Penelope leaves her house. For eight minutes, she drives to the store at a rate of one block per minute. Then, she stops for five minutes to shop in the store. Finally, she drives back to her house at a rate of four blocks every three minutes. Write the equation to model Penelope's trip to the store.

Answers

Answer 1

Answer:

T = 8 + 5 + 6

Step-by-step explanation:

Since it took Penelope 8 minutes to drive to the store at a rate of 1 block per minute then that means the store was 8 blocks away. That being the case if she drives back home from the store at 4 blocks every 3 minutes that would mean that she took 6 minutes (4+4 = 8) to get back home. Using this data we can create the following equation model to calculate the total time of the trip.

T = 8 + 5 + 6


Related Questions

1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money the man collected at the end of the 5-year period. 2.) Mr. Ford invested $12 450 in a bank at 7.25% per annum simple interest for 6 years. Calculate: a.) The interest he was paid b.) The total of amount of money he would have received at the end of the period of investment. 3.) The simple on $15 000 for 9 years is interest is paid when $800 is invested for 5 years.

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Using formula:

[tex]\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+ \text{Simple Interest}[/tex]

In question (1):

[tex]Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5[/tex]

In point a:

[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times 8 \times 5)}{100}\\\\ \to 240[/tex]

In point b:

[tex]\to amount = principle \ +\ simple \ interest[/tex]

                 [tex]= 600 + 240 \\\\= 840[/tex]

In question (2):

[tex]Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6[/tex]

In point a:

[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times 7.25 \times 6)}{100}\\\\ \to 5,415.75[/tex]

In point b:

[tex]\to amount = principle \ +\ simple \ interest[/tex]

                 [tex]= 12,450 + 5,415.75 \\\\= 17,865.75[/tex]

The 3 question is incomplete, that's why it can't be solved.

The slope of a vertical line is:

Answers

Answer:

The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

the slope of a virtual lin.e is change in Y / change in X

what is 1+1, please answer

Answers

Answer:

Your answer is 2.

Step-by-step explanation:

You use the normal way of adition.

 1

+1

___

 2.

Hope this helps!

PLEASE ANSWER THIS ASAP !!!!!!

Answers

Answer:

y = - x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus

y = - x ← equation of line

Dawn made a $10,000 down payment on a home financed at 8%. What is the cost of the home?
A. $85,000
B. $125,000
C. $80,000
D. 8,000
I don't understand how you would be able to determine the cost of the house with a down payment and finance rate.

Answers

Answer:

$125,000

Step-by-step explanation:

the cost of the home = (10,000/8)*100 = $125,000

Answer:

125,000

Step-by-step explanation:

According to the Fundamental Theorem of Algebra a 5th degree function has how many zeros?

Answers

Answer:

i need more info

Step-by-step explanation:

Find the slope between the points (3, 0) and (5, 4).
A. 2
B. 12
C. 4

Answers

Answer: I would say A tbh thank you

Step-by-step explanation:

The coordinates of two points on the line, use the slope formula to determine the slope of the line.

The slope between the points (3, 0) and (5, 4) exists 2.

What is meant by slope of the equation?

Given the coordinates of two points on the line, use the slope formula to determine the slope of the line.

The slope formula, or the ratio of the change in the y values to the change in the x values, is

[tex]$m=\frac{y_ 2-y _1}{x _2-x _1}$$[/tex]

where [tex]$(x _1, y_ 1)$[/tex]and [tex]$(x_ 2, y _2)$[/tex] are two points that lie on the line.

Let the points be [tex]&(x _1, y _1)[/tex] = (3, 0) and [tex]$&(x _2, y _2)[/tex] = (5, 4)

The equation be [tex]$m=\frac{y_ 2-y _1}{x _2-x _1}$$[/tex]

substitute the values in the above equation, we get

[tex]$m=\frac{4-0}{5-3}=\frac{4}{2} \\[/tex]

The slope between the points (3, 0) and (5, 4) exists 2.

Therefore, the correct answer is option A. 2.

To learn more about slope refer to:

https://brainly.com/question/3493733

#SPJ2

4.06 = 0.19 = 0.29 = 0.86 = 19% 29% 38% 332% 247% 293% 2.98 = 406% 0.81 = 353% 2.93 = 22% 4.61 = 86% 6% 81% 483% 41% 422% 461% 3.35 = 298% 0.68 = 68% FINISH 55% 0.38 = 424% 71% 413% 315% 26% 88% 92% 2.4 = 335% 0.74 = 74% 3.32 = 3.53 = 172% 248% 240% 125% 28%

Answers

Answer:

what are you asking though

the one of the following is NOT a measure of central tendency?____
a) mean. B) median. c) range. d) mode ​

Answers

Answer:

D). Mode

Step-by-step explanation:

I hope this helps!! Have a good day!

Answer:

they all are.

Step-by-step explanation:

They all are a measure of central tendency Standard deviation is not. Hope this helps :D

What is an
equation of the line that passes through the points (6,8) and (-3, 2)?

Answers

Find slope
(2-8)/(-3-6) = -6/-9 = 2/3
Y = 2/3x + b
8 = 2/3(6) + b, b = 4
Solution: y = 2/3x + 4

help plz ............... ​

Answers

Answer:

1.869 more miles

Step-by-step explanation:

the formula is

[tex]distance\:of\:jake-distance\:of\:tom\\\\=4.89-3.021\\\\=1.869miles[/tex]

Answer:

1. 869 miles farther

Step-by-step explanation:

4.89-3.021= 1.869miles

Therefore, Jake went 1.869 miles farther than Tom did.

Eric bought a ruler for $1.29 and an eraser for $0.39. He paid with $2.00. What is the correct amount of change he should get back?

Answers

Answer:

$0.32, so a quarter a nickel and 2 pennies

Step-by-step explanation:

Answer:

$0.32

Step-by-step explanation:

First, add $1.29+$0.39 to get the total amount of the transaction.

$1.29+$0.39 = 1.68

Then, subtract that from the amount paid.

$2.00-$1.68

= $0.32

Write the following in standard form:
2x*3x^2

Answers

Answer

1296

Step-by-step explanation:

The explanation is 2x is written as 2*2 = 4

then 3x is written as 3*3 = 9  so

so you do 4*9 = 36 * 2 = 1296

Answer:

The answer to your problem is: 6x³

what is 7w when w means 2?​

Answers

Answer:

14

Step-by-step explanation:

we know that w and 2 are the same here, so substitute w with 2: 7(2)

this means 7 times 2, and that is 14

Answer:

14

Step-by-step explanation:

If w=2

Plug in 7(2)... Multiply then you would have 14.

alice has 5 quarters and 2 nickels. how many cents does alice have?

Answers

Answer: $1.35 is the answer

Answer:

5 quarters is equal it 1$ and 25¢, 2 nickles is equal to 10¢, put these together and you get 1$ and 35¢ or 1.35$

The volume of an Amazon package is given by the function below.

8x^3+30x^2+13x−15


A. What is the area of the bottom of the box if the width is (4x+5) and the length is (x+3)?

B. Using the volume formula, find the height of the package. (V=lwh)

Please show work

Answers

Answer:

Step-by-Step Explanation:

Area of the base = length × breadth

= (4x + 5) (x + 3)

= 4x(x + 3) + 5(x + 3)

= 4x² + 12x + 5x + 15

= 4x² + 17x + 15

_____________________________________

Volume = length × breadth × height

8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h

[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]

Can someone help me with this please

Answers

Answer:

The 3rd one

Step-by-step explanation:

The rest have dilations, which change the size of the shape. The rest are literally just moving the shape around.

I need help with my math homework. It would mean a lot to me if someone coupd explain it. Ill type the directions. It says: Using the graphs below, write the linear equation of the line in slope intercept form (use format: no spaces, y=mx+b) ansaers and earn pixels for correct answers. Answer all 18 problems correctly to reveal the pixel art image. Here are the graphs I need to do. Please help me out if you can. I will make another question on my account so I can add more pictures of the graphs because I can only do five on here.

Answers

Ok I will definitely help you.

Write an equation of the direct variation (the line has a y-intercept of (0,0)) that includes the point (3,18).
Desmos Graphing Calculator
Algebra I STAAR Formula Chart
Calculator
Y=12
y = -6x
y 63

Answers

Answer:

b

Step-by-step explanation:

how to find the value of a+b+c given that a=4,b=3 and c= -2

Answers

Answer: 5

Step-by-step explanation: 4 + 3 + -2 = 5

Write an equation in slope-intercept form for the line with slope −3 and y-intercept 2.

Answers

Answer: Y= -3x+2 is how you would write it according to the slope-intercept formula Y=MX+B

Step-by-step explanation: M being your slope

And B being your Y-Intercept

Y=-3x+2..............

URGENT PLEASE!! I’ll give you brainliest! You just have to find x

Answers

Step-by-step explanation:

3(x+2)-(2x-1)=4(3-x)

3x+6-2x+1=12-4x

3x-2x+4x=12-6-1

5x=5

x=1

Answer:

x=1 2/5

Step-by-step explanation:

3x+6-2x-1=12-4x

x+5=12-4x

  -5   -5

x=7-4x

+4x  +4x

5x=7

/5   /5

x=7/5

x=1 2/5

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points. What is the minimum number of points that Madeline needs to earn?

F. x ≥ 96
G. 96 ≥ x
H. x ≤ 16
J. 16 ≤ x

Answers

I think the answer would be letter H

The solution is : she needs at least 16 points.

x + 64 ≥ 80

x ≥ 16

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Given

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.

so,

Total = 80 (at least)

accumulated = 64

Required

Express as an inequality

In inequalities, at least means ≥

So, the expression is:

Where x represents the additional points

x + 64 ≥ 80

Solve for x

x ≥ 16

Hence, she needs at least 16 points.

To learn more on inequality click:

brainly.com/question/24853349

#SPJ3

-6m - 1 = -31

m = ___

please show work

Answers

ANSWER:

M = 5

Step 1: Add 1 to both sides of the equal sign

-6m-1+1=31+1

-6m=-30

Step 2: Divide both sides by -6

-6m/6 = -30/-6

(Note: Both -6 values (The denominators) will cancel each other out, which is why the end result is 5 so, again, M=5)


A school wants to buy some new desks and chairs. If it buys 40 desks and 100 chairs, the
total cost is $1100; if it buys 50 desks and 80 chairs, the total cost is $1150. What is the
price of a desk and a chair

Answers

Answer: The price of desk is 15 and the price of the chairs 5

Step-by-step explanation:

pls :,) i suck at math

Answers

Answer:

60%

Step-by-step explanation:

The original was $20 to $12, so if you divide both prices by 2 (to make one side 10 and the other the simplified percentage) you get:

10 to 6.

Percentages are typically x% out of 100, so if you multiply both by 10 you get:

100 to 60. All you have to do now is change the format to percentage instead of a fraction (60/100) and the answer is 60%.

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

Answer:

a i think

Step-by-step explanation:

It takes five people four hours to paint a fence.

How long would it take ten people to paint the same fence at the same rate?

Remember to include units in your answer.

Answers

Answer:

2 hours

Step-by-step explanation:

First, we notice that the time taken to paint a fence is inversely proportional to the number people used because as the number of people increase, the time taken to paint the fence decreases.

5 people can paint a fence in 4 hours.

1 person can paint a fence in = 5 x 4

                                                = 20 hours

10 people can paint the fence in = 20/10

                                                      = 2 hours

plz mark as brainliest

what is the equation of a line parallel to y=4/5x+2 that passes through 1,2

Answers

Answer:

4/5x+6/5

Step-by-step explanation:

not sure but i have my ways with equations lol

pls pls someone answer thissss asap...also I’d like the steps on how to do it as well pls and ty!!!

Answers

Answer:

v>19/6

Step-by-step explanation:

What is the value of the 100th term in this arithmetic sequence?

5, 7, 9, 11, ...

Answers

Answer:

the 100th term would be 193

Step-by-step explanation:

5-(n-1) times 2

5-99 times 2

5-198

193

I hope this helps

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