MATHEMATICS HIGH SCHOOL

if a boy grows 5 inches, he will be one-half as tall as his sister. His sister is 68 inches tall. How tall is the boy?

Answers

Answer 1

Answer:

If the boy grows another 5 inches, he will be 1/2 as tall as his sister. HIs sister is 68 inch tall

Let sister = g, and boy = b

2b + 5 = g

g = 68

Plug in 68 for g

2b + 5 = 68

Isolate the b. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

first, subtract 5 from both sdies

2b + 5 (-5) = 68 (-5)

2b = 68 - 5

2b = 63

Isolate the b. Divide 2 from both sides

2b/2 = 63/2

b = 63/2

b = 31.5

The boy is 31.5 inches tall

hope this helps

Answer 2

Answer:

Answer:

The height of boy is 29 inches.

Step-by-step explanation:

Given : If a boy grows 5 inches, he will be one-half as tall as his sister. His sister is 68 inches tall.

To find : How tall is the boy?

Solution :

Let x be the boy's height and y be his sister's height.

We have given, His sister is 68 inches tall i.e. y=68 inches

Now, If a boy grows 5 inches i.e. x+5

then he will be one-half as tall as his sister i.e. $x+5=(1)/(2)y$

or $y=2x+10$

We know, y=68 substitute in above equation

$68=2x+10$

$2x=58$

$x=(58)/(2)$

$x=29$

Therefore, The height of boy is 29 inches.

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PLEASE HELP!! OFFERING 39 POINTSGraph each linear equality
1. y<3/2x-1
2. -3y≥-2x+6
3. x>-1

Answers

I hope you understand it. Also pay attention to if the line is dotted or not because they do matter.

PLEASE HELP!! The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 195 grams of a radioactive isotope, how much will be left after 6 half-lives?
Use the calculator provided and round your answer to the nearest gram.

Answers

Answer:

3.047

Step-by-step explanation:

I'm not completely sure but i think its close

Final answer:

Applying the concept of half-life, if we start with 195 grams of a radioactive isotope, after 6 half-lives, we would be left with approximately 3 grams of the isotope.

Explanation:

The half-life concept is very important in Nuclear Physics, especially when we deal with Radioactive Isotopes. Regarding your question, if an isotope has a half-life, it means after each half-life, the quantity of the isotope decreases by half. So, to determine the remaining mass of a radioactive isotope after 6 half-lives, we have to consecutively halve the initial mass 6 times.

After the first half-life, 195 grams will become 97.5 grams.
After the second half-life, 97.5 grams will become 48.75 grams.
After the third half-life, 48.75 grams will become 24.375 grams.
After the fourth half-life, 24.375 grams will become 12.18 grams.
After the fifth half-life, 12.18 grams will become 6.09 grams.
After the sixth half-life, 6.09 grams will become around 3 grams (when rounded to the nearest gram).

So, after 6 half-lives, there will be approximately 3 grams of the isotope left.

Learn more about Half-life here:

brainly.com/question/37906890

#SPJ11

Write as a decimal 0.068%

Answers

$0.068\% =0.00068$

Solutions in the picture

Good luck :)

during a basketball game, your team scored three times as many 2-point field goals than it did 3-point field goals, and scored a total of 90 points. How many field goals did your team score?

Answers

Answer:

40 field goals

Step-by-step explanation:

Represent 2-point with x and 3-point with y;

Given

$x = 3y$

$2x + 3y =90$

Required

Determine x and y

$x = 3y$

$2x + 3y =90$

Substitute 3y for x in $2x + 3y =90$

$2(3y) + 3y = 90$

$6y + 3y = 90$

$9y = 90$

Divide both sides by 9

$y = 10$

Substitute 10 for y in $x = 3y$

$x = 3 * 10$

$x =30$

The number of field goals = x + y

$x + y = 30 + 10$

$x + y = 40$

Hence, the number of field goals is 40

when measuring length 9 butcher knives are approximately equal to 16 steak knives. How many steak knives are equal to 63 butcher knives? how many butcher knives are equal to 48 steak knives

Answers

I think I would be 48 steak knives

Seeing as this question was asked a long time ago, I'm gonna use it as free points- ;w;

The ordered pairs below represent a linear relation between x and y.(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)

Which of the following is a correct statement about this relation?

A. The slope of the line represented by this table is -2 and the y-intercept is -4.
B. The slope of the line represented by this table is 2 and the y-intercept is 7.
C. The slope of the line represented by this table is 2 and the y-intercept is -4.
D. The slope of the line represented by this table is -2 and the y-intercept is 7.