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
Sindrei [870]
3 years ago
14

Write an equation that you can use to find the number of refills Keith bought. A restaurant sells a coffee refill mug for $6.75.

Each refill costs $1.25. Last month Keith spent $31.75 on a mug and refills. (use x for your variable and do not use $ in your answer) *
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0

Answer:

<h2> 6.75+1.25x=31.75</h2>

Step-by-step explanation:  

let x be the number of refils

also given is that the cost of one refill is $1.25

hence the total refil will be 1.25x

given that the cost of a mug is $6.75

6.75+1.25x=31.75

therefore  the expression that can be used to solve for the number of refills is

6.75+1.25x=31.75

 

You might be interested in
Numbers that add to -0.5 and multiply to 1
Oliga [24]
Short Answer
There are two numbers
x1 = -0.25 + 0.9682i   <<<< answer 1
x2 = - 0.25 - 0.9582i   <<<< answer 2 
 
I take it there are two such numbers.
Let one number = x
Let one number = y

x + y = -0.5    
y = - 0.5 - x       (1)
xy = 1               (2)

Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1               Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0          Order these by powers
-x^2 - 0.5x -1 = 0           Multiply though by - 1
x^2 + 0.5x + 1 = 0         Use the quadratic formula to solve this.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 1
b = 0.5
c = 1


\text{x = }\dfrac{ -0.5 \pm \sqrt{0.5^{2} - 4*1*1 } }{2*1}

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i

x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i

These two are conjugates. They will add  as x1 + x2 = -0.25 - 0.25 = - 0.50.

The complex parts cancel out.  Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.

Check
(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375

Notice
The two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.

The final result is 0.9375 and 0.0625 add up to 1
 
7 0
3 years ago
How many ways can 6 people be seated in 4 seats
mojhsa [17]

switting upwards this should help



5 0
3 years ago
Look at the figures. How can you prove these triangles are congruent?
Novosadov [1.4K]

Answer:

A. \Delta ABC\cong \Delta DEF by the SAS postulate.

Step-by-step explanation:

We have been two triangles. We are asked to determine the theorem by which both triangles could be proven congruent.

We can see that side DF of triangle DEF is equal to side AC of triangle ABC.

We can also see that side BC of triangle ABC is equal to side EF of triangle DEF.

The including angle between sides AC and BC of triangle ABC is equal to the including angle between sides DF and EF of triangle DEF.

Since both triangles have two sides and their included angles equal, therefore, triangle ABC is congruent to triangle DEF by SAS (Side-Angle-Side) congruence and option A is the correct choice.

5 0
3 years ago
Help me!!!<br> im stuck here<br> if you could help me answer this then please do!!!1
kondaur [170]

Answer:

123.4

Step-by-step explanation:

So I added all of the numbers then divide by how many numbers there was so I divided by 5 because I also counted the x as part of it.

3 0
3 years ago
Suppose you and your colleagues have identified three reliable and recent polls. Looking at the results of all three, you find t
andre [41]

Answer:

The answer is "Pretty confident our candidate will win".

Step-by-step explanation:

All the following theories:  

H_o: The loss of our candidate  

H_a: Our candidate  

P values of 0.058, 0.026 and 0.045 are defined.  

All values are below 0.10, but 2 of them will be below 0.05, which indicates very good proof of Ha.  Therefore, the right reply is that our candidate will win very comfortably.

3 0
3 years ago
Other questions:
  • Some students were asked what kinds of animals they have at home.
    8·1 answer
  • A line passes through the points (−1, −2) and (−2, −6) .
    7·1 answer
  • Garth estimated the height of the door to his classroom in meters .What is a reasonable estimate?
    12·2 answers
  • Consider the equation Y=-2x+5 Create a table of five ordered pairs that satisfy the equation. What is the slope of the line repr
    12·1 answer
  • Plz solve this question and pls show your work
    15·2 answers
  • The probability for success of an event is P(A), and the probability of success of a second event is P(B). What is the probabili
    8·2 answers
  • The perimeter of a rectangle is 24 centimeters.Its length is 9 centimeters. Find the width
    9·1 answer
  • Joshua had two-sevenths of all the goals scored by is soccer team. His team scored 28 goals this past season. How many goals did
    9·1 answer
  • If one of the acute angles of a right angled triangle is 55 , calculate the remaining angle​
    13·1 answer
  • URGENT! find the sum. the answer is not D​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!