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seropon [69]
2 years ago
9

Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3 + 10 + 17 +

24 + ... a. Use summation notation to write the series. Explain what the numbers in the summation notation represent in this situation and how you found the expression used in the summation.. . b. Find the total number of beads in the necklace. Explain your method for finding the total number of beads.
Mathematics
1 answer:
Volgvan2 years ago
5 0
The numbers represent an arithmetic progression. The difference between terms is d=7. S=a1+a2+...+an, a1=3 and an=a1+(n-1)×d=3+17×7=122 S=(a1+an)n/2=(3+122)×18/2=125×9=1125
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What is the slope of the line that passes through the points (7.-12) and (-9,36)?​
REY [17]

Answer:

Step-by-step explanation:

m = slope where

m = rise / run

rise = y2 - y1  

run = x2 - x1

where  

the given point P1 = (7, -12)

and is in the form of (x1,y1)  

and

the given point P2 = (-9,36)  

is  in   the   form  of   (x2,y2)

then

m =  ( y2 - y1 ) / ( x2 - x1 )

m = ( 36 - (-12) ) / ( -9 -7 )

m = ( 36 + 12 ) /  ( - 16 )

m =  48 /  - 16

m = - 3

the slope is negative 3

slope = - 3

4 0
3 years ago
Riley is planning to plant a lawn in his yard. He will need 9 pounds of grass seed. He wants to mix Bermuda seed that costs $4.8
tankabanditka [31]

Given that total number of pounds of grass seed needed = 9

Let number of pounds of Bermuda seeds used = x

Let number of pounds of Fescue seeds used = y

Then sum of both gives equation:

x+y=9

or y=9-x...(i)


Given that cost of 1 pound of Bermuda seed = $4.80

Then cost of x pound of Bermuda seed = $4.80x


Given that cost of 1 pound of Fescue seed = $3.50

Then cost of y pound of Fescue seed = $3.50y

total cost will be 4.80x+3.50y



Given that cost of 1 pound of mix seed = $4.02

Then cost of 9 pound of mix seed = $4.02*9


combining all three parts, we get equation:

4.80x+3.50y=4.02*9

4.80x+3.50y=36.18...(ii)

plug (i) into (ii)

4.80x+3.50y=36.18

4.80x+3.50(9-x)=36.18

4.80x+31.5-3.50x=36.18

4.80x-3.50x=36.18-31.5

1.3x=4.68

x=3.6

Now plug x=3.6 into (i)

y=9-x=9-3.6=5.4


Hence final answer is given by:

Let number of pounds of Bermuda seeds he should buy = 3.6 pounds

Let number of pounds of Fescue seeds he should buy = 5.4 pounds


5 0
3 years ago
Is your received a $15,000 loan from the bank after six years she owes the bank 5000 in interest what was Angie’s interest-rate
pishuonlain [190]

Answer:

it would be 3.33%

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Suppose P(C/D)=0.34, P(D)=0.11 , and P(D/C)=0.09. What is P(C) rounded to two decimal places?
Olegator [25]

So C/D=.34 And D=.11, now just plug D into the first equation.

C/.11=.34 Divide by .11

C=3.09090909

Now this rounded two decimal places is 3.09!

Hope this helps

3 0
2 years ago
Read 2 more answers
Solve the given equation.<br><br> z/12 = 6
Marrrta [24]

Answer:

\frac{z}{12}  = 6 \\ z = 6 \times 12 \\ z = 72

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

3 0
3 years ago
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