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4 years ago

Find three consecutive even integers with a sum of 168

Mathematics

2 answers:

Semmy [17]4 years ago

7 0

168=n+(n+2)+(n+4)
168=3n +6
168 - 6 = 3n
162/3=n
54=n

integer 1: 54
integer 2=n+2=56
integer 3=n+4=58

Marat540 [252]4 years ago

6 0

(x) + ( x + 2 ) + ( x + 4) = 168

3x + 6 = 168

x + 2 = 56

x = 54

so the numbers is 54, 56, 58

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Classify each polynomial by its degree and bt its number of terms (i.e. cubic or degree=3; trinomial. (a) 5x^4-8 (b) 4a^2-2a-16

lord [1]

Answer:

a. 4th degree binomial

b. 2nd degree trinomial

c. 3rd degree monomial.

Step-by-step explanation:

In order to find each of these, start by writing the degree based on the highest exponent. The work for a is done for you below.

5x^4 - 8

This means it is a 4th degree.

Now we can decide what the final word is based on how many terms there are. In this one there is 2, so we call it a binomial.

4th degree binomial.

3 0

4 years ago

The volume of the prism shown below is 140 cubic meters. Find the height of the prism

Tema [17]

Answer:

Step-by-step explanation:

First multiply 7 and 4

7 * 4 = 28

Then divide 140 by 28

140/28 = 5

Height is 5

7 0

3 years ago

If y varies directly as x and given y =9 when x= 5, fInd:

True [87]

Step-by-step explanation:

The statement

y varies directly as x is written as

<h3> $y \: \: \alpha \: \: x$ </h3>

So we have

First of all we must find the relationship between them

when

x = 5 and y = 9

We have

9 = 5k

Divide both sides by 5

$k = \frac{9}{5}$

So the equation for the variation is

$y = \frac{9}{5} x$

when x = 15

$y = \frac{9}{5} \times 15 \\ = 9 \times 3$

We have the answer as

when y = 6

$6 = \frac{9}{5} x \\ 30 = 9x \\ x = \frac{30}{9}$

We have the answer as

$x = \frac{10}{3}$

Hope this helps you

5 0

3 years ago

After reaching the top of a cliff a rock climber descended the rock face using a 65 ft rope the distance to the base of cliff wa

suter [353]

Answer:

The required number of ropes is 9.

Step-by-step explanation:

The length of rope is 65 ft.

The distance to the base of cliff was 585 ft.

Let the number of ropes or same lengths did it take climber to reach descent be x.

$65\times x=585$

Divide both sides of 65.

$x=\frac{585}{65}$

$x=9$

Therefore the required number of ropes is 9.

4 0

3 years ago

1. f(x) = 8 + 11x, Find f-1 (-47)<br> (Finding inverse functions given an input)

zavuch27 [327]

Answer:

f^-1(-47) = -5

Step-by-step explanation:

You want to find the value of x that gives f(x) = -47.

-47 = 8 + 11x

-55 = 11x

-5 = x

Then f^-1(-47) = -5.

3 0

3 years ago