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
blondinia [14]
3 years ago
6

The difference between two numbers is 5. three times the larger number is equal to four times the smaller number plus 6. what ar

e the two numbers
Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0
Let x and y represent the smaller and larger numbers, respectively.
  y - x = 5 . . . . . the difference is 5
  3y = 4x + 6 . . 3 times the larger is 4 times the smaller plus 6

Add x to the first equation to get an expression for y.
  y = x + 5
Use that in the second equation.
  3(x + 5) = 4x + 6
  3x + 15 = 4x + 6 . . . . . eliminate parentheses
  9 = x . . . . . . . . . . . . . . add -3x-6
  y = x+5 = 14

smaller number: 9
larger number: 14
You might be interested in
An employee makes a gross salary of 48,000 per year 15% of that money goes toward taxes of the employee invest 20% of his gross
kolezko [41]
First calculate his gross salary after his 401k contributions:
x = 48000 - (48000 \times 0.20) \\ x = 38400

Then find the amount of taxes withheld:
t = 38400(0.15) \\ t = 5760

5,760 dollars went towards taxes.
6 0
3 years ago
Read 2 more answers
The manager of a restaurant found that the cost to produce 200 cups of coffee is ​$65.00 ​, while the cost to produce 250 cups i
PIT_PIT [208]

Answer:

a). y = 0.25x + 15

b). x = 480 cups

Step-by-step explanation:

(a). Let the equation of the linear function passing through a point (x', y') is,

y - y' = m(x - x')

'm' = slope of the line

b = y-intercept

Two points lying on the linear function will be (200, 65) and (250, 77.5).

Slope of the line 'm' = \frac{y_2-y_1}{x_2-x_1}

m = \frac{77.5-65}{250-200}

   = \frac{12.5}{50}

   = 0.25

Therefore, equation of the line passing through (200, 65) and slope 0.25 will be,

y - 65 = 0.25(x - 200)

y - 65 = 0.25x - 50

y = 0.25x + 15

(b). For y = $135 we have to calculate the number of cups of coffee produced.

135 = 0.25x + 15

0.25x = 135 - 15

0.25x = 120

x = 480 cups

Therefore, 480 cups of coffee will be produced.

8 0
3 years ago
PLZ HELP!!! Find the measure of BAC
marysya [2.9K]

Answer:

<BAC = 20°

Step-by-step explanation:

It is given in the question that all 9 triangle which are formed are congruent, which means that in all triangles, the angle which is formed at point A is same.

Which means 9 angles collectively can be written as 9 · <BAC

If we consider all the 9 triangles, we can see in the figure that it forms a semicircle.

A semicircle has a total sum of angles equal to 180°

So we can write that:

9 · <BAC = 180°

Simplify for <BAC

<BAC = 20°

8 0
3 years ago
Write a linear function f with f(0) = 7 and f(3) =1.
Kipish [7]
(0,7) and (3,1) are points on the line.

Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁)

Slope of line passing through (0, 7) and (3, 1) = (1-7)/(3-0) = -2
4 0
3 years ago
Graph the slope of 3/4 and y intercept -1
amid [387]
Hey, I recommend use desmos!! It will graph this out!!!
5 0
3 years ago
Other questions:
  • Type this equation in standard form. 8y + 4 = -3x
    7·1 answer
  • Becky inherits $125,000 and decides to invest part of it in in an education account for her daughter and the rest in a CD. If th
    14·1 answer
  • What is -12 in the form of a/b where a and b are integers (Help me please)
    6·1 answer
  • Which is a correct first step for solving this equation? 8−2(3−x)=4x+6
    9·2 answers
  • Inter quartile range is
    7·1 answer
  • Given it's midpoint and one endpoint apply the midpoint formula and solve for x and y midpoint (22,15) endpoint (18,6
    6·1 answer
  • What are the dimensions of a 72in television with a 16:9 aspect ratio
    10·1 answer
  • Find the missing term and the missing coefficient 6a −( )5a =( ) a2 − 35a
    11·1 answer
  • Rewrite the equation so that y is a function of x. 2x+y = 7
    14·1 answer
  • ANSWER ALL PLEASEE NO EXPLANATION NEEDED! WILL GIVE BRAINLIEST FOR WHO EVER ANSWERS ALL OF THEM CORRECTLY!!!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!