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Masja [62]
3 years ago
10

Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies. How much of the chocolate

chips will she use in each batch of cookies?
Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

1 1/3 bags of chocolate chips

Step-by-step explanation:

If Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies, then we can say;

2 1/4 bags of cookies = 3 batches of chips

To determine how much of the chocolate chips will she use in each batch of cookies, we can say;

1 bag of cookies = x batches of chips

Equating both expressions

2 1/4 bags of cookies = 3 batches of chips

1 bag of cookies = x batches of chips

Cross multiply

2 1/4 x = 3

9/4 x = 3

9x/4 = 3

9x = 12

x = 12/9

x = 4/3

x = 1 1/3

Hence Alana will need 1 1/3 bags of chocolate chips

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What is the surface area to volume ratio of a 5 cm cube?
joja [24]
Answer: 6/5

Explanation:
Given: 5cm cube
This means each side is 5 cm because a cube has equal sides.

Area of a square is length times width so area of 1 side of a cube:
= 5 x 5
= 25

Surface area is the area of one side of a cube times the number of sides. Now, how many sides does a cube have? 6
= 25 x 6
= 150

Surface area of a 5cm cube = 150

Volume is length times width times height:
= 5 x 5 x 5
= 125

Ratio of surface area to volume:
= 150/125
= 6/5
6 0
3 years ago
On Tuesday Conrad had 3 times as many sales as on Monday. On Wednesday, he had 9 times as many sales as on Monday. Over the thre
Vlad1618 [11]

Answer:

Conrad had 56 sales on Monday , 168 sales on Tuesday and 504 sales on Wednesday.

Step-by-step explanation:

Let x be the no. of sales on Monday

We are given that On Tuesday Conrad had 3 times as many sales as on Monday.

So, Conrad had sales on Tuesday = 3x

We are also given that On Wednesday, he had 9 times as many sales as on Monday.

So, Conrad had sales on Wednesday = 9x

Over the three days, he had a total of 728 sales

So, x+3x+9x=728

13x=728

x=\frac{728}{13}

x=56

Conrad had sales on Tuesday = 3x =3(56)=168

Conrad had sales on Wednesday = 9x=9(56)=504

Hence Conrad had 56 sales on Monday , 168 sales on Tuesday and 504 sales on Wednesday.

7 0
3 years ago
There are 100 men and 100 seats, and each person has a pre-assigned seat. However, the first person is randomly assigned (either
olganol [36]

Answer:

1 / 2

Step-by-step explanation:

- First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.

- Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability: 1/2

- Armed with the key observation, we see that the event that the last person's correct seat is free, is exactly the same as the event that the first person's seat was taken before the last person's seat.

- Well, each person had to make a random choice, was equally likely to choose the first person's seat or the last person's seat - the random chooser exhibits absolutely no preference towards a particular seat. This means that the probability that one seat is taken before the other must be 1/2

3 0
3 years ago
Moira borrowed $4,500 from her grandfather to pay for her first year of college. Three years later, she repaid the $4,500 a long
IgorC [24]

Answer: The annual interest rate is 1.06%

Step-by-step explanation: This is a simple interest computation.

The formular for a simple interest is given as;

I = (P ×R × T)/100

Where I represents the interest paid,

P represents Principal borrowed at the beginning

R represents the rate at which the interest is calculated

T represents the Time measured in number of years

If the interest is calculated as I = (P×R×T)/100, we should first of all make R the subject of the formular;

Multiply both sides by 100

100I = P×R×T

Divide both sides of the equation by P and T

(100I)/(P × T) = R

Now we can insert the values into the rearranged formular

(100 × 143)/(4500 × 3) = R

14,300/13,500 = R

143/135 = R

1.0592592593 = R

Therefore, R which is the rate of interest equals approximately 1.06%

5 0
3 years ago
Given the graph below how many solutions would they have?
slava [35]

Answer: infinite

Step-by-step explanation:

the lines go on forever

6 0
3 years ago
Read 2 more answers
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