Answer:
20:60 12:36 2:6
Step-by-step explanation:
The second number is going to be 3 times as big as the first ine
Pete starts with 4 quarts of 20% juice, which contains
0.20 • (4 quarts) = 0.8 quarts
of juice.
If he mixes this with <em>x</em> quarts of 60% juice, which contains
0.60 • (<em>x</em> quarts) = 0.6<em>x</em> quarts
of juice, then he would end up with a mixture with a volume of (<em>x</em> + 4) quarts that contains (0.8 + 0.6<em>x</em>) quarts of juice. The mix has to have a concentration of 50% juice, which means
(0.8 + 0.6<em>x</em>) / (<em>x</em> + 4) = 0.50
Solve for <em>x</em> :
0.8 + 0.6<em>x</em> = 0.50 (<em>x</em> + 4)
0.8 + 0.6<em>x</em> = 0.5<em>x</em> + 2
0.1<em>x</em> = 1.2
<em>x</em> = 12
So Pete needs 12 quarts of the 60% juice.
Veremos que el area del banderín es 930cm^2, entonces la opción correcta es A.
<h3>
¿Que area tiene el banderin?</h3>
Luego de una pequeña busqueda online, pude ver que el banderin es un triangulo isósceles con base de 31cm y altura de 60 cm.
Recordar que para un triangulo de base b y altura h, el area es:
A = b*h/2
Entonces el area del banderín va a ser:
A = (31cm)*(60cm)/2 = 930cm^2
Entonces la opción correcta es A.
Sí quieres aprender más sobre triangulos, puedes leer:
brainly.com/question/2217700
Answer:
The installations at the Maumee branch would you expect to take more than 30 minutes is 10.
Step-by-step explanation:
Consider the provided information.
Let x is the installations at the Maumee branch take more than 30 minutes.
The work standards department at corporate headquarters recently conducted a study and found that 20% of the mufflers were not installed in 30 minutes or less.
Therefore, π=0.20
The Maumee branch installed 50 mufflers last month.
Thus, n=50
Mean of the distribution: μ=nπ
Substitute the respective values in the above formula.
μ=(50)(0.20)
μ=10
Hence, the installations at the Maumee branch would you expect to take more than 30 minutes is 10.
Answer:
The standard form of quadratic equation is 
The factored form of is 
Step-by-step explanation:
Given equation 
We have to write in standard form and then factorize the given equation.
The standard form for a general quadratic equation is given as 
Consider
Taking all terms to left side, we have,
Adding like terms, we have,
Now we will factorize it.
We will solve the quadratic equation using middle term splitting method,
-16x can be written as -18x+2x
becomes
Taking x common from first two terms and 2 common from last two terms we have,
Thus, the factored form of is
