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
zubka84 [21]
3 years ago
11

Eight times a number increased by 9 exceeds 7 times the number by 15. Find the number.

Mathematics
2 answers:
Pavel [41]3 years ago
8 0

Remark

Reading the problem is more than 1/2 the trouble you will have with this question.

Start phrase by phrase.  Let the number = x

The first phrase is 8 times a number so that is 8x

increased by 9. So that is 8x + 9

exceeds 7 times the number 8x + 9 - 7x

by 15 (translate that to equals 15)

Equation

8x + 9  -  7x = 15      Combine like terms.

x + 9 = 15                  Subtract 9

x = 15 - 9

x = 6


Alborosie3 years ago
5 0
Turn it into math terms bit by bit. let x be "a number"

8 times a number is 8×x

increased by 9 is +9

7 times a number is 7×x

exceeds is minus

by 15 is =15

now we put it together.

8 \times x + 9 - 7 \times x = 15
solve
8x + 9 - 7x = 15 \\ x + 9 = 15 \\ x = 6
You might be interested in
For which values of k does the system of linear equations have zero, one, or an infinite number of solutions? [Note: not all thr
viktelen [127]

Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)

The system of linear equations can have zero, one, or an infinite number of solutions:

simplify equation (1):

x_{2}=3x_{1} -2

substitute in equation (2), we get

9x_{1} -3(3x_{1}-2)=k\\9x_{1} -9x_{1}+6=k\\0+6=k

we cannot find the value of x_{1} and x_{2}.

so, there is no solution.

Multiply the equation (1) with 3 and put k is 6,

3(3x_{1} -x_{2})=3\times2\\9x_{1} -3x_{2})=6

it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

4 0
3 years ago
Which expression is the simplest form of -(2x + y) + 3(x - 4y)?
xenn [34]

Answer:

The answer is x - 13y

Step-by-step explanation:

6 0
2 years ago
Find the equation of the line
amm1812

Answer:

y = 2x - 7

Step-by-step explanation:

The question is asking for slope-intercept form, y = mx + a.

Given:

(1, -5) and (9, 11)

Find the slope (m) between the two points:

m = (y2 - y1) / (x2 - x1)

x1 = 1

x2 = 9

y1 = -5

y2 = 11

m = ( 11 - (-5) )/(9 - 1)

= 16/8

m = 2

y = 2x + a

Use one of the two points to find a (I will use (1, -5)):

-5 = 2(1) + a

-5 = 2 + a

-7 = a

a = -7

y = 2x + (-7)

y = 2x - 7

7 0
2 years ago
Y=5*2^x describe the graph of the function
vladimir2022 [97]
The graph is quadratic
 
3 0
2 years ago
Read 2 more answers
WILL GIVE BRAINLIEST. Explain how you would prove that this is an identity. (Please explain in understandable terms)
gtnhenbr [62]

Answer:

Step-by-step explanation:

I would first expand out the numerator since it would become \sin^{2} x+2\sin x \cos x+\cos^{2}x, which would allow me to use the double angle formula for sine and the Pythagorean identity.

4 0
2 years ago
Other questions:
  • Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two
    5·1 answer
  • Rewrite without rational exponents, and simplify, if possible   (x²y²)1/7    
    5·1 answer
  • 3 is an odd number and 2 is a even number
    12·1 answer
  • Please whoever knows they can solve this, help!
    6·2 answers
  • In the diagram, point D is the center of the medium-sized circle that passes through C and E, and it is also the center of the l
    14·1 answer
  • Which of these tables represents a function?
    11·1 answer
  • What does an equation have that an expression doesn't?
    12·2 answers
  • The ordered pairs
    9·1 answer
  • Hi guys im stuck on this maths question<br><br> (2/5)^-3
    10·2 answers
  • PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!