A 10 1/2-inch candle burns down in 7 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.

Answers

Answer 1

The proportional formula for b is 3/2 in terms of t.

What is proportional equation?The equation y = kx represents a proportionate relationship between two quantities y and x that have the same proportionality constant, k. If an equation in another form can be rewritten as in the example above, then the relationship is proportional.Assume that b = kt is the equation.In light of the statement 10 1/2 = k.7So, k = 10 1/2 /7 =21/2 /7 => 3/2Therefore, the equation is b = 3/2t, where t is the proportionality factor.y = k x, where is the proportionality constant, is the equation that depicts a proportional relationship, or a line. Find k and create the equation by using k = y x from a table or graph. Tables, graphs, and equations can all be used to represent proportional relationships.

To learn more about proportional equation refer to:

https://brainly.com/question/24868934

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Related Questions

A packet of flour and a bag of onions have a total mass of 3.25kg.
3 similar packets of flour and 2 similar bags of onions weigh 9kg in all.
What is the total mass of 5 such packets of flour?​

Answers

Set flour =x and onions=y

We have

{ x + y = 3.25

{ 3x + 2y = 9

x= [tex]\frac{5}{2}[/tex]

y=[tex]\frac{3}{4}[/tex]

Good Luck

Picture shown!

Write a function to describe the following scenario.
Raw cake batter starts at a thickness of
2 centimeters in a pan but grows at
0.15 centimeters every minute in the oven.
How tall will the cake be after
a certain number of minutes?

Answers

Answer:

y = 0.15x + 2

Step-by-step explanation:

Let's say x represents the number of minutes and y represents the thickness of the cake.

No matter what, the cake will start at a thickness of 2 centimeters. Whatever thickness is added on/subtracted starts at 2 centimeters, so y = 2 + or - something.

Next, the batter grows by 0.15 centimeters every minute. This means that every minute, 0.15 centimeters are added to the thickness of the cake. This can be represented by

0.15 * x

Adding these two together, we get

y = 2 + 0.15 * x

y = 0.15 * x + 2

A class adviser surveyed 35 of his students on what kind of pets they have at home he found out that 15 have dogs 12 have cats and 8 have birds 5 have dogs and cats 4 have dogs and birds and 2 have cats and bids.how many have dogs ONLY

Answers

Step-by-step explanation:

With Dogs only: 15 - (5+4) = 6

With Cats only: 12 - (5+2) = 5

With Birds only: 8 - (4+2) = 2

With dogs and cats: 5

With birds and dogs: 4

With cats and birds: 2

With dogs, cats, and birds : 0

Total students surveyed: 35

6 + 5 + 2 +5 + 4 + 2 = 24 students with pets

35 - 24 = 11 students have no pets

Answer:

The answer is only 6 have dogs

Step-by-step explanation:

B + C + D - B∩C - B∩D - C∩D + B∩C∩D + x = 35

8 + 12 + 15 - 2 - 4 - 5 + 0 + x = 35

With Dogs only: 15 - (5+4) = 6

Just in case, we can calculate the others too:

With Cats only: 12 - (5+2) = 5

With Birds only: 8 - (4+2) = 2

With dogs and cats: 5

With birds and dogs: 4

With cats and birds: 2

With dogs, cats, and birds : 0

Total students surveyed: 35

6 + 5 + 2 + 5 + 4 + 2 = 24 students with pets

35 - 24 = 11 students have no pets

Last night, the two dinner specials at Regan's favorite restaurant were salmon filet and steak. The restaurant served 14 specials in all, 7 of which were the salmon filet. What percentage of the specials were salmon filets?
Helpppp pleaseee!

Answers

Answer:

50%

Step-by-step explanation:

Find what percent of the specials were salmon filets by dividing the number of salmon filets by the total number of specials:

7/14

= 0.5

So, 50% of the specials were salmon filets.

50% of the specials were salmon filets

Given the function f(x) = f(x - 1) + f(x - 3) for x > 1. Given that f(0) = f(1) = f(3) = 1. Find the value of f(4). Please include an explanation. Thanks! =)

Answers

Step-by-step explanation:

[tex]f(x)=f(x-1)+f(x-3)[/tex]

Substitute x=4,

[tex]f(4)=f(4-1)+f(4-3)=f(3)+f(1)=1+1=2[/tex]

Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; Y-intercept = 6
What is the equation of the line?
y =

Answers

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slopeb = y-intercept

Therefore, the equation is y = -9x + 6.

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b where m = slope and b = y-intercept

Our slope is -9 and our y-intercept is 6

Therefore our equation is y = -9x + 6

Why is it helpful to use a problem-solving plan to solve problems?

Answers

Answer:

its helpful to plan out what youre going to do before you do it, as it can get confusing and you may get lost in the process if you dive right into it

It takes 6 boys 15 days to clean a field on a small plot. How long will it take 8 boys?​

Answers

Answer:

20 days

Step-by-step explanation:

Time to clean field for 6 boys=15days

Time to clean field for 1 boy=15/6 days

Time to clean field for 8 boys=15/6 × 8 days

Time to clean field for 8 boys=120/6 days

Answer=20 days

Note:if you need to ask any question please let me know.

Solve for y.

3(y − 8) + 2 = 8

y =

Answers

Answer:

y = 10

Step-by-step explanation:

3(y − 8) + 2 = 8

3y - 24 + 2 = 8

3y - 22 = 8

3y = 8 + 22

3y = 30

y = 10

The length, L cm, of a line is measured as 13 cm correct to the nearest centimetre, Complete the following statement to show the range of possible values of L

Written in
[tex] \leqslant x < [/tex]


Answers

Answer:

12.5≤x<13.5

Step-by-step explanation:

below 12.5, it would round down to 12

13.5 and above, it would round up to 14

check out the attachment

lol hi?

1st one to help me with my homework wins brainliest!! Help please!!!

Answers

first one is 1 7/8 i think lol

If there are 5380 feet in a mile Express 4000 get In kilometers

please show how you go it​

Answers

Answer:

ok first there is a problem here there are actually 5280 NOT 5380 feet in a mile. Is this a typo or are you to assume a different length of a mile?

I will stick with the real value of 5280...

5280 feet/ mile * 0.62137119 miles/ km = 3280 f/km

3280 f/km / 4000 feet = .82 km

Step-by-step explanation:

(x²+4x+4)/(x+2)
algebraic expressions class 8
no spamms​

Answers

Answer:

x+2

Step-by-step explanation:

[tex] \frac{x ^{2} + 4x + 4 }{x + 2} \\ \frac{(x) ^{2} + 2 \times x \times 2 + (2) ^{2} }{x + 2} \\ \ \frac{(x + 2) ^{2} }{x + 2} \\ \frac{(x + 2)(x + 2)}{x + 2} \\ x + 2[/tex]

x= 3(y-b)/m solving for y

its 3(y-b) over m

Answers

Answer:

Given:

x = 3(y - b)/m

Solving for y in steps

Multiply both sides by m:

mx = 3y - 3b

Add 3b to both sides:

mx + 3b = 3y

Divide both sides by 3:

(1/3)mx + b = yy = (1/3)mx + b

Carleen has 104 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 8 kids on her block

Answers

Answer:

x=104/8

Step-by-step explanation:

If there is 104 candies and 8 people when we divide 104 by 8 we can distribute 13 to each person

Simplify the following expression:

Answers

Answer:

3x^2-15y-10x

Step-by-step explanation:

2x-12x-8y+7y+3x^2

-10x-15y+3x^2

3x^2-15y-10x

Answer:

[tex] = 3 {x}^{2} + 10x - y[/tex] (last option)

Step-by-step explanation:

[tex]2x - 8y + 3 {x}^{2} + 7y - 12x[/tex]

[tex]2x - 12x = (2 - 12)x = - 10x[/tex]

[tex] - 10x - 8y + 3 {x}^{2} + 7y[/tex]

[tex] - 8 + 7y = ( - 8 + 7)y = - 1y = - y[/tex]

[tex] = 3 {x}^{2} + 10x - y[/tex]

these are the four terms of the sequence 29,32,35,38. the question is write down the next term​

Answers

The next term after 38 would be 41. You are just adding 3 to each number

Which equation is equivalent to the equation ?

Answers

Answer:

wheres the file or question?

how does the surface area of a cone change if the radius doubles?
how would you solve this algebraically?

Answers

Answer:

it changes because the radius has expanded

Find angle A and angle E

Answers

Answer:

m∠A = 50°

m∠E = 50°

Step-by-step explanation:

7x - 17 and 2x + 8 are same side exterior angles. They have a sum of 180°.

7x - 17 + 2x + 8 = 180

9x - 9 = 180

9x = 189

x = 21

∠A and 7x - 17 are supplementary. ∠E and 2x + 8 are vertical angles.

m∠A + 7x - 17 = 180

m∠A + 7(21) - 17 = 180

m∠A + 147 - 17 = 180

m∠A + 130 = 180

m∠A = 50

m∠E = 2x + 8

m∠E = 2(21) + 8

m∠E = 42 + 8

m∠E = 50

Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and points***

I have a question: I have to write an assessment in maths and English and I wonder what kind of topics will come up? Like what should I learn and if anyone has a practice sheet or something.. (sixth from/College)

Answers

I personally think that the questions will be everything you’ve learned previously so I suggest u study as much as u can

3. If f(x) = 5x^2 find i) f(3)×f(2) and find x if f(x) = 2.​

Answers

Answer:

mark as brainliest and a like

3(s-5)/4 -3 = 4s- (s-3)/2
answer fast meenu sister ​

Answers

Answer:

18

Step-by-step explanation:

3(s-5)/4 -3 = 4s- (s-3)/2

open the bracket

3s-15/4-3 =45-s-3/2

3s-15/1=42-s/2

cross multiply

2(3s-15)=42-s

3s-30=42-s

3s+s=42+30

4s=72

s=18

Answer:

s = -45/13

Step-by-step explanation:

3(s - 5)/4 - 3 = 4s - (s - 3)/2

(3s - 15)/4 - 3 = (8s - s + 3)/2

(3s - 15)/4 - 3 = (8s + 3)/2

3(s - 5)/4 - 3 = 3((8/3)s + 1)/2

3[(s - 5)/4 - 1 ] = 3((8/3)s + 1)/2

(s - 5)/4 - 1 = ((8/3)s + 1)/2

(s - 5)/4 - 4/4 = ((8/3)s + 1)/2

(s - 5 - 4)/4 = ((8/3)s + 1)/2

(s - 9)/4 =((8/3)s + 1)/2

(s - 9) = ((8/3)s + 1)(2)

s - 9 = (16/3)s + 2

s - (16/3)s = 6 + 9

(-13/3)s = 15

s = -45/13

Find the missing variable if 13-4x=1-x

Answers

Answer:

X=4

Step-by-step explanation:

Move the variable to the left side

13-4x+x=1

Subtract 13 on both sides

13-4x+x=1

-13         -13

Collect the like terms

-3x= -12

Divide both side4s by -3

-3x/-3= -12/-3

Answer:

X=4

divie 8x^4-4X^3/2x^2

Answers

Answer:

(4x^2) - (2x)

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Find the perimeter. Simplify your answer.
4p-1
4p-1
4p-1
4p-1

Answers

4(4p-1)
Perimeter is 16p-4

What is the answer to (6+4)tothe3power-1tothe8power

Answers

Hey there!

[tex]\huge\boxed{(6 + 4)^3 - 1^8}[/tex]

[tex]\huge\boxed{= 10^3 - 1^8}[/tex]

[tex]\huge\boxed{10^3}[/tex]

[tex]\huge\boxed{= 10\times10\times10}[/tex]

[tex]\huge\boxed{= 100\times10 }[/tex]

[tex]\huge\boxed{= 1,000}[/tex]

[tex]\huge\boxed{1^{8}}[/tex]

[tex]\huge\boxed{= 1\times1\times1 \times 1 \times 1 \times 1 \times 1 \times 1}[/tex]

[tex]\huge\boxed{= 1 \times 1 \times 1 \times 1}[/tex]

[tex]\huge\boxed{= 1\times1}[/tex]

[tex]\huge\boxed{= 1}[/tex]

[tex]\huge\boxed{1,000 - 1}[/tex]

[tex]\huge\boxed{= 999}[/tex]

[tex]\huge\text{Answer: \textsf{999}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

50 POINTS PLUS BRAINLIST
20-22
IN each figure P bisects the segment. Find the value of each variable
20.
PLEASE HELP!!

Answers

Answer:

20.

As P is the mid point so

2x + 3 = x + 7

transpose

2x - x = 7 -3

x = 4

21.

4x + 3 = 8x - 11

transpose

4x - 8x = -11 -3

-4x = -14

x = 14/4

x = 7/2

x can also be 3.5

22.

7x - 3 = 5x + 2

transpose

7x - 5x = 2 + 3

2x = 5

x = 5/2

x can also be 2.5

Answer and Step-by-step explanation:

19.

We see that AB bisects PQ, forming the two angles we are given. These two added together is equal to 180 (because they are supplementary angles, which add up to 180 degrees).

So, add them together, set it to 180, and solve for x.

6 + 2x + 4 = 180

Combine like terms.

10 + 2x = 180

Subtract 10 from both sides from the equation.

2x = 170

Divide by 2 on both sides of the equation.

x = 85 <- This is the answer.

For the following problems, since we know that point P is bisecting the segments, it means that it is splitting the segment in half, creating two equal parts. This means that all we have to do is set the two segments equal to each other.

20.

2x + 3 = x + 7

Subtract 3 and subtract x from both sides of the equation.

x = 4 <- This is the answer.

21.

4x + 3 = 8x - 11

Add 11 and subtract 4x to and from both sides of the equation.

14 = 4x

Divide by 4 from both sides of the equation.

x = [tex]\frac{14}{4} =\frac{7}{2} =(3.5)[/tex] < - This is the answer.

22.

7x - 3 = 5x + 2

Subtract 5x from both sides of the equation and add 3 to both sides of the equation.

2x = 5

Divide both sides by 2.

x = [tex]\frac{5}{2} = 2.5[/tex] <- This is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

. Strengthening Vinegar: A food chemist has 200 gallons of
vinegar that is 4% acetic acid. How much acetic acid must be
added to get the acetic acid up to 5%?

Answers

40/19 gallons
(forty over nineteen gallons)

How hectometers equals 102 what

Answers

10200 and meters, I assume I answered the last one too
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