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shusha [124]
3 years ago
12

Patrick raced round a 440 metre circular track and stopped suddenly after 900 metres . How far was she from the starting point a

t the 900 metre mark ? Solve
Mathematics
1 answer:
castortr0y [4]3 years ago
8 0

Answer:

20 meters

Step-by-step explanation:

The track is circular so it means that after Patrick raced the entire track he is back at the starting point. In other words, every 440 meters he is back to the beginning.

So we would have that, if he races round the track twice, he would run 440(2) = 880 meters and he would be back at the starting point.

The problem asks us how far is he from the starting point at the 900 meter mark. If at 880 meters he is at the starting point, then at 900 meters he would be 900-880=20 meters from the starting point.

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notsponge [240]

Answer:

1.59

Step-by-step explanation:

log (2x-3)= log (3-x) -2

log (2x-3)/(3-x) =-2

If we remove log,

2x-3/(3-x) = e^-2

2x-3= 3e^-2 -xe^-2

2x+ xe^-2 = 3e^-2+3

x(2+e^-2) = 3( e^-2+1)

If you use calculator you will get answer nearly equal to 1.59.

7 0
3 years ago
Sofia has $1.90 worth of nickels and dimes. She has a total of 25 nickels and dimes altogether. Write a system of equations that
Alexandra [31]

Answer:

The number of dimes does Sofia has is 13 , and The number of dimes does nickles does Sofia has is 12

Step-by-step explanation:

Given as :

The net worth of nickels and dimes = $ 1.90

The total number of nickles and dimes altogether = 25

Let The number of nickles that Sofia has = n

And The number of dimes that Sofia has = d

Now,

Since The value of 1 nickle = \frac{1}{20} dollar

And The value of 1 dimes =  \frac{1}{10} dollar

So, According to question

n + d = 25          ..........1

And  $ \frac{1}{20} × n + $ \frac{1}{10} × d = $ 1.90

Or, n + 2 d = 38        .....2

Solving Eq 1 and 2

∵  n + 2 d = 38

or, 25 - d + 2 d = 38

or, d = 38 - 25

∴ d = 13

So, The number of dimes she has = 13

And the number of nickles = n = 25 - 13

∴  n = 12

Hence The number of dimes does Sofia has is 13 , and The number of dimes does nickles does Sofia has is 12 Answer

3 0
3 years ago
Practice and homework lesson 1.7 subtract whole numbers estimate. Then find the difference 428,731 - 175,842
WITCHER [35]
The answer to the question

3 0
3 years ago
PLSS HELP!! Write only using positive exponents.
Natalija [7]

Answer:

Second option

Step-by-step explanation:

(16/36) × (x⁴/x^-2) × (y^-3/y) × (z⁴/z⁰)

= (4/9) × (x^4+2) × (1/y^3+1) × (z⁴/1)

= (4/9) × x⁶ × 1/y⁴ × z⁴

= [4x⁶z⁴]/(9y⁴)

= 4x⁶z⁴ ÷ 9y⁴

3 0
3 years ago
Help me with this I'm stuck I will give you branliest​
Rasek [7]

Answer:

d = 9

Step-by-step explanation:

Use the slope formula to calculate m and equate to m = 3

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(d, 21)

m = \frac{21-6}{d-4} = \frac{15}{d-4} = 3 ( multiply both sides by d - 4 )

3(d - 4) = 15 ( divide both sides by 3 )

d - 4 = 5 ( add 4 to both sides )

d = 9

5 0
3 years ago
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