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Serga [27]
2 years ago
15

Many schools have a recommended student : teacher ratio. At Quality Care Preschool, the ratio is 9:1. Next year, Quality Care ex

pects enrollment to increase by 135 students. How many teachers will need to be hired to maintain the student : teacher ratio?
Mathematics
1 answer:
musickatia [10]2 years ago
7 0

Using proportions, it is found that 15 teachers will need to be hired to maintain the student : teacher ratio.

<h3>What is a proportion?</h3>

A proportion is a fraction of total amount, and the measures are related using a rule of three.

In this problem, the ratio means that 1 teacher is needed for 9 students. How many teachers are needed for 135 students?

The <em>rule of three</em> is:

1 teacher - 9 students

x teachers - 135 students

Applying cross multiplication:

9x = 135

x = \frac{135}{9}

x = 15

15 teachers will need to be hired to maintain the student : teacher ratio.

To learn more about proportions, you can take a look at brainly.com/question/24372153

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Question 4 of 10 A construction worker needs to put a rectangular window in the side of a building. He knows from measuring that
vagabundo [1.1K]

Answer:

❝ D. 13 feet ❞

Step-by-step explanation:

Here,

  • Window is in the rectangular shape.
  • Measure of its one diagonal is 13 feet.

According to the properties of rectangle,

→ Diagonals of a rectangle are equal.

So, here the length of other diagonal will be 13 feet too.

7 0
3 years ago
In Class 1, what is the median score? A) 70 B) 70.5 C) 71.5 D) 72
evablogger [386]

Answer:

B)  70.5

Step-by-step explanation:

Median = middle value when the values are placed in order.

If there are two middle values, the median is the mean of those two values.

<u>Class 1</u>

45 46 51 52 53 53 61 63 64 65 66 68 70 <u>70 71</u> 73 76 77 79 81 82 83 84 87 90 92 93 95

There are 28 values in Class 1.

Therefore, there are two middle values: 14th and 15th values

14th value = 70

15th value = 71

\implies \textsf{Median}=\dfrac{70+71}{2}=70.5

3 0
2 years ago
Read 2 more answers
Identify the sequence as arithmetic, geometric, both, or neither. <br><br> 7 9 11 13
Lisa [10]
Arithmetic and the sequence is adding 2
6 0
3 years ago
The lengths of the sides of a triangle are in ratio 5 : 7 : 9. The middle-in-length side is 35 cm. Find the perimeter of the tri
ipn [44]

Answer:

The perimeter of the triangle is 105 cm.

Step-by-step explanation:

The ratio of sides of a triangle is 5:7:9.

The length of middle side is 35 cm.

Let first side of the tringle is x, length of third side is y. middle side is of 35 cm.

So, the ratio of length of sides can be written as,

x:35:y=5:7:9

Compare the ratio to get the value of x and y.

x:35:y=25:35:45\\x=25\\y=45

Now, the sides of the triangle are 25 cm, 35 cm and 45 cm.

Thus, the perimeter of the triangle will be the sum of all sides and can be calculated as,

p=25+35+45\\p=105

Therefore, the perimeter of the triangle is 105 cm.

For more details, refer the link:

brainly.com/question/20955459?referrer=searchResults

3 0
3 years ago
Match each unit rate to the graph that represents it. 1/5. 2/5. 3/7. 1/3. 2/9.
ankoles [38]

Answer:

First graph = 2/9

Second graph = 3/7

Third graph = 1/5

Step-by-step explanation:

Unit rate can be defined as number of y units changed with respect to the number of x units changed.

Consider the first graph, we can see that for x=9, the change that occurs in y is equals to 2 units. So its units can be given as 2/9

Consider the second graph, we can see that for x=7, the change that occurs in y is equals to 3 units. So its units can be given as 3/7

Consider the third graph, we can see that for x=5, the change that occurs in y is equals to 1 units. So its units can be given as 1/5.

7 0
3 years ago
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