Mathematics High School

A motorist drives at a constant rate of 60 kph. If his destination is 240 kilometers away from his
starting point, how many hours will it take him to reach the destination? Write a rule that best describes
the problem and draw its graph using any method.​

Answers

Answer 1

Answer:

4 hours

Step-by-step explanation:

240/60=4

Answer 2

The rule that best describes the problem is time = 240/60.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A motorist drives at a constant rate of 60 kph and his destination is 240 kilometers away from his starting point.

We know, Distance = time×speed.

time = distance/speed.

time = 240/60.

time = 4 hours.

speed×time = distance.

60t = 240.

60x = 240.  (x = t).

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A Motorist Drives At A Constant Rate Of 60 Kph. If His Destination Is 240 Kilometers Away From Hisstarting

Related Questions

is 5.67 A)rational B)Irrational C)whole D) natural E)integer

Answers

Rational it stops and repeats

What is the mean of the data set: 17,13,18,20,17,15,12

Answers

Answer:

16

Step-by-step explanation:

on october 14, bob has $20
on october 20, bob has $80

if bob continues to save money at this rate, how much money will he have on october 23?

Answers

i think it would be $120

You want to purchase your first house. A conventional mortgage will require a credit score of approximately 630. Your credit score is 560. You need to increase it by 70 points to get to 630. If you increase your score by 12% per year, how many years will it take to lift your score to 630?

Answers

Answer:

a) 1.1 yrs

Step-by-step explanation:

THESE ARE OPTIONS FOR THE QUESTION BELOW;

a) 1.1 yrs

b) 2.3 yrs

c) 26 yrs.

d) 12 yrs.

✓At initial year (0 year) credit score =560 points

Then the score is increased by 12% per year, with this 12% increase we have 702.4 points in the 1st year

✓At the first year(1st year)

(12/100)× 560 points of the initial year.

= 627points

✓ At second year (2nd year), the 627points

increases by 12% again.

(12/100)× 627.2 points of the initial year.

= 702.4points

There was 75.2 increase between istyear and second year(702.4points - 627points)

Since, We have 12 month in a year, that means there is 6.2 points per month (75.2/12) for the year .

After second year we had 627points, with increase of 6.2point, Then at 1.1 year we would have score of 630 points

Answer:

11

Step-by-step explanation:

Please help me with this. Will give brainliest to the best answer. Image attached

Answers

Answer:

1: x= 10

Step-by-step explanation:

I only know the first one, sorry, but if its any help then for #2: x= 8

HELLP
Using the graph: after a reflection, the image vertices are A’(5,1),B’(3,-1) and C’(7,-1) what is the line of reflection?

Answers

Answer:

x=2

Step-by-step explanation:

the line that is being refected over is x=2

Which ordered pair is a solution to the system of inequalities?
y> 2x
y> 3
O A. (4,6)
O B. (2,4)
O C. (1,5)
O D. (0,3)

Answers

Answer:C

Step-by-step explanation:

BIG BRAIN

The solution is, C. (1, 5), ordered pair is a solution to the system of inequalities.

Here, we have,

We have the following system of inequalities:

y> 2x

y> 3

We graph each inequality and obtain the following:

Now we graph each point and the one that remains inside the purple zone, would be the system solution, like this:

We can see that the only option that remains within the point zone is the point (1, 5)

therefore, the correct answer is C. (1, 5)

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below are two parallel lines with a third line intersecting them.

Answers

44+44= 88 360-88= 272 272/2= 136
136 is your answer. you can also see that 44 degrees is on a straight line so you can do 180 ( because a straight line is 180 degrees) minus 44 which also gives you 136

PLEASE HELP

Norton started driving at 9 am by noon he had traveled 162 mi what was his average Speed?

Answers

18 mi/ph because 162 divided by 9 is 18.

Answer:

54 mph

Step-by-step explanation:

Noon is at 12:00 so if he started at 9:00 he would have droven 3 hours and 162 divided by 3 = 54.

A rectangular pentagon with side lengths of l. A rectangle with a length of l + 10 and a width of l.
A regular pentagon and rectangle have the same perimeter. The length of the rectangle and the side of the pentagon are equal. The width is 10 more than the length. Write an equation that describes the scenario.
pentagon’s perimeter:
rectangle’s perimeter:
scenario’s equation:

Answers

Answer:

Pentagon's perimeter: 5I ; (choice 2)

Rectangle's perimeter: 2I + 2 (I + 10) ; (choice 4)

Scenario's equation: 5I = 2I + 2 (I + 10) ; (choice 4)

Step-by-step explanation:

I hope this helped! :)

Answer:

Pentagon's perimeter: 5I ; (choice 2)

Rectangle's perimeter: 2I + 2 (I + 10) ; (choice 4)

Scenario's equation: 5I = 2I + 2 (I + 10) ; (choice 4)

Step-by-step explanation:

PLS HELP ME ASAP I'LL GIVE BRAINLYEST

Answers

I think you do 1 1/4 divided by 20 i’m not sure sorry if it’s wrong

Which transformation has been applied?

Answers

I think it’s going to be reflection but I don’t know which one it is :/

Answer:

Its C

Step-by-step explanation:

we're doing literal equations in math and i dont understand how i would solve this question, please help!

Answers

Answer:

x = -4u/3

Step-by-step explanation:

The first step is to create a fraction on both sides in order to prepare for cross-multiplication.

Cross-multiplication is a shortcut for the following technique, shown by this example.

a/b=c/d

Multiplying both sides of the equation by bd using the multiplication property of equality will then grant the equation ad = bc, and then a single component can be isolated by creating the equation a = bc/d for example using the division property of equality.

Back to cross-multiplication, however, creating a fraction of both sides can be achieved by creating the equation u/1 = -3x/4, since any number divided by 1 is equal to itself.

Then, by cross-multiplying u and 4 and 1 and -3x, you get the equation 4u = -3x.

Dividing both sides by -3 will then grant the final answer of x = -4u/3.

Simplify.

2(m + 11)

2m + 11
2m + 22
24m
22m

Answers

Answer:

b 2m + 22

Step-by-step explanation:

m times 2 is 2m and 11 times 2 is 22

Answer:

2m + 22

Step-by-step explanation:

Step 1: Write expression

2(m + 11)

Step 2: Distribute (Distributive Property)

2m + 22

We simply distribute 2 to each term in the parenthesis.

What number does the calculator display represent?

Answers

Answer:

C

Step-by-step explanation:

PLZ Help
Will mark brainliest and give 100 points
its a long one so dm me abt 50 more!

Answers

Answer:

yes check and click your profile

Step-by-step explanation:

Mallory is 2 years older than three times her brother Jake’s age.
Let j represent Jake’s age.
During the strategize step of the five-step problem-solving plan, which expression where do you use to represent Mallory’s age?
A. 3j+2
B. 2j+3
C. j+2
D. 3(j+2)

Answers

Answer:

A) 3j + 2

Step-by-step explanation:

sorry, I always have trouble explaining this kind of question. hope I was still able to help!

Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dollars per mile, for each mile she drives. For a distance of 30 miles, Curtis and Audrey charge the same amount. How much does Audrey charge, in dollars per mile? Show your work

Answers

This is what I found online that shows work

A Camaro travels 82.5
miles in one half
hour. How many miles
per hour does it
travel?

Answers

Answer:

165 miles per hour

Step-by-step explanation:

2 (half an hour) = one hour

so

2(82.5) = 165 mph

The perimeter of a rectangular swimming pool is 154 m. Its
length is 2 m more than twice its width. What are
length and the width of the pool ?

Answers

Answer:

breadth =25 m and length =25×2+2=52 m

Step-by-step explanation:

Which is the graph of the system y < 3x + 4 and y < 3x - 2

Answers

Answer:

C

Step-by-step explanation:

Answer:

It’s C

Step-by-step explanation:

trust

what is the value of x?​

Answers

Answer:

The value of x is 8 cm

Step-by-step explanation:

we can see that there are two triangles

smaller triangle and larger triangle

and both triangles are similar

so, the ratio of their sides must be equal

we get

now, we can solve for x

we can cross multiply

Divide both sides by 5

Subtract both sides by 13

divide both sides by 2

what is the number of significant figures in 0.502​

Answers

What ?! What’s the picture

∠A and ∠B are complementary angles. If m∠A = (6x + 29)° and m∠B = (x + 5)°, then find the measure of ∠A

Answers

Answer:

77 degrees

Step-by-step explanation:

6x+29+x+5= 90

7x=56

x=8

m<A = 77 degrees

TV−→− bisects ∠STU, m∠STV=(14x+8)∘, and m∠UTV=(x+2)∘. Find m∠STU

Answers

Answer:

Since TV bisects STU, m∠STV and m∠UTV are equal

14x+8 = x+2

13x+8 = 2

13x = -6

x = -6/13 or -0.46

The measure of m∠STU is 40/13 degrees

A point that bisects a line divides the line into two equal parts

If TV bisects  ∠STU and  ∠UTV, then;

∠STU =  ∠STV+  ∠UTV ∠STV=  ∠UTV

Given the following

m∠STV=(14x+8)∘

m∠UTV=(x+2)∘

Substitute the given values into the formula and calculate m∠STU

14x + 8 = x+ 2

14x - x = 2 - 8

13x = -6

x = -6/13

Get m∠STV

m∠STU = 14x+8 + x + 2

m∠STU = 15x + 10

m∠STU = 15(-6/13) + 10

m∠STU = -90/13 + 10

m∠STU = 40/13

Hence the measure of m∠STU is 40/13 degrees

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Please Help!!
Thanks!!

Answers

Answer:

a) 18x+9x+4x+16

b) 41x+16

Need answer I don’t have much time

Answers

D

Hope this helped :)

I need help with this question?
Directions:Write the equation of each line. Explain what the slope and y-intercept represents in the context of each graph.

Answers

the y intercept is where the line passes through the y axis so y=0
we are gone find 2 points on the graph so i would use (10,30) (20,60)
m=y2-y1/x2-x1
60-30/20-10
30/10
m=3
slope = 3
equation is y=3x

Solve the equation. Show all Work. (4 points)
73 + 3(-x + 6)=42
1 pt. for correct answer. 3 point for all correct work shown. Remember to make sure
you show what operation you perform to both sides of the equation for every step.

Answers

Answer:

6

Step-by-step explanation:

7x + 3(-x + 6) = 42

use distributive property

7x + -3x + 18 = 42

positive + negative = negative

7x - 3x + 18 = 42

combine like terms

4x + 18 = 42

subtract 18 from both sides

4x + 18 - 18 = 42 - 18

18 is canceled out on the left side

4x + 0 = 24

4x = 24

divide both sides by 4

4x ÷ 4 = 24 ÷ 4

1x = 6

x = 6

plz help i attached a photo

Answers

x= 2/6 y= 6/10 z= 9/4 pretty sure
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