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tatiyna
3 years ago
6

I have three times as much money as does my brother. Our combined total is $42. How much does each of us have?

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0
For an instance, i stands for the money that you have, and b stands for the money that brother has.
An equation system based on the problem would be
i + b = 42 (equation 1)
i = 3b (equation 2)

Use substitution method to solve the problem
substitute 3b into i in the equation 1
i + b = 42
3b + b = 42
4b = 42
b = 42/4
b = 10.5

substitute the value of b into the equation 1
i = 3b
i = 3(10.5)
i = 31.5

You have $31.5 and your brother has $10.5
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Joan found a large metal bar that weighed 36 grams. Joan was also able to determine that the bar had 18 grams of zinc. What perc
tatiyna

Answer:

The weight of the zinc in the metal bar was 50% of the weight of the metal bar .

Step-by-step explanation:

Weight of the metal bar ,M= 36 g

Weight of the zinc in the metal bar , m= 18 g

Percentage of zinc in the metal bar :

=\frac{m}{M}\times 100

=\frac{18 g}{36 g}\times 100=50\%

The weight of the zinc in the metal bar was 50% of the weight of the metal bar .

6 0
3 years ago
1. A rabbit can hop 6 feet in 2 seconds and 12 feet in 4 seconds. If the number of feet varies directly with the time the rabbit
kykrilka [37]

Answer: The rabbit is hopping at 3 feet/ sec in speed

Step-by-step explanation:

Step 1

Let the The number of feet of the rabbit be expressed as N

AND  time rabbit spends hopping can be expressed  as  t

From the question,  The number of feet varies directly with the time rabbit spends hopping can be expressed  as

N α t

Let us introduce a constant of proportionality ,S which represents  speed in this case, we now have that

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STEP 2 -- SOLVING

If the rabbit hop 6 feet in 2 seconds, Then speed =

N = St

6=  S X2

S = 6/ 2

S = 3

also

If the rabbit hop 12 feet in 4 seconds, Then speed =

N = St

12=  S X 4

S = 12/ 4

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Also recall

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Pluging the values in the first case,

speed = 6 feet/ 2 secconds = 3 feet/ seconds

in the second case

Speed= 12 feet/ 4 second s= 3 feet/ secs.

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Tan T = UV/VT
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Answer:

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Step-by-step explanation:

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7 0
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