A person hikes 4 miles in 2.5 hours. Find the unit rate in miles per hour.

Answers

Answer 1

Answer:

60 miles per hour

Since d=rt, r = d/t = 420 miles/7 hours = 60 miles per hour

Step-by-step explanation:

Answer:

1.6 miles per hour

Step-by-step explanation:

Step one:

The unit rate is the number of miles in 1 hour

given

distance= 4 miles

time= 2.5 hours

so if he hike 4 miles in 2.5 hours

then he will hike      x mile in 1 hour

cross multiply we have

x=4/2.5

x=1.6 miles per hours

Therefore the unit rate is 1.6 miles per hour

Answer 2

Answer: 60 miles per hour

Step-by-step explanation:

I will explain more

In the comments


Related Questions

What is easier math or reading? Explain why.




Also be serious when answering

Answers

Answer:

That is an opinion. Some find math easier and some find reading easier. There is no right or wrong answer to that.

Step-by-step explanation:

Answer:

reading  is easier  than math because math has to do with numbers and there are so many diffrent ways to do math and so may diffrent formals to us for math  there for reading is easier than math

Step-by-step explanation:

Stacy made 3 of her car payments late and was fined 3 late fees. The total change to her savings from late fees was - $24. How much was each late fee?​

Answers

Answer:

$8

Step-by-step explanation:

I got my answer of $8 because I knew that the total amount of money she was charged for late fees was $24, and she was charged for 3 late fees. Then, I did $24 divided by 3 late fees and got $8 per late fee as my answer.

24 divided by 3 equals 8.

help plz due rnnnnnnnn

Answers

Answer:

I would help if I could see the question

Step-by-step explanation:

Hope u figure it out : D

Answer:

No solution

Step-by-step explanation:

The quadratic formula is

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$.[/tex]

where a is the coefficient of x squared, b is the coefficient of x, and c is a regular number.

Here, we have

a = 1

b = 7

c = 16

Plugging in values, we have

[tex]\frac{-7 +\sqrt{49 - 4(1)(16)}}{2(1)}[/tex]

and

[tex]\frac{-7 -\sqrt{49 - 4(1)(16)}}{2(1)}[/tex]

The first equation solves to an i term, so there is no way that there is an answer.

The second equation is also an i term, meaning there are no solutions to this equation

2. There are 35 men and 50 women running a race. What is the ratio of the number of female runners to the total number of runners? Answer:____________________________________

Answers

Answer:

10 : 17

Step-by-step explanation:

Male runners = 35

Female runners = 50

Total runners = male runners + female runners

= 35 + 50

= 85 runners

What is the ratio of the number of female runners to the total number of runners?

Ratio of the number of female runners to the total number of runners = number of female runners : total runners

= 50 : 85

= 50 / 85

= 10/17

= 10 : 17

Ratio of the number of female runners to the total number of runners = 10 : 17

The point (-3, 2) lines on a circle whose equation is (x + 3)2 + ( + 1)2 = r2. Which of
the following must be the radius of the circle?

Answers

Answer:

3 units

Step-by-step explanation:

Equation of the circle is:

[tex] (x+3)^2 +(y+1)^2=r^2 [/tex]

[tex] \therefore [x-(-3)] ^2 +[(y-(-1)] ^2=r^2 [/tex]

Equating it with

[tex] (x-h)^2 +(y-k)^2=r^2 [/tex]

We find: h = - 3 & k = - 1

Center of the circle (C) = (-3, - 1)

Since, the point (-3, 2) lies on the circle, therefore radius of the circle wii be equal to the distance between the center of the circle (-3, - 1) and the point (-3, 2) which is on the circle.

Therefore,

[tex] r = \sqrt{[-3-(-3)]^2 +[2-(-1)]^2} [/tex]

[tex] r = \sqrt{[-3+3]^2 +[2+1]^2} [/tex]

[tex] r = \sqrt{[0]^2 +[3]^2} [/tex]

[tex] r = \sqrt{0 +9} [/tex]

[tex] r = \sqrt{9} [/tex]

[tex] r = 3\: units [/tex]



A tv costs £900. Work out the price after a 3% price increase.

Answers

Answer:

$975

Step-by-step explanation:

Ok 900 * .03  is 27

27+ 900 is 927

$927

Step-by-step explanation:

a tv=900

100+3=103

103×900=92700

92700÷100

=927

What fact will help you to find the measure of angles B and C in the diagram shown?
A) An equilateral triangle has 3 congruent angles.
B)
The height of an isosceles triangle bisects the base.

C) The base angles of an isosceles triangle are congruent.
D)
The midsegment of an isosceles triangle is parallel to the base

Answers

Answer:

The Answer is C

Step-by-step explanation:

Look at B and C you can see that they have a line on each angle. Also, know that isosceles have two congruent sides. So when looking at this triangle we can infer that C is our best bet.

Maria is in charge of making punch for the party she adds two quarts of water to 1 quart of orange juice and 2 quarts of mango juice then she adds one quart of crushed strawberry juice and 2 quarts of pineapple juice to the mixture how many quarts of punch does Maria make?

Answers

Answer:

8 quarts

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Water = 2 quarts

Orange Juice = 1quarts

Mango Juice = 2 quarts

Strawberry juice = 1 quart

Pineapple Juice = 2 quarts

So, Total mixture = Sum of all ingredients in quarts

= 2 + 1 + 2 + 1 + 2 = 8 quarts

Hence, Maria makes 8 quarts of punch.

find the distance between M (-1,-1 ) and H (1,-2)

Answers

Answer:

sqrt(5)

Step-by-step explanation:

I hope this helps

In the graph shown below, if lines land 12 are parallel, then the slope of line 12 is

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

The slope of L1 is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (5 -1)/(-2 -(-3)) = 4/1 = 4

The slope of L2 is the same as the slope of L1. The slope is 4.

I need help to solve

Answers

Answer:

a = 30°

b = 11°

Step-by-step explanation:

JK = 360 - 110 - 130 - 54 = 66°

Inscribed angles = 1/2 their arc

∠K = 1/2(130 + 54) = 92°

∠J = 1/2(110 + 130) = 120°

∠M = 1/2(66 + 110) = 88°

8b = 88°

b = 11°

∠L = 1/2(54 + 66) = 60°

2a = 60°

a = 30°

Definitely could use some help. Would also be really appreciated if someone gave a breakdown of how they solved it. Thank you!!!

Answers

The rest of the side where the 8 is would 20 (28-8)

Set up proportions:

8/10 = 20/3x-5

Cross multiply

200 = 24x-40

Add 40 to both sides

240 = 24x

Divide both sides by 24

X = 10

Solve for the equation: 3x-5 = 3(10)-5 = 30-5 = 25

QUICK GIVING BRAINLIEST TO THE CORRECT ANSWER

Answers

0.91 as a percent is 91%

Answer:

91%

Step-by-step explanation:

0.91 = 91/100 = 91%

Subtract one-third from 8 times b

Answers

i think the answer is 1/3 from 8x 6 =-46.7 i think

Please help me asap. No links or I will report you
8th Grade

Answers

Answer:

D. square root of 7 to the power of 3

R. b=6/8

The following table represents the total cost, in dollars (y) to join a gym for x number of months. The cost includes a one-time joining fee of 10$. Does the data in the table represent a proportional relationship? How do you know?

Answers

Answer:

The table does not represent a proportional relationship because the ratio of the y-values to the corresponding x-value at each data point is not constant

y/x ≠ Constant

Step-by-step explanation:

The table of values for the total cost in dollars (y) to join a gym for "x" number of months is presented as follows;

x; 1, 2, 3, 4, 5

y; 25, 40, 55, 70, 85

The rate of change of the data in the table is given by the following formula;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Between the 1st and the 3rd point, we have;

m = (55 - 25)/(3 - 1) = 15

Between the 1st and the 5th point, we have;

m = (85 - 25)/(5 - 1) = 15

Therefore, the rate of change of the y values  per unit change of the x-value is 15

Therefore, the "x" and y-values have a linear relationship

However, for a proportional relationship, we have;

y/x = Constant

At the 1st point, we have;

25/1 = 25

At the 3rd point, we have;

55/3 = 18.[tex]\overline 3[/tex]

∴ y/x is not constant and the the data in the table does not represent a proportional relationship.

Calculate the area of this trapezium.
6 cm
5 cm
4 cm
8 cm​

Answers

Answer:

6cm is the correct answer

PLEASE HELP WILL MAKE BRAIN IF YOU HELP!​

Answers

Answer:

60

Step-by-step explanation:

The sum of two interior angles in a triangles is equal to one exterior angle that is supplementary to the third interior angle

3x+4x = 10x - 45

7x = 10x - 45 transfer 45 to the other side of equation and subtract 7x from 10 10

45 = 10x - 7x

45 = 3x divide both sides by 3

15 = x angle B is 4*15 = 60

A trampoline was originally priced at $100 but went on sale for 60% off. If Emmett bought the trampoline and paid 5% sales tax, how much did he pay in total? $

Answers

Answer: $42

Step-by-step explanation:

Since the trampoline was originally priced at $100 but went on sale for 60%, the price paid will be:

= $100 - (60% × $100)

= $100 - (0.6 × $100)

= $100 - $60

= $40

Emmett bought the trampoline and then paid 5% sales tax, the total amount paid will be:

= $40 + (5% × $40)

= $40 + (0.05 × $40)

= $40 + $2.

= $42

She paid $42 in total.

Student A starts with $100 in the bank and makes $5 a day. Student B starts with $50 and makes $7 a day. Assuming the students save their money, when will they have the same amount of money ?

Answers

Answer:

No. They will not have the same amount of money.

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.875/100

r = 0.03875 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,000.00(1 + 0.03875/12)(12)(7.5)

A = 10,000.00(1 + 0.003229167)(90)

A = $13,366.37

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,000.00 at a rate of 3.875% per year compounded 12 times per year over 7.5 years is $13,366.37. Therefore, they cannnot save the same amount.

A gate is made up of a rectangle and a semicircle, as shown. Find the area of the gate. 6 ft Show your work. K к 8 ft Solution:​

Answers

Answer:

73.12 ft²

Step-by-step explanation:

area = (8 x 6) + [(1/2)(3.14)(4²)] = 73.12 ft²

Please help its due soon ill give brainlest

Answers

Answer:

r ≈ 7.80 yd

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

Here C = 49 , then

2πr = 49 ( divide both sides by 2π )

r = [tex]\frac{49}{2\pi }[/tex] ≈ 7.80 yd ( to the nearest hundredth )

Help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help. Help me please

Answers

Answer:

12,300

Step-by-step explanation:

I'll right this as a function to make it easier on me.

f(x) = 7500(1 + 0.8)^x

f(2) = 7500(1 + 0.8)^2

f(2) = 7500(1 + 0.64)

f(2) = 7500(1.64)

f(2) = 12300

Answer:

$8700

Step-by-step explanation:

0.08 x 2 yrs = 0.16

7500 x 0.16 =1200

7500 + 1200 = 8700

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x = 54

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 36 + 90 = 180

x + 126 = 180

x = 180 - 126

x = 54

Your pay rate is $20 per hour and you have a weekly pay period. You have worked overtime and accumulated 50 hours for the week. You get paid time and a half for overtime hours. Calculate your gross pay. *

Answers

Answer:

$1200 gross pay

Step-by-step explanation:

if you worked 40 hours normally and had 10 hours over time, that equation for the gross pay would be X = 20(40) + 30(10)

X = 20(40) + 30(10)

X = 800 + 300

X = 1200

what is the soultion to the equation 4/6 x — 1/2x = 3/10(x + 4)

Answers

X = -9 I did this by simplifying both sides of the equation then isolating the variable hope this helps!!!

For which value of p and q does the following pair of linear equations have an infinite
number of solutions?

2x + 3y = 7

( p-q ) x + (p+q) y = 3 p + q -2

Answers

Answer:

[tex]p =2.5[/tex]

[tex]q = 0.5[/tex]

Step-by-step explanation:

Given

[tex]2x + 3y = 7[/tex]

[tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]

Required

Find p and q

To do this, we make direct comparison between the given expressions.

[tex]2x + 3y = 7[/tex] and [tex]( p-q ) x + (p+q) y = 3 p + q -2[/tex]

This implies that:

[tex](p - q)x = 2x[/tex]

[tex](p+q)y = 3y[/tex]

[tex]3(p + q) - 2 = 7[/tex]

So, we have:

[tex]p - q = 2[/tex] --- (1)

[tex]p+q =3[/tex] -- (2)

[tex]3(p + q) - 2 = 7[/tex] --- (3)

If [tex](1)\ and\ (2)[/tex] are true, then [tex](3)\ must[/tex] be true.

So, we only solve [tex](1)\ and\ (2)[/tex]

Add (1) and (2) to eliminate q

[tex]p+p-q+q=2+3[/tex]

[tex]2p=5[/tex]

Solve for p

[tex]p = 5/2[/tex]

[tex]p =2.5[/tex]

Substitute [tex]p =2.5[/tex] in (2)

[tex]p+q =3[/tex]

[tex]q = 3 - p[/tex]

[tex]q = 3 - 2.5[/tex]

[tex]q = 0.5[/tex]

PLZ HELP
i’ll give brainliest

Answers

Answer:

The correct answer is -29/3

Answer to ur problem V= -29/3

I'm not 100% sure on how to figure out this equation, can can anyone help out?

Answers

Answer:

Aonnalin, great name  :)  answer as below

Step-by-step explanation:

They tell us to use slope-intercept form.   This is something you will just have to remember  y = mx+b    

It is confusing b/c there is the other one, the point-slope formula too.  but just remember both and know that the point-slope one is to get to the slope-intercept one.    y-y1 = m(x-x1)  

m= slope

m = (y2-y1) / (x2-x1)

P1= (0,7)  in the form (x1,y1)

P2 =(8,-2) in the form (x2,y2)

m = -2-7 / 8-0

m = -9 / 8

now that we have the slope, just use either point with the point-slope

y-7 = (-9/8)(x-0)

y-7 = -9x/8

y = -9x/8 + 7

y = [tex]\frac{-9}{8}[/tex] X + 7

slope-intercept form  :)

can one of yall solve the problem above ?

Answers

Answer:

C

Step-by-step explanation:

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