Givens
Let the number of students in the class be x
Let the number of pieces of gum she gave out be 3x
Equation
3x + 8 = 168 This will not work out evenly. Let's try x - 1. The reason for that is because she may not give out anything to herself.
3(x - 1) + 8 = 168 This doesn't work either.
Well we have to choose. It's a rounding problem.
3x + 8 = 168 Subtract 8 from both sides.
3x = 168 - 8 Combine
3x = 160 Divide by 3 on both sides.
x = 160 / 3
x = 53.333333333
Since that can't be, we could say there were 53 students.
3x
Polygon ABCD is translated to create polygon A’B’C’D’. Point A is located at (1,5) and point A’ is located at (-2,3). Which expression defines the transformation of any point (x,y) to (x’,y’) on the polygons?
Answer:
The translation is 3 units left and 2 units down
Step-by-step explanation:
we know that
Point A is located at (1,5) and point A’ is located at (-2,3)
so
The rule of the translation is
(x,y) -----> (x+a,y+b)
(1,5) ----> (-2,3)
Find the values of a and b
1+a=-2 ----> a=-2-1 ----> a=-3
5+b=3 ----> b=3-5 ----> b=-2
so
The rule of the translation is
(x,y) -----> (x-3,y-2)
That means -----> The translation is 3 units left and 2 units down
Answer:
x’ = x - 3
y’ = y - 2
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?
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
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 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.
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
What are all the terms in the expression 4 m n + m + 5
4mn + m + 5
Terms: 4mn, m, 5
what is a transformation that shrinks or stretches a figure
A dilation is a transformation that shrinks or stretches a figure by multiplying or dividing each point by a scale factor.
Explanation:A transformation that shrinks or stretches a figure is called a dilation. A dilation is a transformation that changes the size of the figure without changing its shape. It can either shrink the figure, making it smaller, or stretch it, making it larger.
During a dilation, each point of the figure is multiplied or divided by a scale factor. If the scale factor is greater than 1, the figure is stretched. If the scale factor is between 0 and 1, the figure is shrunk.
For example, if we have a triangle and apply a dilation with a scale factor of 2, each side of the triangle will be multiplied by 2, resulting in a larger triangle.
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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.
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:
Ari has 10 boards that are 7.8ft long. What is the total length of all the boards Ari has
"10 boards that are 7.8ft long" can be interpreted as 10 * 7.8
When multiplying a number by 10, just move the decimal one point over.
7.8 * 10 = 78
Ari has 78 feet worth of boards.
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 :)
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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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
Insert the brackets to make each statement true.
40 ÷ 2 +3 x 2^2 -3 =23
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.
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.
(Will give brainliest to first correct answer) Multiply.
5⋅2/3 (fraction)
Enter your answer as an improper fraction, in simplified form, in the box.
Answer:
10/3
Step-by-step explanation:
put 5 over 1 and multiply across and you get 10/3
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 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:
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
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
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
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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what is 30 feet = yrds
it would be 10 yards
It’s ten yards, 1 foot = 0.333 yard
what is 2/3x+4=4/5x-2
Hey there!
Apply fraction cross multiply: if a/b = c/d , then a *d = b*c
2 ( 5x - 2 ) = ( 2x + 4 ) * 4
expand : 2 (5x-2 ) => 2*5x - 2*2 => 10x - 4
expand : ( 2x +4 ) * 4 => 2x * 4 + 4*4 => 8x + 16
10x - 4 = 8x+16
add 4 to both sides:
10x-4+4 = 8x+16+4
simplify :
10x = 8x + 20
subtract 8x from both sides:
10x -8x = 8x+20-8x
simplify:
2x = 20
Therefore:
x = 20 / 2
x = 10
Hope that helps!
Step 1. Simplify 2/3x to 2x/3
2x/3 + 4 = 4/5x - 2
Step 2. Simplify 4/5x to 4x/5
2x/3 + 4 = 4x/5 - 2
Step 3. Multiply both sides by 15 (the LCM of 3,5)
10x + 60 = 12x - 30
Step 4. Subtract 10x from both sides
60 = 12x - 30 - 10x
Step 5. Simplify 12x - 30 - 10x to 2x - 30
60 =2x - 30
Step 6. Add 30 to both sides
60 + 30 =2x
Step 7. Simplify 60 + 30 to 90
90 = 2x
Step 8. Divide both sides by 2
90/2 = x
Step 9. Simplify 90/2 to 45
45 = x
Step 10. Switch sides
x = 45
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
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
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