You have 3/4 of a pie leftover after your party. Each guest takes home 1/6 of the leftover pie.What fraction of the pie does each guest take home?
A)3/10 of a pie
B)2/5of a pie
C)2/9 of a pie
D)1/8 of a pie

Answers

Answer 1

Answer: Hi there! This is simple multiplication. 3/4*1/6=3/24. 3/24 simplified is 1/8. Therefore, the answer is D) 1/8 of a pie.

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Find the common ratio for the following sequence. 0.1, 0.01, 0.001, ... 1 0.1 0.01 0.001

Answers

Answer:

common ratio for the given sequence is 0.1

Step-by-step explanation:

Common ratio(r) defined as the ratio of term to the previous term.

Given the sequence:

0.1, 0.01, 0.001, ...

$a_1 = 0.1$

$a_2 = 0.01$

$a_3 = 0.001$ ......

by definition of common difference;

$r = (a_2)/(a_1)=(a_3)/(a_2).....$

Substitute the given values we have;

$r = (0.01)/(0.1)=(0.001)/(0.01).....$

Simplify:

$r = 0.1$

Therefore, the common ratio for the given sequence is 0.1

The common ratio is 0.10

0.1 x 0.1 = 0.01
0.01 x 0.1 = 0.001

common ratio is the ratio of a term to the previous term.

0.1 is the previous term of 0.01

common ratio = 0.01/0.1 = 0.10
common ratio = 0.001/0.01 = 0.10

Can you help me with this calculation?: what is 2x2

Answers

2x2=4

Hope this helps.

2. The restaurant bill you and your friend received was not itemized. You ordered 2 drink refills and the egg breakfast, for a total of $8.40. Your friend ordered 3 refills and the egg breakfast for $9.35. (a) Write a system of equations for the situation. Use r for the amount charged for a refill and b for the amount charged for the egg breakfast.
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each item cost.

Answers

( a ) The system of equations:
2 r + b = 8.40
3 r + b = 9.35
( b ) Graph is in the attachment.
( c ) Each item costs:
b = $6.50, r = $0.95
We can prove it: 2 * 0.95 + 6.50 = 8.40
3* 0.95 + 6.50 = 9.35

Answer: 1 drink refill is $0.95 and the egg breakfast is $6.50

2 r + b = 8.40

3 r + b = 9.35

$9.35-$8.40 =$0.95 then take .95x2 to get 1.90 and 8.40-1.90 to get the egg breakfast or $6.50

The question says evaluate 2a-b/b when a=4 and b=-3.
How would I start this problem?

Answers

You would start by writing down the expression that you have to evaluate:

2a - b/b

Then, get to work:
-- Wherever you see 'a', put in 4 .
-- Wherever you see 'b', put in -3 .

2(4) - (-3/-3)

Can you handle that ?

Hint:
The thing on the right is a fraction with the same number on top and bottom.
Any fraction like that is always equal to ' 1 '.

$(2a-b)/(b)\n\nsubstitute\ a=4;\ b=-3:\n\n(2\cdot4-(-3))/(-3)=(8+3)/(-3)=-(11)/(3)=-3(2)/(3)$

$or\ if\ 2a+(b)/(b)=2a+1\ then\ for\ a=4\ and\ b=-3:\n\n2\cdot4-3=8-3=5$

Which expressions are equivalent to the one below? Check all that apply 21x/7x