Answer: Pedro tiene 2 años.
Step-by-step explanation:
Definamos la variable P como la edad de Pedro.
Sabemos que " El triple de la edad de pedro, más 2, es igual a la edad actual de pedro más 6"
Esto se escribe como:
3*P + 2 = P + 6.
Para encontrar la edad de Pedro, tenemos que resolver esa ecuación.
Para hacerlo, el primer paso es llevar todos los términos con "P" al lado izquierdo, y los términos sin "P" al lado derecho.
3*P - P = 6 - 2
2*P = 4
Ahora podemos dividir por 2 en ambos lados:
2*P/2 = 4/2
P = 2
Entonces podemos concluir que Pedro tiene 2 años.
Tawfiq Trading Company plans to supply 50,000 cartons of oil in January 2021 with the carton selling for $ 20.
It is predicted that the imported oil will fall by 20,000 if the price of a carton of oil falls by 20%.
develop the Supply Equation formula?
Answer:
[tex]\displaystyle s=5,000p-50,000[/tex]
Step-by-step explanation:
Linear Model
The supply of cartons of oil in January 2021 is predicted to reach 50,000 cartons for Tawfiq Trading Company with the carton selling for $20.
If we call s the supply of cartons and p the price, the ordered pair (p,s) for this condition is (20 ; 50,000).
It's predicted that the supply will fall by 20,000 if the price falls by 20%. The new supply will be 50,000-20,000=30,000 and the new price will be 0.8*$20=$16. This gives us the second point (16 ; 30,000)
The equation of a line passing through points (p1,s1) and (p2,s2) can be found as follows:
[tex]\displaystyle s-s_1=\frac{s_2-s_1}{p_2-p_1}(p-p_1)[/tex]
Substituting the given points:
[tex]\displaystyle s-50,000=\frac{30,000-50,000}{16-20}(p-20)[/tex]
Calculating:
[tex]\displaystyle s-50,000=\frac{-20,000}{-4}(p-20)[/tex]
[tex]\displaystyle s-50,000=5000(p-20)[/tex]
Operating and simplifying:
[tex]\displaystyle s-50,000=5,000p-100,000[/tex]
[tex]\mathbf{\displaystyle s=5,000p-50,000}[/tex]
i need help please
4L-30=70
Step-by-step explanation
perimeter of a rectangle =2(L+W)
assuming length =L
with =L-15
p= 2(L+L-15)
p= 4L-30
p=70
therefore equation of the perimeter =
4L-30=70
Jose and Aubree are reading the same book. At the beginning of the month, Jose was on page 5 and Aubree was on page 25. Jose will read 14 pages per day and Aubree will read 10 pages per day. Let
J
J represent the page of the book that Jose is on at the end of
t
t days into the month, and let
A
A represent the page of the book that Aubree is on at the end of
t
t days into the month. Write an equation for each situation, in terms of
t
,
t, and determine what page Jose and Aubree will be on on the day they are both on the same page.
Answer:
Step-by-step explanation:
Let J(t) represent Juan's equation and A(t) represent Aubree's equation. If Juan starts this venture on page 5, even if he didn't read any more days at all, when t = 0, he would still have read those 5 pages. Because he reads 14 pages per day, then he reads 14t and t represents the number of days gone by. His equation then is
J(t) = 14t + 5
Likewise, for Aubree, even if she decides not to read any more past the original 25 pages she started with, she would still have read those 25 pages. Her equation then would be
A(t) = 10t + 25
We need to know how many days will go by before they are both on the same page, so set the equations equal to each other and solve for t:
14t + 5 = 10t + 25 and
4t = 20 so
t = 5
After 5 days they will have both read the same number of pages.
The Canadian labor force as of 2019 was 32.7 million. There were 30.9 million employed What the unemployment rate would be?
Answer:
The unemployment rate would be 5.5%.
Step-by-step explanation:
It is given that,
The Canadian labor force as of 2019 was 32.7 million.
There were 30.9 million employed
We need to find the unemployment rate.
Unemployed = labor force - employed
= 32.7 - 30.9
= 1.8 million
[tex]\text{unemployment rate}=\dfrac{\text{unemployed}}{\text{labor force}}\times 100\\\\=\dfrac{1.8}{32.7}\times 100\\\\=5.5\%[/tex]
So, the unemployment rate would be 5.5%.
Pls hurry I need the answer
=============================================
Work Shown:
Apply the law of cosines
a^2 = b^2 + c^2 - 2*b*c*cos(A)
10^2 = 13^2 + 11^2 - 2*13*11*cos(A)
100 = 290 - 286*cos(A)
100-290 = -286*cos(A)
-190 = -286*cos(A)
190 = 286*cos(A)
286*cos(A) = 190
cos(A) = 190/286
A = arccos(190/286)
A = 48.368620460647
A = 48
Make sure your calculator is in degree mode.
Here are the monthly charges for Jo's mobile phone
Monthly charge 616
150 free minutes, then 18p per minute
150 free texte, then 18p per text
During one month, Jo makes 170 minutes of calls and sends 182 texte,
Work out the total charge for the month
The product of three positive integers is 300. If one of them is 5, what is the
least possible value of the sum of the other two?
Answer and Step-by-step explanation:
So, we are told that 3 positive integers multiply to be 300, and that one of the integers is 5.
First, we divide 300 by 5.
The result is 60.
Now, we take different (reasonable) numbers that add to 16:
10 and 6
12 and 4
We can see here that 10 and 6 are the integers because they add up to 16 and multiplies to 60.
#teamtrees #WAP (Water And Plant)
HELLP HELP PLSSSSSSSSSS
HELP
which point on the line number line represntes -1/3
Answer:
Point C
Happy Holidays!
Step-by-step explanation:
ay
I need some help ASAP brainliest will be given.
Step-by-step explanation:
y+7=3x
6x-2y=12
y=3x-7
6x-2(3x-7)=12
6x-6x-14=12
-14=12
There is no solution.
Help Please 10 pointsssssssss
Answer:
A is false
Step-by-step explanation:
A triangle can be drawn with exactly 1 acute angle. FALSE
A triangle can be drawn with exactly one right angle. TRUE
A triangle can be drawn with more than one acute angle. TRUE
A triangle can be drawn with exactly one obtuse angle. TRUE
of the 8 friends sitting around the table at lunch, 6 brought their lunch from home. Which
grid represents the percent of the friends who brought their lunch from home?
You didn't provide any grid, but I can tell you how to turn fractions into percentages: just build the following proportion
[tex]6\div 8=x\div 100[/tex]
and solve for [tex]x[/tex]:
[tex]x=\dfrac{600}{8}=75[/tex]
So, 75% of the friends brought their lunch from home.
Which math property is used in the expression below?
5(6 - 4) = 5(6) - 5(4)
Identity
Commutative
Associative
Inverse
Distributive
Answer:
Distributive
Step-by-step explanation:
Distributive Property
A simple random sample of size n = 20 is obtained from a population with population mean 64 and population standard deviation 17.
(a) What must be true regarding the distribution of the population in order to use the
normal model to compute probabilities involving the sample mean? Assuming that
the condition is true, describe the sampling distribution of sample mean.
(b) Find P(x < 67.3).
(c) Find P(x > 65.2).
Answer:
Kindly check explanation
0.57691
0.4719
Step-by-step explanation
A.) The distribution of sample means must follow a normal distribution ;
Mean = 64 ; Standard deviation = 17 ;
Standard Error = s/sqrt(n) = 17 / sqrt(20) = 3.8013155
N(64 ~ 17)
Given that:
mean (m) = 64
Sample size (n) = 20
Standard deviation (s) = 17
Find
P(x < 67.3)
Z = (x - m) / s
Zscore = (67.3 - 64) / 17
Zscore = 0.1941176
P(Z < 0.194) = 0.57691 (Z probability calculator)
(c) Find P(x > 65.2).
Zscore = (65.2 - 64) / 17
Zscore = 0.0705882
P(Z > 0.0705) = 0.4719 (Z probability calculator)
1a. A plant is $24 with a discount of 25% off. What is the discount ? (The
amount you save)
Answer:
The discount is $6, and the original price with the discount is $18.
Step-by-step explanation:
First we need to convert the percent 25%. into a decimal, 0.25.
Now we need to multiply the cost and the percentage. 24 × 0.25 = 6.
The discount is $6.
Now we need to subtract the original price and the discount.
$24 - $6 = $18.
I do not know how to solve this problem
Answer:
First you have to take a sleep
20 points
Two mountain bikers are riding on a 35-mile trail. Abel started at the beginning of the trail and is riding at a rate of 14
miles per hour. Neal started 6 miles ahead of Abel and is riding at a rate of 11 miles per hour. When will the boys be
at the same point on the trail?
If Abel's journey is represented by the equation d = 14t, where d represents the total distance and t represents time
in hours, what equation represents Neal's journey?
Two mountain bikers are riding on a 35-mile trail. Abel started at the beginning of the trail and is riding at a rate of 14 miles per hour. Neal started 6 miles ahead of Abel and is riding at a rate of 11 miles per hour. When will the boys be at the same point on the trail?
If Abel’s journey is represented by the equation d = 14t, where d represents the total distance and t represents time in hours, what equation represents Neal’s journey?
d = 11t + 6
11 and 6 are your answers
Please mark Brainliest
Answer:
11 and 6 are correct
Step-by-step explanation:
If 2 angles are vertical and one angle is 44 degrees,find the other angle?
Answer:
Step-by-step explanation:
Then the other angle must be 44 degrees as well.
who wrote this quote "Without feelings of respect, what is there to distinguish men from beasts?" WILL MARK BRAINLIEST
Answer:
Confucius ( a Chinese philosopher)
Step-by-step explanation:
Answer:
Confucius wrote the quote
Step-by-step explanation:
Honestly I think he wrote it to get across a point that is- without the common human respect for other people,we're all nothing but "animals", and people must be courteous to one another to get anything done no matter the situation.
A culture started with 6,000 bacteria. After hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number
Answer:
that would be c i had that ques 5 mns ago
Step-by-step explanation:
Answer:
It’s 3600
Step-by-step explanation:
I’m going to continue using up all my points
if you want brainliest, answer at least one of these questions:
What is the most embarrassing thing you’ve done in your life?
or
What is your favorite animal? (If you don’t have one, say your favorite foods or color)
Answer:
My favorite color is purple (any shade of purple) My favorite animal is between birds and dogs. Have an amazing day!
The square of a number xx is 33. The number xx is between what two consecutive whole numbers?
urgent NEED DONE NOW PLEASE
Points cuz it’s the holidays,, stay safe !
Merry Late Christmas and Happy early New Years !!! Hope you stay safe and healthy during these times :))
PLEASE HELP FAST ILL FIVE YOU ALL THE REST OF MY POINTS FOR THIS ONE ANSWER CHEKC IT FIRST BEFORE YOU ANSWER!!!
Answer:
They intersect at (-4,-3)
Step-by-step explanation:
hope that helps
f (x) = x 3 + 3x 2 - 3x + 35
Answer:
6x+35
Step-by-step explanation:
A car dealership is comparing the sales of two employees. The equation that represents Kevin’s sales is S = 60n-5, where n represents the number of years of employment. Dylan’s sales are displayed in the table below:
Years of Employment (n):
2
6
10
Number of Cars Sold (S)
104
324
544
(n) (S)
2 104
6 324
10 544
Compare the statement below to compare the employees’ rate of change.
greater than, 55, 60, -5, -116, 220, less than, 104, equal to
Kevin’s rate of change is _______. Dylan’s because Kevin sells_______ cars per year employed and Dylan sells ________ cars per year employed.
Answer:
I been trying to look for that answer for so long but can we help each other at least
Answer:
Step-by-step explanation:
We have Kevin's sales equation is
[tex]S=60n-5[/tex]
Step 1
Find out Dylan's sales equation
Find the slope
We need two points
We take
[tex](2,104)[/tex] And [tex](6,324)[/tex]
[tex]m=(324-104)/(6-2)[/tex]
[tex]m=\frac{220}{4} \\m=55[/tex]
Find the equation in slope intercept form
[tex]s=mn+b[/tex]
We have
[tex]m=55[/tex]
point [tex](2,104)[/tex]
Substitute and solve for b
[tex]104=55(2)+b\\[/tex]
[tex]b=104-110\\b=-6\\[/tex]
So
[tex]S=55n-6\\[/tex]
Therefore
Kevin's rate of change is 60
Dylan's rate of change is 55
Compare
Kevin's rate of change is greater than Dylan's rate of change because Kevin's sell 60 cars per year and Dylan's sells 55 cars per year.
PLEASE MARK ME AS BRAINLIEST
5. Viruses spread at an exponential rate. Write a model for a virus that starts with 1 person and increases by 400% every week. Write an exponential model in the form y=ab^x to represent this situation.
Answer:
y = 4^xStep-by-step explanation:
Initial number is 1 so a = 1
Weekly growth rate is 400% which is 4 times increase, therefore b = 4
So the function becomes:
y = 4^xA city planner is considering adding a pedestrian crossing signal to a particular intersection. They know that on average 11.5 cars go through the intersection each minute. It takes an average person 10 seconds to walk across the intersection. Name the distribution appropriate to model the time to the next car crossing this intersection (in minutes). Use the proper notation, and include the value of the distribution parameter (s).
Answer:
The number of cars that go through the intersection each minute X has Poisson distribution with parameter λ = 11.5
and the PMF of X is;
P (X = x) = e^-λ ( λˣ / x! ); where x = 0, 1, 2, 3, , , , , ,
Step-by-step explanation:
Given that;
on average eleven and a half cars go through the intersection each minute and It takes an average person ten seconds to walk across the intersection.
Therefore
The number of cars that go through the intersection each minute X has Poisson distribution with parameter λ = 11.5
and the PMF of X is;
P ( X = x ) = e^-λ ( λˣ / x! ) ;
where x = 0, 1, 2, 3, , , , , ,
What is needed to prove the triangles are congruent?
Answer:
l ×b length ×breadth or h×b height ×breadth only this much or if you have other formula plz send me plz and what your name
Answer:
To prove triangles are congruent (equal) you must show that corresponding sides have the same measure as well as corresponding angles having the same number of degrees.
Step-by-step explanation:
Answer: You need to show that the measure of angle G is equal to the measure of angle T.
