You ride your bike at an average of 12 miles per hour on the way to school, and at an average of 15 miles per hour on the way home. The total ride time is 22 minutes. How far away is school? Round your answer to the nearest hundredth of a mile

Answers

Answer 1

Answer:

2.44 miles

Step-by-step explanation:

Give the following :

Average miles to school = 12 miles per hour

Average Miles from school = 15 miles per hour

Total ride time : ( time to school + time from school) = 22 minutes = (22/60) = 0.3667

Recall:

Speed = distance / Time

Time = distance / speed

Let distance = d

For the scenario described :

d/12 + d/15 = 0.3667

(5d + 4d) / 60 = 0.3667

5d + 4d = 22

9d = 22

d = 22/9

d = 2.44 miles


Related Questions

If
x
=
9
and
y
=

2
, evaluate the following expression:
2
x
y

Answers

Answer:

solution,

given,

x=9 and y=-2

now,

2xy

= 2*9 * -2

= 18 * -2

= -36#

The value 2xy is -36.

What is evaluation?

Evaluation is the structured interpretation and giving of meaning to predicted or actual impacts of proposals or results.

Given that, x = 9 and y = -2

2xy = 2*2*-9 = -36

Hence, The value 2xy is -36.

For more references on evaluation, click;

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Which of the following functions could be f(x) ?

Answers

Answer:

B.  f(x) = -x^3 - x^2 + 7x - 4

Step-by-step explanation:

For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.

For each of these equations, we will simply take the terms with the highest power and consider those.  The two cases we need to consider is + infinite for x and - infinite for x.  Let's check each of these equations.

Note, any value raised to an even power will be positive.  Any negative value raised to an odd power will be negative.

[A] - x^4

When x is +∞ --> - (∞)^4 -->  f(x) is -∞

When x is -∞ --> - (-∞)^4 --> f(x) is -∞

[B] - x^3

When x is +∞ --> - (∞)^3 --> f(x) is -∞

When x is -∞ --> - (-∞)^3 --> f(x) is ∞

[C] 2x^5

When x is +∞ --> 2(∞)^5 --> f(x) is ∞

When x is -∞ --> 2(-∞)^5 --> f(x) is -∞

[D] x^4

When x is +∞ --> (∞)^4 --> f(x) is ∞

When x is -∞ --> (-∞)^4 --> f(x) is ∞

Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).

Cheers.

Help!! What is 44/32 as a simplified fraction?

Answers

[tex]\tt{Hey![/tex]

[tex]\tt{Answer:} 1\frac{3}{8}[/tex]

[tex]\tt{Explanation:[/tex]

[tex]\tt{\frac{44}{32}[/tex]

To convert 44/32 into a simplified fraction, you will take 32 away from 44 since it equals 1:

[tex]\tt{\frac{44}{32}= 1\frac{12}{32}[/tex]

Now simplify 12/32:

[tex]\tt{\frac{12 \div 4}{32 \div 4}=\frac{3}{8}[/tex]

You have to keep the whole number 1 and add it to 3/8:

[tex]\boxed{\tt{1\frac{3}{8}}}[/tex]

Hope this helps!☺

Simplifying Products and Quotients of Powers
HELP(look at picture)ASPAP WORTH 20 POINTS WILL GIVE BRAINLIEST!

Answers

Answer:

a = 10   b = 6

Step-by-step explanation:

7^2 * 7^8

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

7^4

We know that a^b* a^c = a^( b+c)

7^(2+8)

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

7^4

7^(10)

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

7^4

We know that a^b / a^c = a^(b-c)

7^(10-4) = 7^6


The area of a rectangle is greater than 60 ft. The width of the rectangle is 2x - 3 ft and the
length is 12 ft. Write an inequality and solve for x

Answers

Answer:

Inequaliy: 2x-3(12)>60

X>48

Step-by-step explanation:

Since area of a rectangle is W(L)=A

The inequality given right here including length And width and area Plugged in would be

2x-3(12)>60.  (It’s >60 because the area stated in the problem said to be greater then 60 so we put a Greater then sign)

Combine like terms and solve

2x-36>60

Add 36 on both sides

2x>96

Divide 2 on both sides to isolate variable

x>48

Check:

2(50)-36>60 ( I used 50 because it’s greater then 48 and it’s a easy number to work with for just a check)

solve:

100-36>60

64>60✔️

Find BR given GB = 3x – 5, BR = 6x – 15, and GR = 70

Answers

3x-5+6x-15=70
9x-20=70
+20 +20

9x=90
9x/9=90/9
x=10

SO now plug it back in
6(10)-15
60-15
BR=45

i hope this was the answer you are looking for!!

You want to make bouquets of balloons. You choose 15 and 12 balloons. Every bouquet will have the same number of each color. What is the greatest possible number of bouquets you can make using all the​ balloons? Estimate how much you will earn if you sell each bouquet for ​$3.99.

Answers

Answer:

3 ; $11.97

Step-by-step explanation:

Given that:

Balloon options : 15 and 12

Every bouquet has same number of each color :

Greatest possible number of bouquet possible using all the balloons :

Greatest common factor of both 15 and 12:

15 : 1, 3, 5, 15

12 : 1, 2, 3, 4, 6, 12

Hence the greatest common factor of both 15 and 12 is 3

Hence,

Greatest possible number of bouquet possible using all the balloons = 3

If each bouquet is sold for $3.99 :

Earning will be :

Number of bouquet * price per bouquet

3 × $3.99

= $11.97

What are the solutions for the given equation ?⬇️

x^2- 6x + 12 = 0

Answers

It’s definitely gonna C

If the sum of four consecutive numbers is 1998, what is the third one?

Answers

Answer:

[tex]\huge\boxed{500}[/tex]

Step-by-step explanation:

In order to solve this, we have to note that consecutive numbers are numbers that are one more than the last.

If our first number is represented as [tex]n[/tex], then we know that the next number will be [tex]n+1[/tex], the next will be [tex]n+2[/tex], and so on.

Since we want 4 numbers, we can create the equation:[tex]n + (n+1) + (n+2) + (n+3) = 1998[/tex]

Now we want to solve for [tex]n[/tex]. It's important to note that [tex]n[/tex] is our first number.

Combine like terms:

[tex]4n+6=1998[/tex]

Subtract 6 from both sides:

[tex]4n=1992[/tex]

Divide both sides by 4:

[tex]n = 498[/tex]

We want the third number in the set of these four numbers. Looking back to our equation ([tex]n + (n+1) + (n+2) + (n+3) = 1998[/tex]) we can see that the third term here is [tex]n+2[/tex]

[tex]498+2=500[/tex]

Hope this helped!

help plz...........................

Answers

Answer:So its simple just forget about the letters add the numbers then place the letter and x

Step-by-step explanation: ( Always Parentheses first) Then i think you divide it by the outside number

Answer:

in order of the picture:

18w+8                           -48x-24

16d+20                          -48p-18

6v-16                              25m-10

-24z+16                          -9n+36

10d-2                             -36k-36

-14j-10                             -9b+6

24j-9                               3v+5

-72v-16                             18h-72

-20f+32                           -7x+8

4p-6                                 45t+72

Step-by-step explanation:

Hope this helps.

what is the constant of the function f(x)=8x(squared 2) - 7x+6

Answers

Answer:

6

Step-by-step explanation:

A constant has no variables multiplied to it.

f(x) = 8x² - 7x + 6

8x² and -7x would have variables and would be terms.

6 would just be a constant cause it doesn't change.

If 10 pounds of sugar Cost $12 , how much would one pound of sugar cost?

Answers

Answer:

$1.2

Step-by-step explanation:

12 / 10 pounds = 1.2

Answer:

$1.20

 12/10= 1.2

Step-by-step explanation:

Will the border line of the graph of y < - 2 + 4x + 5 be a solid line or a broken
line?

Answers

Answer:

broken (or dotted)

Step-by-step explanation:

y will only be less than 2 + 4x + 5

never equal to it

m-(5-3m)=7m+10


What is m?

Answers

Answer:−(5−3m)=7m+10

m+−1(5−3m)=7m+10(Distribute the Negative Sign)

m+(−1)(5)+−1(−3m)=7m+10

m+−5+3m=7m+10

(m+3m)+(−5)=7m+10(Combine Like Terms)

4m+−5=7m+10

4m−5=7m+10

Step 2: Subtract 7m from both sides.

4m−5−7m=7m+10−7m

−3m−5=10

Step 3: Add 5 to both sides.

−3m−5+5=10+5

−3m=15

Step 4: Divide both sides by -3.

−3m

−3

=

15

−3

m=−5

Step-by-step explanation:

brainliest pleaseee

M-(5-3m)=7m+10
M-5+3m=7m+10
4m-5=7m-10
-5=3m-10
5=3m
1.67=m

Solve for x. 2/5≤x−4

Answers

Answer:

4.4 ≤ x

Step-by-step explanation:

2/5 ≤ x  -4

solve using inverse operations:

2/5 ≤ x - 4

0.4 ≤ x - 4

+4        +4

4.4 ≤ x

Hello there!☺

[tex]Answer:\boxed{x\geq \frac{22}{5}}[/tex]

[tex]Explanation:[/tex]

[tex]\frac{2}{5}\leq x-4[/tex]

Let's start by flipping the inequality:

[tex]x-4\geq \frac{2}{5}[/tex]

Now in our second/final step, add 4 to both sides:

[tex]x-4+4\geq \frac{2}{5}+4\\ x\geq \frac{22}{5}[/tex]

Hope this helps!☺

Help please!!!!!!!!!!!

Answers

Answer:

375.6

Step-by-step explanation:

What is the first step in solving the inequality 2x + 3 2 17?
O Divide the left side by 2.
O Subtract 3 from both sides,
O Change the direction of the inequality,
O Change the inequality to >

Answers

Answer:

subtract 3 from both sides.

Answer:

B) Subtract 3 from both sides.

Step-by-step explanation:

EDGE 2020

∠1 and ∠2 are supplementary angles. If m∠1 = 77°, then m∠2 =

Answers

Answer:

m∠2 = 103°

Step-by-step explanation:

Since ∠1 and ∠2 are supplementary angles, together they equal 180. So, you would just subtract 180-77 and get 103. To check if you are correct just add ∠1 and ∠2 ( 77+103) and you'll get 180 :)

Line Q has a slope of 3. Line R is parallel to line Q.What is the slope of line R?

Answers

Answer:

3

Step-by-step explanation:

Parallel lines have the same slope

So if line Q has a slope of 3

Line R which is parallel to Q must have a slope of 3

Solve for X
-10 - 6(x - 4) = x - 42

Answers

Answer: 5

Step-by-step explanation:

-10 -6(x-4)=x-42

-6*x=-6x

-6*-4=24

-10-6x+24=x-42

           -24= -24=18

-10-6x=x-18

+10=+10=28

-6x=x-28

     x+=+x

-5x=-28

-5/-28=

x=5

does anybody know when your doing algebra 1 if you do addition first or if you do subtraction first

Answers

Answer:

addition first

Step-by-step explanation:

PMDAS   1

P:Parenthesis     2

M:Multiply    3

D:Divide    4

A:Add    5

S:Subtract   6

Adding is before subraction

Answer:

You do whichever one is first

Step-by-step explanation:

Parenthesis

Exponents

Multiplication/Division

Addition/Subtract

Hope it helps

Mary wants to buy a laptop that costs $152.75. If she can save $11.75 a week working at the motel, how many weeks will Mary have to work in order to buy the laptop?

Answers

Answer: 13 weeks

Step-by-step explanation:

152.75÷11.75=13

13×11.75= 152.75

the ratio of red marbles to yellow marbles placed in a bag is 2:7. More marbles are added to the bag: 3 red and 3 yellow marbles. Maria states that the ratio is still the same since equal amounts of red and yellow marbles were added to the bag

Answers

Answer: False.

Step-by-step explanation:

Initially, the ratio is 2:7

This means that if we have 2 red marbles, we must have 7 yellow ones.

The quotient here is 7/2 = 3.5

Now, if you add 3 marbles of each colour, then we have:

2 + 3 = 5 red marbles

7 + 3 = 10 yellow marbles.

Now the ratio is 5:10

This means that for every 5 red marbles, we have 10 yellow ones.

But now we can divide both numbers by the same positive integer, because they have a common factor equal to 5.

5/5 = 1

10/5 = 2

Then we have:

5:10 = 1:2

So the new ratio is 1:2

Then the ratio changed when we added the new marbles, which means that Maria was wrong.

Convert the angle measure 40° to a radian measure?

Answers

Answer:

The answer is

[tex] \frac{2\pi}{9} \\ [/tex]

Step-by-step explanation:

To convert an angle from degrees to radians multiply the value by [tex] \frac{\pi}{180} [/tex] .

From the question the value is 40°

It's equivalent in radians is

[tex]40 \times \frac{\pi}{180} = \frac{40\pi}{18 0} = \frac{2\pi}{9} \\ [/tex]

We have the final answer as

[tex] \frac{2\pi}{9} \\ [/tex]

Hope this helps you

Espa
A family has two cars. During one particular week, the first car consumed 30 gallons of gas and the second consumed 20 gallons of gas. The two cars drove a
combined total of 1050 miles, and the sum of their fuel efficiencies was 45 miles per gallon. What were the fuel efficiencies of each of the cars that week?

Answers

Answer:

30 mpg15 mpg

Step-by-step explanation:

Let x represent the fuel efficiency of one of the cars. Then 45-x is the fuel efficiency of the other. The total miles driven is then ...

  miles = (gallons)×(miles/gallon)

  20x +30(45-x) = 1050

  -10x +1350 = 1050 . . . simplify

  300 = 10x . . . . . . . . . . add 10x-1050

  x = 30 . . . . . . . . . . . . . divide by 10

  45-x = 45-30 = 15

The car using 20 gallons got 30 miles per gallon; the car using 30 gallons got 15 miles per gallon.

Let f(x) = 3 x + 1 What is the value of x when f(x) = 7 ​

Answers

Answer:

2

Step-by-step explanation:

3*2+1 = 7

F(x)=22 because..

F(x) = 3(7)+1
F(x) = 21+1
F(x) = 22

Given points A(0, 0), B(3, 2), and C(−2, 3), which statement is true?
BC is perpendicular to CA.
AB is perpendicular to AC.
AB is parallel to AC.
AB is longer than BC.

Answers

Answer:

AB is parallel to AC

Step-by-step explanation:

the product of the gradients of perpendicular line should be -1

AB=2/3

AC=-3/2

2/3*-3/2=-1

=-1

The correct statement is,

⇒ AB is perpendicular to AC.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

Points are,

A(0, 0), B(3, 2), and C(−2, 3),

Now, We can find slopes as;

AB = (2 - 0) / (3 - 0)

AB = 2/3

AC = (3 - 0)) / (- 2 - 0)

AC = - 3/2

Hence, AB is perpendicular to AC.

Thus, The correct statement is,

⇒ AB is perpendicular to AC.

Learn more about the equation of line visit:

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How Do I Do This Problem?

Answers

Answer:

common denominator is 15

10/15-3/15

7/15

In order to make the denominators of both 15 multiply 3 by 5 and 5 by three. Whats done to the bottom has to be done to the top as well.

Step-by-step explanation:

Anyone know how to do this?

Answers

Answer:

yup very easy

Step-by-step explanation:

What would u like me to do??

Sam deposited $200 into a savings account that pays 4% interest compounded monthly. Approximately how long will it take for the deposit to be worth $220?

A. 3 months
B. 28 months
C. 2 months
D. 29 months

Answers

Answer: It Will Take 3 Months

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