MATHEMATICS HIGH SCHOOL

I need help with math

Answers

Answer 1

Answer:

Answer:

E) |g-540|

Step-by-step explanation:

E) |g-540|

If it weighed a bit over, say 545, you would get |545-540|=|5|=5

If it weight a little under, say 535, you would get |535-540|=|-5|=5

Either way, it tells you how far away from 540 the package is in grams from the desired weight.

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2. Solve and graph.(a) Write the inequality as two inequalities without absolute value.
(b) Solve the inequality and write the solution set.
(c) Graph the solution on a number line.

Answers

|x - 2| > 5

if x >= 2
x - 2 > 5
x > 7

if x < 2
-x + 2 > 5
x < -3

hence the solution is: x belongs to (-inf, -3)U(7, inf)

graphical representation of solution
---------------------------) (--------------------
-inf -3 7 inf

Write the following into rational numbers a over b (a and b are integers)a. 15.89898989 b. 0.101010

Answers

Answer: a.) 15 and 89/99

b.) 10/99

Step-by-step explanation:

a.) 15.898989...

Let x = 0.898989...

100*x = 89.8989...

100x - x = 89.898989... - 0.898989...

99x = 89

x = 89/99

So 15.898989.... = 15 and 89/99

b.) 0.101010

Y= 0.101010

100y = 10.101010...

100y - y = 10

99y = 10

y = 10/99

From MysticAlanCheng

Show your calculation below:In the diagram of AABC below, DE is parallel to AB, CD = 15,
AD = 9, and AB = 40.
The length of DE is
(1) 15
(2) 24
(3) 25
(4) 30
So your answer is
What is the relation between ACDE and ACAB?
What information in the question helps you get that
conclusion?

Answers

Answer:

DE=25

Angles CDE & CAB are equal since they are alternate angles.

Step-by-step explanation:

Triangle CDE is an reduction of triangle CAB.

Reduction Ratio= $(15)/(24)\nlength \ DE=(15)/(24)*40\n=40$

Angles CDE,CAB relationship- the two angles fall on opposite relative sides of two parallel lines are therefore equal.

What is 7.3519 to 1 decimal place?

Answers

Well, the first decimal place is the tenth place, so if you do NOT want to round, then your answer would be 7.3.
If you DO want to round, your answer would be 7.4 because there is a five in the hundredths place.

I hope this helped you!

$7.3519\approx7.4$