The area, in acres, used to plant the green apples is
\(7\frac{1}{5}=7+\frac{1}{5}=\frac{5\cdot7+1}{5}=\frac{35+1}{5}=\frac{36}{5}\)And this area corresponds to 3/8 of the entire orchard.
So, calling x the area of the entire orchard, we have the following proportion:
Area in acres Fraction of the orchard
36/5 3/8
x 1
Then, cross multiplying the above values, we obtain:
\(\begin{gathered} \frac{3}{8}x=\frac{36}{5} \\ \\ \frac{8}{3}\cdot\frac{3}{8}x=\frac{8}{3}\cdot\frac{36}{5} \\ \\ x=\frac{8}{5}\cdot\frac{36}{3} \\ \\ x=\frac{8}{5}\cdot12 \\ \\ x=\frac{96}{5} \\ \\ x=\frac{95}{5}+\frac{1}{5} \\ \\ x=19\frac{1}{5} \end{gathered}\)Therefore, the area of the framer's orchard is 19 1/5 acres.
What is the y-intercept of the line describe by the equation below? Y=5x-22
Answer:
The y intercept is (0,-22)
Step-by-step explanation:
The y intercept is the value when x =0
Y=5x-22
y = 5*0 -22
y = -22
The y intercept is (0,-22)
Of the 32 students in Joe's class, 8 students ride their bikes to school, 5 walk to school, 4 get a ride to school in a car, and 15 take the bus to school. What is the experimental probability of choosing a student who walks to school?
The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.
Given data ,
The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.
Number of students who walk to school = 5
Total number of students in the class = 32
Experimental probability = Number of students who walk to school / Total number of students
= 5 / 32
P = 0.15625
Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.
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paul is going to a college where tuition for one year is $14,200. He has a scholarship worth $1,500 and a grant worth $200. He earns $125 a week at this job how many weeks does paul need to work to pay 50% of the remaining tuition.
Answer:
50
Step-by-step explanation:
if you want an explanation just ask.
The 4th term of an AP is 6. If the sum of the 8th and 9th terms is -72, the com. mon difference is:
Answer:
t(4) = 6 ---- a + 3d = 6
t(8) + t(9) = -72
a+7d + a+8d = -72
2a + 15d = -72
double the first equation
2a + 6d = 12
subtract them
9d = -84
d = -84/9 = -28/3
Step-by-step explanation:
mayas penny bank is 1/2 full. after she adds 120 pennies,it is 2/3 full. How,many pennis can mayas bank hold?
Answer:
720
Step-by-step explanation:
We are looking for the difference between 2/3 and 1/2, which we know to be 120. To subtract fractions of different denominators, we need to find the common denominator (this can be found by finding the LCM of both denominators)
120 = 2/3 - 1/2 = 4/6 - 3/6
1/6 = 120
We can multiply 120 by 6 to find the value of the full bank.
1/1 = 720
if the lengths of the legs of a right triangle are labelled x and y, and if its hypotenuse length is labelled z, then the pythagorean theorem states
The Pythagorean for the triangle with a length of two legs x and y and the hypotenuse length as z is z²=x²+y².
The perpendicular, base (adjacent), and hypotenuse (opposite) are the names of the triangle's three sides. Perpendicular forms a right angle with the triangle base. The hypotenuse is the greatest side opposing the right angle (90 degrees) of a triangle. According to the Pythagorean Theorem, the square of the length of the hypotenuse will always result from adding the squares of the lengths of two legs of a right-angle triangle.
Given the length of one leg is x and the length of another leg is y. The length of the hypotenuse is z. Then, by the Pythagorean Theorem, z²=x²+y².
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What is the circumstance of the circle
Answer:
8pi
Step-by-step explanation:
circumference of the circle=2 pi r(radius)
=2pi×d(diameter)/2
=2 × pi × 8/2
=8 pi cm
You are getting your carpet cleaned. You have three bedrooms (9x10’); 10x12 and 11x16), a living room (14’x16’) and dining room (14x14’ ) . Perfco Carpet Cleaning Co. charges $0.50/sq for carpet cleaning. What is your charge?
Answer:
Under 800 square feet of carpet to be cleaned: $0.53 per square foot
800 - 1,500 square feet: $0.49 per square foot
Over 1,500 square feet: $0.42 per square foot
Stairs (standard size): $4.16 each stair
There are 3 cats in the room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail.
Answer:
ok soooo whats the question like bruhhhhhh i here to anwser now tell me the question
Step-by-step explanation:
What is the distance between (-10,7) and (2,-9)
Answer:
20 (units)
Step-by-step explanation:
Sqrt of (x-x1)^2+(y-y1)^2
So define which coordinate is (x,y) and what (x1,y1)
I’m going to define (-10,-7) as (x,y) and (2,9) as (x1,y1)
So plug in your variables!
Sqrt(-10-2)^2+(-7-9)^2
Sqrt-12^2+-16^2
Sqrt144+256
Sqrt400
Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? Select three options. 5(x2 + 4x + 4) = –7 + 20 x + 2 = Plus or minus StartRoot StartFraction 27 Over 5 EndFraction EndRoot 5(x2 + 4x) = 7 5(x2 + 4x + 4) = 7 + 20 5(x2 + 4x) = –7
The steps Sergey could use to solve the quadratic equation by completing the square is 5(x2 + 4x) = –7
How to use the completing the square method?We should know that in completing the square method both sides of the equation are made perfect squares.
The given equation is 5x²+20x-7=0
Solving this equation by completing the square method we have
5(x²+4x+4)=-7
This means that (x+2)=±√27/5
Simplifying further we have
5(x²+4x)=7
Then expanding to make ²HS a perfect square we have
5(x²+4x+4)=7+20
This means that 5(x²+4x)=-7
Therefore the step he could use is 5(x²+4x)=-7\
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true/false. given an int variable datum that has already been declared, write a statement that reads an integer value from standard input into this variable.
True.
Here's an example statement in Python that reads an integer variables from standard input and stores it in an existing integer variable called datum:
datum = int(input("Enter an integer value: "))
This statement first prompts the user to enter an integer value by printing the string "Enter an integer value: " to the console. The input() function then reads the user's input from the console as a string. Finally, the int() function converts the string to an integer and assigns the result to the datum variable.
Note that the specific syntax and function calls may vary depending on the programming language being used, but the general concept of reading an integer value from standard input into an existing variable is applicable to most programming languages.
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PLZ HELP !!!
Find the value of X.
9514 1404 393
Answer:
60°
Step-by-step explanation:
The sum of angles in a quadrilateral is 360°. The interior angle adjacent to x will have measure 180°-x. So, the equation can be written ...
100° +50° +90° +(180° -x°) = 360°
420° -x° = 360° . . . . simplify
x = 420 -360 . . . . . . divide by °, add x-360
x = 60
A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 60% pure antifreeze. In order to obtain 180 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?
First brand =
Second Brand=
Answer:
Step-by-step explanation:
Let x be the portion of 60%
180 - x is the portion of 40%
0.60x + 0.40(180 - x) = 0.55(180)
0.60x + 72 - 0.40x = 99
0.20x = 27
x = 135
180 - 135 = 45
First brand = 45 gallons of 40%
Second Brand = 135 gallons of 60%
Pls answer correctly I’ll give you brainliest
Answer:
Step-by-step explanation:
y=mx+b
so inset the first point into the equation
-3 for x and 7 for y.
7=m(-3)+b
y=mx+b
1 for x and -1 for y
-1=m(1)+b
now put them together and solve for m and b.
-1=m+b
7=-3m+b
--------------------
-1-b=m
7=-3m+b
inset m into the equation
7=-3(-1-b)+b
7=3+3b+b
4=4b
b=1
--------------
insert b back in for -1=m+b
-1=m+1
m=-2
---------------------------------------
Now insert it back into y=mx+b
y=(-2)x+1
so this line contains those points that were given
Hope this helps :)
Diane, Sam, and Boris served a total of 54 orders Monday at the school cafeteria. Diane served 6 fewer orders than Sam. Boris served 2 times as
many orders as Sam. How many orders did they each serve?
Number of orders Diane served:
Number of orders Sam served:
Number of orders Boris served:
Answer:
Let's denote:
- The number of orders Diane served as `D`
- The number of orders Sam served as `S`
- The number of orders Boris served as `B`
From the problem, we know:
1. `D + S + B = 54` (the total number of orders they served)
2. `D = S - 6` (Diane served 6 fewer orders than Sam)
3. `B = 2S` (Boris served 2 times as many orders as Sam)
We can substitute equations 2 and 3 into equation 1 to solve for the variables:
Substitute `D` and `B` in equation 1:
`(S - 6) + S + 2S = 54`
Combine like terms:
`4S - 6 = 54`
Add 6 to both sides:
`4S = 60`
Divide by 4:
`S = 15`
Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:
`D = S - 6 = 15 - 6 = 9`
`B = 2S = 2 * 15 = 30`
So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.
5 2/5 divided by 3/2
Answer:
5 2/5 ÷ 3/2 = 3.6
I hope this is right
what is the perimeter of a rectangular whose area is 92 square mm and length is 11.5 mm
We are given –
Area of rectangular is = 92 square mmLength of rectangular is = 11.5 mmWe are asked to find out the value of perimeter of the rectangular! Let's find it's breadth first!We know that–
\(\qquad\)\( \purple{\bf\longrightarrow Area_{(Rectangular)} = Length \times Breadth} \)
\(\qquad\)\( \sf \longrightarrow 92 = 11.5 \times Breadth \)
\(\qquad\)\( \sf \longrightarrow Breadth = \cancel{\dfrac{92}{11.5}}\)
\(\qquad\)\( \purple{\bf \longrightarrow Breadth = 8 \: mm}\)
Now, Perimeter of rectangular –
\(\qquad\)\( \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }\)
\(\qquad\)\( \sf \longrightarrow Perimeter _{(Rectangular) }= 2( 11.5 +8) \)
\(\qquad\)\( \sf \longrightarrow Perimeter _{(Rectangular) } = 2 \times 19.5\)
\(\qquad\)\(\pink{ \bf \longrightarrow Perimeter _{(Rectangular) } = 39\: mm}\)
Henceforth, Perimeter of rectangular is 39mm._______________________________________
Answer:
Perimeter = 39 mmStep-by-step explanation:
In this question we are given with ,
Area of rectangle = 92 sq mmLength of rectangle = 11.5 mmAnd we're asked to find the perimeter of rectangle .
Solution : -
We know that ,
\( \pink{ \boxed{\sf{Area \: of \: rectangle = L × W}}}\)
Where ,
L = length of rectangleW = width of rectangleSo from this formula we can find the width of rectangle and equating it with 92 ( because 92 is the given area ) . Substituting value of length :
\( \longmapsto \: 11.5 \times W = 92\)
Step 1 : Multiplying 11.5 and W :
\( \longmapsto \: 11.5W = 92\)
Step 2 : Dividing by 11.5 on both side :
\( \longmapsto \: \frac{ \cancel{11.5}W}{ \cancel{ 11.5}} = \frac{92}{11.5} \)
On further calculations we get :
\( \longmapsto \: W = \cancel{\frac{920}{115} }\)
Step 3 : By cancelling 920 by 115 we get :
\( \longmapsto \: \purple{\boxed{ \bold{W = 8 \: mm}}}\)
Therefore , width of rectangle is 8 mm .Finding Perimeter :We know that ,
\( \blue{ \boxed{ \sf{Perimeter \: of \: rectangle = 2 ( L +W )}}}\)
Where ,
L = Length of rectangle W = Width of rectangleSubstituting values in formula :
\( \longrightarrow \: 2(11.5 + 8)\)
Step 1 : Solving parenthesis :
\( \longrightarrow \: 2(19.5)\)
Step 2 : Multiplying 2 with 19.5 :
\( \longrightarrow \: \green{\boxed{ \bold{39 \: mm}}}\)
Therefore, perimeter of rectangle is 39 mm. #Keep Learningthe perimeter of rectangle math is 297 cm. the ratio of the length to width is 3:8. what is the width of the rectangle?
Answer:
Width = 108 cm
Step-by-step explanation:
Perimeter = 2 x (length + width)
297 = 2 x (length + width)
148.5 = Length + width
Ratio of Length to Width = 3 : 8
Sum of ratio = 11
\(Length = \frac{3}{11} \times 148.5 = 40.5 \ cm\\\\Width = \frac{8}{11} \times 148.5 = 108 \ cm\)
What is the answer help
Answer: 162°
Step-by-step explanation:
To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.
First, a percent divided by 100 becomes a decimal.
45% / 100 = 0.45
Next, "of" means multiplication in mathematics.
0.45 * 360 = 162
The central angle will be 162°.
the bakers want to sell their house for 145,500.After 2 months,the bakers decided to mark down the price of their house 8% to sell more quickly. How much are the bakers selling their house for now?
Answer:
133,860
Step-by-step explanation:
The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".
* No we have our key elements:
- Starting amount = 145,500
- Rate of change = 8%
* We will get the "8%" of the number 145,500
- Firstly, "8%" means 8/100
- So, 0.08 will be our new rate of change.
* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.
- 145,500 × 0.08 = 133,860 ; the same as
145,500 × 8/100 = 133,860
HELP HELP HELP help help
Answer:
C
Step-by-step explanation:
Gina and Marty are selling tickets for the school dance. On Monday, they sold 15 tickets, on Tuesday 23, on Wednesday 20, and on Thursday 32. What was their average daily income if each ticket cost $2.00?
Answer:
$45
Step-by-step explanation:
15×2=30
23×2=46
20×2=40
32×2=64
30+46+40+64=180
180÷4=45
Average=45
Answer:
Their average daily income would be 45 dollars a day.
Step-by-step explanation:
To solve this, add the 15 tickets, 23, 20, and 32 tickets from Monday to Thursday. This should get you a total of 90 tickets. Since each ticket cost 2 dollars, multiply the 90 by 2. This should get you 180. TO find the average, you must divide the total(180) by the amount of days(4) that passed. This should get you 45.
Answer:
45$
The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth of coffee makers, which of the following is a valid possible price for them?
A. $15
B. $30
C. $40
D. $55
The possible price for the items if the store sells $600 is (c) $40
How to determine the possible price for the items?From the question, we have the following parameters that can be used in our computation:
The supply-demand graph
If the store sells $600, then there is a supply worth of $600
The equation of the supply line is calculated as
y = mx + c
Where
c = y = 0
i.e. c = 100
So, we have
y = mx + 100
Using another point on the graph, we have
30m + 10 = 400
So, we have
m = 13
This means that
y = 13x + 100
For a supply of 600, we have
13x + 100 = 600
So, we have
13x = 500
Divide by 13
x = 38.4
Approximate
x = 40
Hence, the possible price for the items is (c) $40
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Bean Seed Growth Temp 25 20 15 10 Days S 7 9 If the trend continues, how many days will it take at 10 degrees?
The needed number of days at 10 degrees is given as follows:
11 days.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:
m = -2/5
m = -0.4.
Hence the time needed for a temperature of 10 degrees is given as follows:
9 + 2 = 11 days.
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If the mean of x, x + 2, x + 4, x + 6, x + 8 is 11, find the value of x
Answer:
x=7
Step-by-step explanation:
Answer:
Your answer is.....
x= 7
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation:
can someone help please
The slope of the line is 2.
Describe Slope?Slope is a measure of the steepness of a line or a surface. In geometry and mathematics, slope refers to the rate at which a line rises or falls as it moves horizontally. It is calculated as the ratio of the vertical change between two points on a line (the rise) to the horizontal change between those same two points (the run).
The slope of a line can be expressed as a fraction or a decimal. A positive slope indicates that the line is increasing as it moves from left to right, while a negative slope indicates that the line is decreasing as it moves from left to right. A slope of zero indicates a horizontal line, and a slope that is undefined indicates a vertical line.
In real-world applications, slope is used in a variety of fields, such as physics, engineering, and architecture. For example, slope is used to calculate the angle of a roof or a ramp, the rate of change in the value of a stock or a commodity, or the rate of change of a moving object. Understanding slope is an important concept in mathematics and has many practical applications in the real world.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Here, the given two points are (0, 2) and (-1, 0). Substituting these values into the slope formula, we get:
m = (0 - 2) / (-1 - 0) = (-2) / (-1) = 2
Therefore, the slope of the line is 2.
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At which angle will the hexagon rotate onto itself?
60
90°
120°
180°
Answer:
120 i think im pretty good a geometry
Find non-invertible matrices A,B such that A+B is invertible. Choose A,B so that (1) neither is a diagonal matrix and (2) A,B are not scalar multiples of each other.A = [_____ _____][_____ _____]B = [_____ _____][_____ _____]
Matrices A and B are non-invertible matrices that can be added together to form an invertible matrix. To find these matrices, we can use the following steps:
Step 1: Choose a matrix A that is not a diagonal matrix and is not invertible. One example of such a matrix is
\(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\)
Step 2: Choose a matrix B that is not a diagonal matrix, is not invertible, and is not a scalar multiple of matrix A. One example of such a matrix is
\(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\)
Step 3: Add the matrices A and B together to form the matrix A+B. This matrix will be invertible, as shown below:
\(A+B = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\1&1\end{array}\right]=\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\)
Step 4: Verify that the matrix A+B is invertible by finding its determinant. The determinant of a 2x2 matrix is given by:
det(A+B) = (1)(1) - (1)(1) = 0
Since the determinant of the matrix A+B is not equal to zero, the matrix is invertible.
Therefore, the matrices \(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\) and \(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\) are non-invertible matrices that can be added together to form an invertible matrix \(A+B =\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\).
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Let u = ⟨–2, –3⟩ and v = ⟨3, –1⟩. Which graph shows u – v?
A) The first graph
Correct on Edge