All categories

3 years ago

Brooklyn needs to order some new supplies for the restaurant where she works. The

Mathematics

1 answer:

Andrews [41]3 years ago

6 0

Answer:

Inequality to determine number of glass sets: 10x + 230 ≥ 498

Solved inequality: x ≥ 26.8 (She needs to buy at least 27 sets)

Step-by-step explanation:

In order to write an inequality to represent this situation, you must first identify the important information:

- The restaurant needs 498 glasses total at the least

- They already have 230 glasses

- Each set of glasses has 10 glasses

Now, you can write an inequality to represent this situation:

498 (needed glasses) ≤ 230 (glasses already owned) + 10x (number of glasses in one set (x))

You can rewrite it as 10x + 230 ≥ 498 so that x is on the left and it is ordered by variable exponential value. Now you have the inequality to represent the situation, so to find the number of sets of glasses Brooklyn could buy, you need to isolate x:

10x + 230 ≥ 498 (given)

10x ≥ 268 (subtract 230 from both sides)

x ≥ 26.8 (divide both sides by 10)

So, Brooklyn needs to buy at least 27 sets since she can't buy 4/5 of a set.

You might be interested in

Add the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of x.

CaHeK987 [17]

Answer:

$-x^5+3x^4+16x^3+7x^2-3x+6$

Step-by-step explanation:

Given polynomials are:

$x^5-4x^4+7x^3+8$ , $9x^3+7x^2-10$ and $-2x^5+7x^4-3x+8$

Now we need to add the given polynomials, then place the answer in the proper location on the grid. Also we need to write answer in descending powers of x.

So let's add them by combining like terms:

$x^5-4x^4+7x^3+8+9x^3+7x^2-10-2x^5+7x^4-3x+8$

$-x^5+3x^4+16x^3+7x^2-3x+6$

Hence final answer in descending order is $-x^5+3x^4+16x^3+7x^2-3x+6$

6 0

3 years ago

40 points

siniylev [52]

Answer:

The answer is high inflation

Step-by-step explanation:

7 0

4 years ago

Triangle ABC is a scale copy of triangle DEF. Side AB measures 12 CM and is the longest side of ABC. Side de measures 8 cm and i

Bezzdna [24]

Answer:

Answer: scale factor = 1.5 Step-by-step explanation: Given: Triangle ABC is a scaled copy of triangle DEF. Side AB = 12 cm and is the longest side of ABC. Side DE = 8 cm and is the longest side of DEF. AB is corresponds DE (longest side of both triangles) So, Hence, the scale factor = 1.5.

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/3943753-triangle-abc-is-a-scaled-copy-of-triangle-def-side-ab-measures.html

Step-by-step explanation:

<h2>HOPE THIS ANSWER WILL HELP YOU</h2>

4 0

3 years ago

Read 2 more answers

The volume of the cylinder above is 2,314.25, and the radius of the base is 8.9 Find the volume of the cone.

olga55 [171]

Answer: $771.41\ units^3$

Step-by-step explanation:

The missing figure is attached.

The volume of an oblique cylinders and the volume of a right cylinder can be found with this formula:

$V_{cy}=\pi r^2h$

Where "r" is the radius and "h" is the height.

The volume of an oblique cone and the volume of a right cone can be found with this formula:

$V_{co}=\frac{1}{3}\pi r^2h$

Where "r" is the radius and "h" is the height.

According to the information given in the exercise, you know that the volume of the cylinder and also the radius of the cylinder and the cone ,are the following:

$V_{cy}=2,314.25\ units^3\\\\r=8.9\ units$