Answer: Option (A)1 more people marker and 1 more die.
Step-by-step explanation:
We have to pack expansion packs for the game of checkers in such a way such that there should be enough cards as per requirement.
So for that we have to find packs of each item by dividing each pack by part numbers and what is left after as remainder.
People marker =287 =6(47) + 5 ( as each pack of people marker contains 6 items)
6-sided die =143 = 3(47) + 2 (as each pack of 6- sided die contains 3 items)
Teleport-er marker=341 = 7(48) + 5 (as each pack contains 7 teleport-er marker)
So we can see that for 48th pack we have enough Teleport-er marker just we need one People marker and one 6-sided die. which is option A.
Given the quantities of game components available, we can form 47 complete expansion packs. We can form another pack if we had 1 more 6-sided die and 1 more people marker. Thus, the correct answer is option A.
Explanation:To answer the question, we first need to calculate how many complete expansion packs can be made with the available components:
People marker: We would divide the total number of available markers (287) by the number needed for each pack (6). Thus, a total of 47 full packs can be made with an extra 5 markers left over. 6-sided die: Dividing the total number of dice available (143) by the number needed for each pack (3), we get 47 full packs with 2 dice left over. Teleporter marker: Divided by 7 (the amount needed per pack), the 341 available teleporter markers would result in 48 full packs with 5 markers left over.
Given the available quantities, we can make a total of 47 complete packs. However, we'd have enough components to complete one more pack if we had 1 more die and 1 more people marker. Therefore, the correct answer is option A.
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9.1÷3576 rounded to the nearest whole number
Answer:
Answer is 0
Step-by-step explanation:
[tex]\frac{9.1}{3576}=0.0025447427[/tex]
Whole numbers are the set of numbers represented by {0,1,2,3.......}, So basically counting numbers with a 0. Whole numbers does not contain fractions or negative numbers.
Rounding off is a way of simplifying a number so that it is close to the value of the original number. 0.0025447427 lies in between the whole number 0 and 1. But is is a very small value and is close to 0 than 1. So the closet whole number is 0.
If you put $603 in a savings account that pays 9% for one year what is the amount of money you will have at the end of the one year?
603*.09=54.27 so add 603+54.27= 657.27
Billy receives $15 every month for allowance. He puts $7 of his allowance into a piggy bank until his piggy bank has $119. How many months has he been saving part of his allowance?
Solve y−3x=13 for y.
Answer:
y=13+3x
Step-by-step explanation:
The equation y - 3x = 13 can be solved for y as y = 13 + 3x after adding 3x both sides.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The linear equation is:
y - 3x = 13
It is required to solve for x
The expression can be defined as the combination of constants and variables with mathematical operators.
Make the subject as y:
Add 3x on both sides:
y - 3x + 3x = 13 + 3x
y = 13 + 3x
Thus, the equation y - 3x = 13 can be solved for y as y = 13 + 3x after adding 3x both sides.
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Solve: The quantity 3 x minus 15 divided by 2 = 4x (5 points)
−15
6
−3
11
[tex]Solution, solve\:for\:x,\:\frac{3x-15}{2}=4x\quad :\quad x=-3[/tex]
[tex]Steps:[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}2, \frac{3x-15}{2}\cdot \:2=4x\cdot \:2[/tex]
[tex]Refine, 3x-15=8x[/tex]
[tex]\mathrm{Add\:}15\mathrm{\:to\:both\:sides}, 3x-15+15=8x+15[/tex]
[tex]\mathrm{Simplify}, 3x=8x+15[/tex]
[tex]\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}, 3x-8x=8x+15-8x[/tex]
[tex]\mathrm{Simplify}, -5x=15[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-5, \frac{-5x}{-5}=\frac{15}{-5}[/tex]
[tex]\mathrm{Simplify}, x=-3[/tex]
The correct answer is C. -3
Hope this helps!!!
What is the factored form of 2x^3 + 4x^2 - x
x(2x²+4x-1) is your answer.Hope this helps. :)
Answer:x(2x^2+4x-1)
Step-by-step explanation:
2/3 of a cherry pie is left .Supposed 4 friends want to share it equally what fraction names how much the whole pie each friend will get?
In the lunch room at your school, 5 people can sit at one table. If you put two tables together, 8 people can sit. If you put three tables together, 11 people can sit. How many people can sit if you put 20 tables together?
Based on the pattern, with each added table, 3 more people can sit. Now, let's see, how many people can sit when we put 20 tables together.
1. First, count the number of 'extra' tables after the first one. With 20 tables in total, we subtract 1 for the initial table to obtain 19 extra tables.
2. We know that for each extra table, 3 more people can sit. So, we then multiply the 19 extra tables by 3, which results in 57.
3. Recall that with the first table, 5 people could sit.
4. To get the total number of people that can sit, we then add the calculated extra seats, which is 57, to the initial 5 seats. So, 57 + 5 equals 62.
So, when you put 20 tables together, 62 people can sit according to the pattern we have noticed.
Which zero pair could be added to the function f(x)=x2 +12x+6 so that the function can be written in vertex form
The most general proccedure for this type of problems is the following:
For a quadratic function of the following form [tex]f(x)=x^2+bx+c[/tex]; where b and c are real numbers.
1) Identify the value that accompanies the x, that is, the value "b"
2) Divide the value of b by 2 and then square it: [tex](\frac{b}{2})^2[/tex]
3) Add and subtract in the function the value of [tex](\frac{b}{2})^2[/tex]
4) Write the complete function of the form [tex]f(x) = (x+\frac{b}{2})^2-(\frac{b}{2} )^2+c[/tex]
For the function presented [tex]f(x)=x^2 +12x+6[/tex] the result is as follows:
1) The value of b is 12
2) [tex](\frac{12}{2} )^2=36[/tex]
3) [tex]f(x)=(x^2+12x+36)-36+6[/tex]
4)[tex]f(x)=(x+6)^2-36+6[/tex]
Finally the function is:
[tex]f(x)=(x + 6)^2-30[/tex]
The zero pair that must be added is 36 and -36
Just one math question. Thank you :)
How do you right the decimal equivalent for 117 151/200
Answer:
117.775
Step-by-step explanation:
Divide 151 by 200
117.775
To convert the mixed number 117 151/200 to a decimal, divide the numerator by the denominator and we get 0.755.
Explanation:To write the decimal equivalent of a mixed number like 117 151/200, we first convert the whole number part to a fraction by adding a denominator of 1. So, 117 can be written as 117/1. Then, we find a common denominator for the numerator and denominator of the fraction part, which in this case is 200. When we add the whole number part to the fraction part, we get 117 151/200.
To convert this mixed number to a decimal, we divide the numerator by the denominator. In this case, 151 divided by 200 gives us 0.755.
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What is the value of the expression?
6.4−2.4÷0.1
Enter your answer in the box as a decimal.
The answer is -17.6
Abby has 2 4/5 lb of potting soil. She needs 2 1/2 times that amount for her plants.
How much potting soil does she need?
Express your answer in simplest form
Four more than seven times a number is 12.” Write an equation that represents the statement. Then solve.
7x + 4 = 12
7x = 12-4
7x = 8
x = 7/8
The coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).
To determine if it is a parallelogram, use the converse of the parallelogram diagonal theorem. This states that if the diagonals , then the quadrilateral is a parallelogram.
The midpoint of HJ is and the midpoint of IK is (2, 2).
Therefore, HIJK is a parallelogram because the diagonals , which means they bisect each other.
Answer: The quadrilateral HIJK is a parallelogram.
Explanation:
It is given that the coordinates of the vertices for the figure HIJK are H(0, 5), I(3, 3), J(4, –1), and K(1, 1).
The parallelogram diagonal theorem states that the quadrilateral is a parallelogram if both diagonal bisects each other.
If HIJK is a quadrilateral, then HJ and IK are the diagonals of HIJK.
First we find the midpoint of HJ.
[tex]\text{Midpoint of HJ}=(\frac{0+4}{2}, \frac{5-1}{2})[/tex]
[tex]\text{Midpoint of HJ}=(2,2)[/tex]
Now, find the midpoint of IK.
[tex]\text{Midpoint of IK}=(\frac{3+1}{2}, \frac{3+1}{2})[/tex]
[tex]\text{Midpoint of IK}=(2,2)[/tex]
The midpoint of both diagonal are same. It means the diagonals of HIJK bisects each other.
By parallelogram diagonal theorem, we can say that the quadrilateral HIJK is a parallelogram.
Answer: IH = IJ = 3 and JK = HK = StartRoot 29 EndRoot, and IH ≠ JK and IJ ≠ HK.
Step-by-step explanation:
find the solutions to x^2=24.
[tex]x^2=24\\\\x=\sqrt{24} \vee x=-\sqrt{24}\\\\x=2\sqrt6 \vee x=-2\sqrt6[/tex]
The solutions to the quadratic equation is x = ±2√6
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
x² = 24
Taking square roots on both sides , we get
√x² = √24
Now , the value of x is
x = ±√24
On simplifying the equation , we get
x = ±2√6
where the two solutions of x are having both positive and negative roots
So , the solutions of equation are
x = +2√6 and x = -2√6
Hence , the solution is x = ±2√6
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The partment rents for 3 times as much as it did 10 years ago now partment was $270 per month 10 years ago how much does that apartment cost now
In one baseball season peter hit twice the difference of the number of home runs Alice hit and 6.altogether they hit 18 home runs how many home runs did each player hit that season?
Answer:
Peter hit 12 home runs, Alice hit 6.
Step-by-step explanation:
If peter hit twice the amount of Alice then you multiply how many she got by 2 and you get 12.
What is equal to 2 to the 11th power?
Your answer would be 2048! This is because you multiply 2 by itself 11 times, so 2x2x2x2x2x2x2x2x2x2x2 = 2048!
The equivalent value of the exponential equation is A = 2¹¹ = 2048
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = 2¹¹
where the base of the exponential form equation is 2
And , the power of the base is = 11
Now , from the laws of exponents , we get
A = 2¹⁰ x 2
A = 1024 x 2
On simplifying the equation , we get
A = 2048
Therefore , the value of A is 2048
Hence , the exponential equation is solved and A = 2048
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For each order pair ,determine whether is it a solution to 7x+4y=-23
Simplifying
7x + -4y = 23
Solving
7x + -4y = 23
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4y' to each side of the equation.
7x + -4y + 4y = 23 + 4y
Combine like terms: -4y + 4y = 0
7x + 0 = 23 + 4y
7x = 23 + 4y
Divide each side by '7'.
x = 3.285714286 + 0.5714285714y
Simplifying
x = 3.285714286 + 0.5714285714y
An order pair is a solution to the given equation 7x+4y=-23 if substituting the values of the order pair into the equation makes the equation correct. Using this method it can be determined for instance that (1,-6) is not a solution whereas (-1,-5) is a solution to the equation.
Explanation:To determine whether an order pair is a solution to the given equation 7x+4y=-23, you'll need to substitute the values of x and y from the order pair into the equation and see if both sides of the equation balance out.
For instance, if your order pair is (1, -6), you would substitute x=1 and y=-6 into the equation. The equation would then become: 7(1) + 4(-6) = -23. Simplifying this, you get 7 - 24 = -23, which is incorrect.
If you were to take the order pair (-1,-5), the equation 7(-1) + 4(-5) = -23 simplifies to -7 - 20 = -23 , which is indeed correct. Therefore, the order pair (-1,-5) is a solution to the given equation.
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see picture to answer question
By Cross multiplying given equation will become.
3x-15= 2(4x)
3x -15= 8x
subtracting 3x both sides
3x-3x -15 = 8x-3x
-15 = 5x
Dividing 5 both sides
-5= x answer
the flagpole cast an 8-foot Shadow as shown in the table the same time the oak tree cast a 12-foot Shadow how tall
30 ft tall 20 /8 = 2.5 so 12 * 2.5 = 30
Scott has 25 baseball cards in his collection. On his birthday, Scott’s grandfather gives him his collection of 100 baseball cards. Scott trades 50 of his cards at the baseball card shop. How many cards did Scott not trade?
Answer:
Scott did not trade 75 cards! Hope this helps!
Step-by-step explanation:
Answer:
he didnt trade 75 cards ooooooooooooooooooooooooooo
Step-by-step explanation:
What is the solution to the equation e^3x=12 Round your answer to the nearest hundredth.
[tex]e^{3x}=12\\\\3x=\ln 12\\\\x=\dfrac{\ln 12}{3}\approx0.83\\\\\\[/tex]
Answer:
x=0.83
Step-by-step explanation:
Given: [tex]e^{3x}=12[/tex]
We are given an exponential equation and to solve for x.
[tex]e^{3x}=12[/tex]
Taking ln both sides
[tex]\ln e^{3x}=\ln 12[/tex]
[tex]3x\ln e=\ln 12[/tex] [tex]\because ln a^m=m\ln a[/tex]
[tex]3x=\ln 12[/tex] [tex]\because \ln e=1[/tex]
[tex]x=\dfrac{\ln 12}{3}[/tex] [tex]\text{divides both sides by 3}[/tex]
The exact value of x is [tex]\dfrac{\ln 12}{3}[/tex]
Using calculator to find ln 12
[tex]x=\dfrac{2.4849}{3}[/tex]
[tex]x=0.8283[/tex]
Hence, The value of x is 0.83
Which answer is a reasonable estimate to the following problem? 194 x 476
To estimate the product of 194 x 476, we round each number to the nearest hundred and multiply. After rounding, the multiplication is 200 x 500, which equals 100,000. This is a reasonable estimate for the multiplication problem.
Explanation:The subject of this question is Mathematics, and the grade level appears to be Middle School. The student is asking for a reasonable estimate of the product of 194 and 476.
To estimate the product of 194 x 476, we should round each number to a convenient figure before multiplying. Both numbers round to the nearest hundred, with 194 rounding down to 200 and 476 rounding up to 500.
The estimate calculation would therefore be:
Round 194 down to 200 (because it is closer to 200 than to 300).Round 476 up to 500 (because it is closer to 500 than to 400).Multiply the rounded numbers: 200 x 500.When we multiply these rounded figures, we get:
200 x 500 = 100,000
This is a reasonable estimate for the product of 194 x 476.
Original cost of a sled: $99.50 ; markup by 33%
you are simply doing 99.5x33% + 99.5
and to save you some time, the answer would be 132.34
Need help ASAP help
So a tip for these is go through each equation by plugging in the equations in your graphing calculator and going to the table to see which one matches it
So in this situation, none are exact so you have to find the closest, your correct answer comes to d.
Zero is not an element of the set of natural numbers. True or false
true is the answer to this problem yah yah yah
Zero is neutral because it is not negative or positive so it is neutral
A truck driver drove 120 miles in 1 3/4 hours. What is the speed of the truvk in miles per hour? work shown
What are all the terms in the expression 4 m n + m + 5
4mn + m + 5
Terms: 4mn, m, 5