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erastova [34]
3 years ago
8

The school cafeteria seats 250 students. 203 students are already seated. Write and sole an inequality that represents the addit

ional number of students that can be seated
Mathematics
1 answer:
Nitella [24]3 years ago
6 0

Answer:

An equation that represents the given situation is 203+x=250 and the additional number of students that can be seated is 47

Step-by-step explanation:

Number of students already seated in school cafeteria = 203

Let x be the additional number of students that can be seated

So, Total number of seats available in school cafeteria = 203+x

We are given that the school cafeteria seats 250 students

So, 203+x=250

\Rightarrow x=250-203

\Rightarrow x=47

Hence an equation that represents the given situation is 203+x=250 and the additional number of students that can be seated is 47

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The cost of 5 scarves is 88.75 <br> what is the unit price?
Kitty [74]

Answer:

17.75

Step-by-step explanation:

Unit price means the price of a single unit so we have to divide 88.75 by 5

88.75 ÷ 5 = 17.75

3 0
2 years ago
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Write a function t(I) that determines the number of
forsale [732]

Using the table, we will see that the function is:

t(l) = 3*l

<h3>How to write the function?</h3>

Here we only have a table to work with, so we need to use that.

In the table, we can see the pairs:

  • t(1) = 3
  • t(2) = 6
  • t(3) = 9
  • t(4) = 12

So, in each new level, we just add 3 more toothpicks. Even more, we can see that the number of toothpicks is 3 times the value of l (the level) for all the cases in the table. So this is a linear function.

From that we can conclude that the function will be:

t(l) = 3*l

If you want to learn more about linear functions, you can read:

brainly.com/question/4025726

6 0
2 years ago
The length of the base of a triangle is twice it’s height. If the area of the triangle is 441 square kilometers, find the height
Sonja [21]

Answer:

21 kilometers

Step-by-step explanation:

Let the height be x. Then, the length of the base is 2x. The formula for the area is of the triangle is given by base*height/2. Therefore, the area of the triangle is equal to \frac{x \cdot 2x}{2} = x^2, which is in turn equal to 441. Since x must be positive, then 21^2=441, meaning that the height is 21 kilometers.

5 0
2 years ago
A collection of 108 coins containing only quarters and nickels is worth $21.
Rudiy27

Answer:

The value could replace q is 108 - n ⇒ the last answer

Step-by-step explanation:

* Lets study the values of quarters and nickles

- One quarter = 25 cents

- One nickle = 5 cents

- The number of coins is 108

- The coins are nickles or quarters only

- The coins worth $ 21

* Lets solve the problem

∵ The number of coins is 108 coins

- Let the quarter is q and the nickel is n

∴ q + n = 108 ⇒ (1)

∵ The coins worth $21

∵ $ 1 = 100 cents

∴ $21 = 21 × 100 = 2100 cents

∵ The quarter = 25 cents

∵ The nickels = 5 cents

∴ 25q + 5n = 2100 ⇒ (2)

- To find the value which replace q use equation (1)

∵ q + n = 108 ⇒ subtract n from both sides

∴ q = 108 - n

* The value could replace q is 108 - n

3 0
3 years ago
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What is the center of the circle described by the equation (x - 2)^2 +(y + 7)^2 =169
Marizza181 [45]

Answer:

The center is (2, -7)

Step-by-step explanation:

A circle is given by

(x-h)^2 + (y-k)^2 = r^2

where(h,k) is the center and r is the radius

(x - 2)^2 +(y + 7)^2 =169

(x - 2)^2 +(y -  -7)^2 =13^2

The center is (2, -7) and the radius is 13

4 0
2 years ago
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