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malfutka [58]
3 years ago
9

David weighs 20 pounds more than katie while jonathan weighs 120 pounds less than three times katie's weight if david and jonoth

an weigh the same amount how much does katie weigh
Mathematics
1 answer:
ladessa [460]3 years ago
3 0
D = k + 20
j = 3k - 120
d = j

k + 20 = 3k - 120
20 + 120 = 3k - k
140 = 2k
140/2 = k
70 = k.....so Katie weighs 70 lbs

David and Johnathan each weigh 90 lbs
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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

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2 years ago
The radius of a cylinder is doubled and its height is halved. Find the ratios of their surface areas.
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Answer: 1:1

Step-by-step explanation:

Let r be the radius and h be the height of a cylinder.

Formula: Curved surface area of cylinder = 2\pi rh

Now, if  radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height  will be  H=\dfrac{1}{2}

Now, new surface area = 2\pi RH= 2\pi(2r)\dfrac{h}{2}= 2\pi rh

Ratio of curved surface areas : \dfrac{\text{Surface area}}{\text{New surface area}}=\dfrac{2\pi rh}{2\pi rh}=\dfrac{1}{1}

Hence, the ratios of their surface areas = 1:1 .

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romanna [79]

Answer:

7 x 3/9 = 21/9 = 2.33

11 x 2/3 = 22/3 = 7.33

4/9 x 3/8 = 4/9 x 3 / 8 = 4/3/8 = 1/6

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Answer:

Step-by-step explanation:

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c) A firm is considering an investment that will earn a 6% rate of return. If it were to borrow the money, it would have to pay
statuscvo [17]

no the firm will not do the investment. because if the firm borrows the money & invest it in the project then the return will be 6% but the cost is 8%. so it will lose 2%.  

it also should not invest his own money on the project to get get the 6% return. because he could have loan the money to someone else & get 8% return. therefore his opportunity cost of investing the money is greater than the return.

therefore he should not make the investment .

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