The number of shelves, s, in a bookcase and the number of books, b, the bookcase can hold
​

Given:

The compound inequality is:

[tex]3\leq 3x-4<2x+1[/tex]

To find:

The integer solutions for the given compound inequality.

Solution:

We have,

[tex]3\leq 3x-4<2x+1[/tex]

Case 1: [tex]3\leq 3x-4[/tex]

[tex]3+4\leq 3x[/tex]

[tex]\dfrac{7}{3}\leq x[/tex]

[tex]2.33...\leq x[/tex]             ...(i)

Case 2: [tex]3x-4<2x+1[/tex]

[tex]3x-2x<1+4[/tex]

[tex]x<5[/tex]                  ...(ii)

Using (i) and (ii), we get

[tex]2.33...<x<5[/tex]

The integer values which satisfy this inequality are only 3 and 4.

Therefore, the integer solutions to the given inequality are 3 and 4.

Answer:

Breadth is 4 m and length is 8m

Step-by-step explanation:

Area of the rectangle = Length * breadth

Area of the rectangular goat pen= 32 square meters

Perimeter of the rectangular goat pen = 24 meters

Perimeter of the rectangle = 2(length + breadth)

          24= 2(l+b)

          12= length + breadth

         12- breadth = length ----------- equation A

Area = l*b

32= l*b

32= (12- b) *b

32= 12b- b²

b²-12b+32= 0------------------- equation B

Solving the quadratic equation by factorization

b²- 8b- 4b+32= 0

b(b-8) -4(b-8)= 0

(b-8) = 0

(b-4)= 0

b= 8 or b=4

As breadth is usually smaller than length then putting b= 4 in  equation A

gives

  12- breadth = length

12-4= length

length = 8

Hence breadth is 4 m and length is 8m

Answer:

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Step-by-step explanation:

B is the only set of numbers that is ordered from least to greatest.

Hope it helps :)

-2^3 = - 8

1/3 = 0.333

radical 5 = 2.236

_________________________________

- 8 , 0.333 , 1.7 , 2.236 , 3

- 8 , 1/3 , 1.7 , radical 5 , 3

Thus the correct answer is the second option .

Answer:

x = -5/2 or -2.5

Step-by-step explanation:

Answer:

x=2.5

Step-by-step explanation:

2(x-3)=4x-1

2x-6=4x-1

2x-5=4x

2x=5

x=2.5

Answer: 5 years

Step-by-step explanation:

Given

Linda is [tex]3\ \frac{1}{3}\ yr[/tex] younger than Rose

Johan is [tex]8\ \frac{1}{3}\ yr[/tex] older than Linda

Suppose the age of Rose is [tex]x[/tex]

So, Linda's age

[tex]x-\dfrac{3\times3+1}{3}=x-\dfrac{10}{3}[/tex]

Johan's age

[tex]x-\dfrac{10}{3}+\dfrac{8\times3+1}{3}=x+\dfrac{-10+25}{3}\\\\x+\dfrac{15}{3}=x+5[/tex]

Difference between the Rose's and Johan's age is

[tex]\Rightarrow x+5-x=5\ yr[/tex]

Answer:

The missing value are 38 ,47

Step-by-step explanation:

11,20,29,38,47,56

I hope this will help you

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Answer:

we add 9 to get the following concepts

11+9=20

20+9=29

29+9=38

38+9=47

47+9=56

Answer:

x=8

Step-by-step explanation:

Use the equal angle theorem so 3x+18=39. This equals 8 which is our answer.

By the way, can you follow me on Brainly?

Thanks!

Multiplying N by what he makes for each one and add to his salary:

P = 70N + 2200

Replace n with 26 and solve:

P = 70(26) + 2200

P = 1820 + 2200

P = 4020

He earns $4,020

Answer:

Multiplying N by what he makes for each one and add to his salary:

P = 70N + 2200

Replace n with 26 and solve:

P = 70(26) + 2200

P = 1820 + 2200

P = 4020

He earns $4,020

Step-by-step explanation:

Answer: 5 nickels and 19 quarters

Step-by-step explanation:

Let represent the number of nickels and let represent the number of quarters.

From the problem we can write these two equations:

+ = 24; (0.05) + (0.25) = 5.00

Isolate in the first equation: = 24 − .

Substitute 24 − for and solve for :

(24 − )(0.05) + (0.25) = 5.00

24(0.05) − (0.05) + (0.25) = 5.00

1.20 − 0.05 + 0.25 = 5.00

1.20 + 0.20 = 5.00

0.20 = 3.80

= 19

Use = 19 to find :

+ = 24; + 19 = 24; = 5

Answer: 5 nickels, 19 quarters

Hope this helps!

Answer:

19 quarters and 5 nickles

Step-by-step explanation:

19 * .25 = 4.75     .05 * 5 = .25     4.75+.25= 5

Answer:

Read answer below :)

Step-by-step explanation:

So you know that the height is 12 cm, and the base is 27 cm at full. When they show you half, that's 13.5. So, having three sides in the entire base-length of 27 cms, you'll divide 27 by 3, in which case you get 9. Each the the base lengths are 9.

So the formula for volume is length * width * height. Knowing the width (13.5), the length (9), and height (12), multiply them. Your final answer is 1458 for all of it. For one side, divide by 6.

Hope this helps

Answer:

none

Step-by-step explanation:

they don't add up to a right triangle.

Answer:

In the first data set, there is little variation in the prices. Half of the books cost between $3 and $7, with one-fourth of the books priced between $5.40 and $7. This is easy to read from the graph, since the medians divide the data into 4 equal groups.

In the second data set, there is a large range of prices. There is no simple description of the data. Looking at the graph, there are 3 "halves" of the data: $7 to $66 or $59, $26.80 to $81.40 or $54.50, and $66 to $99 or $33. This range of values does not give much information about general book prices.

Step-by-step explanation:

used this on my test and it was 100% correct.

Step-by-step explanation:

weeks. days. (wk,d)

2. 14. (2,14)

4. 28. (4,28)

6. 42. (6,42)

8. 56. (8,56)

Answer:

true

Step-by-step explanation:

percent means in every hundred so the statement is indeed true

Answer:

I think it would be true

Step-by-step explanation:

Answer:

The circumference is about 19 centimeters.

Step-by-step explanation:

The formula for finding the circumference of a circle is [tex]2\pi r[/tex] or simply [tex]\pi d[/tex].

Now input the values into the formula, keeping in mind that pi is almost 3.14.

[tex]\pi *6=18.84[/tex]

Answer ≈ 19 cm

Hope this helps; have a great day!

Answer:

I got 226.08

Step-by-step explanation:

I don't know if your trying to find the nearest whole number

The answer is the atomic mass. Hope this helps!!

Answer:

Neutrons and protons make up the atoms atomic mass.

Answer:

The miles per day are: 3 1/12.

Step-by-step explanation:

With  the information provided, in order to find the miles per day you have to divide the number of miles he walked by 3 that is the number of days:

9 1/4÷3

In order to solve this, first you have to convert the mixed number to an improper fraction by multiplying the denominator for the whole number, add the numerator and this would be divided by the denominator:

(4*9)+1/4

36+1/4

37/4

Now, you divide this by 3:

37/4÷3

37/(4*3)

37/12

You can conver this fraction into a mixed number by dividing 37 by 12. 12 goes into 37 three times which would be the whole number. Then, three times 12 is 36 and the remainder is 1. So, 1 would be the numerator and the denominator stays th same which is 12. The mixed number is: 3 1/12.

According to this, the answer is that the miles per day are: 3 1/12.

Answer:

C

Step-by-step explanation:

The first point would be (-3,-4) which means A and D are eliminated.

The second point is (-2,2) which means you are left with C which is the correct answer

Answer:

(2,8), (3,5),

Step-by-step explanation:

Answer:

46 degrees

Step-by-step explanation:

you know that if you add 134 and x  it will equal a straight line or 180 degrees. So set it up as an addition problem.

134 + x =180   subt. 134 from both sides

x=180-134

x=46 degrees

Answer:

46

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the middle line is the median you can see that they are the same

Answer: Look for a person called mmbutterglyper she will give you your answer she gave me all my answers UwU

Step-by-step explanation:

Answer:

Step-by-step explanation:

A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality. Example: Solve 2x + 3 ≤ 7, where x is a natural number.

Answer:

The answer is 35 kilograms of paprika to cover her costs exactly.

Step-by-step explanation:

Answer:

45.8

Step-by-step explanation: