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love history [14]
3 years ago
12

What is the solution to the system of equations? {y=5x−10y=−3x+14

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

y=5x−10 ..(1)

y=−3x+14 ...(2)

Subtract equation (2) from (1).

y-y = 5x−10-(−3x+14)

0 = 5x-10+3x-14

0= 8x-24

8x = 24

x = 3

Put the value of x in equation (1).

y=5(3)−10

= 15-10

y = 5

So, the values of x and y are 3 and 5 respectively.

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How much of a radioactive kind of ruthenium will be left after 8 hours if you start with 3,888
ziro4ka [17]

Answer:

Step-by-step explanation:

As an example, iodine-131 is a radioisotope with a half-life of 8 days. It decays by beta particle emission into xenon-131. After eight days have passed, half of the atoms of any sample of iodine-131 will have decayed, and the sample will now be 50% iodine-131 and 50% xenon-131.

50 grams to 25 grams is one half-life. 25 grams to 12.5 grams is another half-life. So, for 50 grams to decay to 12.5 grams, two half-lives, which would take 36 days total, would need to pass. This means each half-life for element X is 18 days.

7 0
3 years ago
Read 2 more answers
Tammy learns in science class that water freezes when its temperature is
Oksanka [162]

The required number line that shows all of the possible

temperatures is option A.

<h3>Inequalities and number line</h3>

From the given question, we have that water freezes when its temperature is no more than 32 °F

The statement no more than 32 °F shows that the temperature cannot be greater than 32 but less than or equal to 32. This is written mathematically as;

t ≤ 32.

We are to select the number line that shows all of the possible temperatures. The required number line that shows all of the possible

temperatures is option A.

Learn more on number lines here: brainly.com/question/24644930

7 0
2 years ago
If the temperature decreased 7 and a half degreen in 3 hours and now is -14 dedgree celsius, what was the original temperature?
prisoha [69]
-14+71/2= -6 1/2 degrees Celsius is the original temperature.
3 0
3 years ago
Emilio’s family volunteers at the local soup
Mice21 [21]

Answer:

Emilio will have both activities again on the same day after 90 days from this Saturday.

Step-by-step explanation:

<em>To solve this question list the multiples of 30 and 9 to find the first common multiple because the two activities will happen again in </em><em>a number divisible by both 30 and 9.</em>

∵ The multiples of 30 are: 30, 60, 90, 120, ............

∵ The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, .....

→ The common multiple is 90

∴ The common multiple of 30 and 9 is 90

→ That means the activities will meet again after 90 days from

   this Saturday

Emilio will have both activities again on the same day after 90 days from this Saturday.

8 0
3 years ago
What is 6.34 when the 34 is repeating as a fraction
lana [24]

ANSWER:

6_34/99

STEP:

So yes. When a decimal is repeating, you can take the repeating number (most likely a decimal) and put 99 under it. Since 99 cannot be solved, you put 99. So, 34/99. Though we are not finished. There is still the whole 6 number left. So, you do 6_34/99.

Proof:

10x=6.6...

 -x=-0.6...

9x=6

x=6/9=1/3.

3 0
3 years ago
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