Maria is in the state park riding her bike on the new bike trail. She starts at the beginning of the trail and rides for 4 miles. After the first 4 miles, her friend Aiden joins her and they ride the rest of the trail. By the end of the trail, Maria has been riding for two and half hours, while Aiden has been riding for two hours. Assuming they are both riding their bikes at a constant speed the entire time, how long is the bike trail?

Answers

Answer 1
the bike trail is 20 miles total
Answer 2

Answer:

10 miles

Step-by-step explanation:

Thinking process:

The distance that Maria rides: 4 miles

Total time by Maria = 2.5 hrs

The friend   = 2hrs


Related Questions

Which equation represents a non-proportional situation? y = 6x y = –2x + 14 y = –3x y = 14x

Answers

The equation of proportional situation is y = ax.

Therefore your answer is y = -2x + 14

6.099 round each number to the place of the underlined digit. The underline number is 0

Answers

Answer:

6.1

Step-by-step explanation:

If we are rounding at the 0 digit, we look at the next digit, which is 9

9 >= 5 so we need to round  the 0 up to 1

6.099 rounds to 6.1

Answer:

6.1 is your answer

Step-by-step explanation:

The underlined digit (the tenth place) is 0. Look at the number in the place value directly right to it (hundredth place). It is a 9. Because 9 is greater than 5, round up.

6.099 rounded to the nearest tenth place is 6.1

~

Solve x2 − 7x = −13.

A) x equals quantity of negative 7 plus or minus I square root of 6 all over 2
B) x equals quantity of negative 7 plus or minus I square root of 3 all over 2
C) x equals quantity of 7 plus or minus I square root of 6 all over 2
D) x equals quantity of 7 plus or minus I square root of 3 all over 2

Answers

Answer: the actual correct answer is D

Step-by-step explanation: i know the test answers because i am in flvs too

Even would be helpful if you just gave me the equation to solve it and I can do the rest. mart had a sale for labor day on DVD's and video tapes. Katie bought 2 tapes and 3 DVD's and spent 134$. Emily bought 1 tape and 5 DVD's and spent 179$. How much does a tape and DVD cost .

Answers

x - price of a video tape

y - price of a DVD

[tex]\left\{\begin{array}{ccc}2x+3y=134\\x+5y=179&|\text{subtract 5y from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}2x+3y=134\\x=179-5y&|\text{substitute to the first equation}\end{array}\right\\\\2(179-5y)+3y=134\qquad\text{use distributive property}\\\\(2)(179)+(2)(-5y)+3y=134\\\\358-10y+3y=134\qquad\text{subtract 358 from both sides}\\\\-7y=-224\qquad\text{divide both sides by (-7)}\\\\\boxed{y=32}\\\\\text{Put the value of y to the second equation}\\\\x=179-5(32)\\\\x=179-160\\\\\boxed{x=19}[/tex]

Answer: video tape cost $19 and DVD cost $32.

Evaluate the expression when n=-3.

Answers

Answer:

[tex]-10[/tex]


Step-by-step explanation:

The given expression is

[tex]n^2+5n-4[/tex]


We want to find the value of this expression when [tex]n=-3[/tex].


We just have to put [tex]-3[/tex] wherever we see [tex]n[/tex] in [tex]n^2+5n-4[/tex].


When [tex]n=-3[/tex] is substituted, we get,


[tex]=(-3)^2+5(-3)-4[/tex]


This will give us,


[tex]=9-15-4[/tex]

We simplify to get,

[tex]=-10[/tex]




3.3 divide (0.8 - 3) - 0.5

Answers

Answer:

-2

Step-by-step explanation:

Hope this helps!

How many real solutions does this equation have? h² = 37
A) 1 real solution
B) No real solution
C) Infinite number of real solutions
D) 2 real solutions

Answers

Answer:

The correct answer is D.

A third-grade gym class has 54 students. The gym teacher divides them into 9 groups. She then divides each group into 2 teams. How many students are on each team?

Answers

Answer:


Step-by-step explanation: I would say 3 because when you divide 54 by 9 you get 6. Then when you divide 6 by 2, you get 3. Hope this helps‼ ☺


The number of students gym teacher has putted in each team is, 3

What is the ratio?

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

A third-grade gym class has 54 students

The gym teacher divides them into 9 groups

Then divides each group into 2 teams

The number of students in each team = ?

Number of students in a group =   54/9

                                                    =    6 students

Then each group divided into two teams,

Number of students in each team = 6/2

                                                         = 3

Hence, the number of students is 3

To know more about Ratio check:

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1/2 + 1 1/4 less than 2

Answers

Answer:

No, it only equals 1 3/4.

Step-by-step explanation:

You first need to break up 1/2. You should know it equals 2/4, so adding 1 1/4 and 2/4, it will equal 1 3/4

The answer is 2-13/4.

I need help with this question please help

Answers

Top left : 1/10
Middle right : 1/20
Bottom middle : 1/5

You can check by multiplying those rows, columns and diagonals if you're still not sure about the answer

If 2/3 of the 600 seeds sprouted, how many seeds did not sprout?

Answers

Final answer:

By calculating 2/3 of 600, we find that 400 seeds sprouted, which means 200 seeds did not sprout.

Explanation:

To determine how many seeds did not sprout, we start by calculating the number of seeds that did sprout. Given that 2/3 of the 600 seeds sprouted, we multiply 600 by 2/3:

600 × (2/3) = 400

So, 400 seeds sprouted. Next, we subtract this number from the total number of seeds to find out how many did not sprout:

600 - 400 = 200 seeds

Therefore, 200 seeds did not sprout.

Each time a solid bicycle wheel turns, the bicycle travels 197cm. What is the area of the wheel?

Answers

Answer:

38809/(4pi) cm^2

Step-by-step explanation:

So the circumference of the wheel is 197. So to find the radius, we divide by 2 pi. So now we have 197/(2pi) as the radius. Now we have to find the area, so it is 38809/(4pi)

The area of the solid wheel is  3090 cm².

What are the circumference and diameter of a circle?

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know circumference is the distance around the circle which is 2πr.

Given, Each time a solid bicycle wheel turns, the bicycle travels 197cm.

Therefore,

2πr = 197.

r = 197/π×2.

r = 31.37 cm.

Therefore, The area of the solid wheel is,

πr².

= 3.14×(31.37)² cm².

= 3090 cm².

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jacie can swim 3/4 of a mile in 3/8 of an hour.how far can she swim in one hour?

Answers

Answer:

2 miles

Step-by-step explanation:

We can use ratios to solve this problem


3/4 miles         x miles

--------------- = ---------------

3/8 hours          1 hours

Using cross products

3/4 * 1 = 3/8 * x

Multiply by 8/3 to isolate x

3/4 * 8/3 = 3/8*8/3 *x

8/4 = x

2 =x

HELP!!!!!!!!!!!!!!!!!!!!!!! CAN SOMEONE ANSWER ALL OF THESE.

Answers

1. -4 and 3/10 and 4.51010910921... are all rational numbers.

2. Yes 81 is a perfect square because its square root is 9 which is a real number.

3. 5

4. Well the closest perfect square to 52 is 49 and 64. 52 is closer to 49 and the square root of 49 is 7 so the estimated value of the square root of 52 is about 7.

False- every square root is not rational because some aren't perfect squares, meaning the result is a decimal that keeps going forever.

5. (x+6, y-5)


































































Find the solutions of the form x=a,y=0and x=0 ,y=b for the following equations: 2x+5y=10 and 2x+3y=6. is there any common solution?

Answers

Answer:

 x=0 and y=2

Step-by-step explanation:

We have been given system of equations:

2x+5y=10     (1)

And 2x+3y=6     (2)

Subtract equation (2) from(1) we get:

2y=4

y=2

Now, substitute y=2 in equation(2) we get:

2x+3(2)=6

2x+6=6

2x=0

x=0

Hence, x=0 and y=2


The volume of a sphere is 36π in³. What is the radius of the sphere? Enter your answer in the box. in.

Answers

Answer:

3 inches


Step-by-step explanation:

⇒r3=36π×3/4π

or r3=27

Taking cube root of both sides


r=3 inch

What are the roots of this function? f(x) = x2 – 8x + 12 A) {2, 6} B) {8, 12} C) {-3, -4} D) {-4, -4}

Answers

Answer:

A.

Step-by-step explanation:

delta = [tex]b^{2} - 4ac = (-8)^{2}-4*1*12 = 64 - 48 = 16[/tex]

[tex]x_{1} = \frac{b-\sqrt{delta}}{2a} = \frac{8+4}{2} = 6[/tex]  

[tex]x_{2} = \frac{b+\sqrt{delta}}{2a} = \frac{8-4}{2} = 2[/tex]


What is answer for # 38 and #39???

Answers

Answer:

f(x) + g(x) = 6x^2 + 28x + 36

Step-by-step explanation:

Thirty eight

You begin to solve this by writing it like this [just as you have it].

f(x) = x^2 + 5                    Now put g(x) where you see x

f(g(x)) = [g(x)]^2 + 5          Now substitute the right side of g(x) wherever you see g(x)

f(x - 4) = [x - 4]^2 + 5        Expand the brackets

f(x- 4) = x^2 - 8x + 16 + 5

f(x - 4) = x^2 - 8x + 21

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

Thirty Nine

f(x) = (x + 4)^2

g(x) = 5(x + 2)^2

Expand f(x)

f(x) = x^2 + 8x + 16

Expand g(x)

g(x) = 5(x^2 + 4x + 4)                    Remove the bracketsg(x) = 5*x^2 + 5*4x + 5*4              Perform the multiplicationg(x) = 5x^2 + 20x + 20                  

f(x) + g(x) = x^2 + 8x + 16 + 5x^2 + 20x + 20

f(x) + g(x) = 6x^2 + 28x + 36

Can y’all help me simplify to the lowest terms I’m a 5th grader so show me the steps plz

Answers

add all numbers on top and the highst number is the domain

According to the Doppler effect, if a car with a blowing horn is moving toward you, the pitch you hear will

Answers

Answer:

If a car with a blowing horn is moving toward you, the pitch sounds higher than the actual emitted frequency.

Step-by-step explanation:

In figure,

        V= speed of wave

         U= speed of car

When car moving towards you, then

Car travels a distance in time T = VT

 Wave travels a distance in time T = UT

From figure,

                    change in wavelength (λ') = VT - UT= T(V-U)

Now,

        V = λ' f'         (f' →frequency observed by you)

         f' = V ÷ λ' = [tex]\frac{V}{T(V-U)}[/tex]

We know that

                      [tex]\frac{1}{T}[/tex] = f

Then,

        f' =  [tex]\frac{Vf}{V-U}[/tex]

        f' = [tex]\frac{f}{1-\frac{U}{V} }[/tex]

Hence, we can say that

           frequency increases as source moves toward you.

Answer:

B. Increase

Step-by-step explanation:

The closer together the crests, the higher the frequency (or pitch)

The cost of a ticket to a concert with 3% sales tax cab be represented by the expression t + 0.03t simply the expression then determine the total cost after the sales tax of the original price is $72

Answers

t = the cost of the ticket which is $72 without tax.

The equation s(sale after tax) = t + 0.03t, is for the ticket after tax, represented as s.

Now apply the equation to find the cost for the ticket after tax :

[tex]s= 72 + (0.03)(72) = 74.16 \: dollars[/tex]

So the final answer is $74.16

I hope this helps.

if you are solving a system of equations and you came to a statement like for equals four, what do you know about the solution to the system?

Answers

Answer:

see explanation

Step-by-step explanation:

when solving an equation and the final statement reads

4 = 4

this means that there are an infinite number of solutions to the system


A 52% video game is advertised for 20% off. If sales tax is 6%,how much will the video game cost

Answers

Answer:

Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer . I hope I could help

Step-by-step explanation:

m% of n is what percent of p?
FIND FOR PERCENT

Answers

[tex]\( m\% \) of \( n \) is \( \frac{{m \times n}}{{p}}\% \) of \( p \).[/tex]

To find what percentage m% of n is of p, you would calculate:

[tex]\[ \text{Percentage} = \frac{{(m\% \text{ of } n)}}{p} \times 100\% \][/tex]

Substituting [tex]\( m\% \) of \( n \) with \( \frac{m}{100} \times n \), t[/tex]he formula becomes:

[tex]\[ \text{Percentage} = \frac{{\frac{m}{100} \times n}}{p} \times 100\% \][/tex]

Simplify the expression:

[tex]\[ \text{Percentage} = \frac{{m \times n}}{{100 \times p}} \times 100\% \][/tex]

[tex]\[ \text{Percentage} = \frac{{m \times n}}{{p}}\% \][/tex]

So,[tex]\( m\% \) of \( n \) is \( \frac{{m \times n}}{{p}}\% \) of \( p \).[/tex]

What is the sum of the tens digit and the thousandths digit in the number 102.36148?

Answers

Answer:


Step-by-step explanation:


And Answer: The 2 after the 0 is the tens. The 1 is the thousands(before the 0)


Step-by-step explanation:


Paws at play made a total of $1234 grooming 22 dogs. Paws at Play charges $43 to groom each small dog and $75 for each large dog.

a. Write a system of equations that can be used to determine the number of small and large dogs that were groomed.

b. How many large dogs did Paws at Play groom?

Answers

Answer:

Answer (a):

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Answer (b)

9 large dogs.

Step-by-step explanation:

Paws at Play made a total of $1234 grooming 22 dogs.

Paws at Play charges $43 to groom each small dog and;

$75 for each large dog.

Let the number of small dogs be 's'

And the number of large dogs be 'l'

A system of equations will be:

s + l = 22 ... (i)

43s + 75l = 1234 ... (ii)

Solving this set of simultaneous equations by elimination, we simply multiply (i) by 43 to get;

43s + 43l = 946 ... (i)

43s + 75l = 1234 ... (ii)

Subtracting (i) from (ii) we get;

32l = 288 , l = [tex]\frac{288}{32}[/tex] = 9

So there are 9 large dogs.

Suppose you have a 1/10 chance of winning with a scratch-off lottery ticket. If you buy 3 tickets, what is the probability of winning with all 3

Answers

You would do 1/10^3 so a 1and 1000th chance

Answer:

0.001

Step-by-step explanation:

We are given that

Suppose you have the probability of winning with a scratch -off lottery ticket,P(A) =[tex]\frac{1}{10}[/tex]

Probability:It is defined as the possibility of an event that is occurred or not.

It is obtained by dividing  the number of favourable cases with total number of cases.

The formula of finding out the probability of an event

P(E)=[tex]\frac{Number\;of\;favourable\; cases}{Total\;number\;of\;cases}[/tex]

We have to find the probability of winning 3 lottery

The probability of winning all three tickets,[tex]P(A AA)=P(A)\cdotP(A)\cdotP(A)[/tex]

Therefore, the probability of winning all 3 lottery =[tex]\frac{1}{10}\times \frac{1}{10}\times \frac{1}{10}[/tex]

The probability of winning all three tickets,P(A AA)=[tex]\frac{1}{1000}[/tex]

The probability of winning all three tickets,P(A AA)

=0.001

Answer:0.001

Yogesh has 3 quarters, 1 dime, and 2 pennies

Answers

The answer is 87

How:
quarter = 25¢
dime= 10¢
penny= 1¢

25×3=75
10×1=10
1×2=2

Add them all up

75
+10
+ 2 =87

Answer: Yoghes has $0.87

Step-by-step explanation: We want to know the total amount of money that Yogesh has:

each quarter values 25¢, a dime values 10¢, and a penny values 1¢

(or the values can be written as $0.25, $0.10 and $0.01 respectively)

Yogesh has 3 quarters, so this means he has: 3*$0.25 = $0.75

he has 1 dime, so in dimes, he has: $0.10

he has 2 pennies, so in pennies, he has: 2*$0.01 = $0.02

If we sum up the 3 amounts, we have:

Total = $0.75 + $0.10 + $0.02 = $0.87

2x−(3x−4)=3x−5. pls solve

Answers

Answer:

x=9/4

Step-by-step explanation:

Performing the indicated multiplication, we get

2x - 3x + 4 = 3x - 5

Combining the x terms, we get -4x = -9, so that x = 9/4.

Yana and Amber play a word game using tile letters. Each person takes 7 tiles from a set of tiles. Points are earned by using the chosen letter tiles to make a word. Points are lost when tiles are returned to the set and new tiles are chosen. The table shows the points earned or lost by each girl in their first six turns of the game.

Answers

Answer:

A Yana's average number of points is 0.5 points greater than Amber's

Step-by-step explanation:

i added up all of Yana's points = 15

I added up all of Amber's points = 12

then i divided them both by 6 because there is 6 numbers total so then i got

Yana = 2.5 Amber = 2


2.5 - 2 = 0.5 so Yana's average number of points is 0.5 points greater than Amber's

:}

Answer:

A: Yana's average number of points is 0.5 points greater than Amber's

Step-by-step explanation:

I did this on my homework

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