Answer:
x=24
Step-by-step explanation:
x/6=4
4*6=x
x=24
round to the nearest whole number !
round 53/6 to the nearest whole number
round 203/10 to the nearest whole number
round 73/5 to the nearest whole number
53/6, 203/10 and 73/5 rounded to the nearest whole number are 9, 20 and 15 respectively
How to round numbers to the nearest whole number?Approximation is the process of using rounded values when presenting numerical data and making rough calculations.
The digits 1,2,3 and are rounded down and digits 5,6,7,8 and 9 are rounded up.
The numbers can be rounded to the nearest whole number as follows:
53/6 = 8.83 = 9 (round up)
203/10 = 20.3 = 20 (round down)
73/5 = 14.6 = 15 (round up)
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A retail company estimates that if it spends x thousands of dollars on advertising during the year, it will realize a profit of P ( x ) dollars, where P ( x ) = − 0.5 x 2 + 120 x + 2000 , where 0 ≤ x ≤ 187 . a . What is the company's marginal profit at the $ 100000 and $ 140000 advertising levels? P ' ( 100 ) = P ' ( 140 ) = b . What advertising expenditure would you recommend to this company? $
Answer:
Step-by-step explanation:
If the profit realized by the company is modelled by the equation
P (x) = −0.5x² + 120x + 2000, marginal profit occurs at dP/dx = 0
dP/dx = -x+120
P'(x) = -x+120
Company's marginal profit at the $100,000 advertising level will be expressed as;
P '(100) = -100+120
P'(100) = 20
Marginal profit at the $100,000 advertising level is $20,000
Company's marginal profit at the $140,000 advertising level will be expressed as;
P '(140) = -140+120
P'(140) = -20
Marginal profit at the $140,000 advertising level is $-20,000
Based on the marginal profit at both advertising level, I will recommend the advertising expenditure when profit between $0 and $119 is made. At any marginal profit from $120 and above, it is not advisable for the company to advertise because they will fall into a negative marginal profit which is invariably a loss.
A 12-ounce sports drink costs $0.99, and a 16-ounce sports drink costs $1.19. Which size is the best buy?
Answer:
The best buy is the 16-ounce drink
Step-by-step explanation:
here, we see that,
12 ounce = 3/4 (16 ounce)
So, the price should reflect that,
i.e,
price of 12 ounce drink = 3/4 (price of 16 ounce drink)
By this metric,
Price of 12 ounce drink = 3/4 ( 1.19)
Price of 12 ounce drink = $0.8925
So, 12-ounce drink should cost $0.8925 but the actual drink costs $0.99,
So, it is more expensive than it should be,
So, the best buy is the 16-ounce drink
22+x≤40 The solution of the inequality is .
Answer:
Step-by-step explanation
\(\leq 40-22\\x\leq 18\)
Hope that helps
What’s the answer to If =3+23
, what is
when =1
and =2
?
The value of y when a = 1 and b = 2 is 22.
How to solve an equation?The equation of can be solved as follows: We will substitute the value of a and b in the equation to find the value of y.
Therefore,
y = 3ab + 2b³
Let's find y when a = 1 and b = 2
Hence,
y = 3(1)(2) + 2(2)³
y = 6 + 2(8)
y = 22
Therefore,
y = 22
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7/8 + 3 5/6= Put your answer in the comments
Answer:
4 17/24
Step-by-step explanation:
7/8 + 3 5/6
= 7/8 + 23/6
= 21/24 + 92/24
= 113/24
= 4 17/24
Find the inverse of A = 9, -2 -10, 7 , if it exists.
The inverse of matrix A, if it exists, is:
A^(-1) = [7/43, 2/43; 10/43, 9/43]
To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.
Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:
det(A) = (9 * 7) - (-2 * -10)
= 63 - 20
= 43
Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.
The formula to calculate the inverse of a 2x2 matrix is:
A^(-1) = (1/det(A)) * [d, -b; -c, a]
Plugging in the values from matrix A and the determinant, we have:
A^(-1) = (1/43) * [7, 2; 10, 9]
Simplifying further, we get:
A^(-1) = [7/43, 2/43; 10/43, 9/43].
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salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
prove that there is a 1-1 correspondence between the set of all positive integers and the set of all rational numbers
A one-to-one correspondence between the set of all positive integers and the set of all rational numbers exists.
By definition, any rational number can be expressed as a fraction a/b, where a and b are integers and b is nonzero. Since any positive integer can be expressed as the fraction a/1, each positive integer can be associated with a rational number a/1.
Thus, there is a one-to-one correspondence between the set of all positive integers and the set of all rational numbers. Furthermore, since any rational number a/b can be expressed as the product of a and b, it can also be associated with the product of two positive integers a and b.
Thus, there is also a one-to-one correspondence between the set of all rational numbers and the set of all positive integers.
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What is the place value of 1 of 574.8931.
a sample of ore is found to be 0.0015% gold and 0.034% copper. what is the percentage of matter in the ore that is neither gold nor copper? round your answer to the nearest ten thousandth
Simplify using the order of operations. 2+6*8=
Answer:
The answer is 50.
Step-by-step explanation:
Use MDAS
Multiplication, Division, Addition and Subtraction
2 + 6 * 8 =
Multiply first then add
2 + 6*8 = ?
= 2 + 48
= 50
If A denotes some event, what does denote? If P(A) , what is the value of P( )? A = 0.003 A What does denote? A A. Event denotes the complement of event A, meaning that and A share some but not all outcomes. A A B. Events A and share all outcomes. A C. Event denotes the complement of event A, meaning that consists of all outcomes in which event A does not occur. A A D. Event is always unusual. A If P(A) , what is the value of P( )?
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
Option B is correct
b
\(P(\= A ) = 0.997\)
Step-by-step explanation:
From the question \(\= A\) denote the compliment of A and what this mean is that \(\= A\) consist of all the outcomes in which event A does not occur
Given that P(A) = 0.003
Then the value of
\(P(\= A ) = 1- 0.003\)
\(P(\= A ) = 0.997\)
12. After 2 hours, Morgan had earned $12.75 at her lemonade stand. After 5
hours, she had earned $44.25. Assuming a linear function, write an
equation in the form y=mx+b that shows the profit earned from selling
lemonade for x hours.
Answer:
y = 10.5x - 8.25
Step-by-step explanation:
m = (44.25 - 12.75)/(5 - 2) = 10.5
y = mx + b
y = 10.5x + b
12.75 = 10.5 × 2 + b
b = -8.25
y = 10.5x - 8.25
Find the value of x.
a seed company sells two grades of grass seed. And hundred pound bag of a mixture of rye and Bluegrass sells for $255, and a hundred pound bag of Bluegrass sales for $348. How many bags of each are sold in the week when the receipts for 18 bags are $5334?
Answer:
8 bags of rye & bluegrass mix
10 bags of bluegrass
Step-by-step explanation:
RB = bags of rye & bluegrass mix
B = bags of bluegrass
348B + 255RB = 5334
RB+B = 18 then RB = 18-B
substitute for RB
348B + 255(18-B) = 5334
348B + 4590 - 255B = 5334
reduce
93B = 744
B = 8
RB = 10
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
what fraction is equivalent to 1.5/9
Answer:
1.5/9 = 1 1/2 / 9 = 3/2 /9 = 3/18 = 1/6
Step-by-step explanation:
The fraction that is equivalent to 1.5 / 9 is expressed as:
3/18.
How to Find the Equivalent Fraction?Equivalent fractions are different fractions that represent the same value or proportion, although they may have different numerators and denominators.
To find an equivalent fraction for 1.5/9, divide both the numerator and denominator by their greatest common divisor (GCD), which in this case is 0.5.
Dividing 1.5 by 0.5 and 9 by 0.5, we will have the following:
(1.5 ÷ 0.5) / (9 ÷ 0.5) = 3/18
Hence, the equivalent fraction for 1.5/9 is 3/18.
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What is the best Estimation for the product of 1.09 times 5.4 A.0x5=0 B.10x5=50 C.11x5=55 D.1x5=5
Answer: D) 1*5=5
Step-by-step explanation: 1.09*5.4=5.5 so the closest number to that is 5.The rest of the answer choices are not possible.
Write the numbers in order from least to greatest.
6.03 , 6 2/5, 6.2, 6 1/3
6.03 -> 6.2 -> 6 1/3 -> 6 2/5
good luck !! :)
Why is FOQZ the odd one out in
these sets of letters?
BCDEGPTV AJK FOQZ IY
The odd one out in the set is "FOQZ." It deviates from the pattern by the other sets, where the letters are arranged in Alphabetical order.
The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.
In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.
Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.
It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.
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Write an equation for the function graphed below
The rational function graphed in this problem is defined as follows:
y = -2(x - 1)/(x² - x - 2).
How to define the rational function?The vertical asymptotes of the rational function for this problem are given as follows:
x = -1 and x = 2.
Hence the denominator of the function is given as follows:
(x + 1)(x - 2) = x² - x - 2.
The intercept of the function is given as follows:
x = 1.
Hence the numerator of the function is given as follows:
a(x - 1)
In which a is the leading coefficient.
Hence:
y = a(x - 1)/(x² - x - 2).
When x = 0, y = -1, hence the leading coefficient a is obtained as follows:
-1 = a/2
a = -2.
Thus the function is given as follows:
y = -2(x - 1)/(x² - x - 2).
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After 30 baseball games Aaron Smith had 24 hits. If after 100 games he had 80 hits, what is his average hits per baseball game?
Aaron Smith would has average hits per baseball game as 0.79 hits per game.
What is the interpretation of average?Average provides ill information in case of skewed data.
Arithmetic mean is the best central measure available for representing the values of a data set. It is also called average of the values of the considered data set. It serves as predicted value(in case no other information of the data is available) of that data set.
WE have been given that After 30 baseball games Aaron Smith had 24 hits. If after 100 games he had 80 hits, then he would has average hits per baseball game;
Average = Hits in game / number of games
Average = 24- 80 / 30-100
Average = 56 / 70
Average = 0.79 hits per game
Hence, Aaron Smith would has average hits per baseball game as 0.79 hits per game.
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On a trip to the grocery store, Zach purchased 7 pounds of fruits and vegetables. How many
kilograms is 7 pounds? Round your answer to the nearest hundredth of a kilogram.
Answer:
3.18 kg
Step-by-step explanation:
It is given that, Zach purchased 7 pounds of fruits and vegetables.
We know that,
1 kg = 2.20462 pounds
It means that, 1 pound = 0.453592 kg
We need to find how kilograms is 7 pounds. So multiply 7 by 0.453592 to convert into kg.
So,
7 pound = 3.17515 kg
or
7 pounds = 3.18 kg
So, the weight of fruits and vegetables is 3.18 kg.
What is the quotient of (x4 + 10x3 + 21x2 + 6x – 8) ÷ (x + 2)? Question 8 options: A) x3 + 8x2 + 5x – 4 + 2∕x + 2 B) x3 + 8x2 + 5x + 4 C) x3 + 8x2 + 5x – 4 + 2∕x - 2 D) x3 + 8x2 + 5x – 4
Answer: C
Step-by-step explanation: Hope this help :D
Pls help with math !!!
Kevin's kick can be considered the best among the four.
To determine the most impressive kick, we can compare the distances and heights achieved by each player.
Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.
Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.
Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.
Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.
Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.
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What is cos(tan^-1(-2/3))=
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
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PLEASE HELP! A) 2.9 B) 9.2 C) 3.3 D) 5
Answer:
9.2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 57 = x/6
6 tan 57 = x
9.239189783 = x
9.2 =x
Answer:
x = 9.2
Step-by-step explanation:
Step 1: Find out what primary trigonometry ratio is needed
The give us the adjacent and the angle. We need to find the opposite value so we will use tangent
Step 2: Plug in information and solve
\(tan(57)=\frac{x}{6} \\x=6tan(57)\\x=9.239\)
Therefore x= 9.2
I need help Nkaocjsjbsiss
Answer:
46
Step-by-step explanation:
it wouldn't change if it was to be rotated
In the Special Right Triangle below, solve for the value of y. Y = _____ (keep your answer in simplest radical form)
Options
5
5√2
10
10√2
Answer:
Value of Y = 5√2 units
Step-by-step explanation:
Given:
Perpendicular = X
Base = Y
Hypotenuse = 10
Find:
Value of Y
Computation:
Cos θ = Base / Hypotenuse
Cos 45 = Y / 10
1/√2 = Y / 10
Value of Y = 5√2 units