Translate the following phrase into an algebraic expression. Use the variable b to represent the unknown quantity.

The number of soda bottles split 5 ways ​

Answer:

7.5×10^-3

Step-by-step explanation:

[tex] \frac{ 0.027}{64000} = \frac{2.7 \times{10}^{ - 2} }{6.4 \times {10}^{4} } [/tex]

due to the law of indices :

[tex] = 4.21875 \times 10 ^{ - 7} [/tex]

don't forget

(0.027/64000)⅓

so :

[tex] ({4.21875 \times {10}^{ - 7} })^{ \frac{1}{3} } [/tex]

i.e third root of the answer above

[tex] = 7.5 \times {10}^{ - 3} [/tex]

Answer:

I think I know !

Step-by-step explanation:

Answer:

BP

Step-by-step explanation:

the letters are congruent in order, so the last 2 letters of both sides are congruent

Answer:

10

Step-by-step explanation:

Given is an isosceles triangle and so:

3x + 20 = 5x export like terms to the same side of the equation

20 = 5x - 3x

20 = 2x divide both sides by 2

10 = x

Step-by-step explanation:

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Class 11

>>Maths

>>Trigonometric Functions

>>Trigonometric Equations

>>Solve for x: sin x + sin 2x...

Question

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Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.

Medium

Solution

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We write the given equation as

(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x

or 2sin2xcosx+sin2x=2cos2xcosx+cos2x

or sin2x(2cosx+1)=cos2x(2cosx+1)

or (sin2x−cos2x)(2cosx+1)=0

∴sin2x−cos2x=0 or 2cosx+1=0

If sin2x−cos2x=0, then tan2x=1,

Hence 2x=nπ+π/4

or x=(4n+1)

8

π

.(1)

If 2cosx+1=0, then cosx=−1/2 (2)

∴x=2nπ±

3

2π

or x=

3

6n±2

π

We seek values of x in the interval 0≤x≤2π

In this interval (1) gives

x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)

and (2) gives x=2π/3,4π/3. (for n=0,1)

Thus we get the answer

x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.

Answer:

Non Proportional

Step-by-step explanation:

As it does not pass through the origin.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The graph representing the given function is B

Answer:

equation : x = -3

slope : undefined

Step-by-step explanation:

The equation says that it is parallel to y-axis, meaning all the x values are the same. the slope is undefined because of (HOY / VUX)

Answer:

Answer:

8% is the answer

Answer:

8%

Step-by-step explanation:

Answer:

B. Width = 55ft; length = 70ft

Step-by-step explanation:

it is the only one in which the length is 15 ft longer than that of the width.

Answer:

3) -4

Step-by-step explanation:

Hi there!

2x + 4y = -16

The y-intercept occurs when x=0. Replace x with 0 and solve for y:

2(0) + 4y = -16

4y = -16

y = -4

Therefore, the y-intercept is -4.

I hope this helps!

Answer:

=3t+2

Step-by-step explanation:

if you ONLY solve the equations the answer is (3t+2) but if you evaluate the equation and the answer together it's (9t+8). So which ever answer you were looking for there's two different choices for two different ways.

(you're welcome, and hope this helps) :)

Answer:

Step-by-step explanation:

Answer:

√2

Step-by-step explanation:

given points are,

A = (4,5)

B = (3,4)

we know,

D = √(x_2 - x_1)² + (y_2 - y_1)²

→ √(3-4)² + (4-5)²

→ √(-1)² + (-1)²

→ √1 + 1

→ √2

therefore, distance between A and B is √2.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

x=35/4

Step-by-step explanation:

20x +5=180

20x=180-5

20x=175

x=175/20=35/4

Answer:

[tex]x=8.75[/tex]

Step-by-step explanation:

[tex]8x-6+11+12x=180~(Given)\\\\20x+5=180~(Simplify)\\\\20x+5-5=180-5~(Subtract~5~on~both~sides)\\\\20x=175~(Simplify)\\\\\frac{20x}{20}=\frac{175}{20}~(Divide~20~on~both~sides)\\\\x=8.75[/tex]

Answer:

99

Explanation:

The largest 2-digit number is 99 as the next number is 100 which is a 3-digit number

Answer:

0 is the answer on 16 x 64y

Answer:

1  x = 4      y= 2/3  = 1. 66667   see attached and join the lines to create shaded area.

Step-by-step explanation:

2x -3y = 3

16x (64y) = ?

we can multiply the 2x by 8 to find x = 16 and -3y = -24y and 3 = 24

as shown 2nd one.

16x + (64y) =  c

16x -24y = 24    =   64y - 24y = c

40y = c - 24

40y/24 = y

1.66667 = y

y = 1.6667 or  1  2/3

2x -3 (  1 2/3 ) = 3

2x - 5 = 3

2x = 8

x = 4

y = 1. 66657

A triangle’s three angles sums up to 180 degrees. So the first thing you should do is subtract 50 from 180

180 - 50 = 130

Since it’s an isosceles triangle, ∠A and ∠B are of equal size. So we divide the result, 130, by two. This would give us the m∠A, which is 65.

130/2 = 65

Answer:

$5.00

Step-by-step explanation:

Answer:

5.00

Step-by-step explanation: this question was already answered but i need the points :p

The x-intercept occurs when y = 0. Therefpre if we make y = 0, and solve for x, then we can find the x-intercept.

since    x − 7(0) = –10

⇒             x − 0 = –10

                     x = -10

Answer:

should be, must be, gotta be it

Step-by-step explanation:

13² = 7² + x²

169 = 49 + x

x² = 169 - 49

x² = 120

x = [tex]\sqrt{120}[/tex] (do this stpd calculus)

x = 2[tex]\sqrt{30}[/tex]

________

[tex] \: [/tex]

x² = 13² - 7²

x² = 169 - 149

x² = 120

x = √120

x ≈ 2√30m

Answer: I gotchu it’s

9 and 1/5

Step-by-step explanation:

Answer:

m<ADB = m<DBC

because they're alternate interior angles.

m<ABD = m<BDC

because they're alternate interior angles.

DC = AB, opposite sides.

AD = BC, opposite sides.

m<ADB = m<ABD, adjacent angles.

m<BDC = m<DBC, adjacent angles.

Answer:

29520728184915396206153835295

Answer:

I would think its C

Step-by-step explanation:

Since you are subtracting 15 from 275, it would be 275-15

i am assuming you dont need any help on the variables, so I hope this helps :)

If i am wrong, please let me know :DD

have a nice day, *insert preferred referral here*!!

The function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks is G(t) = 275 - 15w and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks:

Step 1 - Let the total number of weeks be 'w'.

Step 2 - So, the total amount of water reduced from the tank is:

= 15w

Step 3 - So, the function that can be used to evaluate 't', the total number of gallons of water in the tank after w weeks is given below:

G(t) = 275 - 15w

Therefore, the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/25834626

It looks like an equilateral triangle (equal sided) so y=1

Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer: 1.

Step-by-step explanation:

The triangle in the picture is an equilateral triangle, meaning that all the sides are equal. Since we know that one of the sides is equal to one according to the picture, we know that the answer is 1.

Answer:

The answer is - 113 that is the correct answer skipping in three's and the first one is - 97

Answer:

-97, -101, -105, -109, -113, -117

Step-by-step explanation:

the order was add -4 each time

Answer: 24 boxes

Step-by-step explanation:

Answer:

Arianna can move 24 boxes

5

3:5

256 fluid ounces

Step-by-step explanation:

Answer:

x = - [tex]\frac{5}{6}[/tex] , x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

To find the zeros let f(x) = 0 , that is

12x² + 4x - 5 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 12 × - 5 = - 60 and sum = + 4

The factors are - 6 and + 10

Use these factors to split the x- term

12x² - 6x + 10x - 5 = 0 ( factor first/second and third/fourth terms )

6x(2x - 1) + 5(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(6x + 5) = 0

Equate each factor to zero and solve for x

6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - [tex]\frac{5}{6}[/tex]

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]