All categories

3 years ago

The sum of three consecutive natural numbers is 540, find the numbers.

Mathematics

1 answer:

vladimir1956 [14]3 years ago

5 0

Answer:

179, 180, 181

Step-by-step explanation:

a +a +1 +a +2 =540

3a +3 =540

3a =540 - 3

3a=537

a=537 :3

a=179 (the first number

b=179 +1 =180 (the second number

c=179 +2 =181 (the third number

You might be interested in

F(x)=x^3 −9x <br> What is the average rate of change of over the interval [1,6]?

Inga [223]

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ 1, 6 ], thus

f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162

f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8

average rate of change = $\frac{162-(-8)}{6-1}$ = $\frac{170}{5}$ = 34

8 0

3 years ago

What is the length of the hypotenuse of triangle ABC? Round your answer to the nearest tenth. A) 2.5 m B) 4.3 m C) 5.5 m D) 18.2

Natasha2012 [34]

Hypotenuse= $\sqrt{1.5^{2}+ 4^{2} }$
=4.27

7 0

3 years ago

Which table shows a proportional relationship between x and y?

Semenov [28]

Answer:

Step-by-step explanation:

A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.

<u>Table A</u>

$\frac{12}{3} \neq \frac{15}{6} \neq \frac{18}{8} \neq \frac{20}{10}$

These fractions are not equal. This is not proportional.

<u>Table B</u>

$\frac{0.5}{1}=\frac{1}{2} =\frac{3.5}{7} =\frac{4}{8}$

These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.

<u>Table C</u>

$\frac{1}{3}\neq \frac{2.5}{7.5} \neq \frac{4}{15} \neq \frac{6}{20}$

These fractions are not equal. This is not proportional.

<u>Table D</u>

$\frac{7}{2} \neq \frac{9}{3}\neq \frac{11}{4} \neq \frac{13}{5}$

These fractions are not equal. This is not proportional.

3 0

3 years ago

a wildlife center presents a program about birds of prey. the center charges a basic fee of $325 and an additional fee for each

Rainbow [258]

The exhibition of 7 birds will cost $2,450

<h3>How to calculate the total cost ?</h3>

The wildlife center charges a basic fee of $325 for a bird exhibition

When 5 birds were exhibited, $125 additional fee was charged

The additional fee for a bird is

= 125/5

= 25

Therefore the total cost of exhibiting 7 birds can be calculated as follows

= 325 + 25

= 350

350 × 7

= 2,450

Hence the total cost for the exhibition of 7 birds is $2,450