Car A is traveling east at a steady speed of 45 miles per hour. After 2 hours, it is 100 miles east of Johnstown
Car B is traveling east on the same road. it’s distance east of Johnstown is represented by the graph.
Where were the two cars in relation to each other when they began traveling?
A. Car B was 10 miles east of car A
B. Car A was 45 miles east of car B
C. Car A was 10 miles east of car B
D. Car B was 40 miles east of car A
Answers
Answer:
The correct option is;
A. Car B was 10 miles east of car A
Step-by-step explanation:
The given parameters are;
The speed of car A = 45 miles per hour
The direction of car A = East
The distance of car B from Johnstown after 2 hours = 100 miles east
The direction of Car B = East
The distance of car B from Johnstown is given on the graph
Therefore, the initial distance of car A from Johnstown when car A began driving is given as follows;
The initial distance, east, of car A from Johnstown = 100 - 2 × 45 = 10
∴ The initial distance, east, of car A from Johnstown = 10 miles
From the graph, the initial distance, east, of car B from Johnstown = 20 miles
Therefore, car B was 10 miles east of car A
Answer:
Car B was 10 miles east of car A
Step-by-step explanation:
Related Questions
HELP ASAP PLEASE!!!!
Triangle ABC is similar to triangle PQR, as shown below: Which equation is correct? (1 point)
Answers
Please help!! Question is in the picture
Answers
Answer: (5,8)
Step-by-step explanation:
So this is a matter of using a system of linear equations
To start if a total of 13 people got a ticket then we know that
x+y=13
x and y being explained in the problem
then if adult tickets are $40 and children tickets are $20 and the total cost is 360 we can set up the next equation
40x+20y=360
If you were to plug in 1 lets say into x that means that 1 person bought a ticket for $40 this shown by 40 (1) this is the same premise for the childrens tickets.
now we have
x+y=13
40x+20y=360
now we can solve by eliminating one of the variables this is done by either getting rid of the x or y and solving for the other. I solved for the y value first this looks like
-40(x+y=13)
40x+20y=360
Distribute the -40 to each value
giving you
-40x-40y=-520
40x+20y=360
add these together from the top down
the x's cancel leaving
-20y=-160
then isolate the y value by dividing both sides by -20
-20y/-20=-160/-20
leaving you with your y point
y=8
This is how many childrens rickets were sold now we can plug into the first linear equation
x+8=13
now easy subtration to isolate the x point
x+8-8=13-8
x=5
Finally leaving you with point (5,8)
Sovle for x help !!!!!!!!!
Answers
Answer:
C) 115 degrees
Step-by-step explanation:
A line is 180 degrees.
This means that the other side of the line with an angle of 115 degrees will be 180-115=65 degrees.
The angle above that will be 115 and the other will be 65.
Line v is similar to line u. This means that it is 115 degrees because the question mark is at the spot that is 115 degrees in the above angles.
What is the square root of 10,000 in simplest radical form?
Answers
Answer:
Step-by-step explanation:
the answer is 100
Translate into an equation: "The difference of half a number and 7 is the same as the sum of the number and 13"
Answers
Answer:
n2 - 7 = n + 13
Would 7x = 28 represent any geometric proof?
Answers
Answer: yes because the x could be 4 then 7 times 4 is 28 which would make this math sentence true
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
please help i have been stuck on this for so long :(
Answers
Answer:
Angle 1
Step-by-step explanation:
Angle 1 is the only marked angle that is an obtuse angle (larger than 90 degrees, but less than 180).
Also, the angle marked as 28 degrees and angle one are supplementary, meaning that they add up to equal 180. 180-152=28
Answer:
angle 1
Step-by-step explanation:
Is this graph a function? why or why not.
Answers
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
1. For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to
feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza. Let:
S = number of small pizzas he can buy & L = number of large pizzas he can buy.
Select the system of inequalities that represents this situation.
Answers
Answer:
7.25S + 10.50L ≤ 90
The system of inequalities that represents a given situation are S+L>5 and 7.25S+10.50L≤90.
Given that, For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza.
What are inequalities?Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let S = the number of small pizzas he can buy and L = the number of large pizzas he can buy.
Juan must buy more than 5 pizzas to feed the team.
That is, S+L>5
Pizzas are $7.25 for a small pizza and $10.50 for a large pizza=7.25S+10.50L
Juan collects $90 for pizza. So, 7.25S+10.50L≤90
Therefore, the system of inequalities that represents a given situation are S+L>5 and 7.25S+10.50L≤90.
To learn more about the system of inequalities visit:
https://brainly.com/question/16339562.
#SPJ2
Which ordered pairs are soultions to the inequality y-2x<-3
Answers
Answer:
(-3, 3/2)
Step-by-step explanation:
Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function
y-intercept occurs at x = 0
Substitute x = 0 into the expression
y - 2(0) < -3
y < -3
Find the x-intercept by substituting y = 0 into the expression
0 - 2x < -3
-2x < -3
x > 3/2
Hence the ordered pair is (x, y) = (-3, 3/2)
What is the value of X?
A: 15
B: 27
C: 45
D: 12
Answers
Answer:
D
Step-by-step explanation:
Write an inequality for the graph below
Answers
Answer:
y ≤ -4x - 3
Step-by-step explanation:
First identify the line itself by using point slope [y - y1 = m(x - x1) ] given two points or find the slope by finding the rise of the line over the run [m = ∆y/∆x ] [∆ = change/difference]. Because you are already given the y-intercept, using the form y = mx + b, the y-intercept is -3 because that is where the line intersects the y axis or where x = 0 so b = -3.
Now from -3, you can tell that when you go 1 across, the line goes down 4 units so the slope or m must be -4. Because it goes from -3 to -7, that is a change of -4. This means the line is y = -4x - 3.
Because there is a solid line, and a shade (thought of as the y value) under the line, you will replace = [equal sign] with the ≤ [less than or equal sign]. Therefore the answer is y ≤ -4x - 3
Ms. Moneyhun's son, Sam, just learned to crawl. He can crawl 20 ft in one minute. How many feet can Sam crawl in one hour? (Hint: there are 60 minutes in one hour)
Answers
Answer:
1200 ft in one hour
Step-by-step explanation:
The ratio of Sam crawling 20 ft in one minute can be written as:
20:1
Multiply the ratio by 60 to get the minutes to 60 minutes, because there are 60 minutes in an hour:
20 : 1
×60 ×60
To get:
1200:60 ⇒ This means Sam can crawl 1200 ft in 60 minutes, which is the same as 1200 ft in one hour.
Hope this helps! :)
6th grade math i mark as brainliest
Answers
9514 1404 393
Answer:
8, 9. Correct
10. 6.1×t
Step-by-step explanation:
8, 9. The answers shown are correct.
__
10. The only product in the given expression is 6.1t, which can be written as ...
6.1×t
when a symbol is used to represent multiplication.
The parts of the product are the multiplicand and the multiplier. Those parts are also called factors.
(04.01 LC)
Which set of ordered pairs represents a function? (1 point)
a
{(0, 1), (1, 2), (2, 3), (3, 3)}
b
{(0, 1), (1, 2), (1, 3), (2, 5)}
c
{(0, 0), (1, 2), (2, 4), (2, 6)}
d
{(0, 0), (0, 1), (2, 0), (2, 4)}
Answers
Answer:
A
Step-by-step explanation:
Explain when it is appropriate to use a benchmark percent in solving a problem.
Answers
Answer:
The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.
These benchmark values are sometimes used when estimating a solution involving percentages.
Real-World Example
If an item costs $36.00 and there is a 7% sales tax, the benchmark of 10% can be used to mentally estimate the sales tax of the item.
10% of 36, done mentally, is 3.6.
Since 7% is a bit less than 10%, the sales tax will be a bit less than $3.60.Step-by-step explanation:
Examine the diagram. It is not drawn to scale. A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6. In the diagram shown, m∠1 = 30° and m∠5 = 120°. What is the sum of the measures of ∠4, ∠5, and ∠6? degrees Identify the following angle measures. m∠2 = degrees m∠4 = degrees m∠6 = degrees
Answers
Answer:
✔ 360°
Identify the following angle measures.
m∠2 = ✔ 60
m∠4 = ✔ 150
m∠6 = ✔ 90
Step-by-step explanation:
i just finished answering the question
Answer:
C
B
B
C
Step-by-step explanation:
for the lazy ppl
What is the fraction that is halfway between 1/3 and 3/2
Answers
Answer:
11/12
Explanation:
1/3 + 3/2 = 11/6
11/6 x 1/2 (average is halfway) = 11/12
Answer:
-1/12.
Step-by-step explanation:
One way to do this is as follows
Answer = (3/2 + 1/3) / 2
= (9/6 + 2/6) / 2
= 11/6 / 2
= 11/12.
A band expects to put 16 songs on their next CD. The band writes and records 75% more songs than they expect to put on the CD. During the editing process, 75% of the songs are removed. How many songs will there be on the final CD?
Answers
Answer:
7 songs
Step-by-step explanation:
75% of 16 is 12
16 + 12 = 28
75% of 28 is 21
28 - 21 = 7
Answer:
7 songs
Step-by-step explanation:
HELP ASAP FOR BRAINLIEST
Answers
Answer: i am pretty sure its the first one
Step-by-step explanation:
i don't know for sure
Logically if you think about it, when x is at zero the y-value is also at 0. The number 0 will not find you the amount of wood gathered per hour.
As long as you can connect the hours (x-value) with the amount of wood (y-value) that meets on the line, then you should be able to determine the amount.
I hope that’s not too confusing. If so, send a comment and i can explain it to you further (:
If a train goes at a constant speed of 40 miles per hour for one hour, then at a constant speed of 50 miles per hour for two hours, what is its instantaneous speed at the beginning of the last hour of its trip?
Answers
Answer:
60
or 200 miles is the hole trip
Step-by-step explanation:
In a party Tom paid $540 including the cake and drink for his friend the cost of a person attending the party is $15 the cost of cake and drinks are $75 and $90 respectively find the number of friends that attended the party
Answers
15+75+90=180
540/180=3
On Monday, Cathy read 1/6 of her book, and on Tuesday, she read 2/6 of the book. How much has she read
Answers
Answer:
1/2 of her book
Step-by-step explanation:
1/6 + 2/6 = 3/6 = 1/2
Answer:
I think that it is 1/2 of her books
Step-by-step explanation:
Hope this helped have an amazing day!
What is the x- intercept of the line that represents y=-4x+12
Answers
Answer:
3,0
for steps
Step-by-step explanation:
math
way
Hey guys i need help asap, here’s the problem (j-5)(5)
Answers
Answer:
5j-25
Step-by-step explanation:
Answer:
5j - 25
Step-by-step explanation:
Distribute #5 among j and -5
If f(x) = 2x^2 +1, what is f(x) when x = 3?
O1
O7
•13
O 19
Answers
Answer:
19
Step-by-step explanation:
Plug 3 in for (x)
You'd have: 2(3)²+1
Solve. Do parentheses first so... 3²=9
You now have: 2(9)+1
Solve
18+1 = 19
natalie is baking cupcakes. Each cupcake needs ½ a cup of sugar. How many cupcakes can she make if she has 7 ⅓ cups of sugar? show your work
Answers
Answer:
14
Step-by-step explanation:
If each cupcake needs 1/2 cup of sugar, you need to divide the total cups of sugar by 1/2.
7 1/3 ÷ 1/2= 14.6
You cant have .6 of a cupcake, therefore she can make 14 cupcakes.
1. Naty bought a dress for $24.95 and a skirt for $14.95. The sales clerk said the total
cost including 9.5% sales tax was 49.40. Below are the steps the clerk completed.
Answer
Step 1: 24.95 + 14.95 = 39.90
clercks step
the percent
Step 2: 39.90 + 9.5 = 49.40
Are the clerk's steps correct? If she is incorrect, identify her mistake and explain her
error. Explain in writing how to accurately calculate the sales tax, total cost, and state
the correct total. (Round final answer to the nearest hundredth)
Answers
Answer:
Answer:
39.995=40.00
Step-by-step explanation:
0.095 is tax he just added 9.5 he is not correct
A city has 5 new houses for every 9 old houses. If there are 35 new houses in the city, how many old houses are there?
A.
61
B.
65
C.
63
D.
68
Answers
Answer:
C.) 63
Step-by-step explanation:
You know what you insisted on me answering, so I'll answer here.
35 ÷ 5 = 7
7 x 9 = 63
35/5 = 7
7 * 9 = 63
Therefore, there are 63 (C) old houses in the city.
18 POINTS
Classify the triangle described below. A triangle with measures of x∘, 4x∘, and 4x∘ is a(n)
A.Right B. Obtuse C. Acute triangle.