All categories

2 years ago

The sum of two consecutive negative integers is -171. What is the number closest to zero?

1 answer:

6 0

Consecutive numbers are always 1 away from each other
3,4

so consecutive is represented by
x and x+1
so sum is -171
x+x+1=-171
add like terms
2x+1=-171
subtract 1 from both sides
2x=-172
divide both sides by 2
x=-86
subustitute
x+1=otehr number
x+1=-86+1=-85
answer is -85 and -86

You might be interested in

Check all that apply: If cos theta = 15/17 then:

marishachu [46]

If Cos theta = 15/17, then
Sec theta = 17/15 because cosine and secant are reciprocal functions.
Letter A

3 0

2 years ago

Read 2 more answers

There are three motors available to repair Ralph’s vacuum cleaner. Motor #1 has a 65% chance of breaking by the end of the week.

Orlov [11]

Answer:

0.619

Step-by-step explanation:

from the question we have the following data:

probability of motor 1 breaking = 65% = 0.65

probability of motor 2 breaking = 35% = 0.35

probability of motor 3 breaking = 5% = 0.05

since we have 3 motors the probability of any of them breaking down is = $\frac{1}{3}$

but what the question requires from us is the conditional probability of the first one being installed

we have to solve this questions using bayes theorem

such that:

$\frac{0.65*\frac{1}{3} }{0.65*\frac{1}{3}+0.35*\frac{1}{3}+0.05*\frac{1}{3} }$

= $\frac{0.2167}{0.2167+0.1167+0.0167}$

= $\frac{0.2167}{0.3501}$

= 0.618966

approximately 0.619

therefore the conditional probability ralph installed the first motor is 0.619

8 0

3 years ago

How does the length of the hypotenuse in a right triangle relate to the lengths of the legs?

STALIN [3.7K]

It holds the legs up. there is a right angle which is the little box in the 90 degree corner:) the hypotenuse is always the longest part on the triangle which you can not simplify:) so the right triangle has legs that you can simplify:)

6 0

2 years ago

Which of these graphs represents a function?

Vlada [557]

Answer:

${ \tt{graph \: y \:and \:graph\: z}}$

8 0

2 years ago

a cylinder with base are 169π ft^2 and a height twice the radius. what is the lateral area and surface area of the cylinder

Morgarella [4.7K]

$Area\ of\ base:A_B=169\pi\ ft^2\\\\A_B=\pi r^2\ \ \ (r-radius)\\\\\pi r^2=169\pi\ \ \ /:\pi\\\\r^2=169\\\\r=\sqrt{169}\\\\r=13\ (ft)\\\\H=2r\to H=2\cdot13=26\ (ft)$

$
lateral\ area:A_L=2\pi rH\\\\A_L=2\pi\cdot13\cdot26=676\pi\ (ft^2)\\\\Surface\ area:A_S=2A_B+A_L\\\\A_S=2\cdot169\pi+676\pi=338\pi+676\pi=1014\pi\ (ft^2)$

5 0

2 years ago

Read 2 more answers