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dangina [55]
3 years ago
15

there were 260 students enrolled in a school last year and 40 teachers employed by the same school. this year the number of stud

ents increased by 10% but the number of teachers decreased by 5%. find the percentage change of student per teacher ratio of the school
Mathematics
1 answer:
tatiyna3 years ago
7 0
The percentage change would be 4%
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Before a bag of flour can be sold, it must be 40 kilograms but can be within 0.5
Serjik [45]

Answer:

The minimum acceptable weight of the flour bag is 39.5 kg,

and its maximum acceptable weight is 40.5 kg

Step-by-step explanation:

Notice that the selling weight of the bag to be sold (x) needs to differ from 40 kg at most 0.5 kg. Therefore, we can write the following inequality:

|x-40|\leq 0.5

The inequality can be solve once we remove the absolute value symbol, and solve for the unknown "x". Recall that in order to solve it, we need to consider the two possible cases:

a) that the expression within the absolute value symbol is larger than or equal to zero, and b) that the expression is less than zero.

a) If x-40\geq 0 then its absolute value is equal to itself (x-40), and when we remove the absolute value symbols, we get:

x-40\leq 0.5\\x\leq 0.5+40\\x\leq 40.5\,\,kg

which means that the weigh "x" of the flour bag should be smaller or equal than 40.5  kg

b) If x-40, then the absolute value of this is its opposite : -x+40, and the inequality becomes:

-x+40\leq 0.5\\40\leq 0.5+x\\40-0.5\leq x\\39.5\leq x

which means that the weight of the flour bag must be larger than or equal to 39.5 kg

So, the minimum acceptable weight of the flour bag is 39.5 kg, and the maximum acceptable weight is 40.5 kg

6 0
3 years ago
Please help due today
Masja [62]

Answer: 80 ft²

Step-by-step explanation:

The area of a trapezoid is one half  the product of the height and the sum of the lengths of the  bases.

(6 + 10) * 0.5 * 10 = 80 (ft²)

3 0
3 years ago
For f(x) = -3x - 5, find f(-11). Explain what f(11) really means for the problem ?? Need this in like the next 4 hours please!!!
Verdich [7]

Answer:

for -11, 28. for 11, -38

Step-by-step explanation:

Typos in your question. can't tell if you need -11 or pos 11

-3(-11)-5 = 33-5= 28

-3(11)-5 = -33-5 = -38

7 0
3 years ago
A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers? (Hint: 1
gayaneshka [121]

Answer:

The answer to your question is 1.875 gallons

Step-by-step explanation:

Data

distance = 50 mi

volume of gas = 1 gal

volume for 150 km = ?

Process

1.- Convert 50 mi into kilometers

                         1 mile ------------------- 1.6 km

                          x        ------------------ 150 km

                          x = (150 x 1)/1.6

                          x = 93.75 mi

2.- Calculate the gallons wasted

                          1 gallon ----------------- 50 mi

                          x            ---------------- 93.75 mi

                          x = (93.75 x 1)/50

                          x = 93.75/50

                         x = 1.875 gallons

4 0
3 years ago
Plsss help mehhh...​
Novosadov [1.4K]

Step-by-step explanation:

(2, m) => (n, 5) => (10, 2)

We have 2n = 2 + 10 and 2(5) = m + 2

Hence n = 6 and m = 8.

3 0
3 years ago
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