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satela [25.4K]
3 years ago
12

Please help i'm timed!!!!

Mathematics
1 answer:
MrRissso [65]3 years ago
4 0

Answer:

The second one

Step-by-step explanation:

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Jill wants to make 15 no of a 40% acid solution by mixing together a 30% acid solution and a 60% acid solution. How much of each
german
X+y=15
0.3x+0.6y=0.4*15=6
solve the system of equation.
Multiply equation one by 0.3: 0.3x+0.3y=4.5
subtract the new from the second equation: 0.3y=1.5
y=5
x=10 
7 0
3 years ago
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What is the value of the fourth term in a geometric sequence for which a1= 30 and r = 1/2
Viktor [21]

Answer:

a_{4} = 3.75

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 30 and r = \frac{1}{2}, thus

a_{4} = 30(\frac{1}{2}) ^{3} = 30 × \frac{1}{8} = \frac{30}{8} = \frac{15}{4} = 3.75

4 0
3 years ago
The population of a small town in 1990 was 1,200 people, and the population in 2000 was 2,700 people. Let x represent the number
zheka24 [161]
Well... looking at how to question is defining things.....i think this is a multiple choice question.....

Given:
"y" represents the population
"x" represents the number of years
duration = 2000 - 1990 = 10 years
population increase = 2700 - 1200 = 1500
Now,
<u></u><u>It says linear equation........</u><u>, So, we have to assume that every ten years the population increases by a fixed </u><u>amount that is 1500 people every 10 years.</u><u />

Now, 
Every 10 years, the population increases by 1500
Every 1 year , the population increases by 1500 / 10 
                                                               = 150

Now,
The equation in determining the population is:

y = 150x + 1200


<u />
4 0
4 years ago
If f(x)=ax+b/x and f(1)=1 and f(2)=5, what is the value of A and B?
LUCKY_DIMON [66]

Answer:

\huge\boxed{a=9 ; b = -8}

Step-by-step explanation:

f(x) = \frac{ax+b}{x}

Putting x = 1

=> f(1) = \frac{a(1)+b}{1}

Given that f(1) = 1

=> 1 = a + b

=> a+b = 1  -------------------(1)

Now,

Putting x = 2

=> f(2) = \frac{a(2)+b}{2}

Given that f(2) = 5

=> 5 = \frac{2a+b}{2}

=> 2a+b = 5*2

=> 2a+b = 10  ----------------(2)

Subtracting (2) from (1)

a+b-(2a+b) = 1-10\\a+b-2a-b = -9\\a-2a = -9\\-a = -9\\a = 9

For b , Put a = 9 in equation (1)

9+b = 1\\Subtracting \ both \ sides \ by \ 9\\b = 1-9\\b = -8

5 0
3 years ago
Eric wants to buy a camera that is 145.00$ but he has cupon of 30% off how much would he have to pay.
Furkat [3]

Answer:

101.5

Step-by-step explanation:

7 0
3 years ago
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