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
AnnyKZ [126]
3 years ago
7

The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.

Mathematics
1 answer:
Dovator [93]3 years ago
3 0

The two numbers are 15 and 6

<em><u>Solution:</u></em>

Let the two number be "a" and "b"

Let the first number be "a" and second number be "b"

Given that,

<em><u>The difference between two numbers is 9</u></em>

a - b = 9 -------- eqn 1

<em><u>The first number plus twice the other number is 27</u></em>

First number + twice the second number = 27

a + 2b = 27 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

a = 9 + b ------ eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

9 + b + 2b = 27

3b = 27 - 9

3b = 18

Divide both sides of equation by 3

<h3>b = 6</h3>

<em><u>Substitute b = 6 in eqn 3</u></em>

a = 9 + 6

<h3>a = 15</h3>

Thus the two numbers are 15 and 6

You might be interested in
I need help with my algebra fraction assignments. I need help with page 2, 3,4,5 and 7. I also have additional albebra fraction
PolarNik [594]

Answer:

Step-by-step explanation:

#2 the answer is B, -16/9

do 1/4-5/2

to do this, find the least common denominator. it's 4

1/4-10/4=-9/4

then divide 4 by -9/4. This is the same as 4*-4/9. That is -16/9

#3 the answer is A 9x/x-8

first factor the denominator of the first fraction using special products

x^2-6x-16=(x-8)(x+2)

if you look at the first fraction, you can simplify x+2 leaving you with the fraction 1/x+8

multiply that by 9x, and you get 9x/x-8

#4 the answer is C (2x+1)/2x^2

first add x/4 and 1/8

find the least common denominator. its 8

2x/8 + 1/8 is equal to (2x+1)/8

then multiply that by x^2/4 because dividing a fraction is the same as multiplying its reciprocal

you get (2x+1)/2x^2

#5 the answer is C (x-8)/(x+3)

using special products you can factor the numerator

x^2-4x-32 is the same as (x-8)(x+4)

then, using special products you can also factor the denominator

x^2+7x+12 is the same as (x+4)(x+3)

you can see that both the numerator and the denominator is multiplied by (x+4) you can simplify that. That leaves you with (x-8)/(x+3)

#7 the answer is D 3m

in the numerator in the second fraction, you can factor out 5m^2

leaving you with 5m^2(m-6)/5m^2. simplify the 5m^2 and the m-6

after you simplify both of those, you will get 3m

7 0
3 years ago
Please help! Giving Brainliest for the best answer!
klasskru [66]

Answer:

  • D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

Step-by-step explanation:

<em>See the picture for better visual</em>

Take segments ST and S'T'. If we extend them they will intersect at right angle.

It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.

The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.

<u>This rotation rule is:</u>

  • (x, y) → (y, -x)

We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.

<u>We now can conclude the correct choice is D:</u>

  • A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

8 0
3 years ago
Express the series using sigma notation. 2 - 6 + 18 – 54 + 162 ...
andrey2020 [161]
This is ur required result in attachment

4 0
3 years ago
Write and solve a system of equations that represents each situation. Interpret the solution. 
ValentinkaMS [17]
X - $5 bills
y - $10 bills

x + y = 12
y = 5x

x + (5x) = 12
6x = 12
x = 2

y = 5(2)
y = 10

10 $10 bills and 2 $5 bills
6 0
3 years ago
Read 2 more answers
A potential employer offers to pay you a starting salary of $55,000 a year, and guarantees a
balandron [24]

Answer:270,000

Step-by-step explanation:

i think

6 0
3 years ago
Other questions:
  • How many different arrangements of the letters in the word PARALLEL are there ?Type a numerical answer in the space
    5·1 answer
  • Calculate the volume of the solid. Round answer to the nearest hundredth.
    14·1 answer
  • Which term does not belong with the other three?
    11·1 answer
  • Write two verbal expressions for 2d
    10·2 answers
  • Which of the following represents the sum of the series? 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26
    14·1 answer
  • PLS rlly help match like terms
    7·1 answer
  • Evaluate the expression for the given value of the variable p2t4 for p=6
    12·1 answer
  • A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
    10·1 answer
  • Need help answering these questions
    5·1 answer
  • Can you help me I need to send this to my teacher like TODAY
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!