All categories

2 years ago

The greater of two consecutive integers is seven less than one-third the smaller integer. Find the integers

Mathematics

1 answer:

ikadub [295]2 years ago

8 0

Answer:

Step-by-step explanation:consecutive integers are represented by x, x+1 , so for this problem the greater one is represented by x + 1.

Now you need to translate the problem. the greater is seven less than 1/3 the smaller

---> x + 1 = (1/3)*x - 7 ---> now solve for x (the smaller) and x+1 (the greater)

***hint: to get rid of fractions in an equation you can always multiply EVERYTHING by the denominator , 3 in this case

You might be interested in

Can y’all please help me answer these questions

mario62 [17]

Step-by-step explanation:

⇒ $V = \pi r^{2}h$

⇒ $V = \pi(10)^{2}(40)$

⇒ $V = 4000\pi$

⇒ $V = 12566.4cm^{3}$

⇒ $V = \frac{1}{3}\pi r^{2}h$

⇒ $V = \frac{1}{3}\pi (8)^{2}(h)$

As we know the radius and slant height, we can use Pythagoras' Theorem to find the perpendicular height.

⇒ $a^{2} + b^{2} = c^{2}$

⇒ $(8)^{2} + h^{2} = 20^{2}$

⇒ $h = \sqrt{20^{2} - 8^{2}}$

⇒ $h = 4\sqrt{21}$

Now substitute this into the volume formula.

⇒ $V = \frac{1}{3}\pi (8)^{2}(4\sqrt{21})$

⇒ $V = \frac{256\sqrt{21} }{3}\pi$

⇒ $V = 1228.5mm^{3}$

⇒ $V = l^{3}$

⇒ $V = (3.1)^{3}$

⇒ $V = 29.8inches^{3}$

⇒ $V = \frac{1}{3}lwh$

⇒ $V = \frac{1}{3}(12)(4)(6)$

⇒ $V = 96inches^{3}$

6 0

3 years ago

Read 2 more answers

II.) Simplify the following by applying the laws of indices.

Alik [6]

S I took a test and got it right

8 0

3 years ago

If Jon needs to find the value of cos P in △PQR<br> , which of the following ratios should he use?

viva [34]

Answer:

Pr/ok

Step-by-step explanation:

4 0

3 years ago

Find sin theta if cot theta =-4 and cos theta < 0

asambeis [7]

Imagine the unit circle. The cot(theta) is a line from (0,1) to (-4,1). Imagine it is part of a triangle with the origin (draw it!).

Then the hypotenuse length is √(1+4²) = √17.

The sine rule says that sin(90)/√17 must equal sin(theta)/4, and sin(90)=1, so

$sin(\theta) = \frac4{\sqrt{17}}$

3 0

3 years ago

Read 2 more answers

Find the equation of the line that goes through (1, 2) and (3, 4).

Likurg_2 [28]

I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.I have no idea. Just wasting your points like you do to everyone else.

8 0

3 years ago