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3 years ago

15

Anna has 30 feet of fence to go around her garden.the lettuce will be in a 8 ft × 5 ft section and the carrots will be in a 2 ft

× 7 ft section.will her layout work?if not, how can she change it to work?

1 answer:

Zanzabum3 years ago

4 0

No it wont work, she can get rid of 24 feet of lettuce, then everything will work.

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If no vertical line intersects the graph of a relation in more than one point, then the relation is a function.

ki77a [65]

If I'm understanding this correctly you mean:
If a vertical line does not connect to more than one point in a relation then that relation is a function.
Then your answer is A-True.
That is called the vertical line test. The vertical line cannot touch more than one point at the same time if it is a function. If it does touch then it is not a function.

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3 years ago

In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta

Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let $x,\ x\ge 0$ be the number of students and $y,\ y\ge 0$ be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

$15x+25y\ge 3,750$

2. The auditorium can accommodate up to 180 spectators, hence

$x+y\le 180$

3. We get the system of inequalities:

$\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.$

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise $\$(15\cdot 50+25\cdot 125)=\$3,875$

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3 years ago

At RSM summer camp 100 students had enough food for a 30-days stay. After 2 days 40 new students joined the camp. After that 2 w

omeli [17]

Answer:

"no additional days of food need to be ordered."

Step-by-step explanation:

Suppose initial quantity of food is x units

Assuming each student eats 1 unit of food per day,

x = 30 * 100 = 3000 units of food

In 2 days, food eaten:

100 * 1 * 2 = 200 units

So food left after 2 days is 3000 - 200 = 2800 units

Now, there are 140 students. They stay 2 weeks (14 days) - 2 = 12 more days

So food eaten in 12 days:

140 * 1 * 12 = 1680 units

<u>THus, after total 14 days gone, the amount of food left is:</u>

2800 - 1680 = 1120 units

Half students left, so there are 70 students left for the last 16 days. How much food would they need?

70 * 1 * 16 = 1120 units

And there are exactly 1120 units left. So, no additional days of food need to be ordered.

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3 years ago

Graph 3x + 4y = -10

cricket20 [7]

First, isolate y on one side to find some information about the graph.

3x+4y=-10
4y=-10-3x
y=(-10-3x)/4

Now find out the x and y intercepts of this equation;

(0)=(-10-3x)/4
4x0=-10-3x
0=-10-3x
3x=-10
x=-10/3 or -3.3333 (x-intercept)

y=(-10-3(0))/4
4y=-10
y=-10/4 or -5/2 = -2.5 (y-intercept)

Plot these points onto your graph and connect the lines.

I have attached a graph below, I'm sorry I couldn't do it on paper.

Hope I helped :)

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Answer:

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Step-by-step explanation:

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