Solve for the value of v.
(6V+6)
(2v+4)

Answer:

N + B + D = 90     sum of ages is 90        (I)

B = 2 D     B is twice as old as D

N + 3 D = 90      using above equations

(N + 10) + 3 D = 100        add 10 to both sides

B + 3 D = 100             Brian is 10 yrs older than Nigel

2 D + 3 D = 100       Brian is twice the age of Dean

5 D = 100      

D = 20      Dean's age

Brian = 2 D = 40 Brian's age

90 - 60 = 30 = Nigel's age

Check:

N + 10 = B = 30 + 10 = 40 = Brian's age

Answer:

A. Total area of Alaska is considerable larger than total area of Connecticut.

B. Population of California is considerably larger that population of Alaska.

Step-by-step explanation:

A. What is the difference in total area of Alaska and Connecticut?

According to the US government, total areas of Alaska and Connecticut are 663,268 square miles ([tex]6.633\times 10^{5}[/tex] square miles) and 5,567 square miles ([tex]5.567\times 10^{3}[/tex] square miles), respectively.

The difference between both quantities is:

[tex]x = 6.633\times 10^{5}\,mi^{2}-5.567\times 10^{3}\,mi^{2}[/tex]

[tex]x = 6.577\times 10^{5}\,mi^{2}[/tex]

Which means that total area of Alaska is considerable larger than total area of Connecticut.

B. What is the difference in total population of California and Alaska?

According to the US government, total populations of California and Alaska are 39,512,223 people ([tex]3.951\times 10^{7}[/tex] people) and 710,249 people ([tex]7.103\times 10^{5}[/tex] people), respectively.

The difference between both quantities is:

[tex]x = 3.951\times 10^{7}\,people - 7.103\times 10^{5}\,people[/tex]

[tex]x = 3.880\times 10^{7}\,people[/tex]

Which means that population of California is considerably larger that population of Alaska.

Answer:

37

Step-by-step explanation:

239-17=222

222/6=37

37

as a simplified fraction, the answer is 4/77

as a decimal it is about 0.0519480519480519

Complete question:

A project is graded on a scale of 1 to 5. If the random variable, X, is the project grade, what is the mean of the probability

distribution below?

Grade(X)_____ 1_____2_____3_____4_____5

Frequency____3 _____5____ 9 ____ 5 ____ 3

P(X) : _______ 0.1 ___0.2 ___0.4 ___ 0.2 __0.1

Answer:

3

Step-by-step explanation:

Given the probability distribution :

Grade(X)_____ 1_____2_____3_____4_____5

Frequency____3 _____5____ 9 ____ 5 ____ 3

P(X) : _______ 0.1 ___0.2 ___0.4 ___ 0.2 __0.1

The mean of the distribution :

Σ(X * P(X)) :

(1*0. 1) + (2 * 0.2) + (3 * 0.4) + (4 * 0.2) + (5 * 0.1)

0.1 + 0.4 + 1.2 + 0.8 + 0.5

= 3

Answer:

the mean is 3

answer choice D

Answer:

Now suppose that x1,y1 , x2,y2 , , xn,yn are the vertices of a polygon (with positive orientation). The area of the polygon is A 1 2 C xdy ydx 1 2 x1y2 x2y1 x2y3 x3y2 xny1 x1yn . The problem asks us to find the area of the pentagon with vertices 0,0 , 2,1 , 1,3 , 0,2 , and 1,1 .

Step-by-step explanation:

The area of the given triangle JKL is 16 units square.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

Given vertices form a triangle in the coordinate plane ;

Base = 3 + 5 = 8 units

Height = 9 - 5 = 4 units.

Since the area of a triangle is given as (1/2) × base × height.

So,

Area = (1/2) × 8 × 4 = 16 unit square.

Hence "The area of the given triangle JKL is 16 units square".

For more about triangles,

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Answer:

32 is the values 21 is the integers

Step-by-step explanation:

that's may answer ty hope it's help

Answer:

no

Step-by-step explanation:

17/8 = 2.125

1/2 = 0.5

Two ratios are proportional if they are equal.

17/8 and 1/2 are note equal, so they are not proportional.

Answer:

Step-by-step explanation:

Yes

Answer:

2474

Step-by-step explanation:

(725 x 2) + (512 x 2)

(1450)+(1024)

=2474

Answer:

8×7×7 diameters should be accurate

Answer:

A

Step-by-step explanation:

Option second [tex]\rm (w-2.5)(w+2.5)[/tex] and option fourth  [tex]\rm (-4v-9)(-4v+9)[/tex]  are the products that result in a difference in squares.

It is required to identify which products result in a difference in squares.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We know that:

[tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]

In option first:

[tex]\rm = (5z+3)(-5z-3)\\\rm = -(5z+3)(5z+3)\\\rm = -(5z+ 3)^2[/tex]

Which is not the difference between squares.

In option second:

[tex]\rm=(w-2.5)(w+2.5)\\\rm =(w^2-2.5^2)[/tex]By using [tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]

It is the difference between squares.

Similarly, in option third:

[tex]\rm =(8g+1)(8g+1)\\\rm =(8g+1)^2[/tex]

It is not the difference between squares.

Similarly, in option forth:

[tex]\rm = (-4v-9)(-4v+9)\\\rm = (4v+9)(4v-9)\\\rm = (4v)^2-9^2[/tex]

It is the difference between squares.

Similarly, in option fifth:

[tex]\rm = (6y+7)(7y-6)\\\rm = 42y^2+13y-42[/tex]

It is not the difference between squares.

Similarly, in option sixth:

[tex]\rm =(p-5)(p-5)\\\rm =(p-5)^2[/tex]

It is also not the difference between squares.

Thus, option second and option fourth are correct.

Learn more about polynomial here:

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Answer:

the probability that both dessert and drink are sugar free = ¼

Step-by-step explanation:

We are told that there are 5 different sandwiches, 4 different desserts and 6 different drinks.

Now, since Two of the four desserts are sugar free, then the probability that the dessert chosen is sugar free is;

P(desert sugar free) = ½

Now, three of the the 6 drinks are sugar free, then the probability that the drink chosen is sugar free is;

P(drink sugar free) = 3/6 = ½

Thus, the probability that both dessert and drink are sugar free is;

P(both sugar free) = ½ × ½ = ¼

Answer:

Step-by-step explanation:

place a marker every mile along the race course. How

Answer:

c/d = 5x/3

Step-by-step explanation:

Given :-

c/d - a/b = x

a = 2c

b = 5d

To Find :-

Value of c/d in terms of x

Solving :-

Substitute value of a and b.

c/d - 2c/5d = x

3c/5d = x

c/d = 5x/3

Solution :-

c/d = 5x/3

Answer:

Step-by-step explanation:

2: 4/2 is 2

3: 4/3 is 1 1/3

4: 4/4 is 1

5: 4/5 is .8

x                                       y                                       y/x

2                                      2                                      4/2

3                               1 1/3 or 1.333...                        4/3

4                                      1                                        4/4

5                                 4/5 or 0.8                              4/5

Hope this Helped! :)

-SGO

Answer:

Follow the steps shown below.

Step-by-step explanation:

12cos(30)+2tan(60)

[tex]12*\frac{\sqrt{3} }{2} + 2\sqrt{3}[/tex]

[tex]6\sqrt{3} + 2\sqrt{3}[/tex]

[tex]8\sqrt{3}[/tex]

[tex]\sqrt{64*3}[/tex]

[tex]\sqrt{192}[/tex]

The quadratic polynomial 6x² – 7x + 2 has factors (3x – 2) and (2x – 1). Then the correct option is A.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The quadratic polynomial is 6x² – 7x + 2.

On factorization, we have

6x² – 7x + 2

6x² – (4 + 3)x + 2

6x² – 4x – 3x + 2

2x(3x – 2) –1(3x – 2)

(3x – 2)(2x – 1)

The factor is (3x – 2).

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

The value of the car today is $13,000, but will lose 11% of it's value each

Answer:

B

Step-by-step explanation:

it's just option B because it is only root

Answer:

the answer would be B. (2.5, -0.5)

plug the possibilities in and solve. just because it works for one, it doesn't mean that it will work for both.

3 (2.5) - (-0.5) = 7.5 + 0.5 = 8

(2.5) + (-0.5) = 2.5 - 0.5 = 2

i hope i helped. :)

Step-by-step explanation:

Read more about system of equations at:

brainly.com/question/12895249    if im wrong

Answer:

12 is the GFC.

Step-by-step explanation:

24 - 8, 3, 4, 6, 2, 12, 1, 24

60 - 10, 6, 2, 30, 20, 3, 5, 12, 4, 15

The greatest common factor of 24 and 60 is 12

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

For us to find the greatest common factor we need to find the common factors between the numbers.

The factors of 24 = 1,2,3,4,6,8,12 and 24

The factors of 60 = 1,2,3,4,5,6,12,15,30 and 60.

The common factors are ;

1,2,3,4,6 and 12

And the greatest common factor is 12. because it is the highest factor.

learn more about greatest common factor from

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Answer:

B

Step-by-step explanation:

to change a mixed number into an improper fraction

a [tex]\frac{b}{c}[/tex] = [tex]\frac{ac+b}{c}[/tex] , then

9 [tex]\frac{1}{3}[/tex]

= [tex]\frac{9(3)+1}{3}[/tex]

= [tex]\frac{27+1}{3}[/tex]

= [tex]\frac{28}{3}[/tex]

Answer:

we use the same program

Step-by-step explanation:

28/3 Is the answer!

(by the way you can use a simplify calculator

for most of the problems it gives you.)

Hopefully this helps you!

-Keira

Answer: 10 degrees

Step-by-step explanation:

-5+15=10

Answer:

slope: -1/2

y-int: 9/2

Step-by-step explanation:

rearrange 9-x=2y into slope-intercept form: y=mx+b (m being slope and b is y-intercept)

2y = -x + 9

divide both sides by 2 to isolate the y and get:

y = -x/2 + 9/2

m (slope) = -(1)/2

b (y-int) = 9/2

Answer:

1. 2c+9=m

Step-by-step explanation:

Answer:

the answer would be 3x+y-15

Answer:

(1 - 2sinα)(1 + 2sinα)

Step-by-step explanation:

1 - 4sin²α ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

1 - 4sin²α

= 1² - (2sinα )²

= (1 - 2sinα)(1 + 2sinα)