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kirill115 [55]
3 years ago
8

List the integers that satisfy both these inequalities. Put the answers on one line.

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0

Answer:

-7, -6, -5, -4, -3

Step-by-step explanation:

Given:

2x + 5 < 0

x > -8

Thus, we can combine both statements to find out integers that satisfy both inequalities.

2x + 5 < 0

Let's find x

2x < 0 - 5 (substraction property)

2x < -5

Divide both sides by 2

x < -5/2

This implies that -5/2 is greater than the set of values of x.

The second inequality, x > -8 implies that -8 is less than the value of x.

Les combine both:

-8 < x < -5/2

Therefore, the possible set of integers are whole numbers between the range of -8 and -5/2 which excludes -8 and -5/2.

Thus, they are:

-7, -6, -5, -4, -3

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A plane flies over city A and reaches city B, 115 miles away, in 15 minutes. Find the speed of the plane in miles per hour assum
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So you want to find how many miles are being flown in one hour.

There are 60 minutes in one hour so you want to find how many times 15 goes into 60 so you can then multiply that by 115.


60 / 15 = 4.

Now multiply 115 by 4,

115 x 4 = 460


Therefore the plane is flying at B. 460 mph.

Hope I helped!

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Number of different types of atoms in the universe-
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3 years ago
Given that (5,4) is on the graph of f(x), found the corresponding point for the function f (x)+4
yarga [219]

Answer:

The corresponding point is (5,8)

Step-by-step explanation:

In this problem we know that

The rule of the transformation is equal to

(x,f(x)) ------> (x,f(x)+4)

so

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substitute

(5,4) ------> (5,4+4)

(5,4) ------> (5,8)

therefore

The corresponding point is (5,8)

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Read 2 more answers
Show how Carly can work out 171/2% of 240 in her head
KATRIN_1 [288]

17 ½ % of 240

First option

Change  the fraction ½ to a decimal. It would be 0.5 ( 1 divided by 2)

½=0.5

You will add the whole number 17 to the result.

17 + 05 = 17.5

Now you will divide by 100 (percent)

17.5 /100  To divide a decimal by 100,  move the decimal point two places to the left.

17.5 /100 = 0.175   times 240

0.175 x 240 = 42

Second option

Change the percent to an improper fraction

17 ½= 35/2 (you have to multiply (2 x 17) plus 1 equals 35 over 2 ( keep the denominator). It will be 35/2.  Put the other number (240) over 100 and multiply.

35/2 x 240/100 = 42

There is another way . You can simplify

Cancel all the zeros that you have and start to reduce.

            6

7       12

35 x 24<span> 0   </span> =  42

2       10 0

 1          5

           1

17 ½ % of 240  =  42

5 0
3 years ago
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