Ilona is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home. The expression -2t+10 gives the distance in miles that Ilona is from her home after t hours

Answers

Answer 1

Complete question is;

Ilona is at a friends home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home.

The expression -2t + 10 gives the distance, in miles, that Ilona is from her home after t hours. Select True or False for each of the following.

1. The friends home is 10 miles from Ilonas home

2. The distance Ilona has walked away from her friends home after t hours is given by the absolute value of -2t

3.The negative sign in the term indicates that Ilona is walking toward her home

4. Ilona is walking at a rate of 10 miles per hour

Answer:

Statements 1 & 2 are correct.

Step-by-step explanation:

We are told that the expression -2t + 10 gives the distance, in miles, that Ilona is from her home after t hours.

Now, we know that distance = speed x time

Now, from the expression -2t + 10

It's clear that 2t is a distance value.

This means that the speed used in going home is 2 miles/hr

This means that at t hours, she has walked 2t miles from her friends home.

Thus, statement 2 is true because an absolute value of -2t will be 2t.

Since 2t is subtracted from 10 in the expression and 2t is the distance she has walked from her friends house at Time, t. It means that 10 miles is the distance from her friends house to her house.

Thus, statement 1 is also true


Related Questions

Find the value of g when 5g + 6 equals 2g + 15.

Answers

Answer:

g=3

Step-by-step explanation:

5g+6=2g+15

3g=9

g=3

Solve the system using substitution y=2x+10 y=x+8

Answers

Answer:

x = -2

Step-by-step explanation:

x+8 = 2x +10

-2x + x = 10-8

-x = 2

divide both side by -1

answer -- x = -2

Express the inequality using interval notation x ≤ -4 or x ≥ 3

Answers

Your answer would be ( -♾, -4] [3,♾)

i think of a number add 3 to it and multiply the results by 6 ​

Answers

Answer:45

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

25+(3*6)=43

The slope of the line below is 2. Write the point-slope equation for the line
using the coordinates of the labeled point.
pls help

Answers

so the equation for point slope is y-y1=m(x-x1)
so all you need is a slope, a point, and you’re good to start plugging in. so, this equation would be y-9=2(x-1)

-4 |-1 - (1/2) (x-8)| + 9 ≥ 5

Answers

Answer:

20 1/2 + x > 5

Step-by-step explanation:

-4 |-1 - (1/2) (x-8)| + 9 ≥ 5

-4 +1 + 1/2 × x+8 +9 > 5

3 + 1/2 × x+8 +9 > 5

20 1/2 + x > 5

Solve for r using literal equations methods

Answers

Answer:

option 4

Step-by-step explanation:

M<2=4x+12
Someone help

Answers

x=12. So this one says that it has 3 congruent sides so therefore it has to have 3 congruent angles. Here we have angle 2 and we have angle 60. Given the definition of triangle congruence, we can say that 60 is angle 2 and that the third angle is also 60 but it’s not relevant in this problem. So knowing that angle 2 is 4x+12 we solve for x by seeding that equal to 60 and then solving for x we get x=12. Hope this helps!!!!

Answer: m∠2 =60

60=4x+12

subtract 12 from both sides

60-12=4x+12-12

60-12=4x

48=4x

divide both sides by 4

48÷4=4x÷4

48÷4=x

x=12

Plug it into the equation

4(12)+12=

48+12=

m∠2 =60

another proof is that they are congruent

I hope this is good enough:

Sophia earns 40 points every time she shops at a grocery store. She needs a total of 2,680 points to receive a free prize. So far, she has earned 1,280 points. How many more times will Sophia have to shop at the grocery store in order to earn the additional points she needs for a free prize? Let t represent the number of times Sophia visits the store. Which of the following equations best represents the solution to the above question?

Answers

The answer is B 1280+40t = 2680 it's on my test

Y+5= -3/4x Select the slope and y-intercept of the linear equation.

Answers

Answer:

Slope: -3/4

y-intercept: (0,-5)

Step-by-step explanation:

Hope it helps!

Five more than four times a number is greater than seven​

Answers

Answer:

5+ 4x > 7, x > 1/2

Step-by-step explanation:

Mrs. Wally cut a 21 foot long ribbon into four equal lengths. How many feet long was each length of ribbon

Answers

the answer is:

Each equal length of ribbon is 5.25 ft

Step-by-step explanation:

21 divided by 4 is 5.25

To find the number of distributed quantities division operator is used. Each length of ribbon was 5.25 foot long.

What is division ?

Division is a mathematical operation used to divide a number into equal parts. When a number is divided by another number, a quotient and remainder is obtained.

Given length of ribbon = 21 foot

Number of parts it has to be divided = 4.

So, to get the length of each part divide the total length by 4.

Thus, the length of each part is 21/4 = 5.25 foot.

Hence,  the length Mrs. Wally' s each ribbon is 5.25 foot.

To know more about division click on,

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Y=7e^6x -5x^3 + 30 find Y

Answers

Answer:

reorder 7e^6x and -5x^3

y=-5x^3 +7e^6x +3e

Step-by-step explanation:

Now thats if its 7e to the power of 6x

What is the value of the expression

Answers

Answer:1.345299 = -1/3

Step-by-step explanation:

Darnell is underwater 20 feet below sea level. His friend is on a hill 32 feet above sea level. How far apart are the two friends?

Answers

Answer:

52 feet apart

Step-by-step explanation:

20 + 32 = 52

Answer:

52 feet

Step-by-step explanation:

20 + 32 = 52

A rain barrel can hold 72 gallons of water. As it rained last week, water entered the
barrel at a rate of 2 gallons every 6 hours. At this rate, how long will it take the rain
barrel to fill?

(show how you hit the answer if you can)

Answers

Answer: Correct me if I’m wrong but I think it’s 216 hours

Step-by-step explanation: every 24 hour you get 8 gallons so do 24 x 10 you get 240 hours and that gets you 80 gallons so you minus 8 gallons so take off 24 hours and you get your answer

8 (x + 5) + 4 = 60
........

Answers

Answer:

or, 8×x+ 40+4= 60

or,8x+44=60

or,8x= 60- 44

or,8x= 16

or,x= 16/8

or,x= 2

:. x= 2

Step-by-step explanation:

first we have to multiply . if there is plus we have to do minus .then it came answer .then we can divide and we can get the value of x

Answer:
x = 2
General Formulas and Concepts:
Pre-Alg
- Order of Operations: BPEMDAS
Step-by-Step explanation:
Step 1: Define
8(x + 5) + 4 = 60

Step 2: Solve for a
1. Distribute 8: 8x + 40 + 4 = 60
2. Combine like terms: 8x + 44 = 60
3. Isolate x term: 8x = 16
4. Isolate x: x = 2

Step 3: Check
Plug in x to verify it’s a solution.
1. Substitute: 8(2 + 5) + 4 = 60
2. Add: 8(7) + 4 = 60
3. Multiply: 56 + 4 = 60
4. Add: 60 = 60

Find two numbers with a sum of 14 and a difference of 4:

Answers

Answer:

First number --> x

Second number --> y

x + y = 14 --> x = 14 - y

x - y = 4

so

14 - y - y = 4

14 - 2y = 4

2y = 10

y = 5

so

x = 14 -5

x = 9

x=9 and y=5. Solved using substitution.

What’s the area for this shape??????

Answers

Answer:

40cm²

Step-by-step explanation:

The formula of a trapezium is: A=1/2(a+b)h

The values are: a=6, b=10 and h=5

Therefore, to calculate the area: A=1/2(6+10)5

Hence, the area of the trapezium is A=40cm²

Darrell is interested in getting a puppy and goes to the local animal shelter. He finds a puppy that he likes and begins the process of making the purchase. Because they want to neuter the puppy, Darrell has to sign a contract and pay for the puppy and then leave the puppy there until Monday while the puppy is in surgery. When Darrell returns on Monday, he finds out that the puppy did not survive the surgery and died over the weekend. Darrell's heart is broken, but he wants to enforce the contract. Will he win?

Answers

Answer:

The answer is "yes".

Step-by-step explanation:

In this question, the given statement is true because, for the dogs, its standard neutering age is six to nine months, so long as they would be safe puppies as young as eight weeks can be neutered.

The Male dog neutralization avoids disease of the testicles or reduces the risk of other conditions like a prostatic disease.  Its tangled male dog may also have less motivation to go about, which may assist with certain behavioral problems. It can decrease aggressive behavior in many dogs.

Suppose that 2000 is placed in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account. Do not do any rounding.
A:Find the amount in the account at the end of 1 year.
B: Find the amount in the account at the end of 2 years.

Answers

After one year there will be $2260 and after two years there will be $2553.80

The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

As per the question, the given data will be:

p = $2000

r = 13%

t = 1 year

To calculate the amount in the account at the end of 1 year.

A = P(1+r/100)ⁿ

Substitute the values of p,r, and t in the formula,

A = 2000(1 + 13/100)¹

A = 2000(1 + 0.13)¹

A = 2000(1.13)

A = $2260

To calculate the amount in the account at the end of 2 years.

A = 2000(1 + 13/100)²

A = 2000(1 + 0.13)²

A = 2000(1.13)²

A = $2553.8

Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

To learn more about Compound interest click here:

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PLEASE ANSWER
How many terms are in the expression 5 - 3c + 21?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Mary makes 3 1/2 cookies in 1/4 of an hour. How many cookies can she make in 1 hour?

Answers

Answer:

14

Step-by-step explanation:

3.5 × 4 = 14

4 is how many 1/4s there are in 1

Answer:

1/4 of a minute is 15mins

You have to do 3 1/2 × 4

So 7/2 × 4/1 is 28/2 which is 14

So every hour she makes 14 cookies

Task 2.43 - HELP FAST
Show me a simple and easy solutions to these types of tasks (brainliest is achieveable)

Answers

Answer:

I gave explanations on paper the only one that I really didn't know how to do was 2.44 -b

sorry

Based on the graph, which inequality is correct for a number that is to the left of -4?


a
−7 > −4
b
−6 −4
d
−4 < −9

Answers

Answer:

From the graph, it is clear that the left of -4 will always be lesser than the -4.

and -6 is the left of -4. so -6 will be lesser than -4.

so,  [tex]-6 < -4[/tex]  is the correct option.

Therefore, the option 'd' is the correct answer.

Step-by-step explanation:

Let us analyze all the given inequalities

Given the inequality

[tex]-7\:>-4[/tex]

As -7 can not be greater than -4, so [tex]-7\:>-4[/tex] is false.

Given the inequality

[tex]-8>-4[/tex]

As -8 can not be greater than -4, so [tex]-8>-4[/tex] is false.

Given the inequality

[tex]-4 < -9[/tex]

As -4 can not be lesser than -9, so [tex]-4 < -9[/tex] is false.

Given the inequality

[tex]-6 < -4[/tex]

As -4 is always greater than -6, so [tex]-6 < -4[/tex] will be true.

From the graph, it is clear that the left of -4 will always be lesser than the -4.

and -6 is the left of -4. so -6 will be lesser than -4.

so,  [tex]-6 < -4[/tex]  is the correct option.

Therefore, the option 'd' is the correct answer.

Can you please explain how I got it wrong and how to get it right (thx)

Answers

U should have subtract 180 and 131

For the school's sports day, a group of students prepared 12 1/2 litres of lemonade. At the end of the day they had 2 5/8 litres left over. How many litres of lemonade were sold?

Answers

Given :

For the school's sports day, a group of students prepared 12 1/2 litres of lemonade. At the end of the day they had 2 5/8 litres left over.

To Find :

How many litres of lemonade were sold.

Solution :

Initial amount of lemonade, I = 12 1/2 = 25/2 litres.

Final amount of lemonade, F = 2 5/8 = 21/8 litres.

Amount of lemonade sold, A = I - F

A = 25/2 - 21/8 litres

A = 9.875 litres

Therefore, 9.875 litres of lemonade were sold.

Hence, this is the required solution.

Pedro makes a base monthly salary of $1500. As a vendor, he must sell $20000 worth of items per month. He also makes a 4% commission on all sales beyond the monthly quota. If Pedro sold $26000 worth of items this month, what is his total salary for the month including base salary and commission to the nearest dollar?

Answers

Answer:

$2540

Step-by-step explanation:

Given parameters:

  Base salary of Pedro = $1500

 Amount of commission on sales  = 4%

 Sales  = $26000

Unknown:

His total salary including base salary and commission  = ?

Solution:

His total salary;

  Total salary  = Base Salary + (percent on commission x sales)

 Total salary  = $1500 + ([tex]\frac{4}{100}[/tex] x $26000)

 Total salary  = $1500 + $1040

  Total salary  = $2540

37a + 45b +1 3c + 26d + 27

which one is the term?

Answers

This is the answer hopefully this helps

i literally have no idea but hope you don't mind if i get your points!?

What is the value of x? Round to the nearest tenth(1 decimal place)​

Answers

Answer:jkkjjkj098765

Step-by-step explanation:

iuytrfdghyui8

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