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krok68 [10]
3 years ago
12

IF 24 IS ADDED TO A NUMBER, IT WILL BE 3 TIMES AS LARGE AS IT WAS ORIGINALLY. FIND THE NUMBER

Mathematics
1 answer:
Romashka [77]3 years ago
3 0
x-the\ number\\\\x+24=3x\ \ \ \ \ \ |subtract\ 24\ from\ both\ sides\\\\x=3x-24\ \ \ \ \ \ \ |subtract\ 3x\ from\ both\ sides\\\\-2x=-24\ \ \ \ \ \ \ \ |divide\ both\ sides\ by\ (-2)\\\\\boxed{x=12}\leftarrow answer
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Solve for j.<br> 2j - k= 5
Andreas93 [3]

Answer:

j=1/2k+5/2

Step-by-step explanation:

2j−k=5

Step 1: Add k to both sides.

2j−k+k=5+k

2j=k+5

Step 2: Divide both sides by 2.

2j/2=k+5/2

j=1/2k+5/2

6 0
3 years ago
What is the answer to 3p-2=-29
tatuchka [14]

3p-2=-29

Add 2 to both sides

3p= -27

Divide 3 on both sides

Final Answer: p= -9

3 0
3 years ago
Read 2 more answers
Tanikwa started a new exercise program using the indoor track. In her first workout she ran 8 laps for every 4 laps that she wal
Elina [12.6K]

Answer:

The correct answer would be 2:1

Step-by-step explanation:

In order to find this, start with the ratio as it is written and sub in the values. Then simplify to the lowest possible terms.

Ran:Walker

8:4

2:1

6 0
3 years ago
4. Two savings accounts each start with a $200 principal and have an interest rate of 5%. One account earns simple interest and
slega [8]

Answer:

The compounded annually account will earn more interest over 10 years

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

  • P is the original value
  • r is the rate in decimal
  • t is the time

The rule of the compounded interest is A = P(1+\frac{r}{n})^{nt}, where

  • A is the new value
  • P is the original value
  • r is the rate in decimal
  • n is the number of periods
  • t is the time

The interest I = A - P

∵ Each account start with $200

∴ P = 200

∵ They have an interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ One account earns simple interest and the other is compounded  

   annually

∴ n = 1 ⇒ compounded annually

∵ The time is 10 years

∴ t = 10

→ Substitute these values in the two rules above

∵ I = 200(0.05)(10)

∴ I = 100

∴ The simple interest = $100

∵ I = A - P

∵ A = 200(1+\frac{0.05}{1})^{1(10)}

∴ A = 325.7789254

∵ I = 325.7789254 - 200

∴ I = 125.7789254

∴ The compounded interest = $125.7789254

∵ The simple interest is $100

∵ The compounded interest is $125.7789254

∵ $125.7789254 > $100

∴ The compounded annually account will earn more interest

   over 10 years

6 0
3 years ago
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour.
Andrews [41]
3t = 5(3-t)
3t = 15 - 5t
3t + 5t = 15
8t = 15
t = 15/8
t = 1 7/8 

7/8 * 60 mins = 52.50 minutes

t = 1 hour and 52.5 minutes

It took Stu 1 hour and 52.5 minutes to hike the trail one way.
3 0
3 years ago
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