All categories

3 years ago

Two consecutive numbers have a sum of 346. What are the numbers?

Mathematics

1 answer:

seraphim [82]3 years ago

7 0

Answer:

81,82,83

Step-by-step explanation:

What three consecutive integers have a sum of 246? Which means that the first number is 81, the second number is 81 + 1 and the third number is 81 + 2. Therefore, three consecutive integers that add up to 246 are 81, 82, and 83.

You might be interested in

the hu family goes out for lunch, and the price of the meal is $43. The sales tax on the meal is 6%, and the family also leaves

Anna007 [38]

Answer:

Step-by-step explanation:

43.00x.06=2.58

43.00x.15=6.45

43.00+2.58+6.45=54.03

6 0

3 years ago

Yuri has 12 counters He put them in 2 equal group How many counters are in each group

Andrej [43]

Answer: 6

Step-by-step explanation:

Counter= *

All of counters

************

group one Group Two

****** ******

8 0

3 years ago

P(x)= 3x^3-5x^2-14x-4

nexus9112 [7]

$\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\
$

$\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)$

$\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm \sqrt{4+16}}{2}=\frac{2\pm \sqrt{20}}{2}=\frac{2\pm 2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}$

7 0

3 years ago

Write a multiplication fact that goes with this division fact. 30 ÷ 5 = 6

34kurt

5 times 6 = 30 hope this helped

8 0

3 years ago

Read 2 more answers

Find the coordinates of the point 7/10 of the way from A to B

OverLord2011 [107]

Answer:

(6.8, 1.3)

Step-by-step explanation:

Given:

A(-3, -5), B(11, 4)

Find:

P such that AP/AB = 7/10

Solution:

Using the desired relation, we have ...

(P -A)/(B -A) = 7/10

10(P -A) = 7(B -A) . . . . . multiply by 10(B-A)

10P = 7B +3A . . . . . . . . add 10A to both sides

10P = 7(11, 4) +3(-3, -5) = (77 -9, 28 -15) = (68, 13)

P = (68, 13)/10 = (6.8, 1.3)

The point 7/10 of the way from A to B is (6.8, 1.3).

7 0

3 years ago