Height in which Peyton grew in 3 ½ years = 5 ¼ inches
Height Peyton grows each year =
= 5 ¼ ÷ 3 ½
= 21/4 ÷ 7/2
= 21/4 × 2/7 ( division of fractions is the same as multiplication with reciprocal )
= 42/28
Let us simplify this by dividing the numerator and denominator by 2 .
= 42 ÷ 2 / 28 ÷ 2
= 21/14
= 1 7/14 inches
Peyton's average growth rate per year was 1 7/14 per year . Let us simplify it .
= Both 7 and 14 are divisible by 2 .
So , 1 whole 7 ÷ 2 / 14 ÷ 2
= 1 whole 1/2
= 1 1/2
Therefore , Peyton's average growth rate per year was 1 1/2 inches .
2. La suma de los cuadrados de dos números reales pares consecutivos es 52
Encuentra los números
Answer: ±4 y ±6
Step-by-step explanation:
Algunas definiciones:
Sea N un numero real.
El cuadrado de un numero es:
N^2.
Ahora, nos dicen que N es par, entonces podemos escribir:
N = 2*n
donde n es un numero entero.
Y el par consecutivo a N, va a ser M = N + 2.
M = 2*n + 2.
Entonces:
"La suma de los cuadrados de dos números reales pares consecutivos es 52"
(2n)^2 + (2n + 2)^2 = 52
Tenemos que resolver esto para n.
4n^2 + 4n^2 + 8n + 4 = 52
Entonces tenemos una ecuación cuadrática:
8*n^2 + 8n + 4 - 52 = 0
8*n^2 + 8n - 48 = 0
Antes de usar la ecuación de Bhaskara, dividamos todos los coeficientes por un factor común, en este caso 8 es un factor común:
(8*n^2 + 4n - 48)/8 = n^2 + n - 6 = 0.
Ahora resolvamos esto para n, las dos soluciones son
[tex]n = \frac{-1 +-\sqrt{1^2 - 4*1*-6} }{1*2} = \frac{-1 +- 5 }{2}[/tex]
Entonces las dos soluciones son:
n = (-1 - 5)/2 = -3
n = (-1 + 5)/2 = 2
Entonces, si tomamos la primer solucion, los numeros consecutivos son:
N = 2*-3 = -6
M = N + 2 = -4
Si tomamos la segunda solucion, n = 2.
N = 2*2 = 4.
M = N + 2 = 6.
Entonces podemos concluir que las soluciones son:
±4 y ±6
The submarine dove 150 feet from periscope height to an elevation of 200 feet below sea level.
A number line has points blank, A, negative 100, B, 0, C, 100, blank, D.
Which point is a representation of periscope height?
Point A
Point B
Point C
Point D
Answer:
d
Step-by-step explanation:
Answer:
It is point d
Step-by-step explanation:
√12
A. 2√5
B. 2√3
Which one?
Answer:
B. [tex]2\sqrt{3}[/tex]
Hope this helps!
Answer:
B.2√3
Explanation:
√2^2×√3
√2^2√3
2√3
Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
x² - y²
Answer:
-3
Step-by-step explanation:
-1*-1=1
2*2=4
1-4
=-3
Javier works 2 and 2 over 5 hours on Monday and 3 hours on Tuesday. His pay rate is $10.25 per hour. How much will be paid, in dollars for working on Monday and Tuesday?
I don't really understand the "2 and 2 over 5 hours" part Javier will be paid 30.75 for Tuesday.
Which statement is TRUE? A) The area of the blue circle is greater than the sum of the areas of the green square and black circle. B) The area of the blue circle is less than the sum of the areas of the green square and black circle. C) The area of the blue circle is equal to the sum of the areas of the green square and black circle. D) The area of the blue circle is twice the sum of the areas of the green square and black circle.
Answer:
C. The area of the blue circle is equal to the sum of areas of green square and black circle.
Step-by-step explanation:
The area of a circle is the circumference of the circle measured with its diameter. In the given scenario the area of the blue circle is greater than the area of black circle. This is because of the difference in diameter of the two circles. The area of green square plus the area of black circle equals the blue circle.
A pattern has 9 triangles and 30 squares on a piece of paper. What is
the ratio of triangles to squares?
Answer:
9:30
Step-by-step explanation:
IM BUILT DIFFERENT
please give answer i no wanna fail
Answer:48x14=672
139x12=1668
1668+672=2340
Step-by-step explanation:
You're finding the area of each stamp in length, so add the total area for each stamp together.
Brainly's not just for answers, it's for helping each other learn. :)
The graph of y = 4 – StartRoot 2 x EndRoot is shown.
On a coordinate plane, a curved line approaches the grid line at (3, 1.5) and ends at (0, 4).
Which statement about the graph is accurate?
The x-intercept of the graph is (4, 0).
The graph has no y-intercepts.
The maximum of the graph occurs at the y-intercept.
The minimum of the graph occurs at the x-intercept.
Answer:
c
Step-by-step explanation:
its the only answer that makes sense
Answer:
C
Step-by-step explanation:
it makes complete 100% sense
To all math experts here. Please answer it.
Answer:
where are the functions below? or should they be equated? like f(x) with the g(x)??
the relationship between altitude and the boiling point is linear.AT an altitude of 8300ft 8300 ft , the liquid boils at 194.23 194.23 degrees Fahrenheit an altitude of 4200 ft , 4200 ft , the liqiud boils at 202.02 202.02 degrees fahrenheit.Write an equation giving the boiling point b b of the liquid,in degrees fahrenheit in terms of altitude a in feet . feet . What is the boiling point of the liqud at 2600 ft 2600 ft
Complete Question
The relationship between altitude and the boiling point is linear. At an altitude of 8300ft, the liquid boils at 194.23 ° F
At an altitude of 4200 ft , the liquid boils at 202.02° F.
Write an equation giving the boiling point b of the liquid, in terms of altitude a in feet . feet . What is the boiling point of the liquid at 2600ft
Answer:
The equation is [tex]y = -0.001943x + 210.3569 [/tex]
At 2600ft the temperature is [tex]y = 205.3051 \ °F [/tex]
Step-by-step explanation:
From the question we are told that
The temperature at 8300ft is 194.23 ° F
The temperature at 4200 ft is 202.02° F
Generally the slope for this relationship is mathematically represented as
[tex]m = \frac{ 202.2 - 194.23}{ 4200 - 8300}[/tex]
=> [tex]m = 0.001943 ^o F / ft [/tex]
Generally the according to the point slope formula is
[tex]y - y_1 = m(x -x_1 )[/tex]
=> [tex]y - 194.23 = -0.001943 (x - 8300 )[/tex]
=> [tex]y - 194.23 = -0.001943x + 16.1269 [/tex]
=> [tex]y = -0.001943x + 210.3569 [/tex]
Now we are given from the question that x = 2600 ft
Then
[tex]y = -0.001943(2600) + 210.3569 [/tex]
=> [tex]y = 205.3051 \ °F [/tex]
24 is what percent of 300
Answer:
8
Step-by-step explanation:
x/100=24/300
100 times 24 =2400
2400 divided by 300 = 8
How many 3/20 inch lengths are in 5 2/5 inches?
Answer:
0.81
Step-by-step explanation:
15 = 9 -1/2x HELP!! PLZ
Answer:
x=-12
are you okay???
What is the value of 3 divide 1 1/4 in simplest form
Answer:
2.4
Step-by-step explanation:
20 characters nsnsjnsjs
if you can guess my middle name will mark Brainlyest.
hint one: named after a British toffee
hint two: it starts with a h
Answer:
Heath
I think
Step-by-step explanation:
Answer:
is it Heath?
Hope it helps!!!
Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and each group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.
Answer:
There were 4 adults; including Mr. Torres
Step-by-step explanation:
- Each row in the stadium had 9 seats
- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)
- The arrangement of the students and the adults who sat with them on same row is: A S S S A S S S A
1 2 3 4 5 6 7 8 9
since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.
So the total number of adults that were present = 3 + 1 = 4
PLEASE HELP ME BY ANSWERING AT LEAST 2 QUESTIONS ITS DUE IN 20 MINUTES
Answer:
Barry gets 300 first
Cheri gets 30 first
Barry gets 100 first
Representations:
Barry's profit = 5c + 20
Cheri's profit = 2c + 40
Step-by-step explanation:
well Barry's pprofit is
B = 5c + 20
and Cheri's profit is
C = 2c + 40
let's see who will get 300 first:
300 = 5c + 20
280 = 5c
56 = c
300 = 2c + 40
260 = 2c
130 = c
SO for 300 it is Barry who gets it first... same steps for others
ice cream store marks up price by 16% how much of original price was 1.25
Answer:
0.128
Step-by-step explanation:
Raymond uses the Venmo
app to transfer money to
his friends. He had $6.50.
He gave $2.95 to Theresa
and received $1.26 from
Peyton. How much money
does he have now?
Answer:
2.29
Step-by-step explanation:
2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.
Evaluate:
(-4) (-3)
Another easy 10 points for yall
Answer:
12
Step-by-step explanation:
tysm ily
(-4)(-3)
= 12
Easy lol
HELP PLEASE!!!
1. what's x if
18=6x
2. How do I change my username here on brainly?
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
Simply divide both sides of the equation by 6 and it'll be the answer.
In the book,the distance between two planets is given as 4.07×10^¹² kilometres. The speed of light is 1.1×10^⁹ kilometres per hour. Calculate the time taken for light to travel from one of these planets to the other. Give your answer in days and hours.
Answer:
3700hours
154days
Step-by-step explanation:
Speed can be defined as the distance cover per time, it can be expressed as
Speed= distance/ time........eqn(1)
Given:
distance between two planets= 4.07×10^¹²
speed of light = 1.1×10^⁹ kilometres per hour
Time= ??
Then substitute the values into equation (1) we have
Speed= distance/ time
1.1×10^⁹ kilometres per hour= 4.07×10^¹²kilometre/ time
Cross multiply, we have
Time= (4.07×10^¹²kilometre) /(1.1×10^⁹ kilometres per hour)
Time= 3700hours.
To convert to day, we know that
60 minute= 1hour
24hour=1day
Time= (3700hour×1day)/24hour
Time= 154days approximately.
Hence, the time taken for light to travel from one of these planets to the other is 154days or 3700hours
Original
Point
Reflection Over
The y-axis
(1,4)
Step-by-step explanation:
reflection over the y-axis the values of x will change so it's going to be -1,4
The midpoint of TP is (3,0). If one endpoint, point T, has the coordinates
(-2,-6), what are the coordinates of the other endpoint of TP?
Answer: (7, 6)
Step-by-step explanation: Use the midpoint formula but instead you’re finding the coordinates of the other point(not sure if that makes sense). There’s a shorter way tho
simply the following 2m⁵×5m³×7m²
Answer:
[tex]2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}[/tex]
Step-by-step explanation:
Simplify the expression
[tex]2m^5\cdot 5m^3\cdot 7m^2[/tex]
Calculate the product of the coefficients:
2*5*7=70
Compute the product of the variables. Since they are all the same letter, sum their exponents:
[tex]m^5\cdot m^3\cdot m^2=m^{5+3+2}=m^{10}[/tex]
Combine the results:
[tex]\boxed{2m^5\cdot 5m^3\cdot 7m^2=70\cdot m^{10}}[/tex]
please help! i need a circular flow model for amazon done and i have no idea how to do it! if somebody can make one for me it will be greatly appreciated!!
Answer:
Ill do it
Step-by-step explanation:
It costs my whole life insurance, 24,00 dollars, a brand new private jet, and gummy bears
If two-fifths of a certain number is subtracted from twice the number, the result is 4. PLS ANSWER
Answer:
4
Step-by-step explanation:
2x-2/5=4
2x= 4+(2/5)
2x= 4/5+20/5
x=(22/5)/2
x= 22/10 or 11/5
check:
2(11/5)-2/5=(22/5)-(2/5)
=20/5
=4
Answer:
213 answer
Step-by-step explanation:
I hope it help
please help me solve this!!
5x = 3y + 18
3x + 5y = 4
Answer:
Slope=
2.000
1.200
=0.600
x−intercept=
3
4
=1.33333
y−intercept=
−5
4
=−0.80000
thats the first one
Step-by-step explanation:
Vaness’s team won their softball game and scored sixty-three points total. If Vanessa scored fifteen of the points and everyone else scored six points each, how many players were on her team?