Ask question

Ask question

All categories

2 years ago

9

21 22 01:39:07 The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54

when n is 9, what is the
cost of the sandwiches when n is 3?
$18
$21
$27
$48
Mark this and return
Next
Submit

1 answer:

gayaneshka [121]2 years ago

5 0

Answer:

$18

Step-by-step explanation:

The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. c = $54 when n is 9

This means that to buy 9 sandwiches, it costs $54. So one sandwich costs 54/9 = $6.

What is the cost of the sandwiches when n is 3?

To buy three sandwiches, it costs $6*3 = $18.

So the correct answer is:

$18

You might be interested in

QUICK! 75 POINTS !!Select all that are part of the solution set of csc(x) > 1 and over 0 ≤ x ≤ 2π.

Vladimir79 [104]

Answer:

$\frac{\pi}{4}$

$\frac{5\pi}{6}$

Step-by-step explanation:

The answer uses the unit circle and that sine and cosecant are reciprocals.

The first choice doesn't even fit the criteria that $x$ is between $0$ and $2\pi$ (inclusive of both endpoints) because of the $x=\frac{-7\pi}{6}$ .

Let's check the second choice.

$\csc(\frac{\pi}{4})=\frac{2}{\sqrt{2}} \text{ since } \sin(\frac{\pi}{4})=\frac{\sqrt{2}}{2}$ .

$\csc(\frac{\pi}{4})>1 \text{ since } \frac{2}{\sqrt{2}}>1$

$\csc(\frac{\pi}{2})=1 \text{ since } \sin(\frac{\pi}{2})=1$ which means $\csc(\frac{\pi}{2})=1$ which is not greater than 1.

So we can eliminate second choice.

Let's look at the third.

$\csc(\frac{5\pi}{6})=2 \text{ since } \sin(\frac{5\pi}{6})=\frac{1}{2}$ which means $\csc(\frac{5\pi}{6})>1$ .

$\csc(\pi)$ isn't defined because $\sin(\pi)=0$ .

So we are eliminating 3rd choice now.

Let's look at the fourth choice.

$\csc(\frac{7\pi}{6})=-2 \text{ since } \sin(\frac{7\pi}{6})=\frac{-1}{2}$ which means $\csc(\frac{7\pi}{6})$ and not greater than 1.

I was looking at the rows as if they were choices.

Let me break up my choices.

So we said $x=-\frac{7\pi}{6}$ doesn't work because it is not included in the inequality $0\le x \le 2\pi$ .

How about $x=0$ ? This leads to $\csc(0)$ which doesn't exist because $\sin(0)=0$ .

So neither of the first two choices on the first row.

Let's look at the second row again.

We said $\frac{\pi}{4}$ worked but not $\frac{\pi}{2}$

Let's look at the choices on the third row.

We said $\frac{5\pi}{6}$ worked but not $x=\pi$

Let's look at at the last choice.

We said it gave something less than 1 so this choice doesn't work.

6 0

2 years ago

Read 2 more answers

Kim only has $24 to buy pens and notebooks. Each pen costs $2. Each

aksik [14]

Answer:

There are probably more than this but here

$12 for pens would give you 6

$12 for notepads would give you 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$18 for notepads would give you 6

$6 for pens would give you 3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$21 for for notepads would give you 7

$2 or pens would give you 1

and $1 left

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$6 for notepads would give you 2

$18 for pens would give you 9

7 0

2 years ago

Read 2 more answers

Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]

Vadim26 [7]

Answer:

B) 28.53 unit²

Step-by-step explanation:

The diagonal AD divides the quadrilateral in two triangles:

Triangle ABD
Triangle ACD

Area of Quadrilateral will be equal to the sum of Areas of both triangles.

i.e.

Area of ABCD = Area of ABD + Area of ACD

Area of Triangle ABD:

Area of a triangle is given as:

$Area = \frac{1}{2} \times base \times height$

Base = AB = 2.89

Height = AD = 8.6

Using these values, we get:

$Area = \frac{1}{2} \times 2.89 \times 8.6 = 12.43$

Thus, Area of Triangle ABD is 12.43 square units

Area of Triangle ACD:

Base = AC = 4.3

Height = CD = 7.58

Using the values in formula of area, we get:

$Area = \frac{1}{2} \times 4.3 \times 7.58 = 16.30$

Thus, Area of Triangle ACD is 16.30 square units

Area of Quadrilateral ABCD:

The Area of the quadrilateral will be = 12.43 + 16.30 = 28.73 units²

None of the option gives the exact answer, however, option B gives the closest most answer. So I'll go with option B) 28.53 unit²

7 0

2 years ago

The table shows the gallons of water in a pool over time.

Luda [366]

Answer:

- 6 gallons per minute.

Step-by-step explanation:

Let the function that models the quantities of water, Q (in gallons) in a pool over time, t (in minutes), is

Q = a + bt ........... (1)

Now, Q(t = 0) is given to be 50 gallons.

So, a = 50 and b denotes the rate at which the quantity of water in the pool is decreasing and it is given by the slope of equation (1).

Now, two points on the graph are (0,50) and (1,44).

So, the slope = b = $\frac{50 - 44}{0 - 1}$ = - 6 gallons per minute.

Therefore, the equation of this situation is given by Q = 50 - 6t, where the slope is equal to - 6 gallons per minute. (Answer)

4 0

2 years ago

Read 2 more answers

Which of the following are true statements about David Hilbert?

Lunna [17]

Answer:

he invented the point

he was a German mathematician

he Hilbert's improvements to geometry are still used in textbooks today

he developed Hilbert's axioms

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers