Solve the following problem then write your answer before the number.
1.)Rizza started cycling at 7:15 a.m. By 7:35 a.m,she had covered a distance of 9km.Find his average speed in km/h.
2.)A car left Barretto at 10:50 a.m and reached Pampanga at 2:20 p.m.its average speed was 84 km/h.Find the distance between Barretto and Pampanga.
3.)Aaron travalled 210 km at a uniform speed of 60 km/h.How long was his travel?​

Answers

Answer 1

Answer:

1) Rizza's average speed is 27 km/h.

2) The distance between Barretto and Pampanga is 294 km.

3) Aaron's journey was 3.5 hours long.

Step-by-step explanation:

1) Time taken to cove the distance = 20 minutes

60 minutes = 1 hour

So that, 20 minutes = [tex]\frac{20}{60}[/tex] hours

                                 = [tex]\frac{1}{3}[/tex] hours

Distance covered = 9 km

But,

speed = [tex]\frac{distance covered}{time taken}[/tex]

Rizza's average speed = 9 ÷ [tex]\frac{1}{3}[/tex]

                                       = 9 x 3

                                       = 27 km/h

Rizza's average speed is 27 km/h.

2) Time taken = 3.5 h

the car's average speed = 84 km/h

Distance between Barretto and Pampanga = average speed x time taken

                                           = 84 km/h x 3.5 h

                                           = 294 km

The distance between Baretto and Pampanga is 294 km.

3) The uniform speed implies that Aaron did not accelerate during his journey.

Distance covered = 210 km

uniform speed = 60 km/h

time taken = [tex]\frac{distance covered}{speed}[/tex]

                   = [tex]\frac{210}{60}[/tex]

                   = 3.5 hours

Aaron's journey was 3.5 hours long.


Related Questions

Find the Surface Area
of the Triangular
Prism Net

Each mark represents 1
centimeter.

PLS HELP!! WILL MARK AS BRAINLYIST!!!

Answers

Answer:

119 sq cm

Step-by-step explanation:

(5 * 8) + (4 * 8 * 2) + (5 * 3)

Answer:

116

Step-by-step explanation:

4×3=12

8×5=40

4×8×2=64

12+40+64=116

Find the difference: (6a + 6) - (3x - 2) - (2a + 4)

Answers

Answer:

4 a − 3 x + 4

Step-by-step explanation:

I just simplified everything together to get this answer.

Hope that this helped! :)

Have a great rest of your day/night!

Please thank me on my profile if this answer has helped you!

A square has an area of 100 square meters.
What is the perimeter of the square?

Answers

Answer:

40 square meters

Step-by-step explanation:

Perimeter means to add up all sides.

area means one side times one side

10 times 10 makes 100 so i am guessing each side is 10

10 + 10 + 10 + 10 = 40

What are the outliers???

Answers

There’s no image to show the outliers

The area of parallelogram WXYZ is approximately 45 square units.

Parallelogram W X Y Z is shown. Sides W Z and X Y are congruent. The lengths of sides W X and Z Y are 10 units. Angle W Z Y is 115 degrees.

Trigonometric area formula: Area = One-half a b sine (C)

What is the approximate perimeter of the parallelogram?

5 units
15 units
30 units
40 units

Answers

Answer:

30 units!

Step-by-step explanation:

Edge 2020, I got a 100% on the test

Answer:

30 units

Step-by-step explanation:

muah good luck guys!

What is the first step to figure out the solutions for x in the following equation?
|x - 3| +2=6

Answers

Subtract 2 form both sides

Auntie Sammy buys a hand bag. There was a discount
of 20%.
If Auntie Sammy paid $245, what was the original price?

Answers

Answer:

Step-by-step explanation:

I think the original proce would be  $265

1. Subtract the percentage discount from 100

100 - 20= 80

2. Multiply the final price($245) by 100

245 × 100= 24,500

3. Divide the answer in step 2 by the answer in Step 1

24,500 ÷ 80= $306.25

answer is $306.25

How to check to ensure your answer is correct:

1. Multiply the "answer" by the discount price divided by 100. This will give the discount percentage in dollars.

$306.25 × 0.2( which is 20÷100)= $61.25(discount in dollars)

2. Subtract the discount in dollars from the "answer"

$306.25 - $61.25= $245(final price is the same as in the problem so it is correct)

OR

1. Multiply the original price by the number you get from step 1 in your problem divided by 100

$306.25 × 0.8(80 from the very first step divided by 100)= $245(the final price is the same given in the question)

Please give a logical reason to support this statement:

Modern technology helps businesses grow and increase its productivity.

I will give branliest, i just need this asap (yall can give me more than one answer aight)

Answers

Answer:

Modern technology allows businesses to create products and conduct their services at a faster rate and for a lower price. Because modern technology helps people to complete tasks at a faster rate, less people are needed, less mistakes occur, and more money can be earned.

Step-by-step explanation:

Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its present resale value is $420,000. Assuming that the machine's resale value decreases exponentially, what will it be (in dollars) 4 years from now? (Round your answer to the nearest dollar.)

Answers

Answer:

260,000

Step-by-step explanation:

The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000

So, the value should be 260,000 (500000-240000)

Or

year 1 500000-40000=460000

year 2 460000-40000=420000

year 3 420000-40000=380000

year 4 380000-40000=340000

year 5 340000-40000=300000

year 6 300000-40000=260000

The machine's resale value Garland Mills purchased in 4 years from now will be; $353,049

What is the future value amount?

We are told that the machines present resale value is $420000. Now formula for future value is;

Future value = present value * exp(cx)

Thus;

$420,000 = $500,000 * exp(2c)

420000/500000 = exp(4c)

2c = In(420000/500000)

c = -0.087

Future value = present value * exp(cx)

Future value = $500,000 * exp(-0.087 * 4)

Future value = $353,049

Therefore, the machine's resale value in 4 years from now will be  $353,049

Read more about future value amount at; https://brainly.com/question/13961729

you decide to go to a star gazing event there are 12 people in the group

Answers

Answer:

whts the question??

Step-by-step explanation:

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x^2-8x-3

Answers

Answer:

x = 1 and vertex = (1, - 7 )

Step-by-step explanation:

Given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 )

The the equation of the axis of symmetry which is also the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 4x² - 8x - 3 ← is in standard form

with a = 4, b = - 8 , then

x = - [tex]\frac{-8}{8}[/tex] = 1

That is equation of axis of symmetry is x = 1

Substitute x = 1 into the function for y- coordinate of vertex

y = 4(1)² - 8(1) - 3 = 4 - 8 - 3 = - 7

vertex = (1, - 7 )

Find the surface area of the prism.can someone help fast , I can’t get this

Answers

Answer:

surface area = 84 cm^2

Pls help, I'll give brainlest

Answers

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When multiplying exponents, you would add the degrees.

A, B, and D's degrees add up to [tex]5^{-2}[/tex] , which is equal to 1/25.

C adds up to [tex]5^{2}[/tex], which is 25, therefore making it C

A bowl contains 10 red balls and 10 blue balls.A woman selects balls at random without looking at them. How many balls must she select to be sure of having at least three balls of the same color?

Answers

Answer:

5 balls

Step-by-step explanation:

Sorry if it's wrong.

What is the opposite of - 1/4 ?

Answers

Answer:

1/4

Step-by-step explanation:

solve (x – 5)^2 = 17

Answers

Answer:

x = 5 ± √17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsMultiple Roots

Step-by-step explanation:

Step 1: Define

(x - 5)² = 17

Step 2: Solve for x

[Equality Property] Square root both sides:                                                    x - 5 = ±√17[Addition Property of Equality] Add 5 on both sides:                                    x = 5 ± √17

I need help I forgot how to do this helppppppppppp!!!!!!!!!!!

Answers

Answer:

it's a trapezoid

Step-by-step explanation:

((major base + minor base) x height) / 2

((7+5)x8) / 2 = 52

Wilson Swartz rents a car for 5 days at $51.29 a day and has unlimited miles. Wilson drives 198 miles and spends $29.90 on gasoline. The CDW fee is $15.50 per day. What is the total cost? What is the cost per mile?

Answers

Answer:

Total cost=333.95

Cost per mile=6.622

Step-by-step explanation:

5x51.29=256.45

5x15.50-77.50

256.45+77.50=333.95

Let f(x) = 5x ^ 4 - 2x ^ 2 - 8x + 3 and g(x) = - 7x ^ 4 + 6x ^ 3 + 10x ^ 2 - x + 4. What is f(x) + g(x) ?

Answers

[tex]f(x) + g(x) = - 2 {x}^{4} + 6 {x}^{3} + 8{x}^{2} - 9x + 7[/tex]

Please help ! Please help! I will heart you !

Answers

Answer:

x = 65

Step-by-step explanation:

x + 115 = 180

x = 65

Answer:

65 degrees

Step-by-step explanation:

180-115=65 degrees

The line that 115 degrees is on is equal to 180.

Is urgent What is the equation of the line, in point-slope form, that goes through (2, -1)
and is perpendicular to y = 5x + 3?
A. Y+ 1 = 5(x - 2)
O B. y-1--5(x-2)
C. »+1-- *(x-2)
O D. v-2-- }(x+1)

Answers

Answer:

c. y + 1 = -⅕(x - 2)

Step-by-step explanation:

To write the equation in point-slope form, we need to know the slope (m) and coordinates of a point the line passes through.

The equation would be in the form of y - b = m(x - a).

(a, b) = (2, -1)

Since the line is perpendicular to y = 5x + 3, the slope will be the negative reciprocal of 5 which is -⅕

m = -⅕.

Substitute a = 2, b = -1, and m = -⅕ into y - b = m(x - a).

Thus:

y - (-1) = -⅕(x - 2)

y + 1 = -⅕(x - 2)

2.
Lisa is 1.50m tall. Sean is 35cm shorter. How tall is Sean
in metres?

Answers

Answer:

Sean is 1.15m

Step-by-step explanation:

35cm = 0.35m

Lisa is 1.5m tall and Sean is 0.35m shorter

1.5m - 0.35m = 1.15m

Sean is 1.15m

What is the interquartile range?
.
• minimum value = 22
Qı = 34
• median = 35
Q3 = 38
• maximum value = 40

Answers

Step-by-step explanation:

[tex]interquartile \: range = \frac{1}{2} (Q _{3} - Q _{1} ) \\ = \frac{1}{2} (38 - 34) \\ = \frac{1}{2} (4) \\ = 2[/tex]

Answer:

The other dude made 0 sence

Step-by-step explanation:

Its 12

Find the total surface area. Round to the nearest hundredth if necessary.

Answers

Answer:

166

Step-by-step explanation:

multiply the 6 by 2 and then multiply 13 by 10

to get 166

A bag contains 10 blue counting chips and 10 red counting chips. What is the probability that, without looking, Miguel will pick a blue chip first, which he will keep, and on his second draw Miguel will select a red chip?


1/10


11/21


5/38


5/19

Answers

Answer: 5/19

Step-by-step explanation:

(probability of blue chip)/(total chips) x (probability of red chip)/(new total chips)

10/20 x 10/19 = 100/380

simplify: 5/19

2 period class
No students
doing Different questions
due by Apr 14th, 11:59 PM -
One-step addition & subtraction equations
Solve the equation.
2 + y = 11
y =
Stuck? Watch a video or use a hint.
Report a pi
2+y=11

Answers

Answer:

2 + y = 11      y = 9

Step-by-step explanation:

Steps

2 + y = 11

subtract 2 from both sides

2 + y - 2 = 11 - 2

y = 9

I need work shown as well

Answers

Answer:

Step-by-step explanation:

the area of the squared is 5 * 5 = 25

the area of the triangle is 1/2*base*height = 1/2*2*5= 5

the area of the circle is  [tex]\pi[/tex][tex]r^{2}[/tex] = [tex]\pi[/tex][tex]2.5^{2}[/tex] = 19.625

now add the pieces up for the total

25+5+19.625 = 49.625 [tex]in^{2}[/tex]

:)

First, find the area of the semi-circle.

A= pi*radius squared

Find your radius. The diameter is 5, half of that is 2.5

Input into the formula

A= pi*2.5^2

  =3.14*6.25

  =19.625 in^2

You can round that to about 19.6 inches.

Find the area of the square

A=s^2

 = 5^2

 = 25 in^2

Find the area of the triangle.

A= b*h/2

 = 2*5/2

 = 10/2

 = 5 in^2

Add it all up.

19.6+ 25 + 5= 49.6

∴ 49.6 in²

Best of luck!

how many five-miute segments are in 3\4 of an houre

i need help and fast is 23 points good

Answers

Answer: 9

Step-by-step explanation: because 3/4 of an hour is 45 minutes and 45/5 is 9 and it’s in 5 min segments that’s why you divide 45 by 5

sorry for the first one i read the question wrong

A doughnut shop wants to determine if there is a difference in donut sales at different times of the day and for different types of doughnuts. They are open in the morning, afternoon, and night, and offer the following flavors: vanilla, chocolate, red velvet, and marbled. There were a total of 48 sales recorded. The shop conducted a two-way ANOVA test and found an F test statistic for Flavor of 14.87. What would be the numerator degree of freedom for the F test statistic to determine if the factor flavor was significant

Answers

Solution :

Let

[tex]$k_1$[/tex] = number of levels for the factors 'flavors' = 4

      (4 levels vanilla, chocolate, red velvet and marbled)

The degree of freedom for the factor 'flavors' = [tex]$k_1$[/tex] - 1

                                                                            = 4 - 1

                                                                            = 3

Now defining the F test statistics for testing the significance of the factors, 'flavors' :

F test statics = [tex]$=\frac{Ms\text{ (factor falvor)}}{Ms \text{ (errors)}}$[/tex]          ,   Ms = mean square

where F = [tex]$F_{k_1-1}$[/tex], error df.

Thus the numerator degrees of the freedom for the F test statistics to determine if the factor flavor was significant is = [tex]$k_1$[/tex] - 1

                                                                            = 4 - 1

                                                                            = 3                                                                              

what does the model predict for the number of prizes won when you buy 10 tickets?

a - the model predicts that you will win 6 prizes when you buy 10 tickets.
b - the model predicts that you will win 19 prizes when you but 10 tickets.
c - the model predicts that you will win 4 prizes when you buy 10 tickets.
d - the model predicts that you will win 22 prizes when you buy 10 tickets.​​

Answers

Answer:

the answer is b

Step-by-step explanation:

top right corner

Answer:

the answer is b

Step-by-step explanation:

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