All categories

3 years ago

If 3 consecutive integers sum to 63, the largest of the 3 = ?

Mathematics

2 answers:

Serggg [28]3 years ago

7 0

X+(x+1)+(x+2)=63
3x+3=63
3x=60
x=20
Consecutive integers are: 20, 21, 22
Answer: 22

DochEvi [55]3 years ago

6 0

This problem states that the sum of 3 consecutive integers is 63 and it asks us to find the largest integer.

Three consecutive integers can be represented as followed.

X → first integer

X + 1 → second integer

X + 2 → third integer

Since the sum of our three consecutive integers is 24, we can write an equation.

X + X + 1 + X + 2 = 63

We can simplify our equation on the left and it will read...

<h2>3x + 3 = 63</h2><h2> -3 -3</h2><h2></h2><h2>3x = 60</h2><h2> ÷3 ÷3 ← divide both sides by 3</h2><h2></h2><h2>X = 20</h2><h2></h2><h2>Largest integer = X + 2</h2><h2>20 + 2 = 22</h2><h2></h2><h2>Largest integer = 22</h2>

You might be interested in

Which is the graph of 5 log (x + 3) = 5?

algol13

????????????????????

5 0

3 years ago

Read 2 more answers

What is the slope of the line that

Kazeer [188]

Answer:

C -0.6

Step-by-step explanation:

2- -7 = 9

-2 - 13 = -15

9/-15 = -0.6

4 0

3 years ago

The diagram below shows the rectangle PLUM.

Illusion [34]

Answer:

Area of rectangle PLUM = 75.00 square units

Step-by-step explanation:

Since diagonal of rectangle divides the rectangle into two equal triangles,

Therefore, area of the rectangle PLUM = 2× area of triangle PLM

By the mean proportional theorem,

In ΔPLM,

AP² = AM × AL

6² = AM × 8

AM = $\frac{36}{8}$

AM = 4.5 units

Area of PLM = $\frac{1}{2}(\text{Base})(\text{height})$

= $\frac{1}{2}(ML)(AP)$

= $\frac{1}{2}(8 + 4.5)(6)$

= 12.5 × 3

= 37.5 units²

Now area of rectangle PLUM = 2×37.5 = 75 units²

Therefore, area of the rectangle is 75.00 square units.

3 0

3 years ago

Determine whether the triangle is a right triangle. Explain your reasoning. If it is not a right triangle, determine whether it

Alinara [238K]

Answer:

If it's Jose, Brad, and Ed it's an acute triangle, it has no 90 degree angle, if it's Jose, James, and Malcolm it is a right triangle because the line to Jose and Malcolm is straight I think not sure how to explain

Step-by-step explanation:

5 0

2 years ago

Point slope equations

Sholpan [36]

Answer:

The point slope equation is: y - y1 = m (x - x1)

m = slope

Step-by-step explanation:

To use this equation, you need to know:

-<u> </u><u>one point on the line</u>

-<u> the slope of the line</u>

<u>First</u>:

(x1,y1) = a known point on the line

m = the slope

(x,y) = any other point on the line

<u>Now</u>:

we plug the numbers into the equation to get y - y1 = m (x - x1)

<u>Then</u>:

you solve the equation

4 0

3 years ago