What is the next number i the pattern 2,916,-972,324,-108,,36

Answers

Answer 1
Answer: 2916, -972, 324, -108, 36, ... 
an = -4(-1)^n 3^(7 - n) 
a6 = -4(-1)^6 3^(7 - 6) = -12 
The next number in the pattern is -12.

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At the beginning of the week, Stewart's checking account had a balance of $-12.07. On Monday morang he deposited acheck for $216.45, on Tuesday, morning he deposited another check for $100.00. How much was in Stewart's checkingaccount after the second deposit?

Ben needs to buy orange juice. He can buy 64 fl oz at the grocery store for $2.00, or he can buy 256 fl oz at the wholesale club for $7.50| a) Find the unit price for the grocery store orange juice. Round your answer to the nearest thousandth.| b) Find the unit price of the wholesale club orange juice. Round your answer to the nearest thousandth.| c) Where should ben buy orange juice ifhe wants the best deal? Explain.

Answers

2. unit price = $ ÷ oz 
a) 64 fl oz for $2 = 2/64 ≈ $0.031 per ounce 
b) 256 fl oz for $7.5 = 7.5/256 = $0.029 per ounce 
c) buy wholesale because 0.029 < 0.031 

3. unit rate means 1 for the miles 
3/10 in ÷ 7/8 mi 
= 12/35 inches per mile ...

Write a word problem that you can solve by multiplying a mixed number by a whole number. Include a solution.

Answers

Answer:

A whole number is an integer, and a mixed number is a whole number and a fraction.

Now, let's make the problem.

"Mike has 3 pies and half of one (here we have the mixed number 3 (1/2), If he sells each pie for $4. How much money did he can win?"

this is the number of pies that he has times 4 dollars:

M = (3 + (1/2))*$4 = 3*$4 + (1/2)*$4 = $12 + $2 = $14

bob has 3 halves of an apple, he eats 2 thirds of it. how much did he not eat.
Solution: 1 half

Joyce baked a cake using 2 3/4 cups of brown sugar and 1 3/4 cups of powdered sugar. How many cups of sugar did she use in her cake? (Answers above in photo)

Answers

So she has used two kinds of sugar, brown and powdered.

She used 2 (3)/(4) cups of brown sugar and  1 (3)/(4) cups of powdered sugar: we need to add the two numbers:

2 (3)/(4)+1 (3)/(4)= 2+1+(3)/(4)+ (3)/(4)=3(6)/(4)=3+1+ (2)/(4)  =4 (2)/(4)=4 (1)/(2)=4.5

so the correct answer is 4.5

A company charges $211.25 for 5 trees and 15 shrubs, The company charges$15.25 more for a tree than a shrub. How much does each shrub cost?

Answers

First we make our formula: 5(t+15.25)+15t=211.25. (I use the same letter for both variables, but you have to make sure that whatever makes them different is in the formula) Then you work it like normal: 20t=135, T=6.75 so 1 shrub costs $6.75 Then substitute the answer in: 5(6.75+15.25)+15(6.75)=211.75 and check it. 1 tree is $110 :) hope this helps :)

Of the dogs in a dog show, 1/12 were classified as belonging to the abound group. Of the dogs in the hound group, 3/10 of them were English foxhounds. What fraction of the dogs in the group were considered English foxhounds?

Answers

so 1/12 is houds
3/10 of the hounds is foxhounds

findn out of all is foxhounds
3/10 of hounds is foxhounds
3/10 of 1/12 is foxhounds

'of' means multiply
3/10 times 1/12=foxhounds
mulitply top and bottom together
3 times 1=3
10 times 12=120
3/120=foxhounds=1/40


fraction is 1/40 is foxhounds
37/60 would be your answer.

What is standard form of 4x4x4

Answers

12 because 4 times 3 is 12
standard form is the answer so
4x4 = 16 × 4 = 64