MATHEMATICS HIGH SCHOOL

3. Irvin cut a 47 in. wire into two pieces. The longer piece is 13 in. longer than the shorter piece. What is the length of the longer piece?_________ in.

Please Help!!!

Answers

Answer 1
Answer: Let's say x to the shoter piece's length, since the longer one is 13 in longer, it's length has to be x+13 in. We know the sum of these pieces is equal to 47. So let's solve: 
x+x+13=47\n 2x+13=47\n 2x=47-13\n 2x=34\n x=\frac { 34 }{ 2 } \n x=17
the shorter piece's length 'x' is 17 , so the longer piece's length 'x+13' is : x+13\n 17+13=30
Answer 2
Answer:

Answer:

30 inches.

Step-by-step explanation:

i took the test and got it correct.

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Accumulated depreciation of a particular plant asset refers to: half-yearly depreciation total depreciation. or neither?

Answers

Accumulated depreciation of a particular plant asset refers to neither the half-yearly depreciation nor total depreciation.

Accumulated depreciation is the total depreciation expense reported since the plant asset was bought. Its amount is used to determine the book value or carrying value of the plant asset. 

When the plant asset is fully depreciated, that is only the time when accumulated depreciation is equal to the total depreciation.

Is this triangle
ASA
SSS
HL
AAS
SAS
or Not Congruent

Answers

Step-by-step explanation:

With the GIVEN information ( without having to deduce any more information about the triangles)

SAS   says the triangles are congruent   .....  two equal sides with an equal included angle between the sides

Answer:

SAS

Step-by-step explanation:

Angle ABC = Angle ECD

AC = DC

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Of the 1,000 students in a local college, 420 own brand X mobile phones and 580 own brand Y mobile phones. Of these students, 80 own both brands of mobile phones. Find the probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone.2/14

5/21

3/28

4/29

Answers

Answer: The probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone is 4/29.

Step-by-step explanation:

Since, the total number of students, n(s) = 1,000

The number of students who have X mobile phones, n(X) = 420,

And, number of students who have Y mobile phones, n(Y) = 580,

Thus, the probability of the student that has Y phones,

P(Y)=(n(Y))/(n(S))=(580)/(1000)=0.58

While, the number of students who have both phones, n(X∩Y) = 80

Thus, the probability of the student who has both phones,

P(X\cap Y)=(n(X\cap Y))/(n(S))=(80)/(1000)=0.08

Hence, the probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone.

P((X)/(Y))=(P(X\cap Y))/(P(Y))

=(0.08)/(0.58)

=(8)/(58)=(4)/(29)

Hence, the required probability is 4/29.
If we were to put this in terms of a venn diagram, we would have 360 owning only brand X, 500 owning only brand Y, and 80 in between, owning both. Therefore, 80 out of the 580 owners of brand Y may have X as well, which we put into fraction form 80/580, and reduce to 4/29.

What is the sum of the first 30 odd numbers? How to calculate it without having to add all of them.

Answers

See that odd number are in a Aritmetic progression with a1 = 1 and r = 2

30th number of sequence is given by:

a_(30)=a_1+29r\n \n a_(30)=1+29*2\n \n a_(30)=59

Now you can calculate the sun by:

S_(30)=(30(1+59))/(2)=(30*60)/(2)=900

The function s(V) = describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters.What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?

Answers

The function for the volume of the cube is
s(V) = V³

The minimum volume of the cube is 
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V ≥ ∛64
V ≥ 4

The range of the value is from 4 to positive infinity.

Answer:

B

greater or equal to 4

A printer printed 68 letters in 4 seconds. If it prints letters at a constant speed, it can print ______ letters in 30 seconds.

Answers

510 letters. 68/4=17 which means 17 letters per second. You are trying to find out how many letters you can do in 30 seconds, so you just simply multiply 17 by 30 to get 510 letters. Hope this helped!

The answer is 510, Im glad I can help! Enjoy the test!
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