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Type: Posts; User: kadence

1. ## Thread: exponents simplification

by kadence
Replies
2
Views
2,647

### Thanks Elisabeth!

Thanks Elisabeth!
2. ## Thread: exponents simplification

by kadence
Replies
2
Views
2,647

### exponents simplification

Which of the following is equal to (x^4)^5+(y^4) (y^5) ?

(A) x^{20} \cdot y^9

(B) x^9+y^{20}

(C) x^{20}+y^{20}

(D) x^9+y^9
3. ## Thread: fraction simplification

by kadence
Replies
2
Views
2,628

### Thanks Elisabeth!

Thanks Elisabeth!
4. ## Thread: fraction simplification

by kadence
Replies
2
Views
2,628

### fraction simplification

Which of the following is equal to \sqrt{\frac{4}{7}}?

(A) \frac{2}{7}

(B) \frac{2\sqrt{7}}{7}

(C) \frac{4}{\sqrt{7}}

(D) \frac{4\sqrt{7}}{7}
5. ## Thread: simplify expression sat math

by kadence
Replies
2
Views
2,268

### By using calculator we can easily find the roots...

By using calculator we can easily find the roots of the quadratics , then factorize them and cancel out like factors, if any as follows:

\frac{x^2-6x+8}{ x^2+3x-10}=\frac{(x-2) (x-4)}{(x-2)...
6. ## Thread: sat math question integers

by kadence
Replies
2
Views
2,626

### Let x be the greatest number and x-3, \ x-2, \...

Let x be the greatest number and x-3, \ x-2, \ x-1, \ x [tex]be the four consecutive integers.

If their sum (S) is 394 then we construct the following equation:
[tex]S= x-3+x-2+x-1+x=4x-6=394...
7. ## Thread: sat math geometry question

by kadence
Replies
2
Views
2,418

### Two consecutive sides of a square are...

Two consecutive sides of a square are perpendicular to each other and form a right angled triangle with the diagonal.

From the Pythagoras’ theorem
a^2+a^2=d^2 \Rightarrow 2a^2=d^2 \Rightarrow...
8. ## Thread: sat math percentages

by kadence
Replies
2
Views
2,551

### The 40% of b where b=24 is equal to 0.4 \cdot...

The 40% of b where b=24 is equal to 0.4 \cdot 24=9.6 .

The 20% of a is equal to 0.2 \cdot a=9.6 \Rightarrow

a=\frac{9.6}{0.2}=48

Therefore the correct answer is (C).
Hope these help!!
9. ## Thread: area of a circle sat

by kadence
Replies
2
Views
2,553

### The area of a circle with radius r is given by...

The area of a circle with radius r is given by the following formula
A=\pi r^2

So, A=\pi r^2=3\pi \Rightarrow r^2=3 (1)

If the radius of this circle is tripled i.e. 3r the new area is equal...
10. ## Thread: sat math problem ratio

by kadence
Replies
2
Views
2,957

### sat math ratios problem

x is 40% less than y can be written as x=(1-0.4)y \Rightarrow \frac{x}{y}=0.6

Therefore the correct answer is (B).

Hope these help!!;);)
11. ## Thread: sat math problem average

by kadence
Replies
2
Views
2,777

### Let x be the total number of officers in this...

Let x be the total number of officers in this camp. The number of senior officers would be 0.25x and the number of junior officers would be 0.75x.

The total monthly wages of all senior officers...
12. ## Thread: Sum of two numbers

by kadence
Replies
2
Views
2,695

### Thank you kadence!

Thank you kadence!
13. ## Thread: Sum of two numbers

by kadence
Replies
2
Views
2,695

### From the following identity we have that ...

From the following identity we have that

a^2+b^2=(a+b)^2-2ab=(14)^2-2(40)=196-80=116

Therefore the correct answer is (A).
14. ## Thread: sat math question of the day

by kadence
Replies
2
Views
2,157

### All of the choices can be interpreted as...

All of the choices can be interpreted as quadratic inequalities with roots a=-4 \ or \ a=1 . The leading coefficient(s) for (I) and (III) are positive while for (II) is negative.

Therefore, for...
15. ## Thread: sat math inequality question

by kadence
Replies
2
Views
2,045

### solving inequalities

Solving the following inequality for x
x^2-4x>0
x(x-4)>0
Inserting the roots 0, 4 in the number line below and starting from the right with + since the leading coefficient is positive, we have...
16. ## Thread: SAT math arrangements

by kadence
Replies
2
Views
3,043

### SAT permutations with repetition

SAT math permutations with repetition

Having n items, where there are {n}_{1},{n}_{2},..,{n}_{k} that are identical. The number of ways to permute them is given by the following formula:
...
17. ## Thread: Parallel lines angles

by kadence
Replies
2
Views
2,504

### Parallel lines angles

Parallel lines angles question

Definitions
A transversal is a line that interesects two or more lines.
Alternate interior angles are two non adjacent interior angles on opposite sides of a...
18. ## Thread: SAT math geometry

by kadence
Replies
2
Views
2,467

### SAT math geometry question

SAT math geometry

The triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side and the reverse triangle...
19. ## Thread: sat math simultaneous equations

by kadence
Replies
2
Views
2,325

### SAT simultaneous equations

SAT math simultaneous equations

\begin{cases} 4x+ 2y=8 \\ x + y=3 \end{cases}

The method of elimination or addition (step-by-step) is:

In the elimination method, the object is to make the...
20. ## Thread: SAT math systems

by kadence
Replies
2
Views
2,694

### SAT math simultaneous equations

SAT math question about simultaneous equations

\begin{cases} 4x+ 2y=7 \\ x + y=3 \end{cases}

The method of substitution (step-by-step) is:

1.Solve one of the equations for one unknown in...
21. ## Thread: sat math quadratic

by kadence
Replies
2
Views
2,169

### Thank you kadence!!

Thank you kadence!!
22. ## Thread: sat math quadratic

by kadence
Replies
2
Views
2,169

### SAT maths quadratic

SAT math Quadratic Equation

Since 3 is a root of the following equation:

2x^2+3x+m=0

you have to replace x with 3 and then solve for m

2(3^2)+3(3)+m=0
23. ## Thread: SAT Quadratic equation

by kadence
Replies
2
Views
2,181

### SAT mathematics Quadratic equation

SAT mathematics Quadratic equation

To solve a quadratic equation by factoring:
1. Start with the equation in the form ax^2+bx+c=0

2. Factor the left hand side

3. Set each factor equal...
24. ## Thread: SAT math Quadratic Equation

by kadence
Replies
2
Views
2,134

### SAT math Quadratic Equations

SAT math question about Quadratic Equations

The discriminant of the quadratic in terms of m is

\Delta=b^2-4ac=(m+3)^2-4(m+6)=m^2+2m-15=(m+5)(m-3)

For the quadratic equation to have one real...
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