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2 years ago

Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3

2 answers:

6 0

$4 per sandwich
$27 - $3 for the kids meal leaves $24
$24 divided by the number of sandwiches ( 24/6) leaves how much is spent per sandwich
24/6= $4.

Lina20 [59]2 years ago

5 0

He can spend 4 dollars on each sandwich cause 27-3(the kids meal) =24 24 divided by 6=4. 4 being the amount per sandwich!

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Line 1: 2x-3y>12

nata0808 [166]

Answer:

The graph of this line i.e. $2x-3y>12$ should be BELOW the DOTTED line as $y$ involves < symbol.
The graph of this line i.e. $y>-2x+5$ should be ABOVE the DOTTED line as it involves > symbol.
The correct graph for line 1 and line 2 is shown in attached figure.

Step-by-step explanation:

If the inequality involves < or >, then the graph of the equation involves a dotted line.
If the inequality involves ≤ or ≥, then the graph of the equation involves a solid line.

Considering the line 1

$2x-3y>12$

Solving line 1

$2x-3y>12$

$-3y>12-2x$

$3y$

$y$

As $y$ involves < symbol, so the graph of this line should be BELOW the DOTTED line.

But, as you can see that there is an error in the graph. As the graph of $y$ is being shown ABOVE the SOLID line.

Therefore, the graph of this line i.e. $y$ should be BELOW the DOTTED line as it involves < symbol.

Considering the line 2

$y>-2x+5$

As $y>-2x+5$ involves > symbol, so the graph of this line should be ABOVE the DOTTED line.

But, as you can see that there is an error in the graph. As the graph of $y>-2x+5$ is being shown ABOVE the SOLID line.

Therefore, the graph of this line i.e. $y>-2x+5$ should be ABOVE the DOTTED line as it involves > symbol.

The correct graph for line 1 i.e. $2x-3y>12$ and line 2 i.e. $y>-2x+5$ is shown in attached figure.

From the attached graph, it is shown that only (5, -2) satisfies the both inequalities. So, (5, -2) is the correct solution for the given inequalities.

Solution Verification:

Putting (5, -2) in line 1 and line 2

For line 1:

2x - 3y > 12 ⇒ 2(5) - 3(-2) > 12 ⇒ 10 + 6 > 12 ⇒ 16 > 12 which is true.

For line 2:

y > -2x + 5 ⇒ -2 > -2(5) + 5 ⇒ -2 > -10 + 5 ⇒ -2 > -5 which is true.

So, (5, -2) is IN the solution for line 1 and line 2

Putting (-1, -1) in line 1 and line 2

For line 1:

2x - 3y > 12 ⇒ 2(-1) - 3(-1) > 12 ⇒ -2 + 3 > 12 ⇒ 1 > 12 which is false.

For line 2:

y > -2x + 5 ⇒ -1 > -2(-1) + 5 ⇒ -1 > 2 + 5 ⇒ -1 > 7 which is false.

So, (-1, -1) is NOT in the solution for line 1 and line 2

Putting (0, 5) in line 1 and line 2

For line 1:

2x - 3y > 12 ⇒ 2(0) - 3(5) > 12 ⇒ 0 - 15 > 12 ⇒ -15 > 12 which is false.

For line 2:

y > -2x + 5 ⇒ 5 > -2(0) + 5 ⇒ 5 > 0 + 5 ⇒ 5 > 5 which is false.

So, (0, 5) is NOT in the solution for line 1 and line 2

Keywords: inequality, solution, graph, dotted line, solid line

Learn more about inequality solution from brainly.com/question/12036085

#learnwithBrainly

4 0

4 years ago

H=3+14t-5t^2 What is its maximum height

timurjin [86]

Answer:

12.8

Step-by-step explanation:

Given a parabola in standard form , ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

h = 3 + 14t - 5t² ← is in standard form

with a = - 5 and b = 14, thus

$x_{vertex}$ = - $\frac{14}{-10}$ = 1.4

Substitute t = 1.4 into h for maximum height

h = 3 + 14(1.4) - 5(1.4)²

= 3 + 19.6 - 9.8 = 12.8

5 0

4 years ago

If the radius of the circle is decreased by a factor of One-third, what happens to the circumference?

allochka39001 [22]

Answer:

the circumference decreases by a factor 1/3.

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Help me pls due in 5 mins

Drupady [299]

Answer: $215\ cm^2$

Step-by-step explanation:

Given

Here the given figure can be divided into two shapes i.e. rectangle and a trapezium

For rectangle ABCD Area = $10\times8=80\ cm^2$

Area of trapezium CEFD Area is $\frac{1}{2}[\text{sum of non-parallel sides}]\times[\text{distance between them}]$

$\Rightarrow \frac{1}{2}\times [10+17][10]=135\ cm^2$

Total shaded area $=80+135=215\ cm^2$

5 0

3 years ago

How to work out the equation

sveta [45]

first, distribute -6 to (2b + 1), giving you -12b - 6, and then on the another side of the equation, distribute -2 to (5 + 4b) giving you, -10 - 8b. now we need to put our coefficients on one side so we will add 8b to each side of the equation, giving us -6 = -10 - 8b + 12b, then we will add 10 to both sides of the equation giving us, 10 -6 = -8b +12b, this gives u 4 = 4b. then, you would solve for b, which equals 1.

8 0

4 years ago