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Elena-2011 [213]
3 years ago
15

A geyser Erupts every fourth day . Another geyser erupts every sixth day. Today both geysers erupted. In how many days will both

geysers erupt on the same day again?
Mathematics
1 answer:
Artist 52 [7]3 years ago
4 0
The next geyser erupts in 12 days
I believe this is the answer.
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The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is
SashulF [63]

Answer:

Step-by-step explanation:

Volume  = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4)  = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66   {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}

x = 7

length = x - 1 = 7 - 1 = 6ft

Width = x + 4 = 7 + 4 = 11 ft

4 0
3 years ago
A cereal box is an example of_____ and ________
gayaneshka [121]
A cereal box is an example of a rectangular prism and a rectangle.
3 0
3 years ago
I have 5 digits. My 4s are worth 4 (10000) and 4 ×10. My 3 is worth 3. The other is worth one tenth as much. My other digit is a
likoan [24]
The number is 40243 :)
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4 0
3 years ago
Y = x + 7 and y = -x + 2
larisa [96]

Answer:

y = x + 7

y = (-x) + 2

X + 7 = (-x) + 2

X + X = 2 - 7

2x = (-5)

<h3>x = (-5)/2 </h3>

Putting the value of X in equation

Y = (-5/2) + 7

Y = (-5)/2 + 7/1

Equalising the denominator by Taking LCM

Y = (-5)/2 +14/2

Y = ( -5 +14)/2

<h3>Y = (9)/2 </h3>
7 0
3 years ago
1. When Lucas dumped the coins out of his piggy bank, he noticed that there were only nickels and dimes, and the number of nicke
vaieri [72.5K]

1- The total value of the Lucas coins dumped out of his piggy bank was $ 5.

2- Franco dumped out 36 coins from his piggy bank (16 quarters and 20 nickels).

3- There is no possible solution, as neither combination gives a total of $ 10, which is the combined total of Lucas and Franco's coins.

1- Given that when Lucas dumped the coins out of his piggy bank, he noticed that there were only nickels and dimes, and the number of nickels was twice the number of dimes, to determine, if there were 50 nickels, what was the total value of the Lucas coins dumped out of his piggy bank, the following calculation must be performed:

  • Nickel = 0.05
  • Dime = 0.10  
  • N + D = X
  • N + 1 / 2N = X
  • 50 + 25 = 75  
  • 50 x 0.05 + 25 x 0.1 = X
  • 2.50 + 2.50 = X
  • 5 = X

Therefore, the total value of the Lucas coins dumped out of his piggy bank was $ 5.

2- Since when Franco dumped the coins out of his piggy bank, he noticed that there were only nickels and quarters, and the number of quarters was six more than half the number of nickels, to determine, if the total value of the coins Franco and Lucas dumped out of each piggy bank was the same, how many coins did Franco dump out of his piggy bank, the following calculation must be performed:

  • Nickel = 0.05
  • Quarter = 0.25
  • Q = 2N + 6
  • 4 x 0.25 + 6 x 0.25 = 1 + 1.5 = 2.5
  • 8 x 0.05 = 0.40
  • 2.5 + 0.4 = 2.9
  • 8 x 0.25 + 6 x 0.25 = 2 + 1.5 = 3.5
  • 16 x 0.05 = 0.8
  • 3.5 + 0.8 = 4.3
  • 10 x 0.25 + 6 x 0.25 = 2.5 + 1.5 = 4
  • 20 x 0.05 = 1
  • 4 + 1 = 5
  • 10 + 6 + 20 = 36

Therefore, Franco dumped out 36 coins from his piggy bank (16 quarters and 20 nickels).

3- Since when Callie dumped the coins out of her piggy bank, she noticed that there were only nickels, dimes and quarters, and the number of dimes was one more than twice the number of quarters, and there were half as many quarters as nickels, y the coins dumped out of Callie's piggy bank had a total value equal to that of the coins dumped out of Franco's and Lucas' piggy banks combined, to determine what was the total value of the nickels and dimes dumped out of Callie's piggy bank, the following calculation should be performed:

  • Nickel = 0.05
  • Dime = 0.10
  • Quarter = 0.25
  • (D + 1) + 1 / 2Q + N = 10
  • 1 x 0.1 + 20 x 0.1 + 10 x 0.25 + 20 x 0.05 = 2.1 + 2.5 + 1 = 5.6
  • 1 x 0.1 + 36 x 0.1 + 18 x 0.25 + 36 x 0.05 = 3.6 + 4.5 + 1.8 = 9.9
  • 1 x 0.1 + 38 x 0.1 + 19 x 0.25 + 38 x 0.05 = 3.9 + 4.75 + 1.9 = 10.55

Therefore, there is no possible solution, as neither combination gives a total of $ 10, which is the combined total of Lucas and Franco's coins.

Learn more in brainly.com/question/11096797

6 0
2 years ago
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