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3 years ago

Find the quotient. −2 1/2 ÷ 3/4

Mathematics

2 answers:

Marrrta [24]3 years ago

4 0

Anwser ???

Step-by-step explanation:

Tpy6a [65]3 years ago

3 0

There isn’t one..........

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Let i be the first of four consecutive integers. what is 3 less than the sum of those integers ?

Dmitrij [34]

The consecutive integers are i, i+1, i+2, i+3.

3 less than sum of the integers

= i + i +1 + i + 2 + i + 3 - 3 = 4i + 3

5 0

3 years ago

There are 45 male teachers and 75 female teachersin a school. Find the percentage of male teachers, female teachers in the schoo

Zielflug [23.3K]

Answer:

37.5% are male

62.5% are female

Step-by-step explanation:

in total 120 teachers (45 male+75 female)

therefore:

for male

120 - 100%

45 - x% (we need to find x)

by using the butterfly method (or cross multiply) we get:

120x=100*45

x=4500/120=37.5% (male teachers)

we do the same for female but instead of using 45 we will use 75(the quantity of female theachers in school)

120x=100*75

x=7500/120=62.5%

5 0

3 years ago

PLZZZZZZ HEEEEEEEEELLLLLPPPPP (will mark brainliest for correct answers)

alexdok [17]

Answer:

y=4

Step-by-step explanation:

3(9) +4y= 43

27+4y=43

4y=16

y=4

6 0

3 years ago

Nadia will be x years old y years from now. How old was she z years ago?

Vsevolod [243]

A years old. Na but are you needing an equation ?

8 0

3 years ago

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

4 0

2 years ago