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A class trip consists of 84 students and 6 teachers. How many students per teacher are there? I

Answer:

x = 1/2 or x = 2/3

Step-by-step explanation:

6x^2 = 7x - 2

=> 6x^2 - 7x + 2 = 0

=> 6x^2 - 3x - 4x + 2 = 0

=> 3x (2x - 1) -2 (2x - 1) = 0

=> (2x - 1) (3x - 2) = 0

2x - 1 = 0

=> 2x = 1

=> x = 1/2

or

3x - 2 = 0

=> 3x = 2

=> x = 2/3

Hopefully this helps!!

Answer:

x = [tex]\frac{2}{3}[/tex] , x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

6x² = 7x - 2 ( subtract 7x - 2 from both sides )

6x² - 7x + 2 = 0

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

product = 6 × 2 = 12 and sum = - 7

The factors are - 3 and - 4

Use these factors to split the x- term

6x² - 3x - 4x + 2 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 1) - 2(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(3x - 2) = 0

Equate each factor to zero and solve for x

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]

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

Answer:

4

Step-by-step explanation:

prime factorization of 8 is 2x2x2

prime factorization of 12 is 2x2x3

2x2 are the only common factors, therefore GCF is 4

Answer:

4 is the GCF

Step-by-step explanation:

12/4 = 3

8/4 = 2

Answer:

p=(180.50-19.50)/23

Step-by-step explanation:

A. Independent variable: number of rubber stamps n sold. Dependent variable: F(n), the total sales.

B. Only whole numbers. It is impossible to have negative and/or fractional stamps.

C. F(n) = $4.95n, which is 4.95 times n.

So, plugin 5 for n

[tex]f(5)= \$4.95(5)[/tex]

F(n) = $24.75

Answer:

Step-by-step explanation:

(3x+8)(x+4), distribute 3x over the second parenthesis first and then the 8

3x² + 12x + 8x + 32 , combine like terms

3x² + 20x + 32

Answer:

3x^2 + 20x + 32

Step-by-step explanation:

Distribute 3x over the second parenthesis first and then the 8.

#CarryOnLearning

 CD is 11 square root of 14.  

The measure of the side length CD in the given right angled triangle as per the measurements is equal to option C. 11√14 .

In right triangle ABE,

Measure of angle ABE = 90 degrees

Measure of angle AEB = 60 degrees

AB = 11√7

Using trigonometric ratio we have,

tan 60° = AB / BE

⇒ √3 = 11√7 / BE

⇒ BE = 11√7 / √3

⇒BE = 11√21 / 3

In right triangle BED,

Measure of angle BED = 90 degrees

Measure of angle EBD= 45°

⇒Measure of angle EDB= 45°

BE ≅ ED

BE = 11√21 / 3

⇒ED = 11√21 / 3

Using Pythagoras theorem,

BD² = BE² + ED²

⇒BD = √ 2 (11√21 / 3 )²

⇒BD = 11√21 / 3 × √2

⇒ BD = 11√42 / 3

In right triangle CDB,

Measure of ∠CDB = 90°

Measure of ∠DCB = 30°

tan 30° = BD / CD

⇒ ( 1/ √3) = 11√42 / 3 / CD

⇒ CD =  [11√42 / 3 ] × √3

⇒ CD = 11√14

Therefore, the length of the side CD in the triangle is equal to option C. 11√14 .

learn more about length here

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#SPJ2

Answer:

-1

Step-by-step explanation:

They already did the opposite reciprocal for you.

They have it in the form  now.

To find b you just enter (x,y)=(8,1).

Let's do that.

Subtract 2 on both sides:

b=-1

Answer:

0

Step-by-step explanation:

We can use the two points given, which are (-4, -2) and (3, -2), to solve for the slope and answer the question. We have to subtract the y-values and then subtract the x-values. Those differences, divided, give us our slope, as shown below:

[tex]\frac{-2-(-2)}{-4-3} =\frac{-2+2}{-4-3} =\frac{0}{-7} =0[/tex]

So, the slope is 0. If you have any more questions on finding slope, or found what I just did confusing, let me know so I can help you! :)

Answer:

the y-intercept is 6 the slope is 3 / 5

Step-by-step explanation:

slope-6

y-intercept-3/5

Answer:

M = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Use the slope-intercept form y = mx + b  to find the slope m.

.

Answer:

x=48 because 180-156=24. 108+24=132 180-132=48

Answer:

=1187n

Step-by-step explanation:

5n+1182n=?

=1187n

Answer:

1) No it repeating

2)No it doesn't terminate nor repeat

3) yes this terminates

4) no its repeating

Step-by-step explanation:

Answer:

In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.

Answer:

(12+20)x=240

Step-by-step explanation:

x=number of hours

If she earns $12 per hour and a $20 bonus you divide that from 240 to get the number of hours she worked.

Hope this helps :)

Answer:x is two

Step-by-step explanation:

Step-by-step explanation:

f (x) = 1 - 5x

g (x) = 2x + 3

find (fog) (x)

it's a composite function so basically we substitute x = 2x + 3 where we see x in f (x) = 1 - 5x

so doing that we'll get

1 - 5(2x + 3)

next expand your brackets

1 - 10x + 15

equate to 0 to make things easier

1 - 10x + 15 = 0

make x the subject

1 + 15 = 10x (this is the same as 10x = 1 + 15)

x = 16/10 (you can leave it as a fraction)

fog(x) = 16/10

find gof (x)

we'll do the same thing again

2(1-5x) + 3

2 -10x + 3 = 0

2 + 3 = 10x

10x = 5

x = 5/10 (reduce)

x = 1/2

gof (x) = 1/2

Answer:

(7, -1) maybe...

Answer: The slope is 1/2 or 0.5

Answer:

17.5 Ounces

Step-by-step explanation:

14/100=.14                 .14x25=3.5              14+3.5=17.5

Answer:

6.50x + 3.99

Step-by-step explanation:

Every order of sweat shirts is charged $3.99

Each individual sweatshirt costs $6.50 therefore x being the number purchased times $6.50 is the cost of the sweatshirts that plus the 3.99 is your total cost.

Answer:

ASWKT TAKING X AS ANY NO.

X=1

by substituting we get answer as 2,0

Step-by-step explanation:

mark as brainliest

The value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees

Given the following expression

sin x = 0.5015

Taking the inverse of both sides

sin⁻¹(sinx) = sin⁻¹0.5015

x = sin⁻¹0.5015

x = 30.09 degrees

For the cos function

cos⁻¹(cosx) = cos⁻¹0.5015

x = cos⁻¹0.0670

x = 86.16 degrees

For the tan function

tan⁻¹(tanx) = tan⁻¹0.5015

x = tan⁻¹0.5015

x =38.12 degrees

For the tan function

tan⁻¹(tanx) = tan⁻¹9.254

x = tan⁻¹9.254

x =  83.83degrees

Hence the value of the given functions as listed are 30.09 degrees, 86.16 degrees, 38.12 degrees, and 83.83degrees

Learn more here: https://brainly.com/question/4879274

Answer:

9

Step-by-step explanation:

just count it!!

hope its help

Answer:

x = 18 and x = 30

Step-by-step explanation:

The 3 angles lie on a straight line and sum to 180° , that is

90 + x + 4x = 180

90 + 5x = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

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

The 2 angles are corresponding and congruent , then

x = [tex]\frac{1}{2}[/tex] x + 15 ( multiply through by 2 to clear the fraction )

2x = x + 30 ( subtract x from both sides )

x = 30

Answer:

1. x=18    2. x=30

Step-by-step explanation:

For 1. the equation would be x+4x =90 as it is a 90 degree angle

So 5x=90 then x = 18

For 2. The 2 angles are the same so we set them equal to each other

x=1/2x+15

2x=x+30

x=30

Answer:

that's have no answer so sorry

Answer: Die with memories, not dreams. – Unknown

Step-by-step explanation:  Go make some good memories! Be yourself

Answer:

1

Step-by-step explanation:

/14-15/

/-1/

1(because absolute value of any real number is always positive and for zero itself zero)

Answer:

Yara will save $24.00 if she buys 8 notebooks from bookworm instead of barnyard books.

Step-by-step explanation:

if 2 notebooks = $14.00, then, 14 ÷ 2 = $7.00

Therefore, 1 notebook at Barnyard book is $7.00

She bought 8, so 8×7 = $ 56.00

> She will spend $56.00 at Barnyard book

while at bookworm, 5 notebooks cost $20.00

> 20 ÷ 5 = $4.00

Therefore, 1 notebook at bookworm cost $4.00

She bought 8, so 8×4 = $32.00

> She will spend $32.00

Subtract the total amount that she'll spend on both stores

$ 56.00 - $ 32.00 = $ 24.00

Therefore, Yara will save $24.00 if she buys 8 notebooks from bookworm instead of barnyard books

Answer:

The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and 72.

Answer:

8, 16, 24, 32, 40, 48, 56, 64, 72

Step-by-step explanation:

8, 16, 24, 32, 40, 48, 56, 64, 72