Regan cycles 78 miles in 6 hours.
His average speed for the first 30 miles is 15 mph.

Work out Regan's average speed for the last 48 miles.

Answers

Answer 1

Answer:

12 mph

Step-by-step explanation:

First 30 miles while cycling at 15 mph. This means he spent 2 hours here.

Thus the 4 hours on the last 48 miles.

Average speed  =  distance / time

Average speed = 48 miles / 4 hours

Average speed = 12 mph

Therefore Regan's average speed is 12 mph for the last 48 miles.


Related Questions

which is the closest to the height of the ball

Answers

Answer:

C

Step-by-step explanation:

substitute 2.1 for 't' in the given equation

h = 113.391

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

Answers

Answer:

D

Step-by-step explanation:

A function means that each input value (in this case, x) has only one output value (y). The vertical line test states that if a vertical line intersects with the relation more than once, it is not a function. Therefore, as a vertical line at x=0 intersects with the graph twice, the graph fails the vertical line test

Samantha has $35 in her savings account. At the end of each week, she will add $20 to the account. Which equation describes the total "S", in dollars, that Samantha will have in her account at the end of the week? * 1 point S = 15w S= 55w S = 20 + 35w S = 35 + 20w

Answers

Answer:

S = 35 + 20w

Step-by-step explanation:

Amount Samantha has in her account = $35

Additional savings per week = $20

Let

S =Totai savings in Samantha's account at the end of the week

w = number of weeks

The equation:

Totai savings in Samantha's account at the end of the week = Amount Samantha has in her account + (Additional savings per week * number of weeks)

S = 35 + 20w

Answer:

s=35+20w

Step-by-step explanation:

find the value of x.

a) 1.1
b) 5.5
c) 6.6
d) 8.8

Answers

Answer:

8.8 =x

Step-by-step explanation:

We know x is the median so

(5.5+12.1) /2 = x

17.6/2 =x

8.8 =x

8.8 is the value of x

NOW ASAP NEED FAST ANSWERRRRRRRRRRRRRRRRRRR

Answers

Answer:

C.

Step-by-step explanation:

Dis means apart and junc means join so disjunction means the "state of being disconnected".

Help please! Need this answered quick!

Answers

Answer:

3.6

Step-by-step explanation:

the ratio of AB to AD is 3/5 so the ratio of BC to DE is also 3/5, therefore BC=3/5 DE= (3/5)6= 3.6

On the grid, sketch a graph to represent
Sandy's walk to school based on the
description below.
Sandy lives 200 m from school. One
morning she leaves for school at a
slow pace. On the way she meets a
friend and stops to talk för 10
minutes. Sandy realizes that she
forgot her homework and runs back
home to pick it up. It takes five
minutes to get home. Immediately she
heads back to school at a fast pace.

Answers

Answer:

Please find attached, the required graph created on MS Excel

Step-by-step explanation:

The distance between Sandy's house and the school = 200 m

The number of minutes Sandy talked to her friend for = 10 minutes

The time it took Sandy to return home to pick her homework = 5 minutes

Let x represent Sandy's location she stops to talk to her friend 10 minutes, we have;

The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)

The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)

Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂

Therefore, where x = 125, we have;

The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min

Given that the same rate m₂ is what she used in heading back to school, we have;

The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes

Therefore, whereby it took her 10 minutes to reach point x, we have the following coordinate points on the graph in a tabular form;

[tex]\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}[/tex]

The plot of the above point is completed using MS Excel as shown in the attached diagram.

show that x^2-y^2= (x+y)(x-y) with venn diagram ​

Answers

Answer:

[tex] \sqrt[]{ \frac{0}{0} } [/tex]

Explainion are shown in pictures above

Find the volume of the prism. 3m 5m 36m

Answers

Answer:

540m^3

Step-by-step explanation:

There are many kinds of prisms, if you were asking for a rectangular prism, then we do 3 * 5 * 36 = 540m^3.

Answer:

the answer is 540

Step-by-step explanation:

because 3x5x36=540

HELP ME PLS I NEEDA GET THIS RIGHT PLS PLS ITS PYTHAGOREAN THEOREM

Answers

2.8 mm

2mm^2=4mm

4mm+4mm = 8mm

square root of 8mm is 2sqrt2

2sqrt 2 is 2.8 mm

Graph the line that has a slope of -7/4 and includes the point (0,10).

Answers

Answer:

y=-7/4x +10

Step-by-step explanation:

that the graph, you can plug the equation in desmos,

hope it helps! :)

Kendra is also buying souvenirs for the family reunion. She wants to spend under $2.25 for each item. Which souvenirs cost less than $2.25 per item?

Answers

Answer:

Tote bag ; Picture Frame ; Mug

Step-by-step explanation:

Given the following souvenir list :

tote bags: 25 for $49.00

picture frames: 15 for $32.25

water bottles: 12 for $27.60

mugs: 8 for $15.92

T-shirts: 10 for $25.00

To determine the cost per item in the sourvenir :

Divide the cost of sourvenir by the number of items in each sourvenir ;

Tote bag = $49.00 / 25 = $1.96

picture frames = $32.25 / 15 = $2.15

water bottles = $27.60 / 12 = $2.30

mugs = $15.92 / 8 = $1.99

T-shirts = $25.00 / 10 = $2.50

Hence, souvenirs which costs less than 2.25 per item are :

Tote bag ; Picture Frame ; Mug

Which lists all of the shapes that are in a two-dimensional net of a square pyramid? 6 squares 4 triangles 1 square and 3 triangles 1 square and 4 triangles

Answers

Answer:

4 triangles and 1 square

Step-by-step explanation:

Required

The shapes in two-dimensional net of a square pyramid

To do this, I will attach an attachment of a 2D net of a square pyramid (see attachment)

From the attachment, we can see that:

The 2d shape of the pyramid is made of 4 triangles and 1 square

Answer:

D

Step-by-step explanation:

In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
2bx – bx = -8

Answers

Answer:

x = -8/b

Step-by-step explanation:

2bx – bx = -8

Combine like terms

bx = -8

Divide by b

bx/b = -8/b

x = -8/b

Area of parallelogram!!

Answers

Answer:

3.375 cm^2

Step-by-step explanation:

The area of a parallelogram is given by

A = bh  where b is the base and h is the height

A = 2.25 * 1.5

A =3.375 cm^2

Area = length x height

Area = 2.25 x 1.5

Area = 3.375 cm^2

c) Workout using factorization. Show all your working. 9.9²- 0.1²​

Answers

Answer:

98

Step-by-step explanation:

1) You shulduse the formula x^2-y^2= (x-y)(x+y)

That obvious, that 9.9 is considered as x, and 0.1 as y

2) So  9.9²- 0.1²​= (9.9-0.1) * (9.9+0.1)=9.8*10=98

what is the length of each leg in the right triangle shown below

Answers

Answer:

brah, where's the triangle

Step-by-step explanation:

looooooooooooooooooooooooooool

Write an inequality that represents the set of all numbers shown on the number line

-8 and -1

Answers

Answer:

-8 is less than -1

Step-by-step explanation:

If you look at a number line

-8 -7 -6 -5 -4 -3 -2 -1 0

Which one is closest to 0. -1, therefore it is greater

The set of all numbers shown on the number line 8 < -1.

What is a number line?

A number line is a horizontal line that has numbers in equal intervals. The numbers included on the line can be negative or positive taking zero as a reference point at the center called the origin.

The horizontal straight lines in which the integers are placed in equal intervals increase as we go right. The horizontal straight lines in which the integers are placed in equal intervals decreases as we go left.

A number line can be described as an instant line with numbers positioned at identical intervals or segments alongside its period. a variety of lines may be extended infinitely in any route and is commonly represented horizontally.

Learn more about the number line here:-https://brainly.com/question/24644930

#SPJ2

Find the ordered pair $(s,t)$ that satisfies the system
\begin{align*}
\dfrac{s}{2} + 5t &= 3,\\
3t - 6s &= 9.
\end{align*}

Answers

Answer:

[tex]\left(\dfrac{8}{7} , \ \dfrac{17}{35} \right)[/tex]

Step-by-step explanation:

The given system of equations is presented as follows;

[tex]\dfrac{s}{2} + 5 \cdot t = 3[/tex]

3·t - 6·s = 9

Making t the subject of both equations, gives;

In the first equation; t = (3 - s/2)/5

In the second equation; t = (9 + 6·s)/3

Equating both values of t to find the the values that satisfies both equations, gives;

(3 - s/2)/5 = (9 + 6·s)/3

3 × (3 - s/2) = 5 × (9 + 6·s)

9 - (3/2)·s = 45 + 30·s

45 - 9 = (30 + (3/2))·s

36 = (63/2)·s

s = 36/(63/2) = 8/7

t = (3 - s/2)/5

∴ t = (3 - (8/7)/2)/5 = 17/35

Therefore, the ordered pair is (8/7, 17/35)

please help me with this question

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The usual glide slope for landing is about 3°. The descent rate here of 0.25 km/min corresponds to 15 km/h. For the slope to be 3°, the forward speed of the airplane would need to be 286 km/h, about 154 knots.

This is not unreasonable for an approach speed for a (very) heavy airplane. Usually, the rate would be a little lower, but we wanted something that would fit on the grid provided.

State the degree of each of the following and identify it as a linear or non-linear relation.
a. y = x2 + 2x + 1 b. 3x + 3y = 6

Answers

Answer:

a) Degree of 2; non-linear

b) Degree of 1; linear

Step-by-step explanation:

a) The degree is the highest power of the variable in the given equation:

Given  y = x^2 + 2x + 1

From the given equation, we can see that the highest power of x is 2. Hence the degree of the equation is 2.

Any equation with degrees of 2 and above is a non-linear equation. Hence the equation is a non-linear equation

b) For the equation 3x + 3y = 6

Divide through by 3

x + y = 2

From the given equation, we can see that the highest power of x and y is 1. Hence the degree of the equation is 1.

Any equation with a degree of 1 is a linear equation. Hence the equation is a linear equation

Identify the sequence that lists the sides of △MNO in order from shortest to longest.

Answers

Answer:

MO, NO, MN

Step-by-step explanation:

First, we can identify this triangle as a right triangle, as given by the square next to the O. Next, we know that a right angle is equal to 90 degrees, and the sum of the angles of a triangle is equal to 180 degrees.

Therefore,

∠M + ∠O + ∠N (the angles of the triangle) = 180

49 + 90 + ∠N = 180

139 + ∠N = 180

subtract both sides by 139 to isolate the variable

∠N = 41

Therefore, ∠N is 41 degrees.

In a triangle, given the angles, we know that the side opposite the smallest angle is the side with the smallest length and so on.

Our angle lengths are

41, 49, and 90 degrees in order.

Therefore, the side opposite the largest angle (90 degrees, or ∠O) is the longest side. This is MN. Similarly, ∠N is the smallest angle, and the side opposite of that (MO) is the shortest side. This leaves NO to be in the middle

Monica hiked west from her campsite for 24 miles and then hiked north for 7 miles, as shown in the diagram.



What is the shortest distance Monica can hike to return to the campsite?





A. 25 miles
A. 25 miles,

B. 17 miles
B. , , 17 miles, , ,

C. 31 miles
C. , , 31 miles, , , ,

D. 41 miles

Answers

Answer: A. 25 miles

Step-by-step explanation: I used Pythagorean’s Theorem.

Identify a positive coterminal angle for the angle shown below. You must answer in radians.

Answers

add 2pi to get coterminals:) so the answer would be 8pi/3 since you have to make sure the two fractions have common denominators (2pi/3 + 6pi/3)

HIIII!!!!! I NEED HELP!

Answers

Answer:

16⅜ cups

Step-by-step explanation:

Start by getting the same denominator on both fractions and by eliminating the mixed fraction. So our problem is:

15¾ cups + ⅝ cups = ?

15¾ = 63/4 = 126/8

126/8 + ⅝ = 131/8 = 16⅜

The price of an item yesterday was 120 . Today, the price fell to 78 . Find the percentage decrease.

Answers

Answer:

65%

Step-by-step explanation:

120 * x = 78

78/120 = x

.65 = x

Answer:

35%

Step-by-step explanation:

First, set up the equation.

[tex]\frac{78-120}{120} *100=[/tex] %

Then solve.

78-120 is -42.

Divide by 120. -0.35.

Multiply by 100. -35.

The negative sign means that it is decreasing, so you can take it away.

I hope this helps!

PLEASE HELP ME ASAP!!!

Answers

Answer:

5.30

Step-by-step explanation:

Total cost = flat fee + cost per mile * number of miles

              c(m)  = 3.50 + .60m

Let m=3

c(3)  = 3.50 + .60(3)

    = 3.50 + 1.80

    =5.30

Answer:

B: $5.30

Step-by-step explanation:

Each mile is $0.6, to get the result for 3 miles we would need to multiply $0.6 by 3. $0.60 * 3 = $1.8. Finally we would need to add the 3.50 to $1.8 resulting in $5.30

what is the value for f(x)4^2x -100 when x=2 ?

(the ^2x is a exponent)

Answers

Answer:

156

Step-by-step explanation:

f(x)= 4^(2x) -100

Let x =2

f(2)= 4^(2*2) -100

   = 4^4 - 100

   = 256 -100

   = 156

In 4 years Craston's age will be the same as Terrins age is now. In 2 years, Terrin will be twice as old as craston. Find their ages now

Answers

Answer:2 and 6

Step-by-step explanation:

Given

In 4 years Craston's age will be the same as Terrins age is now

Suppose the present of Craston's and Terrins are [tex]x[/tex] and [tex]y[/tex] respectively

According to the question

[tex]\Rightarrow x+4=y\\\Rightarrow y-x=4\quad \ldots(i)[/tex]

In 2 years Terrin will be twice as old  as craston

[tex]\Rightarrow (y+2)=2(x+2)\\\Rightarrow y-2x=4-2\\\Rightarrow y-2x=2\quad \ldots(ii)\\[/tex]

Solving (i) and (ii) we get

[tex]x=2,y=6[/tex]

Thus, the present age of Craston and Terrins are [tex]2[/tex] and [tex]6[/tex]

Two high school basketball players each played 5 games. Their stats are summarized below:

Player A: Stats on 5 games → mean points scored = 25, standard deviation = 4
Player B: Scored 23, 27, 28, 22, 25 points on 5 consecutive games

Suppose a university basketball scout (a person who finds new players for a university's team) is deciding which player to recruit. Who should they choose? Justify your response. [3 marks]

HINT: Compare mean and variance of each player.

Answers

Answer:

Player B.

Step-by-step explanation:

Player A has a mean score of 25.

Let's calculate Player B's mean score and compare it to Player A's.

23 + 27 + 28 + 22 + 25 / 5 = 125 / 5 = 25.

So, Player A and Player B have the same mean score.

This doesn't tell the scout which player is "better", so let's look at the variance.

The other statistic given for Player A is the standard deviation for their points. The given number is 4. Let’s calculate the standard deviation for Player B, and compare it to player A.

Recall that we add up the squares of the difference between each score and the mean, divide it by the total number of data, and square root that. So, the standard deviation for player B is sqrt(2^2 + 2^2 + 3^2 + 3^2 + 0^2 / 5) = sqrt (26/5) = sqrt (5.2) = 2.3.

Excellent. We have player A’s standard deviation, as well as player B’s standard of deviation. Since player B’s standard deviation is less than player A’s, it can be inferred that player B has more consistent results than player A, and the scout should get Player B.

Hope this helps!

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