Find the HCF of:
3x and 6x.​

Answer:

Step-by-step explanation:

The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.

Ratio of ages at present = 3:4

Age of Raju = 3x

Age of Ravi = 4x

Age after four years:

Raju's age  = 3x + 4

Ravi's age = 4x + 4

Ratio of ages after four year = 4 : 5

3x +4 : 4x + 4 = 4 : 5

(4x + 4)*4 = (3x + 4)*5

16x + 16 = 15x + 20  

Subtract 16 from both sides

16x  = 15x + 20 - 16

16x = 15x + 4

Subtract 15x from both sides

16x - 15x = 4

 x = 4

Age of Raju = 3x = 3*4 = 12 years

Age of Ravi = 4x = 4*4 = 16 years

Answer:

C

Step-by-step explanation:

Since it's the product, the two numbers must be multiplied together. -3 * x will equal 21, so -3x=21. By dividing both sides by -3, we see that x=-7

Answer:

(-7,-2)  

Step-by-step explanation:

y = 3x + 19

y = 5x + 33

Substitute in y. Basically set equal to each other.

3x + 19 = 5x + 33

-2x = 14

x = -7

y = 3 (-7) + 19

y = -21 + 19

y = -2

Answer:

y = -2

x = -7

Step-by-step explanation:

Substitute y= 5x + 33

5x + 33 = 3x + 19

Isolate x for 5x + 33 = 3x + 19: x = -7

For y = 5x + 33

Substitute x = -7

y = 5(-7) + 33

y = -2

So the solution is y= -2, x=-7

Answer:

A. 3.75 pounds

Step-by-step explanation:

16 ounces = 1 pound

converting 60 ounces to pounds

Let x = number of pounds

60 ounces = x pounds

Find the proportion

16 / 1 = 60 / x

Cross product

16 * x = 1 * 60

16x = 60

Divide both sides by 16

x = 60/16

x = 3.75

Therefore,

60 ounces = 3.75 pounds

Answer:

.324 or 18.9 degrees

Step-by-step explanation:

rule is

sine equals opposite over hypotenuse,

cosine equals adjacent over hypotenuse, and

tangent equals opposite over adjacent

OR

soh cah toa

sine = soh = 12/37 = .324

arcsin(.324) or sin^-1(.324) in DEGREES not radians =

18.9 degrees

Answer:

5) 15120

6) 11880

7) 336

Step-by-step explanation:

The formula for permutation where mPn is m!/(m-n)!

Applying this to question 5, we get 9!/4!, which is 15120.

For question 6, we get 12!/8!, which is 11880.

For question 7, we get 8!/5!, which is 336.

Answer:

2x-25<89

x<57

Step-by-step explanation:

2x-25<89

2x<89+25

2x<114

Divide by 2...

x<57

Hope this helped! Please mark brainliest :)

Answer:

13/15

Step-by-step explanation:

P(A∪B) = P(A) + P(B) – P(A∩B)

            = 2/3 + 4/5 - 3/5

 Getting a common denominator

            2/3 *5/5 + 4/5*3/3  - 3/5 *3/3

             10/15 + 12/15 - 9/15

             13/15

Answer:

[tex] \frac{13}{15} [/tex]

Step-by-step explanation:

We know that,

P(AUB) = P(A) + P(B) - P(A n B)

So,

[tex]P(AUB) = P(A) + P(B) - P(A n B) \\ = \frac{2}{3} + \frac{4}{5} - \frac{3}{5} \\ = \frac{10 + 12 - 9}{15} \\ = \frac{22 - 9}{15} \\ = \frac{13}{15} [/tex]

hope this helps you.

Have a nice day!

Answer:

a

Step-by-step explanation:

complementary angles sum to 90° , so

3x + 4 + 6x - 4 = 90

9x = 90 ( divide both sides by 9 )

x = 10

Answer:

Step-by-step explanation:

is option a correct

The correct property of addition is shown in the equation is,

⇒ Identity property.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The equation is,

⇒ a + bi + 0 + 0i

Now, We know that;

Condition of identity property is,

⇒ a + 0 = a

Thus, The correct property of addition is shown in the equation is,

⇒ Identity property.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ5

Answer:

[tex]P(Atleast\ 1) = 0.9999992[/tex]

Step-by-step explanation:

Given

[tex]p = 3\%[/tex] --- rate of hard disk drives failure

[tex]n = 4[/tex] --- number of hard disk drives

See comment for complete question

Required

[tex]P(Atleast\ 1)[/tex]

First, calculate the probability that the none of the 4 selected is working;

[tex]P(none) = p^4[/tex]

[tex]P(none) = (3\%)^4[/tex]

[tex]P(none) = (0.03)^4[/tex]

Using the complement rule, the probability that at least 1 is working is:

[tex]P(Atleast\ 1) = 1 - P(none)[/tex]

This gives:

[tex]P(Atleast\ 1) = 1 - 0.03^4[/tex]

[tex]P(Atleast\ 1) = 0.9999992[/tex]

[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]

==========================================================

Explanation:

The volume of a rectangular block is V = L*W*H. So we multiply the length L, width W and H.

For the smaller rectangular block, up to the water level shown, we have a volume of V = L*W*H = 12*8*7 = 672 cubic cm

Since 1000 cm^3 represents 1 liter, this means the tank has 672/1000 = 0.672 liters of water already.

Add on another 1.2 liters of water to get to 1.2+0.672 = 1.872

Therefore, the full tank's capacity is 1.872 liters

This converts to 1.872*1000 = 1872 cm^3

--------------------------------------------

The largest rectangular block has volume 1872 cm^3

We know the length and width (along the bottom) is L = 12 and W = 8 respectively. The height is unknown, but we can solve for it like so

V = L*W*H

L*W*H = V

12*8*H = 1872

96H = 1872

H = 1872/96

H = 19.5

The height of the tank is 19.5 cm

Answer

Step-by-step explanation:

y = -2x + 0

Therefore; y = -2x

Work Shown:

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (-2-6)/(1-0)

m = -8/1

m = -8

The slope is -8

We can think of it like saying "go down 8 and move to the right 1 unit", since -8 = -8/1.

Put another way: slope = rise/run = -8/1

rise = -8 and run = 1.

Answer:

-8

it's easy just use the equation y2-y1 ÷ x2-x1

Answer:

10

Step-by-step explanation:

6 + h + 8 = 24

h + 6 + 8 = 24

h + 14 = 24

h = 24 - 14

h = 10

i will solve it first i need full form

Answer:

When i tried solving it, there was no GCF except for 1.

However, the GCF of the numerator is 7

Answer:

Following are the solution to the given point:

Step-by-step explanation:

The formulated null hypothesis would be that the reported average do not differ significantly

[tex]H_o : \mu = \$3262\\\\H_a : \mu < \$3262 \ \text{(One tailed test)}[/tex]

Answer:

Never going to give you up.

Step-by-step explanation:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Answer:

Step-by-step explanation:

Draw a right triangle with the following conditions.

Make one of the acute angles come out to your right.

The adjacent side should be one of the sides that makes up the acute angle you just drew.

The adjacent side is also horizontal.

The other side is vertical at the left end point of the 15 cm side

The right angle is made by the two sides you have already.

Join the vertical end point to the horizontal endpoint not part of the right triangle.

Label the left side of the horizontal line as 25 degrees.

You are looking for the vertical line length.

The vertical line divided by the horizontal line length = tan(25)

vertical / 15 = tan(25)            Multiply both sides by 15

vertical = 15 * tan(25)

vertical = 15 * 0.4663

vertical = 6.995

Answer:

7 cm approximately

Step-by-step explanation:

A right triangle means one of the angles is 90 degrees. It tells one of the other angles is 25 degrees. It doesn't matter which one you call 25 degrees, just don't call the right angle 25 degrees:p.

We are given the adjacent side to 25 degrees. This is the side helping to create the angle whose measurement is 25 degrees. The other side helping to create the angle is the hypotenuse.

We are asked to find the opposite side to the 25 degree angle.

Since we are given the 25 degree angle, the adjacent side measurement=15 cm, and we are asked to find the opposite side measurement=x, we should use tangent ratio.

I like to refer to the acronym to help me remember which trig ratio to use: Soh Cah Toa.

So we need to solve tan(25)=x/15.

We can do this by multiplying both sides by 15 giving us 15tan(25)=x.

Now we punch it into our calculator giving us 6.995 cm approximately.

Answer:

75 in^2

Step-by-step explanation:

The surface area is the sum of the areas

Area of the square:

A = s^2 = 5^2 =25

Area of one triangle

A = 1/2 bh = 1/2 (5)(5) = 25/2

There are 4 triangles

4* (26)/2 = 50

The sum is 25+50 = 75

Hi!

[tex]P_{\square}=5^2=25 \ in.^2\\\\P_{\triangle}=\frac{1}{2}\cdot5\cdot5=\frac{1}{2}\cdot25=12,5 \ in.^2\\\\P_c=25+4\cdot12,5=25+50=\boxed{75 \ in.^2}[/tex]

Answer:

The vertical line test can be used to determine whether a graph represents a function.

If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Answer:

y=-2x+6

Step-by-step explanation:

For this question, you need the slope-intercept form which is y=mx+b, where m is the slope and b is the y-intercept. We should first find the slope of the equation. The slope is the rise-over-run; this means that the slope is equal to the difference in y over x. One way to find the slope is to count the difference between the two coordinates or you can use the formula. Either way, the y decreases by 2, and the x increases by 1. Therefore, the slope is -2.

Then, find the intercept. One way to do this by plugging in one of the coordinates into the equation we have so far, y=-2x+b. So, plug 4 in for y and 1 in for x; 4=-2(1)+b. Next, solve for b. This equals b=6.

Finally, plug in the slope and intercept for the final answer, y=-2+6.

The property of math they are learning is the distributive property

Answer:

the above answer help you.

Answer:

5:6 lol

Step-by-step explanation:

d, because the plastic has a difference of 2000 with respect to food