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3 years ago

Solve the inequality. y – 5 ≥ 11

Mathematics

1 answer:

marin [14]3 years ago

6 0

Y - 5 ≥ 11

Add 5 to the both sides,

y - 5 + 5 ≥ 11 + 5

y ≥ 16

Hope this helps!

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A population of 100,000 decreases by 6% each year. write a graph to explain that

UNO [17]

Answer:

Step-by-step explanation:

Your graph equation is going to be y = 100,000 - .06x

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3 years ago

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Gavin goes for a run at a constant pace of 9 minutes per mile. Ten minutes later, Lars goes for a run, along the same route, at

sweet [91]

Answer: The answer is 35 minutes.

Step-by-step explanation: Given that Gavin goes for a run at a constant pace of 9 minutes per mile and after 10 minutes, Lars started running along the same route, at a constant pace of 7 minutes per mile. We need to find the number of minutes Lars will take to reach Gavin.

In 9 minutes, distance run by Gavin = 1 mile.

So, in 1 minute, distance travelled by Gavin will be

$d_G=\dfrac{1}{9}=\dfrac{7}{63}~\textup{miles}.$

Similarly,

In 7 minutes, distance run by Lars = 1 mile.

So, in 1 minute, distance travelled by Lars will be

$d_L=\dfrac{1}{7}=\dfrac{9}{63}~\textup{miles}.$

Now, since Lars started after 10 minutes, so distance run by Gavin in those 10 minutes will be

$d_{G10}=\dfrac{10}{9}=\dfrac{70}{63}~\textup{miles}.$

Now, difference between Lars and Gavin's rate of runnings is

$\dfrac{9}{63}-\dfrac{7}{63}=\dfrac{2}{63}.$

Therefore, the time taken by Lars to reach Gavin is given by

$t=\dfrac{\frac{70}{63}}{\frac{2}{63}}=35.$

Thus, the required time is 365 minutes.

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3 years ago

SOMEONE PLEASE HELP ASAPP I NEED HELP

fenix001 [56]

11

A diagonal connects a vertex to another vertex without being a side of the polygon. There are 14 vertices in a 14-gon. This leaves 13 vertices left to connect to (since we cannot connect the vertex to itself). However, two of these vertices will form the sides of the 14-gon. This leaves us with 11 possible diagonals we can draw.

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1 year ago

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lara [203]

Click on the picture! This is the explanation in accident I deleted it hope it helps!

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3 years ago

Find the difference. (12m + 1) - (5m - 4)

Law Incorporation [45]

Answer:

7m + 5

Step-by-step explanation:

1) Simplify.

(12m + 1) - 1 (5m - 4) -> (12m + 1) - 5m + 4

2) Eliminate unnecessary parenthesis.

(12m + 1) - 5m + 4 -> 12m + 1 - 5m + 4.

3) Combine like terms.

12m - 5m = 7m, 4 + 1 =5 -> 7m + 5

The solution is 7m + 5

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3 years ago