5. Gaur Grandeur is a society which has a garden of length 45 5/7 m and breadth 16 3/4m. Find area of garden
Step-by-step explanation:
Here,
given length= 45 5/7 m( mixed fraction)
= 320/7 m( simple fraction)
similar breadth= 16 3/4 m
= 67/4 m
Now,
Area= length* breadth
= 320/7 * 67/4
=5360/7 m²
Step-by-step explanation:
I guess this means the garden is a rectangle.
the area is
length × breadth (or width or ...)
so,
45 5/7 × 16 3/4 =
= (45×7 + 5)/7 × (16×4 + 3)/4 =
= 320/7 × 67/4 = 320×67 / 7×4 = 80×67 / 7 =
= 5360/7 = 765 5/7 m²
How would you graph y-intercept is 8 and x-intercept is 9
Answer:
all shown below
Step-by-step explanation:
y-intercept means a dot's y coordinate is 8 and on the y axis, x-i intercept means a dot's x coordinate is 9 and on the x axis
Answer:
see the attached graph
Step-by-step explanation:
The intercepts are the points where a graph crosses the coordinate axes.
Y-interceptThe y-intercept is the the point where the graph crosses the y-axis. The value of x is zero there. The coordinates of the y-intercept are (0, 8).
X-interceptThe x-intercept is the point where the graph crosses the x-axis. The value of y is zero there. The coordinates of the x-intercept are (9, 0).
You graph these intercepts by plotting the points at these coordinates.
__
In the attached graph, the intercepts are blue dots, and we have drawn a line through them. The line is not part of the graph of the intercepts. It is merely an instance of a function that has these intercepts.
32 randomly picked people were asked if they rented or owned their own home, 8 said they rented. Obtain a point estimate of the proportion of home owners.
Group of answer choices
0.250
0.600
0.750
0.200
0.500
Answer:
.750
Step-by-step explanation:
Betty wants to put new cabinets in her kitchen. She measures one side of her kitchen and finds it measures 181818 meters.
Which measurement did Betty find?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Area
(Choice B)
B
Perimeter
(Choice C)
C
Length
Answer:
lenght
Step-by-step explanation:
I think it is that because it says ONE SIDE and for area and perimeter of a square/ rectangle you need more than one side
hope it helps
Find M∠BFE.
A. 116
B. 58
C. 148
D. 164
Answer:
C
Step-by-step explanation:
57+57+34=148
A person invested $7700 for 1 year, part at 8%, part at 9%, and the remainder at 12%. The total annual income from these investments was $811. The amount of money invested at 12% was $1100 more than the amounts invested at 8% and 9% combined. Find the amount invested at each rate.
The amount invested at 8% was $1400, $1900 was invested at 9% and $4400 was invested at 12% making a total annual income of $811.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of money invested at 8%, y represent the amount of money invested at 9% and z represent the amount of money invested at 12%
x + y + z = 7700 (1)
Total interest is:
(x * 1 * 0.08) + (y * 1 * 0.09) + (z * 1 * 0.12) = total interest
0.08x + 0.09y + 0.12z = 811 (
Also:
z = 1100 + x + y (3)
From equation 1, 2 and 3:
x = 1400, y = 1900 and z = 4400
T
The amount invested at 8% was $1400, $1900 was invested at 9% and $4400 was invested at 12% making a total annual income of $811.
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What will be the firm's quick ratio after Nelson has raised the maximum amount of short-term funds? Do not round intermediate calculations. Round your answer to two decimal places.
Based on the short-term debt that Nelson raises, the firm's quick ratio will be 1.204.
What is the firm's quick ratio?First, find the maximum amount of short-term funds that Nelson can raise?
Assuming this amount is x, we can find it with the current ratio formula:
Current ratio = Current assets / Current liabilities
2 = (1,260,000 + x) / ( 450,000 + x)
x = $360,000
The quick ratio would therefore be:
= ( New Current assets - New inventory) / New current liabilities
= ( (1,260,000 + 360,000) - (285,000 + 360,000) ) / (450,000 + 360,000)
= 1.204
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2.1 If 5 + 3 = 0 and < 0, evaluate (without using a calculator):
2.1.1 22 − 1 (4)
2.1.2 2 + 2 (3)
2.1.3 1 − 2
1. 18
2.8
3.-1
What is expression?An expression is a set of terms combined using the operations +, – , x or ,/.
Given:
1. 22 − 1 (4)
=22- 1*4
= 22-4
= 18
2. 2 + 2 (3)
=2+2*3
=2+6
=8
3. 1 − 2
= -1
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An artist sells her sculptures for $250. Each piece costs her $150 to make, and she spends $11000 per year for her studio and other fixed costs. How many sculptures must she sell if she wants to make $10000 in profit
l don't know if you know it tell please
Interpret, in a written description, what the graph is saying about the relationship between the variables. A graph has time (hours) on the x-axis, and distance (miles) on the y-axis. A line increases to 2 hours, is constant through 3 hours, and then increases through 6 hours. a. You leave home and drive for 6 hours with no stops. b. You leave home, drive for 1 hours at a constant speed, stop for 30 minutes, continue at the same speed, stop for 1 hour and then continue at the same speed as before. c. You leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally you continue at a slower (but constant) speed than before. d. You leave home, drive for 3 hours at a constant speed, and then stop for 2 hours. Finally you continue at the same speed as before. Please select the best answer from the choices provided
An interpretation of the relationship between the variables in this graph is that: C. you leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally, you continue at a slower (but constant) speed than before.
What is a graph?A graph can be defined as a type of chart which is used to graphically represent the relationship between the variables in a data set, on both the horizontal and vertical lines of a cartesian coordinate i.e x-axis and y-axis.
By critically observing the graph attached in the image below, we can infer and logically deduce that an interpretation of the relationship between the variables in this graph is that you drove at a constant speed for 2 hours, and then stopped for 1 hour. Finally, you continued at a slower, but constant speed than before.
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A cabbage is worth 55 points, an apple is worth 40 points, a potato is worth 45 points and a pumpkin is worth 60 points. How many points is a cauliflower worth?
If it takes me 20 minutes to get to work while traveling at an average speed of 60 mph, but it took me 17 minutes to get to work today, what was my average speed today?
Answer:
if you are asking a real question the answer should be on your driving history on life 360 or maybe the average gps. How fast were you driving? I have no idea thats a answer only you know.
Step-by-step explanation:
Answer:
r = 70.59 miles / hour
Step-by-step explanation:
Comment
The first set of numbers gives you the distance you travelled.
Givens
t = 20 minutes = 20/60 = 1/3 of an hour
r = 60 miles / hour
d = ?
d = r * t
d = 60 * 1/3
d = 20 miles (The hours cancel)
So now you can find out what 17 minutes means
d = 20 miles
t = 17 minutes = 17/60 hours = 0.2833 hours.
r = d / t
r = 20 / 0.2833
r = 70.59 miles / hour
f: {whole numbers} → {whole numbers} Assign each whole number to its largest place value digit. For example, f(4) = 4, f(14) = 4, and f(194) = 9.
f (999)
Answer:
9
Step-by-step explanation:
Nine times the sum of a number and 3 is 6 .
Answer: -2 1/3
Step-by-step explanation:
First, change the word into equation
9*x+3=6
Do division first, so 6/9, simplify into 2/3 then subtract it by 3 which is -2 1/3
triangle ABC is isosceles, angle B is vertex angle , AB = 20x -2, AC =25x, and BC =12 x +20. Find x and the length of each side of the triangle?
Length of AB = 18. 92
Length of AC = 26. 15
Length of BC = 32. 552
How to determine the sides of the triangleUsing the Pythagorean theorem, we have that
[tex](20 x-2)^2 = (12x + 20)^2 + (25x)^2[/tex]
Expand the bracket
[tex]400x^2- 4 = 144x^2 + 400 + 625x^2[/tex]
Collect like terms
[tex]400x^2 - 144x^2 - 625x^2 = 400 + 4[/tex]
[tex]-369x^2 = 404[/tex]
Make x^2 subject
[tex]x^2 = \frac{404}{369}[/tex]
[tex]x = \sqrt{1.0948}[/tex]
[tex]x = 1. 046[/tex]
Thus,
Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92
Length of AC = 25x = 25* 1.046 = 26. 15
Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552
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Jimmy’s original account balance when he opened up his savings account was $3,450.00. In the last two years, he has made no other deposits and it has a current balance of $3,485.95. How much interest did he earn?
The interest that Jimmy's account has earned is $35.95.
What is the interest that Jimmy's account has earned?Interest is the total increase in excess of the amount deposited in the account. Interest earned can be determined by subtracting the amount deposited from the current balance.
Interest = current balance - amount deposited
$3,485.95 - $3,450.00 = $35.95
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f(x) = -3x³ + x² - 3, find f(1).
Answer:
Step-by-step explanation:
hello :
f(x) = -3x³ + x² - 3, find f(1).
f(1) = -3(1)³ +(1)² - 3=-3+1+3 = -5
You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
Since the role of young Cosette is played by a child, the Main Street Theatre company must actually cast 3 girls in the role of young Cosette, and alternate girls from night to night. (This is because of restrictions on working hours for children.) You have received headshots and resumes from 25 girls who wish to audition for young Cosette.
Does order matter when casting the 3 young Cosettes? (In other words, are young Cosette 1, young Cosette 2, and young Cosette 3 different parts?)
No, all three girls will play the same part.
Yes, even though they will all be playing the same part, it will be on different nights.
No, all three girls will get paid the same amount.
Yes, young Cosette 1, young Cosette 2, and young Cosette 3 are all different parts.
The inference based on the information about ordering is that D. Yes, young Cosette 1, young Cosette 2, and young Cosette 3 are all different parts.
What is an inference?It should be noted that a inference simply means the conclusion that can be deduced based on the information given.
In the role of young Cosette for the drama, 3 girls should be casted.
If three are being casted then there is need for different parts because for same role there may be different stages of character.
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A highway patrol officer is seated on a motorcycle on a curvy section of Highway 1. The posted speed limit is 45 miles per hour on this stretch of highway. The officer is monitoring traffic using radar. The next exit is 3.6 miles up the road. The radar picks up a speeding car averaging 68 mph. When the officer tries to start his motorcycle to follow the car, it won’t start. He tries again and again, and soon he fears that he won’t be able to catch the speeding car before it turns off the highway. Finally, his motorcycle starts and he begins the pursuit 30 seconds after the speeding car has passed him on the roadside.
How fast does the officer need to go to catch up to the speeding car? What is his average speed in pursuit?
Answer:
80.7 mph
Step-by-step explanation:
In order to catch the car at the exit, the officer must cover the distance in 30 seconds less time than the car does. The time, speed, distance relation can be used.
Time for car to reach the exitThe relation between time, speed, and distance is ...
time = distance/speed
Here, speed is in miles per hour, and distance is in miles. That means time will be given in hours by the straightforward application of this formula.
time = (3.6 mi)/(68 mi/h) = (3.6/68) h = 9/170 h
Time for the motorcycle to reach the exitThere are 3600 seconds in 1 hour, so 30 seconds represents this fraction of 1 hour:
30/3600 = 1/120
The motorcycle will have this amount of time less than the time the car takes to reach the exit, so ...
(9/170 -1/120) h = (9(120)-170)/(170×120) h = 910/20400 h = 91/2040 h
Motorcycle speedThe speed required to cover 3.6 miles in 91/2040 hours is ...
speed = distance/time
(3.6 mi)/(91/2040 h) = 3.6×2040/91 mph = 7344/91 mph ≈ 80.7 mph
The officer's average speed in pursuit must be 80.7 miles per hour (or faster).
__
Additional comment
There are other ways the problem can be worked. One of them is to consider the remaining distance the car must travel when the officer begins pursuit. That will be 3.6 mi less (1/120 h)(68 mi/h) = 17/30 miles. The ratio of the officer's speed to the car's speed will be the same as the ratio of the officer's miles to the car's miles: 3.6/(3.6 -17/30) × 68 mph ≈ 80.7 mph.
Intermediate values used in the calculations should be kept at full calculator precision. Rounding should only be done at the end. Here, the actual speed required is 80.7032967... mph, rounded down for the above result.
MATH QUESTION HELP. Hhhhnh
Answer:
y
Step-by-step explanation:
that easy just isolate the variables
PLS ANSWER THESE TWO QUESTIONS
EXPLANATION IS NOT NEEDED
MAKE SURE IT IS CORRECT
The answers to the following word problems are given below:
(C). [tex]1\frac{1}{2}[/tex](C). 0Meaning of word problemA Word problem can be defined as a mathematical problem that is given in a sentence format.
A word problem needs the student to decipher it and then translate it to a normal arithmetic problem.
In conclusion, The answers to the word problems are given
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Which represents the inverse of the function f(x) = 4x?
• h(x) = X + 4
• h(x) =x-4
O h(x) = -x
• h(x) = x
Expand. Your answer should be a polynomial in standard form. -p^2(p^2-p-1) =
Answer:
[tex]\huge\boxed{\sf -p^4+p^3+1}[/tex]
Step-by-step explanation:
Given expression:[tex]=-p^2(p^2-p-1)\\\\Distribute \\\\= -p^4+p^3+1\\\\\rule[225]{225}{2}[/tex]
(b) Write the next whole number after A59C thirteen in the base-thirteen system.
In base 13, we use the digits 0-9 along with A for 10, B for 11, and C for 12.
Then the number that comes after A59C₁₃ is
A59C₁₃ + 1₁₃ = A59(C + 1)₁₃
… = A59(10)₁₃
… = A5(9 + 1)0₁₃
… = A5A0₁₃
where I use parentheses to indicate we're adding C and 1 in the same digits place, then carry the 1 into the next digits place.
What is the solution
Answer:
4
Step-by-step explanation:
5x + 2 = 2x + 14
5x-2x=14-2
3x=12
x=12/3
x=4
Answer:
The exact form: x = 4
28 students; 14 students what is the percentage of it?
Answer:
The percentage of 28 students who are 14 students is 50%.
Step-by-step explanation:
graph y=1x. Sketch the graph below.
1. Select all phrases that fit the graph of y=1x.
curve
straight
y-intercept = 1
positive x-values
quadrant IV
quadrant III
point (1, 1)
x-intercept = 0
quadrant I
y-intercept = 0
no y-intercept
negative y-values
no x-intercept
quadrant II
x-intercept = 1
point (-1, -1)
The phrases that fit the graph of [tex]y = \sqrt x[/tex] are
curve positive x-valuespoint (1, 1) x-intercept = 0quadrant I y-intercept = 0How to select the phrasesThe equation of the function is given as:
[tex]y = \sqrt x[/tex]
Next, we plot the graph of the function (see attachment)
From the attached graph, we have the following highlights:
All points are in quadrant IThe function is a curveIt has an x-intercept of x = 0It has a y-intercept of y = 0It has only positive x valuesIt passes through (1,1)The above represents the phrases that fit the graph
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Complete questionUsing a graphing application, graph y = √x. Sketch the graph below.
Select all phrases that fit the graph of y = √x
curve straight y-intercept = 1 positive x-values
quadrant IV quadrant III point (1, 1) x-intercept = 0
quadrant I y-intercept = 0 no y-intercept negative y-values
no x-intercept quadrant II x-intercept = 1 point (-1, -1)
For a certain company, the cost for producing x items is 50x+300 and the revenue for selling x items is 90x−0.5x^2 .
Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)
Part b: Find two values of x that will create a profit of $300 .
Part c: Is it possible for the company to make a profit of $15,000 ?
a. The expression for profit is p(x) = -0.5x² + 40x - 300
b. The two values of x that will create a profit of $300 is 20 and 60
c. it is not possible for the company to make a profit of $15,000
What is profit?The profit is the selling price minus the cost price.
Therefore,
Profit = revenue - cost
a.
The expression for profit is as follows;
p(x) = 90x − 0.5x² - (50x + 300)
p(x) = 90x − 0.5x² - 50x - 300
p(x) = -0.5x² + 40x - 300
b.
The two values of x that will create a profit of $300 is as follows;
-0.5x² + 40x - 300 = 300
-0.5x² + 40x - 600 = 0
0.5x² - 40x + 600 = 0
x² - 80x + 1200 = 0
(x - 20)(x - 60) = 0
x = 20 and 60
Therefore, the two value of x are 20 and 60
c.
-0.5x² + 40x - 300 = 15000
-0.5x² + 40x - 300 - 15000 = 0
-0.5x² + 40x - 15300 = 0
x² - 80x + 30600 = 0
There is no real solution. Therefore, it is not possible for the company to make a profit of $15,000
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If we run the following program:
a = 2 + 6
b = 7 % 3
c = a - b
c = c * 5
print(c)
what gets printed?
If you run the program and print(c), your result will be: c = 35
Meaning of ProgramA program can be defined in terms of arithmetical functions as a set of instructions that are used to arrive at a solution.
A program guides the computer system on what the user wants.
Analysis
a = 2 + 6 = 8
b = 7 % 3 = 1
c = a - b = 7
c = c * 5 = 35
In conclusion, If you run the program and print(c), your result will be: c = 35
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Given f(x) = 4x + 2, find f-1(3).
Answer:
1/4
Step-by-step explanation:
The inverse function tells you the input value that corresponds to the given output value of the function.
ApplicationYou want f^-1(3), which is the value of x such that f(x) = 3.
f(x) = 3 = 4x +2
1 = 4x . . . . . . subtract 2
1/4 = x . . . . . divide by 4
The inverse function of 3 is 1/4:
[tex]\boxed{f^{-1}(3)=\dfrac{1}{4}}[/tex]