a game consists of placing seeds in 24 cups. a player puts two seeds in the first cup, four in the second, six in the third and so on. how many seeds will be required altogether if the player continues to the 24th cup in this way?
Step-by-step explanation:
The next cup will always have 2 more than the previous one. Continue the pattern of adding two seeds to each cup until you reach the 24th cup like so:
#s on left side = # of seed , #s on right side = # cup
6 | 3 8 | 4 10 | 5 12 | 6 14 | 7 16 | 8 18 | 9 20 | 10 22 | 11
24 | 12 26 | 13 28 | 14 30 | 15 32 | 16 34 | 17 36 | 18 38 | 19
40 | 20 42 | 21 44 | 22 46 | 23 48 | 24
What you want to know is the number of TOTAL SEEDS NEEDED TO PLAY THIS GAME. NOT how many seeds will be in the 24th cup. To find the TOTAL you need to add 2 + 4 + 6 and so on like so:
2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 = 600 TOTAL SEEDS TO PLAY THIS GAME. (this is your answer)
The distance between point A(2,3) and point B(6,1) is ?
Answer:
[tex]2 \sqrt{5} [/tex]
decimal form: 4.47213595
Answer: 395 km
lol they want it to be 200 characters long what I look like ? Lol
Which equation represents the graphed function?
A. -3x+2=y
B. -2/3x+2=y
C. 3/2x-3=y
D. 2x-3=y
Plz help me I am taking the unit test on edge
Answer:
try c, i took the test as well its either that or b
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
What is 5(2x-4)jahahajah acc Ishjss
Answer:
10x-20
Step-by-step explanation:
Answer:
distribute the 5
5×2x then 5×-4
10X-20 that's the answer
Find the volume of this object. Use 3 for pi. (CAN ANYONE HeLP:))
Step-by-step explanation:
sorry for the rough handwriting but that's that
Select each polynomial expression that could be factored by grouping.
Answer:
The 2nd and 3rd option
Step-by-step explanation:
They can be separated into 2 pairs and factored
HELP PLSSS ASAPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:I think it’s 75
Step-by-step explanation:
Show all work to identify the asymptotes and zero of the function f(x)=5x (over) x^2-25
9514 1404 393
Answer:
asymptotes: x = ±5; y = 0zero: x = 0Step-by-step explanation:
The function will have a zero where the numerator is zero:
5x = 0
x = 0 . . . . divide by 5
The zero of the function is x=0.
__
The function will have vertical asymptotes where the denominator is zero:
x^2 -25 = 0
x^2 = 25 . . . . add 25
x = ±5 . . . . . . take the square root
The function will have vertical asymptotes at x = -5 and x = 5.
__
When x gets large, the magnitude of the function is approximately ...
5x/x^2 = 5/x
As x approaches infinity, this value approaches zero.
The function will have a horizontal asymptote at y = 0.
What is the value of the expression below when x=3 and y=8?
6x + 10y
Answer: Answer: 98
6(3) + 10(8) = 98
Step-by-step explanation:
Which real world scenario matches this inequality? 10X < 4X +2 The cost of 10 shoes is greater than the cost of 4 shoes plus $2 socks. The cost of 10 shoes is greater than the cost of 4 shoes plus $2 socks. The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon. The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon. The cost of 10 shoes is less than the cost of 4 shoes with $2 socks. The cost of 10 shoes is less than the cost of 4 shoes with $2 socks. The cost of $2 is greater than the cost of 4 shoes.
Answer:
The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon.
Explanation:
The inequality corresponds closely to the cost of 10 shoes being less than cost of 4 shoes with $2 off coupon. Closely because there is an error here the constant $2 off coupon should mean it is reducing the price of 4 shoes and therefore a minus sign should come before it, equation should be 10x<4x-2.
We can see that X is the price per shoe here
Michael worked 42 hours last week. His regular pay is $10.00 per hour. He is paid 1 1/2 times his regular pay for overtime hours (in excess of 40 hours). What was his gross pay?
Answer:
$430
Step-by-step explanation:
Total hours worked by Michael = 42 hours
hours worked by Michael in excess of 40 hour = 42 - 40 = 2 hour
thus,
Michael worked 2 hours overtime.
money paid for working 1 hour in regular pay = $10.00
money paid for working 40 hour in regular pay = $10.00*40 = $400
lets calculate money paid to him for over time
given
Michael is paid 1 1/2 times his regular pay for overtime hours
Money paid for overtime for 1 hour = 1 1/2 *money paid for working 1 hour in regular pay
Money paid for overtime for 1 hour = 3/2 *$10 = $15
Money paid for 2 hours work overtime = $15*2 = $30
Thus,
gross pay for 42 hours work for Michael = $400 + $30 = $430
The radio of 2,787 to 1,750 is ____
Answer:
1.59
Step-by-step explanation:
Divide 2,787 by 1,750
It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals. a. Identify the variables in this relationship and indicate which would be the independent variable and which would be the dependent variable.
Answer:
We want to write the cost equation for the company.
First, we know that:
It cost $20 per box.
There is a fixed cost of $2300.
Then the only variable will be the number of boxes that they make.
Where the number of boxes is the independent variable (the company can decide the number of boxes that they make) and the dependent variable will be the cost (the cost changes as the number of boxes change).
Then we can write the cost equation as:
C(x) = $20*x + $2300.
Where x is our variable, the number of boxes made by the company.
Which coordinate notation matches the description?:
3 units left and 5 units down
O (x+3y-5)
O (X-3.y-5)
O (x+3.y+5)
O (X-3.y+5)
Answer: The last one
Step-by-step explanation:
3 units left would be -3 and 5 units down would be +5
5/-8 + 2/3
Evaluate it and in simplest form
Answer:
1/24
Step-by-step explanation:
(-5/8)+2/3
(-15/24)+16/24
1/24
I just need help with 1-8
Answer:
1. Reflexive Property of equality
2. Addition Property of equality
3. Subsitution
4. Definition of Congruence
5. Transitive Property
6. Division of equality
7. Segment Addition postulate
8. Subtraction of equality
Step-by-step explanation:
28 > m - 4
Solve the equation
Answer:
m<32
Step-by-step explanation:
You add 4 to both sides to isolate the variable which in this case is m this gives you 32>m, then you can just flip the equation.
Answer: m < 32
Step-by-step explanation:
28 > m - 4
Add 4 to both sides:
32 > m
Flip the inequality so m is in front:
m < 32
Hope this helps!
Find the explicit formula and the value of the term indicated in 45, 40, 35, 30, ...; a50
Answer
25,20,15,10,5,0
A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5 centimeters. Jen filled the bottom layer with 24 cubes. What is the volume of the box?
Answer:
120 centimeters cubed
Step-by-step explanation:
you dont even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)
Answer:
120
Step-by-step explanation:
I know this question is old but why not
Which graph shows the set of all solutions for the equation 7x + 2y = -14? (1 point)
Answer:
y=[tex]\frac{-7}{2}[/tex]x-7
Step-by-step explanation:
you didnt put a graph so this is the linear equation
Rewrite 8 2/5
as an improper fraction.
Answer:
42/5
Step-by-step explanation:
If you multiply the denominator (5) by the whole number you would get 40, so then, you add this to the numerator (2), you would get 42 after. So the answer would be 42/5 (you keep the denominator). You can trust my answer because I'm n middle school and this was in like elementary school :P
Using elimination method.
1:x+y=16
x-y=0
Answer:
x = 8 and y = 8
Step-by-step explanation:
Giving equations:
x + y = 16
x - y = 0
Unknown:
Find the values of x and y= ?
Solution:
x + y = 16 ---- (i)
x - y = 0 ------(ii)
Add i and ii:
2x = 16
x = 8
Subtract i and ii;
2y = 16
y = 8
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk ?
Answer:
0.75 or 3/4
Step-by-step explanation:
multiply each by 3 equal full cup of milk and 3/4 of water
Answer the answer is 83
Step-by-step explanation:
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
Answer:
-17
Step-by-step explanation:
[tex] - 3{(y + 2)}^{2} - 5 + 6y \\ - 3(y + 2)(y + 2) - 5 + 6y \\ ( - 3y - 6)(y + 2) - 5 + 6y \\ - 3 {y}^{2} - 6y - 6y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y - 12 - 5 + 6y \\ - 3 {y}^{2} - 12y + 6y - 12 - 5 \\ - 3 {y}^{2} - 6y - 17[/tex]
Answer[tex]-3y^{2}-6y-17[/tex]
Select all that apply.
Which decimals in the list are repeating decimals?
5/6
4/15
3/5
1 3/4
1/3
4/1,000
Answer:
5/6 4/15 1/3
Step-by-step explanation:
the answers are above
Answer:
the repeating decimals are in 5/6 4/15 1/3
Step-by-step explanation:
to find them you would just divide them for example 5/6, you would divide the 5 by the 6
The Rock Zoo nurses 37 species of big cats. Recently, a few species of big cats were sponsored to other zoos around the country. The zoo now nurses only 25 species. How many species of big cats were sponsored to other zoos?
Write the equation to be used to solve this equation.
Answer:
12 species
Step-by-step explanation:
37-N=25
working backwards
25-37=N
=25-37=12
please help me with this wuiz
Answer: Distribute the 10
Step-by-step explanation: PEMDAS (p is parentheses)
Find the equation of a line that passes through the points (2,2) and (3,6).
Leave your answer in the form
y
=
m
x
+
c
Answer:
y =4x-6
Step-by-step explanation:
first we have to find the gradient,m
m= y2-y1/x2-x1
= 6-2/3-2
= 4/1
=4
equation : y=mx+c , m=4 , (2,2) [you have only take one point either (2,2) or (3,6) is up to you ;) ]
so , sub the point and gradient into y=mx+c:
2=4(2)+c
2=8+c
2-8=c
-6=c
c=-6
In the end , y =4x-6
hope this help you!! ;)))
See attachment for math work and answer.
I need help please and thank you
Answer:#7 is 20%. #8 is 67.5 people
Step-by-step explanation: For #7 you would just divine 14/70 to get .20 converted to a percentage is 20%. For #8 you would convert 37.5% to a decimal of .375 and multiply that to 180 people to get the answer of 67.5 people.
solve x²-24x+14=0 by completing the square. what are the solutions
Answer:
x=±√130+12
I believe :-)