MATHEMATICS HIGH SCHOOL

A piece of string is 325 centimeters long. You need the string to be 1 and 1/4 (1.25) meters long.

How many centimeters should you cut off?

Answers

Answer 1
Answer: It would be 200cm, because 100 cm is 1 meter, and 1.25 would be 125 cm.  So if you subtracts 125 from 325, you get 200 cm.

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What is the solution of 3x + y = 9 and 3x − 5y = 15?

Answers

The answer is (10/3, -1)

The sum of 3 consecutive integers is -192. What is the middle number?

Answers

-192 ÷ 3 = -64

therefore the numbers must be -63, -64, and -65

the middle number is -64 :)
 the middle number is -64 , because -192 / 3

i hope this helps

One winter the cost of bananas cost $0.80 per lb. The next winter the cost was$1.05 per lb. What was the percentage increase?

Answers

so assume .8=100%
1.05-0.8=iincrease=0.25

find what .25/.8=
.25/.8=2.5/8=(use calculator)=0.3125
percent means parts out of 100
so
0.3125/1 times 10/10=3.125/10 times 10/10=31.25/100
the percentage increase was 31.25%

Well. The percentage increase would be 30%.

Its would have to be rounded. If you time .80 by the decimal of 30 percent, which is .30 you will receive .24, that will equal out to 1.04.


.80 x .30= .24

.80 + .24 = $1.04

At what point (x,y) do the two lines with equations x-2y=5 and 3x-5y=8 intersect?

Answers

\begin{cases} x-2y=5 \ \ /*(-3)\n 3x-5y=8 \end{cases}\n \n\begin{cases} -3x+6y=-15 \n 3x-5y=8 \end{cases}\n + \ -------\n y=-7\n \nx-2y=5 \n \nx-2*(-7)=5 \n \nx+14=5 \ \ |-14\n \nx=5-14 \n \nx=-9 \n \n \begin{cases}x=-9 \n y=-7 \end{cases} \n \n \nAnswer: \ \ this \ is \ the \ point : \ \ (-9,-7)

Solve for x to four significant digits

7^x=13

Answers

1.318

Explanation:
Really what you're looking for is a value of x that, when 7 is raised to that power, will give you 13. 
putting the equation in terms of f and g (any variables will do) :
7^x = f(x)
13= g(x)

using the rule if f(x)=g(x) then ln f(x) = ln g(x)
If any function f of x equals g of x then the natural log of f of x equals the natural log of g of x. 

Therefore:
ln (7^x) = ln (13)

With logs, if there is something raised a power, the exponent can simply be moved to the front, so:
ln (7^x) = x * ln 7
note: *=multiplication

therefore your new equation is
x*ln 7 = ln 13
if you divide both sides by ln 7, you get that
x = (ln 13)/(ln 7)
x = 1.318123223
but you only need four sig figs (significant figures) so your answer is
x = 1.318

*Note =  the answer is 1.318 only because those are the first four digits of the answer. I suggest looking up rules for sig figs if you do not know what they already are 

HOPE THAT HELPS
_V :)

Can someone please help?

Answers

Answer:

Multiply by 3, 162

Step-by-step explanation:

2 x 3 is 6.

6 x 3 is 18.

18 x 3 is 54.

54 x 3 is.... you get the deal.

54 x 3 is 162.
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