Answer:
Never rational, always irrational.
Laura corto un trozo de tela cuadrada para un mantel. Luego se dio cuenta de que ese trozo no alcanzava a cubrir la superficie pues, había un error de medidas. Pará arreglarlo le agrego dos prendas haciendo el el mantel ahora sea rectangular, su largo mide 50 cm mas y su ancho 3o cm más que las medidas del mantel original. Si el nuevo mantel cubre 16800 cm2 ¿cuál es la medida del lado del primer mantel y cuantos cm2 cubría?
Answer:
La medida del lado del primer mantel es 90 centímetros.
Primer mantel cubría un área de 8100 centímetros cuadrados.
Step-by-step explanation:
Sea [tex]x[/tex] la longitud del lado del mantel original, cuya forma es cuadrada y está medida en centímetros. Al agregarse dos prendas, se obtiene un rectángulo, cuya área ([tex]A[/tex]), medida en centímetros cuadrados, se halla mediante la siguiente fórmula:
[tex]A = w\cdot l[/tex] (Eq. 1)
Donde:
[tex]w[/tex] - Ancho, medido en centímetros.
[tex]l[/tex] - Largo, medido en centímetros.
Si [tex]A = 16800\,cm^{2}[/tex], [tex]l = x+50\,cm[/tex] y [tex]w = x+30\,cm[/tex], tenemos el siguiente polinomio de segundo orden:
[tex]16800 = (x+50)\cdot (x+30)[/tex]
[tex]16800 = x^{2}+80\cdot x +1500[/tex]
[tex]x^{2}+80\cdot x -15300 = 0[/tex]
Por la fórmula de la Cuadrática tenemos que las raíces del polinomio son:
[tex]x_{1} = 90\,cm[/tex], [tex]x_{2} = -170\,cm[/tex].
Solamente la primera raíz es una solución físicamente razonable. Entonces, la medida del lado del primer mantel es 90 centímetros.
Ahora, el área del primer mantel es:
[tex]A = (90\,cm)^{2}[/tex]
[tex]A = 8100\,cm^{2}[/tex]
Primer mantel cubría un área de 8100 centímetros cuadrados.
Convert 150 grains to milligrams
Answer:
9179.84
Step-by-step explanation:
150 grams to milligrams is 9179.84
The perimeter of a triangle is 51 cm. The lengths of its sides are x cm, x + 2 cm, and x + 4 cm. What is the length, in cm, of the longest side of the triangle
Answer: x2 + 4cm
Step-by-step explanation:
Company A rents copy machines for $300 a month plus $0.05 per copy. Company B charges $600 a month plus $0.01 per copy. For which number of copies do the two companies charge the same amount?
Answer:
7,500 copies
Step-by-step explanation:
First, write the problems as equations. There will be one variable: copies (c):
Company A: .05c + 300
Company B: .01c + 600
In order to find when the companies charge the same amount, Company A = Company B. Using the transitive property you get:
Company A = Company B
.05c + 300 = .01c + 600
Now, you just need to solve for c:
.05c + 300 = .01c + 600
.05c = .01c + 300
.04c = 300
c = 7,500
In conclusion, the companies will charge the same amount of money when 7,500 copies are made in a month.
27 less than the product of a number and 5
a. 5n - 27
b. n/5 - 27
c. 27 - n/5
d. 27 - n/5
Answer:
5n-27 A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
whats eight plus five -_- 8+5
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
PLEASE HELP ME!! n/5+0.6=2 what does n=?
n/5 + 0.6 = 2
n/5= 2 - 0.6
n/5= 1.4
n= 1.4 x 5
n= 7
An arithmetic sequence starts at 6 and has a rate of change of 7. What are the next 4
terms of the sequence?
6,
Answer:
i need help with that one
Step-by-step explanation:
Answer:
13,20,27,34
Step-by-step explanation:
6+7=13
14+7=20
20+7=27
27+7=34
A book you had your eye on last year had a price of $12. This year, it is
priced at $15. By what percent did the price increase?
Answer:
3 percent
Step-by-step explanation:
sorry if its wrong, hope this helped
determine the y-intercept of line y=2x-4
Answer:
(0,4)
Step-by-step explanation:
The y-intercept is 4
Mike wants to save $1,750 in the next 12 months. He plans to save $150 each month for the first 11 months. Part A What is the total amount of money Mike will save during the first 11 months if he saves $150 each month? Enter your answer in the box. $ Part B Mike plans to save the same amount in the 12th month as in each of the other months. Will Mike be able to save $1,750 in the 12 months? Enter numbers in the boxes to solve the problem. Since $1,750 – $ = , Mike will need to save $ in the 12th month. Since $ is less than $150, he will be able to reach his goal.
Answer:
A. $1,650
Mike will reach his goal if he saved $100 in the 12th month if he has been saving $150 for the first 11 months
Step-by-step explanation:
Mike wants to save $1,750 in the next 12 months.
He plans to save $150 each month for the first 11 months.
A. Total amount of money Mike will save during the first 11 months if he saves $150 each month is
$150 × 11 months
= $1,650
B. If Mike plans to save the same amount in the 12th month ($150) as in each of the other month
= $150 × 12 months
= $1,800
He will be able to save $1,750 if Mike saved the same amount in the 12th month
In the 12th month, Mike only needs to save $100 if he has saved $150 in the first 11 months in order to reach his goal
Pat bought several pens and notebooks at Walgreens. Pens cost 60 cents each and
notebooks cost $2 each. Write an expression for the total amount of money Pat spent
purchasing p pens and n notebooks.
Answer:
n(2) + p(60) = x
Step-by-step explanation:
Answer:
It would be 0.60p + 2n.
Help me this is due at 12:00 :(:(:(
Answer:
3/5, -12 12/15, 51/125
Step-by-step explanation:
just did it
Answer:
3/5; -12 12/25; 51/125
Step-by-step explanation:
Write the first one just like you would say it. You would read 0.6 as six tenths, therefore your answer is 6/10, but don't forget to simplify to 3/5.
Next, you have -12.48. -12 is going to be your whole number. However, you still have 0.48 left so you would write it just how you would say it. You would say it as forty-eight hundredths which is why you would write it as 48/100. Now you just have to simplify it into 12/25. Thus, your final answer would be -12 12/25.
Finally, you have 0.408 which is read as four hundred eight thousandths. Your fraction would then be 408/1000. Now simplify to 51/125.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second. y=-16x^2+263x+92
Answer:
8.39 seconds
Step-by-step explanation:
Given the equation which models the height of a rocket:
y=-16x^2+263x+92
Time taken to reach maximum height ; = total total time of flight / 2
Total time of flight is obtained at h = 0
Hence +,
y=-16x^2+263x+92 ; y = 0
-16x^2+263x+92 = 0
Using the Quadratic equation solver :
X = 16.78 or x = -0.3466
Time can't be negative
Hence, total time of flight= 16.78
Therefore, time taken to reach maximum height :
Total time of flight / 2
= 16.78 / 2
= 8.39 seconds
A tower has a revolving restaurant 840 feet above the ground. The restaurant makes a complete revolution every 60 minutes. While a visitor was at the tower, the restaurant rotated through 126°. How long was the visitor at the tower? The visitor was at the tower for minutes.
Answer: 21 minutes
Step-by-step explanation: A complete revolution has 360°. The tower rotates completely after 60 minutes, which means:
360° - 60 min
The restaurant rotated 126° while the visitor was at the tower, so using proportionality rule:
360° - 60 min
126° - t min
[tex]t=\frac{126*60}{360}[/tex]
[tex]t=\frac{126}{6}[/tex]
t = 21
The visitor was at the tower for 21 minutes.
3 more than eight times a number is equal to 19
a. 8n = 19 + 3
b. 8n - 3 = 19
c. 8n + 3 = 19
d. n/8 + 3 = 19
Answer: C. 8n+3=19
8 times a number: 8n
3 more: +3
equals 19:=19
Step-by-step explanation:
which step is wrong pls help 20 points
Answer:
I believe its A) They should have added 6 to both sides
Step-by-step explanation:
Chuck has $2,345 he is buying gift cards for some of his friends and each gift card costs $85 whats the greatesy amount of gift cards can he buy and how much money will he have left?
Answer:
$50Step-by-step explanation:
Chuck has $2,345 in total
if one gift card cost $85
we want to find the total number of cards that $2,345 can buy.
so we have to divide $2,345 by $85
= $2,345/85
=27card in total
27*85=$2295
the amount left is
= $2,345 -$2295
=$50
therefore the amount left is $50
A triangular window has area
24 square feet and height six feet.
What is its base? Show work.
Answer:
The base is 8 square feet
Step-by-step explanation:
Answer:
8 square feet
Step-by-step explanation:
Area of Triangle= 1/2bh
24 = 1/2 x b x 6
24= 3 x b
(divide 3 on both sides)
b= 8
Help fast I dont understand
Help!!!!!!!!!!!!!!!!
Answer:
y= 3
Step-by-step explanation:
-4 = -7 + y
+7 +7
-----------------
3=y
help me please thank you
Answer:
< (less than)
Step-by-step explanation:
15 squared is 225, 220 is less than 225.
What is the decimal form of 1/3
Answer:
0.33333333
Step-by-step explanation:
but if the same number appears more than three times in a row it's just the first number so the correct on would be 0.3;)
-3x + 6 = 21 solve for x and show work.
I need help solving this problem:
1/3(3x - 12) = 1/6x + 1/4 - 9
my teacher said the answer is -5.7 but idk how she got that
Answer:
I got that answer also, but i just did the math in my head.
Step-by-step explanation:
what is the answer to 3/7 x 9 =
Answer:
3.85714285714
Step-by-step explanation:
PLS HELP ME I WILL GIVE BRAINLYEST
Answer:
4 cups of flour and 6 batches
Step-by-step explanation:
if you look at the cups of flour you can tell that they're counting by 4 to. while the batches of cookies are counting by 6 take a look for yourself and you'll see it
Naomi rented a car during her vacation in Miami. The cost to rent the car is $45 and an additional ten
cents for each mile driven. Complete the function that represents the total cost of Naomi's car rental, in
dollars, where the total cost is c and the number of miles is m.
Answer:
C = .10m+45
Step-by-step explanation:
hope this helps <3
f(x)=3x-9 and g(x)=-5x+8, find (f-g)(x)
Answer:
Step-by-step explanation:
3x - 9 - (-5x + 8)
3x - 9 + 5x - 8
8x - 17
For the following function f(x) =3x-6
a.) what is its Y intercept?
b.)
what is its X intercept?
c.) what is the slope?
d.) graph the function using a table of values.
Answer:
c]graph the function using a table of values
Step-by-step explanation:
Step-by-step explanation:
use the division method