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viktelen [127]
3 years ago
5

PLZ HELP find the value of x in each of the following x/3-2=6 and x/5+1=5

Mathematics
2 answers:
Aleks [24]3 years ago
8 0
The first one is X = 24 & the second one is x= 20
Fed [463]3 years ago
4 0

Answer:

x = 24

x = 20

Steps :

1) \ \frac{x}{3} - 2 = 6\\\\\

 \frac{x - 6 }{3} = 6\\\\\  \ x-6 = 6 \times 3\\\\\ \ x - 6 = 18\\\\\ \ x = 24

2) \frac{x}{5} + 1 = 5

  \frac{x+5}{5} = 5\\\\x + 5 = 5 \times 5\\\\x + 5 = 25\\\\x = 20

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The sum of the digits of a two-digit number is 8. The difference between the number and the reversed number is 10 more than the
Vesna [10]

Answer:

The number is 62

Step-by-step explanation:

Let the digits of the number be T and U;

A 2 digit number is represented as: 10T + U

So,

T + U = 8

10T + U - (10U + T) = 10 + 10U + T

Required

Find the digit

Make U the subject in the first equation

U = 8 - T

Substitute 8 - T for U in the second

10T + U - (10U + T) = 10 + 10U + T

10T + 8 - T - (10*(8-T) + T) = 10 + 10(8 - T) + T

10T + 8 - T - (80-10T + T) = 10 + 80 - 10T+ T

10T + 8 - T -80+10T - T = 10 + 80 - 10T+ T

Collect Like Terms

10T + 10T - T- T + 8  -80 = 10 + 80 - 10T+ T

18T -72 = 90 - 9T

9T + 18T  = 90 + 72

27T  = 162

T = 162/27

T = 6

Recall that:

U = 8 - T

U = 8 - 6

U = 2

<em>Hence, the number is 62</em>

5 0
3 years ago
Rita's score is 13 more than 3 times Milan's score.
Anna007 [38]
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The equation d = 3t gives the distance, d, in meters that Liam swims with respect to time, t, in seconds.
Natasha_Volkova [10]

Answer:

Liam's rate = 3 meters per second

Edgar's rate = 3.2 meters per second

Edgar swims faster

Step-by-step explanation:

<u>Liam:</u>

The equation d=3t gives the distance, d, in meters that Liam swims with respect to time, t, in seconds.

When t=0,\ d=0.

When t=1,\ d=3.

Rate of change:

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<u>Edgar:</u>

When t=20, \ d=64.

When t=40,\ t=128.

Rate of change:

\dfrac{128-64}{40-20}=\dfrac{64}{20}=3.2

Edgar's rate is 3.2 metres per second.

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Price of automobile= $3,000
AysviL [449]

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7 0
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A cake recipe suggests a cooking temperature of 325 degree Fahrenheit if the batter is less than one inch thick and 350F if the
bija089 [108]
The first step is finding the height of the cake. The formula for the volume of a box: Volume= length x width x height. So given the volume and length and width: 100= 9 x 11 x h. 100=99h and solve for h. h= 1.01 inches so the batter is more than one inch thick. That means that the matter needs to be baked at 350 degrees Fahrenheit. The formula to convert from Fahrenheit to Celsius:  T(C)= (T(F)-32) x (5/9). So (350-32) x (5/9) = 176.667. Rounded to the nearest whole number is 177 degrees celsius. 
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3 years ago
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