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Aleonysh [2.5K]
3 years ago
12

Given the system of equations: ax + by = 12 2x + 8y = 60, where a and b are constants. If the system is consistent and dependent

, what is the value of b/a?
Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0

Answer:

a = 0.4 and b=1.6

Step-by-step explanation:

Both expressions are simply divided

(2x + 8y = 60) ÷ (ax + by = 12)

60÷12 = 5, Hence coefficient of x and y in the bigger equation is divided by 5 to find a and b

2/5 = 0.4 = a

8/5= 1.6 = b

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Which of the following illustrates the truth value of the given statements?
bekas [8.4K]

Answer:

T and F

Step-by-step explanation:

Hi! Maybe I am reading it wrong, but only 2 statements are given. The answer to these statements are true and false.

"A square root of 16 is 4."

4^{2} =16

4 squared, or 4 * 4 is equal to 16, and therefore this is true.

"The only square root of 9 is -3."

This is false. 9 has 2 square roots: 3 and -3.

3^{2} =9\\-3^{2} =9

3 * 3 = 9, and so does (-3) * (-3).

So we have T and F, which eliminates the second, third, and fourth choices, which means even without a last statement, A is your correct answer.

Hope I helped! :)

3 0
3 years ago
Which property is illustrated? 8(a + c) – 8a+ 8c​
inessss [21]

Answer:

commutative property

Step-by-step explanation:

6 0
3 years ago
Here are some numbers written in standard form. From these numbers write down/
ELEN [110]

Answer:

When we have a number like:

1.0x10^n

To rewrite this in standard form, we need to:

if n is positive, we move the decimal point n times to the right, adding zeros when necessary.

1.0x10^3

n = 3. then we add 3 zeros between the one and the decimal point, this is:

1.0x10^3 = 1000

if n< 0, then we move the decimal point n times to the left.

If we had:

1.0x10^-3

We move the decimal point 3 times to the left, adding zeros as this is needed.

1.0x10^-3 = 0.001

if n = 0, we have:

1.0x10^0 = 1.0

Now let's rewrite all the given numbers:

A) 3.4x10^-1  = 0.34

B) 1.36x10^6  = 1360000

C) 7.9x10^0  = 7.9

D) 2.4x10^5  = 240000

E) 5.21x10^-3  = 0.00521

F) 4.3x10^-2 = 0.043

6 0
3 years ago
(10x-1)+(17x-8)=180<br> What is X?<br> Thanks so much xx
Anni [7]

Answer:

X= 7

Step-by-step explanation:

Well first combine like terms

27x-9=180

Isolate from the variable

27x=189

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The final answer is 7

5 0
3 years ago
Read 2 more answers
The elevation E, in meters, above sea level at which the boiling point of a certain liquid is t degrees Celsius is given by the
otez555 [7]
Given function is 

E(t) = 1100(80 - t) + 500(80 - t)^2

At t= 79.5 degree.

So we can place t= 79.5 in given equation

E(79.5) = 1100 (80 - 79.5) + 500* (80 - 79.5)^2&#10;
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                     = 550 + 500 * 0.25
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So elevation equal to 625 meter at t = 79.5 degree.


3 0
3 years ago
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