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3 years ago

5. How many even positive integers less than 600 can be written using

Mathematics

1 answer:

Alinara [238K]3 years ago

5 0

Answer:

The answer to this question is: 44.

Step-by-step explanation:

The even numbers that we can form with the numbers 2,4,5 and 8 are:

2, 4, 8, 22, 24, 28, 42, 44, 48, 52, 54, 58, 82, 84, 88, 222, 224, 228, 242, 244, 248, 252, 254, 258, 282, 284, 288, 422, 424, 428, 442, 444, 448, 482, 484, 488, 522, 524, 528, 542, 544 and 582, 584, 588.

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2, 5, 25/2 ,... Find the 9th term.

Cloud [144]

Step-by-step explanation:

seems to be multiplication, because the differences between the numbers change.

so, let's find the factor.

2 × f = 5

f = 5/2

5 × f = 5 × 5/2 = 25/2

ok, the factor 5/2 is confirmed.

a1 = 2

a2 = a1 × 5/2 = 2 × 5/2 = 10/2 = 5

a3 = a2 × 5/2 = a1 × 5/2 × 5/2 = 2 × 5/2 × 5/2 = 25/2

an = an-1 × 5/2 = a1 × (5/2)^(n-1) = 2 × (5/2)^(n-1)

a9 = 2 × (5/2)⁸ = 2 × 390,625/256 =

= 390,625/128 = 3,051.7578125

8 0

2 years ago

Solve the proportion 36/17=41/x what is x

algol [13]

Answer:

x=19.36111..

Step-by-step explanation:

to get this you would cross multiply

the equation: 36/17=41/x

which you do 36 * x = 17 * 41

divide each side by 36 to cancel it out and leave you with x

giving you (17*41)/36

do this in a calculator...

you get x=19.3611

4 0

3 years ago

What is the value of x? x/4-5=6

ivann1987 [24]

Let's solve your equation step-by-step.x(4)−5=6Step 1: Simplify both sides of the equation.x(4)−5=6Simplify: (Show steps)4x−5=6Step 2: Add 5 to both sides.4x−5+5=6+54x=11Step 3: Divide both sides by 4.4x4=114x=114Answer:x=114

3 0

3 years ago

Read 2 more answers

Please explain and solve!!! You won't get points unless you explain!!!

konstantin123 [22]

Area of a rectangle of length L and width W is A = LW.

Here, A = 60 ft^2 = (12 ft)(2x-3 ft). Let's find the values of x for which the area =60 ft^2, and then the values of x for which the area is greater than 60 ft^2.

60 = 12(2x-3) becomes 5 = 2x - 3 after dividing both sides by 12.

Adding 3 to both sides of this last equation results in 8 = 2x, so x = 4.

Does (12 ft)(2[4 ft] - 3) = 60? Does (12 ft)(5 ft) = 60 sq ft? YES.

The area of this rectangle will be greater than 60 sq ft if x>4 ft. (answer)

4 0

3 years ago

Rewrite the quadratic function in vertex form. Y=2x^2+4x-1

Fantom [35]

Answer:

$\large\boxed{y=2(x+1)^2-3}$

Step-by-step explanation:

The vertex form of an equation of a parabola:

$y=a(x-h)^2+k$

(h, k) - vertex

We have

$y=2x^2+4x-1=2\left(x^2+2x-\dfrac{1}{2}\right)$

We must use the formula: $(a+b)^2=a^2+2ab+b^2\qquad(*)$

$2\left(x^2+2(x)(1)-\dfrac{1}{2}\right)=2\bigg(\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-\dfrac{1}{2}\bigg)\\\\=2\left((x+1)^2-1-\dfrac{1}{2}\right)=2\left((x+1)^2-\dfrac{3}{2}\right)$

Use the distributive formula a(b + c) = ab + ac

$2(x+1)^2+2\left(-\dfrac{3}{2}\right)=2(x+1)^2-3$

5 0

3 years ago