 1400
A = 1860
Therefore, the amount of money paid for the 10-day rental will be $ 1860.
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the product of the sum and the difference of 8x and 4y
Answer:
4
Step-by-step explanation:
o dont really know. I dont understand the question
What is the approximate monthly payment on a 3 year loan at 10% on a principal of $5,000
Answer:
161.34
Step-by-step explanation:
Answer:
$166.66
Step-by-step explanation:
d33znuts
2. A room is shaped like a trapezoid as shown. 23 ft 28 ft 35 ft (a) What is the area of the room? Use the formula A h1b + b ). Show your work. 2 (b) Carpet costs $8.30 per square foot. How much will it cost to carpet the room? Show your work. (c) Furniture covers 25% of the floor. How many square feet of carpet are covered by furniture? Show your work.
Given:
\(\begin{gathered} \text{ Base }b_1=23\text{ ft, }b_2=35\text{ ft} \\ \text{ Height,}h=28\text{ ft} \end{gathered}\)Required: Area of the room, cost to carpet the room and square feet of carpet are covered by furniture
Explanation:
a) Plug the values into the formula
\(A=\frac{1}{2}h(b_1+b_2)\)gives
\(\begin{gathered} A=\frac{1}{2}\cdot28\cdot(23+35) \\ =812\text{ ft}^2 \end{gathered}\)Area of the room is 812 square feet.
b) Cost of carpet per square foot = $8.30
Cost to carpet the room
\(\begin{gathered} =\text{ Area of the room}\times\text{ Cost of carpet per square foot} \\ =812\times8.30 \\ =6739.6 \end{gathered}\)Cost to carpet the room is 6739.6 dollars.
c) Area of the furniture covers = 25% of Area of the room
\(\begin{gathered} =\frac{25}{100}\cdot812 \\ =203 \end{gathered}\)So, 203 square feet of carpet are covered by furniture.
Final Answer: a) Area of the room is 812 square feet.
b) Cost to carpet the room is 6739.6 dollars.
c) 203 square feet of carpet are covered by furniture.
1 is subtracted from 8 times a certain number.the result is 15.find the number
Answer:
number is 2
Step-by-step explanation:
let the number be n then 8 times the number is 8n, subtract 1 from this and
8n - 1 = 15 ( add 1 to both sides )
8n = 16 ( divide both sides by 8 )
n = 2
that is the number is 2
???????????????????????????????
Answer:
37.5
Step-by-step explanation:
150/4 divide it hope this helps
The data below shows the colors preferred by a group of people. We want to plot this on a pie chart. What will be the central angles of each of these categories?
Red=
blue=
green=
purple=
The central angles for each category are approximately: Red: 100°, Blue: 150°, Green: 50° and Purple: 60°
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To find the central angle of each category, we first need to calculate the total number of people:
Total = 20 + 30 + 10 + 12 = 72
Next, we can calculate the percentage of people who prefer each color:
Red: 20/72 = 0.278, or 27.8%
Blue: 30/72 = 0.417, or 41.7%
Green: 10/72 = 0.139, or 13.9%
Purple: 12/72 = 0.167, or 16.7%
To find the central angle for each category, we can multiply the percentage by 360°:
Red: 0.278 × 360° = 100.08°
Blue: 0.417 × 360° = 150.12°
Green: 0.139 × 360° = 50.04°
Purple: 0.167 × 360° = 60.48°
Therefore, the central angles for each category are approximately:
Red: 100°, Blue: 150°, Green: 50° and Purple: 60°
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M7|L5
Does this shape have at least 1 pair of parallel lines? 40
Has at least 1 pair of parallel lines
Does not have at least 1 pair of parallel
lines
More
Enter ✔
Answer:
Does this shape have at least 1 pair of parallel lines? 40
Has at least 1 pair of parallel lines
Does not have at least 1 pair of parallel
lines
More
PLEASE ANSWER ASAP!!Find a rational function that might have the given graph. (More than one answer might be possible.)
Answer:
The rational function that might have the given graph is \(y = - \frac{x}{(x+1)\cdot (x-1) }\).
Step-by-step explanation:
This graph shows a rational function whose numerator is a first order polynomial and denominator is a second order, due to the presence of vertical asymptotes at \(x = -1\) and \(x = 1\). The lead coefficient of the numerator must be 1, since horizontal asymptote must be \(y = 0\) and intercept must be \(0\), since \(y(0) = 0\).
Then, we conclude that a rational function that might have the graph is:
\(y = - \frac{x}{(x+1)\cdot (x-1) }\) (1)
We present the proof that given function is appropriate.
In order to start a small business, a student takes out a simple interest loan for $2000.00 for 3 months at a rate of 12.25% The amount of interest is $61.25 The future value is?
Hello!
The formula to calculate the future value is:
\(A=P\cdot(1+\frac{r}{100}\cdot t)\)As we know the values, let's replace them:
\(\begin{gathered} A=2,000\cdot(1+0.1225\cdot0.25) \\ A=2,000\cdot(1+0.030625) \\ A=2,0000\cdot1.030625 \\ A=61.25 \end{gathered}\)\(\begin{gathered} FV=i\cdot(1+(r\cdot t)) \\ FV=62.25\cdot(1+(0.1225\cdot0.25)) \\ FV=62.25\cdot(1+0.030625) \\ FV=62.25\cdot1.030625 \\ FV\cong64.156 \end{gathered}\)a rental truck company charges $25 per day plus a fee of $0.35 for every mile (m) driven. Which equation can be used to find the number of miles driven for a truck that costs a total of $42.50 to rent for one day?
A new American graduate is contemplating buying a Japanese, German, or an American car. No
matter the type of car, he plans to buy a new one at the end of 8 years.
Japanese car will cost $30,000 and have a fuel usage of 23 Miles Per gallon (mpg) for the first 2
years, and will decrease by 3% per year thereafter. Repair cost will start at $700 per year, and
increase by 3% per year. At the end of year 8, the car can be sold for $5000. Insurance cost will
be $700 for the first year, increasing by 2% per year thereafter.
Answer:
Japanese car
Step-by-step explanation:
Given
problem details in Attachment 1
Find
the most economical car
Solution
The attached spreadsheet shows the costs of repairs, insurance, and gas for each of the cars, using the cost factors described in the problem statement. (Numbers are displayed rounded to dollars.)
Mileage each year is assumed to be 150,000/8 = 18,750.
The "present value" line shows the present (year 0) value of the listed costs. The present value is the sum of values divided by 1.05^(year number). It is calculated using the spreadsheet NPV function.
The green total is the sum of present values to its right and the initial cost. The end value is subtracted after it is discounted by 1.05^8.
The Japanese car has the lowest present value.
___
The third attachment is the spreadsheet in Open Office format.
Given an integer N where 1 ≤ N ≤ 105, the task is to find the number of positive integers less than or equal to N that have an odd number of digits without leading zeros.
if N < 10 then the count of numbers will be N , if N / 10 < 10 then 9 , if
N / 100 < 10 then 9 + N – 99 , if N / 1000 < 10 then 9 + 900 , if N / 10000 < 10 then 909 + N – 9999.
in all other case 90909.
what is leading zeros?
Leading zeros are zeros that appear at the beginning of a number or numerical value. These zeros are used to align digits or to indicate the number of digits in a number, but do not affect the value of the number itself. For example, 007 and 7 are the same number but the leading zeros indicate that there are 3 digits in the number.
The above contions specifies the count of number having odd number of digits and without leading zeros.
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Omar prepared 27 kilograms of dough after working 9 hours. How much dough did Omar prepare if he worked for 10 hours? Solve using unit rates. kilograms
Answer:
30 kg of dough
Step-by-step explanation:
you have to figure out how much dough he made in an hour. so divide the total hours by to the amount of dough. you then multiple the total hours by the amount of dough per hour.
27/9=3
3*10= 30
What is the length of the added metal bar?
Answer:
rad 29
Step-by-step explanation:
diagonal is 16+4=20 so \(\sqrt{20}\)
3 and rad20 you will have 20 +9=29
answer is \(\sqrt{29}\)
The coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)
The perimeter and area of the square are; 24√2 units and 12 units² respectively
Given the coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)
But since we have the midpoints of all the sides, we can assume they're equidistant from one another since the figure is a square.
SQ = √(x₂ - x₁)² + (y₂ - y₁)²
SQ = √(2 - (-4)² + (5 - 11)²
SQ = 6√2
Let's find QU
QU = √(-4 - 2)² + (-1 - 5)²
QU = 6√2
Let's find UA ;
UA = √(-10 - (-4))² - (5 - (-1)²
UA = 6√2
And the distance AS = 6√2
The perimeter of the square = 4 (6√2)
Perimeter = 24√2 units
The area of the square = l²
Area of the square = (6√2)²
Area of square = 12 units²
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slope = 5; y-intercept = -1
Answer: y=5x-1
Step-by-step explanation:
y=mx+b is the slope-intercept form
m = slope
b - y-intercept
So:
y=5x-1
The area of lawn, a, in square feet Talisha had mowed in thours is
shown in the table below. Choose the most appropriate scale for
graphing this data set.
The most appropriate scale for graphing this data set. is (a) t ones and a fitties
How to detemine the appropriate scaleFrom the question, we have the following parameters that can be used in our computation:
The table of values
From the table of values, we have
x-values = t: This values are in units
y-values = a: These values can be approximated to fifties
Hence, the most appropriate scale is (a)
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LISTEN
Cal jogs from 10:28 AM until 11:15 AM. For about how long does Cal jog?
Answer:
47 minutes
Step-by-step explanation:
In elapsed time, it's better to make your problem more readable so it's easier to solve. Add 2 minutes into 10:28 so it turns into 10:30. Then add 30 minutes so it turns into 11:00 AM. Finally, add 15 minutes so it turns into the 11:15 you were looking for. When you combine the minutes allotted (2, 30, and 15) you get 47 minutes.
What is the answer to this question
A sales team estimates that the number of new phones will sell is a function of the price that it sets. It estimates that if it sets the price at x dollars, it will sell f(x)=3,776-4x phones. Therefore, the company's revenues is x*(3776-4x).
Answer:
Revenue = 3,776x-4x^2
Step-by-step explanation:
Revenue is given by = price of product * no. of units of product sold.
Given
price of 1 phone = $x
No. of phone sold = 3,776-4x
Revenue = price of 1 phone*No. of phone sold = x*(3,776-4x)
= 3,776x-4x^2
Thus, given statement is true.
Daniel and his three friends are sharing the cost of a pizza. The pizza costs $13.00. If Daniel has
$5.00, how much will he have left after he pays his share?
Answer: 1.75
Step-by-step explanation:
13/4 = 3.25
5.00-3.25
1.75
PLEASE HELP! Find missing side lengths of B and C. Explain
Answer:
b=7 & c=7√2
Step-by-step explanation:
b=7 as it is an isosceles triangle
now using Pythagoras theorem,
(c)^2= (7)^2+(7)^2
⇒(c)^2= 49+49
⇒(c)^2= 98
⇒c= √98
⇒c=7√2
Answer:
b = 7c = 7√2Step-by-step explanation:
You want the missing side lengths in an isosceles right triangle with one side given as 7.
Isosceles right triangleThe two congruent acute angles tell you this right triangle is isosceles. That means sides 7 and b are the same length:
b = 7
The hypotenuse of an isosceles right triangle is √2 times the side length:
c = 7√2
__
Additional comment
You can figure the hypotenuse using the Pythagorean theorem if you haven't memorized the side relations of this "special" right triangle.
c² = 7² + b²
c² = 7² +7² = 2·7²
c = √(2·7²) = 7√2
The side length ratios for an isosceles right triangle (angles 45°-45°-90°) are 1 : 1 : √2.
The other "special" right triangle is the 30°-60°-90° triangle, which has side length ratios 1 : √3 : 2.