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agasfer [191]
3 years ago
7

The Jones family and the Connor family both bought the same boxed package of sugar cubes at the store, in which the cubes were a

rranged in 5 layers. After drinking of 61 cups of tea, the Joneses found that they were out of sugar. The Connors' sugar box was enough to last them through 88 cups of tea. Both families put either 2 or 3 pieces of sugar per cup. How many sugar cubes were in the box?
Mathematics
1 answer:
GrogVix [38]3 years ago
3 0

Answer:

180

Step-by-step explanation:

At the beggining, it says they are stacked in 5 layers which means the number of cubes is divisible by 5.

If the number of cubes equals x:

The least amount of sugar cubes the Jones family could have used is 61*2 which equals 122. The most they couldve used is 61*3 which equals 183.

Based on the information from the Jones family, x is between 122 and 183.

Based on the information from the Connor's, x is between 176 and 264.

Based on the information from both, x is between 176 and 183. The only number that is divisible by 5 between those numbers is 180 cubes.

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Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =
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Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

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To find the point of intersection, we need to solve the system of equations  and the result will be the point of intersection (x,y)

x-2y+1=0\\x= 2y-1

Now we substitute x in the second equation:

2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7

Now we substitute y in our first equation.

x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7.

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

x-2y+11=0\\x=2y-11

-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2

Since this system of equations doesn't have a solution, the system has no point of intersection.

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Answer:12cm

Step-by-step explanation:3+3+3+3 because its 3x3 so their is 3cm on each side

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0.75 ( + 16) = 3 − 0.5( − 8)
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The correct answer is 5.25
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Can somebody help me please ​
frozen [14]

Answer:

lets use X as a number

(x×2)+(x)+(x-40)

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