Write an equation in the form that makes the most sense for the information given. Since the beginning of fall, the little tree in front of Mrs. Wenger's house loses 12 more leaves everyday. After 5 days, it had only 208 leaves remaining.

Answers

Answer 1

Answer:

0 = 208 - 12x

Step-by-step explanation:

Since after 5 days the tree only had 208 leaves remaining, assuming that the rate of decay is constant, we can use the following equation to calculate the total number of days (starting at the 5-day mark as 0) until the tree loses all of its leaves. In this equation, the total number of days is represented by the variable x.

0 = 208 - 12x

Now that we have the equation we can solve it...

0 = 208 - 12x ... subtract 208 on both sides

-208 =  -12x   ... divide both sides by -12

17.33 = x

Finally, we can see that after 18 days (not 17.33 because we are counting full days) the tree will have lost all of its leaves.


Related Questions

Select the step in the solution that FIRST shows an error.
Step 1: 4x – 10 = 10
Step 2: 4x = 20
Step 3: 4x = 5
Step 4: X = 1.25
Step 1
Step 2
Step 3
Step 4

Answers

Answer:Step 3

Step-by-step explanation:

determine the slope of the line that passes through each pair of points. (-2,1) and (0,-2)

Answers

Answer:

slope = - [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 2)

m = [tex]\frac{-2-1}{0+2}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]

The equation f equals 9/5 C + 32 relates temperature measured in degrees celsius C to degrees Fahrenheit f Determine whether there is a proportional relationship between C and F explain your reason

Answers

Given:

[tex]F=\dfrac{9}{5}C+32[/tex]

where, F is degree Fahrenheit and C is degree Celsius.

To find:

Whether there is a proportional relationship between C and F.

Solution:

We know that, proportional relations is defined as

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

So, the line of proportional relationship passes through (0,0) and the equation must be true for (0,0).

If there is a proportional relationship between C and F, then the equation must be true for (0,0).

Substituting F=0 and C=0 in the given equation, we get

[tex]0=\dfrac{9}{5}(0)+32[/tex]

[tex]0=0+32[/tex]

[tex]0=32[/tex]

This statement is false because [tex]0\neq 32[/tex].

It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.

Hence, there is not a proportional relationship between C and F.

Bart wants to rent a car. The fee is $25 plus $0.55 per mile. He has budgeted $212 for the car. Write an
inequality to show how much he can spend for the car.

Answers

Answer:

25 + 0.55x ≤ 212

Step-by-step explanation:

Bart can only spend 212, hence the less than or equal to symbol. The cost of using the car must be at most 212, so 25 and 0.55x are on the same side. 0.55x represents the cost of driving an unknown amount of miles.

Triangle LMN with vertices L(0, 3), M(3, 4), and N(1, 2): a) 180° rotation about the origin b) dilation with scale factor of 2 using the origin as the center

Answers

Answer:

[tex]L" = (-6,0)[/tex]   [tex]M" = (-8,-6)[/tex]   [tex]N" = (-4,-2)[/tex]

Step-by-step explanation:

Given

[tex]L = (0,3)[/tex]

[tex]M = (3,4)[/tex]

[tex]N = (1,2)[/tex]

Required

Determine the new coordinates of L, M and N

Applying (a): 180 degrees rotation about the origin

When [tex](x,y)[/tex] is rotated about 180 degrees, the new point becomes [tex](-y,-x)[/tex]

So:

[tex]L = (0,3)[/tex] ==> [tex]L' = (-3,0)[/tex]

[tex]M = (3,4)[/tex] ==> [tex]M' = (-4,-3)[/tex]

[tex]N = (1,2)[/tex] ==> [tex]N' = (-2,-1)[/tex]

Applying (b): Dilation of scale factor, 2

The formula to apply here is;

[tex]New = Old * Scale\ Factor[/tex]

So:

[tex]L' = (-3,0)[/tex] becomes:

[tex]L" = L' * 2[/tex]

[tex]L" = (-3,0) * 2[/tex]

[tex]L" = (-6,0)[/tex]

[tex]M' = (-4,-3)[/tex] becomes:

[tex]M" = M' * 2[/tex]

[tex]M" = (-4,-3) * 2[/tex]

[tex]M" = (-8,-6)[/tex]

[tex]N' = (-2,-1)[/tex]

[tex]N" = N' * 2[/tex]

[tex]N" = (-2,-1) * 2[/tex]

[tex]N" = (-4,-2)[/tex]

Hence;

The new coordinates are:

[tex]L" = (-6,0)[/tex]

[tex]M" = (-8,-6)[/tex]

[tex]N" = (-4,-2)[/tex]

Question 11 (1 point)
(03.03 LC)
Look at triangle ABC.
y
A (4,5)
4 3
2

C (4.2)
1
5 -4 -3 -2 -1 0
1 2 3 4 5
-1
-2.
-3
-5
What is the length of side AB of the triangle? (1 point),
a
Oь 3 3
6

Answers

Answer:

3

3 ok im

Step-by-step explanation:

please help :) im stupid and bad at this lol
(i meant to put english not math)

name the four types of transition words and what type of relationship each shows.​

Answers

Answer:

Addition. “Also, I have to stop at the store on the way home.” ...

Comparison. “In the same way, the author foreshadows a conflict between two minor characters.” ...

Concession. “Granted, you did not ask ahead of time.” ...

Step-by-step explanation:

can you please help meee ,due at 11!

Answers

Answer:

x-intercept: -1/2

y-intercept: 5/2

Step-by-step explanation:

PLEASE PLEASE HELP ME ! Jerry wants to buy his grandpa's old car for $500.00. He works 10 hours a week
at $7.50 an hour. How many weeks will he need to work before he earns enough
money to buy the car? Write and equation

Answers

Answer:

Step-by-step explanation:

Needs $500  Makes 7.50 and works 10 hours week.

7.50*10= $75.00 a week

500/75= 6.6 weeks or 6 weeks and 2/3 of a week. I'd round to 7 weeks.

75(x)=500   X= weeks needed.

75x=500 if you divide 500 by 75

x=20/3 or 6.6

Mother has purchased 75 yards of green fabric and 125 yards of white fabric to make green and white curtains. What is the largest number of curtains she can make if she wants all the curtains to be exactly the same length, and to have no fabric left over? How many yards of each kind of fabric would be used for each curtain?

Answers

Answer:

I don't fing know.

Step-by-step explanation:

Answer:

It would be 125 divided by 75.

Can Anybody Help With Geometry Work?

Answers

the answer would be AAG

Apples cost $1.47 per pound. Danielle buys an apple that weighs 0.62 pound. To the nearest cent, how much does Danielle’s apple cost?

Answers

Answer:

91 cents

Step-by-step explanation: Just a hunch

The amount that Danielle’s apple cost is $0.91.

Using this formula

Cost=Sales price per pound× Weight per pound

Where:

Sales price per pound=$1.47

Weight in pound=0.62 pound

Let plug in the formula

Cost=$1.47×0.62

Cost=$0.91

Inconclusion the amount that Danielle’s apple cost is $0.91.

Learn more here:

https://brainly.com/question/22214116

NEED HELP NEED HELP please if you know show me how you got the answer

Answers

Answer:

It says to Graph y = 1/2x - 4

So equation y = 1/2x - 4

this corresponds to slope intercept form which is y = mx + b

M = slope = rise / run

B =  y - intercept

First, start at the origin, (0,0)

Then go down 4, you should now be on the coordinate (0,4)

Now we need to use the slope.

The slope is 1 / 2, this means rise 1, run 2 (in this case 2 to the right because it is positive)

So, start at (0 , 4) and go up 1 unit then 2 to the right, then place a dot, keep repeating until you meet the end of the paper.

Then do the opposite so that you can graph the other side.

Down 1 and 2 to the left.

Answer:

Graph Points (0.-4) and (8,0) and connect the dots into a line

Step-by-step explanation:

To graph y=1/2x-4 you will need to find the y and x-intercept. To find an intercept you have to substitute the x and y variables with 0 one at a time. I first substitute the x variable with an 0 and got the equation y=-4 so my y-intercept is (0.-4). Then I substituted the y variable with 0 and got 0=1/2x-4, I added 4 on each side to get rid of it and got 4=1/2x. I then multiplied both sides by 2 to get the x by itself and got 8=x so my x-intercept is (8,0). Whenever your graphing slope-intercept form equations just find the y and x-intercepts, graph them, connect the dots.

Hope this helps you

2. How many solutions does the system have?
y - 4x = -3
2y - 8x = 10
a. one solution
b. two solutions
c. infinitely many solutions
d. no solution

Answers

Answer:

no solution both

Step-by-step explanation:

Infinite solutions because any number can substitute x

Please help with this question; I need to prove to my parents I am not as much of a disappointment to them as they think I am.

Answers

Answer:

ΔABD ≅ ΔCBD by SAS Congruence Postulate (Option C)

Step-by-step explanation:

In ΔABD & ΔCBD ,

1) AD = CD = 15 units

2) ∠ADB = ∠CDB (∵ BD is angle bisector)

3) BD = BD (common side)

∴ ΔABD ≅ ΔCBD by SAS congruence postulate.

Answer:

Triangles ABD and CBD are congruent by SAS.

Step-by-step explanation:

Sides AD and CD are congruent since they both measure 15.

Angles ADB and CDB are congruent because of the angle bisector.

Side DB is congruent to itself.

By SAS, triangles ABD and CBD are congruent.

Answer: Triangles ABD and CBD are congruent by SAS.

Helppppp me plzzzzzzzzzzz somebody

Answers

Answer:

(2,0)

Step-by-step explanation:

On the x-axis, the point is at 2. The point has a y-value of 0, as it's on the x-axis.

The answer above is correct my dude

What is the slope, m, and y-intercept for the line that is plotted on the grid?

Answers

Answer:

the slope and m is 2 and the y intercept is 4

Step-by-step explanation:

Remember y=mx+b

The Corner Market will sell 3 papayas for $3.75.

The unit rate is

The slope of the line that best represents the cost of papayas is

The unit rate and the slope of the line represent the

Answers

Answer:

The cost of papayas each is 1.25

Step-by-step explanation:

Hope this helped

describe a real-world situation that models the multiplication expression 20(-1).

Answers

Basically you can write taking from something or using something 20 times. Here are three examples.

You borrowed 1 dollar from someone 20 times. You descend 1 meter at a time (like a submarine).There are 20 candies in the jar. Each day you eat 1 candy.

Sally bought 124 sheets of stickers. Each sheet had 14 stickers. She gave away 204 stickers to her family and friends on Christmas. How many stickers does Sally have remaining?

Answers

Answer:

Sally has 1,532 stickers remaining.

Step-by-step explanation:

First, you have to determine the total amount of stickers Sally bought by multiplying the number of sheets she bought for the number of stickers in each sheet:

124*14=1,736

Now, you have to subtract the number of stickers Sally gave away to her family and friends from the total amount of stickers she bought:

1,736-204=1,532

According to this, the answer is that Sally has 1,532 stickers remaining.

The fraction 3/8 is closest to which benchmark?


zero
one-half
seven-eights
one

Answers

Answer:

I would say one-half

Step-by-step explanation:

because its 3/8 and is close to 4/8 which is equal to 1/2

Answer:

1/2

Step-by-step explanation:

1/2 × 4 = 4/8 jdvegeje shhe

(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have? ( can you show work please)

Answers

she will have 9 pieces i’m sorry but i don’t have the work

Machine B covers 2/3 square feet in 1/5 hours

Answers

Answer:

He covers 10/3 or 3 1/3 square feet in 1 hour

Step-by-step explanation:

Seance he covers 2/3 feet in 1/5 hours 2*5 will give you 10 so you have 10/3

WILL GIVE BRAINLIEST!!!!! Use the system of equations to answer the questions. 2x + 3y = 3 y = 8 – 3x The value of y from the second equation is substituted back into the first equation. What is the resulting equation? What is the value of x? What is the value of y?

Answers

Answer:

x=3 y=-1

Step-by-step explanation:

2x+3y=3;y=8−3x

Rewrite

y=−3x+8 2x+3y=3

Step: Solvey=−3x+8 for y:

y=−3x+8

Step: Substitute−3x+8foryin2x+3y=3:

2x+3y=3

2x+3(−3x+8)=3

−7x+24=3(Simplify both sides of the equation)

−7x+24+−24=3+−24(Add -24 to both sides)

−7x=−21

−7  - 7

x=3 (Divide both sides by -7)

x=3

Step: Substitute3forxiny=−3x+8:

y=−3x+8

y=(−3)(3)+8

y=−1(Simplify both sides of the equation)

this might be confusing but you gotta study :)

Find the measure of side b. (Round the answer to the nearest whole number)

Answers

Answer:

119 inches

Step-by-step explanation:

cos 42° = [tex]\frac{b}{160}[/tex]

b = 160 × cos 42° ≈ 119 in.

If you are doing a gift exchange, and everyone has to spend at least 10 dollars but less than 20 dollars, what inequality represents the situation

Answers

Answer:

10≥x<20

Step-by-step explanation:

Use the distributive property to expand the following expression.
-2(2.1x+3y-1.8)
WILL MARK BRAINLYEST

Answers

-4.2-6y+3.6
Sorry for my writing

What are the equations of the asymptotes of the hyperbola?


[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1


Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.

Answers

Answer:

hyperbola?

[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1

Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.

Jackson kitten weighed 2 pounds 3 ounces a month later the kitten weighed 56 ounces. How munch weight did the kitten gain in that month. How many ounces did the kitten gain

Answers

Answer: 21 ounces

Step-by-step explanation:

From the question, we are told that Jackson kitten weighed 2 pounds 3 ounces a month. We should note that 16 ounces = 1 pound.

Therefore we'll convert 2 pounds, 3 ounces to ounces. This will be:

= (2 × 16 ounces) + 3 ounces

= 32 ounces + 3 ounces

= 35 ounces

We are further told that later the kitten weighed 56 ounces.

The amount of weight gained by the kitten in that month will be:

= 56 ounces - 35 ounces

= 21 ounces

can someone help meWhat is the missing numerator?

blank over seven plus thirteen over fourteen equals one and three fourteenths (20 points)

a
11

b
8

c
5

d
2

Answers

Answer:

d 2

Step-by-step explanation:

x/7 +13/14 = 17/14

double the first one so all the denominators are the same

2x/14+13/14=17/14

then subtract the second fraction from the thrid

2x/14=4/14

then we can divide by two so we are back to 7 as the demoninator

x/7=2/7

X/7 + 13/14 = 1(3/14)

Convert the mix fraction into improper fraction:
(14 x 1) + 3 = 17 /14

X has to equal the difference between 13 and 17 which is 4

Remember since the lowest common denominator is 14 you would have to multiply x/7 by 2 on top and bottom and make sure that the x value is equal to 4

So ...

(2/7) + (13/14)

(4/14) + (13/14)

Add the number and keep the denominator the same

= 17/14 or 1(3/14)

Therefore the missing number is 2.

I hope this doesn’t sound too confusing :)

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