How do you simplify the fraction 252 over 288?

Answers

Answer 1

Answer: GCF = 36

We can reduce the fraction by dividing
the numerator and denominator by 36
and get our simplified answer

252 ÷ 36 / 288 ÷ 36=

7 /8

Answer 2

Answer: Instead of finding the GCF, you can simplify with mental math.

If you notice they are both divisible by any number, divide them both by this number to simplify until they share no common factors.

252 and 288 are both divisible by 2.

252/288 = 126/144

126 and 144 are both divisible by 2.

126/144 = 63/72

63 and 72 are both divisible by 3.

63/72 = 21/24

21 and 24 are both divisible by 3.

21/24 = 7/8

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Line SU bisects angle RST. Which statement is NOT true?A) ∠RST = ∠RSU
B) ∠RSU = ∠UST
C) ∠SQU = ∠SPU
D) PS = QS

Answers

In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.
so the answer is B

Answer : The incorrect option is, (A) ∠RST = ∠RSU

Step-by-step explanation :

As we are given that, line SU bisects angle RST and SPUQ is a rhombus.

First we have to determine that ΔSQU and ΔSPU are congruent triangles.

Proof:

Side SU = Side SU (common side)

∠SQU = ∠SPU (In rhombus opposite angle are always equal)

∠RSU = ∠UST (angle bisector)

ΔSQU ≅ ΔSPU (By ASA congruency)

So, Side PS = Side QS

∠RST = ∠RSU this option is wrong because $\angle RSU=(1)/(2)\angle RST$

Thus, the incorrect option is, (A) ∠RST = ∠RSU

It is given that -3 is one of the roots of the quadratic equation x square -4x-h=0.find the value of h

Answers

Since -3 is one of the roots, that means it would satisfy the equation.

x^2 - 4x - h = 0, substitute x = -3.

(-3)^2 -4(-3) - h = 0
9 + 12 - h = 0
21 - h = 0
21 = h.
h = 21.
That's the value of h. Cheers.

Sally is looking to invest in Agricon Products when its P/E ratio is lower than 15. Each share is currently projected to earn $1.30 this year. Which of the stock prices listed below would give the P/E ratio she is looking for?I. $18 a share
II. $19 a share
III. $20 a share

Answers

The right answer for the question that is being asked and shown above is that: "III. $20 a share ." Sally is looking to invest in Agricon Products when its P/E ratio is lower than 15. Each share is currently projected to earn $1.30 this year. The stock prices listed below would give the P/E ratio she is looking for is that III. $20 a share

A lab technician mixed a 530 ml solution of water and alcohol. If 3% of the solution is alcohol, how many milliliters of alcohol were used and how many milliliters of water were used?

Answers

Given:
530 ml solution of water and alcohol.

3% of the solution is alcohol.

530 ml * 3% = 15.9 ml of alcohol was used.

530 ml - 15.9 ml = 514.10 ml of water was used.
or
530 m * 97% = 514.10 ml of water.

F(x) 5,450(1.024)^x The domain for the function that represents the amount of time the money will be in the college fund is _ the range for the function that represents the amount of money that is in the college fund is _

Answers

Answer:

1.) Domain X = all positive real numbers

2.) Range: F(x) > = 5450

Step-by-step explanation:

Given that

F(x) = 5,450(1.024)^x

Where the domain is the independent variable X and the range is the dependent variable Y or F(x)

Since the domain for the function represents the amount of time the money will be in the college fund, time cannot be negative, it will always be positive.

Therefore, domain x will be all positive real numbers.

The least domain x = 0

Substituting domain into the equation will give us a range of value:

F(x) = 5450 × ( 1.024 )^0

F(x) = 5450 × 1

F(x) = 5450

That is, the least value of range = 5450

Therefore, Range will be F(x) greater than or equal to 5450.

F(x) > = 5450

Given the following system of equations, identify the type of system.x + 2y = 6
3x + 6y= -9
A. Consistent
B. Inconsistent
C. Equivalent