how are adding and subtracting two rational numbers with different signs related to adding and subtracting two integers with different signs.​

Answers

Answer 1

Answer:

Step-by-step explanation:

it is related as all integers are rational numbers

Answer 2

The required solution is integers are rational numbers.

It is required to find the solution.

What is real number?

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Solution:

They are related because most of the integer numbers are similar to rational numbers. Also, when subtracting, it is basically like adding a negative number which is a integer. They are related because the equations have both integer and rational numbers in it.

∴It is related as all integers are rational numbers.

Therefore, the required solution is integers are rational numbers.

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Related Questions

Which equation matches the following graph?

Answers

Answer: y = | x-2 | - 1

Step-by-step explanation:

If you graph or look at the numbers included, they match up with the one provided

Which statement about rational numbers is true?
All rational numbers are fractions.
Rational numbers never have repeating decimals.
Some integers are not rational numbers.
All fractions containing integers are rational numbers.

Answers

Answer:

the true one is all fractions containing integers are rational numbers is true

Step-by-step explanation:

i think

Answer:

All fractions containing integers are rational numbers.

Step-by-step explanation:

There are 15 pens and 10 pencils in a box. One object is selected at random and then replaced. Another is the selected. Find the probability that:

1. The first object selected is a pen and the second is a pencil
2. One is a pen and the other is a pencil
3. Both are pencils
4. At least one is a pen

Four questions in total

Answers

Step-by-step explanation:

1. P(pen then pencil) = 15/25 × 10/25 = 3/5 × 2/5 = 6/25

2. P(pen then pencil) + P(pencil then pen) = 6/25 + 6/25 = 12/25

3. P(pencil then pencil) = 10/25 × 10/25 = 2/5 × 2/5 = 4/25

4. P(at least 1 pen) = 1 − P(no pen) = 1 − 4/25 = 21/25

write 8 is the whole number 11 is the
numerator and 20 is the denominator ​

Answers

Answer:

Fraction: 8 [tex]\frac{11}{20}[/tex]

Decimal: 8.55

Step-by-step explanation:

8 11/20 is the answer because:

1) Since 8 is the whole number, 8 wouldn't be part of the fraction

2) The numerator is the top number in the fraction, so 11 is at the top since 11 is the numerator

3) The denominator is the bottom number in the fraction, so 20 is at the top since 20 is the denominator

8.55 is the answer because:

1) Since 8 is the whole number, 8 would be in front of the decimal point

2) When you multiply the fractions, you have to multiply until you get a hundred. Therefore, 20*5 = 100 and 11*5 = 55

Hope this helps!

Nelly and her famliy went on vacation to a beach resort. there are 4 large buildings. each building has 8 floors, with 27 rooms on each floor, One of the buildings is getting new carpet, and will not be available. how many rooms are available for Guests?
1) 548
2) 648
3) 448
4) 628

Answers

Answer:

648 floors.

Step-by-step explanation:

Since there are 4 large buildings and 1 would be unavailable, there would be three left. You multiply. 3 x 8 x 27 = 648 !

I believe the answer is 648

Determine the slope of a line containing the points
C (1,8) and D (3, 3). Write your answer in the form of a
fraction.

Answers

Answer:

The answer is

[tex] - \frac{5}{2} [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{y _{2} -y _{1}}{x _{2} - x _{1}} [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C (1,8) and D (3, 3)

The slope is

[tex]m = \frac{3 - 8}{3 - 1} = \frac{ - 5}{2} [/tex]

We have the final answer as

[tex] - \frac{5}{2} [/tex]

Hope this helps you

Answer:

-5/2

Step-by-step explanation:

the answer is

7
(a) Olivia deposits $8600 in a bank. The interest rate is 2.6% per annum.
Find the total interest she will earn in 4 years.

Answers

Answer:

Below in bold.

Step-by-step explanation:

You do not say if the interest is simple or compound.

Simple Interest: I = PRT/100

= (8600* 2.6 * 4)/ 100

= $894.40.

Compound Interest:- amount after 4 years

= 8600(1 + 0.026)^4

= $9529.89

So the compound interest

= 9529.89 - 8600

= $929.89.

can someone please help me:/!!! i’m a sophomore in hs, this is integrated math 2 chapter 2 test!

Answers

Answer:

Corresponding angles

Step-by-step explanation:

Corresponding angles are formed when two lines are crossed by another line (which is called the Transversal) So , the angles in matching corners are called corresponding angles.

The formula a = m – n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon n. A. n = a + m B. n = m – a C. n = a – m D. n = – m – a

Answers

Answer:

n = m - a

Step-by-step explanation:

Given that:

The expression of the formula  a = m - n

where;

a = actual cost of an item

m = original price

n = amount of coupon in dollars

The objective is to solve for the amount of the coupon.

In order to determine the amount of the coupon, we need to make n which is the amount of coupons in dollars the subject of the formula from the given expression.

So if a = m - n

a + n = m

n = m - a


The perimeter of a square is 60. If one side length of the square is X-4, then what is the value of x

Answers

Answer:

X= 19

Step-by-step explanation:

If you take 4 away from 19, it equals 15, the perimeter is all sides of the square. Which is 4 sides, 15 x 4 = 60 or 15+15+15+15. The formula for perimeter is all the sides added together.

need help with this question.. PLEASE HELP!

Answers

x + 84 = 4x

These are equal because they're vertical angles. Now, let's subtract x from both sides.

84 = 3x

Divide both sides by 3

28 = x

x + 84 = 28 + 84 = 112 degrees

Now, graph the equation x - 2y = 7 below the
equation 8x - 4y = 56
What are the coordinates for x and y at the
intersection of the two lines?

Answers

Answer:

(7,0)

Step-by-step explanation:

Find the sum of the first 15 terms of an ap whose 1st and last term are -4 and 46 respectively?

Answers

#1, ok
#2, no
first year --- 8 = 8*2^0
2nd year --- 16 = 8*2^1
3rd year --- 32 = 8*2^2
...
6th year ---- ??

#3 >>>

ana wants to paint her dogs doghouse. she has 4 colors: Green,Maroon,blue and wheat. one color will cover the walls and another color will be us for the trim.(for example, green walls with wheat trim=GW). which of these answers show all the possible color conbination

Answers

Answer:

Step-by-step explanation:

Let us take this one by one. One color can pair with three colors.

Green = Maroon, Blue, Wheat = GM, GB, GW

Maroon = Green, Blue, Wheat = MG, MB, MW

Blue = Green, Maroon, Wheat = BG, BM, BW

Wheat = Green, Maroon, Blue = WG, WM, WB

So the combinations are:

GM, GB, GW, MG, MB, MW, BG, BM, BW, WG, WM, WB

Which is letter B.

Answer:

A.

Step-by-step explanation:

Work out the height of a triangle with base,
base = 6.3mm and area,
Area = 35.595mm squared.

Answers

Step-by-step explanation:

formula used is height= area×3/base

35.595×2/6.3

71.19/6.3

11.3mm2 is the answer

Answer:

[tex] \huge{ \fbox{ \sf{11.3 \: mm}}}[/tex]

Step-by-step explanation:

[tex] \underline{ \sf Given} : [/tex]

[tex] \star{ \sf{ \: Base \: of \: a \: triangle \: (b) \: = 6.3 \: mm}}[/tex]

[tex] \star{ \sf{ \: Area \: of \: a \: triangle \: (a) = 35.595 \: {mm}^{2} }}[/tex]

[tex] \star{ \sf{ \: Let \: height \: of \: a \: triangle \: be \: h}}[/tex]

[tex] \underline{ \underline{ \sf{ \: Finding \: the \: height \: of \: a \: triangle}}} : [/tex]

[tex] \boxed{ \sf{Area \: of \: a \: triangle = \frac{1}{2} * base \: * \: height}}[/tex]

[tex]\sf{Plug \: the \: values}[/tex]

[tex] \mapsto{ \sf{35.595 = \frac{1}{2} * 6.3 * h}}[/tex]

[tex] \mapsto{ \sf{35.595 = \frac{6.3h}{2} }}[/tex]

[tex] \sf{Apply \: cross \: product \: property}[/tex]

[tex] \mapsto{ \sf 6.3h = 35.595 * 2}[/tex]

[tex] \mapsto{ \sf{6.3h = 71.19}}[/tex]

[tex] \sf{Divide \: both \: sides \: by \: 6.3}[/tex]

[tex] \mapsto{ \sf{ \frac{6.3h}{6.3} = \frac{71.19}{6.3}}} [/tex]

[tex] \mapsto{ \sf{h = 11.3 \: mm}}[/tex]

The height of a triangle = 11.3 mm

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

I don’t understand this

Answers

Answer: a=x represents sinks

b=the amount of money he will spend overall on the sink and sealent

c= 100x represents 100 sinks

d=joe will have to charge 85 dollars per sink

Step-by-step explanation:

Jerry is counting his shirts. he notices that for every 5 black t-shirts in his drawer he has two red t-shirts. if he owns 28 t-shirts how many black t-shirts does jerry own?

Answers

Answer:

20

Step-by-step explanation:

The formula for the volume of a cylinder is v=piR^2h where v is the volume, R is the radius, and h is the height solve the formula for R and then use it to answer the question.

A cylindrical bucket contains 615 cubic inches of water. The height of the water is 4 inches

What is the radius of the bucket, to the nearest whole number? Use 3.14 for pi

Answers

Answer: Its 6

Step-by-step explanation: The answer is 5.99894 then you round it to 6.

The radius of the bucket, to the nearest whole number, is 7 inches.

So, option A. is correct.

Here, we have,

To solve the formula v = πR²h for R, we can rearrange the equation as follows:

v = πR²h

R² = v / (πh)

R = √(v / (πh))

Given that the volume v is 615 cubic inches and the height h is 4 inches, we can substitute these values into the equation:

R = √(615 / (3.14 * 4))

Calculating the value, we have:

R ≈ √(48.98)

R ≈ 7

Therefore, the radius of the bucket, to the nearest whole number, is 7 inches.

Hence, So, option A. is correct.

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What number should be placed in the box to help complete the division calculation. Pls help

Answers

Answer:

I believe it would be 4

Which is greater, 11/16 or 24/32?

Answers

11/16=0.6875

24/32=0.75

0.75 is greater than 0.6875 so 24/32 is greater than 11/16

Answer:

24/32

Step-by-step explanation:

24/32 is the answer because:

1) We should first try to see if we can find a common denominator so it is easier to compare and find the larger number

2) The common denominator is 32 because 16 multiplied by 2 is 32 and 11 multiplied by 2 is 22. The new fraction is 22/32

3) Finally, compare 22/32 and 24/32, we know that 24 is bigger than 22. Therefore, 24/32 is greater than 11/16

Hope this helps!

An ounce of silver is worth $20.16 per ounce. How much is 13.5 ounces of silver worth?

Answers

Answer:

13.5 ounces of silver is worth $272.16

Step-by-step explanation:

since it is $20.16 per ounce, simply multiply 20.16 and 13.5 to get 272.16

Step-by-step explanation:

Times 20.16 by 13.5 and you will get 272.16

An engine uses 2.25 gallons of gas per hour. How many gallons will it use in 3.2 hours?

Answers

Answer:

7.2 gallons

Step-by-step explanation:

2.25 x 3.2 = 7.2

Answer:

7.2

Step-by-step explanation: :>

how you know when you need to add parenthesis in an expression

Answers

Answer:

rjeov oke eieie

Step-by-step explanation:

Please help quick!!!!​

Answers

Answer:

they all fit correctly

Solve.

-15 = -0.2k

k =

Answers

-0.2k = -15 ( then divide -0.2k on both sides)

The answer is then k= 75

Question 5 of 10
Solve 2x + 4 > 16.
O A. x<10
O B. x> 10
O C. x>6
O D. x< 6

Answers

Answer:

C

Step-by-step explanation:

2x +4 > 16

If you plug in 6 where the x is, and multiply 2 by 6, you get 12. Add 4 to 12 to get 16. If x is 6 it equals 16, so if x > 6 the answer will be more than 16.

Savannah can run 1/2 mile in 300 seconds. What is
Savannah's unit rate?
10 mile per minute
2 1/2 mile per minutes
2/5 mile per minutes
1/10 mile per minute

Answers

1/10 miles per minute because it took her 5min to run 1/2

The required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.

What is the unit rate?

A unit rate is a rate in which the second term is 1. In other words, a unit rate is a rate that compares two quantities, with the second quantity being expressed as 1. Unit rates are often used to express a rate per unit of measurements, such as price per item, speed per hour, or cost per pound.

here,
As given in the question Savannah can run 1/2 mile in 300 seconds to evaluate the unit rate we must convert the time given second in minutes by dividing it by 60,
300 seconds = 300/60 = 5 minutes

Now,

Unit rate = 1/2 mile: 5 minutes
Unite rate = 1/10 mile per minute

Thus, the required unit rate of the Savannah run is given as 1/10 mile per minute. Option D is correct.

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Evaluate each expression if a = -2, b=3, and c = 4.2.

1. a – 2b + 3c

2. 2a + (6 + 3)^2

Answers

Answer:

2.677

Step-by-step explanation:

1) a-2b+3c

(-2)-2(3) +3(4.2)-4-6+12.6-10+12.62.6

2) 2a+(6+3)²

2(-2)+(9)²-4+8177

solve for 2(5y-1)=28

Answers

answer: x=3

you divide both side by 2

need help with my words in vocab​

Answers

Okey. But how and where
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