Answer:
Step-by-step explanation:
3,000 divided by the 500 is 6. It would take 6 days.
When you come across problems like this usually the best way to answer them is d (distance) divided by s (speed, miles per day, miles per hour, miles per second, etc.).
Which expression is equivalent to 12(5 - 4x)?
Answer:
12x
Step-by-step explanation:
12(5-4x)=60-48x
=12x
Place the numbers in order from least to greatest.
= 0.059
0.11
0.09
0.0099998
0.111
The order of numbers from least to greatest :
0.0099998 < 0.059 < 0.09 < 0.11 < 0.111 .
Given, numbers 0.059 , 0.11 , 0.09 , 0.0099998 , 0.111 .
Ascending order : When the set of numbers are to be arranged in least to greatest order.
Descending order : When the set of numbers are to be arranged in greatest to least order.
Now the numbers are to be arranged in ascending order.
Least number : 0.0099998
Second least number : 0.059
Third least number : 0.09
Fourth least number : 0.11
Greatest number : 0.111
Thus the order of numbers in ascending order will be least to greatest .
0.0099998 < 0.059 < 0.09 < 0.11 < 0.111
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Mickey bought lunch for his fellow office workers on Monday. He spent $24.20 on 3 hamburgers and 2 fish sandwiches. Chloe bought lunch on Tuesday and spent $23.60 for 4 hamburgers and 1 fish sandwich. What is the price of 1 hamburger, and what is the price of 1 fish sandwich?
The price of 1 hamburger is $4.6 and 1 fish sandwich is $5.2
Calculations and ParametersLet 1 hamburger be x
Let 1 fish sandwich be y
Thus, we have:
3x + 2y= 24.20...... eq 1
4x + y= 23.60........ eq 2
Let's use the substitution method here:
Make y the subject formula in eq 2
y= 23.60 - 4x......... eq 3
Put the value of y into eq 1
3x + 2(23.60 - 4x) = 24.20
3x + 47.2 - 8x = 24.20
-5x + 47.2 = 24.20
Exchange values to eliminate the negative symbol
5x = 47.2- 24.20
5x= 23
x= 4.6
Put the value of x into eq 3
23.60- 4(4.6)
y= 23.60-18.4
y= $5.2
Therefore, the price of 1 hamburger is $4.6 and 1 fish sandwich is $5.2
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Given the graph of f(x) Determine f(- 2) and type in your answer below.
Find the value of x.
Find the unit price.
$6.42 for 3 pounds
Answer:
$2.14 per pound
Step-by-step explanation:
To find this: do 6.42 divided by 3, will give you the unit price
there is 1/3 of an apple pie left after the bake sale. Four people would like to share it equally. what portion of the original pie will each person get?
Answer:
Each person would get 1/12 of the original pie
Step-by-step explanation:
3×4=12 1/3÷4=1/12
What does Bisects mean
Please help me gemotry
Answer:
45°
Step-by-step explanation:
59 + x + 80 + 49 + x = 180 the sum of the interior angles of a triangle equal 180 Combine the like terms
2x + 188 = 180 Subtract 1588 from both sides
2x = -8 divide both sides by 2
x = -4 Now plug this in for A
49 + x
49 -4 = 45
What is the difference of the polynomials?
(-2x³y² + 4x²y³ - 3xy) - (6x4y-5x²y³ -y5)
-6x4y-2x³y² + 9x²y³ - 3xy + y5
-6x¹y-2x³y²-x²y³ - 3xy-y5
O-6x¹y + 3x³y² + 4x²y³ - 3xy + y5
-6xªy-7x³y²
+ 4x²y³ - 3xy-y5?
Answer:
(a) -6x⁴y-2x³y² + 9x²y³ - 3xy + y⁵
Step-by-step explanation:
You want the difference of polynomials (-2x³y² + 4x²y³ - 3xy) - (6x⁴y-5x²y³ -y⁵).
SimplifyingThe difference expression is simplified by using the distributive property and combining like terms.
(-2x³y² + 4x²y³ - 3xy) - (6x⁴y-5x²y³ -y⁵)
= -2x³y² + 4x²y³ - 3xy - 6x⁴y + 5x²y³ + y⁵ . . . . distribute the minus sign
= -6x⁴y -2x³y² +(4x²y³ +5x²y³) -3xy +y⁵ . . . . . group like terms
= -6x⁴y -2x³y² +(4 +5)x²y³ -3xy +y⁵ . . . . . . . . combine like terms
= -6x⁴y -2x³y² +9x²y³ -3xy +y⁵
__
Additional comment
The terms here are written in "lexicographical" order. All terms with x are listed before any terms that do not have x. If they were listed in "standard form," terms of the same degree would be listed in lexicographical order, and terms of lower degree would be listed later. That would have the effect of interchanging the last two terms.
The difference of the value of polynomials is -6x⁴y -2x³y² +9x²y³ -3xy +y⁵
What is polynomials?A polynomial is an expression in mathematics that consists of indeterminates (also known as variables and coefficients) and only uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an illustration of a polynomial of a single indeterminate x. x3 + 2xyz2 yz + 1 is an illustration with three variables.
Numerous branches of mathematics and science make use of polynomials. For example, they are used to define polynomial functions, which appear in contexts ranging from basic chemistry and physics to economics and social science, and they are used to approximate other functions in calculus and numerical analysis.
Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems.
Lets simply the polynomials
⇒ (-2x³y² + 4x²y³ - 3xy) - (6x⁴y-5x²y³ -y⁵)
= -2x³y² + 4x²y³ - 3xy - 6x⁴y + 5x²y³ + y⁵
= -6x⁴y -2x³y² +(4x²y³ +5x²y³) -3xy +y⁵
= -6x⁴y -2x³y² +(4 +5)x²y³ -3xy +y⁵
= -6x⁴y -2x³y² +9x²y³ -3xy +y⁵
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According to the United States Department of Agriculture (USDS), people living in the U.S. consumed
211,219,000,000 pounds of dairy in 2018. Of the amount consumed, 12,408,000,000 pounds were in
the form of cheese.*
Part A: Based on the information above, what percentage of diary consumed in 2018 was from
cheese? Round to the nearest tenth of a percent.
O 2.5%
5.9%
58.7%
O 17.0%
Answer:
O 2.5%
Step-by-step explanation:
In a small private school, 6 students are randomly selected from 11 available students. What is the probability that they are the six youngest students?
Answer:
[tex]\boldsymbol{\boxed{\dfrac{6}{11} }}[/tex]
Step-by-step explanation:
According to the classical definition of probability:
[tex]P(A) = \dfrac{m}{n}[/tex]
A - event
m - number of favorable outcomes
n - number of adverse outcomes
According to the task:
A - choose a student
m - 6 students
n - 11 students
[tex]\boldsymbol{\boxed{P(A) = \dfrac{6}{11} }}[/tex]
A square with an area of 64 cm² is reduced by a factor of 1/4 how long are the new sides of the square
Answer: The answer is 4cm
Step-by-step explanation:
64x1/4 = 16cm2
x2=16
x=4
so the answer is 4cm
hope this helps:)
12 - 15 divided by 3 - 3
Answer: 12-(15/3)-3 = 4
Step-by-step explanation:
12-(15/3)-3 = 4
. Solve the inequality below using Andre’s strategy and using Priya’s strategy 1/5 p > -10
The solution to the inequality expression 1/5 p > -10 is p > -50
What are inequality expressions?Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
How to solve the inequality?The inequality expression is given as
1/5 p > -10
Multiply both sides of the inequality by 5
So, we have
5 * 1/5 p > -10 * 5
Evaluate the product
So, we have:
p > -10 * 5
Evaluate the product
So, we have:
p > -50
Hence, the solution to the inequality expression 1/5 p > -10 is p > -50
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you are dealt a 7 card hand from a standard deck of 52 cards, how many hands are possible containing 3 clubs and 4 diamonds? what is the possibility of selecting a hand with 3 clubs and 4 diamonds?
Based on the fact that there are 52 cards in the standard deck and you are dealt a 7 card hand, the number of possible hands containing 3 clubs and 4 diamonds is 204,490.
The possibility of selecting a hand with 3 clubs and 4 diamonds is 0.001529.
How many hands are possible?The number of possible hands can be found as the combination of picking 3 clubs from 13 club cards and 4 diamonds from 13 diamonds card.
This gives us:
= C (13, 3) x C (13,4)
=(13! /(3! x (13 - 3 )!) x (13! / (4! x (13 - 4)!)
= 204,490 hands
The possibility of selecting a hand with 3 clubs and 4 diamonds is:
= Number of possible hands with 3 clubs and 4 diamonds / Number f possible hands from 52 card deck
= 204,490 / 133,784,560
= 0.001529
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(NEED HELP FAST!! 100 POINTS!!) The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
The total price of the financed is $7,973
The total finance charges are $2,272.31
The monthly payment if the vehicle is financed for 3 years is $284.59
What is the impact of trade-in allowance on selling price?
The trade-in allowance on the car's selling price reduces the total amount the car dealer would charge a tax of 8% on.
selling price net of trade in allowance=$8850-$1500
selling price net of trade-in allowance=$7,350
the selling price plus sales tax=$7350*(1+8%)
the selling price plus sales tax=$7,938.00
total cost including title fee =$7,938+$35
total cost including title fee=$7,973
finance charges for 3 years=$7,973*9.5%*3
finance charges for 3 years=$2,272.31
monthly payment=($7,973+$2,272.31)/36
monthly payment=$284.59
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7. Apply Star A is 12 billion years old. Star B is in the same cluster. About how old is Star B? Why?
Star B is roughly 12 billion years old as star A.
What is the time?Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.In the situation given in the question where start A is 12 billion years old and star B is from the same cluster as star B.
It is completely possible that star B is also approximately 12 billion years old as in a cluster of stars many many stars form together or in a very small gap of time.So, it is completely possible that star B is roughly 12 billion years old.Therefore, star B is roughly 12 billion years old.
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Ana's gymnastics
scores were posted on the scoreboard in order from highest to lowest score. One digit in her floor score is not visible. List all the possible digits for the missing number.
15/ Finley's vault score is 15.050. How does
The digits for the missing number are 1, 2, 3, 4.
The difference between her vault score and her uneven bar score is 0.367
How to illustrate the information?The floor score must be higher than 15.133 and lower than 15.500
The missing digit must be an integer.
Then all the possible scores are: 15.166 , 15.266 , 15.366 and 15.466
Because 15.166 > 15.133 and 15.466 < 15.500
Then all the possible digits are 1 , 2 , 3 , 4
The difference between her vault score and her uneven bar score is
= 15.500 - 15.133
= 0.367
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Ana’s gymnastics scores were posted on the scoreboard in order from highest to lowest score. One digit in her floor score is not visible. List all the possible digits for the missing number.
Vault- 15.500
Floor- 15._66
Uneven Bars- 15.133
Beam- 14.200
What is the difference between her vault score and her uneven bar score?
If a man walks six feet per second, how many minutes will it take for to
walk 5400 feet?
[tex] \large \bf \implies{15 \:minutes}[/tex]
Step-by-step explanation:In this question speed remain same
[tex] \bf \longrightarrow{Apply \: \frac{d_1}{d_2} = \frac{t_1}{t_2} }[/tex]
[tex] \bf \longrightarrow{\frac{6}{5400} = \frac{1}{t_2} }[/tex]
[tex] \bf \longrightarrow{t_2 = 900 \: second}[/tex]
Convert this second into minutes
[tex] \bf \longrightarrow{1min = 60sec} \\ \bf \longrightarrow{1sec = \frac{1}{60} min} \\ \bf \longrightarrow{ \frac{900}{60} = 15min}[/tex]
Therefore, A man take 15 minutes to walk 5400 feet.Triangle PQR with vertices P(-4, 0), Q(-6, -3), and R(-5,-5):
a) reflection in the line x = -2
b) dilation with scale factor of 3 using (-1, -4) as the center
a) reflection in the line x = -2 is P'Q'R' is shown.
b) The coordinates of image P'Q'R' are
(-12, 0), (-18, -9), R(-5,-5) respectively.
What is defined as the dilation?Dilation is a transformation that allows you to resize an object. Dilation is a technique for making objects larger or smaller. This transformation yields an image that is identical to the original shape. However, there is a size difference in the shape.Part a) reflection in the line x = -2
When the triangle PQR with the coordinates P(-4, 0), Q(-6, -3), and R(-5,-5) made a reflection along the x = -2, the coordinates of the image are obtained as;
See the graph; image triangle P'Q'R';
P' = (0, 0)
Q' = (2, -3)
R' = (1, -5)
Part b) dilation with scale factor of 3 using (-1, -4) as the center.
Let the coordinates are;
(x, y) ---> (kx, ky); where k is the scale factor i.e, 3.
This can be written as; (3x, 3y).
For the point P(-4, 0).
The image of P' = (-4×3, 0×3) = (-12, 0)
For the point Q(-6, -3)
The image of Q' = (-6×3, -3×3) = (-18, -9)
For the point R(-5,-5)
The image of P' = (-5×3, -5×3) = (-15, -15)
Therefore, the image with the dilation of scale factor of 3 is P'Q'R' are
(-12, 0), (-18, -9), R(-5,-5) respectively.
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helpppppp ur gurlllll out
Answer:
The top right and left are function. The top middle is not.
The bottom left is not a function and the bottom middle and bottom right are functions.
Step-by-step explanation:
To be a function every input can only have one output.
The top middle is not a function because the input -7 cannot have an output of 5 and 4.
the bottom right is not a function because the input-3 cannot have the output 11 and 19.
someone help me please fast
In first diagram;
The value of x is 25.
In second diagram;
The value of x is 35.
In third diagram;
The value of x is 29.
In fourth diagram;
The value of x is 400.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Now, In first diagram;
The pattern is given as;
2 × 3 + 4 × 1 = 10
5 × 2 + 3 × 2 = 16
Hence, The value of x = 3 × 5 + 5 × 2
= 15 + 10
= 25
In second diagram;
The pattern is given as;
1 × 2 × 3 = 6
4 × 4 × 5 = 80
Hence, The value of x = 1 × 5 × 7
= 35
In third diagram;
The pattern is given as;
4 × 9 + 2 = 38
8 × 6 + 3 = 51
Hence, The value of x = 4 × 6 + 5
= 29
In fourth diagram;
The pattern is given as;
5 × 2 = 10 and 10 × 10 = 100
3 × 2 = 6 and 6 × 6 = 36
Hence, The value of x = 4 × 5 = 20 and 20 × 20 = 400
So, In first diagram;
The value of x is 25.
In second diagram;
The value of x is 35.
In third diagram;
The value of x is 29.
In fourth diagram;
The value of x is 400.
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If the point (4,1) is a point on the graph of f, then f( __ )____.
use each graph to determine an equation of the circle in (a) center radius form and (b) general form
The graph to determine an equation of the circle in
(a) center radius form
(b) general form
(x -3)² +(y -1)² = 4 . . . . center-radius form
x² +y² -6x -2y +6 = 0 . . . . general form
The "center-radius" form is
(x -h)² +(y -k)² = r² . . . . . . . circle with center (h, k) and radius r
The graphed circle has its center at (3,1) and a radius of 2. Putting these numbers into the above form gives the equation
(x -3)² +(y -1)² = 4 . . . . center-radius form
Expanding the parentheses, we get
x² -6x +9 +y² -2y +1 = 4
Subtracting 4, and putting in general form, the equation becomes ...
x² +y² -6x -2y +6 = 0 . . . . general form
a graph (inclusive of a sequence of one or greater factors, strains, line segments, curves, or areas) that represents the variant of a variable in assessment with that of one or greater other variables. the gathering of all factors whose coordinates fulfill a given relation (inclusive of a function)
A graph of a function is a unique case of a relation. within the modern foundations of mathematics, and, generally, in set theory, a function is clearly same to its graph. however, it is regularly useful to look functions as mappings, which consist no longer best of the relation among enter and output, but additionally which set is the domain, and which set is the codomain. as an instance, to mention that a characteristic is onto (surjective) or not the codomain have to be taken under consideration
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I will give brainlist
Simplify negative 4 and 2 over 3 minus 7 and 3 over 4.
3 and 1 over 2
negative 11 and 1 over 12
negative 12 and 5 over 12
negative 28 and 1 over 2
The value of the expression given as [tex]-4\frac 23 - 7\frac 34[/tex] is [tex]-12\frac5{12}[/tex]
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution to the expression?The expression is given as
Simplify negative 4 and 2 over 3 minus 7 and 3 over 4.
Rewrite the above expression properly as follows:
Simplify -4 2/3 - 7 3/4
Using LaTeX, the above expression can be further represented as
[tex]-4\frac 23 - 7\frac 34[/tex]
Rewrite the above fractions and express it as improper fractions
[tex]-\frac{14}3 - \frac{31}4[/tex]
Rewrite the above fractions and take the LCM
[tex]\frac{-14 * 4 - 31 * 3}{12}[/tex]
Evaluate the difference of product in the above expression
[tex]-\frac{149}{12}[/tex]
Rewrite the above expression as a mixed fraction
[tex]-12\frac5{12}[/tex]
Hence, the value of the expression given as [tex]-4\frac 23 - 7\frac 34[/tex] is [tex]-12\frac5{12}[/tex]
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72 round to nearest tens
Answer:
70
Step-by-step explanation:
if the number Is less than 5 it's takes a 0 if the number is more that 5 it rounds off to the next ten
The blood types of 700 people are collected at a doctor’s office. The table shows the breakdown of patients by blood type. If a person from this group is selected at random, what is the probability that this person has type AB blood? Express your answer as a fraction in lowest terms or as a decimal rounded to the nearest millionth (if necessary).
If a person from this group is selected at random, the probability that this person has type AB blood is 0.0928
How to solve for the probabilityFrom the question we have the total number of persons that there blood types have been collected as 700.
The number of people that have the AB blood type is given as 65.
Hence the probability would be
65 / 700
= 0.0928.
What is probability?This is the term that is used in the field of mathematics to refer to the likelihood of something occurring. It tells us of the chances that may be present that would show that a certain phenomenon would occur.
Hence the probability is 0.0928
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Banks do not
O pay interest on the money on deposit with the bank.
O take in and secure people's money.
O sell corporate stock to the public.
O make loans to individuals and businesses.
Is the sqrt3 greater than the sqrt of 10/2
The square root of 3 is not greater than the square root of 10/2.
This is because the square root of 3 is 1. 73 and the square root of 10/2 is 2. 24
What is the square root of a number?The square root of a number can be defined as the factor that when multiplied by itself gives the original number.
The square root is represented with the symbol " √"
From the information given, we are to determine which is greater between the square root of 3 and the square root of 10/2
The expression is represented as;
√ 3
√10/2
Now, let's simply the square root
√3
Find the square root
= 1. 73
√10/2
Find the quotient of 10/2 first, then substitute the value to find the square root, we have;
10/ 2
5
Find the square root of 5
√5 = 2. 24
We can see that the square root of 3 is not greater than the square root of 10/2
Thus, the square root of 3 is not greater than the square root of 10/2
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