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
love history [14]
3 years ago
8

A candle is 10 in. tall after burning for 2 hours. After 3 hours, it is 8 1/2 in. tall. a. Write a linear equation to model the

height h of the candle after burning t hours. b. Predict how tall the candle will be after burning 6 hours.
Mathematics
1 answer:
GrogVix [38]3 years ago
3 0
The candle was 13 inches tall when it was first lit. It burns at a speed of 1.5 in. every hour. After burning for 6 hours it will be 4 inches tall.
You might be interested in
christian has a diecast metal car that is a scale model of an actual car. If the actual length of the car is 10 feet and 6 inche
Brilliant_brown [7]
So.... You would get your problem out of the numbers 10,6,7 you would  multiply and get 10*6*7=420  so 420 would be the answer if that's what your looking for!!
                           Hope i helped if i did please make me Brainiest 
5 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 33 ft long. She
qaws [65]
<h3>Answer:   16 ft by 25 ft</h3>

=========================================================

Explanation:

Refer to the diagram below.

The outer dimensions 24 ft and 33 ft shrink down to 24-2x ft and 33-2x ft respectively. This subtraction of 2x is due to subtracting two copies of x per side.

The carpet has area of (24-2x)(33-2x)

Cynthia can afford to buy 400 sq ft of carpet

So we set 400 equal to that previous expression and solve for x

(24-2x)(33-2x) = 400

24(33-2x) - 2x(33-2x) = 400

792-48x - 66x + 4x^2 = 400

4x^2 - 114x + 792 = 400

4x^2 - 114x + 792-400 = 0

4x^2 - 114x + 392 = 0

From here, use the quadratic formula to isolate x.

Plug in a = 4, b = -114, c = 392

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-114)\pm\sqrt{(-114)^2-4(4)(392)}}{2(4)}\\\\x = \frac{114\pm\sqrt{6724}}{8}\\\\x = \frac{114\pm82}{8}\\\\x = \frac{114+82}{8} \ \text{ or } \ x = \frac{114-82}{8}\\\\x = \frac{196}{8} \ \text{ or } \ x = \frac{32}{8}\\\\x = 24.5 \ \text{ or } \ x = 4\\\\

The two possible solutions are x = 24.5 and x = 4

But if x = 24.5, then 24 - 2x = 24 - 2*24.5 = -25 which isn't possible. We cannot have a negative width or negative length for the carpet.

Luckily x = 4 does work since

24 - 2x = 24 - 2*4 = 16

33 - 2x = 33 - 2*4 = 25

Both results are positive.

Therefore, the carpet has dimensions of <u>16 ft by 25 ft</u>

Check: 16*25 = 400, so the answer is confirmed

5 0
1 year ago
2x + 3y = 12<br> Complete the missing value in the solution to the equation.
Alja [10]

Answer:

x= 6- 3y/2            y= 4- 2x/3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which statement describes graph
AveGali [126]

Answer:

Step-by-step explanation:

There are no statements here

4 0
2 years ago
Please help. I can not figure it out. I will mark brainliest.
zhuklara [117]
(0,30), (1,20)
(20-30)/(1-0) = -10/1 = -10 slope
We know y intercept is 30
Equation: y = -10x + 30
6 0
2 years ago
Other questions:
  • Which expressions are equivalent to <br> −f−5(2f-3)<br> Choose all answers that apply
    11·1 answer
  • Landon is entering the science fair .he has a budget of $115 . He has spent 20% of the money on new materials .how much does he
    15·1 answer
  • On Monday the high was 60 degrees Fahrenheit. On Tuesday, the high was 18% more. How much did the high increase from Monday to T
    7·2 answers
  • Plz help. Only answer if you know.
    8·1 answer
  • What is the domain of (-1, 2), (3, -1), (-5, 2), (-3, -5)
    15·1 answer
  • Csctheta x tantheta= sectheta
    7·1 answer
  • Pls help, answer question in picture
    10·1 answer
  • A room is 12 CM long and 8 m broad. find the ratio of i) length to breadth II) breadth to length​
    13·1 answer
  • 10 One of the legs of a right triangle has vertices with coordinates (-2,4) and (10,0).
    10·1 answer
  • What is the relationship between x and y?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!