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Lerok [7]
3 years ago
15

7. Write three different fractions equivalent to 3/4. Explain how you know they are

Mathematics
1 answer:
Vesna [10]3 years ago
8 0
Three different fractions that are equivalent to 3/4 are 6/8, 9/12, and 12/16. I know that these fractions are equivalent because If you simplify them they all equal 3/4. I hope this helps!
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In a field there are cows, birds, and spiders. Spiders have 4 eyes and 8 legs each. In the field there are 20 eyes and 30 legs.
Kitty [74]

Answer:

1 spider, 3 cows, 5 birds.

Step-by-step explanation:

Cows (C): 4 legs, 2 eyes.

Birds (B): 2 legs, 2 eyes.

Spiders (S): 8 legs, 4 eyes.

The number of legs and eyes are given, respectively by:

30 = 4C+2B+8S\\20 = 2C+2B+4S

Multiplying the second equation by -2 and adding it to the first one gives us the number of birds:

30 -40= 4C-4C+2B-4B+8S-8S\\-10 = -2B\\B=5

Rewriting the original equations with B =5:

30 = 4C+2*5+8S\\20 = 2C+2*5+4S\\20 = 4C+8S\\10 = 2C+4S\\C=5-2S

Since the number of cows cannot be negative, and both C and S must be odd numbers, the only possible value of S is 1:

C=5-2S\\S=1\\C=3

7 0
3 years ago
A grading machine can grade 96 multiple
weqwewe [10]

Answer:

6.25 minutes or 375 seconds

Step-by-step explanation:

We can solve the following problem through the Proportion method.

Here,

we may take the time taken by the machine as x

96 : 2 : : 300 : x\\96x= 2 *300\\96x=600\\x=600/96\\x=6.25\ minutes

8 0
4 years ago
What is 4/1 times 2=to
taurus [48]
Any expression divided by remains the same, Multiply the numbers, answer is 8
3 0
3 years ago
A health food store makes trail mix using dried fruit and nuts. The cost of the dried fruit is $2.50 per
Vinil7 [7]

Answer:

cost of dried fruit per pound=2.5 $/pound

cost of nuts per pound =2 $/pound

total cost=225$ =cost of dried fruit +total cost of nuts

To find the cost of dried fruit we need to multiply cost of dried fruit per pound and the number of bounds hence 2.5 x where x is the number of bounds

which is the total cost of dried fruit and consequently 2y is total cost of nuts where y is the weight of nuts in pound

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Jeremias invested $20 at a rate of 8.5% compounded continuously. How long would it take to triple his money?
3241004551 [841]

Answer:

  • 13

Step-by-step explanation:

<u>Use formula for continuous interest:</u>

  • A = Pe^{rt}, where r- interest rate, t- time in years

<u>If A = 3P, and r = 0.085 then the equation is:</u>

  • 3P = Pe^{0.085t}
  • 3 = e^{0.085t}
  • ln 3 = 0.085t
  • 1.099 = 0.085t
  • t = 1.099 / 0.085
  • t = 12.9 ≈ 13 years

3 0
3 years ago
Read 2 more answers
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