A train travels from point A to B at a speed of 100km/h. how long it will take to travel 25 km
Answer:
Step-by-step explanation:
25 km / 100 km/hr = 0.25 hr or 15 minutes
It will take 0.25 hours to travel 25 km.
Given
A train travels from point A to B at a speed of 100km/h.
Distance;
Distance is defined as the product of speed and time.
The following formula is used to calculate the time;
[tex]\rm Time =\dfrac{Distance}{Speed}\\\\[/tex]
Substitute all the values in the formula;
[tex]\rm Time =\dfrac{Distance}{Speed}\\\\\rm Time =\dfrac{25}{100}\\\\Time = 0.25 \ hours[/tex]
Hence, it will take 0.25 hours to travel 25 km.
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The local movie theater, Scene It Cinema, had a special showing of the latest dinosaur movie. There were 6 youth tickets sold for every 5 adult tickets sold.
If there were 70 adult tickets sold, how many movie tickets were sold altogether?
Answer:
Let the youth and adult tickets be y and x respectively.
6y + 5x ---> (1)
From statement (1):
(1) × 14
84y + 70x
For every 70 adult tickets sold, 84 youth tickets were sold.
Total number of tickets sold= 70 + 84
= 154
The next number in the arithmetic sequence 15, 22, 29, is:
A) 34
B) 35
C) 36
D) 37
The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The other has a purchase price of $369 and an estimated yearly operating cost of $9. Which TV should the Gordons buy if they plan to keep it for 8 years
what is 345.543 multyply by 46.34 devide by 666.89 ???? help faster 3 minutes remaining
Answer:
24.010
Step-by-step explanation:
hope it helps
please help me somebody will
Answer:
66/54
Step-by-step explanation:
solve each system of linear equations 3x+y=9, 7x+y=32
Answer:
x=23/4, y=-33/4
Step-by-step explanation:
3x+y=9
7x+y=32
3x+y=9
y=9-3x
7x+y=32
7x+(9-3x)=32
7x+9-3x=32
4x+9=32
4x=23
x=23/4
3x+y=9
3(23/4)+y=9
69/4+y=9
y=-33/4
The solution set to the given system of linear equations is -
{x} = 5.75 and {y} = - 8.25.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a system of linear equations as -
3x + y = 9
7x + y = 32
We can write -
3x + y = 9
y = 9 - 3x
Now, we can write the equation as -
7x + y = 32
7x + 9 - 3x = 32
4x + 9 = 32
4x = 23
x = 5.75 .... (1)
The, we can write {x} as -
y = 9 - 3 x 5.75
y = 9 - 17.25
y = - 8.25 ... (2)
Therefore, the solution set to the given system of linear equations is -
{x} = 5.75 and {y} = - 8.25.
To solve more questions on algebraic expressions, visit the link below -
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Compound interest compounded quarterly is given every ______ months. *
1 point
1
3
6
Compound interest compounded semiannually is given every ___ months. *
1 point
1
3
6
The algebraic equation for interest is______. *
1 point
y=mx+b
e=mc2
i=prt
Principal $2000, rate 3.1%, 2 months, compounded monthly. Calculate the balance at the end of 2 months. *
1 point
$2010.35
$2025.62
$2003.10
What is your favorite Christmas cookie? *
1 point
chocolate chip
sugar cookie
peanut butter
other
Calculate the simple interest earned: principal $1000, rate 4%, 7 days *
1 point
$10.00
$0.77
$23.33
How is compound interest similar to a snowball rolling down a snow covered hill? *
1 point
The interest rate used to calculate earned interest is represented as a percent. True or False *
1 point
True
False
First name *
Given the same principal, rate and time which investment calculation would earn less? *
1 point
simple interest
compound interest
Last name *
Which word refers to the money deposited into an interesting bearing account ? *
1 point
cash
principal
bling
Answer:
3 months, 6 months, interest is 1 point or 0.01 for every percent, 2010.35, peanut butter but why is this a question, 0.77, It is similar to a snowball because as time goes on the account grows at the same percent but it is more money so it is a larger amount. This is very common in dividend investing. next question, yes it is a percent, simple because compound is always more or the same, I would say principal but I am not sure
Step-by-step explanation:
what is the slope of the line of (4,6) and (-16,-18)
Hi!
To solve this, we simply use the equation shown in the image below:
What this means is the change in y over the change in x.
We use the two points and plug them in the equation like so:
[tex]\frac{6 - - 18}{4--16} =\frac{6+18}{4+16} =\frac{24}{20} =\frac{6}{5}[/tex]
Therefore your answer is [tex]\frac{6}{5}[/tex].
Hope this helps! Have a fantastic day! :D
Let me know if you need any other help.
Write an inequality to represent the graph.
у
(0, 2)
-3
- 2 - 1
7
8
9
10
0
-1
5 6
(4,-1)
-2
-3
-4
-5
-6
Answer:
The answer is i think(4,1)
Step-by-step explanation:
HELP ME OUT PLEASE!!!
What is the equation of this line?
Answer: THe Second answer is the correct one
Step-by-step explanation:
Answer:
y = 3x-2
Step-by-step explanation:
What is the largest integer whose cube is less than 10,000?
Answer:
8 512 =8 X 8 X 8
Step-by-step explanation:
PLEASE HELP! WILL MARK BARINLIEST IF ANSWER CORRECTLY (Screenshot)
Answer:
14
Step-by-step explanation:
3+3+4+4 = 14
(b) Find the sum of first twenty terms of the following arithmetic progressions A.P
(i) -4,-1, 2,...
(ii) 2, 3, 5,...
(iii) -2, -5, -8, -11,...
Answer:
-4*20+3*190=490
2*20+190=230
-2*20-3*190=-610
Solve: 6 − x = −12
helpppppppppppp quickkk
Answer:
x = 18
Step-by-step explanation:
6 − x = −12
subtract 6 from both sides
- x = - 18
divide both sides by -1
x = 18
Answer:
x=18
Step-by-step explanation:
6 - x = -12
-6 -6
----------------
-x = -18
*divide by -1*
x = 18
hope this helps! :D
have a MIRACULOUS day!! <3
Which graph represents the function?
Answer:
I believe it's the middle graph. since their is a closed dot on the first line and the other 2 inequality symbols indicate that their are 2 open dots, I think the middle is correct
You are on level ground in the late afternoon. The Sun is at angle of elevation of 17 degrees. A tree casts a 206-foot long shadow feet. What is the height of the tree in the nearest foot
[tex]\\ \sf\longmapsto tanC=\dfrac{AB}{BC}[/tex]
[tex]\\ \sf\longmapsto tan17=\dfrac{AB}{206}[/tex]
[tex]\\ \sf\longmapsto AB=0.3(206)[/tex]
[tex]\\ \sf\longmapsto AB=61.8ft[/tex]
HELPPPPP PLSSSSSSSSSSSSSSS
Answer: $54.66
Step-by-step explanation:
The 18% turns into 0.18, they mean the same thing.
46.32 * 0.18 = 8.34 (Unsimplified answer: 8.3376)
Add tip to the cost.
46.32 + 8.34 = 54.66
Correct me if it is incorrect.
If 23 is added to a number, the result is 41 less than twice the number.
Answer:
x + 23 = 2x - 41
Step-by-step explanation:
I'm not too sure how to explain the correctness of the answer but I know that it's:
x + 23 = 2x - 41
I can write an equation
Answer: y = -x + 2
Step-by-step explanation:
If you are familliar with the point-slope form this is very helpful
Point-slope:
[tex]y-y_1=m(x-x_1)[/tex]
Plug in our values of [tex]m = -1, y_1=-1,x_1=3[/tex] to get:
[tex]y-(-1) = -1(x-3)[/tex]
Simplify
[tex]y+1=-x+3[/tex]
[tex]y=-x+2[/tex]
Mark’s birthday is 32 weeks away. How many days until his birthday?
7x+6-2x=12x-7+2
Solve for x
Answer:
x = 11/7
Step-by-step explanation:
[tex]7x+6-2x=12x-7+2\\\\5x+6=12x-5\\\\5x+6-5x=12x-5-5x\\\\6=7x-5\\\\6+5=7x-5+5\\\\11=7x\\\\\frac{11}{7}=\frac{7x}{7}\\\\\frac{11}{7}=x[/tex]
13. The function y = 40(x - 1) + 70 can be used to determine the cost in dollars
for renting a trampoline park for a birthday party for x hours. What is the rate of
change of the cost in dollars to rent the trampoline park with respect to time?
A
$30 per hour
$40 per hour
B
с
$60 per hour
D
$110 per hour
Step-by-step explanation:
the function actually is
y = 40(x - 1) + 70 = 40x - 40 + 70 = 40x + 30
still, the slope (the factor of x) is 40.
that means y (the cost) increases by 40 for every additional hour (x increases by 1).
so, the rate of change (slope) is 40/1 = $40 per hour.
Help me with these worksheets pls
Anything would help BUT PLS ANSWER IT CORRECTLY, If you don't know, just IGNORE THIS AND DON'T JUST COME FOR THE POINTS.
Answer:
1. yes
2.no
3.yes
4.no
5.yes
Convert 27 inches to feet in dimensional analysis .
Answer:
2.25 feet.
Step-by-step explanation:
Formula: divide the value in inches by 12 because 1 foot equals 12 inches.
So, 27 inches = 27 /12 = 2.25 feet.
This is an urgent matter! Please help!
Answer:
the answer is c a increasing line
help. i need itttttt
Answer:
In a parallelogram, opposite sides are the same length. If PR = ST, then the same would happen for the other sides.
Step-by-step explanation:
Complete the point-slope equation of the line through -8,1 and -6,5
Answer:
y+1=3(x+8)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-1))/(-6-(-8))
m=(5+1)/(-6+8)
m=6/2
m=3
y-y1=m(x-x1)
y-(-1)=3(x-(-8))
y+1=3(x+8)
Janessa recently increased the size of his Jeep tires from the original P230/85R18 to the larger P250/85R21. If Janessa didn’t recalibrate her odometer, how far did she really travel on the new tires when her odometer shows she has traveled 23425 miles?
The distance Janessa traveled on the new tires with the given size is 26,470.25 miles.
The given parameters:
Original size of the tire, = P230/85R18The width of the smaller tire, = 230 mmAspect ratio, = 85%Larger size of the tire, = P250/85R21The width of the larger tire, = 250 mmAspect ratio, = 85%Reading of the odometer = 23,425 milesThe diameter of the smaller tire is calculated as follows;
[tex]0.85 = \frac{h}{230} \\\\h = 0.85 \times 230 \\\\h = 195.5 \ mm\\\\h = 195.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 7.7 \ in[/tex]
diameter of the smaller tire;
D = 2(7.7 in) + 18 in
D = 33.4 in
The circumference of the smaller tire;
[tex]C_1 = \pi D\\\\C_1 = 3.142 \times 33.4 \\\\C_1 = 104.94 \ in[/tex]
The diameter of the larger tire is calculated as follows;
[tex]0.85 = \frac{h}{250} \\\\h = 0.85 \times 250 \\\\h = 212.5 \ mm\\\\h = 212.5 \ mm \times \frac{1 \ in}{25.4 \ mm} \\\\h = 8.37 \ in[/tex]
diameter of the larger tire;
D = 2(8.37 in) + 21 in
D = 37.74 in
The circumference of the larger tire;
[tex]C_2 = \pi D\\\\C_2 = 3.142 \times 37.74 \\\\C_2 = 118.58 \ in[/tex]
After one rotation, the larger tire will travel the following distance more than the smaller tire;
[tex]n = \frac{C_2}{C_1} = \frac{118.58}{104.94} = 1.13[/tex]
The distance Janessa traveled on the new tires when her odometer shows she has traveled 23425 miles;
[tex]distance = 1.13 \times 23,425\\\\distance = 26,470.25 \ miles[/tex]
Learn more about tire sizes and distance traveled: https://brainly.com/question/4822144
Lucas is walking on a circular path modeled by the equation (x + 8)^2+ (y - 3)^2= 64 and Noal is walking on another circular path modeled by the equation (x - 10)^2 + (y - 3)^2= 100, where their
distances are given in meters. What is the maximum distance between the walkers at any given time?
18 meters
21 meters
36 meters
40 meters
pls help guys
The maximum distance between the walkers at any given time is (a) 18 meters
Lucas' equation on the circular path is given as:
[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]
Noah' equation on the circular path is given as:
[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]
The equation of a circle is represented as:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex]
Where:
Center = (a, b)Radius = rSo, we rewrite both equations as follows:
[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]
[tex](x + 8)^2 + (y - 3)^2 = 8^2[/tex]
[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]
[tex](x - 10)^2 + (y - 3)^2 = 10^2[/tex]
The radii of both equations are:
[tex]r_1 = 8[/tex]
[tex]r_2 = 10[/tex]
The maximum distance between the walkers at any given time is the sum of the radii
[tex]r = r_1 + r_2[/tex]
So, we have:
[tex]r = 8 + 10[/tex]
This gives
[tex]r = 18[/tex]
Hence, the maximum distance between the walkers at any given time is (a) 18 meters
Read more about circle equations at:
https://brainly.com/question/1559324
Answer:
36 meeters
Step-by-step explanation:
trust me bro