All categories

3 years ago

The sum of three consecutive even numbers is 312. What is the value of the smallest number?

Mathematics

1 answer:

andrezito [222]3 years ago

4 0

Answer: 102

Step-by-step explanation:

Let the numbers be a, a+2 and a+4. Since the sum of three consecutive even numbers is 312, this will be:

a + a+2 + a+4 = 312

3a + 6 = 312

3a = 312 - 6

3a = 306

a= 306/3

a = 102

Therefore, the smallest number is 102.

Other numbers are 104 and 106.

You might be interested in

What is

Sergeeva-Olga [200]

Answer:

Standard form of the equation is:

∴ $3x+y=23$

Step-by-step explanation:

Given equation:

$y-2=-3(x-7)$

To convert the given equation to standard form of equation:

$A(x)+B(y)=c$

Using distribution.

$y-2=(-3x)+(-3\times-7)$

$y-2=-3x+21$

Adding 2 both sides.

$y-2+2=-3x+21+2$

$y=-3x+23$

Adding $3x$ to both sides.

$3x+y=3x-3x+23$

∴ $3x+y=23$

6 0

3 years ago

Which unit of measurement would be the most appropriate to measure the mass of a person?

max2010maxim [7]

Kilograms would be the most appropriate way

3 0

3 years ago

The line AB has midpoint (2,5).<br> A has coordinates (1, 2).<br> Find the coordinates of B.

Gekata [30.6K]

Answer:

$X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2$

And we can solve for $B_x$ and we got:

$1+B_x = 4$

$B_x = 3$

$Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5$

And we can solve for $B_x$ and we got:

$2+B_y = 10$

$B_y = 8$

So then the coordinates for B are (3,8)

Step-by-step explanation:

For this case we know that the midpoint for the segment AB is (2,5)

And we know that the coordinates of A are (1,2)

We know that for a given segment the formulas in order to find the midpoint are given by:

$X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2$

And we can solve for $B_x$ and we got:

$1+B_x = 4$

$B_x = 3$

$Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5$

And we can solve for $B_x$ and we got:

$2+B_y = 10$

$B_y = 8$

So then the coordinates for B are (3,8)

7 0

3 years ago

I cant remember how to do this

Scrat [10]

Answer:

z = 80°

Step-by-step explanation:

ABCD ~ FECG

∠F ≅ ∠A = z

∠F = 360-100-60-120=80

z = 80°

3 0

3 years ago

"the quotient of a number and 4"

ladessa [460]

Answer:

a number divided by 4

Step-by-step explanation:

a number = n (it's a variable used in equations.)

so n over 4, or n divided by 4

3 0

3 years ago