Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left.

a) Write the equation to model this situation, where x is the number of days.

b) Use the equation to determine how much money Marty had two weeks ago.

c) Use the equation to determine when Marty will run out of money if he continues to spend at this rate.

Answers

Answer 1
Spent a day = $3
After 14 days = $68 left

a) x = 3
14x = - 68
14x + 68 = 0

b) 14(3) + 68 = $120

c) total money = y
y - 14x = 120
y = 14(3) + 120
y = 172

172 - 3n = 0
3n = 172
n = 57 days and 8 hours

Sorry If I am wrong,but I've tried my best to give you the solution..
Answer 2

a)  equation to model this situation can be

14x + 68 = 0

b) so, the money he had before two weeks are

14(3) + 68 = $120

c) equation to determine when Marty will run out of money if he continues to spend at this rate is 57 days and 8 hours.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

Spent per day = $3

After 14 days = $68 left

a)  equation to model this situation can be

14x + 68 = 0

b) so, the money he had before two weeks are

14(3) + 68 = $120

c) equation to determine when Marty will run out of money if he continues to spend at this rate.

let the total money be a

a - 14x = 120

a = 14(3) + 120

a = 172

So, if m is the number of days

172 - 3m = 0

3m= 172

m = 57 days and 8 hours

Learn more about equation here:

https://brainly.com/question/10413253

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Related Questions

A photo of a painting measures
13 inches by 17 inches. The scale factor
is 1
3 . What size is the painting?

Answers

The size of the painting is [tex]\( \frac{13}{3} \) inches by \( \frac{17}{3} \)[/tex] inches.

If the photo of the painting has dimensions of 13 inches by 17 inches and the scale factor is 1/3 it means that the dimensions of the painting itself are 1/3 times the dimensions of the photo.

To find the size of the painting, we need to multiply the dimensions of the photo by the scale factor.

For the length:

[tex]\[ \text{Length of painting} = 13 \times \frac{1}{3} = \frac{13}{3} \][/tex]

For the width:

[tex]\[ \text{Width of painting} = 17 \times \frac{1}{3} = \frac{17}{3} \][/tex]

a pillow is in the shape of a regular pentagon. The front of the pillow is made form 5 pieces of fabric that are congruent triangles. Each triangle has an area of 22in squared. What is the area of the front of the pillow?

PLEEAASSEEEEE HHHHHEEEEELLLLLLLPPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!

Answers

fifty-five hope it's right
1 triangle = 22 in²
5 triangles = 22 x 5 = 110 in²

Answer: Area of the pillow = 110 in²

which three dimensional figure is modeled by the net below?

Answers

This figure, I believe, is a triangular prism.
The answer is g I’ think

If the area of a square is 64 square centimeters, whats the length of one side?

A. 8cm
B. 32cm
C. 16cm
D. 4cm

Answers

It's A. 8x8 is 64. Therefore, 8cm is correct.
It would be A because a square has four equal sides. To determine if this is right, you would find the square root of 64 which is 8. To check, find the answer to 8 to the power of two or 8 times 8 which is 64.

What is the correct meaning of the word particular?
Millie looked through all of the markers until she found the particular shade to color the flowers
A) extremely rare
B) separate and distinct
C) easily seen or noticed
D) commonly occurring

Answers

Your answer is B - Seperate and Distinct

Answer:

Step-by-step explanation:

The answer is B

Georgie's toy car collection consists of modern and classic cars. He has four times as many classic cars as he cars. If he has 320 total cars in his collection, how many modern cars does he have?

Answers

Use a system of equations to solve this problem. Let "x" represent the number of classic cars, and "c" represent the number of cars.

320 = x + c
x = 4c

In this case, it'll be easiest to use the substitution method to solve the system of equations.

320 = (4c) + c
320 = 5c

Now solve for "c":

320/5 = c
c = 64

Since you now know there are 64 regular cars, you can subtract that from the total amount for the number of classic cars.

320 - 64 = 256

There are 256 classic cars.

To check the answer, multiply 64 by 4 and make sure it equals 256.

64 x 4 = 256

what is the difference between the greatest green bean weight and the least green bean weight

Answers

what are the weights? 

what is a rational number?

Answers

A rational number is: A number that can be written as a quotient of 2 integers, where the divisor is not 0.

Example: 2/5 , -6, 

Because you can write any integer as a quotient with a denominator of 1, all integers are rational numbers, 

Example: 5 = 5/1

~Aamira~

Hope this helped☺☺
Any real #’s, like 5, 2/7, 1.4

A cable is 50 meters long. How long is the cable in decimeters?

Answers

500 because when you have dm multply it 
1 meter equals 10 decimeters.

Knowing that, 50*10=500

So, 50meters=500decimeters.

I hoped this helped!

Does 21.6,28.8,36 equal a right triangle

Answers

yes it does hope this helped

Select from the drop-down menu to correctly compare the numbers.
50−−√ 6.237...

A ≤

B =

C ≥

Answers

Answer:the answer is c

Step-by-step explanation:

I just did the test I got at 100

Please do not answer unless you are correct..I will award double points

Answers

The dot product of two orthogonal vectors is always zero. 

Vector u can be expressed (-5,-3) as its ends on this points and starts from origin. The dot product of vector u with vector given in option A results in zero.

(-5, -3) · (1/5, -1/3)

= -5(1/5) + (-3)(-1/3)

= - 1 + 1

= 0 

Hence first option is the correct answer

What decimal part of 440 is 220? Please, show work!

Answers

you will have to multiply 440x220 then you divide and your answer will be 0.24
440/220=2 so 220 is .5 of 440

Find the circumference of the circle. Round to the nearest tenth.

A.) 148.4 m

B.) 84.8 m

C.) 196.6 m

D.) 54.0 m

Answers

Ans is B
HOPE I CAN HELP U
circumference = 2πr = 2 * (27/2) * π = 27π ≈ 84.8

Which of the following equations represents a line that is parallel to y=5x-4 and passes through the point, (3,4)?

Answers

Slope of given line = 5

Slope of parallel lines is the same, so slope of the line parallel to the given line will be m = 5

We have the slope and a point, using the point-slope form we can write the equation of the line:

y - 4 =5 (x - 3)

y = 5x - 15 + 4

y = 5x - 11

So, the above equation is the desired answer.
The given equation is of the form y=mx+c where m is the slope of line.
Comparing given equation with y=mx+c we get m=5

Parallel lines have equal slopes.
Therefore, slope of required line = m = 5

This required line passes through points (3,4)(x₁,y₁)
Therefore, by slope-point form,

y-y₁=m(x-x₁) 
y-4=5(x-3)
y-4=5x-15
y=5x-11

This the equation of required line

Please solve both, graph and show work. answer also has to be in y=mx+b format.

2x-y=1 and x+y=2

Answers

2x-y=1                        
-2x       -2x
-----------------
-y=-2x+1
Multiply by -1
y=2x-1

 x+y=2
-x        -x
------------
y= -x+2

Jackson flipped a coin ten times. He flipped heads 4 times and tails 6 times. What is the experimental probability that Jackson will flip heads on his next flip?

Answers

Answer:

1.5 i think

Step-by-step explanation:

6/4=1.5

Write an equation in slope-intercept form of the line that passes through (-1,-3) and is parallel to the graph of y=4.

Answers

Use the point slope equation: y - y1 = m(x - x1)

(-1, -3); m = 4
Plug these numbers in.

y - (-3) = 4(x - -1)
y + 3 = 4x + 4
y = 4x + 1

Answer:

The line parallel to this one and through the given point would be y = -3.

Step-by-step explanation:

In order to find a parallel line, we first have to accept that this is a horizontal line. This is because there is no x value in the equation. That means in order to make it horizontal as well, we need it to have no x value again.

Given the ordered pair, this means our new equation is y = -3

Martha's mom is making party bags for all of her party guests. She has 24 green gumballs, and 33 blue gumballs. If she wants to split them evenly between all the bags, without any leftovers, how many bags can she make??

Answers

The most bags she can make are eight

How do you find the missing length and area of a pyramid only having the volume and height? For example my volume is 225 and my height is 3. What is my area and length? Please explain :)

Answers

The volume of a pyramid is given by:
V=1/3×(base area)×height
suppose the base of the pyramid is square:
volume=225 cubic units'
height=3 units
thus plugging in our values in the formula
225=1/3×(base area)×3
thus
base area=225
hence we conclude that if the base is square then the dimensions will be:
L=√225=15 units
thus the answer is 15 units by 15 units base

HELP ME PLEASE 20 POINTS TO WHOEVER ANSWERS!

Answers

Bigger Triangle:
Perimeter = (4x + 2) + (5x - 4) + (7x + 7) 
Perimeter = 4x + 2 + 5x - 4 + 7x + 7
Perimeter = 16x + 5

Smaller Triangle:
Perimeter = (x + 3) + (2x - 5) + (x + 7)
Perimeter = x + 3 + 2x - 5 + x + 7
Perimeter = 4x + 5

Diffference = 16x + 5 - (4x + 5)
Difference = 16x + 5 - 4x - 5
Difference = 12x

Answer:
(a) Bigger Triangle =  16x + 5 ; Smaller Triangle =  4x + 5
(b) Difference = 12 x
Blue triangle- 

a. 16x + 5.   To do this problem you combine all of the like terms, and that is your equation.


Pink triangle-

a. 4x + 5 You do the same steps you did before, combine like terms.

b.  12x   "The difference" means subtraction.  So you subtract the like terme
s of both the problems and get 12x.

Hope this helps!!

PLEASE HELP!!!!!!!!!!!
The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you are able to make with the ten letters you are given. The game leader currently has 17,950 points. Sal wants to break the record and needs 18,000 points or more to do so.

Write an inequality to determine how many seven-letter words, w, Sal will need to make to break the record.

Identify which graph represents the solution set to this inequality.

Answers

Let the number of 7-letters words made be x.

Points Sal needs to make : at least 18000 or more.

Construct Equation:
100 + 50x ≥ 18000

Take away 100 from both sides:
50 x≥ 17900

Divide both sides by 50:
 x ≥ 17900 ÷ 50 

Answer:
x ≥ 358

Answer : C x ≥ 358
>358 would be the correct answer hope did helps :)

8. Find the measure of the third angle of a triangle given that the first two angles are 44o and 72 o. Show your work.

Answers

44+72=116

180-116=64

3rd angle=64

64+44+72=180

44+72=116

180-116=64

3rd angle=64

64+44+72=180

Use absolute value to express the distance between −13 and 17 on the number line

Answers

Answer:

Step-by-step explanation:

Distance between two points a and b  using the absolute value is given by

|b-a|.

Here we have a=-13

and b =17

so

Distance = | 17- (-13) |

Distance = |17 +13 |

Distance = | 30 |

Distance = 30 units

In absolute value, the distance is written as |30|

The given points:

[tex](x_1, x_2) = (-13, 17)[/tex]

To find:

the distance between -13 and 17

The distance between the two points on a number line is calculated as;

[tex]Distance = \sqrt{(x_2-x_1)^2} \\\\Distance = \sqrt{(17--13)^2}\\\\Distance = \sqrt{(30)^2} \\\\Distance = + /- \ \ 30[/tex]

In absolute value, the distance is written as;

Distance = |30|

Learn more here: https://brainly.com/question/23224485

What is the domain of this function

Answers

Hello!

The domain is the numbers that makes the function real

If we put x as 4 we get an undefined answer since you can't divide by 0

From this the domain is 4 > x < 4

Hope this helps!

Answer:

Domain (-∞,4)U(4,∞)

Step-by-step explanation:

Inmagine functions as little machines that turn one number into another, the domain would the numbers that we can enter to the machine so we would have a real number on the output of it.

In this specific case we can use all the numbers but 4 because if we make [tex]x=4[/tex]  we would have [tex]\frac{12}{4-4}=\frac{12}{0}[/tex] and this is an indeterminate form which won't be solution to the problem.

According to the explanation our domain would be all the numbers but 4 like this:

Domain (-∞,4)U(4,∞)

A farmer applied different types of fertilizer to two different sections of his watermelon field. At the end of the growing season, the farmer randomly weighed 20 watermelons from each section. The table shows the mean and the mean absolute deviation (MAD) of the weights for each fertilizer.

Fertilizer Mean (lb) MAD
1 24 3
2 22 2
Calculate the means-to-MAD ratio. Can the farmer conclude that Fertilizer 1 generally produces heavier watermelons?

Select from the drop-down menus to correctly answer the question.

The farmer (can, cannot) conclude that Fertilizer 1 generally produces heavier watermelons because the distributions of weights for the two fertilizers are (identical, somewhat similar, similar, different).


Answers

the mean is the average weight.
 the MAD is how spread out the weights are from the mean, the higher the number the more spread out, which means you could have more lower weights than higher weights, of more heavy than light

 so fertilizer 1 had a higher average weight ( 24 is greater than 22)
 and the difference in MAD is only 1 ( 3-2)

so the farmer CAN conclude , because the distribution is SOMEWHAT SIMILAR


Tabitha and her parents drive to Dallas for a wedding after 90 minutes Tabatha's father tells her that they have travel 105 miles what is the average rate of speed the car travel in 90 minutes

Answers

tabitha and her parents drives 1.16 mph. hopes this helps u.
1.16 minutes per mile or.085 miles per minute

CAN SOMEONE HELP! please - Give brainliest to best
PLEASEEEEE

Answers

Part A

Answer: 7/36
This is in fraction form
The decimal version of this number is roughly 0.1944

-----------------------------------

To get this answer, we multiply the fractions 7/9 and 2/8

The fraction 7/9 is the probability of selecting purple on the first draw. There are 7 purple out of 9 total (2+7 = 9)

The fraction 2/8 is the probability of selecting white on the second draw. This is assuming we don't put the first selection back in the bag. There are 2 white out of 8 marbles over

Multiply the fractions to get:
(7/9)*(2/8) = (7/9)*(1/4) = (7*1)/(9*4) = 7/36

============================================================
Part B

Answer in fraction form: 1/36
Answer in decimal form: 0.0278 (which is approximate)

------------------

We have 2 white out of 9 total. So the probability of getting white the first time is 2/9

After we select and don't put that first selection back, we have 1 white out of 8 left over. The probability of getting white a second time is 1/8

Multiply the fractions:
(2/9)*(1/8) = (2*1)/(9*8) = 2/72 = 1/36

============================================================
Part C

Answer: There is a greater chance to get two purple in a row

------------------

Without doing any math, you can tell that purple is more likely simply because there are more purple than white. We have 7 purple and 2 white. For any given single selection, we have a greater chance of picking purple over white.

If you want do to the math, then the probability of selecting two white marbles in a row is 1/36 = 0.0278 which was found in part B above. 

The probability of selecting two purple is (7/9)*(6/8) = (7/9)*(3/4) = (7*3)/(9*4) = 21/36 = 7/12 = 0.5833

In summary, 
the probability of selecting two white marbles in a row is 0.0278
the probability of selecting two purple marbles in a row is  0.5833
we see that the probability for the two purple marbles is much greater

Answer:

Step-by-stPart A

Answer: 7/36

This is in fraction form

The decimal version of this number is roughly 0.1944

-----------------------------------

To get this answer, we multiply the fractions 7/9 and 2/8

The fraction 7/9 is the probability of selecting purple on the first draw. There are 7 purple out of 9 total (2+7 = 9)

The fraction 2/8 is the probability of selecting white on the second draw. This is assuming we don't put the first selection back in the bag. There are 2 white out of 8 marbles over

Multiply the fractions to get:

(7/9)*(2/8) = (7/9)*(1/4) = (7*1)/(9*4) = 7/36

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

Part B

Answer in fraction form: 1/36

Answer in decimal form: 0.0278 (which is approximate)

------------------

We have 2 white out of 9 total. So the probability of getting white the first time is 2/9

After we select and don't put that first selection back, we have 1 white out of 8 left over. The probability of getting white a second time is 1/8

Multiply the fractions:

(2/9)*(1/8) = (2*1)/(9*8) = 2/72 = 1/36

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

Part C

Answer: There is a greater chance to get two purple in a row

Without doing any math, you can tell that purple is more likely simply because there are more purple than white. We have 7 purple and 2 white. For any given single selection, we have a greater chance of picking purple over white.

If you want do to the math, then the probability of selecting two white marbles in a row is 1/36 = 0.0278 which was found in part B above. 

The probability of selecting two purple is (7/9)*(6/8) = (7/9)*(3/4) = (7*3)/(9*4) = 21/36 = 7/12 = 0.5833

In summary, 

the probability of selecting two white marbles in a row is 0.0278

the probability of selecting two purple marbles in a row is  0.5833

we see that the probability for the two purple marbles is much greater

5 − (x + 5) > −2(x + 4)

Answers

x>−8 answer  <<

step by step work

Let's solve your inequality step-by-step.5−(x+5)>−2(x+4)
Step 1: Simplify both sides of the inequality.−x>−2x−8
Step 2: Add 2x to both sides.−x+2x>−2x−8+2x
[tex]5-(x+5) > -2(x+4)\\\\5-x-5 > -2\cdot x-2\cdot4\\\\5-5-x > -2x-8\\\\-x > -2x-8\ \ \ |add\ 2x\ to\ both\ sides\\\\x > -8\to x\in(-8;\ \infty)[/tex]

The equation of a circle is ​ (x+7)to the second power+(y−13)to the second power=196 ​ .



What is the center of the circle?



Enter your answer in the boxes.

Answers

Instead of writing "(x+7) to the second power", you can write "(x+7)^2" which is more efficient. 

The equation given to us is
(x+7)^2 + (y-13)^2 = 196
which is the same as 
(x-(-7))^2 + (y-13)^2 = 14^2
and that equation is in the form
(x-h)^2 + (y-k)^2 = r^2

We can see that
h = -7
k = 13
r = 14

This means (h,k) = (-7,13)

The center is (-7,13)

Answer:

(-7,13)

Step-by-step explanation:

The equation of a circle is ​ (x+7)to the second power+(y−13)to the second power=196 ​

(x+7)^2 +(y-13)^2 = 196

To find the center of the circle we use the center radius form of the circle

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

where (h,k) is the verted and r is the radius of the circle

now we compare with the given equation

h= -7  and k =13

So center of the circle is (-7,13)

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