You are adding two rational numbers with different signs.how can you tell if the sum will be postitive a negative or zero?

Answers

Answer 1

This is the rhyme that I use:

Same signs add and keep. Different signs subtract. Take the sign or the larger number and you will be exact.

If you have any questions than just ask me.

Related Questions

How do you solve the system of linear equation by multiplying?

5x - 2y = 11
3x + 5y = 19

Answers

5x-2y=11 X=(11+2•2)#5
5x=11+2y X=15#5
X=(11+2y)#5 X=3

3x+5y=19
3•(11+2y)#5+5y=19
(33+6y)#5+5y=19
(33+6y+25y)#5=95#5
33+31y=95
31y=62
Y=2
#significa divisão
•significa multiplicação

The solution set for the system of equations is (3, 2).

What is system of equations?

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought

Given is the system of equations -

5x - 2y = 11

3x + 5y = 19

Multiply Eq.{1} by 3 and Eq.{2} by 5, we get -

15x - 6y = 33

15x + 25y = 95

Now, performing Eq(2) - Eq(1), we get -

15x + 25y - 15x + 6y = 95 - 33

31y = 62

y = 2

x = 11 + 2y/5

x = 15/5

x = 3

Therefore, the solution set for the system of equations is (3, 2).

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Jenna Is 4 Years Older Than Her Sister. The Sum Of Jenna's Age And Her Sister's Age Is 32. How Old Is Jenna?

Answers

Jenna = 18
Sister = 14

The coordinates of quadrilateral EFGH are E(4, 8), F(1, 2), G(6, 1), and H(8, 8). The image of EFGH under dilation is E'F'G'H'.

If the coordinates of vertex E' are (1, 2), what are the coordinates of vertex H'?
No pic is attached

A) (2, 8)
B) (5, 6)
C) (2, 2)
D) (4, 8)

Answers

the answer is (2,2) because the dilation is by 1/4

E goes from (4,8) to (1,2) which equals a 1/4 scale factor ( put lower number over higher number so X = 1/4 and Y = 2/8 which reduces to 1/4)

so H needs to be reduced by 1/4

8/4 = 2

so new coordinate is (2,2)

Answer is C

State whether the graph of each linear relationship is a solid line or set of unconnected points explain your reasoning the relationship between the number of $12 DVDs you buy and the total cost

Answers

Hello! The graph of each linear equation is a set of unconnected points. The thing is that with a solid line, you can have things in-between whole numbers. However, you can’t have a fraction of a movie. Dotted points show that you can’t have in between values and that only whole quantities count.

a student teacher rectangular desk is 30 inches long and 18 inches wide the teachers desk is similar to the student desk and has a length of 50 inches what is the width of the teachers desk ?

Answers

Similar means that the student's desk and the teacher's desk is proportional.

Simplify:
Solve for x.
50*3=5*x
x=30. in.

Added: 30 + 18 + 50 = 98

Hopefully this is correct, if not them sorry, Have a nice day~Nana!~

3x+2y=11 , x+3y=11 substitute

Answers

If you solve the second equations for x it would look like x=11-3y which you then plug into the first equation so it would look like 3(11-3y)+2y=11 and then you would solve for y. What you get for your y you plug into one of the equations and solve for x.

In his will, Mr. Adams left 25% of his estate to his wife and unevenly divided the balance between his son and his daughter.If the son received $36,000 as his share, what was the total value of the estate?

Answers

$108,000 I'm pretty sure

Explain how you can use a straight edge and a compass to construct an angle that is both congruent and adjacent to a given angle

Answers

An adjacent angle is one of two angles that lie next to each other. They both share a common boundary line but do not overlap each other. Congruent angles are angles that are opposite each other. They only share a center point. You construct an adjacent angle and a congruent angle using a straight line and a compass by drawing two congruent angles with the same size angle in both angles. Because both angles are constructed using the same compass measurement; both angles are considered to be both congruent and adjacent.

WILL GIVE BRAINLIEST!

Find the slope of the line shown below.

A) -2

B) 2

C) -1/2

D) 1/2

Answers

The answer should be -1/2.

As we move from left to right, the graph goes thru (0,5) and (2.5,0).
-5
Thus, the "run" is 2.5 and the "rise" is -5. The slope is then m = ------
2.5

or m = -2 (answer).

What is 5 5/8 + 6 1/4

Answers

11.875 in decimal form.

It would be 11 and 7/8 because 5+6=11 and you convert 1/4 to 2/8 so then you do 5/8+2/8=7/8 and 11+7/8=11 and 7/8

What is the equation for the relationship

Answers

the equation is y=0.4 i think

When can you carve out time to study each month or each week

Answers

When you have nothing to do or when you finish your homework then take a break then study then take a break then study. Or don't play video games or watch tv and just study for like 60 minutes and have breaks after every 20 minutes... hope that helps. Also, another way is to tell someone like a roommate parent or sibling to yell at you until you go into your room and study.

write 3x+(2-4x) in standard form

Answers

3x+(2-4x) in standard form is 1x.

I think the answer would be -1 + 2

Write the number in scientific notation: 60,000

Answers

6×10^4
We use 6 because the # has to be greater than or equal to 1 but less than or equal to 10.
10^4=10000
10000×6=60000

To write a number in scientific notation, first, write a decimal point in the number so that there's only one digit to the left of the decimal point.

Next, count the number of places the decimal point would need to move to get back to the original number.

The number of spaces to get back to the original number is the exponent.

Why can I not subtract this pls help

Answers

To subtract this number you should break it down first. Try subtracting $25.00 -12.75 and then take that answer and subtract it by $8.50.

the answer would be 3.75 because you would subtract 12.75 from 25.00 which would be 12.25, then you would subtract 8.50 from 12.25 and you would get 3.75.

25.00 - 12.75 = 12.25
12.25 - 8.50 = 3.75

Farrah’s math grade average is 93.3¯%. How can you represent this repeating decimal as a fraction? 0.3¯

Answers

Farrah’s math grade average = 93.3¯%
Fraction of the repeating decimal 0.3¯ = 3/9 = 1/3
Thus the answer is 1/3.
and if you divide 1/3, yo can check on calculator that we get 0.33333333.... that is repeating decimal.

The repeating decimal as a fraction can be represented as [tex]\mathbf{\dfrac{1}{3}}[/tex]

A repeating decimal is known to be a continuous decimal expressing a number with an indefinite reoccurring part after the decimal point that is not zero.

From Farrah's math grade average score of 93.3%;

the repeating decimal in bold form is 93 + 0.3

[tex]\mathbf{= \dfrac{3}{9}} \\ \\ = \mathbf{\dfrac{1}{3}}[/tex]

Check:

[tex]\mathbf{\dfrac{1}{3}}}[/tex] in decimal results into a repeating decimal 0.33333333

Therefore, we can conclude that repeating decimal as a fraction is represented as [tex]\mathbf{\dfrac{1}{3}}[/tex]

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Order the numbers from least to greatest 7.8 7.88 7.78 7.87 7.77

Answers

7.77, 7.78, 7.8, 7.87, 7.88

2/3 + 1/4 + 4/8= Please help do next day. 50 points

Answers

2/3+1/4+4/8=11/12+4/8=11/12+1/2=17/12

2/3 + 1/4 + 4/8 =

find least common denominator and rewrite the fractions

lets use 24: 24/3 = 8, 24/4 = 6, 24/8 = 3

so 2/3 = 16/24

1/4 = 6/24

4/8 = 12/24

now add them together:

16/24 + 6/24 + 12/24 = 34/24 which becomes 1 and 10/24 reducing to 1 and 5/12

Determine if each pair of ratios or rates are equivalent. Explain your reasoning.
15 out of 20 students own hand-help games;105 out of 160 own hand-held games

Answers

15 out of 20 is 15/20 = 3/4 = 0.75.

105 out of 160 is 105/160 = 0.656....

Which is the greater ratio?

Pine Bluff Middle School is having its annual Spring Fling dance, which will cost $400. The student treasurer reported that the dance fund has $ 75 left over from last year. Each ticket to the dance costs $4. Let t represent the number of tickets sold. Write an inequality to determine how many tickets must be sold to pay for this year's dance.

Answers

First you subtract the current fund from the total cost
400 - 75 = 325
Then you divide 325 by the price of the tickets 4, for the number of tickets needed
325/4= 81.25
Since you can't sell a quarter of a ticket, 81.25 is rounded up to 82
x ≤ 82

The average human body temperature is 98.6 far Fahrenheit.Write 98.6 as a mixed number in simplest form.

Answers

98 3/5 is the correct answer

The answer would be (98 3/5).

Simplify. 4 + 3(10 - 23) A) 8 B) 10 C) 11 D) 12

Answers

4 + 3 * -13
4 - 39
-35

Dr. Sandoval, a farm veterinarian, just weighed a particular pig and found out it is 96 kilograms. The last time she checked, the pig weighed 100 kilograms. What percent lighter is the pig now?

Answers

4% because 100=100% -4 =96

Want 25 points and brainliest?Answer these 5 tough or easy math questions.Warning they're extremely annoying.

1.Solve: (h/4) + 9 = 6 h = _____

2.Solve: (m/-3) + -2 = 11 m = _____

3.Solve: (r/-5) - -6 = 10 r = _____

4.Solve: (z/-4) + -5 = -12 z = _____

5. Solve: (t/-8) - -4 = -6 t = _____

Answers

1. 36/23

2. 3/17

3. 10/17

4. 20/47

5. 32/47

1) h/4 + 9 = 6

You want to isolate h by itself, so subtract both sides by 9.

h/4 = -3

Then, get rid of the denominator, 4, by multiplying both sides by 4 (nit a fraction but as awhole number)

h = -12

2) Apply the same concept to this problem.

m/-3 + (-2) = 11

Distribute the sign over the parenthesis.

m/-3 - 2 = 11

Add 2 to both sides.

m/-3 = 13

To get rid of the denominator, multiply both sides by -3

m = -39

3) r/-5 - (-6) = 10

r/-5 + 6 = 10

r/-5 = 4

r = -20

4) z/-4 + (-5) = -12

z/-4 - 5 = -12

z/-4 = -7

z = 28

5) t/-8 - (-4) = -6

t/-8 + 4 = -6

t/-8 = -10

t = 80

Arliss has two pieces of carpet runner. One is 2 1/3 yards long and the other is 3 1/3 yards long. She needs 10 yards of carpet runner altogether. How much more does she need to buy?

Answers

Arliss needs 5 1/3 more carpet to get a total of 10 yards of carpet.

The perimeter of a regular quadrilateral is 12 inches. What is its area?

plz help !!!

Answers

The area would be 9 because the perimeter of the regular quadrilateral would be 3 and if you multiply 3 by 3 you have 9.

The required area of the regular quadrilateral is 9 square inches.

Given that,
The perimeter of a regular quadrilateral is 12 inches. What is its area is to be determined.

What is quadrilateral?

A quadrilateral is a four-sided shape, regular or nonregular.
Examples:- square, rectangle parallelogram etc.

Here,
A regular quadrilateral is a square.
the perimeter of the rectangle = 4 × side
12 = 4 × side
side = 12 / 4
Side = 3 inch
Area of the square = side²
Area of the square = 3²
Area of the square = 9 square inches

Thus, the required area of the regular quadrilateral is 9 square inches.

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Find the multiplicative inverse, or reciprocal, of . 5 over 9

Answers

multiplicative inverse is 9/5 or 9 over 5

Final answer:

The multiplicative inverse or reciprocal of the fraction 5/9 is 9/5, which is the result of flipping the numerator and denominator.

Explanation:

The multiplicative inverse, or reciprocal, of a fraction is another fraction in which the numerator and denominator are flipped. For the fraction 5 over 9, the multiplicative inverse is found simply by reversing the numerator and the denominator, turning it into 9 over 5.

To illustrate this with an example, let's consider the fraction ½. The reciprocal of ½ is 2, as their product equals 1 (1/2 x 2 = 1). Similarly, the reciprocal of 5/9 will be such that (5/9) x (9/5) = 1.

Hence, the reciprocal of 5/9 is 9/5.

Help! Eugene wants to buy jeans at a store that is offering a $10 discount on every item.the tag on the jeans is marked 50% off.the original price is $49.98.find the final cost if the 50% percent discount is applied before the $10 discount. B .find the final cost if the $10 discount is applied before the 50% discount

Answers

A)so first you have it discounted by 50% so the jeans are not 24.99(49.98/2). Now discount it again by 10 dollars and you get 14.99(24.99-10).

B)so first you have it discounted by 10 dollars so the jeans cost 39.98(49.98-10). Now discount it again by 50% and you get 19.99(39.98/2).

The final cost is 19.99. Hope this helps

8.5+4(1-2.5k)=24.5 round to the nearest hundredth

Answers

Hi there!

Your question:

8.5 + 49(1-2.5k)=24.5

My answer:

8.5 + 4(1-2.5k) = 24.5 >>>>>>> first, you have to distribute

8.5 + 4 - 10k = 24.5 >>>>>>>> now, we are going to combine like terms.

12.5 - 10k = 24.5 >>>>>> now, we are going to subtract 12.5 on both sides

-10k = 12 >>>>>>>>> finally, divide -10 on both sides

k = -1.2

Hope this helps you!

Your Problem:
8.5+4(1-2.5k)=24.5
1st step: subtract 8.5 from both sides
4(1-2.5k)=24.5-8.5
4(1-2.5k)=16
2nd step: Divide both sides by 4
(1-2.5k)=16/4
(1-2.5k)=4
3rd step: Opening up the parentheses
1-2.5k=4
4th step: Subtract 1 from both sides
-2.5k=4-1
-2.5k=3
4ht step: divide both sides by -2.5
k=-1.2

arrange the following polynomial into descending order and identify the 3rd term -19x^2+2+4x^3-7x
a. -19x^2
b.2
c.4x^3
d.-7x

Answers

descending order....highest exponent to lowest exponent

-19x^2 + 2 + 4x^3 - 7x = 4x^3 - 19x^2 - 7x + 2

third term is -7x

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