Answer:
5.84 x10.^4
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
A bus travels from Station A to Station B, and a truck travels from Station B to Station A on the same road. The speed of the bus is 54 km/h, and the speed of the truck is 48 km/h. After they pass each other, they continue drive to the destinations. Once they reach the destination, they turn around to continue travel along the same road. When they meet again, the bus travels 216 km more than the truck. What is the distance between the two stations in kilometers?
Answer:
The distance between the two train stations is 1728 km
Step-by-step explanation:
The speed of the bus = 54 km/h
The speed of the truck = 48 km/h
When the bus and truck meet again, the distance covered by the bus = 216 km more than he distance traveled by the truck
Let the distance between the two train stations = x
Let the location where they first meet be y from station A we have;
The location where they meet again = y - 216 km
Therefore, we have;
Location where they
The time for the truck and the bus to meet again = t
Therefore, 54 × t - 48 × t = 216 km
6·t = 216 km
t = 36 hours
Therefore, the time for the bus to travel x + 216 km = 36 hours
54 × 36 = 1944 = x + 216
x = 1944 - 216 = 1728 km
The distance between the two train stations = 1728 km.
I will give brainliest to the correct answer!! Find the vertex and the length of the latus rectum. x= 1/2(y - 5)² + 7
Answer:
Vertex =(5,7)
Latus rectum = 2
Step-by-step explanation:
The general equation of a parabola can be expressed as x = a(y-h)²+k where 'a' is a constant and (h,k) is the vertex of the parabola.
Comparing the general equation with the given equation x= 1/2(y - 5)² + 7, it can be seen that a = 1/2, h = 5 and k = 7. Hence the vertex of the equation is (5,7) on comparison.
The length of the latus rectum of a parabola is 4a
On comparing the equation with the general equation, a = 1/2
Length of the latus rectum = 4(1/2)
Length of the latus rectum = 4/2 = 2
Hence the vertex is (5,7) and the length of latus rectum is 2
2. The fraction 84 by 98 in simplest form is
Answer: 6/7
Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7
Answer:6/7
Step-by-step explanation:The greatest common factor of both numerator and denominator is 14.So if you divide 84 by 14 you will get 6 and if you divide 98 by 14 you get 7.
Can someone please help me with this question? The y is throwing me off.
x = 21
y = 8
=========================================================
Explanation:
Since the y is giving you trouble, I recommend ignoring it for now. Luckily we don't need the y value at first.
Let's solve for x.
The two angles (10x-61) and (x+10) form a straight angle which is 180 degrees.
So,
(10x-61) + (x+10) = 180
10x-61 + x+10 = 180
11x - 51 = 180
11x-51+51 = 180+51 .... adding 51 to both sides
11x = 231
11x/11 = 231/11 .... dividing both sides by 11
x = 21
Since x = 21, the upper right angle (10x-61) is equal to
10x-61 = 10*21-61 = 210-61 = 149
-------------
We can now focus on the (18y+5) angle. This is set equal to 149 since vertical angles are congruent
18y+5 = 149
18y+5-5 = 149-5 ... subtracting 5 from both sides
18y = 144
18y/18 = 144/18 .... dividing both sides by 18
y = 8
--------------
Or we could add the angles (18y+5) and (x+10), set them equal to 180, and solve for y like that
(18y+5)+(x+10) = 180
18y+5 + x+10 = 180
18y+5+21+10 = 180 .... plug in x = 21
18y+36 = 180
18y+36-36 = 180-36 ... subtract 36 from both sides
18y = 144
18y/18 = 144/18 .... dividing both sides by 18
y = 8
We get the same result.
--------------
As a check, plugging y = 8 into 18y+5 should lead to 149
18y+5 = 18*8+5 = 144+5 = 149
This confirms the y value answer
find the missing part of the proportion 12/x = 3/7 x= _
Answer:
x = 28
Step-by-step explanation:
12/x = 3/7
Using cross products
3x = 12*7
3x = 84
Divide by 3
x = 28
The graphed system represents the rate at which two trucks are being filled, where x represents the time in minutes and y represents the percentage filled. Which statement is true? A. The solution is nonviable because the percentage filled cannot be negative. B. The solution is nonviable because the time cannot be negative. C. The solution is nonviable because the time cannot be partial minutes. D. The solution is viable.
By reading the graph, we can say that the solution is nonviable because A. the percent filled cannot be negative B. the time cannot be negative.
What is meant by Reading the graph?Reading a graph means interpreting what information is being conveyed by the graph and getting meaningful insights from it.
Learn more about reading the graph here
https://brainly.com/question/24934767
#SPJ2
a symbol used to name one or more parts of a whole or asset or a location on the number line is a
Answer:
Fraction is the answerYou need to prepare 30mL solution of a 1:8 syrup solution. You have on hand 50% syrup solution and a 1:20 soda solution. How many mL of each solution do you need to create the final solution?
Answer:
5 ml of 50% syrup solution will be used to create the final solution
Step by step Explanation:
Let the amount of 50% solution that was used = b
Which means ( 30 - b ) is the amount of 1/200 solution used then we can derive an equation as follows,
set up will then be,
0.5b +0.05(30 -b) = 1/8 (30)
We can simplifiy this as
0.5b+ 1.5 -0.05b = 3.75
Then make b the subject of the formula we have
0.45b = 2.25
b= 2.25/0.45
b = 5 ml
Therefore, 5ml of 50% syrup solution will be used to create the final solution
Ms. Ayala had 152 pencils. She divided the numbers of pencils equally among 13 students. What is the greatest numberof pencils Ms.Ayala could have given each student
Answer:
11
Step-by-step explanation:
she divides the number of pencils equally
so the number of pencils per student is 152/13
which is 11.692...
but she can't give 0.69 of a pencil so she gives only the whole part 11
and she keeps 9 pencils
if a man works 400km in 6 minutes.How long will he work in 9 minutes
Answer:
600 kmStep-by-step explanation:
400 km = x
6 min 9 min
cross multiply:
6x = 400 ( 9)
x = 3600 / 6
x = 600 km
Need help plz on delta math
Answer: The x intercept for Line A is 2 and the x-intercept for line B is -6.
Step-by-step explanation:
Line A uses the equation y = -1/2x + 1 and to find the x intercept y has to be zero so set the equation equal 0 and solve for x.
0 = -1/2x + 1 Subtract one from both sides
- 1 -1
-1 = -1/2x divide both sides by -1/2
x = 2
So the x intercept for A is 2
For Line B it already indicates the x intercept because that is when y is 0. So when y is 0 then x is -6.
What is -13/20 in decimal form
Answer:
-0.65
Step-by-step explanation:
Step 1: Write out fraction
-13/20
Step 2: Evaluate fraction
-13/20 = -0.65
-3 = 7 - BLANK pls tell me what blank is
Answer:
10
Step-by-step explanation:
-3 = 7 - x
Add x to both sides
x -3 = 7 - x +x
x - 3 = 7
Now, add 3 to both sides
x - 3 + 3 = 7 + 3
x = 10
Answer:
[tex]\boxed{10}[/tex]
Step-by-step explanation:
[tex]-3=7- \sf BLANK[/tex]
[tex]\sf Subtract \ 7 \ from \ sides.[/tex]
[tex]-3-7=-7+7- \sf BLANK[/tex]
[tex]-10=- \sf BLANK[/tex]
[tex]\sf Multiply \ both \ sides \ by \ -1.[/tex]
[tex]-10(-1)=(-1)- \sf BLANK[/tex]
[tex]10= \sf BLANK[/tex]
Determine the minimum rotation (in degrees) which will carry the following figure onto itself ( where all sides and verticles will match up). Round to the nearest tenth if necessary.
Answer:
360°
Step-by-step explanation:
The figure is irregular which means it must be completely rotated to have matching sides and vertices. A full rotation is equal to 360°.
s
If point C is between points A and B and AB = 41, AC = 5x, BC = 3x – 7,
what is the value of x?
I NEED HELP ASAP
Answer:
x=6
Step-by-step explanation:
We know that point C is in the middle of point A and point B.
That means that when these two equations are added they should be equal to the length of AB which is 41.
5x+3x-7=41
add 7 to both sides
8x=48
divide both sides by 8.
x=6
First Question The following table shows the length and width of a rectangle: Length Width Rectangle A 4x + 5 3x − 2 Which expression is the result of the perimeter of rectangle A and demonstrates the closure property? A.14x + 6; the answer is a polynomial B.14x + 6; the answer may or may not be a polynomial C.2x + 6; the answer is a polynomial D.2x + 6; the answer may or may not be a polynomial
Answer: A.14x + 6; the answer is a polynomial
Step-by-step explanation:
Since all of the variables have integer exponents that are positive this is a polynomial.
help with math again please
ANSWER:
It is C
NO EXPLANATION
SOMEBODY PLEASE HELP ME ON THIS ; DUE TODAY, i’ll mark u the brainliest
Answer: Angle Addition Postulate
Step-by-step explanation:
According to the angle addition postulate, the measure of an angle formed by two angles side by side is the sum of the measures of the two angles. It is used to evaluate the measure of an angle formed by two or more angles .In the given picture, we have ∠MRO and ∠MRS on line SRO.
So, ∠SRO = ∠MRO +∠MRS [By angle addition postulate]
So the postulate that justify the statement " ∠SRO = ∠MRO +∠MRS" is Angle Addition Postulate.
what is the key term for at most
Answer:
less than or equal to it hope this helps you!
3y=-2x+1593 divide each side by 3
Answer:
y = -2x/3 + 531
Step-by-step explanation:
Jack picks 3 liters of berries in 8 minutes. Jill picks 4 liters of berries in 10 minutes. Working together, how many berries can they pick in 1 minute?
Answer:
they can pick 27 berry's
Step-by-step explanation:
I think-
They can pick 1.29 liters of berries in 1 minute working together.
--------------------------------------------
The together rate is the sum of each separate rate. In this question:
We want to find the together rate.Jack's rate is [tex]\frac{3}{8}[/tex]Jill's rate is [tex]\frac{4}{10}[/tex]--------------------------------------------
Together, they can pick x liters, and the rate is: [tex]\frac{1}{x}[/tex]
Then
[tex]\frac{1}{x} = \frac{3}{8} + \frac{4}{10}[/tex]
[tex]\frac{1}{x} = \frac{15 + 16}{40}[/tex]
[tex]\frac{1}{x} = \frac{31}{40}[/tex]
Applying cross multiplication:
[tex]31x = 40[/tex]
[tex]x = \frac{40}{31}[/tex]
[tex]x = 1.29[/tex]
They can pick 1.29 liters of berries in 1 minute working together.
A similar question is given at https://brainly.com/question/23323624
Find the total surface area.
8 km
4 km
3.9 km
2 km
8 km
Answer:
71.2 km²
Step-by-step explanation:
Triangles: 1/2(8)(3.9)=15.6 (2 of them - front and back)
Base: 8x2=16
Side: 4x2=8
Slant:8x2=16
15.6+15.6+16+8+16=71.2
ASAP PLEASE GIVE CORRECT ANSWER
In a rectangular coordinate system, what is the number of units in the distance from the origin to the point $(-15, 8)$? Enter your answer
distance of a point [tex](x,y)[/tex] from origin is $\sqrt{x^2+y^2}$
so distance is $\sqrt{(-15)^2+(8)^2}=\sqrt{225+64}=\sqrt{289}=17$
Answer:
Distance=17 units
Step-by-step explanation:
Coordinates of the origin: (0, 0)
Coordinates of the point in question: (-15, 8)
Distance formula for any two points [tex](x_1,y_1), (x_2,y_2)[/tex] on the plane:
[tex]distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\distance=\sqrt{(-15-0)^2+(8-0)^2}\\distance=\sqrt{(15)^2+(8)^2}\\distance=\sqrt{225+64} \\distance=\sqrt{289} \\distance=17[/tex]
what is the value of a in the functions equation?
Answer:
y= -2x^2 + 12x -14
Step-by-step explanation:
when I put the points into a graphing calculator this is what I got so I think the answer is -2
Answer:
Step-by-step explanation:
It is -2
PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the function H(t)=−4.9t2+25t+2. What is the height of the ball at each second from 0 to 5? (I'll put a picture of the graph.) 2) Which expression could represent the height of a soccer ball as it is in the air after being kicked? (This is part 2 to question 1) A. −16t+9 B. −16t2+4t3 C. 9t2+25t D. −16t2+25t+1
Answer:
a or b
Step-by-step explanation:
it just looks like b or a
H(t) = -4.9t^2 + 25t + 2
Height is a function of time
plug in 0, 1,2,3,4, and 5 to find the height at 0, 1,2,3,4, and 5 seconds.
at t = 0
H(0) = -4.9(0)^2+25(0) + 2 = 2 meters
Repeat for T=1,2,3,4 and 5
Notice the ball peaks around t = 3 seconds and starts to descend.
H(1) = (-4.9)(1^2) + 25(1) + 2 = 22.1 meters
H(2) = (-4.9)(2^2)+25(2)+2=32.4 meters
H(3) = 32.9 meters
H(4) = 23.6 meters
H(5) = 4.5 meters
Help please!!! Thxxxxx
Answer:
H
Step-by-step explanation:
URGENT PLZ HELP!!! Fill in the blank with the appropriate word. The preserves distances and angles between anchor points on the pre-image so that the image is the same size and shape. Transformations Translation equidistant 90° angle
Answer:
Translation
Step-by-step explanation:
Translations move shapes without changing their side lengths or angles.
Answer:
translation(s)
Step-by-step explanation:
translation(s) mean that you move a shape but not change the lenghts and some,... stuff
Can I name my Angle VTS as STV? And use it interchangeably in proving?
Answer:
both angles are the same, so you can use it interchangeably in proving.
But i suggest you to mantain only one, because it's easier to understand and it looks better.
Can you write a summation notation of a series that is neither arithmetic nor geometric?
Answer:
Yes, we can.
Step-by-step explanation:
Hello, I found this one.
[tex]\displaystyle \sum_{n=0}^{\infty} \dfrac{1}{n!}[/tex]
We can prove that it exists and it is equal to e.
But this is nor arithmetic nor geometric.
Thank you
PLEASE HELP ASAP Given: −3(a–b) > 0, which is the greater: a or b? Give numerical examples. Many thanks!
Answer:
b
Step-by-step explanation:
If a negative number times another number is positive, that means that the other number is also negative because multiplying two negative numbers gives you a positive number. Therefore, a - b must be negative. In order for the difference of two numbers to be negative, the number being subtracted must be bigger than the number it's being subtracted from. For example, in 2 - 7, 7 > 2 but 2 - 7 is negative, the same goes for 3 - 8, 4 - 10, etc. Therefore, b must be greater.
