Please help! 2x + 3y = 12, x + y = 5

Aiden is grocery shopping and wants to know which packages are cheapest. He is

arlik [135]

Answer:Bottle B

Step-by-step explanation:

Given

Bottle A has 175 fluid ounce and cost $\$19.25$

So it cost $\frac{175}{19.25}=9.09\ \text{ounce per}\ \$$

Bottle B has 138 fluid ounce and cost $\$8.97$

So it cost $\frac{138}{8.97}=15.38\ \text{ounce per}\ \$$

Bottle C has 100 fluid ounce and cost $\$8.0$

So it cost $\frac{100}{8}=12.5\ \text{ounce per}\ \$$

Bottle D has 72 fluid ounce and cost $\$7.56$

So it cost $\frac{72}{7.56}=9.52\ \text{ounce per}\ \$$

So, Bottle B delivers more ounces at same price

7 0

3 years ago

You have learned several methods for solving a system of equations. First, rank the methods in order of preference, noting which

kifflom [539]

Methods for solving a system of equations:
- elimination
- substitution
- augmented matrix

Ranks of method ( number one being the most preferred method)
1) elimination
2) substitution
3) augmented matrix

Elimination is my preferred method because it is simple and easy to work out and hard to get wrong.

Augmented matrix is my least preferred method because it is easy to get wrong and it requires complex steps to solve a simple equation.

Hope this helps ;)

6 0

2 years ago

Using the numbers 5 8 and 24 create a problem using no more than four operations addition subtraction multiplication division sq

lubasha [3.4K]

Answer:

$(\frac{24}{8})^{2}$ gives rational solution and $\sqrt{5}$ gives an irrational solution.

Step-by-step explanation:

We are given the numbers 5 , 8 , 24.

Using these numbers and maximum four operations given, we need to find the problem having a rational and irrational solution.

Now, applying two operations namely division and squaring, we define the following problem having a rational solution.

i.e. $(\frac{24}{8})^{2}$ = $(\frac{12}{4})^{2}$ = $3^{2}$ = 9, being an integer, it is a rational number.

Further, applying only one operation namely square root, we define the problem having an irrational solution.

i.e. $\sqrt{5}$ , which is an irrational number.

Hence, the problems $(\frac{24}{8})^{2}$ gives a rational solution and $\sqrt{5}$ gives an irrational solution.

4 0

3 years ago

Some fireworks are fired vertically into the air from the ground at an initial velocity of 24.5 meters per second. Find the high

krek1111 [17]

Answer:

The highest point reached by the firework is approximately 30.6 meters

Step-by-step explanation:

The upward velocity of the fireworks is given as 24.5 m/s

The equation of projectile motion for an object fired vertically upwards can be written as follows;

v² = u² - 2·g·s

Where;

v = The final velocity of the motion = 0 m/s at maximum height

u = The final velocity of the motion = 24.5 m/s

g = Acceleration due to gravity = 9.81 m/s²

s = The height reached = (The highest point reached by the firework)

By substituting the values, we have;

(0 m/s)² = (24.5 m/s)² - 2 × 9.81 m/s² × s

Which gives;

2 × 9.81 m/s² × s = (24.5 m/s)² = 600.25 m²/s²

19.62 m/s² × s = 600.25 m²/s²

s = 600.25 m²/s²/(19.62 m/s²) = 30.594 m ≈ 30.6 meters

The highest point reached by the firework is approximately 30.6 meters

3 0

3 years ago

Find the slope of the curve y=2/x at x=a.

Degger [83]

Answer:

We are given:- y=2/x
We need to find the slope of the curve at x=a.

Step-by-step explanation:

Solution,

We use the slope formula, setting x=a :

$\displaystyle{{{{ \lim_{h \to0}}}} \frac{ \frac{2}{x + h} - \frac{2}{x} }{h} = \lim_{h \to0} \frac{ \frac{2}{a + h} - \frac{2}{a} }{h} }$

$\displaystyle{ \lim_{h \to0} \frac{ \frac{2a - 2(a + h)}{a(a + h)} }{h} = \displaystyle{ \lim_{h \to0} \frac{2a - 2(a + h)}{ha(a + h)} }}$

$\displaystyle{ \lim_{h \to0} \frac{2a - 2a - 2h}{ha(a + h)} = \displaystyle{ \lim_{h \to0} \frac{ - 2h}{ha(a + h)} }}$

$\displaystyle{ \lim_{h \to0} \frac{ - 2}{a(a + h)} = - \frac{ 2}{ {a}^{2} } }$

Therefore, The slope of the curve y=2/x at x=a is -2/a^2.

6 0

2 years ago