All categories

3 years ago

The sum of three consecutive even numbers is 48. What is the smallest of these numbers?

Mathematics

2 answers:

Helga [31]3 years ago

7 0

The smallest number is 14

SVETLANKA909090 [29]3 years ago

4 0

Answer: The numbers are 14, 16 and 18.

Step-by-step explanation: First thing to note is that consecutive even numbers have a difference of 2 units between every two terms. That is, if the first number is a, the next would be a + 2, and the next would be a + 4, and so on.

Therefore the three consecutive even numbers shall be a, a + 2, and a + 4.

Our equation now becomes;

a + a + 2 + a + 4 = 48

3a + 6 = 48

Subtract 6 from both sides of the equation

3a = 42

Divide both sides of the equation by 3

a = 14

Therefore, the numbers are 14, 16 and 18.

You might be interested in

You have found the ages (in years) of 5 gorillas. Those gorillas were randomly selected from the 29 gorillas at your local zoo:

zalisa [80]

Answer:

the answer is 10

Step-by-step explanation:

(8+4+14+16+8)/5

8 0

2 years ago

Consider the graph f(x)=3 to the power of x. describe how to graph the transformation f(x-3)+2

Assoli18 [71]

Answer:

shift the graph horizontally to the right for 3 units and then shift vertically up 2 units

Step-by-step explanation:

f(x) = x³ vs f(x-3)+2

f(x-3) will shift the graph horizontally to the right for 3 units

+2: will shift vertically up 2 units

3 0

2 years ago

Christopher estimates it will take him half an hour to complete his math homework. He is able to complete it in 25 minutes. What

marin [14]

Answer:

The percent error in his estimate is<u> 16.67%</u>.

Step-by-step explanation:

Given:

Christopher estimates it will take him half an hour to complete his math homework.

He is able to complete it in 25 minutes.

Now, to find the percent error in his estimate.

Time estimates of completing homework = 30 minutes.

Time actual taken to complete homework = 25 minutes.

Error in estimate = Time estimates of completing homework - Time actual taken to complete homework.

Error in estimate = 30 minutes - 25 minutes.

Error in estimate = 5 minutes.

Now, to get the percent error:

$Percent\ error =\frac{Error\ in\ estimate}{Time\ estimates\ of\ completing\ homework} \times 100.$

$Percent\ error=\frac{5}{30} \times 100$

$Percent\ error=\frac{500}{30}$

$Percent\ error=16.67\%.$

Therefore, the percent error in his estimate is 16.67%.

6 0

3 years ago

Find the Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. Round to the nea

Delvig [45]

Answer:

so you multiply the 13 by 12. Then divid 12 by 2 to get 6 as the radius then use a calculator and type in 2(PIE SYMBOL) R. R=radius then whatever number you get cut it in half then subtract it from 13x12.

5 0

2 years ago

PLEASE GUYS HELP QUICK. PLEASE DO EVERYTHING IT ASKS YOU TO DO show work and ect , I'M OFFERING 15PTS ( More than its worth) And

Anvisha [2.4K]

A. W = L - 10

b. P = 2(L + L - 10)
P = 2(2L - 10)
P = 4L - 20

c. solve
P = 4L - 20
244 = 4L - 20
244 + 20 = 4L
264 = 4L
264 / 4 = L
66 = L or L = 66
Length of the rectangle = 66 mm

d.
W = L - 10
W = 66 - 10
W = 56
Width of rectangle = 56 mm

5 0

3 years ago