What is the sign of 45 + (-38)

Answer:

we conclude that:

[tex]3\sqrt{125}+4\sqrt{20}=23\sqrt{5}[/tex]    

Hence, the last option i.e. [tex]23\sqrt{5}[/tex] is correct.                      

Step-by-step explanation:

Given the expression

[tex]3\sqrt{125}+4\sqrt{20}[/tex]

Combining the radical expressions

[tex]3\sqrt{125}+4\sqrt{20}[/tex]

let us first solve

[tex]3\sqrt{125}[/tex]

[tex]=3\sqrt{5^3}[/tex]

[tex]=3\sqrt{5^2\cdot \:5}[/tex]

Apply radical rule:  [tex]\sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0,\:b\ge 0[/tex]

[tex]=3\sqrt{5^2}\sqrt{5}[/tex]

Apply radical rule:   [tex]\sqrt{a^2}=a,\:\quad \:a\ge 0[/tex]

[tex]=3\cdot \:5\sqrt{5}[/tex]

[tex]=15\sqrt{5}[/tex]

Thus,

[tex]3\sqrt{125}=15\sqrt{5}[/tex]

similarly solving

[tex]4\sqrt{20}[/tex]

[tex]=4\sqrt{2^2\cdot \:5}[/tex]

Apply radical rule:  [tex]\sqrt{ab}=\sqrt{a}\sqrt{b},\:\quad \:a\ge 0,\:b\ge 0[/tex]

[tex]=4\sqrt{2^2}\sqrt{5}[/tex]

Apply radical rule:   [tex]\sqrt{a^2}=a,\:\quad \:a\ge 0[/tex]

[tex]=4\cdot \:2\sqrt{5}[/tex]

[tex]=8\sqrt{5}[/tex]

Thus,

[tex]4\sqrt{20}=8\sqrt{5}[/tex]

so we get

[tex]3\sqrt{125}=15\sqrt{5}[/tex]

[tex]4\sqrt{20}=8\sqrt{5}[/tex]

so the expression becomes

[tex]3\sqrt{125}+4\sqrt{20}=15\sqrt{5}+8\sqrt{5}[/tex]        ∵ [tex]3\sqrt{125}=15\sqrt{5}[/tex] , [tex]4\sqrt{20}=8\sqrt{5}[/tex]

                        [tex]=23\sqrt{5}[/tex]                   ∵ [tex]15\sqrt{5}+8\sqrt{5}=23\sqrt{5}[/tex]

Therefore, we conclude that:

[tex]3\sqrt{125}+4\sqrt{20}=23\sqrt{5}[/tex]    

Hence, the last option i.e. [tex]23\sqrt{5}[/tex] is correct.                    

Answer: 5x-3

Step-by-step explanation:

(25x-15)

25/5x-15/5

5x-3

Answer:

5x-3?

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

cause I did it in classs

Answer:

288πin³

Step-by-step explanation:

Volume of a sphere is expressed as;

V = 4/3πr³

r is the radius = 6 inches

Substitute into the formula

V = 4/3π(6)³

V = 4/3π(216)

V= 864/3π

V = 288π in³

Hence the volume of the sphere is 288πin³

Answer:

13.73 hours

Step-by-step explanation:

On a map with a scale of

1 inch= 100 miles

the distance between two cities is 7.55 inches.

We convert from inches to miles

1 inch = 100 miles

7.55 inches = x

x = 7.55 × 100 miles

x = 755 miles

The distance between the two cities = 755 miles

If a car travels 55 miles per hour, about how long will it take to get from one city to another?

We are to calculate the Time

Speed = Distance /Time

Time = Distance/Speed

Hence, the time is calculated as:

755 miles/55 miles per hour

= 13.727272727 hours

≈ 13.73 hours

Answer:

The mean is 7 nd the median is 8

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

Answer:

335 Miles

Step-by-step explanation:

804/12 = 67 MPH

5 × 67 = 335

Answer:

28.27

Step-by-step explanation:

C=2piR

c=(2)(3.1415926535)(4.5)

= approximately 28.27

28.27....................k?

Answer:

Step-by-step explanation:

Step 1: Add 4n to both sides.

n+4n=−4n−1+4n

5n=−1

Step 2: Divide both sides by 5.

5n

5

=

−1

5

n=

−1

5

Answer:

Step-by-step explanation:

What do you need me to do? Add? Subtract? Solve?

Answer:

2.4

Step-by-step explanation:

To Find :-

Solution :-

Points are (-2,-2) and (3,10)

Therefore ,

> m = -2-10/ -2-3

> m = -12/-5

> m = 2.4

Answer:

there are 18 boys and 6 girls

Step-by-step explanation:

Answer:

5x + y = −29

Step-by-step explanation:

Answer:

21x+14y

=7(3x+2y) taking common 7

Answer:

___________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

___________________________________________________________

According to the question ,

a) [tex]\sqrt{18} =\sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}[/tex]

b) [tex]\sqrt{12} =\sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}[/tex]

c) [tex]\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4\sqrt{2}[/tex]

Answer:

12/3 or 4 hours

Step-by-step explanation:

Answer:

reading, chores, and then homework

Step-by-step explanation:

just accept it

Answer:

(6x² - 22x + 20) square units

Step-by-step explanation:

The area of a rectangle is calculated as:

Length × Width

From the question

Length = (x - 2)2 = 2x - 4

Widths = 3x - 5

The area of the rectangle =

(2x - 4 ) × (3x - 5)

2x(3x - 5) -4(3x - 5)

6x² - 10x - 12x + 20

6x² - 22x + 20

The area of the rectangle =

(6x² - 22x + 20) square units

Answer:

Step-by-step explanation:

4050 = 2900 (1 + 0.028/4)^4t

4050 = 2900 (1.007)^4t

Divide all by 2900

1.3965517 = 1.007^4t

TURN LOG

log (1.3965517) = log (1.007^4t)

47.8819724 = 4t

11.9704931 = t

Round to nearest year = 12

T = 12

3-5x=2

or, -5x=-1

or, x= 1/5

The value of x is 1/5 for equation 3 – 5x = 2

Two or more expressions with an Equal sign is called as Equation.

The given equation is 3 – 5x = 2

Three minus five times of x equal to two

We need to solve for x

3 – 5x = 2

Subtract 3 from both sides

3-3-5x=2-3

-5x=-1

Divide both sides by -5

x=-1/-5

x equal to one by five

x=1/5

Hence, the value of x is 1/5 for equation 3 – 5x = 2

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer: 12

Step-by-step explanation: 3*4/1 = 12/1 =12

Given,

[tex] - 98 = - 7h[/tex]

[tex] \implies \: - 7h \: = - 98[/tex]

[ Firstly, Arrange it ]

Now,

[tex] \implies \: h = \cancel\dfrac{ - 98}{ - 7} [/tex]

minus sign minus sign are also canceled.

[tex] \implies \: h \: = 14[/tex]

hence,the value of h is 14 .

Answer:

Angle A =  50

Step-by-step explanation:

Answer:

4800000 increase in sales

Step-by-step explanation:

Answer:

2. 12

Step-by-step explanation:

Answer:

He earns $51.02

Step-by-step explanation:

If Michael earns an 8% commission, then he is paid 8% of what he sells it for. Therefore, he earns 8% of $637.75.

Your equation is y = 0.08 × 637.75

y = 51.02

He earns $51.02