All categories

4 years ago

Will the sum of the three even numbers be odd or even?

Mathematics

1 answer:

Anna35 [415]4 years ago

8 0

Answer:

Even.

Step-by-step explanation:

They will be even.

All even numbers, by definition, are divisible by 2.

We can write 3 even numbers as 2m, 2n and 2p.

So the sum = 2m + 2n + 2p

= 2(m + n + p).

This proves it because the sum is a multiple of 2 and must be even.

You might be interested in

Find x - and - y intercepts of the following equation. a. 4x - 3y = 12 b. y = 1/3x c. y = 2x + 5 d. y = 6

saw5 [17]

✒️ Equation

••••••••••••••••••••••••••••••••••••••

A. To find the x - intercept, let y = 0.

$\tt \: \: \large \tt \: \begin{array}{|c|} \hline \tt \: 4x \: - \: 3y \: = \: \tt\underline{\green{ 12 }} \\ \tt 4x \: - \: 3(0) \: = \: \tt\underline{\blue{ 12 }} \\ \tt4x \: - \: 0 \: = \: \tt\underline{\pink{ 12 }} \\ \tt \tt\underline{\red{ \: x \: = \: 3 }} \\ \\ \tt \: x ↬\: the \: intercept\\ \tt\\ \hline\end{array} \: \\$

$\\$

To find the y - intercept, let x = 0

$\large \tt \: \begin{array}{|c|} \hline \tt 4x \: - \: 3y \: = \: \tt\underline{\green{ 12 }} \\ \tt 4(0) \: - \: 3y \: = \: \tt\underline{\blue{ 12 }} \\ \tt \: 0 \: - \: 3y \: = \: \tt\underline{\pink{ 12 }} \\ \tt \tt\underline{\red{ y \: = \: - 4 }} \\ \\ \tt \: x ↬\: the \: intercept \\ \ \\ \hline\end{array} \:$

$\\$

B. Replace x with 0 and solve for y. Then replace y with 0 and solve for x.

$\large \tt \: \begin{array}{|c|} \hline \tt y \: - \: intercept: \: y \: = \: \frac{1}{3}(0) \\ \quad \quad \quad \quad \quad \quad \quad \quad \quad \tt = \tt\underline{\red{ 0 }} \\ \\ \tt \: x \: and \: y ↬ intercepts: (0,0)\\ \\ \tt \: x \: ↬ \: intercepts: \: 0 = \: \frac{1}{3} x \\ \quad\quad \quad \quad\quad\quad\quad\quad\quad \: \tt \tt\underline{\red{ \: 0 \: = \: x }} \ \\ \\ \hline\end{array} \\$

$\\$

The equation in b is a linear equation in the form y = mx, where m is any real number. the graph of any equation in the form y = mx is always a line that passes through the origin, which means that both the x - and - y - intercepts are (0,0).

$\large \tt \: \begin{array}{|c|} \hline \tt intercept \: for \: m \: of \: y \: = \: \tt\underline{\red{ mx }} \\ \hline\end{array}$

$\\$

C. Replace y with 0, then solve for the x.

$\large \tt \: \begin{array}{|c|} \hline \tt x ↬ \: intercept : \: 0 \: = \: 2x \: \ + 5 \\ \\ \tt - 5 \: = \: 2x\\ \\ \tt \: \frac{ - 5}{2} \: = \: x\\ \\ \tt \: x \: ↬ \: intercept \ \\ \hline\end{array}$

Now, replace x with 0, and then solve for y.

$\large \tt \: \begin{array}{|c|} \hline \tt y ↬ \: intercept: \: y \: = \: 2(0) \: + \: 5 \\ \\ \tt \: y \: = \: 0 \: + \: 5 \\ \\ \tt \: y \: = \: 5 \\ \\ \tt y ↬ \: intercept \ \\ \\ \hline\end{array}$

The equation in 11c is written in the form y = mx + b. note than in the form, when x is replaced by 0 to find the y↬intercept. you are left with the constant b.

$\large \tt \: \begin{array}{|c|} \hline \tt \: the \: y ↬ intercept \: of \: y \: = \: mx \: + \: b \\ \hline\end{array}$

If the equation is in the form y = mx + b, where m and b are real numbers, then the y ↬intercept is b.

$\\$

D. Remember that the graph of y = 6 is horizontally line parallel to the x axis that passes through the y axis at (0,6). since the line is parallel to x axis, it will not incest tha x-axis. Hence, there is no x ↬ intercept.

$\\ \\ \\$

$\pmb{(ノ‥)ノ}\qquad\qquad\qquad\qquad\boxed{\tt{[05-12-2022]}} \\ \qquad\qquad\qquad\qquad\qquad\qquad\boxed{\tt{[03:11 \: am]}}$

7 0

2 years ago

What is an estimate of 37.9% of 192.3?<br> A 57<br> B 02<br> C 80<br> D 100

lapo4ka [179]

Answer:

C.80

Step-by-step explanation:

37.9% of 192.3

=37.9/100 × 192.3

=0.379×192.3

=72.8817

≈80 (possible answer)

5 0

2 years ago

2. Solve this inequality. Show your work. 5.6+2.2.x > 65.6-1.8x

Nitella [24]

Answer: x>15

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality:

(56/10)+(22/10)*x-((656/10)-(18/10)*x)>0

Simplify 9/5

56 22 656 9

(——+(——•x))-(———-(—•x)) > 0

10 10 10 5

Simplify 328/5

56 22 328 9x

(——+(——•x))-(———-——) > 0

10 10 5 5

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

328 - (9x) 328 - 9x

—————————— = ————————

5 5

56/10+22/10.x/5)) >0 (328 - 9x)

Simplify 11/5

56/10+11/5.x/5))->0 (328-9x

Simplify 28/5

28 11x (328 - 9x)

(—— + ———) - —————————— > 0

5 5 5

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

28 + 11x 11x + 28

———————— = ————————

5 5

(11x + 28) (328 - 9x)

—————————— - —————————— > 0

5 5

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(11x+28) - ((328-9x)) 20x - 300

————————————————————— = —————————

5 5

Pull out like factors :

20x - 300 = 20 • (x - 15)

20 • (x - 15)

————————————— > 0

Multiply both sides by 5

Divide both sides by 20

Solve Basic Inequality :

Add 15 to both sides

x > 15

4 0

3 years ago

Read 2 more answers

in the formula d=rt is rate t is time and d is distance what is the rate for a runner who completes 7.5 miles in 1.5 hours

Alchen [17]

R=d/t
r=7.5÷1.5=5
....................

5 0

3 years ago

Question 3 Solve for m. 4 over 3 m equals 4

Lorico [155]

Answer:

$m = 3$

Step-by-step explanation:

$\frac{4}{3} m = 4 \\ divide \: both \: sides \: by \: \frac{4}{3} \\ \\ m = 3$

3 0

3 years ago