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Maurinko [17]
3 years ago
11

Which symbol makes this statement true? 2/3 ____ 50% <, >, =

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

>

Step-by-step explanation:

2/3 = 0.666666...

50% = 0.5

0.6666...>0.5

Therefore, 2/3>50%

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Step-by-step explanation:

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On field day, Danny captured 6 times as many flags as Jon during a game of capture the flag. Together, they captured 14 flags. H
Monica [59]

Answer:

The number of flags captured by Danny was 12

The number of flags captured by Jon was 2

Step-by-step explanation:

Let

x-----> number of flags captured by Danny

y---> number of flags captured by Jon

we know that

x+y=14 ------> equation A

x=6y -----> equation B

substitute equation B in equation A and solve for y

6y+y=14

7y=14

y=2\ flags

Find the value of x

x=6(2)=12\ flags

therefore

The number of flags captured by Danny was 12

The number of flags captured by Jon was 2

5 0
3 years ago
The simple interest I ( in dollars) for a savings account is jointly proportional to the product of the time t (in years) and th
In-s [12.5K]

Answer:

Part a) The constant of variation is r=0.0567 or r=5.67\%

Part b) I=\$662.03

Step-by-step explanation:

Part a) Find the constant of variation.

we know that

The simple interest formula is equal to

I=P(rt)

In this linear direct variation the constant r represent the constant of proportionality

where

I is the Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=5/12\ years\\ P=\$3,892\\ I=\$92\\r=?

substitute the values and solve for r

92=3,892(r(5/12))

r=(92*12)/(3,892*5)

r=0.0567

Part b) what will the interest be after 3 years

in this part we have

t=3\ years\\ P=\$3,892\\ I=?\\r=0.0567

substitute the values

I=3,892(0.0567*3)=\$662.03

5 0
3 years ago
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