The Sum Of Two Numbers Is 18 And Their Difference Is 4

Answers

Answer 1

Answer:

The two numbers are 7 and 11.

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Step-by-step explanation:

Let A and B stand for the two numbers.

We are told that:

1)  A+B=18, and

2)  A-B=4

Take the first expression and rearrange to isolate A:

A+B=18

A=18-B

Use this in the second expression:

(18-B)-B=4

-2B = -14

B = 7

From (1) we find A:  

A+B=18

A+7=18

A= 11

If A=11, then B=7 (from A+B=18)

CHECK:

Does A+B=18?

  11 + 7 = 18?  YES

Does A-B=4?

    11 - 7 = 4?  YES


Related Questions

Michelle wants to borrow $4,500. Bank A will lend Michelle the money at a simple annual interest rate of 9% for 6 years. Bank B will lend her the money at 11% for 4 years. Which bank would charge Michelle the least amount of interest? Explain.

Answers

Answer:

Michelle needs to calculate the interest for the length of each loan. Bank A will charge $2430 in interest and Bank B will charge $1980 in interest. She will save by borrowing from Bank B.

Step-by-step explanation:

this is the simple reponse

While only 5% of babies have learned to walk but the adage of 10 months, 75% have learned to walk by 13 months of age. If the age at which Bavaria develop the ability to walk can be described by normal distribution model, find the mean and standard deviation of the normal model

Answers

Answer:

Mean is 12.13 months

Standard deviation is 1.29

Step-by-step explanation:

We need to use z-score here

Let the mean of the distribution be a while the standard deviation be b

Mathematically;

z-score = (x-mean)/SD

We can obtain the probability from the z-score

Now, for the 10th month

The z-score for a probability of P = 0.05(5%)

Can be obtained from the standard normal distribution table and that is;

-1.645

Hence;

-1.645 = (10 - a)/b

-1.645 b = 10 - a

a = 10 + 1.645b ••••••(i)

For the 13 month, we have a proportion of 75%

The z-score corresponding to P(0.75) is = 0.674 from standard normal distribution table

Hence;

0.674 = (13-a)/b

0.674b = 13 - a

a = 13 - 0.674b. •••••(ii)

Now equate both a;

10 + 1.645b = 13 - 0.674b

13-10 = 1.645 b+ 0.674b

3 = 2.319b

b = 3/2.319

b = 1.294

So the mean a will be

10 + 1.645b = 10 + 1.645(1.294) = 10 + 2.13

So mean is 12.13

Bianca bought a skateboard for $75. There sales tax of 6.5%. What well she spent total for the skateboard?

Answers

Answer:

79.875, or 79.88

Step-by-step explanation:

first ya do 75*0.065=4.875

then you add that to 75

She spent $74.94 on the new skateboard

Solve the following compound inequality
-3 < x +7 <10

Answers

Answer:

x > -10

x < 3

Step-by-step explanation:

separate into two inequalities

x+7> -3      

x+7<10

x + 7 -7> -3  + -7

    x > - 10

x + 7 -7 < 10 + -7

     x < 3

help me solve this pls lol
64x²+y²

Answers

Answer:

( 8 x + y )  ( 8 x − y )

Step-by-step explanation:

Can somebody help me please I needed this for the longest (3x+2) and (x-7)

Answers

Answer:

They intercept at (-4.5, -11.5)

Step-by-step explanation:

If a = b and b = c, which statement must be true?

Answers

Answer:

a=c

Step-by-step explanation:

This is because of the transitive property; which states that if a=b and b=c, then a=c.

A=C like that guy says

Find the range of the function ​

Answers

Answer:

It would be A

Step-by-step explanation:

Please answer this question

Answers

Answer:

A

Step-by-step explanation:

Its A!!!

Since it says the scale is 100 km for each cm, and the cities are 2.9 cm away on the map you just multiply that by 100 to get 29 km! Hope this helps!

Write –2/5 as a decimal.

Answers

Answer:

-0.4

Step-by-step explanation:

Answer:

-0.4

Step-by-step explanation:

you just need to devide 2 and 5 or you can multiply the whole thing by 2x so it's 4/10 and than devide if you find it easier

TIME REMAINING
59:55
Which inequality has –12 in its solution set?

A
B
C
D

x + 6 less-than negative 8

x + 4 greater-than-or-equal-to negative 6

x minus 3 greater-than negative 10

x + 5 less-than-or-equal-to negative 4

A
B
C
D

Answers

Answer:

what is a b c or d what are the answers for multi chose

Step-by-step explanation:

How many solutions does the following equation have ?
–42 – 7 + 10x = -7 + 62

Answers

the equation only has one solution

The graph of a quadratic function, y=x?. is reflected over the x-axis. Which of the following is the equation of the
transformed graph?

Answers

Answer:

x = -y

or

-y = x

Step-by-step explanation:

since you reflect it over the x axis, the y changes to a negative

Answer:

its A on edgy

Step-by-step explanation:

Sam ordered some books online for $5 each. He paid a total of $4 for shipping. The total cost of the purchase was $89. How many books did he buy?
Part a is the equation and part b is the total

Answers

Answer:

17

Step-by-step explanation:

if you subtract 4 from 89, which is the shipping cost. 89 - 4 = 85. Then divided 85 by 5 because that will show how much he paid for them in total, by how much a singular book is. Telling you how many books he bought. 85/5 = 17.

Answer:

A.) 5b+4=89

B.) 17 books

Step-by-step explanation:

To find A.), we must create a linear equation. Let b be the number of books Sam ordered. We write 5b because each book is 5 dollars. Then we add 4 dollars to the equation to represent the shipping fee. Then we write "equals to 89",  because it says that is the total cost. So we get the equation 5b+$4=$89

To find B.), we must solve the equation. Isolate the variable, by subtracting 4 from both sides. We then get 5b=$85. Now we divide by 5 to get only the variable and to get rid of the coefficient. We get b=17. So Sam bought 17 books.

how many timescas thick as the oceans epipelagic zone is the hadalpelgic zone... work or explanaion please..

epipelagic-0 km
hadalpelagic- -6 km

Answers

flip your chicken strips! hadalpealic - -6 km and dp

Help please in the photo

Answers

Answer:

m = 40

Step-by-step explanation:

The triangle inside the circle has 2 equal sides ( the radii ) of the circle, thus

The base angles are congruent both 50°

The 3 angles on the tangent sum to 180°, so

m + 50 + 90 = 180

m + 140 = 180 ( subtract 140 from both sides )

m = 40

Solve the given system using matrices.
x + 3y + 2z = 4
-4x - 2y + 5z = 3
2x + 2y + z = 7
x=
y=
z=
Enter answers with no spaces.
I RLLYYYY NEED HELP YALL

Answers

Answer:

X = 64/19

y equals -2/19

z =9/19

Step-by-step explanation:

its very hard to type in the explanation but I know the answer is right trust me I do a level maths

ANSWER IT ANSWER IT!

Answers

Answer:

A perfect square means that all side are EXACTLY equal. I hope this helps!

Step-by-step explanation:

In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number

It’s due tomorrow please someone help

Answers

Answer:

15a is 32oz   18c is 10

Step-by-step explanation:

2 2/3 divided by 1 1/3

Answers

Answer:

2

Step-by-step explanation:

Answer:

It is 2

Step-by-step explanation:

I do not have a true explanation its just quick math to my brain.

One positive number exceeds another by 7​, and their product is 78. Find the numbers.

Answers

Answer:

13 and 6

Step-by-step explanation:

13 • 6 = 7813 – 6 = 7

How do solve 31 = 5 - 2(3x+4) - x. It can be a fraction.​

Answers

x = 34 over -7
first you distribute, then you combine like terms, then get x by itself and then divide but in this problem you keep it in a fraction.

is −8>6 true or false

Answers

False. Negative numbers aren’t greater than positive numbers. For it to be true it would have to be -8<6.

The side with intermediate length is:
1. OD
2. DE
3 EO

Answers

Answer:

I don't know exactly, I think it is EO, but I could be wrong.

Step-by-step explanation:

The side with intermediate length is OE .

What is the relationship between length of side of triangle and their interior  angle ?

Relationship of sides to interior angles in a triangle

In any triangle:

The shortest side is always opposite the smallest interior angleThe longest side is always opposite the largest interior angle

According to the question

Side opposite to smallest ∠20° = OD

Side opposite to largest ∠110° = DE

Side opposite to intermediate ∠50° = OE

Now,

according to the relationship between length of side of triangle and their interior angle

The smallest side is opposite the smallest angle, and the longest is opposite the largest angle, then it follows that since a triangle only has three sides, the midsize side is opposite the midsize angle.

Therefore,

OD = smallest side

DE = Largest side

OE = intermediate side

Hence, The side with intermediate length is OE .

To know more about the relationship between length of side of triangle and their interior angle here:

https://brainly.com/question/24083446

#SPJ2

What is the equation for this line? *

O y = -2x +1
O y = 1/2x + 1
O y = -2x - 1
O y = -1/2x + 1

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

The y-intercept is given by the point that is on the y-axis. (1)

This means that the answer contains a +1

Then you must find  if the slope is positive or negative

In this case the slope is negative because the line goes "downhill" from left to right

Since the slope is negative it means that there will be a negative sign in the beginning of the equation

Next, to find the slope you need to find the rise over run

Since it is a negative slope the rise will be negative and the run will be positive.

To find the slope find two clear points on the graph such as (0,1) and (2,0)

To find the slope, use the slope formula

This would look like: (0-2)/(1-0)

Your slope will be -2x

Piece it all together and you get a final answer of y= -2x+1

The answer is y= -1/2x + 1
Why?

PLEASE

What is the slope and the y-intercept for the

equation = −2 − 2?

Answers

Answer:

So the slope is -2 while the y-intercept is -2

Step-by-step explanation:

y=mx+b

so you need to rearrange it so it will be

y=-2x-2

So m is slope so it is -2

and -2 is b which is the y-intercept so it is -2

Hope this helps and sorry I took so long

what is the answer?​

Answers

Answer:

i think it is 8

Step-by-step explanation:

but i am not sure

8 is the answer :D and yeah

Pls I really need help

Answers

Answer:

Greater

Step-by-step explanation:

Greater
Because if you do 86,500 minus 26,375 then you get 60, 125 which is greater than 60,000

what are the images of F and H​

Answers

what? there are no images, i have no idea what you are saying

Determine the domain of the graph above

Answers

Is all real number I think
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