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
artcher [175]
3 years ago
11

The sum of two numbers is −45. One number is 9 more than the other. Find the numbers.

Mathematics
2 answers:
iragen [17]3 years ago
7 0

Answer:

-27 and -18

Step-by-step explanation:

Solve algebraically. Use a variable and an expression to represent the numbers.

let the smaller number be "x"

The bigger number is x + 9.

The two numbers are "x" and "x + 9".

The sum of two numbers means when you add them together. If their number is −45, then:

x + x + 9 = −45

Simplify and isolate "x" to solve in the equation.

x + x + 9 = −45        Collect like terms (numbers that have "x") to simplify

2x + 9 = −45        Isolate "x"

2x + 9 - 9 = −45 - 9        Subtract 9 from both sides

2x = −54

2x/2 = −54/2        Divide both sides by 2

x = -27       Value of smaller number

The bigger number is x + 9. Substitute "x" for -27 and solve.

x + 9

= -27 + 9        Add together

= -18        Value of bigger number

Therefore the two numbers are -27 and -18.

nekit [7.7K]3 years ago
7 0

Answer:

if -45 + -9 = -54 that means - 54 + 9 = -45

Step-by-step explanation:

You might be interested in
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the
Gekata [30.6K]

Equation (B) "y = 3x + 10" represents the growth of the puppy.

<h3>What are equations?</h3>
  • An equation is a mathematical formula where the "equal to" sign appears between two expressions having the same value.
  • Like 3x plus 5 equals 15, for example.
  • Different types of equations exist, such as linear, quadratic, cubic, and others.
  • The three primary forms of linear equations are the slope-intercept form, standard form, and point-slope form.

So, the equation that represents the situation:

  • The weight increase is: (10, 13, 16, 19, 22, 25)
  • We can observe that every time, there is a rise of 3lbs of weight.
  • Now, let 10 be a constant as the weight is starting from 10 lbs.
  • And 'x' be the number of time Salomon tracks the weight.

Then:

  • y = 3x + 10

For example, Salomon checks the weight for the 6th time then:

  • y = 3x + 10
  • y = 3(5) + 10
  • y = 15 + 10
  • y = 25

So, the equation is correct.

Therefore, equation (B) "y = 3x + 10" represents the growth of the puppy.

Know more about equations here:

brainly.com/question/28937794

#SPJ13

The correct question is given below:
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the day he brings her home. His list for her first 6 "weighs" is as follows: (10, 13, 16, 19, 22, 25}

Which equation represents the growth of the puppy? Select one:

A. y = x + 3

B. y = 3x + 10

C. y = 10x + 3

D. y = x + 10

8 0
1 year ago
State how many significant figures 0.03810 has?
guapka [62]

Answer:

4

Step-by-step explanation:

the figures are

0,0,3,8,1,0

we repeat 0

so we have 4 figures,

0,3,8,1

8 0
3 years ago
Put the following integers in order from least to greatest.<br> {-22-, 63, 54, -89, -71, -10)
olchik [2.2K]
63>54>-10>-22>-89 :)
8 0
3 years ago
Which alegbraic expression models the given word phrase?
bixtya [17]

40 fewer than a number which is T would be

C 40-t


3 0
4 years ago
4(5x – 9) = -2(x + 7) solve and justify each step
Alexandra [31]

Step-by-step explanation:

4(5x-9)=-2(x+7)

4*5x-4*9=-2*x-2*7

20x-36=-2x-14

20x+2x=-14+36

22x=22

x=22/22

x=1

5 0
3 years ago
Other questions:
  • Find the solution set
    12·1 answer
  • A circle with center (3,5) intersects the y-axis are(0,1). find the radius of the circle, find the coordinates of the other poin
    13·1 answer
  • What is the value of the expression when n=7
    7·2 answers
  • Fine the area of the kite.
    11·2 answers
  • Rationalise the denominator of 5√7 / √5
    11·1 answer
  • ΔΑΒC Δ EDS<br> What is the value of x?
    7·1 answer
  • What is 24000 written in word form multiplied by the power of 10
    13·1 answer
  • What is -7.1 divided by 2.5.
    8·1 answer
  • If an earthquake measures 10^4, what does it measure on<br> the Richter scale?
    7·1 answer
  • A boat can travel 477 miles on 53 gallons of gasoline.How much gasoline will it need to go 45 miles
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!