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brilliants [131]
3 years ago
5

Please help ill mark brainliest if correct​

Mathematics
2 answers:
Alex17521 [72]3 years ago
7 0

The answer is A) (3.1, 2.2)

Leto [7]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Given the 2 equations

y = 2x - 4 → (1)

2x + 4y = 15 → (2)

Substitute y = 2x - 4 into (2)

2x + 4(2x - 4) = 15 ← distribute and simplify left side

2x + 8x - 16 = 15

10x - 16 = 15 ( add 16 to both sides )

10x = 31 ( divide both sides by 10 )

x = 3.1

Substitute x = 3.1 into (1) and evaluate for y

y = 2(3.1) - 4 = 6.2 - 4 = 2.2

solution is (3.1, 2.2 ) → A

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8. A substance has a half life of 2.347 minutes.
mina [271]

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

A=A_0b^{\frac{t}{c}}

Where A is the final population

A_0 is the initial population

b is the growth factor

c is the time taken for the growth 'b'

t is the amount of time

Here, we are given that:

A = 6. 9 grams

A_0 = 110.4 grams

b = \dfrac{1}{2}

c = 2.347 min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to \frac{t}{c}.

Putting the values in the formula, we get:

6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4

Therefore, the answer is:

<em>4 half lives </em>have passed.

b.) Total time of decay. We have to find the value of t here.

From answer of part a.):

\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}

7 0
3 years ago
What is the simplest form of x^2+5X-36/x^2-16<br> X+9/X+4<br> 9/4<br> X+9/X-4<br> -9/4
Digiron [165]

Answer:

\frac{ {x}  + 9}{x - 4}

Step-by-step explanation:

\frac{ {x}^{2}  + 5x - 36}{ {x}^{2}  - 16}  \\  \\  = \frac{ {x}^{2}  + 9x  - 4x- 36}{ {x}^{2}  -  {(4)}^{2} } \\  \\  = \frac{ x({x}  + 9)  - 4(x + 9)}{ (x + 4)(x - 4) }  \\  \\  = \frac{ ({x}  + 9) \cancel{(x  - 4)}}{  \cancel{(x + 4)}(x - 4) } \\  \\  = \frac{ {x}  + 9}{x - 4}

7 0
3 years ago
How do you convert 3/11 to a decimal equivalent using long division
Sidana [21]
In order to Convert 3/11 into a decimal you have to divide 3/11 out. If you were to put the three on top and the 11 on the bottom (here's a little tip to make it easier " top dog stays out and snoopy stays in. Top dog would be 3 because it is on the top of the fraction. Snoopy would be the 11 which is on the bottom of the fraction.) so with that being said..... So if you do 3 divided by 11 The answer would be 0.27272727.....hope it helped...:)
8 0
3 years ago
Solve:<br> 3/5 + 7/10 - 1/2=
Marizza181 [45]

Answer:

-10.7

Step-by-step explanation:

tThe answer is -10.7. What you do is 3/5+7/10 then, you subtract 12 which gives your the answer

4 0
3 years ago
If there are more negative counters than positive counters, what will the sign of the sum be?
podryga [215]
Negative. If a negative number is "larger" (further away from zero) than a positive number, the result will be negative. You're basically subtracting a value that is greater than your starting value.

For example:
8 positive counters plus 18 negative counters:

This can be expressed as 8-18, which equals -10. The sign of the sum is therefore negative.
8 0
4 years ago
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