The sum of two numbers is −36. Their difference is 68. Find the numbers.

Answers

Answer 1

The two numbers from the equations are 16 and -52

The first number is 16

The second number is -52

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = x

Let the second number be = y

So , the equation will be

Let the sum of two numbers be = -36

And the equation will be

x + y = -36   be equation (1)

Let the difference of two numbers be = 68

And the equation will be

x - y = 68   be equation (2)

Subtracting equation (1) from equation (2) , we get

On simplifying the equation

2x = 32

Divide by 2 on both sides of the equation , we get

x = 16

The equation will be

Substituting the value of x in the equation , we get

x + y = -36

16 + y = -36

Subtracting 16 on both sides , we get

y = -52

Hence , the two numbers are 16 and -52

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Related Questions

round 688. to the nearest hundred. Enter your answer in the box below.​

Answers

Answer:

700

Step-by-step explanation:

thats the answer ik

Answer:

700

Step-by-step explanation:

688 is closer to 700 than 600 so it is rounded to 700

If y = -6 when x = 16, find y when x = 8.

Answers

Answer:

y=-3

Step-by-step explanation:

16/2=8

-6/2=-3

Answer:

-3

Step-by-step explanation:

I think this -6/16 = -3/8 divided both sides by 2

Write 0.0000000068 as a scientific notation

Answers

Answer:

10×6.8 to the 9th power

Which number sets (i.e. Natural, Whole, Integer, Rational, Real, etc.) are best suited to represent discrete functions? Why? Which number sets are best suited to represent continuous functions? Why?

Answers

Answer:

They are considered      discrete

Step-by-step explanation:

because

Multiply 3 over 7 times 5over 8

Answers

Answer:

0.26785714285

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/7 * 5/8

This equates to 15/56.

Multiply 3 and 5 (which equals 15).

Multiply 7 and 8 (which equals to 56)

#teamtrees #WAP (Water And Plant)

These polygons are similar find the value of Y. PLLZZZ HELP

Answers

y=4  

8 ÷6= 1.3

6÷1.3=4                                      

PLEASE HELP!!!!!!!!!!
please answer all these questions

Answers

1.) 5
2.) 9
3.) 1/2
4.) 0.5
5.) 1
6.) -8

Which line is parallel to the line given y=-5/2x-7

Answers

Answer:

xzy567

Step-by-step explanation:

write an equation of the line that passes through (-1, 3) and has a slope of -4​

Answers

Answer:

y = -4x - 1

Step-by-step explanation:

We are given the slope so we can find the y intercept using slope intercept [ y = mx + b ]

y = -4x + b

3 = -4(-1) + b

3 = 4 + b

-1 = b

Now, put everything we know and solved for back into the formula.

y = -4x - 1

Best of Luck!

This why is the product of 2 rational numbers always rational

Answers

Answer:

Adding two rational numbers is like adding two positive numbers, or two like fractions.

i will give brainilest
The table shows the number of each score earned by 120 students on a sixth grade mathematics test.


Score Number of Students
100 9
95 18
90 72
85 15
80 6

What is the ratio of students scoring above 80 to students scoring exactly 80 on this test?

Group of answer choices

1 to 20

19 to 1

1 to 19

20 to 1

Answers

Answer 19:1

Work:
Students scoring above 80 -
9+18+72+15= 114

Students score exactly 80-
6

114/6 = 19

19 students scored above 80 for every 1 student that scored exactly 80.

Najat is selling raffle tickets. The table shows the cost (in dollars) of buying different numbers of tickets.

Using x for the number of tickets and y for the cost, do the following.

Write an equation relating x and y

Answers

Answer:

The equation relating x and y is: y=4x

Step-by-step explanation:

Let x represent number of tickets

and y represent cost

a) Plot the ordered pairs

The ordered pairs (1,4),(2,8),(3,12),(4,16) is plotted in figure attached.

b)  Write an equation relating x and y

y= 4x

Now checking by putting values of x to see, if we get values of y

if x=1,  then y=4x => y=4*1 =>y=4

if x=2 then y=4x => y=4*2 =>y=8

if x=3 then y=4x => y=4*3 =>y=12

So, we get same values as table.

The equation relating x and y is: y=4x

The area of the postcard pictured below is 24 square inches. What is the width b of the message section (in inches)? Pick the equation that would best model this situation.
A. 4(b + 3) = 24
B. 3(4 + b) = 24
C. 4(b - 3) = 24
D. 3(b - 4) = 24

Answers

Answer:

Step-by-step explanation:

4(b + 3) = 24

Answer:

A. 24 = 4(b + 3)

Step-by-step explanation:

Area is equal to length times width. In this case, the length is b + 3 (since both b and 3 are part of the width, with the length being 4.

Substitute into the equation for area:

a = lw

a = 4(b + 3)

The area is 24, so the final answer is:

A. 24 = 4(b + 3)

5r + 2d
I need to know the answer to this equation.
R = 3 and d = 5

brainliest and 30 points for correct answer and first person ONLY

Answers

Answer:

=25

Step-by-step explanation:

plug in the numbers for the variables

5(3)+2(5)

15+10

25

Nina likes to tip restaurant staff 18% when she enjoys the meal and has good service. Which expression represents the amount of tip, in dollars, that Nina will give when she has a positive experience eating a meal that cost n dollars? 0.18n 18n StartFraction n over 18 EndFraction n + 0.18

Answers

Answer:

18n

Step-by-step explanation:

just got done taking the test

Answer:

0.18n

Step-by-step explanation:

Mr mogi barrowed $9,000 for 10 years to make home improvements if he paid a total of $11,000 in interest in interest at what I test rate did he barrow the money

Answers

Answer:

Step-by-step explanation:

what is the sum of (-2.1x + 3.7) and (5 + 4.9x)?

Answers

Answer: [tex]=2.8x+8.7[/tex]

[tex]=-2.1x+3.7+5+4.9x[/tex]

[tex]=(-2.1x+4.9x)+(3.7+5)[/tex]

[tex]=2.8x+8.7[/tex]

Write sin(x+1) in terms of unshifted sine and cosine. Write your answer using decimals.
Please provide explanation, I’m confused.

Answers

Answer: sin(x + 1) = 0.841*cos(x) + 0.540*sin(x)

Step-by-step explanation:

Here we can use the relation:

Sin(a + b) = sin(a)*cos(b)  + sin(b)*cos(a)

In this case we have:

sin(x + 1)

This means that the graph of sin(x) is shifted one unit to the left.

But we can write this, using the above relation, as:

sin(x + 1) = sin(x)*cos(1) + sin(1)*cos(x)

Now we have no longer a shift, and we can replace:

sin(1) = 0.841

cos(1) = 0.540

Then:

sin(x + 1) = 0.841*cos(x) + 0.540*sin(x)

Anyone wanna be freinds

Answers

Answer:

yes

Step-by-step explanation:

Answer:

sure......................................

3x+5=23 what is the value of x?

Answers

Answer:

X = 6

Step-by-step explanation:

Hope this helps!

....

How to calculate slope?

Answers

Answer:

Rise/run    rise over run

Step-by-step explanation:

y2-y1/x2-x1

Can the following question be considered a statistical question and why or why not?

Do students at Bryan Middle School exercise?

Yes, it specifies the population
No, it does not specify the population
Yes, it anticipates enough variability in responses
No, it does not anticipate enough variability in responses

Answers

Yes, it specifies the population

Answer: Yes, it anticipates enough variability in responses

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

what is the variance of the following set of data? 5 ,55 , 505, 255, 5, 75 , 85, 65

Answers

Answer:

27964.286

Step-by-step explanation:

i just used calculator soup

Answer:

28,912

Step-by-step explanation:

i also used calculator soup but gave the right answer

If the number of dates Anna and John had is represented by three consecutive integers, what is the algebraic expression for

the total number of dates they have had?

Answers

Step-by-step explanation:

x,x+1,x+2

Topic: algebraic expression

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

=3x+3
Let x represent the first date. The expression x+1 represents the second date. The expression x+2 represents the third date. The total number of dates as follows

Which exponential expression represents the numerical expression 9⋅9⋅9?


​​93

​​39

​​3×9

9×3

Answers

Answer:

93

Step-by-step explanation:

Answer: The first one 9³

Step-by-step explanation:

Note:   9³ or nine to the third power or 9-cubed is correct, because we are multiplied the number 9 by itself, three times

   The value equal to:    

             9*9*9 is equal to:  9³

     that is, nine to the THIRD power or:

                 nine to the power of three

Which figure is shown in the drawing?

Answers

ray XY is the answer

Please give Brainliest also I hope this helps!

In the figure, of the given alternatives, a ray XY is shown.

What is a ray?The definition of ray in math is that it is a part of a line that has a fixed starting point but no endpoint. It can extend infinitely in one direction.

Given is the figure as shown in the image.

Of the given options, only a ray given by XY{with overhead arrow} can be seen as it has one starting point at [x] and extends along.

Therefore, in the figure, of the given alternatives, a ray XY is shown.

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Which graph represents a function? Edge 2020

Answers

Answer:

Last Graph

General Formulas and Concepts:

Algebra I

Vertical Line Test - A function's x-values must have only 1 y-value corresponding to it. If the function fails to pass this, it is not a function.

Step-by-step explanation:

When we apply the Vertical Line Test to the 1st graph, it does not pass it. Therefore, the 1st graph is not a function.

When we apply the Vertical Line Test to the 2nd graph, it does not pass it. Therefore, the 2nd graph is not a function.

When we apply the Vertical Line Test to the 3rd graph, it does not pass it. Therefore, the 3rd graph is not a function.

When we apply the Vertical Line Test to the 4th graph, it does pass it. Therefore, the 4th graph is a function.

Factor the following expression:
14x+49

Answers


14x+49
7(2x+7)

Factor out 7

Answer: 7 out of 14x+49  = 7(2x+7)

14x+49

7(2x+7)

Hope this helps... Stay safe and have a great day/night!!!! :D

Chaz kept a record of how many gallons of gas he purchased each day last week. Drag and drop the days into the correct boxes to order the days from the least amount of gas Chaz purchased to the greatest amount of gas Chaz purchased.

Day Gas (in gallons)
Monday 4.5
Tuesday 3.6
Wednesday 4.252
Thursday 3.71
Friday 4.255

Answers

Answer:

The arrangement of days from least to greatest according to number of gallons is:

Tuesday

Thursday

Wednesday

Friday

Monday

Step-by-step explanation:

The given amount of gallons is in decimal form and we have to arrange the numbers in the order from least to greatest.

4.5 is the largest number in the given numbers.

Then comes 4.252 and 4.255

As 0.252<0.255 so 4.252 will be smaller.

The smallest number is 3.6

Arranging the numbers, we get

3.6

3.71

4.252

4.255

4.5

Now arranging the corresponding day to each number,

The arrangement of days from least to greatest according to number of gallons is:

Tuesday

Thursday

Wednesday

Friday

Monday

Solve for n.
n + 1 = 4(n-3)
n = 1
n = 8
n = 11
n = 16

Answers

Answer:

I think its n=1 but not quite sure.

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