Sam travel 20 miles in three hours. Sam walked part of the distance at a speed of 4 mph. Sam rode his bicycle for the remaining distance at a speed of 12 mph. How many hours did Sam spend walking? How many hours did Sam spend biking?

Answers

Answer 1

Answer:

Sam sokey 0.5 hours biking and 3.5 hours walking

Step-by-step explanation:

Here, we want to know the number of hours spent walking and biking

Mathematically; distance = speed * time

Let the number of hours spent walking be x and the number of hours spent biking be y

Mathematically;

x + y = 3 •••(i)

distance spent walking = 4 * x = 4x miles

distance spent biking = 12 * y = 12y miles

4x + 12y = 20

divide through by 2

2x + 6y = 10 ••••••(ii)

From i , x = 4-y

Substitute this into ii

2(4-y) + 6y = 10

8 - 2y + 6y = 10

8 + 4y = 10

4y = 10-8

4y = 2

y = 2/4 = 0.5 hours

The number of hours spent walking = 4-0.5 = 3.5 hours


Related Questions

what is $3 as a decimal​

Answers

Answer:

3.00

Step-by-step explanation:

Answer:

3.00

Step-by-step explanation:

Since three is a whole number, that means it would be in front of the decimal.

Plzs help I give u BRAINLIST

Answers

Answer:

$30,170.36

Step-by-step explanation:

I'm good at math, and I double checked with someone... I am perfectly sure that $30,170.36 is the answer.

How is online school going so far?

Answers

Good for me :):):):):):):):)

What does "opposite semi-planes of segment" mean?

Answers

Answer:

opposite half-planes – the two half-planes that are separated by a particular line of the plane. If points Y and Z are in opposite half-planes, the segment joining them must intersect the edge.

Step-by-step explanation:

(-2 1/3 + 5 1/5) + 1 1/3 =

Answers

4Answer:

exact form:

[tex]\frac{21}{5\\}[/tex]

decimal form:

4.2

mixed number form:

4[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

21/5 hehehehehehehheehhehe

What describes the reflection of the figure?
A) reflection over the x-axis
B) reflection over the y- axis
C) reflection over the line x=2
D) reflection over the line x=-2

Answers

reflection over y axis

Express the following number as a decimal:
2 x 10^-6

Answers

Answer:

0.000002

Step-by-step explanation:

2* 10^-6

is the same as

2 * 0.000001

which is

0.000002

Answer:

The answer is: 0.000002

Step-by-step explanation:

Have a great day!

Select ALL graphs that do NOT represent a function.

Answers

Answer:

3 and 5

Step-by-step explanation:

If you do the vertical line test those ones do not pass. The vertical line test is the test you do to see if it is a function. You draw a vertical line and if that line crosses the graphed line only once it is a function.

−15 ÷ 5 =


A number line going from negative 30 to positive 30. An arrow goes from 5 to 10, from 10 to 15, from 15 to 20.

Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers.
The arrows should point in the negative direction.
The small arrows should end in the same place as the large one.
The arrows should end on negative 15.
The arrows should start at zero.
There should be 5 small arrows.

Answers

Answer:

-3 is the answer because if we divide 15 by 5 we get 3 . So it is same only the question is -15 divide by 5 so the answer is -3

Answer:

The answer is A,C,D

Step-by-step explanation:

Just had the question :D

BELLE FABRICE HAD $1.70 IN NICKELS AND DINES IN HER POCKET. IF SHE HAD TWO MORE DIMES THAN NICKELS, HOW MANY OF EACH TYPE OF COIN DOES SHE HAVE?​

Answers

Answer:

12 dimes, 10 nickels

Step-by-step explanation:

12x10=120 or in this case $1.20

10x5=50 or $0.50

50+120=170 or $1.70

Sorry if any of it is wrong, I am doing this in the car and in my head

A 2×2 square is divided into four 1×1 squares. Each of the small squares is to be painted either green or red. In how many different ways can the painting be accomplished so that no green square shares its top or right side with any red square? There may be as few as zero or as many as four small green squares.

Answers

Answer:

2

Step-by-step explanation:

Let's denote all the four square by 1, 2, 3, and 4 as shown in the figure.

Each of the small squares is to be painted either green or red

The total numbers of the possible cases are:

(1) The number of cases if there is no green color square = 1 (all red)

(2) The number of cases, if there is 1 green color square = 4 as either of 4 small squares can be green (1G,2G,3G,4G).

(3) The number of cases if there is 2 green color square = 2+4=6 as

for diagonal positions: 2 which are (1G,3G), (2G,4G).for non-diagonal positions:4 which are (1G,2G), (1G,4G), (2G,3G), (3G,4G)

(4) The number of cases, if there is 3 green color square = The number of cases, if there is 1 red color square= 4 as either of 4 small squares can be red (1R,2R,3R,4R).

(5) The number of cases if there is 4 green color square = 1 (all green)

So, the total numbers of possible cases = 1+4+6+4+1=16.

Now, possible positions for which no green square shares its top or right side with any red square are the diagonal positions as mentioned in point (3), i.e (1G,3G), (2G,4G)

So, the total numbers of favorable cases = 2

Hence the total number of different ways for painting each of the small squares so that no green square shares its top or right side with any red square is 2.

I listed possibilities:

1 Green Square:

RG

RR

2 Green Squares:

RG

RG

GG

RR

3 Green Squares

GG

RG

4 Green Squares

GG

GG

0 Green Squares

RR

RR

Find pairs of points with a slope of ²/₅

Answers

Answer:

Look below

Step-by-step explanation:

To find a slope with 2/5, you can use y2 - y1/x2 - x1. The 1 and 2's can be different but you cannot mistake the x and y.

1st example:

(1, 5), (6, 7)

Reason: (7-5)/(6-1) = 2/5

2nd example:

(2, 8), (7, 10)

Reason: (10 - 8)/(7 -2) = 2/5

3rd example:

(5, 2), (10, 4)

Reason: (4-2)/(10 -5) = 2/5

Hope this helped!!!!!

What is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)

Answers

Answer:

Step-by-step explanation:

If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. You can also graph the two points and use rise over run. [tex]\frac{7-(-5)}{-5-7} =\frac{12}{-12}=-1[/tex]

-1  is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)

What is a Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, a line that is parallel to the line joining (7,-5) and (-5,7)

Since lines are parallel to each other thus their slope will be the same.

From the general formula of slope:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (7 + 5)/ -5 - 7)

Slope = -1

Therefore, the slope of a line that is parallel to the line joining (7,-5) and (-5,7) is -1.

Learn more about Linear equations here:

https://brainly.com/question/11897796

#SPJ2

Asking for the answer to this algebra problem please! Tysm!

Answers

Answer:

b

Step-by-step explanation:

i did the math

An art gallery owner purchases art at flea markets and sells the art for a 14% profit in the gallery. If the owner purchases a piece of art for $885 at a flea market, what will be its selling price in the gallery?

Answers

Answer:

$1008.9

Step-by-step explanation:

Given

Cost of piece of art = $885

Percent profit made = 14%

Profit amount = 14% of $885

Profit amount = 14/100×885

Profit amount = 12390/100

Profit amounts to $123.90

Selling price = cost price + profit amount

Selling price = $885+$123.90

Selling price = $1008.9

Hence the selling price for the art at the gallery is $1008.9

Answer:

$1008.9

Step-by-step explanation:

?×3/4=-6
what does ? equal
please answer asap

Answers

Answer:

-8

Step-by-step explanation:

1. Write as a base with a positive exponent, then evaluate. Write your final answer as a
fraction where required.

a) 4^-2

Answers

Answer:

Well a base with a positive exponent would be 5^3. All this means is 5x5x5 which is 125.

Step-by-step explanation:

Hope this helps!

HELP ME PLS
GRADES ARE DUE TODAY

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Most of this exercise is looking at different ways to identify the slope of the line. The first attachment shows the corresponding "run" (horizontal change)  and "rise" (vertical change) between the marked points.

In your diagram, these values (run=1, rise=-3) are filled in 3 places. At the top, the changes are described in words. On the left, they are described as "rise" and "run" with numbers. At the bottom left, these same numbers are described by ∆y and ∆x.

The calculation at the right shows the differences between y (numerator) and x (denominator) coordinates. This is how you compute the slope from the coordinates of two points.

If you draw a line through the two points, you find it intersects the y-axis at y=4. This is the y-intercept that gets filled in at the bottom. (The y-intercept here is 1 left and 3 up from the point (1, 1).)

Henry predicted whether he got answers right or wrong in his 50 question exam. He identified the 31 questions he thought he got right. It turns out that Henry got 6 questions wrong that he thought he got correct and he only got 12 of the questions wrong he had predicted. What is the percentage accuracy he had with predicting his scores?

Answers

Answer:

74%

Step-by-step explanation:

Given that :

Total number of questions = 50

Total correct prediction :

Correct and right prediction = ( 31 - 6) = 25

Correct wrong prediction = 12

Total correct predictions = (25 + 12) = 37

Percentage prediction accuracy :

(Total correct prediction / total questions) * 100%

(37/ 50) * 100%

0.74 * 100%

= 74%

help me out bro
7 (x-3)+3 (4-x)= -8

Answers

Answer:

x = 1/4

Step-by-step explanation:

remove the parenthesis

collec like terms

caculate

move constant to the right

calculate

divide both sides

WILL MARK BRAINLIEST
linear equations and systems:
The HHS band sold 250 dinners at a barbeque a child's plate cost $3.50 and a adult plate cost $7.00 a total of $1347.50 was collected how many adult plates are served

Answers

Answer:

There were 135 adults that were served.

Step-by-step explanation:

Let's use c for child's cost and a for adult's cost.

The total amount is 1347.50. With this, we can create an equation to solve for adults.

a + c = 250

3.50c + 7a = 1347.50

Using system of equations, we can plug in values to get our answer.

c = 250 - a

3.50(250 - a) + 7a =

875 - 3.5a + 7a =

3.5a = 472.5

135 = a

115 = c (when you plug a into the equations)

There were 135 adults that were served.

Answer:

135

Step-by-step explanation:

x = number of child's plate

y= number of adult's plate

x+y=250 => 1

3.50x+7y=1347.50 => 2

Multiplying equation 1 by 3.50,

3.50x+3.50y=875 =>

Subtracting equation 3 from equation 2,

3.50x +7y - 3.50x - 3.50y = 1347.50 - 875

3.50y = 472.50

y= 135

If the leading coefficient is negative, always factor out the negative.
-x^2+5x-6​

Answers

Answer:

-1(x-2)(x-3)

Step-by-step explanation:

first we factor the negative:

-1 (x^2 - 5x +6 )

the next step, (if possible) is to guess 2 numbers that multiplied are 6

and added are -5

in this case is easy to see that those numbers are -2 and -3

The solution then is:

-1(x-2)(x-3)

If guessing the 2 numbers doesn't work, you need to complete the square

What is the reflection?

Answers

Answer:

u' = (-1, -4) , v' = (2, -4), w' = (2, -7)

Step-by-step explanation:

Best representation of 5 7/3

Answers

Answer:what it is

Step-by-step explanation:

Will be it’s improper fraction

22/3

What is the slope? Pls answer quickk

Answers

Answer:

4/5

Step-by-step explanation:

rise/run is the slope

4/5 rise of the line and run

The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.

Answers

Answer: in the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.

Answer:

the denominator in 6/9.75 is incorrect

Step-by-step explanation:

find unit rate then x 24 numerator. 24 the denominator,

the denominator in 6/9.75 is incorrect.

I need help, marking as Brainliest.

Answers

Answer:

1)There has just been a dilation and translation of the first triangle to get to the second. Their hypotenuses have the same slope of +1.

2)There has just been a dilation since they are on about the same points of the line with a slope of  1  1/2.

3)They are related because they are both on the line with a slope of -3/2

4)Only a translation happened since they are the same size and are on the same line that has a slope of 2/3

Step-by-step explanation:

I need help please.

Answers

Answer:

10. y=the total amount of money

A) y=4m

B) y= 4(5.25)

y= $21

11. y= total amount of money

A) y= 40m + 35

B) y= 40(10) + 35

y= $435

Number 10:

You know five people, you and four friends, are contributing the same amount of money for food.  Lets say F = Food and M=Money.  Since they are contributing the same amount of money, it would be 5 * m, or 5m.  So, F would equal 5m.   F=5m.

Part B-  You would do the same expression, F=5m, but you would instead plug 5.25 in for m.  So, 5.25 times 5 would equal 26.25 dollars.

Number 11:

Part A- Let M equal months.  $40 times the number of months + 35 is the total cost, so 40m +35 is the expression.

Part B-  Since the total cost is 40 dollars times the number of months + $35, you would multiply 40 * 10, to get 400 dollars over 10 months.  Then you would add the $35 fee, so the answer would be $435.

Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove ∠q ≅ ∠s. A) Transitive property B) Addition property of equality C) Subtraction property of equality D) Substitution property

Answers

Answer:

C) Subtraction property of equality.

Step-by-step explanation:

Given that, two lines [tex]x[/tex] and [tex]y[/tex] intersect to make pairs of vertical angles:

[tex]\angle q, \angle s[/tex] and [tex]\angle r, \angle t[/tex].

Kindly refer to the attached image for details of the given angles and lines.

Proof that [tex]\angle q\cong \angle s[/tex] :

[tex]\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}[/tex]

Here, subtraction property of equality is used in the last step shown in the above.

As per the Subtraction property of equality, when some value is subtracted from both the sides of the equality, equality remains the same.

Answer:

C

Step-by-step explanation:

Because I am a genius

CARL HAS $30 TO SPEND AT
THE ARCADE. HE SPENT $12 ON
FOOD AND EACH GAME COSTS
$1.75. WRITE AN INEQUALITY
TO FIND THE MOST NUMBER OF
GAMES CARL CAN PLAY.

Answers

Answer:

12+1.75=13.75 30-13.75 =17.75

Step-by-step explanation:

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