Some adults and children went to a movie.

Its a word problem in algebra 1 that i need help on step by step ?

Luden [163]

Answer:

Cost of one rose bush = $2 and cost of 1 geranium = $11

Step-by-step explanation:

lets assume cost of one rose bush = $x

lets assume cost of one geranium = $y

Given that Norachai spent $13 on 1 rose and 1 geranium

⇒ 1 × (cost of one rose bush) + 1× (cost of one geranium) = 13

⇒ 1x + 1y = 13 ----------------------------equation 1

Also given that Castel spent $46 on 1 rose bush and 4 geraniums

⇒1 × (cost of one rose bush) + 4× (cost of one geranium) = 46

⇒ 1x + 4y = 46 ----------------------------equation 2

Now we are having following two equations which will be used to find the value of x and y

1x + 1y = 13 ----------------------------equation 1

1x + 4y = 46 ----------------------------equation 2

lets modify equation 1 to get value of y in terms of x and name that equation as equation 3

1x + 1y = 13 ----------------------------equation 1

⇒ y = 13 - x -----------------------------equation 3

On substituting value of y from equation 3 in equation 2 we get

1x + 4 × ( 13 - x ) = 46

⇒ x + 52-4x =46

⇒ -3x = 46-52

⇒ x = (-6)/(-3) = 2

on substituting calculated value of x that is 2 in equation 3 we get

y = 13 -2 = 11

so on solving the equations we get x = 2 and y = 11.

Hence cost of 1 rose bush = $x = $2 and cost of 1 geranium = $y = $11

8 0

2 years ago

Zn (s) + Cu2+ (aq) → Cu (s) + Zn2+ (aq)

White raven [17]

The answer is A zinc is oxidized and copper gets reduced

8 0

3 years ago

Read 2 more answers

Solve for k: 3k - 8 = 22. possible answers: -10 14/3 15 10

exis [7]

Answer:

???

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

How Many solutions are there for the following system. y = x² - 5x + 3 Y = x - 6

emmasim [6.3K]

Only one solution, x=3

7 0

3 years ago

Which piecewise function is shown in the graph?

mash [69]

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different linear functions. Linear functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b (1)

Where:

x - Independent variable.
y - Dependent variable.
m - Slope
b - Intercept

By direct observation and by applying (1) we have the following piecewise function:

$f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0

1 year ago