A biker cycles 9 miles in 2/3 of an hour.
a
Make a chart and fill it in to show how far he will bike if he maintains the same pace for 2 hours, 3 hours, 3.5 hours

Answers

Answer 1

Answer:

2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles

Step-by-step explanation:

1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)

2.) 2 hours: 13.5 * 2 = 27 miles

3.) 3 hours: 13.5 * 3 = 40.5 miles

4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles

Answer 2

He rides 27 miles in two hours, 81/2 miles in 3 hours, and 189/4 in 3.5 hours.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A biker cycles 9 miles in 2/3 of an hour.

∴ He rides (9×3/2) is (2/3)×(3/2) hours.

He rides 27/2 miles in 1 hour.

So, He rides (27/2)×2 in 2 hours.

27 miles in 2 hours.

He rides (27/2)×3 miles in 3 hours.

81/2 miles in 3 hours.

He rides (27/2)×(7/2) miles in 7/2 hours.

189/4 miles in 7/2 hours.

learn more about fractions here :

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Related Questions

the volume of a cube is 125m find it's side​

Answers

Answer:

41.6666666667m ( round to nearest whole number if you need to) -> 42m

Step-by-step explanation:

To find the volume

You multiply the length, width, and height. ( V= LxWxH)

So, divide 125 by 3 and you get 41.6666666667.

To check your answer: 41.6666666667 times 3 and you get 125.

I HOPE THIS HELPS YOU!!  :)

Daniel is looking at two different credit card offers. Credit Card A will give him an APR of 22.45%. Credit Card B will offer will be 1.25% each month. Which the better deal?

Answers

Answer:

Credit card B is a better deal

Step-by-step explanation:

in order to compare both credit cards, we must either convert the APR into a monthly rate or the monthly rate to APR.

convert credit card A's APR to monthly rate:

= 22.45% / 12 ≈ 1.87%, which is higher than 1.25%, so credit card B is better

OR

convert credit card B's monthly rate to APR:

= 1.25% x 12 = 15%, which is lower than 22.45%, so credit card B is better

What is the value of x in the equation 5 x + 3 = 4 x? –3 Negative one-third One-third 3

Answers

Answer:

?

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

5 x + 3 = 4 x

5x+3-3=4x-3

5x=4x-3

subtract four from both sides=x=-3

x=-3 is your final answer!

Write an equation in slope-intercept form for the line that passes through (8,1) and (4,3)

Answers

Answer:

y= -1/2x+5

Step-by-step explanation:

u just have to use the y=mx+b form and youll be good

Where in the real-world is the Pascal Triangle used? Provide an example.

Answers

Answer:

There are many colored pebbles to choose from out of the driveway. Karmin could not decide what one he wanted for his school project. So he took the best looking 4 from the driveway. 3 of them are now his backups.

You use this tequnic (sorry I can't spell) almost everyday. When ever you think about how much of something to take, you could be using this Pascal Triangle.

I hope this helped.

Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s collection. If Freddy gives Alex 10 stamps, the ratio will change to 7:9. How many stamps are in both collections together?

Answers

suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160

-2-(x-3)=-4
What does x equal?

Answers

Answer:

x = 5

Step-by-step explanation:

-2 -(x-3) = -4  

 You have to switch the signs into their opposites when you have -(?)

-2 - x + 3 = -4              Add liked terms

-x + 1 = -4              

    - 1   - 1                     Subtract 1 from both sides

-x = -5                         Get rid of the negative in the x

/-1   /-1                          Divide -1 from each sides

x = 5

-2(x-3)=-4
Y-3=2
x=2+3
x=5

Why would you need inequalities?
plz, help me write a paragraph answering this question ^^^
I really really need help
I will mark brainiest or whatever just plz plz plz help me
has to be at least 3 sentances

Answers

Answer:

An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.

Step-by-step explanation:

Dilate line f by a scale factor of one half with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?
(A) The locations of A' and B' are A' (0, 2) and B' (0, 0); lines f and f' intersect at point A.
(B) The locations of A' and B' are A' (0, 1) and B' (1, 0); lines f and f' are parallel.
(C) The locations of A' and B' are A' (0, 0) and B' (2, 0); lines f and f' intersect at point B.
(D) The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.

Answers

Answer:

B. The locations of A' and B' are A' (0, 1) and B' (1, 0); lines f and f' are parallel.

Step-by-step explanation:

Took the test

A cell phone company charges $15 for 100 minutes. What is the cost per minute? Round to the nearest cent.

Answers

Answer:

.15 dollars per minute.

Step-by-step explanation:

Answer:

.15 for one minute to you just had to divide 15÷100

PROBLEM SOLVING Find the value of k so that the graph of the equation has the given y-intercept.
y = -1/3x + 5/6k; b = - 10

K=?

Answers

Answer:

2k⋅(3k−7)⋅(k+4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((6 • (k3)) +  (2•5k2)) -  56k

STEP

2

:

Equation at the end of step

2

:

 ((2•3k3) +  (2•5k2)) -  56k

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  6k3 + 10k2 - 56k  =   2k • (3k2 + 5k - 28)

Trying to factor by splitting the middle term

4.2     Factoring  3k2 + 5k - 28

The first term is,  3k2  its coefficient is  3 .

The middle term is,  +5k  its coefficient is  5 .

The last term, "the constant", is  -28

Step-1 : Multiply the coefficient of the first term by the constant   3 • -28 = -84

Step-2 : Find two factors of  -84  whose sum equals the coefficient of the middle term, which is   5 .

     -84    +    1    =    -83

     -42    +    2    =    -40

     -28    +    3    =    -25

     -21    +    4    =    -17

     -14    +    6    =    -8

     -12    +    7    =    -5

     -7    +    12    =    5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  12

                    3k2 - 7k + 12k - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   k • (3k-7)

             Add up the last 2 terms, pulling out common factors :

                   4 • (3k-7)

Step-5 : Add up the four terms of step 4 :

                   (k+4)  •  (3k-7)

            Which is the desired factorization

Final result :

 2k • (3k - 7) • (k + 4)


help me please, I don’t understand

Answers

it's 106° because those the angle given and the angle they're asking for are corresponding angles

Complete the equation describing how x and y are related.

Answers

X is horizontal while y is vertical

roduct of 0.42 * 0.2

Answers

Answer:

0.084

Step-by-step explanation:

0.42 * 0.2 = 0.084

Allison can sew three scarves in 75 minutes How many scares can she spew in 240 minutes

Answers

Answer:

9 scarves

Step-by-step explanation:

240/75=3.2

3.2*3=9.6 scarves

0.6 is not a completed scarf so the is only 9 scarves.

Answer:

9 full ones

Step-by-step explanation:

75/3=25

each scarf takes 25 mins

240/25=9r15

9 is answer

IM SORRY IM WRONG REPORT ME IF I AMMMMMMM

You have 18 pictures to paste to a poster. You want to arrange them on the poster in rows so that there are an equal number of pictures in each row.

a. How many rectangular arrangements are possible? List them.

b. You decide to have no more than 10 pictures in any row or column. How many rectangular arrangements are possible now? List them.

Answers

Answer:

no idea too hard but try  math          way

Step-by-step explanation:

WILL MARK BRANLIEST
1. Solve the inequality for x
-4x + 6 < 50

Answers

Answer:

The answer is -11

Step-by-step explanation:

subtract 6 from both sides.

divide both sides by the negative 4

Simplify 44/-4x

which gives you x= -11

−11 − 15 Group of answer choices -26 26 -4 4

Answers

-26 is ur answer. hope this helps!

Answer:

-26

Step-by-step explanation:

-11 - 15 = -26

I hope this helps!

A point has the coordinates (0, k).

Which reflection of the point will produce an image at the same coordinates, (0, k)?

a reflection of the point across the x-axis
a reflection of the point across the y-axis
a reflection of the point across the line y = x
a reflection of the point across the line y = –x

Answers

Using reflection concepts, it is found that the correct option is:

a reflection of the point across the y-axis

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

The rule for a reflection of a point across the x-axis is: [tex](x,y) \rightarrow (x,-y)[/tex], thus [tex](0,k) \rightarrow (0,-k)[/tex]The rule for a reflection of a point across the y-axis is: [tex](x,y) \rightarrow (-x,y)[/tex], thus [tex](0,k) \rightarrow (-0,k) = (0,k)[/tex]. This is the correct option.The rule for a reflection of a point across the line y = x is: [tex](x,y) \rightarrow (y,x)[/tex], and thus, [tex](0,k) \rightarrow (k,0)[/tex].The rule for a reflection of a point across the line y = -x is: [tex](x,y) \rightarrow (-y,x)[/tex], and thus, [tex](0,k) \rightarrow (-k,0)[/tex].

A similar problem is given at https://brainly.com/question/15196246

Answer:

b

Step-by-step explanation:

can some one help???
Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown:

Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD?

A) Reflection about the x-axis followed by a translation to the right by 2 units
B) Reflection about the y-axis followed by a translation to the left by 2 units
C) Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units
D) Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units

Answers

Answer:

B

Step-by-step explanation:

Write an equation in slope-intercept form of the line with a y-intercept of -6 and is parallel to a line that is perpendicular to 5x + 6y - 13 = 0

Answers

Answer:

y= −5/6 x+ 13/ 6

Step-by-step explanation:

I think tis the type of answer your looking for let me know if it's not


Determine the intercepts of the line.
x-intercept(_,_)
y-intercept(_,_)

Answers

Answer:

the x-intercept is (-10, 0) the y-intercept is (-45, 0)

Answer:

X intercept is (-10,0)

Y intercept is (0,-40.5)

Step-by-step explanation:

Hope this helps.

((I'LL GIVE BRAINIEST))Write an expression for the perimeter of the triangle shown below: (4 points)



A triangle is shown with side lengths labeled 0.5x plus 9, 3x, and negative 3.4x minus 25.

a
6.9x − 16

b
6.9x + 16

c
0.1x − 16

d
0.1x + 16

Answers

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Perimeter = Sum of the sides

Thus ;

[tex]Perimeter = (0.5x + 9) + ( 3x) + ( - 3.4x - 25) \\ [/tex]

[tex]Perimeter = - 3.4x + 3x + 0.5x - 25 + 9 \\ [/tex]

Collect like terms

[tex]Perimeter = 0.1x - 16[/tex]

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Thus the correct answer is (( c )) .

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Answer:

perimeter = A + B + C

perimeter = 0.5x + 9 + 3x + (-3.4x - 25)

perimeter = 0.5x + 3x -3.4x + 9 - 25

perimeter = 3.5x - 3.4x + 9 - 25

perimeter = 0.1x + 9 - 25

perimeter = 0.1x - 16

A relation is
i don't know this answer somebody please help

Answers

it is a factory that links two thing together

Answer:

A relation between two sets is a collection of ordered pairs containing one object from each set.

first to answer correctly gets brainleist

Answers

Answer:

B is the answer

Step-by-step explanation:

Trey deposits $8000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 4 years
6

Answers

Answer:

1600

Step-by-step explanation:

You want to calculate the interest on $8000 at 5% interest per year after 4 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $8000.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 4....year(s) time periods.

So, t is 4....year time periods.

To find the simple interest, we multiply 8000 × 0.05 × 4 to get that:

The interest is: $1600.00

Usually now, the interest is added onto the principal to figure some new amount after 4 year(s),

or 8000.00 + 1600.00 = 9600.00. For example:

If you borrowed the $8000.00, you would now owe $9600.00

If you loaned someone $8000.00, you would now be due $9600.00

If owned something, like a $8000.00 bond, it would be worth $9600.00 now.

how do you find the hypotenuse

Answers

Given two right triangle legs
Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares:
c = √(a² + b²)

In the graph shows Nick’s Bike ride from home to his grandparents and then returning home. Which intervals show Nick’s distance from home increasing?

A). Interval A and B
B).interval D and F
C).interval C and E
D).interval A,B,C and E

Answers

Option A is the correct answer; i.e. interval A and B.

What is Distance?

The distance between two points is the length of the path connecting them.

Here, from the given graph, we can conclude that

A and B show the distance Increasing, the line is going up so as time has passed he is getting far to his house. Continuously 1 hour 45 mins he increases hi distance without staying anywhere.

Thus, Option A is the correct answer; i.e. interval A and B.

Learn more about Distance from:

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Answer:

Interval C and E are constant

Step-by-step explanation:

A function is constant if as x increases ( from left to right), y stays the same.

37.5 to the nearest degree

Answers

Answer:

38 degrees

Step-by-step explanation:

if it is half a tenth or more, it gets rounded up to the next degree

Answer:

38

Step-by-step explanation:

i don’t feel like doing this so please help

Answers

The answer to this is 89%
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