Una fábrica de bolígrafos fabrica sus propios productos en tres colores distintos. 25 de su fabricación son bolígrafos azules, 13 son bolígrafos negros y el resto son bolígrafos rojos. a.- ¿Qué fracción de bolígrafos son bolígrafos rojos? b.- Si en total en un día se han fabricado 2250 bolígrafos ¿ Cuántos se han fabricado de cada color?

Answer:

c.

Pattern A: 20, 18, 16, 14, 12, 10

Pattern B: 20, 19, 18, 17, 16, 15

Step-by-step explanation:

Pattern A starts at 20 and the rule is to subtract 2. The terms will therefore be:

= 20, 18, 16, 14, 12, 10

The numbers above were gotten by subtracting 2 from each term for the next term.

Pattern B starts at 20 and the rule is to subtract 1. The terms will be:

=  20, 19, 18, 17, 16, 15

Correct option is therefore option C.

Answer:

(1) 8.3

Step-by-step explanation:

Answer:

1) 8.3

Step-by-step explanation:

get rid of the (), which u will get 4x-28=0.3x+0.6+2.11

combine like terms, which u will get 4x-28=0.3x+2.71

move variable to one side and numbers to the other, which you will get

3.7x=30.71

divide both sides by 3.7 which u will get 8.3

Answer:

Katie's gallon

Step-by-step explanation:

Katie and Sunnie both have 20-gallon fish tanks that are leaking water!

For Katie

After 15 minutes, Katie's tank has leaked 4/3 gallon.

The rate of leakage =

4/3 gallon × 15 minutes

= 16

For sunny

After 20 minutes, Sunnie's tank has leaked 3/4 gallon.

Her rate is given as:

= 3/4 gallon × 20 minutes

= 15

Therefore,

The tank that is leaking faster is Katie's gallon

Answer:

C. Corresponding angles

Step-by-step explanation:

Hope this helps!

Please mark me brainliest if you can. :)

Answer:

$378

Step-by-step explanation:

(9000 x 0.70%) * 6 = 378

Answer:

The value of g(22) = 31

Hence, option D is correct.

Step-by-step explanation:

Given

To determine

g(f(2)) = ?

To determine g(f(2)), first, we need to calculate f(2)

so substitute x = 2 in f(x)= 4x³ – 10

f(x)= 4x³ – 10

f(2) = 4(2)³ - 10

f(2) = 32 - 10

f(2) = 22

so

g(f(2)) = g(22)

now substitute x = 22 in g(x) = [3x - 4] / [2]

g(x) = [3x - 4] / [2]

g(22) =  [3(22) - 4] / [2]

g(22) = [66-4] / [2]

g(22) = [62] /  [2]

g(22) = 31

so

g(f(2)) = g(22) = 31

Therefore, the value of g(22) = 31

Hence, option D is correct.

Answer:

The correct answer is D. 31.

Step-by-step explanation:

I got it right on the Plato test.

Answer:

9 * 10^4 is 300 times larger than 3 * 10^2

Step-by-step explanation:

Here, we want to compare the two figures and give the verdict on how big they are

as we can see, by squaring the second figure, we get the first

Mathematically, what we are saying is that;

(9 * 10^4) = (3 * 10^2)^2

So

basically, the difference between the two is to the tune of (3 * 10^2)

Hence we can conclude that the first number is 300 times bigger than the second number

Answer:

Th answer is x = (c - ab) / a

Step-by-step explanation:

The steps are :

a(x + b) = c

ax + ab = c

ax = c - ab

x = (c - ab) / a

Answer:

x=(c-ab)/a

this s answer

Answer:

Given a function y=f(x) its first derivative – the rate of change of y with respect to x – is defined by: dydx=limh→0[f(x+h)−f(x)h]. Finding the derivative of a function by computing this limit is known as differentiation from first principles

and put the formula answer will be there

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{\frac{3}{x+h}-\frac{3}{x} }{h}[/tex]

     = lim( h to 0 ) [tex]\frac{3x-3(x+h)}{hx(x+h)}[/tex]

     = ( lim h to 0 ) [tex]\frac{3x-3x-3h}{hx(x+h)}[/tex]

     = lim( h to 0 ) [tex]\frac{-3h}{hx(x+h)}[/tex] ← cancel h on numerator/ denominator

     = lim( h to 0 ) [tex]\frac{-3}{x(x+h)}[/tex] ← let h go to zero, then

f'(x) = - [tex]\frac{3}{x^2}[/tex]

Answer:

The formula is connecting R and A

 [tex]R = k \frac{1}{A}[/tex]

The value of 'K' = 18.15

Step-by-step explanation:

Step(i):-

Given that R is inversely proportional to A

      R ∝ 1 / A

      [tex]R = k \frac{1}{A}[/tex]

Given  R = 12 .1 and A = 1.5

       [tex]R = k \frac{1}{A}[/tex]

       [tex]12.1 = K (\frac{1}{1.5} )[/tex]

      K = 12.1 × 1.5

     K = 18.15

The value of 'K' = 18.15

Answer:

Julie jogged five times further than Jan.

Step-by-step explanation:

We can find this solution just by dividing Julie's distance by Jan's:

[tex]\frac{35x - 60}{ 7x - 12} \\\\= \frac{5(7x - 12)}{ 7x - 12} \\\\= 5[/tex]

So Julie jogged five times further.

Answer:

[tex]y-0=23(x-3)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and [tex]m[/tex] is the slope

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the point

[tex]y-0=m(x-3)[/tex]

Plug in the slope

[tex]y-0=23(x-3)[/tex]

I hope this helps!

Answer:

$67.98

Step-by-step explanation:

The discount was 25%, so you would need to multiply 90.64 and 0.25.

90.64*0.25= 22.66

However, that isn't your final answer because 22.66 is how much Sophie saved.

90.64-22.66= 67.98

Therefore, your answer would be $67.98.

Hope this helps :)

Answer:

45.54

Step-by-step explanation:

Answer:

$1900

Step-by-step explanation:

5% increase is $100 dollar

Answer:

Let

x= Mayor’s previous salary

y=his increased salary

5% increase means

(105/100)*x=y——-(1)

From the other reporter

The Mayor’s salary went up $2000

:. y-x=2000———-(2)

Put y= (105/100)*x into equation 2

105x/100 -x =2000

Multiply through by 100

105x-100x=200000

5x=200000

Divide both sides by 5

x=40000

Hence his previous salary was $40,000 and current one is

y=2000 +40000

y=$42000

Step-by-step explanation: from your question, you didn’t state whether it went up by 2000 or went to 2000. I chose went by 2000. If it were to be went to 2000 , the equation will be different. It would been 2000-x=y

Answer:

No. ≤  means less than or equal to

Step-by-step explanation:

Answer:  Holly would take 60 minutes to clean alone.

Step-by-step explanation:

Let t = Time taken by Holly to clean alone.

Given: Time taken by Mia to clean alone = 30 minutes

Time taken by Mia and holly to clean their room = 20 minutes

Then,

[tex]\dfrac1t+\dfrac{1}{30}=\dfrac{1}{20}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{20}-\dfrac{1}{30}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-2}{60}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{60}\\\\\Rightarrow\ t= 60[/tex]

Hence, Holly would take 60 minutes to clean alone.

Answer:

answer is 6√3

it's right answer

:-))

Step-by-step explanation:

General line equation: y = mx + c

When x = 0, y = 3. => (3) = m(0) + c, c = 3.

When x = -4, y = 5. => (5) = m(-4) + c,

5 = -4m + (3), -4m = 2, m = -0.5.

Hence the answer is y = -0.5x + 3.

Answer:

y=-[tex]\frac{1}{2}[/tex]+3

Step-by-step explanation:

To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)

m=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

=[tex]\frac{5-3}{-4-0}[/tex]

=2/-4

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

next, calculate b by substituting a point (0, 3) into the equation

y=mx+b

3=(-1/2)(0)+b

b=3

final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3

Answer:

3,6,-1,5, and -4

Step-by-step explanation:

Domains is the X

Answer:

hi

Step-by-step explanation:hi

Answer:

Be clear with your question please

Answer:

y=20+10x

Step-by-step explanation:

From the information provided, the equation would indicate that the cost of mowing a lawn would be equal to the flat rate plus the result of multiplying the cost per hour for the number of hours:

y=20+10x, where:

y is the cost of mowing a lawn

x is the number of hours

Answer:

25.6 minutes

Step-by-step explanation: add 11.7 and 2.2 then add 11.7 again

Answer:

I think it's 13

Step-by-step explanation:

Answer:

y=0.6 x=3.6

dddddddddddddddddd

Answer:

No

Step-by-step explanation:

don' really have time to explain but i'll try later hope this helps

Answer:

C. {(2,4) (3,4) (4,4) (5,4) (6,4)} is a function.

Step-by-step explanation:

Since there is one value of  y  for every value of  x  in  {(2,4) (3,4) (4,4) (5,4) (6,4)}, this relation is a function.

Answer:

A. x^27/10

B. 1/x^-27/10

Step-by-step explanation:

Mathematically, if we have the same base, we simply add up the index

Thus, we have that;

x^1/5•x^5/2 = x^(1/5 + 5/2) = x^(2 + 25)/10 = x^27/10

A) In the first form, we have that;

x^27/10

a = 27/10

B) We simply negate what we have above in terms of the index according to the indices law below;

a^b = 1/a^-b

Hence, we have that;

1/x^-27/10