All categories

3 years ago

If x an integer and 2x +8 <22 and 3x >9, how many possible values of x are there?

Mathematics

2 answers:

11111nata11111 [884]3 years ago

6 0

Answer:

4, 5 and 6.

Step-by-step explanation:

2x + 8 < 22

2x < 14

x < 7.

3x > 9

x > 3.

So the possible values if x is an integer are 4, 5 and 6.

koban [17]3 years ago

5 0

Answer:

3 values

Step-by-step explanation:

2x +8 <22 and 3x >9

Solve the two inequalities separately and then put them back together

2x +8 <22

Subtract 8 from each side

2x +8-8 <22 -8

2x < 14

Divide by 2

2x/2 < 14/2

x < 7

Then solve the second inequality

3x>9

Divide by 3

3x/3>9/3

x >3

Putting them back together

x>3 and x < 7

Since it has to be an integer

4,5,6 are possible choices

3 values

You might be interested in

a bag contains four blue, three green, and five red balls. if four balls are drawn at random, what is the probability that two a

inn [45]

The Fully simplified answer is 1/36

5 0

2 years ago

Change 0.2 into a fraction in its lowest terms with working

densk [106]

Answer:

1/5

Step-by-step explanation:

0.2

=2/10

=1/5

8 0

3 years ago

Read 2 more answers

Louis was served 145 g of meat

tamaranim1 [39]

What is the rest of the question

5 0

3 years ago

Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need… b …to make 20% syrup? Answer: lbs of

Nutka1998 [239]

Answer:

Mom would required 1 lbs of Sugar and 4 lbs of water.

Step-by-step explanation:

Given:

Amount of Sugar syrup Mom wants to make = 5 lbs

Percentile amount of syrup she needs to make = 20%

Solution:

Let amount of sugar to make 20% syrup be 'x'.

So by definition of proportion we get;

$\frac {x}{5}=\frac{20}{100}$

Now Multiplying both side by 5 we get;

$\frac {x}{5}\times5=\frac{20}{100}\times5\\\\x=1\ lbs$

So we can say that;

Amount of water = $5-1=4 \ lbs$

Hence Mom would required 1 lbs of Sugar and 4 lbs of water.

6 0

3 years ago

You are making a welding fixture and must cut down a length of copper tubbing from 15 1/8 inches to 8 3/4 inches. If the leftove

Bumek [7]

Answer: $6\dfrac{3}{8}\text{ inches}$

Step-by-step explanation:

Given: Original length = $15\dfrac{1}{8}$ inches

$=\dfrac{8\times15+1}{8}=\dfrac{121}{8}$ inches ( In improper fraction )

Length of piece cut from original = $8\dfrac{3}{4}$ inches

$=\dfrac{4\times8+3}{4}$ $= \dfrac{35}{4}$ inches ( In improper fraction )

Length of piece leftover piece = (Original length ) - (Length of piece cut )

$=\dfrac{121}{8}-\dfrac{35}{4}\\\\=\dfrac{121-2\times35}{8}\\\\=\dfrac{121-70}{8}\\\\=\dfrac{51}{8}\\\\=6\dfrac{3}{8}\text{ inches}$

Hence, the leftover piece will be $6\dfrac{3}{8}\text{ inches}$ long.

6 0

3 years ago