The weight of banana together in pounds is 10/3.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
Number of banana=5
weight= 2/3 pound
Now,
To solve an equation with an unknown, you need to isolate the unknown on one side of the equation by using inverse operations1. For example, if you have 5 bananas in one bunch and each banana weighs 2/3 pound, you can write an equation like this:
5x = (2/3) * 5
where x is the weight of one banana. To solve for x, you need to divide both sides by 5:
x = (2/3) * 5 / 5
x = 2/3
So one banana weighs 2/3 pound. To find the total weight of the bananas, you can multiply x by 5:
(2/3) * 5 = 10/3
Therefore, by the equation the answer will be 10/3.
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Please help me i need the answer and im so confused just tell me if its a b c or d please
Answer:
The answer would be option A
Step-by-step explanation:
-14 times 8=-122
What is the difference, in hours and minutes, between these times?
a)
13 40 and 17 15
hours
minutes
b)
11 25 and 14 10
hours
minutes
c)
2:50 am and 7:20 am
hours
minutes
d)
10:35 am and 2:40 pm
hours
minutes
Answer:
a) 3 hrs 35 mins
b) 2 hrs 45 mins
c) 4 hrs 30 mins
d) 4 hrs 5 mins
Step-by-step explanation:
The difference, in hours and minutes, between these times are;
a) 3 hrs 35 mins
b) 2 hrs 45 mins
c) 4 hrs 30 mins
d) 4 hrs 5 mins
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The difference, in hours and minutes, between these times can be calculated as;
a) 13 40 and 17 15
13 :40 - 17 : 15
= 3 hrs 35 mins
b) 11 :25 and 14: 10
11 :25 - 14: 10
= 2 hrs 45 mins
c) 2:50 am and 7:20 am
2:50 am - 7:20 am
= 4 hrs 30 mins
d) 10:35 am and 2:40 pm
10:35 am - 2:40 pm
= 4 hrs 5 mins
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Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!?>{
Answer:
C) 1
Step-by-step explanation:
The owner of a computer store estimates profits using
the equation P = 4x² - 15x - 20 where P is the profit, in
dollars, and x is the number of
computers sold.
What is the estimated profit when 60 computers are
sold?
$26,400
$15,320
O $14,400
$13,520
$13,480
Answer:
(e) $13,480
Step-by-step explanation:
You want the estimated profit from selling 60 computers, if the profit from selling x computers is P = 4x² -15x -20.
ProfitPut 60 where x is in the profit equation and do the arithmetic.
The result is an estimated profit of $13,480.
__
Additional comment
To simplify evaluation, the polynomial can be written in "Horner form:"
P = (4x -15)x -20
Evaluating it this way takes fewer math operations and generally involves smaller numbers.
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The lcd of x-4 and x is x-4
The statement "The lcd of x-4 and x is x-4" is incorrect.
What is LCD?When adding or dividing fractions with various denominators, a common denominator is utilised as the shared denominator. Since they represent various components of a whole, two or more fractions with different denominators cannot be added or subtracted together directly. Finding a common denominator, which is a multiple of all the denominators, is necessary to add or subtract fractions with various denominators. The smallest expression that all the denominators can evenly divide into should be the common denominator.
The least common denominator (LCD) of two or more expressions is the smallest expression that is a multiple of all the denominators.
Hence, the statement "The lcd of x-4 and x is x-4" is incorrect.
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Kesha bought earbuds for $120. She had a coupon for 15% off. What is the sale price Kesha's purchase? plz help
Answer:$102
Step-by-step explanation:
15% of $120 is $18 so 120-18 is $102
Answer:
$102
Step-by-step explanation:
15 of 120 is 18. We can find this by using the equation (120 x 15)/100
When we subtract 18 from 120 we get 102.
hope this helps!
A submarine is 84 feet below the surface of the water and descends 10 feet
deeper every minute. How many minutes will it take for the submarine to be
located 219 feet below the surface? Write and solve an equation,
Answer:
13.5
Step-by-step explanation:
219-84=135
10*13.5=135
so it would take 13.5 minutes to get to 219 since 84+135=219
V is themidpoint of UW. If UV = x + 8 and VW = 9x, what is VW?
Answer:
x=1
Step-by-step explanation:
If V is the midpoint of the line UW, that would mean that there's an equal distance between UV and 9x. So, the value of UV and VW would eed to be the same.
x+8=9x
8=8x
x=1
What is a placement form from the school mean
Answer:
Placements are basically extended internships or work experience assignments
Step-by-step explanation:
What is the constant of proportionality in the equation y=25X?
Answer:
Step-by-step explanation:
y = kx
If y = 25x , then k = 25
Please help!!! Is the answer 150%? What is the answer if it is not?!?!?!
Answer:
It's 180% :)
Hope this Helps!
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
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ROUND OFF 13.4625 TO THE NEAREST TEN THOUSANDTHS
Answer:
13.46
Step-by-step explanation:
the number after 6 is less than 5 so the number wont change
How to prove this differential with limit?
\( \frac{d {e}^{ \\ x} }{dx} = {e}^{x} \)
The differentiation of \(e\x^{x}\) is \(e\x^{x}\) proved using the first law of differentiation or limit law.
What is Differentiation ?A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.
Differentiation is the ratio of a slight change in one quantity to a little change in another that depends on the first quantity. Calculus' major emphasis on the differentiation of a function makes it one of the subject's key ideas. Differentiation is the process of determining the maximum or lowest value of a function, the speed and acceleration of moving objects, and the tangent of a curve. If y = f(x) and f(x) is differentiable, then f'(x) or dy/dx is used to indicate the differentiation.
\(\frac{d}{dx}e\x^{x}\) using first order or limits to differentiate we get
for \(\lim_{h \to0} \frac{f(x+h) - f(x)}{h} = \frac{d}{dx}f(x)\)
therefore,
\(\lim_{h \to 0} \frac{e\x^{(x +h)}- e\x^{x} }{h} \\\) = \(\lim_{h \to 0} \frac{e\x^{x}(e\x^{h}-1 ) }{h}\) = \(\lim_{h \to 0} \frac{e\x^{x}*e\x^{h} }{1} \\\) ( using L-Hospital)
\(\lim_{h \to 0} e\x^{x} * e\x^{h} = e\x^{x} (proved)\)
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Use the Compound interest formula to compute the total amount accumulated and the interest earned.
$3000 for 5 years at 5% compound quarterly.
The total amount accumulated after 5 years is $____
(Round to the nearest cent as needed)
The total amount accumulated after 5 years is $3,846.11
The interest earned after 5 years is $846.11
What is the total amount accumulated and the interest earned?When an amount earns a compound interest, it means that the amount grows at an exponential rate. This means that both the amount invested and the interest that has already being earned increases in value at each compounding time.
The formula for calculating future value when there is quarterly compounding:
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = quarterly interest rate = annual interest rate / number of compounding = 5% / 4 = 1.25%m = number of compoundingN = number of yearsFV = 3000 x (1 + 0.0125)^(4 x5)
FV = 3000 x (1.0125)^20 = $3,846.11
Interest is the difference between the future value of the amount invested and the amount invested.
Interest = future value - amount invested
$3,846.11 - $3000 = $846.11
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In the Gaussian integral, how does the left side of this equation equal the right side? An answer would be really appreciated, thank you.
the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.
How do we calculate?
using completing the square method:
Starting with the left side of the equation:
∫\(e^(^-^x^2)\) dx
\(e^(^-^x^2) = (e^(^-x^2/2))^2\)
∫\((e^(^-^x^2/2))^2 dx\)
let u = √(x²/2) = x = √(2u²).
dx = √2u du.
∫ \((e^(^x^2/2))^2 dx\)
= ∫ \((e^(^-2u^2)\)) (√2u du)
The integral of \(e^(-2u^2)\)= √(π/2).
∫ \((e^(-x^2/2))^2\) dx
= ∫ (√2u du) \((e^(-2u^2))\\\)
= √(π/2) ∫ (√2u du)
We substitute back u = √(x²/2), we obtain:
∫ \((e^(-x^2/2))^2\)dx
= √(π/2) (√(x²/2))²
= √(π/2) (x²/2)
= (√π/2) x²
A comparison with the right side of the equation shows that they are are equal.
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Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
Overview
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Question Progress
Homework Progress
22/44 Marks
Round the number 125.3546 to 1 decimal place.
Answer:
125.4
Step-by-step explanation:
Given
\(Number = 125.3546\)
Required
Round to 1 decimal place
Up till the first decimal place, the number is:
\(Number = 125.3\)
The digit after .3 is 5
The conditions for approximation are:
If n > 4, approximate to 1Else: approximate to 0In this case: 5 > 4, so we approximate to 1
Add this "1" to the last digit of 125.3. This becomes 125.4
Hence: when the number is approximated to 1 decimal place, the digit is 125.4
Sarah drives her car 133 miles in 285 minutes. What is her average speed in miles per hour?
Answer:
28 miles per hour
Step-by-step explanation:
133 miles/285 minutes = 133 miles/4.75 hours = 28 miles/hour
Each side of a rhombus is 20 cm long and one of its diagonals is 24 cm in length, find the area of this rhombus?
please help me on this
\( \\ \\ \)
To find :Diagonal_2 of rhombus\( \\ \\ \)
Note :Kindly keep in touch with picture
\( \\ \\ \)
Solution:We know:
\( \bigstar \boxed{ \rm Area = \dfrac{Diagonal_1 \times Diagonal_2 }{2}}\)
As we can clearly see we need both diagonals, but in question only one diagonal is given.
\( \\ \)
So first let's find other diagonal.
\( \\ \)
\( \red{\textsf{ \textbf{To find Diagonal}}} \red{\sf\pmb{_2}} \leadsto\)
\( \\ \)
In △ AOB :
AB - Hypotenuse
AO = Perpendicular
BO = Base
\( \\ \)
Base² = Hypotenuse ² - Perpendicular²
∴ BO² = AB² - AO²
BO² = 20² - 12²BO² = 400 - 12²BO² = 400 - 144BO² = 256BO = √(256)BO = √(16 × 16)BO = 16 cm²\( \\ \)
Diagonal_2 = 2BODiagonal_2 = 2 × 16Diagonal_2 = 32 cm\( \\ \\ \)
\( \red{\textsf{ \textbf{To find Area}}} \leadsto\)
\( \\ \)
As we already know Area of rhombus so :
\(\twoheadrightarrow\sf Area = \dfrac{Diagonal_1 \times Diagonal_2 }{2} \\ \)
\( \\ \\ \)
\(\twoheadrightarrow\sf Area = \dfrac{32 \times 24}{2} \\ \)
\( \\ \\ \)
\(\twoheadrightarrow\sf Area = \dfrac{768}{2} \\ \)
\( \\ \\ \)
\(\twoheadrightarrow\bf Area = \red {384 {cm}^{2} } \\ \)
Sidney wants to increase the amount of
time he spends studying.
Answer:
if this is ur question, then ur answer is 53
Last year, Adele went bowling several times and earned an average score of 95 points.
This year, after taking a class at school, she improved her score to an average of 133 points.
What is the percent of increase in Adele's average score?
Answer:
40 percent increase
Step-by-step explanation:
Starting point - 95
End point - 133
133-95 = 38
38/95 = 0.4
0.4*100=
40
Answer:
40%
Step-by-step explanation:
(133 - 95)/95 x 100 = (38/95) x 100 = 40%
You hear that tuition is going to increase by 3% next year. If tuition
this
year is $7,200 this year, what will the tuition be next year?
Answer: $7416
Step-by-step explanation:
You look up 3% of $7200 ($216) and add that to the original price to get $7416 :)
Evaluate y = ln (x − 2) for the following values of x. Round to the nearest thousandth. x = 3, y = x = 4, y ≈ x = 6, y ≈
Answer:
Step-by-step explanation:
When x=3, y = ln(3-2) = ln(1) = 0.
:::::
When x=4, y = ln(4-2) = ln(2) ≅ 0.693.
:::::
When x=6, y = ln(6-2) = ln(4) ≅ 1.386.
The values of y for the given values of x are approximately 0.000, 0.693, and 1.386, respectively
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We have equation y = ln(x - 2).
Substituting the given values of x, we get:
When x = 3, y = ln(3 - 2)
= ln(1) = 0
substitute x = 4 in given equation
y = ln(4 - 2)
= ln(2) = 0.693
When x = 6,
y = ln(6 - 2)
= ln(4)
= 1.386
Therefore, the values of y for the given values of x are approximately 0.000, 0.693, and 1.386, respectively
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Solve for 2.
Your answer must be simplified.
x + 5<-4
Which of the following are consistent with the
guidelines for hitching trailers?
Trailers must be connected to the tow vehicle before loading.
Loads cannot exceed the maximum payload of 1,750 pounds.
Loads cannot exceed the maximum payload of 3,000 pounds.
Customer vehicles must have at least a frame mounted Class 3 receiver hitch
with a 2" or 2 5/6" ball.
The statement that are consistent with the guidelines for hitching trailers are:
A. Trailers must be connected to the tow vehicle before loading.
D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.
Guidelines for hitching trailers?Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.
Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.
Therefore the correct option is A and D.
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Suppose we have a triangle with vertices located at A(-6,-3), B(2,5), and C(8,-3). Where is the
vertex C' located if the figure is translated 4 units to the left and 3 units down?
9514 1404 393
Answer:
C'(4, -6)
Step-by-step explanation:
Translation right by h and up by k is described by ...
(x, y) ⇒ (x +h, y +k)
Here, you have 4 left and 3 down, so (h, k) = (-4, -3) and the transformation is ...
(x, y) ⇒ (x -4, y -3)
C(8, -3) ⇒ C'(8 -4, -3 -3) = C'(4, -6)
suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 ? round your answer to one decimal place.
Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.
What is standard deviation?Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.
Here,
Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:
$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean
$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean
Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).
Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:
=1 - 1/2²
= 1 - 1/4
= 0.75
This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.
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A dairy farmer wants to mix 35% protein supplement in a standard 10% protein ration to make 1300 pounds of high grades 25% protein ration how many pounds of each should he use
Answer:
Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.
Step-by-step explanation:
The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.
The equation from the fourth column is:
0.35x + 0.10(1300 - x) = 0.25(1300)
Solving for x, we get:
x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600
Sita started to walk from her office to home. She first walked a distance of 1 km towards North and after finishing her shopping she walked for another 4 km towards West to meet her friend. From there she took a left turn and walked for another 4 km to reach her home. What is the shortest distance between her office and home?
Answer:
5km
Step-by-step explanation:
A - her office
E - her home
AB = 1km; BC = CE = 4km
AE - the shortest disctance between her office and home.
ADE - right triangle, where AD = 4km, ED = 3 (EC - CD) =>
According to the Pythagorean theorem , we make up the equation:
AE = √ED^2 + AD^2 = √25 = 5km