Answer:
a) 4/15
b) 900 bolígrafos azules
750 bolígrafos negros
600 bolígrafos rojos
Step-by-step explanation:
Una fábrica de bolígrafos fabrica sus propios productos en tres colores diferentes. 2/5 de su fabricación son bolígrafos azules, 1/3 son bolígrafos negros y el resto son bolígrafos rojos.
a) ¿Qué fracción de bolígrafos son bolígrafos rojos?
Deje que el número total de bolígrafos se represente como 1
La fracción de bolígrafos rojos =
1 - (Fracción de bolígrafos azules + Fracción de bolígrafos negros)
= 1 - (2/5 + 1/3)
El mínimo común denominador es 15
= 1 - (6 + 5/15)
= 1 - 15/11
= 4/15
Por lo tanto, la fracción de bolígrafos rojos = 4/15
b) Si se han fabricado un total de 2250 bolígrafos en un día, ¿cuántos se han fabricado de cada color?
Para bolígrafos azules
2/5 de su fabricación son bolígrafos azules,
= 2/5 × 2250 bolígrafos
= 900 bolígrafos azules
Para bolígrafos negros
1/3 son bolígrafos negros
= 1/3 × 2250 bolígrafos
= 750 bolígrafos negros
Para bolígrafos rojos
4/15 son bolígrafos rojos
= 4/15 × 2250 bolígrafos
= 600 bolígrafos rojos
R is inversely proportional to A
R = 12.1 when A =1.5 a) work out a formula connecting R and A
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
Please help I’ll give brainliest if correct
Select the correct answer.
Consider these functions:
f(x)= 4x3 – 10
g(x) = 3x - 4 /2
What is the value of g(f(2))?
A. -6
B. 2
C. 19
D. 31
Answer:
The value of g(22) = 31
Hence, option D is correct.
Step-by-step explanation:
Given
f(x)= 4x³ – 10 g(x) = 3x - 4 /2To 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.
What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
{x | x = –4, –1, 3, 5, 6}
{y | y = –2, 0, 1, 4, 9}
{x | x = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9}
{y | y = –4, –2, –1, 0, 1, 3, 4, 5, 6, 9
Answer:
3,6,-1,5, and -4
Step-by-step explanation:
Domains is the X
Answer:
hi
Step-by-step explanation:hi
Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
–10.5 9
–21/5 ≤ –5/2d
Answer:
No. ≤ means less than or equal to
Step-by-step explanation:
Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.
through:
(0,3)(−4,5)
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
If Jan jogged 7x - 12 miles and Julie jogged 35x - 60miles , how many times longer was Julie's travel distance than Jan's?
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.
Mia and holly can clean their room in 20 minutes, working together. Working alone, mia can clean the room in 30. How long would it take holly to clean alone?
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.
V Find the value of x in the triangle. 55° 629 c. 63
Answer:
Be clear with your question please
Help !!!
See question in image.
Please show workings .
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]
Pattern A start at 20 and has the rule subtract 2. Pattern b starts at 20 and has the rule subtract 1. Which shows the first several terms of patterns A and b
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.
Katie and Sunnie both have 20-gallon fish tanks that are leaking water! After 15 minutes, Katie's tank has leaked 43 gallon. After 20 minutes, Sunnie's tank has leaked 34 gallon. Which tank is leaking faster?
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
a(x + b) = c
make x the subject
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
How would figure out if a equation has one answer,zero answers,or infinite. Like a equation like 3(x+9)=3x+27
12.5 rounded to the nearest tenth, (I’m checking my answers so just the number will do thank you)
Answer:
I think it's 13
Step-by-step explanation:
sophie buy a guitar during the sale if the original price was $90.64 how much does sophie pay
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:
Question 11
<
Simplify the expression x^1/5 • x^5/2 Assume x > 0.
A) The answer can be written in the form x^a where
the exponent a is: Note: enter the exponent as a reduced fraction or integer.
B) The answer can be written in the form 1/x^b where the exponent b is:
Note: enter the exponent as a reduced fraction or integer.
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
Jose rides his bike to school every day. It takes him 11.7 minutes to ride from home to school. When he rides from school to home, it takes him 2.2 more minutes. How many minutes does Jose ride his bike every day?
Answer:
25.6 minutes
Step-by-step explanation: add 11.7 and 2.2 then add 11.7 again
1. You have a CD account at local bank. Your opening
balance is $9000. The compound interest rate that bank is
paying you 0.70% annually.
A) What is the interest earned after 6 years?
Answer:
$378
Step-by-step explanation:
(9000 x 0.70%) * 6 = 378
Can you help me with question number 10, please?
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
Solve this triangle using the law of sines
Answer:
answer is 6√3
it's right answer
:-))
1. Gold is an element. What does an element of gold contain? (S8P1.a) DOK 5 point
1
one kind of compound
O a single type of atom
O a simple mixture of different atoms
O one mixed substance of two different metals
help meeeee this are the last of my mf pointssssss
Answer:
y=0.6 x=3.6
dddddddddddddddddd
How many roots does a quadratic have if it does not cross the x-axis? = 2 real roots
True or false? I need help asap ty!
One newspaper reported that the mayor received a salary increase of 5%.Another paper reported that the mayor’s salary went up $2000. What was the mayor’s salary before the increase?
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
Sue charges a flat rate of $20 plus $10 per hour it takes her to mow a lawn. Which equation shows the correct way to find the cost y of mowing a lawn for x hours.
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
Compare 9 * 10^4 to 3 * 10^2. (A) 9 * 10^4 is 3 times larger than 3 * 10^2 (B) 9 * 10^4 is 30 times larger than 3 * 10^2 (C) 9 * 10^4 is 300 times larger than 3 * 10^2 (D) 9 * 10^4 is 3000 times larger than 3 * 10^2
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
Pls help and show working/explain
Answer:
C. Corresponding angles
Step-by-step explanation:
Hope this helps!
Please mark me brainliest if you can. :)
i have 10 mins to turn this in... please help
Answer:
No
Step-by-step explanation:
don' really have time to explain but i'll try later hope this helps
5. Which set of ordered pairs below represents a function? 31. {(1,1) (1,- 1) (4,2) (4, -2) (9,3)} b. {(3,4) (3,5) (3,6) (3,7) (3,8) } C. {(2,4) (3,4) (4,4, (5,4) (6,4)} d. {(1,2) (2,3) (3,4) (4,5) (4,6) }
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.
Write in point-slope form an equation of the line that passes through the point (3,0) with slope 23.
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!