Today, Sean left home at 8 a.m., drove to work, and worked from 9 a.m. until 5 p.m. On the drive back
home. Sean got stuck in slow-moving traffic for 2 hours, then stopped to have dinner, and finally got home
at 9:30 pm
The graph below shows Sean's distance, d from his home (in kilometers) as a function of the time, t (in
hours!
Complete the sentences below based on the graph of the function.
. Sean's workplace is located km from his home.
• Sean's speed when he was driving to work was km h.
. Sean's speed between 5 p.m. and 7 p.m. was km h.

Answers

Answer 1

Complete question

High School Mathematics 5+3 pts

Today, Sean left home at 8 a.m., drove to work, and worked from 9 a.m. until 5 p.m. On the drive back

home. Sean got stuck in slow-moving traffic for 2 hours, then stopped to have dinner, and finally got home

at 9:30 pm

The graph below shows Sean's distance, d from his home (in kilometers) as a function of the time, t (in

hours!

Complete the sentences below based on the graph of the function.

. Sean's workplace is located _____km from his home.

• Sean's speed when he was driving to work was ___ km/h.

. Sean's speed between 5 p.m. and 7 p.m. was _____km/h.

Answer:

Sean's workplace is located 20km from his home.

Sean's speed when he was driving to work was 20 km/h.

Sean's speed between 5pm and 7pm was 5 km/h.

Step-by-step explanation:

The formula for Speed = Distance in km ÷ Time in hours

a) Form the graph, we can see that Sean's workplace is located 20km from his home.

b) From the graph,

the distance from Sean's workplace from his home = 20km

We were told in the question that he drove from 8am - 9am.

This means Sean drove for 1 hour.

Since Speed = Distance in km ÷ Time in hours

Sean's speed = 20km ÷ 1 hour

= 20km/h

Therefore, Sean's speed when he was driving to work was 20 km/h.

c) From the graph, we can see that the distance Sean travelled was 10km from 5pm to 7pm

The time is from 5pm to 7pm, this means 2 hours

Speed = Distance in km ÷ Time in hours

Sean's Speed between 5pm to 7pm = 10km ÷ 2 hours

= 5km/hr

Therefore, Sean's speed between 5pm and 7pm was 5 km/h.


Related Questions

Consider the quadratic function f(x)= 2(x + 4)² − 6. Does the graph open up or down

Answers

Answer:

up

Step-by-step explanation:

a is positive

Two and a half pounds of Super Nutty granola cost $12. How much does one pound cost?

Answers

Answer:

4.8 dollars for 1 pound super nutty

The data set shows the numbers of hours that employees at a certain shop worked in one week. What is the mean number of hours they worked that week? 30 15 32 48 16 51 30 35 32 31

Answers

Answer:

mean number of hours worked = 32

Step-by-step explanation:

The mean or average of a set of data is the sum of the individual data divided by the number of entries.

Therefore, the mean number of hours worked is calculated as follows:

sum of the number of hours = 30 + 15 + 32 + 48 + 16 + 51 + 30 + 35 + 32 + 31 = 320

Number of entries = 10

mean number of hours worked = sum of the number of hours ÷ Number of entries

mean number of hours worked = 320 ÷ 10 = 32

A gardener used 3/8 square foot of his garden to plant 1/4 packet of flower seeds. If he continues spacing the seeds in the same way how many square feet will be covered with the entire packet of seeds. Write as a decimal. *

Answers

Answer:

1.5 square feet will be entirely covered

Step-by-step explanation:

Firstly, let’s have an arbitrary value for the total area of a garden.

Let’s say the total garden has a measure of 80 square foot.

Now, 3/8 which is corresponding to 3/8 * 80 = 30 square foot was used to plant 1/4 packet of flower seeds.

To plant another 1/4, what will be required is another 30 square foot, to plant the third 1/4, what is required is another 30 square foot, to plant the last set of 1/4, what is required would be another 30 square foot

The total amount of square foot thus needed is 30 + 30 + 30 + 30 = 120 square foot

Now this fraction measures in decimal that of the initial total; 120/80 = 30/20 = 1.5 square feet

OR

we can have it as;

1/4 of packet covered 3/8 square feet

1 packet will cover x square feet

Mathematically;

x * 1/4 = 3/8 * 1

x = 3/8 divided by 1/4

x = 3/8 * 4 = 12/8 = 1.5 square feet

Find the angle of nonnegative measure 29pi/12

Answers

Answer:

435 degrees

Step-by-step explanation:

Using unit circle, you move back 5/12 of the circle and add 360 degrees to it to get 360 + 75 = 435 degrees :)

make me brainliest if i helped

expand the linear expression 6(7m+2)​

Answers

Answer:

42m +12

Step-by-step explanation:

6(7m+2)​

Distribute

6*7m +6*2

42m +12

Answer:

42m+12  

Step-by-step explanation:

The 10th term of an AP is -37 and sum of its first 6 terms is -27. Find the sum of its first eight terms.

Answers

Answer: - 63

Step-by-step explanation:

An arithmetic progression is such that the N-th element is equal to:

An = A1 + (n-1)*R

where A1 is the first term, and R is the difference between two consecutive terms.

We know that

A1 + 9*R = -37

and

A1 + (A1 + R) +  (A1 + 2R) +   (A1 + 3R) +  (A1 + 4R) +  (A1 + 5R) = -27

6*A1 + R(1 + 2 + 3 + 4 + 5) = -27

6*A1 + 15*R = -27

so we have two equations:

6*A1 + 15*R = -27

A1 + 9*R = -37

Let's find A1 and R.

First, isolate A1 in the second equation:

A1 = -37 - 9*R

now replace it in the other equation and solve it for R.

6*A1 + 15*R = -27

6*(-37 - 9*R) + 15*R = -27

-222 - 54*R + 15*R = -27

-39*R = -27 + 222 = 195

R = 195/-39 = -5

Now we can find the value of A1:

A1 = -37 - 9*R = -37 - 9*-5 = 8

So now we want to calculate the sum of the first eight terms. we already know that the sum of the first six is -27, so we need to add the seventh and the eigth.

A7 = 8 + 6*-5 = -17

A8 = 8 + 7*-5 = -22

Sum = -27 -17 - 22 = -63

60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️

Answers

Answer:

c

Step-by-step explanation:

Need help ASAP !! Anyone get this question ?

Answers

Answer:

1:3

Step-by-step explanation:

Down arrows: 4 out of 12

4:12

1:3

Answer:

4:12, 4 to 12, or 4/12

Step-by-step explanation:

this is so simple, first see how many down arrows are there

down arrows: 4

then count the total arrows

total: 12

down arrows to total arrows

4:12

The watch Bea would like to buy costs $10 less than 2
times the amount she has saved. The watch costs $50.
How much money does Bea have saved?

Could whoever answers pls tell the equation used?

Answers

Answer: Bea has $30 saved

Step-by-step explanation:

Add 10: 50+10=60

Divide by 2: 60/2=30

An isosceles triangle has an angle that measures 50°. Which other angles could be in that isosceles triangle?
The answer choices are
65°
80°
50°
30°
Plz help

Answers

Answer:

80

Step-by-step explanation:

An isosceles has 2 angles that are the same so 50+50 is 100 so we have 80 degrees left to make a full triangle because all angles will always add up to 180 so 50+50+80 is 180 degrees

50 and/or eighty because it’s an isosceles and that makes it two of the angles the same so the the other has to be fifty and the interior sum of a triangle is 180 always and fifty plus fifty is a hundred so you need eighty to finish it off

In a certain Algebra 2 class of 24 students, 6 of them play basketball and 16 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer:

4/24

Step-by-step explanation:

Answer:

4/24

Step-by-step explanation:

Brainliest!!!
What is 30 divided by 5?
Really Easy!

Answers

Answer:

6

Step-by-step explanation:

Answer:

The answers 6 gorgious

Can someone help me? i'll be giving brainliest

Answers

Answer:

x= 55

Step-by-step explanation:

Answer:

the answer id 62

Step-by-step explanation: 62!!!!!!!!!!

what is 11/4 as a percent

Answers

..............275%..................

Answer:

275%

Step-by-step explanation:

Someone please help me. ASAP

Answers

Answer:

x = 6

Step-by-step explanation:

we both know you dont wanna know how you just want the answer

Answer:

6

Explanation:
Add like terms and make x alone.

I hope this helps you!!

Solve for the value of p.

2 x p = 34

Answers

Answer:

p = 34/2

p= 17

thank you.

what is 6 divide by 2 times 3 times 100 multiply by 700 and divide by 1.37 and multiply by 0.778 and then add 0.778913 times 100 time 10 time 1.77 then multiply by 444444.47 then divide by 7777777.0999 and then add 100.
MUST BE CORRECT OR I WILL REPORT YOU!!!

Answers

Answer:

~460032.8

Step-by-step explanation:

Essentially, when this is written out, we get:

6 ÷ 2 × 3 × 100 × 700 ÷ 1.37 × 0.778 + 0.778913 × 100 × 10 × 1.77 × 444444.47 ÷ 7777777.0999 + 100

Order of operations says to do multiplication and division first, so let's calculate 6 ÷ 2 × 3 × 100 × 700 ÷ 1.37 × 0.778 separately:

6 ÷ 2 = 3

3 × 3 = 9

9 × 100 = 900

900 × 700 = 630000

630000 ÷ 1.37 = 459854

459854 × 0.778 = 357766

Now calculate 0.778913 × 100 × 10 × 1.77 × 444444.47 ÷ 7777777.0999:

0.778913 × 100 × 10 × 1.77 × 444444.47 = 612744929

612744929 ÷ 7777777.0999 ≈ 78.78

Add these all up:

357766 + 78.78 + 100 ≈ 460032.8

Answer:

20622.58008

Step-by-step explanation:

6 divide by 2: 3

times 3: 9

times 100: 900

multiply by 700: 630000

divide by 1.37: 459854.0146

multiply by 0.778: 357766.4234

then add: 0.778913 × 100 × 10 × 1.77:

359145.0994

multiply by 444444.47: 1.5962 ×10¹¹

divide by 7777777.0999: 202522.58008

add 100: 20622.58008

The value of the square root of 13 is between

Answers

Answer:uhhhhhhhhhhhhhhhhhhh 14

Step-by-step explanation:

What is the solution?

Answers

Answer:

Answer: w=2 and 2=6

Step-by-step explanation:

If you substitute 6 and 2 in for w they both work, making c the correct answer

Step-by-step explanation:

I did the work on a piece of paper and attached the picture.

Hope this helps :)


Let ∠A, ∠B, and ∠C be acute angles. Use a calculator to approximate the measures of ∠A, ∠B, and ∠C to the nearest tenth of a degree.

cos A = 0.31, sin B = 0.89, tan C = 0.52

Answers

Answer:

1. ∠A =  71.9°

2. ∠B =  62.9°

3. ∠C = 27.5°

Step-by-step explanation:

By using a calculator, we have;

cos A = 0.31

sin B = 0.89

tan C = 0.52

1. Therefore, ∠A = cos⁻¹(0.31), inputting the digits in the calculator and looking for the inverse sign, we have;

∠A = cos⁻¹(0.31) = 71.94° = 71.9° to the nearest tenth of a degree.

2. For sin B = 0.89, we have;

∠B = sin⁻¹0.89 = 62.873° ≈ 62.9° with the answer rounded to the nearest tenth of a degree.

3. Similarly, for tan C = 0.52, inputting the values in the calculator and pressing the tan⁻¹ button, we have;

∠C = tan⁻¹(0.52) = 27.474°, which is 27.5° rounded to the nearest tenth of a degree.

An acute ∆ABC is rotated about a point and then dilated by a scale factor of 0.5 to produce ∆A’B’C’. Which statement correctly compares ∆ABC to ∆A’B’C’.

Answers

Answer:

Option given in the top right.

Step-by-step explanation:

If an acute triangle is rotated about a point,

- Angles of the transformed triangle remain unchanged.

If a triangle is dilated by a scale factor of [tex]\frac{1}{2}[/tex],

- Measure of sides of the image will be dilated by a scale factor of 0.5.

Therefore, statement that compares ΔABC to ΔA'B'C' will be,

The angle measures of the triangle A'B'C'are the same of those ΔABC, but the side length of the ΔA'B'C' half the size of those of ΔABC.

Option given in the top right is the answer.

What is the formula to find the volume of the solid ?

Answers

Answer:

Step-by-step explanation:

This solid figure is a cone,

Volume=(πr²H)/3 cubic units

r ----> radius

H -------> height

The following table shows the number of points scored last basketball game by each player on the Dragons basketball team.
Player Number of points scored
Daniela 555
Isabella 888
Rafaela 111111
Beatriz 777
Kalin 99

FIND MAD

Answers

Answer:

[tex]1.6[/tex]                                                                                 - written in [tex]2/12/2021[/tex]

Step-by-step explanation:

The answer is [tex]1.6[/tex] because, [tex]\frac{5+8+11+7+9}{5} = 8[/tex] and [tex]8-5=3[/tex], [tex]8-8=0[/tex], [tex]11-8=3[/tex], [tex]8-7=1[/tex], and [tex]9-8=1[/tex].

So use all the sums and you'll get this: [tex]\frac{3+0+3+1+1}{5} =1.6[/tex]

This is exactly how I got the answer, I also did it on khan because I didn't trust the other person above me, and I got the same answer as him. So I did this to prove he's correct.

Answer:

7.4

Step-by-step explanation:

How is writing expressions with variables and numbers similar to writing expressions using words?

Whoever answers this first will get brainliest.

Answers

The expressions in which the numbers, or variables, or both, are connected by operational signs (+, - etc.) are called algebraic expressions. For example 5, 4x, a+b, x−y.

Answer:

Sometimes in math we describe an expression with a phrase. For example, the phrase

   "2222 more than 5555"

can be written as the expression

   2+52 + 52+52, plus, 5.

Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).

For example,

   "3333 more than xxxx"

can be written as the algebraic expression

   x+3x+ 3x+3x, plus, 3.

But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.

Different words for addition, subtraction, multiplication, and division

Here is a table that summarizes common words for each operation:

Operation Words Example algebraic expression

Addition plus, sum, more than, increased by x+3x + 3x+3x, plus, 3

Subtraction subtracted, minus, difference, less than, decreased by p−6p - 6p−6p, minus, 6

Multiplication times, product 8k8k8k8, k

Division divided, quotient a÷9a \div 9a÷9a, divided by, 9

For example, the word "product" tells us to use multiplication. So, the phrase

   "the product of 8888 and kkkk

Let's take a look at a trickier example

Write an expression for "mmmm decreased by 7777".

Notice that the phrase "decreased by" tells us to use subtraction.

So the expression is m−7m - 7m−7m, minus, 7.

Jada walks up to a tank of water that can hold up to 10 gallons when it is activated a dream empty water from the tank at a constant rate when Jayda first season take it contain 7 gallons of water three minutes later the tank contains 5 gallons of water at what rate is the amount of water in the tank changing you signed numbers and include the unit of measurement in your answer

Answers

Correct question:

Jada walks up to a tank that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water. At what rate is the amount of water in the tank changing? use a signed number, and include the unit of measurement in your answer.

Answer: - 2/3

Step-by-step explanation:

Given the following :

Amount of gallon tank can hold = 10

tank drains at a constant rate :

First look tank contains 7 gallons

After 3 minute,

Tank contains 5 gallons

Thus signifies a 2 gallon decrease in volume of water after 3 minutes

Therefore, the rate of change =( change in volume) / time

Rate of change = (final volume - initial volume ) / 3

(5 - 7)/ 3 = - 2/3

a square of area is 36 cm squared is cut to make two triangles, A and B. The ratio of area A to area B is 2:1. Work out the dimensions of rectangles A and B.

Answers

Dimensions of:

Rectangle A are 6 cm by 4 cm.

Rectangles B are 6 cm by 2 cm.

Step-by-step explanation:

It is given that:

The area of square is 36 cm^2.

Hence, the side of the square is given as:

Area=(side)²

36=(side)²

side=6

Hence, the side of square is 6 cm.

Now, as the area of two rectangles A and B are in the ratio:

2:1

This means that, the area of rectangle A is 24 cm².

and area of rectangle B is 12 cm²

( Since, 36/(2+1)=36/3=12

Area of rectangle A=2×12=24 cm²

Area of rectangle B=1×12=12 cm². )

Hence, the dimensions of A are:

6 cm by 4 cm.

and the dimensions of rectangle B are:

6 cm by 2 cm.

Order the rational numbers from least to greatest

Answers

It’s the 3rd option. Everything with a - in front of it is smaller than 0.

Answer:

its the 3rd one

Step-by-step explanation:

you find which one is smaller and then you go to the next one up

What is the surface area of a cube in which each face of the cube has an area of 7 cm??

Answers

Answer:

42

Step-by-step explanation:

6 faces to a cube

each face has area of 7

6*7 is 42

Answer:

42 is correct

Step-by-step explanation:

give the other person brainliest

A school librarian is purchasing books for the next school year. She surveyed 25 students and 6 said that they prefer science fiction books. If there are 125 total students, how many science fiction books should be purchased.

Answers

Answer:

30 science fiction books

Step-by-step explanation:

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