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
WINSTONCH [101]
3 years ago
9

One number is 9 more than another. if the sum of the two numbers is 171, find the two numbers

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0
Let x be the 1st number
x + 9 be the second number

Equation:
x + x+9 = 171

Solution:
2x + 9 = 171
2x = 171 - 9
2x = 162
x = 81
x + 9 = 90

81 + 90 = 171
You might be interested in
X/2-1/5=x/3+1/4<br>solve this equation ​
Alekssandra [29.7K]

Answer:

x=\frac{27}{10}

Step-by-step explanation:

\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}

\frac{x}{2}-\frac{1}{5}-\frac{x}{3}=\frac{x}{3}+\frac{1}{4}-\frac{x}{3}

-\frac{1}{5}+\frac{x}{6}=\frac{1}{4}

-\frac{1}{5}+\frac{x}{6}+\frac{1}{5}=\frac{1}{4}+\frac{1}{5}

\frac{x}{6}=\frac{9}{20}

\frac{6x}{6}=\frac{9\times \:6}{20}

x=\frac{27}{10}

3 0
3 years ago
Read 2 more answers
Help ASAP!!! Savings Account.Christine Chu borrowed $4500 from a bank at a simple interest rate of 2.5% for one year.
nydimaria [60]

Answer: $112.50 ; $4612.5

Step-by-step explanation:

a) Determine how much interest Christine paid at the end of 1 year.

This will be:

Simple interest = PRT/100

where

P = principal = $4500

R = rate = 2.5%

T = time = 1 year

Interest = (4500 × 2.5 × 1)/100

= 11250/100

= $112.50

b) Determine the total amount Christine will repay the bank at the end of 1 year.

Total amount = Principal + Interest

= $4500 + $112.50

= $4612.5

7 0
3 years ago
A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = y equals negative StartFractio
Natali5045456 [20]

Answer:

y=-\frac{5}{3} x+\frac{10}{3}  or what is the same: 5x+3y=10

Step-by-step explanation:

First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: slope=\frac{10-5}{-4-(-1)} =\frac{5}{-3} =-\frac{5}{3}

Now we use this slope in the general form of the slope- y_intercept of a line:

y=-\frac{5}{3} x+b

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

y=-\frac{5}{3} x+b\\5=-\frac{5}{3} (-1)+b\\5=\frac{5}{3}+b\\5-\frac{5}{3}=b\\b=\frac{10}{3}

Therefore, the equation of the line in slope y_intercept form is:

y=-\frac{5}{3} x+\frac{10}{3}

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

y=-\frac{5}{3} x+\frac{10}{3}\\3*y=(-\frac{5}{3} x+\frac{10}{3})*3\\3y=-5x+10\\5x+3y=10

3 0
3 years ago
Read 2 more answers
The table shown below shows some values for functions f(x) and g(x). What is/are the solution(s) to f(x)=g(x)? Explain your answ
aleksandr82 [10.1K]

Answer: x = -1 and x = 1

Step-by-step explanation:

The solution to f(x) = g(x) is the point at which the two intersect , that is , the point at which they are equal. Checking through the table given ,it is only 9 and 12 that is common to both f(x) and g(x) .

Therefore : the solution to f(x) = g(x) is the point where x = -1 and x = 1

5 0
3 years ago
18 minus 7 x = negative 20.5 What is the value of x? Negative 5 and one-half Negative StartFraction 5 Over 14 EndFraction StartF
alisha [4.7K]

Answer:

x = 5.5  (Fraction 5 and one-half)

Step-by-step explanation:

18 - 7x = -20.5

-18            -18

-7x = -38.5

/-7         /-7

x = 5.5

3 0
3 years ago
Other questions:
  • Rewrite the function W= 50+2.3(h-60) in order to express height as a function of weight
    6·1 answer
  • Special right triangles
    7·2 answers
  • Why do you divide area of the circle by 2
    7·1 answer
  • When simplified, what is the value of square root of negative 45 end square root,if i2 = −1?
    10·1 answer
  • Craig took a bus from a to point b. If the bus charges $5 plus 25cents per miles, Craig paid $17.50,how far did he travel?​
    10·1 answer
  • Which of these are arithmetic sequences?
    15·1 answer
  • 5.<br> Write an equation of the line that passes through (4,−1) and is parallel to the line y=3x+7.
    13·1 answer
  • Jess deposited $5,000 into an account that earns simple interest. After 9 years, Jess had earned $3,150 in interest. What was th
    15·2 answers
  • Help me with this please
    10·1 answer
  • Please just help me simplify these NOT SOLVE THEM IF AT ALL POSSIBLE! THANKS!!!​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!