Which sets of numbers are closed under addition?Choose all answers that are correct.

A.
whole numbers

B.
natural numbers

C.
negative integers

D.
integers

Answers

Answer 1
Answer: C and D
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Related Questions

1/4 (3x-16)+1/4x=5 1/3
Becky adds 3/4 gallon of gasoline into her snow thrower's empty fuel tank. She uses 1/4 gallon for the snowstorm on Friday, and then uses another 1/4 gallon for the snowstorms on Sunday. Is the fuel tank empty after becky uses the snow thrower on Sunday? Explain. If her fuel tank is not empty again, what single action could have been changed so that it is empty again? Explain.
1. Solve x2 + 8x - 6 = 0 using the Quadratic Formula.
three friends are holding a car wash and agree to split the profits equally. they purchase supplies for $75. if their income is $450, how much is each person's share of the profit.
Ramon toll pass account has a value of $32. Each time he uses the toll road, $1.25 is deducted from the account. when the value drops below $10, he must add value to the toll pass, what's an inequality that represents how may times Ramon can use the the toll pass without having to add any value to the toll pass?

recall that two angles are comlementary if the sum of their measures is 90. find the measures of two complementary angles if one angle is twenty-nine times the other angle.

Answers

Answer:

First angle is 3 degree

Second angle is 87 degree

Step-by-step explanation:

Let's assume

second angle is x

we are given

one angle is twenty-nine times the other angle

so, first angle is

=29x

we know that these two angles are complementary

so, the sum of their measures is 90

First angle + second angle =90

x+29x=90

30x=90

x=3

now, we can find second angle

Second angle is

=29* 3

=87

So,

First angle is 3 degree

Second angle is 87 degree

What is 8(x+12)=2(5x+9)

Answers

8(x+12)=2(5x+9)
8x+96=10x+18
2x+18=96
2x=78
x=39
8(x+12)=8x+96
2(5x+9)= 10x+18
8x+96=10x+18
     -18        -18
---------------------
  8x+78= 10x
 - 8x       -8x
-----------------
78=2x
78÷2=36

50 POINTS!!!!A company makes cylindrical cans for peaches. Each can has a radius of 4 centimeters and a height of 12 centimeters. The company plans to increase the
volume of each can by 25%.

a) What will be the height of the new can if the radius remains the same?

b) What will be the radius of the new can if the height remains the same?

*Please show your work*

Answers

Volume = πr²h

V = π × 4² × 12
V = π × 16 × 12
V = 192π

Original Volume = 192
π 

25% = 0.25
0.25 × 192 = 48

New Volume = Old Volume + 25% Old Volume
New Volume = 192π + 48π
New Volume = 240π

25% = 0.25
12 × 0.25 = 3

New Height = Old Height + 25% Old Height
New Height = 12 + 3
New Height = 15

V = πr²h
240π = π × r² × 15
240 = 15r²
16 = r²
√16 = √r²
4 = r

New Radius = 4
25% as a decimal is 0.25
multiply 12 and 0.25  12 X 0.25 = 3
add 2 and 3 2+3=5

So that makes the new height 15

the new radius is 4:46

Which theorem proves that ΔMNO = ΔQPO?

Answers

Answer:

C. is the correct answer.


A father requires his son to do chores for 4 to 6 hours a week. If the son wants to dochores daily, how many hours per day is this (in interval notation)?

Answers

Answer:

I believe the answer is the first one [4/7 ,6/7].

I used process of elimination

The fourth one is unreasonable and impossible.

The third one is more than the weekly requirement.  

The second one is the weekly requirement.

The first one would have to be in reason because of that.

Multiply the binomials (3x - 5) and (4x + 6).

Answers

Answer:

12x² - 2x - 30

Step-by-step explanation:

When multiplying binomials, remember to follow the FOIL method:

FOIL =

First

Outside

Inside

Last

Follow FOIL: (3x - 5)(4x + 6)

(3x)(4x) = 12x²

(3x)(6) = 18x

(-5)(4x) = -20x

(-5)(6) = -30

Combine like terms, simplify:

12x² + 18x - 20x - 30

12x² + (18x - 20x) - 30

12x² - 2x - 30

12x² - 2x - 30 is your answer.

~

Answer:

12x²-2x-30=2(6x²-x-15)

Step-by-step explanation:

(3x-5)(4x+6)=12x²-20x+18x-30=

12x²-2x-30=2(6x²-x-15)