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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.

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

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!

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

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

Answer:

it changes because the radius has expanded

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]

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

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?

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]

Answer:

wheres the file or question?

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.

Answer:

(4x^2) - (2x)

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

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]

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

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b

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

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

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]

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

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:

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

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.

Answer:

Given:

Solving for y in steps

Multiply both sides by m:

Add 3b to both sides:

Divide both sides by 3:

Answer:

mark as brainliest and a like

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