Answer:
the length would be 410.15m
Step-by-step explanation:
The computation of the length is as follows;
Length = 340m
Let us assume x be train length
Now
the distance traveled by the train is (L + x)
d = L + x
v = 60 km ÷ h
= 16.67 m / s
And,
t = (3 ÷ 4) (60)
= 45s
Now
d = vt
L + x = (16,67) (45)
x = (16,67) (45) - 340m
x = 410.15m
Hence, the length would be 410.15m
If the principle is $4,000 and the rate of interest is 8% (simple interest), what is the amount of interest after one year?
Answer: $320
Step-by-step explanation:
A principal of $4,000 was invested.
The principal increases at a rate of 8% every year by simple interest.
After 1 year the total in the account can be calculated by the formula:
= Principal * ( 1 + rate * time)
= 4,000 * ( 1 + 8% * 1)
= $4,320
Interest:
= Amount after a year - original price
= 4,320 - 4,000
= $320
Rachel has 2/3 pound of snack mix. She eats 5/12 of the snack mix. How much of the snack mix did Rachel eat?
Answer: Racheal ate [tex]\dfrac{5}{18}[/tex] of the snack mix.
Step-by-step explanation:
Given : Rachel has [tex]\dfrac23[/tex] pound of snack mix..
If she ate [tex]\dfrac5{12}[/tex] of the snack mix.
Then, Quantity of snack mix eaten by Rachel = [tex]\dfrac5{12}\times\dfrac23[/tex]
[tex]=\dfrac56\times\dfrac13\\\\=\dfrac{5}{18}[/tex]
Hence, Racheal ate [tex]\dfrac{5}{18}[/tex] of the snack mix.
WILL GIVE BRAINLIEST! In the figure, a∥b and m∠1 = 34°.
What is the m∠5?
Enter your answer in the box.
°
Severely slanted line c diagonally crossing parallel lines a and b (reading from top to bottom). Angles formed by c crossing a are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by c crossing b are labeled five through eight, starting at top right and going counterclockwise.
PLEASE HELP ASAP...
WILL GIVE BRAINLIEST
Answer:
34 degrees
Step-by-step explanation:
Please help! Thank you!
Which of the following is an even function?
f(x) = x1
Of(x) = x2 - 1
Of(x) = -3x
O Rx) = 3/8
Answer:
[tex]f(x) = x^{2} - 1[/tex]
Step-by-step explanation:
The definition of even function is: [tex]f(x) = f(-x)[/tex]
I am going to assume the second option is [tex]f(x) = x^{2} - 1[/tex] and the answer.
[tex]f(x) = x^{2} - 1\\f(-x) = (-x)^{2} - 1 = x^{2}-1[/tex]
Hiii I need help guysss tyyy and also need to plot points TYSM
Answer:
6x+10
Step-by-step explanation:
6 left and go up 10 and thats the point
Please solve the following systems of equations using the elimination method
1. 2x + y =12
-3x + y = 2
2. -2x + 3y = -1
2x + 5y = 25
Which term best describes the graph of y = x - 1
A. Increasing
B. Decreasing
C. Constant
D. Positive
An airplane descends 1.5 miles to an elevation of 6.05.Find the elevation of the plane befor its descent the intial elevation of the plane was blank miles
Answer:
7.55 miles
Step-by-step explanation:
Given that :
Distance of descent = 1.5 miles
New elevation point after descent = 6.05 miles
The initial elevation of the plane before descent will be :
New elevation point after descent + Distance of descent
(6.05 miles + 1.5 miles)
= 7.55 miles
Which point is collinear to points A and D?
where is the blue dot on the number line?
Answer:
The blue dot is on -3.1
Step-by-step explanation:
Answer: The blue dot is -3.21
Write a ratio and a percent for the shaded area.
3/10, 27%
1/2, 50%
1/3, 33.33%
3/10, 30%
PLEASE HELP ME IVE BEEN STUCK BECAUSE I THOUGHT THAT 12/60 WAS 1/5 SIMPLIFIED??
Answer:
1/3, 33.33%
Step-by-step explanation:
The full square is 6x6 which means there are 36 tiles in total. The shaded area is 3x4 which is 12. 12/36 is 1/3 simplified or 33.33%.
Answer:
1/3 and 33.33℅
Step-by-step explanation:
total number of rectangles is 36 and the shaded are 12
so 12/36 =1/3
1/3= 0.3333
to change to percent we multiply by 100
0.3333×100℅ = 33.33℅
What is the slope of a line perpendicular to the line whose equation is x - 3y = -18. Fully reduce your answer.
Given:
Equation of a line is
[tex]x-3y=-18[/tex]
To find:
The slope of the line perpendicular to the given line.
Solution:
The slope of the equation [tex]ax+by=c[/tex] is
[tex]Slope=-\dfrac{a}{b}[/tex]
We have,
[tex]x-3y=-18[/tex]
Here, a=1, b=-3. So, slope of this line is
[tex]m_1=-\dfrac{1}{-3}[/tex]
[tex]m_1=\dfrac{1}{3}[/tex]
Product of slopes of two perpendicular lines is -1.
Let slope of perpendicular line is [tex]m_2[/tex].
[tex]m_1\cdot m_2=-1[/tex]
[tex]\dfrac{1}{3}\cdot m_2=-1[/tex]
[tex]m_2=-3[/tex]
Therefore, the slope of the perpendicular line is -3.
Find the inverse f(x) = 4 – 9x
Answer:
[tex]-\frac{x-4}{9}[/tex]
Step-by-step explanation:
Replace x with f(x)
solve for f(x)
Sam jogs every 2 days. He does Pilates every 3 days. Suppose Sam jogs and does Pilates on October 1. What are the next three dates on which he will jog and do Pilates?
Answer:
October 7, October 13, 0ctober 19
Step-by-step explanation:
Jog = every 2 days
Next days from October 1 = October 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31
Pilates = every 3 days
Next days from October 1 = October 4, 7, 10, 13, 16, 19, 22, 25, 28, 31
What are the next three dates on which he will jog and do Pilates?
= October 7, October 13, 0ctober 19
The next three dates on which he will jog and do Pilates are October 7, October 13, 0ctober 19
Taiga wants to make a circular loop that she can twirl around her body for exercise. He will use a tube that is 2.5 meters long. Estimate the diameter of Taiga's exercise hoop? Round your answer to the nearest thousandth of a meter.
Answer: 0.796 meters
Step-by-step explanation:
Circumference of circle = [tex]2\pi r[/tex] , where r=radius
Here, Circumference of loop = 2.5 meters
i.e. [tex]2\pi r=2.5[/tex]
[tex]\Rightarrow\ r=\dfrac{2.5}{2\pi}[/tex]
[tex]\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m[/tex]
Diameter = 2r = 2(0.398) = 0.796 meters
Hence, The diameter of Taiga's exercise hoop = 0.796 meters
help me i need a 3/3
Answer:
4.65
Step-by-step explanation:
144.15/31=4.65
What is the unit rate for 21 3/4 and 2 1/2
Answer:
I think it is 19 1/4
Step-by-step explanation:
How I got this was I took 21 3/4 and subtracted 2 1/2 which gave me 19 1/4.
Hope this is right and helps.
Missy makes punch for a party. She uses 3 1/2 cups of water, 2 3/4 cups of frozen pineapple juice. Approximately how many liters of punch does this recipe make. (1 Litter = 4.23 cups)
A. 0.423 L
B.42.3 L
C.2.63 L
D.1.42 L
Answer:
D
Step-by-step explanation:
3.5 + 2.75 = 6.25
6.25/4.23 = 1.42 L
Approximately 1.48 liters of punch does this recipe make.
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, Missy makes punch for a party. She uses 3 1/2 cups of water, 2 3/4 cups of frozen pineapple juice.
∴ The total volume of the punch is ([tex]3\frac{1}{2} + 2\frac{3}{4}[/tex]) = 7/2 + 11/4 = (14 + 11)/4 = 25/4
cups of punch.
Now, 1 liter is 4.23 cups.
∴ 25/4 or 6.25 cups is (6.25/4.23) = 1.48 liters.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
5x-2y=12
6x+2y=32
find the solution
Answer:
(4,4)
Step-by-step explanation:
There are two ways that you can solve this. You can solve it with the help of technology or you can solve it traditionally. I will show how to do it in both ways so you can pick which way you want to solve it.
Traditional Method:
5x - 2y = 12
6x + 2y = 32
Look at the variables and numbers in both equations. One of them has to be the same value but have to have opposite signs. The 2y in both equations are the same value but have different signs. That's what we want. We can add everything in the equation now. (5x + 6x), (-2y + 2y), and (12 + 32).
11x = 44
To get x alone, Divide each side by 11. Then we will get the value of x.
11/11x = 44/11
x = 4
Horray! We got x, but what about y? Pick one of the equations. I will go with 5x - 2y = 12. Substitute the x value inside the equation.
5(4) - 2y = 12
20 - 2y = 12
-2y = -8
y = 4
Good! We figured out y. Now we know the solution! The solution is (4,4).
Technology Method:
Grab a graphing calculator. Enter the equations. You will see two lines. Look at where they intersect. The point where they intersect is the solution. That line is (4,4). You could also do this on a piece of paper by graphing the equations.
I hope this helps! Let me know if you need any more help or if I got anything wrong.
work out the value of angle x.
and give a reason for your answer.
pls help!
Answer:
60°
Step-by-step explanation:
Since, all sides of the given triangle are marked with identical signs.
So, measures of all sides are equal.
Therefore, it is an equilateral triangle.
Measure of each angle of an equilateral triangle is 60°.
So, x = 60° ( Alternate angles)
Can you guys help me find 1/3 + 5/6 please!
Answer:
7/6
Step-by-step explanation:
1/3=2/6
2/6+5/6=7/6
Answer:1.16666666667
Step-by-step explanation:
Can someone help me plz and thank u
Answer:
<A = 44
Step-by-step explanation:
A triangle is 180 degrees
(x+59) + (x+51) + 84 = 180 >> add everything on the left side
2x + 194 = 180 >> subtract both sides by 194
2x = -14 >> divide both sides by 2 to get x alone
x = -7
since you are finding A<, substitute
<A = x + 51
<A = (-7) + 51
<A = 44
question is in picture
Answer:
6
Step-by-step explanation:
the first thing I did to smome but you know 5AM was a l
ABCD is a parallelogram. If side AB = 5x + 7, side BC = 8x - 12, and side CD = 7x - 9, find the value of x.
Answer:
8cm
Step-by-step explanation:
AB = CD
5x+7 = 7x-9
2x = 16
someone help pleasee
Answer:
Option (3)
Step-by-step explanation:
If the sides of a triangle are unequal then the measure of sides opposite to these angle will be in the order from least to greatest.
In ΔABC,
m∠CAB = 180°- (m∠B + m∠C)
= 180° - (25° + 27°)
= 180° - 52°
= 128°
Since, ∠CAB > ∠ABC ∠ACB
Therefore, a > b > c ---------(1)
Now from ΔADB,
m∠BAD + m∠ADB + m∠DBA = 180°
32° + m∠ADB + m∠35° = 180°
m∠ADB = 180° - 67°
= 113°
Since, m∠ADB > m∠DBA > m∠BAD
Therefore, c > d > e -------(2)
Combining both the inequalities,
a > b > c > d > e
Option (3) will be the answer.
What is the domain of this function?
(8,8)
(2, 19)
(0,9)
(-12, 19)
Answer:
The domain is -12, 0, 2, 8.
Step-by-step explanation:
The domain is the set of all possible x-values. The x-values are the first numbers in a point.
plz help asap i will give you brainlist
Guina made a scale drawing of a window she is making for her house.
1 centimeter = 3 inches. Triangle A B C. Side A is 4 centimeters, side B is 3 centimeters, and side C is 5 centimeters.
Which proportion could Guina use to find the length of side B?
StartFraction 1 centimeters over 3 inches EndFraction = StartFraction 3 centimeters over x centimeters EndFraction
StartFraction 3 centimeters over 1 centimeter EndFraction = StartFraction x centimeters over 3 centimeters EndFraction
StartFraction 1 centimeter over 3 inches EndFraction = StartFraction 3 centimeters over x inches EndFraction
StartFraction 3 inches over 3 centimeters EndFraction = StartFraction x inches over 1 centimeter
Answer:
Proportion: 1/3=3/x
Step-by-step explanation:
The "1/3" proportion is telling us how the scale measurement relates to the real measurement.
The "3/x" describes the length of side B.
Now it is easy to figure out the answer! :D
Hope it helped!
Answer:
c
Step-by-step explanation:
i took the test mark brainlest if right
(4-8)( 12, 8)
Write the equation of a line using slope intercept form
Answer:
y=2x-16
Step-by-step explanation:
so gradient is 8-(-8)/ 12-4
so 16/8 which is 2
equation of line is: y= 2x+c
substitute the values into x,y
8=2(12)+c
8=24+c
8-24=c
-16= C
this is because when it goes over the equal sign it becomes negative so now the equation is y=2x-16
Answer:
Y=2x+16
Step-by-step explanation: