Answer:
[tex]X=-2.74*10^{-7}Rs[/tex]
Step-by-step explanation:
From the question we are told that:
Table for price per Kg
Watermelon Rs 18.50
Cherry Rs 72
Grapes Rs 120.60
Apples Rs 78.40
Karan Bought:
412 kg watermelon
1 kg 200g cherries
250 g grapes
134 kg apples
Generally the equation for Total Price of Fruits Bought is mathematically given by
\sum (Price Rs* Weight kg )
[tex]\sum (P* W)=(412*18.5)+(1.2*72)+(0.25*120.60+(134*78.40))[/tex]
[tex]\sum (P* W)=27374289.78[/tex]
Therefore the Amount of Money he gets back is
[tex]X=500-\sum (P* W)[/tex]
[tex]X=-2.74*10^{-7}Rs[/tex]
Therefore
He owes the shop keeper 2.74 million Rs
I will give brainiest
Answer:
2
Step-by-step explanation:
write the equation of the circle in standard form: Center (7,0) R=1
Answer:
[tex](x-7)^2+y^2=1[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and the radius is r
1) Plug in the given center (7,0)
[tex](x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2[/tex]
2) Plug in the radius (1)
[tex](x-7)^2+y^2=1^2\\(x-7)^2+y^2=1[/tex]
I hope this helps!
A hiking trail is 2 3/5 miles long. Lucy walks 1/2 of the trail before stopping for a water break. How many miles does Lucy walk before stopping?
Answer:
look at the picture I have sent
Answer:
1.3
Step-by-step explanation:
First you simplify 2 3/5, which can be 2.6. You will find half of it so 2.6 divided by 2 equals 1.3. She traveled 1.3 miles or 1 3/10 miles before she stopped.
PLEASE HURRY! i’ll give brainliest
The answer is boxplot
Ms. Benton drew a right angle and split it into 2 angles. one of the labels inside was labeled 5x and the other angle was labeled 4x. what does x equal?
Answer choices:
5°
10°
15°
20°
please help
Answer:
B-10⁰
Step-by-step explanation:
5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰
I will give brainiest
Answer:
there should be 4 points below the trend line
Step-by-step explanation:
4
A rectangular red sticker has a perimeter of 26 millimeters and an area of 30 square millimeters. What are the dimensions of the sticker? (blank) millimeters by (blank) millimeters
Answer:
3 millimeters by 10 millimeters
Step-by-step explanation:
A spaceship traveled 81 billion miles. In scientific notation that is _____ miles.
8.1 × 10 10
8.1 × 10 -9
8.1 × 10 9
8.1 × 10 -10
plz help it's being timed
Answer:
A (8.1 x 10^10)
Step-by-step explanation:
1. 1 billion is 1,000,000,000 or 10^9
2. 81 Billion should be 81 x 10^9, but the correct notation should always show a single digit number, so you need to also divide 81 per 10
3. Thus, the answer is 8.1 x 10^10
Answer:
8.1 × 10^10
:)
simplify -5 1/4 - (-7 1/2) please
also ignore my tabs pls
Answer: 1/8
Step-by-step explanation:
1/2 x 1/4 = 1 x 1/2 x 4
The curve
[tex]y = \sqrt{x - 3} [/tex]
has a tangent with gradient
[tex] \frac{1}{2} [/tex]
at point N.
Find the coordinates of N.
Answer:
Point N(4, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)FunctionsFunction NotationTerms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \sqrt{x - 3}[/tex]
[tex]\displaystyle y' = \frac{1}{2}[/tex]
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = (x - 3)^{\frac{1}{2}}[/tex]Chain Rule: [tex]\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1[/tex]Multiply: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{1}{2\sqrt{x - 3}}[/tex]Step 3: Solve
Find coordinates
x-coordinate
Substitute in y' [Derivative]: [tex]\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle 1 = \frac{1}{\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply √(x - 3) on both sides: [tex]\displaystyle \sqrt{x - 3} = 1[/tex][Equality Property] Square both sides: [tex]\displaystyle x - 3 = 1[/tex][Addition Property of Equality] Add 3 on both sides: [tex]\displaystyle x = 4[/tex]y-coordinate
Substitute in x [Function]: [tex]\displaystyle y = \sqrt{4 - 3}[/tex][√Radical] Subtract: [tex]\displaystyle y = \sqrt{1}[/tex][√Radical] Evaluate: [tex]\displaystyle y = 1[/tex]∴ Coordinates of Point N is (4, 1).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
I need with the volume!!!
Answer:
Tim read 81 pages.
Step-by-step explanation:
If he read 3 pages on Monday and tripled the amount of pages he red based of off the amount of pages he read the previous day, he would have read 3 pages on Monday, 9 pages on Tuesday, 27 pages on Wednesday, and 81 pages on Thursday.
Monday: 3
Tuesday: 3 x 3 = 9
Wednesday: 9 x 3 = 27
Thursday: 27 x 3 = 81
I hope this helps you! :D
!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
Answer:
x = -11 5/17
Step-by-step explanation:
3x + 2y = 12
2x - 3y = -57
5x + y = -45
y = -5x - 45
2x - 3 (-5x - 45) = -57
2x + 15x + 135 = -57
17x + 135 = -57
17x = -192
x = -11 5/17
what does 5 out of 7 equal to??
Answer:
5 out of seven is 71%
THank Go oGle
which equation can be used to solve for x in the following diagram ?
Write the recursive formula for the sequence
37, 67, 97, 127, 157
Answer:
The recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex], [tex]a_{i} = a_{i-1} + 30[/tex].
Step-by-step explanation:
A recursive formula is a formula that defines each term of a sequence using the preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence, as well as an equation defining [tex]a_{i}[/tex] in terms of preceding terms. Since the first term of this sequence is 37, that means [tex]a_{1} = 37[/tex]. The pattern in this arithmetic sequence between each term in ascending order would be 30 more than the previous term, so you can create the function [tex]a_{i} = a_{i-1} + 30[/tex]. So the recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex] and [tex]a_{i} = a_{i-1} + 30[/tex].
I need helpp! I needdd help
Insert space to express 725895213 in International number
system
Answer:
725 895 213
Step-by-step explanation:
Seven hundred and twenty five million, eight hundred and ninety five thousand, two hundred and thirteen.
To express the number 725,895,213 in the International number system, spaces can be inserted every three digits from the right. Here's the number with spaces added:
725 895 213
This format with spaces is commonly used to enhance readability and make large numbers easier to comprehend.
The term "number system" refers to a mathematical notation or method used to represent numbers. It provides a structured way to count, measure, perform calculations, and express numerical quantities. Different number systems exist, and they vary based on the symbols used, the base or radix of the system, and the rules for representing numbers.
The most common number system used worldwide is the decimal system, also known as the base-10 system. In the decimal system, numbers are represented using ten digits (0-9), and the value of each digit is determined by its position or place value within the number.
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Joseph runs 2 miles on Monday. Each day after that, he runs the same 1 1/3 mile route every
morning. His goal is to run at least 6 miles by the end of the week.
Which inequality represents the least number of days after Monday that Joseph needs to run
to reach his goal? *
Answer:
2 + 1 1/3x ≥ 6
x ≥ 3 days
Step-by-step explanation:
Monday = 2 miles
Other days = 1 1/3 miles
x = least number of days after Monday that Joseph needs to run
to reach his goal
Total miles = 6 miles
The inequality is
2 + 1 1/3x ≥ 6
1 1/3x ≥ 6 - 2
1 1/3x ≥ 4
4/3x ≥ 4
Divide both sides by 4/3
4/3x ÷ 4/3 ≥ 4 ÷ 4/3
x ≥ 4 × 3/4
x ≥ 3 days
Triangle PQR is similar to triangle DEF as shown.*
A.
B.
D.
C.
Type the missing number that makes these fractions equal: 4/?=8/14
Answer:
4/7 = 8/14
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
[tex]\frac{4}{x} =\frac{8}{14} \\[/tex]
cross multiply
8x = 14 x 4
8x = 56
x = 7
it takes luis 4.5 minutes to read 3 pages. how long will it take him to read 32 pages?
Answer:
48 minutes
Step-by-step explanation:
4.5/3 = 1.5
1.5 x 32 = 48
HELP ME IM STUCK PLEASE QUICK
Answer:
C) 24>x
Step-by-step explanation:
The inequality is just turned around. 24>x is thw same thing as x<24.
Hope this helped :)
Answer:
D
Step-by-step explanation:
x+3≥12
<=> x≥8
so 8 is less than x
x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)
What is an equation of the line that passes through the point (6,-2)) and is parallel to the line 5x+3y=6
Answer:
[tex]hope it help you\left \{ {{y=2} \atop {x=2}} \right.[/tex]
Step-by-step explanation:
is -7 less the -8
is -8 less then or equal to -8
Which triangle makes this statement true?
Answer:
A.
Step-by-step explanation:
i pretty sure
Find the measure of angle 1
HELP
Answer:
75°
Step-by-step explanation:
The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then
∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°
Find the value of -8 - 12 - (-20).
24
-40
16
0
Answer:
it's = 0
you have to use the steps of maths
tep Looking at the powers of 3 shown, it is clear that each power may be found by multiplying the previous power by 3. Or you can also see that each power may be found by dividing the power after it by 3. Using this pattern, what must 31 equal?
Answer:
56-770-=76880-87760-7765676r[790-0698--978644870
Step-by-step explanation:
lol
Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls.
What is the probability that he catches 2 red balls and 1 ball of each of the other colors?
Answer:
81/792 or 9/88 or 10.2%
Step-by-step explanation:
Possibility: nCr(12,5) = 792
Red: nCr(3,2) = 3
Blue, Green, White: nCr(3,1) = 3
3 * 3 * 3 * 3 = 81
81/792 simplified is 9/88 percentage is 10.22%
The probability that Jamal will catch 2 red balls and 1 ball of each of the other colors is 0.1025.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lies in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
The total numbers of balls are 12.
Each color has 3 balls.
If total 12 balls are tossed, the number of ways of catching 5 of them is,
¹²C₅ = 792
The number of ways of catching 2 red balls out of 3 is ³C₂ = 3
The number of ways of catching 1 green ball out of 3 is ³C₁ = 3
The number of ways of catching 1 blue ball out of 3 is ³C₁ = 3
The number of ways of catching 1 white ball out of 3 is ³C₁ = 3
Thus, the probability as per the question is given as follows,
(3 × 3 × 3 × 3)/792
= 81/792
= 0.1025
Hence, the probability of catching 2 red balls and 1 ball of each of the other colors is 0.1025.
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A rectangular prisim has a base with an area of 200cm squared. The volume of the prism is 3,000cm cubed. What is the height of the prism?
Answer:
[tex]Height = 15cm[/tex]
Step-by-step explanation:
Given
[tex]Base\ Area = 200cm^2[/tex]
[tex]Volume = 3000cm^3[/tex]
Required
The height
Volume is calculated as:
[tex]Volume = Base\ Area * Height[/tex]
Make Height the subject
[tex]Height = \frac{Volume}{Base\ Area}[/tex]
This gives
[tex]Height = \frac{3000cm^3}{200cm^2}[/tex]
[tex]Height = \frac{3000}{200}cm[/tex]
[tex]Height = 15cm[/tex]