Is it possible for two numbers to have a difference of 8, and a sum of -6? If so, what are the two numbers?

Answers

Answer 1

Answer: The two numbers are 1 and -7

1 minus -7 = 1 - (-7) = 1 + 7 = 8 .... difference

1 plus -7 = 1 + (-7) = -6 .... sum

===================================================

Explanation:

Let x and y be the two numbers. Let's say that x > y. Meaning that x is the bigger value.

They have a difference of 8 tells us that

x-y = 8

since "difference" is the result of subtraction. The term "sum" means the result of addition. Having a sum of -6 tells us

x+y = -6

We have this system of equations

[tex]\begin{cases}x-y = 8\\x+y = -6\end{cases}[/tex]

We can add the equations straight down. So we add the x terms to get x+x = 2x. The y terms add to -y+y = 0y = 0, so the y terms go away. The stuff on the right hand side adds to 8+(-6) = 2

After adding the equations straight down, we boil things down to the equation 2x = 2 which solves to x = 1, after dividing both sides by 2.

Then you'll use x = 1 to find y

x-y = 8

1-y = 8

-y = 8-1

-y = 7

y = -7

or

x+y = -6

1+y = -6

y = -6-1

y = -7

Regardless of what equation you pick, you should end up with the same y value. This helps confirm we have the correct x value.

Another way to check is to plug (x,y) = (1,-7) into both equations of the system. You should end up with true statements after simplifying fully.

So the two numbers are x = 1 and y = -7


Related Questions

10+20=2(5+___what that’s all I need help on this please

Answers

10 because 2x10 is 20

Carmen runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

Answers

Answer:

4.2 miles

Step-by-step explanation:

6 miles/50 minutes = x miles/35 minutes

1. Since 5 is the GCF (greatest common factor) of x and 35, that is what the ratio must first be converted into, by dividing by 10: 6/50 = 0.6/5

2. To convert this to 35 minutes, it must be multiplied by 7, because 5 * 7 = 35. This leaves us with the answer:

0.6/5 = 4.2 miles/35 minutes

This graph shows which inequality?



t ≥ –4


t > –4


t ≤ –4


t < –4

Answers

Answer:

C) t<=-4

Step-by-step explanation:

PLEASE HELP ME OLEASE UT URGENT !

Answers

Answer:

Explanation:

m = (y1 - y)/(x1 - x)

y1 = 50, y = 90
x1 = 2, x = 4

m = (50 - 90)/(2 - 4)
m = -40/-2
m = 20

b is the y intercept = 50

So our equation is written as:

y = 20x + 50

write the linear equation below in the function notation

y=2x-5

Answers

Answer:

f ( x ) = 2 x + 5

Step-by-step explanation:

Function notation is a system of representing functions.

The two-way frequency table below shows data on whether Karissa had an ice cream cone and whether the day was during the week or on the weekend. Complete the following two-way table of column relative frequencies. (If necessary, round your answers to the nearest hundredth.) Weekday Weekend Had an ice cream cone 232323 454545 Did not have an ice cream cone 155155155 666 Weekday Weekend Had an ice cream cone Did not have an ice cream cone Column total 1.001.001, point, 00 1.001.001, point, 00

Answers

Answer:

Answers below

Step-by-step explanation:

0.13           0.88

0.87          0.12

Hope this helps!

The two-way column relative frequency table is,

                                            Weekday                        Weekend  

Had an ice cream cone                0.29                              0.88                

Did not have an ice -                    0.87                               0.11            

cream cone  

          Total                                   1.00                                 1.00                        

What is two-way frequency table?

"It is a way to display frequencies for two categorical variables."

"One category is represented by rows and a second category is represented by columns."

Now, We need to find the column relative frequency table.

First we find the total of each column.

                                        Weekday                        Weekend  

Had an ice cream cone             23                                45            

Did not have an ice -                 155                                 6            

cream cone  

          Total                               178                                51                

Now, divide each element of column by its respective total.

                                              Weekday                        Weekend  

Had an ice cream cone               23/178                               45/51                

Did not have an ice -                    155/178                                6/51                

cream cone  

          Total                                  178/178                               51/51

Therefore, the two-way column relative frequency table would be,

                                          Weekday                        Weekend  

Had an ice cream cone                0.29                              0.88                

Did not have an ice -                    0.87                               0.11            

cream cone  

          Total                                1.00                                 1.00            

Learn more about relative frequency table here:            

brainly.com/question/12576014

#SPJ3

         

Need help ASAP
Which number line correctly shows -3 - -1.5?​

Answers

Answer:

The top one I'm pretty sure.

Can someone help me with this question pls and thank you

Answers

Answer:

x>2

Step-by-step explanation:

Longer than two hours is >.

X>2 is the answer I think

8r - 4 (7r - 5) this is the question im struggling with​

Answers

i am pretty sure the answer is:

= -20r + 20

Please help on this

Answers

the answer is that angle 3 equals 60 degrees

Sam and Jane split the cost of one sandwich and two bottles of water. The sandwich cost $4.50 and EACH bottle of water cost $1.25. How much did each person pay? (Multiple Step Problem) * 10 points

Answers

Answer:

3.50

Step-by-step explanation:

1.25 x 2 = 2.50

2.50 + 4.50 = 7

7 / 2 = 3.50

Hope this helps!

$ 3.50 hope you get the points

Translate the sentence into an equation.
Twice the difference of a number and 5 is 8.
Use the variable x for the unknown number.

Answers

2 (x - 5) = 8

To solve, you use the distributive property as shown below!! :)

2x - 10 = 8
2x = 18
x = 9

Hope this helped you :)

Is y=2/3x+5 proportional or non-proportional

Answers

9514 1404 393

Answer:

  non-proportional

Step-by-step explanation:

The "+5" means that y is not zero when x is zero. A proportional relation has no added constant. It is of the form ...

  y = kx

The relation is non-proportional.

Select the correct answer

Answers

Answer:

1/25x

Step-by-step explanation:

Will give brainliest if you can answer at least one of these, or tell us how to do them

Answers

See the attached picture

1. Elijah's puppy weighs 35 ounces. If he weighed 20 ounces at the last visit to the veterinarian's office, what is the percent increase in the
puppy's weight?
The percent increase is type your answer...

Answers

Answer:

75 percent

Step-by-step explanation:

percent increase = increase/original ×100

= (35-20)/20 ×100 =15/20 ×100= 15×5= 75


If X-1 = 8, what justifies x - 1 = 16?
2
F Subtraction Property of Equality
G Division Property of Equality
H Transitive Property of Equality
J Multiplication Property of Equality

Answers

Answer:

I think G Division Property of Equality

PLEASE ANSWER ASAP!! Will give brainliest!!

Answers

B!!! hope this helps <3

Match each equation to a step that will help solve the equation.
Eqautions: Numbers:
1) Multiply each side by 5.
2) Multiply each side by -5.
3) Multiply each side by 1/5.
4) Multiply each side by -1/5.
A) 5x= 0.4
B) x/5=8
C) 3 = -x/5
D) 7 = -5x

Answers

1 and B
2 and C
3 and A
4 and D
A) 5x = 0.4 — 3) Multiple by 1/5

B) x/5 = 8 — 1) Multiple by 5

C) 3 = -x/5 — 2) Multiple by -5

D) 7 = -5x — 4) Multiple by -1/5


Explanation:

A:
5x = 0.4

5x • 1/5 = 0.4 • 1/5

x = 2/25 or 0.08


B:
x/5 = 8

x/5 • 5 = 8 • 5

x = 40


C:
3 = -x/5

3 • -5 = -x/5 • -5

-15 = x

x = -15


D:
7 = -5x

7 • -1/5 = -5x • -1/5

-7/5 = x

x = -7/5 or -1.4

Hope it helps!

Evaluate k + 26 when k = 10

Answers

Step-by-step explanation:

When k = 10

Then

k + 26

= 10 + 26

= 36

Hope it will help :)

Answer:

36

Step-by-step explanation:

k = 10

k + 26 =

10 + 26 =

36

Two equivalent fractions for 2/3

Answers

Answer:

2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3. Similarly, if we divide the numerator and denominator of 12/18 by 6 we get. 12/18 = 12÷6 / 18÷6 = 2/3. So 12/18 is an equivalent fraction of 2/3 as well.

Step-by-step explanation:

4/12 6/9 are right answers!

which expression represents the products of a and b decresed by 9?

Answers

Answer:

(a × b) - 9

Step-by-step explanation:

The product of a and b basically just means a being multiplied by b and then decreased by 9 just means to subtract that by 9.

I hope this helps you :D

Math homework sucks...

Empire star Terrence Howard was paid $1.25 * 105 per episode filmed in season one. If Empire filmed 12 episodes in the first season, how much total salary did Terrence Howard earn?

Answers

Answer:

Terrence would have earned $1575 dollars

Step-by-step explanation:

First we multiply 1.25 by 105.

1.25 * 105 = 131.25

Next we multiply 131.25 by 12.

131.25 * 12 = 1575.

So, the answer is 1575.

Hope this helps! :)

I think Terrence Toward would have earned...
$1575 dollars. (Hope this helps)

Given the following function

y = -1/2 (x-2)2+3

Find the vertex, y-intercept, and x intercepts.

Answers

here’s a graph from desmos!

Alberto makes fruit punch with 24.2 ounces of apple juice and 18.4 ounces of pineapple juice. He splits the fruit punch equally into 6 glasses.

How much fruit punch is in each glass?

Answers

If you add up all the ounces you will get 42.6 ounces so then you see how many ounces are in a cup which is 8 ounces in one cup so you divide 42.6 by 6 glasses and you will get 7.1 as you answer

Answer:

7.1

Step-by-step explanation: i took the quiz

What is the slope of the line that passes through the points
(
4
,

2
)
(4,−2) and
(
24
,

17
)
?
(24,−17)? Write your answer in simplest form.

Answers

Answer:

-3/4

Step-by-step explanation:

Given the coordinates (4, -2) and (24, -17), we are to find the slope of the line passing through the points

Slope = y2-y1/x2-x1

Slope = -17-(-2)/24-4

Slope = -17+2/20

Slope = -15/20

Slope = -3/4

Hence the required slope is -3/4

what is the answer? I need it now ​

Answers

The answer is a:

It's the only one that cannot be simplified. A number that will divide evenly into both the numerator and denominator so it can be reduced, or The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number.

(I was a teensy bit confused from last time's answer, because it said select the CHOICES below sooo...)

Jack and mic moment jack charges three dollars per hour plus a $10 equipment fee mike charges eight dollars per hour but does not charge and equipment be there charges are shown on the graph after how many hours of knowing is jack and mikes charge the same


NEED ANSWERS NOW!
Will mark you Brainlist!

Answers

Answer:

15

Step-by-step explanation:

step by step

2 /8 The Math Club’s spring banquet was a huge success, and Ray and Aletha are calculating the tip. The total bill was $360. What is the amount of tip that Ray and Aletha if they leave a 20% tip? $50 $542 $72 $56

Answers

Answer:

$72

Step-by-step explanation:

im guessing

This is easy but hard for me can someone help me ASAP please

Answers

Answer:

u have them all selected

Step-by-step explanation: but i thnk the answer is -3 and -1

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