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:
4 hours
Step-by-step explanation:
240/60=4
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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Related Questions
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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∠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
what is the number of significant figures in 0.502
Answers
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
Please Help!!
Thanks!!
Answers
Answer:
a) 18x+9x+4x+16
b) 41x+16
below are two parallel lines with a third line intersecting them.
Answers
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
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:
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 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
plz help i attached a photo
Answers
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
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= ∠UTVGiven 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
Norton started driving at 9 am by noon he had traveled 162 mi what was his average Speed?
Answers
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.
What number does the calculator display represent?
Answers
Answer:
C
Step-by-step explanation:
Which transformation has been applied?
Answers
Answer:
Its C
Step-by-step explanation:
Need answer I don’t have much time
Answers
Hope this helped :)
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:
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.
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
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
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
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
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!
What is the mean of the data set: 17,13,18,20,17,15,12
Answers
Answer:
16
Step-by-step explanation:
is 5.67 A)rational B)Irrational C)whole D) natural E)integer
Answers
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
PLS HELP ME ASAP I'LL GIVE BRAINLYEST
Answers
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:
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
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:
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.