1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
finlep [7]
2 years ago
6

The sum of two numbers is 65 and the difference of those two numbers is -18

Mathematics
1 answer:
joja [24]2 years ago
4 0

Answer:

41.5

23.5

Step-by-step explanation:

Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is -18. In other words, x minus y equals -18 and can be written as equation B:

x - y = -18

Now solve equation B for x to get the revised equation B:

x = -18 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

-18+y+y=65

-18 + 2y = 65

2y = 83

y = 41.5

Now we know y is 41.5. Which means that we can substitute y for 41.5 in equation A and solve for x:

x + y = 65

x + 41.5= 65

X = 23.5

DIfference : 23.5 - 41.5 = 18

Sum: 41.5 +23.5 = 65

Hence, The two number are 23.5 and 41.5

[RevyBreeze]

You might be interested in
The product of two numbers is 41. One of the numbers
shepuryov [24]
<h3>Answer:   5 - 4i     (choice A)</h3>

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

Work Shown:

x = the other number

(5+4i)*x = 41

x = 41/(5+4i)

x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below

x = 41*(5-4i)/( 41 )

x = (41/41)*(5-4i)

x = 5 - 4i  

As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41

The rule used is (a-bi)(a+bi) = a^2 + b^2

-----------

Note:  I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.

3 0
2 years ago
Give the properties for the equation -2x 2 - y + 10x - 7 = 0.
Sladkaya [172]

Given:

The quadratic equation is

-2x^2-y+10x-7=0

To find:

The vertex of the given quadratic equation.

Solution:

If a quadratic function is f(x)=ax^2+bx+c, then

Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)

We have,

-2x^2-y+10x-7=0

It can be written as

-2x^2+10x-7=y

y=-2x^2+10x-7           ...(i)

Here, a=-2,b=10,c=-7.

\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}

\dfrac{-b}{2a}=\dfrac{-10}{-4}

\dfrac{-b}{2a}=\dfrac{5}{2}

Putting x=\dfrac{5}{2} in (i), we get

y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7

y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7

y=\dfrac{-50}{4}+25-7

y=\dfrac{-25}{2}+18

On further simplification, we get

y=\dfrac{-25+36}{2}

y=\dfrac{11}{2}

So, the vertex of the given quadratic equation is \left(\dfrac{5}{2},\dfrac{11}{2}\right).

Therefore, the correct option is A.

3 0
3 years ago
Mary invests £120000 in a savings account.the account pays 1.5% compound interest per year work out the value of her investment
iris [78.8K]

Answer:

120,027£

Step-by-step explanation:

A=P(1+r/100)^n

120,000(1+1.5/100)^2

=120,027£

hope it helps

5 0
3 years ago
Solve <br> x^3 - 3x^2 - 13x + 15=<br> x^4 + 3x^3 - 8x^2 + 5x - 25=<br> x^3 - 2x^2 - x + 2 =
AleksAgata [21]
We have Been doing Solving qart log
5 0
3 years ago
Can anyone please help ​
Sedaia [141]

Answer:

$210

Step-by-step explanation:

if she is selling each bar for 175% then she is also selling the pack for 175%.

Three packs is $120

Do 120* (1 + 0.75) = 210

4 0
3 years ago
Other questions:
  • How can you solve problems involving equivalent expressions?
    11·2 answers
  • 1. (2 points) Solve each equation and write the answer on the line
    13·1 answer
  • HELP ASAP!
    13·1 answer
  • -3z+8=2z-12 what is the answer?
    12·2 answers
  • A class of 20 boys and 15 girls is divided into n groups so that each group has x boys and y girls. Find x, y and n. what values
    13·1 answer
  • Someone help me with this ASAP
    8·1 answer
  • Use the pre image to find the coordinates. PLEASE HELP DUE BY 10:15
    10·1 answer
  • The ratio of almond pieces to
    6·1 answer
  • Which of the following triangles have three sides of different length? A. acute B. scalene C.equilateral D. right​
    11·1 answer
  • Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed. plss help
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!