Three-fourths of the yard is covered with grass and one-fourth is used as a garden. The sprinkler could only water 1/5 of the yard, so the rest died. Use the model to find out how much of the grass died.
3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.
Let's start by breaking down the information given:
- Three-fourths of the yard is covered with grass.
- One-fourth of the yard is used as a garden.
- The sprinkler could only water 1/5 of the yard.
To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.
Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.
The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.
To find the portion of the grass that died, we subtract the watered portion from the total grass area:
Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.
Simplifying, we get:
Portion of grass that died = 3/5.
Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.
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Which equation represents g(x)?
Answer:
There's not enough information to determine the answer... is there more to this?
what is the main protein of a scientific investigation A. To form an opinion B. to test a hypothesis C. To persuade a bias D. To teach a lesson
Answer:
D.To teach a lesson
Step-by-step explanation:
Hope it helps you
What’s the answer and How do you do these
Compare the function 3x + 2y = 8 to the function graphed below, then identify which statement is true.
The two functions have the same y-intercept.
The two functions have the same x-intercept.
The y-intercept of the graphed function is greater than the y-intercept of the function 3x + 2y = 8.
The x-intercept of 3x + 2y = 8 is greater than the x-intercept of the graphed function.
The two linear functions have the same y-intercept. Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The function 3x + 2y = 8 and the other function is graphed.
Convert the standard linear function into slope-intercept form. Then we have
3x + 2y = 8
2y = 8 - 3x
y = 4 - (3/2)x
The y-intercept of the linear function is 4 and the y-intercept of the graphed line is also 4.
The two capabilities have a similar y-catch. Then, at that point, the right choice is A.
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Can someone plz help me
Answer:
15 days. 5 divided by 1/3 is 15
Ja’Miya needs to save $84. She has saved $63. What percent of the money she needs , has she saved
Answer:
75%
Step-by-step explanation:
63/84 = .75
.75= 75%
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Question: The time is 1 o'clock. What are the next two times at which the hour and minute hands will be perpendicular?
The next two times at which the hands of the clock will be perpendicular are at 1:20 and at 1:50.
When will the hands be perpendicular?The two hands will be perpendicular when the angle between them is 90°. Remember that every 5 minutes that the minute clock moves, there is an angle of 30°.
Each hour that the hour hand moves, there is an angle of 30°.
The first time that we will have an angle of 90° between the hands is at:
1:20
Because the minute hand is at an angle of -30° with respect to the x-axis at 20 minutes, and the hour hand is at an angle of 60° at 01.
The next time will be when the minute clock moves another 30 minutes (half the circle) and this will be at 01:50.
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40/27 ,20/9, 10/3 what is the next term in the geometric sequence ?
Answer:
5/1
Step-by-step explanation:
40/27
20/9
10/3
5/1
divided by 2 and 3 each other!
A jar contains 6 red marbles, numbered 1 to 6, and 12 blue marbles numbered 1 to 12.
a. A marble is chosen at random. If you're told the marble is red, what is the probability that it has the number 5 on it?
b. The first marble is replaced, and another marble is chosen at random. If you're told the marble has the number 1 on it, what is the probability the marble is red?
Answer: b is a 50% chance a is 1 is 18% chance
Step-by-step explanation:I did the math
giving brainlist to correct answer!
Answer:
Two less than seven times a number equals thirty-three
I hope this helps!
a formula in the form y=mx+b models the cost, y, of four-year college x years after 2010. would you expect m to be positive, negative, or zero? explai your answer
we would expect m to be positive.
In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.
Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.
If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.
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A payment of $3,480 is due in 60 days and another payment of $6,740 is due in 220 days. Calculate the single equivalent payment to be made in 55 days to settle the two payments if money earns 7.75% p.a. (Hint: use 55 days from now as the focal date.) $
The single equivalent payment due in 55 days to settle the two payments is $10,022.96.
What is the present value?
To calculate the single equivalent payment, we need to find the present value of each of the two payments due at future dates and add them together.
Using the formula:
PV = FV / (1 + r)ⁿ
where PV is the present value, FV is the future value, r is the interest rate, and n is the number of periods,
we can calculate the present value of the first payment due in 60 days:
PV1 = 3480 / (1 + 0.0775 * 60/365) = 3427.67
Similarly, we can calculate the present value of the second payment due in 220 days:
PV2 = 6740 / (1 + 0.0775 * 220/365) = 6414.78
The total present value of the two payments is:
PV = PV1 + PV2 = 3427.67 + 6414.78 = 9842.45
To find the equivalent single payment due in 55 days, we can use the formula:
PV = FV / (1 + r)ⁿ
where PV is the present value we just calculated, r is the interest rate, n is the number of periods from the focal date to the future date of the equivalent payment, and FV is the equivalent single payment due at the future date.
Solving for FV, we get:
FV = PV * (1 + r)ⁿ
FV = 9842.45 * (1 + 0.0775 * 55/365) = 10022.96
Therefore, the single equivalent payment due in 55 days to settle the two payments is $10,022.96.
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Given the functions f(x) = 6x + 11 and g(x) = x^2 + 6, which of the following functions represents f[g(x)] correctly?
Answer:
6x^2+47
Step-by-step explanation:
You simple have to "plug" g(x) into f(x) for x.
f(x)=6x+11
f(g(x))=6(x^2+6)+11
f(g(x))=6x^2+36+11
f(g(x))=6x^2+47
Simplify the expression: 7 + 24 / 6 * 10 *
Answer:
47
Step-by-step explanation:
Since we are following PEMDAS and doing the problem left to right, first you would divide 24/6 which is 4 and then multiply by 10 which is 40. Then add the remaining 7 and your answer is 47. Simple.
What is the equation of a circle with center -4, 7 and radius 6
Answer:
\(( x + 4 )^2 + ( y - 7 )^2 = 36\)
Step-by-step explanation:
Use the circle equation, \(( x - h )^2 + ( y - k )^2 = r^2\)
Plug in the center and radius:
\(( x + 4 )^2 + ( y - 7 )^2 = 6^2\)
Simplify:
\(( x + 4 )^2 + ( y - 7 )^2 = 36\)
So, the equation is \(( x + 4 )^2 + ( y - 7 )^2 = 36\)
How long do animals live? Beluga whole 40 bengal tiger 10 elephant seal 20 giraffe 25 orangutan 35
The time period of the animals life cycles are,
⇒ Beluga whole = 35 years
⇒ Bengal tiger = 10 years
⇒ Elephant = 20 years
⇒ Giraffe = 25 years
⇒ Orangutan = 40 years
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are some animals and there ages.
Now,
Since, There are some animals and there ages are given.
Hence, The correct ages of the animals are,
⇒ Beluga whole = 35 years
⇒ Bengal tiger = 10 years
⇒ Elephant = 20 years
⇒ Giraffe = 25 years
⇒ Orangutan = 40 years
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Erica saw a skateboard on sale for $45.56. The original price of the skateboard was $75.99. What is the approximate percent discount on the skateboard? Round to the nearest whole percent.
Answer:
60%
Step-by-step explanation:
45.56/75.99 x 100 = 59.9
Rounded = 60%
Hello!
Discounts! I struggle myself with these, but a common method can help you find the price.
First, we'll subtract 45.56 from 75.99, to get our discount factor.
75.99 - 45.56 = 30.43
Now, we have to figure out the percentage of said factor. How much of 75.99 is 30.43. We must divide discount factor by original number.
30.43 ÷ 75.99 = 0.40044742729306 which would be equal to 40.044742729306%
Lastly we round 40.044742729306% to the nearest whole percent.
Our final answer is: 40%
waffletowne
Under her cell phone plan, Micaela pays a flat cost of $47 per month and $5 per gigabyte. She wants to keep her bill at $68.50 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Micaela can use while staying within her budget.
Answer:
≤ 4.3 gigabytes
Step-by-step explanation:
Flat fee + cost for x gigabytes = her budget
47 + 5 * x ≤ 68.50
5x = 68.50 - 47 ≤ 21.50
x ≤ 21.50/5 = 4.3 gigabytes
Micaela can use approximately 4.3 gigabytes of data while staying within her budget of $68.50 per month.
Let, "x" to represent the number of gigabytes of data Micaela can use while staying within her budget.
The total cost can be calculated by adding the flat cost of $47 to the cost based on the gigabytes used ($5 per gigabyte):
Total Cost = Flat Cost + (Cost per Gigabyte * Number of Gigabytes)
Given that Micaela wants to keep her bill at $68.50 per month, we can set up the equation:
68.50 = 47 + 5x
Now, solve for x:
68.50 - 47 = 5x
21.50 = 5x
Divide both sides by 5:
x = 21.50 / 5
x = 4.3
So, Micaela can use approximately 4.3 gigabytes of data while staying within her budget of $68.50 per month.
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On November 28, 2024, Shocker receives a $3,450 payment from a customer for services to be rendered evenly over the next three months. Deferred Revenue is credited. Record the adjusting entry for deferred revenue at its year-end of December 31
The adjusting entry for deferred revenue at its year-end of December 31 is $1,150
How to calculate simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
\(I = \dfrac{P \times R \times T}{100}\)
We are given that;
The amount of payment=$3,450
Now,
The adjusting entry for deferred revenue at its year-end of December 31
Debit: Deferred Revenue $1,150 (which is one-third of the total payment received)
Credit: Revenue $1,150 (which represents the portion of the service that has been provided in December)
Therefore, by the given interest answer will be $1,150
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Which sum or difference is modeled by the algebra tiles?
As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.
what is expression ?It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.
given
To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2
Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6
Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2
Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4
= 2x2 + 2x + 2
As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.
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The complete question is:-
Select the correct answer.
Which sum or difference is modeled by the algebra tiles?
A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2
B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2
C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2
D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2
solve this equation 2(y + 2) = 3(y - 7)
Answer:
\(2(y + 2) = 3(y - 7) \\ 2y + 2 \times 2 = 3y - 3 \times 7 \\ 2y + 4 = 3y - 21 \\ y \: terms \: togther \\ 3y - 2y = 4 + 21 \\ y = 25\)
\(thank \: you\)
Help if possible, thanks
Answer:
C
Step-by-step explanation:
Sara's speed is 10mph while Bob is 8mph
The lunch at Dion's Place has choice of ham, turkey, or roast beef on rye or white bread white juice, milk, or tea.
A. How many different lunches are possible.
B. What is the probability that the lunch special of the day is ham on rye with tea?
Please Help With Both Answers - I Will Give BRAINLIEST, and 50 points.
Total combinations are found by multiplying the quantities of each part by each other.
3 kinds of meat x 2 types of bread x 3 types of drinks
A) total combinations = 3 x 2 x 3 = 18
B) there are 18 different combinations, ham in rye with tea is 1 combination.
The probability would be 1/18
a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?
To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.
The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.
Therefore, the fraction of pocket money left can be written as 17/35.
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
Which value of x makes the equation true 3x-6/3= 7x-3/6
The value of x that makes the equation true is - 3 / 8.
How to solve equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Therefore, the value of x that makes the equation true is the value that makes the two sides of the equation equal.
Hence,
3x - 6 / 3 = 7x - 3 / 6
3x - 2 = 7x - 1 / 2
add 2 to both sides of the equation
3x - 2 = 7x - 1 / 2
3x - 2 + 2 = 7x - 1 / 2 + 2
3x = 7x - 1 / 2 + 2
3x = 7x + 3 / 2
subtract 7x from both side of the equation
3x - 7x = 7x - 7x + 3 / 2
- 4x = 3 / 2
cross multiply
- 8x = 3
x = - 3 / 8
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The value of x which makes the equation true is - 3 / 8.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 3x-6/3= 7x-3/6
Three x minus six divided by three equal to seven times of x minus three divided by six
3x-6/3= 7x-3/6
(9x-6)/3=(42x-3)/6
Apply cross multiplication
6(9x-6)=3(42x-3)
Apply distributive property
54x-36=126x-9
add 36 on both sides
54x=126x-9+36
54x=126x+27
-27=126x-54x
-27=72x
x=-27/72
x=-9/24=-3/8
Hence value of x is -3/8 for equation 3x-6/3= 7x-3/6.
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Find the value of x Xº (3X-12)°
The value of x in the diagram given 42°
Using angle theorems, the angles are opposite and the reflex angles can be calculated thus :
Recall :
Sum of reflex angles is 360°
(x + x + (3x+12) + (3x + 12) ) = 360°
2x + 6x + 24 = 360
8x = 360 - 24
8x = 336
x = 336/8
x = 42°
Hence, the value of x is 42°
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Use the function f(x) to answer the questions: f(x) = 2x^2 − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
What is the domain of the square root function graphed below?
On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3).
x less-than-or-equal-to negative 1
x greater-than-or-equal-to negative 1
x less-than-or-equal-to 0
x greater-than-or-equal-to 0
Mark this and return
The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.
The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.
From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).
The x-values of these points are 0, 1, and 4.
Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.
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