All categories

2 years ago

the sum of two consecutive even integers is greater than or equal to 34 what are the smallest possible integers?

Mathematics

1 answer:

DedPeter [7]2 years ago

3 0

n, n + 2 - two consecutive even integers

the sum of two consecutive even integers is greater than or equal to 34

n + (n + 2) ≥ 34

n + n + 2 ≥ 34

2n + 2 ≥ 34 <em>subtract 2 from both sides</em>

2n ≥ 32 <em>divide both sides by 2</em>

n ≥ 16

<h3>Answer: The smallest possible integers is equal 16.</h3>

You might be interested in

How many more pepperoni pizza were sold than ham pizzas?

Crank

Answer:

20 more pizzas were sold

Step-by-step explanation:

60-40=20

5 0

2 years ago

Read 2 more answers

A 40 meter ladder makes an angle of 32° with the playground. How far is the bottom of the ladder from the base of the playground

postnew [5]

Answer:

33.9 m

Step-by-step explanation:

cos(32) = adjacent/hypotenuse

cos(32) = X/40

X = 40cos(32)

X = 33.92192385 m

4 0

3 years ago

Which shows the following expression using positive exponents?

Hitman42 [59]

Answer:

1. option B is correct i.e., $\frac{-3a^{7}b^3b^1}{15a^{2}}$

2. option D is correct i.e., $\frac{a^3b^4}{ab^2}$ .

3. option B is correct i.e., $\frac{n^{10}}{16m^{6}}$ .

Step-by-step explanation:

1. Since the given equation is:

$\frac{-3a^{-2}b^3}{15a^{-7}b^{-1}}$

As we know that $a^{-x}=\frac{1}{a^x}$

So, the given equation can be represented as:

$\frac{-3a^{7}b^3b^1}{15a^{2}}$

2. Given equation is:

$\frac{a^3b^{-2}}{ab^{-4}}$

As we know that $a^{-x}=\frac{1}{a^x}$

so the given equation can be represented as:

$\frac{a^3b^4}{ab^2}$ .

3. Given equation is:

$(\frac{4mn}{m^{-2}n^6})^{-2}$

by using the properties $a^{-x}=\frac{1}{a^x}$ ,

and $a^x\times a^y=a^{x+y}$

$(\frac{4mn}{m^{-2}n^6})^{-2}$

= $(\frac{4n^1n^{-6}}{m^{-2}m^{-1}})^{-2}$

= $(\frac{4n^{1+(-6)}}{m^{-2+(-1)}})^{-2}$

= $(\frac{4n^{-5}}{m^{-3}})^{-2}$

= $\frac{4^{-2}n^{-5\times (-2)}}{m^{-3\times (-2)}}$

= $\frac{n^{10}}{16m^{6}}$ .

which is option B.

5 0

3 years ago

Read 2 more answers

If f (x)=3x, g(x)=x-3, and h(x)= square root of x, find (fogoh)(25)

Lelu [443]

(f o g o h)(x) = f { g [ h(x) ] }

Which means: apply first function h, then apply function g to the result, and finally apply function f to the new result.

h(25) = √25 = 5

g(5) = 5 - 3 = 2

f(2) = 3(2) = 6.

Answer: 6

8 0

3 years ago

In a survey of 295 people , 23% said they live in an apartment, about how many people surveyed live in an apartment?

ankoles [38]

Answer:

67.85%

Step-by-step explanation:

Find 23% of 295.

<em>Hope this helps u :)</em>

7 0

2 years ago