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PolarNik [594]
3 years ago
6

peter runs laps on the school track every afternoon. he wants to run no more than 45 minutes a day. he can consistently run each

lap in 1.5 minutes. write an inequality that represents the situation
Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:

see the explanation

Step-by-step explanation:

Let

x ----> the number of laps

we know that

The number of laps multiplied by 1.5 minutes each must be at most 45 minutes.

The term "at most" means "less than or equal to"

The inequality that represent this situation is

1.5x\leq 45

solve for x

Divide by 1.5 both sides

x\leq 30\ laps

The maximum number of laps is 30

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Solve the following inequality. |3n-2|-2<1
disa [49]

Answer: \frac{-1}{3} < n < \frac{5}{3}

<u>Step-by-step explanation:</u>

| 3n - 2 | - 2 < 1

<u>               +2 </u> <u>+2 </u>

| 3n - 2 |       < 3

3n - 2 < 3     and     3n - 2 > -3

<u>      +2 </u> <u>+2   </u>              <u>     +2 </u>  <u> +2 </u>

3n       < 5      and     3n      > -1

       n <  \frac{5}{3}       and         n > \frac{-1}{3}

\frac{-1}{3} < n < \frac{5}{3}

Interval Notation:  (\frac{-1}{3},\frac{5}{3})

Graph:  \frac{-1}{3} o--------------------o \frac{5}{3}


7 0
3 years ago
Read 2 more answers
In the right triangle shown in the diagram below,
adelina 88 [10]

QUESTION :-

what is the value of x to the nearest whole number?

ANSWER :-

\cos( \theta)  =   \frac{base}{hypotenuse}  \\  \cos(30)  =  \frac{x}{24}  \\  \frac{ \sqrt{3} }{ \cancel2}  =  \frac{x}{ \cancel{24}}  =  \frac{x}{12}  \\ 1.732 =  \frac{x}{12}  \\ 12 \times 1.732 = x \\ x = 20.7

SO

the nearest whole number-->

20.7 --> approximately --> 21 units

5 0
2 years ago
The diameter of a grain of sand is estimated to be about .0024 inches. Write the estimated diameter of a grain of sand in scient
Orlov [11]

Answer:

2.4 x 10-₃

Step-by-step explanation:

the numbers with NO zeros should be first and the first number should be turned to a whole so like "2.4". Since there are 3 zeros (including the zero in the whole number place) you would write the 3 as the number in the right corner. And there is a minus sign beside the 3 because the Zeros are first. :)

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2 years ago
Each face of a cube has an area of 16 inches squared what is the volume of the cube
lakkis [162]

Answer:

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Step-by-step explanation:

The volume (V) of a cube is calculated as

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Given

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5 0
3 years ago
Please help!!!
Nonamiya [84]

Answer:

I belive it would be 1/5. ;;;

4 0
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