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lana66690 [7]
3 years ago
5

the village was polyglot. if the ratio of bilingual denizens to trilingual denizens was 14 to 3 and the denizens totaled 3400 ho

w many were trilingual
Mathematics
1 answer:
Travka [436]3 years ago
7 0
Bilingual : trilingual = 14 : 3

So, ...
  trilingual : total = 3 : (14+3) = 3 : 17

The number of trilingual denizens was (3/17)*3400 = 600.
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Janine babysits for $14.50 per hour. She also works as a dishwasher at her family's restaurant for $9.50 per hour. Her family ne
FrozenT [24]
The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5
3 0
3 years ago
Alyssa spent $15 at the mall yesterday. She now has $30 left in her purse.
Umnica [9.8K]
She had 45$ before she spent it. 30+15
4 0
3 years ago
Can someone please help it’s very important
densk [106]

Answer:

Step-by-step explanation:

RS is congruent to RV because of SSA or side side angle. RT is congruent to RT is a given. Lines that are perpindicular have right angles which proves angle v=angle s at the same time

5 0
2 years ago
Find the TWO integers whos product is -12 and whose sum is 1<br>​
julsineya [31]

Answer:

\rm Numbers = 4 \ and \ -3.

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}

Hence the numbers are 4 and -3

5 0
3 years ago
The value of savings account can be modeled by the function S(x) = 5, 000 * (1.025) ^ (0.7x) x is the number of years 1980. What
garik1379 [7]

Answer:

The approximate growth rate of the savings account is 2.5%

Step-by-step explanation:

Given the the function S(x) = 5, 000 * (1.025) ^ (0.7x)

From the function, we can see that part:  (1.025). It presents for the growth factor or rate with the formula as:

(1 + r)  where r is rate

So we have:

(1 + r) = 1.025

<=> r = 1.025  -1

<=> r = 0.025

In pecentage, we have the rare: 0.025 *100% = 2.5%

So the approximate growth rate of the savings account is 2.5%

8 0
3 years ago
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