solve the inequality m - 3 less than -2

The area of a rectangle if the length is 5 more than 4 times the width, the algebraic expression for this is, A = (4b + 5) × b

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

The length is 5 units more than 4 times the width

Suppose,

length = l

width = b

So, according to given condition

l = 4b + 5

Now, the area for rectangle is

A = length × width

A = l × b

A = (4b + 5) × b

Hence, the algebraic expression is (4b + 5) × b

To learn more about Area check:

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Answer:

The probability of selecting two Democrats and three Republicans is 10.7%.

Step-by-step explanation:

Given that a city council consists of seven Democrats and eight Republicans, if a committee of five people is selected, to find the probability of selecting two Democrats and three Republicans the following calculation must be performed:

7 = 100

2 = X

2 x 100/7 = X

28.57 = X

8 = 100

3 = X

3 x 100/8 = X

37.5 = X

0.2857 x 0.375 = X

0.107 = X

0.107 x 100 = 10.7

Therefore, the probability of selecting two Democrats and three Republicans is 10.7%.

Answer:

12.57

Step-by-step explanation:

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The radius of the circle, r = 8 cm

The area of the sector, [tex]A=56\pi \ cm^2[/tex]

We need to find the measure of the sentral angle. The formula for the area of a sector is given by :

[tex]A=\dfrac{1}{2} r^2\theta[/tex]

Where

[tex]\theta[/tex] is the central angle

Substitute all the values,

[tex]\theta=\dfrac{2A}{r^2}\\\\\theta=\dfrac{2\times 56\pi }{8^2}\\\\\theta=\dfrac{7\pi}{4}\ rad[/tex]

So, the correct option is (b).

Answer:

I think after 1.6 s it Will catch the dog

Answer:

The volume of the shape is 560 ft^3

Step-by-step explanation:

To find the volume of the figure, we need to multiply the base area by the height of the figure

mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths

We have this as 8 ft * 10 ft = 80 ft^2

So multiplying this by the height which is 7 ft, we have this as;

7 ft * 80 ft^2 = 560 ft^3

Answer:

3100

Step-by-step explanation:

V=πr2h

 = 3.14 x [tex]10^{2}[/tex]x10

 = 3100

Answer:

profit %=35%

cp=Rs15

sp=?

profit amount =?

now,

sp=35%of cp

=35 of 15

__

100

= 5.25

again,

sp =cp + profit

=15+5.5

=20.5#

Step-by-step explanation:

hope it helps

URS= 20º

Hope this helps!!

Answer:

no possible triangles

Step-by-step explanation:

found on deltamath

Answer:

the answer is 0 or a

Answer:

If you know the area of one triangle, then you can multiply it by 2 to get the area of the parallelogram, because the other triangle is congruent.

Answer:

1.10 2.158 3.157 4.100. 5.32 6. 168 7.99 8.46 9.3

Step-by-step explanation:

Answer:

9, 84, 30, 10, 157, 45, 168, 3, 100, 99

Step-by-step explanation:

[tex]38 + 7x - 21 = 9x + 9[/tex]

Combine like terms.

[tex]17 + 7x = 9x + 9[/tex]

Eliminate a x.

[tex]17 = 2x + 9[/tex]

[tex]8 = 2x[/tex]

[tex]x = 4[/tex]

38 + 7x - 21 = 9x + 9

7x + 17 = 9x + 9

Subtract both sides 9

7x + 17 - 9 = 9x + 9 - 9

7x + 8 = 9x

Subtract sides 7x

7x - 7x + 8 = 9x - 7x

8 = 2x

Divide both sides by 2

8 ÷ 2 = 2x ÷ 2

x = 4

Hello, I Am BrotherEye

Answer:

I Will Help You!!

But I require More imformation Step-by-step explanation:

Answer:

-27

Step-by-step explanation:

3(-2)³-2-1 =

3(-8)-3 =

-24-3=-27

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The various forms of the expression use the relation ...

  -5 1/4 = -5 + -1/4 = -(6 -3/4) = -6 +3/4

Of course, the minus sign in a product can be moved around according to the associative and commutative properties of multiplication.

(8)(-5 1/4)

= (8)(-5 + -1/4)

= 8(-5) +8(-1/4)

= 8(-5) -8(1/4)

= 8(-6 +3/4)

Attached is the non-equivalent expression.

Answer:.......................

Step-by-step explanation: where is the juice...?

Answer:

3^3 - 4+6 = 17

Step-by-step explanation:

First you would do the exponents. 3 to the power of 3 (3^3) is 27.

Then you would add 4 and 6 (4+6) which will give you 10.

Finally, you would need to subract 10 from 27 (27-10) and you would get 17.

Hope this helps! :)

Answer:

29

Step-by-step explanation:

The expression is

a^3 - b + c

You just have to plug in the numbers, then evaluate,,

(3)³ - (4) + (6)

Let's start off with the exponent, so (3)³ = 3×3×3

3×3=9

9×3=27

Now, we have 27 - (4) + (6)

We have to get rid of the parenthesis so multiply the symbol next to it, - × 4 = -4, and + × 6 = +6. Now rewrite the equation.

27 - 4 + 6

27 - 4 = 23

23 + 6 = 29

Therefore, the answer its 29.

Hope this helps,

-Ketifa

The median is the middle number in a sorted, ascending or descending.

I believe that the answer is A.

I hope this helps!

Answer:

The manager purchased 28 soccer balls.

Step-by-step explanation:

Since the information states that the athletic department manager purchased a total of 52 balls, you can say that the result of adding up the number of footballs and soccer balls purchased is 52, which can be expressed as:

x+y=52, where:

x is the number of footballs purchased

y is the number of soccer balls purchased

Also, as the statement indicates the price of each type of ball and the total cost, you can say that adding up the results of multiplying the price of each ball for the quantity purchased is equal to the total amount spent, which is:

23.53x+19.86y=1,120.80

Now, you have 2 equations:

x+y=52 (1)

23.53x+19.86y=1,120.80 (2)

To be able to find the value of x and y, first you can isolate x in (1):

x=52-y (3)

Then, you can replace (3) in (2) and solve for y:

23.53(52-y)+19.86y=1,120.80

1,223.56-23.53y+19.86y=1,120.80

1,223.56-1,120.80=23.53y-19.86y

102.76=3.67y

y=102.76/3.67

y=28

Finally, you can replace the value of y in (3) to find the value of x:

x=52-28

y=24

According to this, the answer is that the manager purchased 28 soccer balls.

The answer is -5/2, hope this helps you!

Answer: Susie walked 4000 kilometers on day 18 of her program

Step-by-step explanation:

The question explains an arithmetic progression of  Susie's walk program

Now the nth term of an AP is given as

an = a1 + (n - 1 ) d

a1  =First term = 600 m

common difference , d =200

The 18th day of her program will be

a18 =  600+ (18 - 1 ) 200

a18 = 600+ 17 x200

a18 = 600+3,400

a18 = 4000

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

I solved C first using:

30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)

-

I solved A by looking across from C.

Angles on opposite sides should mirror each other but A includes 38* + C

Just by doing 112 + 38 you get 150.

-

I solved D by looking at 30*, alternative interior angles are the same so D is 30*.

-

I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.

Interior angles of a triangle should all add up to 180,

112 + 30 + B = 180

From this I got that B was 38.

Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.

I suggest reviewing this angles sheet if you're ever stuck in the future.

Answer:

C = 112, A = 150, D = 30, B = 38

Step-by-step explanation:

Answer:

C. 20%

Step-by-step explanation:

Answer:

n has to be negative

Step-by-step explanation:

To solve this equation, 15 has to be subtracted from 2 which is negative

Since n is positive then the overall result will be negative

Answer:

D

Step-by-step explanation:

They're not similar because the angle lengths are different.