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____ [38]
3 years ago
6

Solve the proportion t+4 / t-2 = 1/4

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

t+4 / t-2 = 1/4

t=-6 for your answer!

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Six times a number is 45 greater than the the product of the number and -3. Find the number.
blagie [28]

Let us try to formulate the expressions one by one.

let the number be x.

Step 1:

six time the number is 6*x = 6x

Step 2:

product of the number and -3 is -3x

Step 3:

now let us make equation for it:

6x = -3x +45

adding 3x on the left side,

6x+3x = 45

9x = 45

dividing right side by 9

x=45/9 = 5

So the number is x=5



6 0
3 years ago
If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 footb
Harman [31]

Answer:

Basketball: $6.75

Football: $7.50

Step-by-step explanation:

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7 0
2 years ago
What number is 10 more than 89
kotegsom [21]
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8 0
3 years ago
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A traffic light at a certain intersection is green 50% of the time, yellow 10% of the time, and red 40% of the time. A car appro
kati45 [8]

Answer:

6.4\times 10^{-5} = 0.000064 = 0.0064\%.

Step-by-step explanation:

Probability that the car encounters a green light on the first day: 50 \% = 0.5.

To meet the question's conditions, the car needs to encounter another green light on the second day. Given that the colors of the light on each day are "independent," the chance that there's a green light followed by another green light will be

(0.5) \times 0.5 = 0.25.

  • Condition is met on the first two days and green light on the third day: (0.5 \times 0.5) \times 0.5 = 0.125.
  • Condition is met on the first three days and green light on the fourth day:   (0.5 \times 0.5 \times 0.5) \times 0.5.

To meet the condition on the fifth day, there needs to be a yellow light. The probability that the condition is met on the first four days and on the fifth day will be (0.5 \times 0.5 \times 0.5 \times 0.5) \times 0.1 = 0.5^{4} \times 0.1.

To meet the condition on the sixth day, all prior days should meet the conditions. Besides, there needs to be a red light on the sixth day. (0.5^{4} \times 0.1) \times 0.4

  • Seventh day: (0.5^{4} \times 0.1 \times 0.4 ) \times 0.4
  • Eighth day: (0.5^{4} \times 0.1 \times 0.4^2 ) \times 0.4
  • Ninth day: (0.5^{4} \times 0.1 \times 0.4^3 ) \times 0.4
  • Tenth day: (0.5^{4} \times 0.1 \times 0.4^4 ) \times 0.4 = 0.5^{4} \times 0.1 \times 0.4^{5}

The question asks that the condition be met on all ten days. As a result, the probability of meeting the condition will be equal to the probability on the tenth day: 0.5^{4} \times 0.1 \times 0.4^{5} = 6.4\times 10^{-5} = 0.000064 = 0.0064\%.

6 0
3 years ago
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Frank's bank charges a variable finance rate of 1.5 percent on purchases up to $100, and one percent for purchases over $100. If
Brilliant_brown [7]

Answer:

Hi there, $4.04 should be his finance charge.

Step-by-step explanation:

4 0
3 years ago
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