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inessss [21]
2 years ago
8

In a cookie jar,

Mathematics
1 answer:
Sedbober [7]2 years ago
7 0

well, a WHOLE is 1, which we can split in many fractions, say 5/5, 10/10 or 999/999 and so on.

we know 1/5 of the jar is chocolate chip, and there's the rest, well, the Whole jar in 5ths have to be 5/5, if we take away 1/5 from 5/5, the "rest" is 5/5 - 1/5 = 4/5.

now, we also know that 1/2 of the "rest" is peanut butter, or namely that 1/2 of 4/5 is peanut butter, how much will that be?  let's divide 4/5 by 2

\cfrac{4}{5}\div 2\implies \cfrac{4}{5}\div \cfrac{2}{1}\implies \cfrac{4}{5}\cdot \cfrac{1}{2}\implies \cfrac{4}{10}\implies \cfrac{2}{5}

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Point G is (-8,6) Point J is a reflection of point G and is reflected across the x axis what are the coordinates of point J?
kakasveta [241]

Answer:

(-8, -6)

Step-by-step explanation:

Given the Point G is (-8,6) if Point J is a reflection of point G and is reflected across the x axis, to get the coordinate of point J, we will negate the y coordinate while retaining the x coordinate value

J = (-8, -(6))

J = (-8, -6)

Hence the required coordinate of J is (-8, -6)

7 0
2 years ago
Dinosaur fossils are often dated by using an element other than carbon, like potassium-40, that has a longer half life (in this
Firlakuza [10]
The amount of substance left of a radioactive element of half life, t_{\frac{1}{2}} after a time, t, is given by:

N(t)=N_0\left( \frac{1}{2} \right)^ \frac{t}{t_{  \frac{1}{2} }}

Given that <span>potassium-40 has a half life of approximately 1.25 billion years.

The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:

0.1=100\left( \frac{1}{2} \right)^ \frac{t}{1.25}} \\  \\ \Rightarrow\left( \frac{1}{2} \right)^ \frac{t}{1.25}}=0.001 \\  \\ \Rightarrow\frac{t}{1.25}\ln\left( \frac{1}{2} \right)=\ln(0.001) \\  \\ \Rightarrow \frac{t}{1.25}= \frac{\ln(0.001)}{\ln\left( \frac{1}{2} \right)} =9.966 \\  \\ t=9.966(1.25)=12.5

Therefore, </span><span>the maximum age of a fossil that we could date using 40k is 12.5 billion years.</span>
3 0
3 years ago
Solve for x.<br> X + 10<br> 12x - 50<br> x = [?]
igor_vitrenko [27]

Answer: x = 5

Step-by-step explanation:

7 0
2 years ago
The midpoint of AB is M(-6, -6). If the coordinates of A are (-4, -8), what are
matrenka [14]

Answer: (-8, -4)

Step-by-step explanation:

3 0
2 years ago
8.EE.8
IceJOKER [234]

For the first system, we have

1 - 3x + 3y = -8

or

-3x + 3y = -9

The second equation, however, tells us

-3x + 3y = 13

but -9 ≠ 13, so this system has no solution.

For the second system, notice that multiplying both sides of

4x - 8y = 6

by 1/2 gives

2x - 4y = 3

which is identical to the other equation in the system. Then all point (x, y) that lie on this line are solutions to the system, meaning there are infinitely many solutions.

4 0
3 years ago
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