All categories

3 years ago

ERMS is selling tickets to a musical performance. On the first day of ticket sales the school sold 8 adult

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

The adult tickets cost $3
so x = 3
and the children’s tickets cost $2
so y = 2

You might be interested in

A first alloy contains x pounds of 55% silver. It is mixed with a second alloy containing 30% silver to make 60 pounds of an all

Ann [662]

Answer:

"24 pounds" is the appropriate answer.

Step-by-step explanation:

According to the question, the equation will be:

⇒ $x+y=60$ ...(equation 1)

or,

⇒ $\frac{55}{100}x+\frac{30}{100}y=\frac{40}{100}\times 60$

$55x+30y=2400$ ...(equation 2)

Now,

By multiplying (equation 1) by 55 and (equation 2) by 1, we get

⇒ $55x+55y=3300$ ...(equation 3)

⇒ $55x+30y=2400$ ...(equation 4)

From equation 3 and 4, we get

⇒ $25y=900$

$y=\frac{900}{25}$

$=36$

By putting the values of "y" in equation 1, we get

⇒ $x=60-36$

$=24$

Thus the value of x be "24 pounds".

3 0

3 years ago

Luis trabaja en Canadá por cada 15 dólares que gana envía 8 a su

Sav [38]

Usando proporciones, hay que Luis enviará 160 dólares a su familia.

<h3>¿Qué es una proporción?</h3>

Una proporción es una fracción de la cantidad total, y puede ser encontrada por intermedio de una regla de tres.

En este problema, la regla de tres es dada por:

15 dólares - 8 envíados

300 dólares - n envíados

Aplicando multiplicación cruzada:

15n = 300 x 8

n = (300 x 8)/15

n = 160

Luis enviará 160 dólares a su familia.

Puede-se aprender mas a cerca de proporciones es brainly.com/question/26425852

7 0

2 years ago

Twin brothers, Billy and Bobby, can mow their grandparent’s lawn together in 63 minutes. Billy could mow the lawn by himself in

Pepsi [2]

Answer:

<h2>140 minutes</h2>

Step-by-step explanation:

this problem focuses on the combined work rate

both can finish the work under 63 minute

let bobby mow the lawn in x minute

Billy will then mow the lawn in x-25 minutes

Let the completed job = 1 (a mowed lawn)

we can now apply the combined work formula for the two boys as

$\frac{63}{x}+\frac{63}{x-25}=1$

multiplying through by x(x-25 )we have

$63(x-25)+63x= x(x-25)$

open bracket we have

$63x-1575+63x= x^2-25x$

rearranging and collecting like terms we have

$0=x^2-25x-63x-63x+1575 \\\\0=x^2-151x+1575 \\\\x^2-151x+1575=0$

we can now use the quadractic formula

$x=\frac{-b\frac{+}{} \sqrt{b^2-4ac} }{2a}$

a= 1

b= -151

c= 1575

$x=\frac{-(-151)\frac{+}{} \sqrt{151^2-4*1*1575} }{2*1}$

$x=\frac{-(-151)\frac{+}{} \sqrt{22801-6300} }{2} \\\\x=\frac{-(-151)\frac{+}{} \sqrt{16501} }{2} \\\\x=\frac{-(-151)\frac{+}{} 128.45}{2} \\\\$

$x=\frac{-(-151)+128.45}{2} \\\\\x=\frac{279.45}{2} \\\\x=139.72 \\\\\\x=\frac{-(-151)-128.45}{2}\\\\x=\frac{151-128.45}{2}\\\\x=\frac{22.55}{2}\\\\x=11.27$

the first answer x= 139.72 approximately 140 minutes mins is correct for Bobby's time

let us check

$\frac{63}{140}+\frac{63}{140-25}=1\\\\\\0.45+\frac{63}{115} =1\\\\0.45+0.5478=1\\0.997 =1$

we can see that the solution approximates to 1

8 0

4 years ago

6x - 2 = 7x + 1 what is x<br>

RUDIKE [14]

The answer for your question is -3

5 0

3 years ago

Read 2 more answers

66 is 8-% of what number?<br> 4

SpyIntel [72]

The number is 825
66*100/8=825

3 0

3 years ago