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Gnom [1K]
3 years ago
10

Write the statement using inequalities. The number c is between -2 and 3.

Mathematics
1 answer:
abruzzese [7]3 years ago
8 0

We see that the -2 is smaller than 3, so we will write this statement using this inequality:

-2 < c < -3

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Jana ran the first 3 and a half miles of a 5 mile race in 1 3rd of an hour. what was her average rate, in mph, for the first par
Lisa [10]

Answer:

always try to draw a diagram first

Step-by-step explanation:

Jana ran The first 3.5 miles in 1/3 of an hour. remember the problem tells us that we want our answer in miles per hour or mph. so we have to set up our problem so that our units match in the end. The diagram above shows 3.5 mi over 1/3 hour. so we must divide 3.5 miles by 1/3 hour

note:

3 \frac{1}{2} mi =  \frac{7mi}{2}

therefore

\frac{7mi}{2}  \:  \div  \:  \frac{1hr}{3}  =

\frac{7mi}{2}  \times  \frac{3}{1hr}  =  \frac{21mi}{2hr}  = 10 \frac{1}{2}  \frac{mi}{hr}

7 0
2 years ago
A number is greater than 8. The same number is less than 10. The inequalities x greater-than 8 and x less-than 10 represent the
jok3333 [9.3K]

Answer:

There are a few solutions because there are some fractions and decimals between 8 and 10

Step-by-step explanation:

Let the unknown number be 'x'

If the number is greater than 8 and the same number is less than 10, this can be expressed as;

x>8 and x < 10

Note that if x>8, then 8<x

The resulting inequalities are now;

8<x and x<10

Combining both inequalities we have: 8<x<10

Since the inequality didn't tell us that the variable 'x' is equal to 8 and 10, this means that our solution falls between 8 and 10 and the value of integer that falls within this range is 9. Other values that falls within this range are decimals and fractions.

Therefore it can be concluded that there are a few solutions because there are some fractions and decimals between 8 and 10

4 0
3 years ago
Read 2 more answers
Whats the product of (-3x+2y)(4x-y)
oee [108]

Answer:

-12x^2 + 11xy - 2y^2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the x intercept of the function x^3-5x^2-8x+48
Zinaida [17]

Answer:

(x+3)(x-4)^2

Step-by-step explanation:

= (x+3)(x^3-5x^2-8x+48)/(x+3)

= x (x^3-5x^2-8x+48)/(x+3)

= x^2-8x+16

= (x+3)(x-4)(x-4)

= (x+3)(x-4)^2

4 0
3 years ago
Read 2 more answers
Determine if the sequence below is arithmetic or
anzhelika [568]

9514 1404 393

Answer:

  arithmetic; common difference of 5

Step-by-step explanation:

It usually works well to check differences first. Here, they are ...

  8 -3 = 5

  13 -8 = 5

These are the same value, so the sequence is arithmetic with a common difference of 5.

7 0
3 years ago
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