All categories

4 years ago

Wrote and solve an equation that will help you find three consecutive even numbers that sum to 600

Mathematics

1 answer:

vladimir1956 [14]4 years ago

7 0

Answer:

198, 200 and 202

Step-by-step explanation:

Represent the three consecutive even numbers by x, x + 2, x + 4.

Then:

x + x + 2 + x + 4 = 600

Combining like terms, we get:

3x = 594, so:

x = 198

x + 2 = 200

x + 4 = 202

The three consecutive even numbers are 198, 200 and 202.

You might be interested in

2log2 8 – 3 logs 25 + 2x = log 10,000 may you show the steps please

anzhelika [568]

Answer: x=2 - 1/2 x ㏒(16/2953125)

Step-by-step explanation:

log (28^2) + log(525^-3) + 2x=log(10^4)
log(28^2 x 1/523^3) + 2x=4
log(28^2/525^3) + 2x=4
log (112/75 x 75 x 525) + 2x=4
log(16/2953125) + 2x=4
2x=4-log(16/2953125)
x=2-1/2 x log(16/2953125)

8 0

3 years ago

Please help ASAP geometry

lina2011 [118]

Answer:

A' (-6,12)

B' (9,9)

C' (-3,0)

Answered by GAUTHMATH

3 0

3 years ago

The area of a square is 102 square units. What is an

Neko [114]

Answer:

Between 10 and 11.

Step-by-step explanation:

To begin, we can look at the problem as such. If we take the first answer choice, we can find the squares of both numbers giving us: (Remember that the area of a square is A=L²)

10²= 100

11²= 121

Since the given area is in between these two numbers, this means that the side length must be between 10 and 11.

3 0

3 years ago

Read 2 more answers

Name the possible rational roots for the function using the Rational Root Theorem.

blondinia [14]

Answer:

$\pm 1,\pm 3,\pm 5,\pm 15,\pm \frac{1}{3},\pm \frac{5}{3}$

Step-by-step explanation:

Given:

The function is given as:

$f(x)= 3x^{3}-19x^{2} +23x-15$

The possible rational roots for a function $f(x) = a_{n}x^{n}-a_{n-1}x^{n-1} +a_{n-2}x^{n-2}+....a_{1}x+a_{0}$ using the Rational Root Theorem is given as:

$\pm (\frac{\textrm{Factors of }a_{0}}{\textrm{Factors of } a_{n}}})$

Here, $a_{0}=-15,a_{n}=3$

Factors of -15 = $\pm1,\pm3,\pm5,\pm15$

Factors of 3 = $\pm1,\pm3$

Now, possible roots are given as:

$\pm (\frac{\textrm{Factors of }a_{0}}{\textrm{Factors of } a_{n}}})\\\\=\pm(\frac{\pm1,\pm3,\pm5,\pm15}{\pm1,\pm3})\\\\=\pm\frac{1}{1},\pm\frac{1}{3},\pm\frac{3}{1},\pm\frac{3}{3},\pm\frac{5}{1},\pm\frac{5}{3},\pm\frac{15}{1},\pm\frac{15}{3}\\\\=\pm1,\pm\frac{1}{3},\pm3,\pm1,\pm5,\pm\frac{5}{3},\pm15,\pm5\\\\=\pm1,\pm \frac{1}{3},\pm3, \pm 5, \pm \frac{5}{3},\pm15$

Therefore, option 1 is correct.

6 0

3 years ago

19. A box contains 95 pink rubber bands and 90 brown rubber bands. You select a rubber band at random from the box. Find each pr

KonstantinChe [14]

We are given with
95 pink rubber bands
90 brown rubber bands

The probability of selecting a pink rubber band is
P = 95 / (95 + 90) = 19/37
The probability of selecting a brown rubber band is
P = 90 / (95 + 90) = 18/37

8 0

3 years ago

Read 2 more answers

Wrote and solve an equation that will help you find three consecutive even numbers that sum to 600​

Wrote and solve an equation that will help you find three consecutive even numbers that sum to 600