In linear equations, -6 was in his account then .
What are instances of linear equations?
Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).Kiran had $24 in her account
24-16=8
28-8=20 he deposited $20
he spent $34 on lunches in the next week.
28-34= -6 his account balance was -6
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The complete question is -
At the Beginning of the month Kiran had $24 in his school cafeteria account. Then he spent $34 on lunches in the next week. How much was in his account then?
Convert 40 kg to lbs
40 kilograms is equal to approximately 88.1849 pounds (lbs). both are unit of measurement of weight.
The pound (lb) and kilogram (kg) are both units of measurement for weight or mass. The kilogram is the base unit of mass in the International System of Units (SI) and is defined as exactly equal to the mass of a cylinder of platinum-iridium alloy kept at the International Bureau of Weights and Measures.
One kilogram is equal to 2.20462262 pounds.To convert kilograms to pounds, you multiply the number of kilograms by 2.20462262 which is its conversion factor . So, to convert 40 kilograms to pounds, you would multiply 40 by 2.20462262 which would give you 88.1849.It's important to note that the conversion between kilograms and pounds are not exact and there may be slight variations depending on the specific application or context.
It's also important to note that the precision of the conversion result depends on the precision of the input, if you know the weight is 40 kg with 0.1kg precision, the result will be 88.1849 with the same precision.In everyday life, you may use both units depend on the context, for example, body weight is usually measured in pounds in the US, and in kg
in most other countries, where as, weight of heavy machinery or cargo is measured in tons (metric ton or imperial ton)
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Simplify by combining like terms.
1) 4x + 3p + 3p + 6x
10x + 6p
Step-by-step explanation:Hi there !
4x + 3p + 3p + 6x =
= (4x + 6x) + (3p + 3p)
= x(4 + 6) + p(3 + 3)
= x·10 + p·6
= 10x + 6p
Good luck !
Solve the inequality: 8 < x + 2 < 20
\(8 < x+2 < 20\)
a) Add -2 to all sides.
\(8+-2 < x+2-2 < 20+-2\)
\(6 < x < 18\)
Your answer would be \(6 < x < 18\)
Your answer should be: (6,18)
Mind explaining anyone?
Answer:
5
Step-by-step explanation:
Since she seems to be burning a constant (same) amount of calories per minute we can find the answer with simple division. So in 45 minutes she burned 225 calories, think about how much she would burn in 1 minute. To find the answer you would divide 225/45 to get 5. If you want to check this answer you could multiply 5 by the number of minutes she hiked and see if it matches up with the table. (ex. 90*5=450).
Direct, inverse, or neither?: xy = 15
a card is selected from a deck of 52 cards. what is the probability that it is a queen? what are the odds in favor
Step-by-step explanation:
There are FOUR queens in a deck of 52 cards
4/52 chance of selecting a queen = 1/13 chance = .07692 chance
Dinesh has twice as many toffees as Vikas has. if both together have 18 toffees, how many toffees does Dinesh have more than Vikas?
Tia, Will, and Ana each have some pennies, nickels, and dimes. The table provides information about the number of coins each person has. Complete questions 1
The subject of this question is Mathematics and it involves counting and working with coins.
Explanation:The subject of this question is Mathematics as it involves counting and working with coins.
Tia has 12 coins in total, consisting of 6 pennies, 3 nickels, and 3 dimes. Will has 15 coins, with an equal number of pennies, nickels, and dimes. Ana has a total of 9 coins, with 2 pennies, 4 nickels, and 3 dimes.
In summary, the question involves counting the number of coins each person has, which can be solved using basic arithmetic and understanding of coin values.
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Which graph represents the equation y=−32x−3?
Answer:
Step-by-step explanation:
So first you do y=z and1+2=3 so 6=y=-0 is your answer :)
A computer that originally cost $850 is on sale for
15% off. What is the sale price of the computer?
Answer: 722.5 this is after sale
What is the result when the number 31 is increased by 8% round your answer to the nearest 10th
The result when the number 31 is increased by 8% and rounded to the nearest tenth is 33.5.
To find the result when the number 31 is increased by 8%, we can calculate 8% of 31 and add it to 31.
8% of 31 can be found by multiplying 31 by 0.08:
8% of 31 = 31 * 0.08 = 2.48
Now, we add this result to 31:
31 + 2.48 = 33.48
Rounding this answer to the nearest tenth, we get:
33.5
Therefore, the result when the number 31 is increased by 8% and rounded to the nearest tenth is 33.5.
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Evaluate 6 + x when x = 3.
Answer:
6 + x = 9
Step-by-step explanation:
We know that x = 3, and that we need to add x (which equals 3) to 6.
So, all we need to do is add 6 + 3.
6 + x = 9
We know this because for the expression 6 + x, we replace x with it's given value, which is 3.
⬇
6 + 3 = 9
Consider the tennis balls shown in the accompanying figure. Assume that one tennis ball is randomly selected. Determine the probability that the ball selected shows an odd number, given that the ball is yellow 3 ( 4 ) 5 6 orange orange orange yellow yellow green
To determine the probability that the ball selected shows an odd number, given that the ball is yellow, we need to consider the number of favorable outcomes (yellow balls showing odd numbers) and the total number of possible outcomes (yellow balls).
From the given information, we can identify two favorable outcomes: the yellow balls numbered 3 and 5.
Therefore, the probability that the ball selected shows an odd number, given that the ball is yellow, is:
Probability = (Number of favorable outcomes) / (Number of total outcomes)
= 2 / 3
= 2/3 ≈ 0.6667
Probability that the ball selected shows an odd number, given that the ball is yellow, is approximately 0.6667 or 66.67%.
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which part in the steering column allows for changes in the angle between the upper and lower shafts?
The part in the steering column that allows for changes in the angle between the upper and lower shafts is the universal joint.
The universal joint, also known as a U-joint or Cardan joint, is a mechanical device that enables changes in the angle between two shafts that are not in a straight line. In the context of a steering column, the upper and lower shafts are connected by a universal joint.
As the steering wheel is turned, it exerts rotational force on the upper shaft of the steering column. The universal joint allows for the transmission of this rotational motion while accommodating changes in the angle between the upper and lower shafts. It provides flexibility and compensates for any misalignment between the two shafts, ensuring smooth and continuous rotation of the steering column.
The universal joint typically consists of two yokes connected by a cross-shaped component with needle bearings. These bearings allow for rotation in multiple axes, allowing the steering column to handle variations in the angle between the upper and lower shafts during steering movements.
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Given r = -2.n = -3,6 = 3, evaluate:
18-1 + 3
Answer:
20.
Step-by-step explanation:
so you subtract 18-1 which is 17 then you add 3 which is 17+3= 20.
Select the correct description for the polar function, r = 6 sin
The correct description for the polar function, r = 6sin(θ) is: D. Circle symmetric on the line theta = 0, with a radius of 6.
The conversion of polar coordinates.In Mathematics, the relationship between the polar coordinates (r, θ) and rectangular coordinates (x, y) is given by these polar functions:
On the horizontal plane:
x = rcosθ
On the vertical plane:
y = rsinθ
Where:
θ is the angle.r is the diameter of a circle.In conclusion, the correct description for the polar function, r = 6sin(θ) is circle symmetric on the line with an angle (θ) equal to zero (0) and a radius of 6.
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Which expressions below equal a rational number? Select all that apply
Answer:
2/3 + 4/5
√3 - √3 ( = 0)
√49 - √1
Step-by-step explanation:
Expressions representing a rational numbers are B , D and E
What are rational numbers?A number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.
What are irrational numbers?Irrational number, any real number that cannot be expressed as the quotient of two integers.
How to find which expressions given equal a rational number?Firstly, we know that π is an irrational number .
So π x √4 = 2π
2π is an irrational number and so option A cannot represent a rational number.
2/3 + 4/3 = 6/3 = 2
Since 2 is a rational number, we can say option b represents a rational number\(\sqrt{36} + \sqrt{5}\)
= 6 + \(\sqrt{5}\)
We, know that \(\sqrt{5}\) is an irrational number , So option C cannot represent a rational number.\(\sqrt{3} - \sqrt{3} = 0\)
0 is a rational numberSo, option D represents a rational number.
\((\sqrt{49} )(\sqrt{1} ) \\= 7\)
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Joshua has 245 feet of fence. His rectangular yard is 54 feet by 78 feet. Does Joshua have enough fence for his yard?
We can calculate the perimeter of the rectangular yard to find out how much fence Joshua needs:
\(P=2(78+54)=2(132)=264ft\)since the perimeter of the yard is 264 yards, then Joshua does not have enough fence for his yard, since he only has 245 t of fence, and he needs 264ft
what's the value of x
Answer:
x = 122°
Step-by-step explanation:
There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .
Exterior angle is an angle formed from one side of the polygone and the extended side so
<A and <B are remot angle and <BCD is exterior angle .
And we write the equetion as
<A + <B = <BCD
58° + 64° = x°
122° = X°
so the exterior angle ( x ) measures 122° .
Exponential Functions Knowledge 1. Evaluate using exponent laws. Show all steps. a) 64-16 b) 814 (4/5) 2. Simplify using exponent laws. Show all steps. Use only positive exponents i
To evaluate and simplify expressions using exponent laws, we can apply the rules and properties that govern the behavior of exponents.
By understanding and applying these laws, we can manipulate and simplify exponential expressions. In the given questions, we will evaluate the expression 64-16 using exponent laws and simplify the expression i by using only positive exponents.
a) To evaluate 64-16, we can rewrite it as (2^6) / (2^4) using the exponent law for division. According to the law of exponents, when dividing two exponential expressions with the same base, we subtract the exponents. Therefore, 64-16 = 2^(6-4) = 2^2 = 4.
b) To simplify 814 (4/5), we can rewrite it as (8^1) (14^1) (4/5) using the exponent law for multiplication. According to the law of exponents, when multiplying exponential expressions with the same base, we add the exponents. In this case, we have 8^1, 14^1, and (4/5)^(1), which all have an exponent of 1. So, the simplified expression is 8 * 14 * (4/5) = 448/5.
For the expression i, if we are referring to the imaginary unit, it does not involve exponents since it is a constant. Therefore, no exponent laws are applicable, and there is no further simplification possible.
By understanding and applying the exponent laws correctly, we can evaluate and simplify exponential expressions efficiently.
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You have 2500 ft.² of selling space you want to reserve at least 125 ft.² for each product category will carry 30% of the space will be used for isles how many categories can you carry
The most appropriate choice for percentage will be given by-
14 categories can be carried
What is Percentage?
Percentage is a ratio expressed as a percentage of 100.
Total area of selling space = \(2500 ft^2\)
Percentage of space used for isles = \(30\) %
Area of space used for isles = \(\frac{30}{100} \times 2500\)
= \(750 ft^2\)
Area of space left = \(2500 - 750\)
= \(1750 ft^2\)
Area of space reserved for each category = \(125 ft^2\)
No of categories = \(\frac{1750}{125}\)
= \(14\)
14 categories can be carried
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Given a number line C=11 D=12 CD=?
Solution
For this case we can find Cd as the difference between D and C
DC = 13-11= 2
Triangular prism please help
Answer:
C
Step-by-step explanation:
Julian works in an amusement park and is helping decorate it with strands of lights. This morning, he used a total of 56 strands of lights to decorate 1 bush and 5 trees. This afternoon, he strung lights on 1 bush and 2 trees, using a total of 26 strands. Assuming that all bushes are decorated one way and all trees are decorated another, how many strands did Julian use on each?
Answer:
Step-by-step explanation:
16 strands
3n + 75 = 50 + 2n what does the n equalin the equation
Answer:
n= -25
Step-by-step explanation:
Answer:
-25
Step-by-step explanation:
Move 2n to the other side to subtract it 3n-2n=n and move 75 to the other side to balance the equation 50-75=-25 so n=-25
37. Ten people ordered calculators. The least expensive was
$19.95 and the most expensive was $39.95. Half ordered a
$29.95 calculator. Select the best estimate of the amount
spent on calculators.
a. $240
b. $310
c. $345
SECTION
d. $355
An G
spelle
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Exer.
The amount spent on calculators is $310 which is option (b) .
The class upper bound is the largest data value that the class can contain. The class lower bound of a class is the smallest data value that the class can contain. The average is the average of the given numbers, calculated by dividing the sum of the given numbers by the total number of numbers.It is given that half people ordered $29.95 calculator which means that 5 people have ordered $29.95 per calculator then , amount is given by
(number of people ) × cost per calculator = total amount spent
\(5\times29.95=\$149.75\)
It is given that least expensive calculator was $19.95 and the most expensive calculator was $39.95.
Mean will be \(=\frac{least\ + \ most}{2}\)
\(=\frac{19.95+39.95}{2} \\\\=\frac{59.9}{2} \\\\=29.95\)
so the other 5 people have spent an average of amount \(=5\times29.95\)
\(=\$149.75\)
Total amount spent on calculators will be \(=149.75+149.75=\$299.5\)
which is approximately equal to $310 which is option (b) .
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True or false, 0 is a solution to 2x + 10 = 4x + 10
grue
O False
Answer:
True
Step-by-step explanation:
You can either solve for x (which produces 0 as the result) or you can plug zero in for x into the original equation to verify that it produces a true statement.
Answer:
TRUEStep-by-step explanation:
True or false, 0 is a solution to
2x + 10 = 4x + 10
2x - 4x = 10 - 10
-2x = 0
x = 0/-2
x = 0
the equation is TRUE
suppose after graduating from msba, you work for a survey research company. in a typical survey, you mail questionnaires to 150 companies. some of these companies might decide not to respond. assume that the nonresponse rate is 45%; that is, each company's probability of not responding, independently of the others, is 0.45.
The expected number of companies that might not respond is 67.5.
Based on the given information, we can model the nonresponse rate using a binomial distribution. Let's define the following variables:
n = Number of questionnaires mailed = 150
p = Probability of not responding = 0.45
To determine the number of companies that might not respond, we can calculate the probability of different scenarios using the binomial distribution formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
X represents the number of companies that do not respond.
k represents the number of companies that do not respond.
C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)
To find the probability of a specific number of companies not responding, we substitute the values of n, p, and k into the formula.
For example, to find the probability that exactly 70 companies do not respond, we can calculate:
P(X = 70) = C(150, 70) * 0.45^70 * (1 - 0.45)^(150 - 70)
To find the expected number of nonresponses, we can use the formula:
E(X) = n * p
In this case:
E(X) = 150 * 0.45
So the expected number of companies that might not respond is 67.5.
Note: The binomial distribution assumes independent and identically distributed trials, so it is important to ensure that the assumption holds in the given scenario.
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1. 18 is 30% off what number
2. 10 is 25% of _______
3. 54 is 9% of _______
4. 45 is 75% of _______
What is the slope of the line whose equation is
4x = 3(y + 8)?
Answer:
x= 3/4y + 6
Step-by-step explanation:
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