Ask question

Ask question

All categories

2 years ago

12

One month Ivanna rented 7 movies and 9 video games for a total of $80. The next month she rented 5 movies and 3 video games for

a total of $34. Find the rental cost for each movie and each video game.

1 answer:

ZanzabumX [31]2 years ago

5 0

Answer:

each movie costs $2.75, each video game costs $6.75

Step-by-step explanation:

x = movies, y = video games

7x + 9y = 80

5x + 3y = 34

simplified to

x = 11/4 , y = 27/4

You might be interested in

En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec

elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁ (1)

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):

$l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm$ (2)

$a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm$ (3)

El perímetro del rectángulo interno es:

$P_{2} = 2l_{2} + 2a_{2}$ (4)

Introduciendo la ecuación (2) y (3) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm$

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

$l_{2} = 2a_{2}$ (5)

Introduciendo (5) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}$

$a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm$

$l_{2} = 2a_{2} = 2*12 cm = 24 cm$

Entonces el área es:

$A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}$

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².

Espero que te sea de utilidad!

7 0

2 years ago

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many mor

kow [346]

Answer:

$\frac{19}{12}\ pounds$

or

$1\frac{7}{12}\ pounds$

Step-by-step explanation:

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$

Convert mixed number to an improper fractions

$1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}$

$3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}$

Substitute in the expression above

$x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}$

solve for x

Multiply by (4*6) both sides to remove the fractions

$24x+30+16=84$

Combine like terms left side

$24x+46=84$

subtract 46 both sides

$24x=84-46$

$24x=38$

Divide by 24 both sides

$x=\frac{38}{24}\ pounds$

simplify

$x=\frac{19}{12}\ pounds$

Convert to mixed number

$\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds$

3 0

3 years ago

Please help me with math, it’s easy!! explanation needed!

Olenka [21]

Answer:

0

Step-by-step explanation:

This equation is in "vertex form," meaning that you can identify the vertex and other features of the graph from the equation.

y = a(x -h)² +k . . . . . the vertex is (h, k); the vertical scale factor is "a"

Comparing to your equation, you see ...

a = -1/2, h = 3, k = -1

The vertex is (h, k) = (3, -1). The vertical scale factor is negative.

__

This tells you the graph opens downward (the scale factor is negative), and the vertex (maximum point) is below the x-axis. (It has a negative y-coordinate.)

Because it start below the x-axis and goes down from there, the graph does not intersect the x-axis. There are zero (0) x-intercepts.

3 0

2 years ago

Select the choice that translates the following verbal phrase correctly to algebra: the product of k and m

UkoKoshka [18]

You are right. It is the first one :)

7 0

3 years ago

Read 2 more answers

Find the y-intercept of the line<br>y + 8x = 5

blagie [28]

Answer:

y= 5-8x

Step-by-step explanation:

See image below:)

6 0

2 years ago