Answer: If they start running at the same time, then it will take 30 minutes until they complete a lap together.
Step-by-step explanation:
Given: Stephanie can run one lap around a track in 5 minutes. Lisa can run one lap in 6 minutes.
If they start running at the same time, then the time they will take to complete a lap together = LCM (5,6)
prime factorization: 5=5 , 6 =2 x 3
So, LCM(5,6) = 5 x 2 x 3 = 30
Hence, it will take 30 minutes until they complete a lap together.
How to do an equation like this step by step? 4.5 (8 - x) + 36 = 100 - 2.5 (3x + 24)
Answer:
x = -10.6667
Step-by-step explanation:
Solve for x:
4.5 (8 - x) + 36 = 100 - 2.5 (3 x + 24)
4.5 (8 - x) = 36 - 4.5 x:
36 - 4.5 x + 36 = 100 - 2.5 (3 x + 24)
Grouping like terms, -4.5 x + 36 + 36 = (36 + 36) - 4.5 x:
(36 + 36) - 4.5 x = 100 - 2.5 (3 x + 24)
36 + 36 = 72:
72 - 4.5 x = 100 - 2.5 (3 x + 24)
-2.5 (3 x + 24) = -7.5 x - 60:
72 - 4.5 x = -7.5 x - 60 + 100
Grouping like terms, -7.5 x - 60 + 100 = (100 - 60) - 7.5 x:
72 - 4.5 x = (100 - 60) - 7.5 x
100 - 60 = 40:
72 - 4.5 x = 40 - 7.5 x
Add 7.5 x to both sides:
7.5 x - 4.5 x + 72 = (7.5 x - 7.5 x) + 40
7.5 x - 7.5 x = 0:
7.5 x - 4.5 x + 72 = 40
Grouping like terms, 7.5 x - 4.5 x + 72 = (-4.5 x + 7.5 x) + 72:
(-4.5 x + 7.5 x) + 72 = 40
7.5 x - 4.5 x = 3 x:
3 x + 72 = 40
Subtract 72 from both sides:
3 x + (72 - 72) = 40 - 72
72 - 72 = 0:
3 x = 40 - 72
40 - 72 = -32:
3 x = -32
Divide both sides of 3 x = -32 by 3:
(3 x)/3 = (-32)/3
3/3 = 1:
x = (-32)/3
(-32)/3 = -10.6667:
Answer: x = -10.6667
Simplify the expression to a polynomial in standard form:
(x - 2)(x^2 - 2x- 9)
Answer:
x^3-4x^2-5x+18
Step-by-step explanation:
When you distribute (x-2) (x^2-2x-9) you get x^3-2x^2-2x^2+4x-9x+18 combine like terms and you get your answer
Would the answer be 250 ?
What is the name of this shape?
Answer:
octagon
Hope it helps
I am sure about this
Which of the following equations are dimensionally consistent?
(a) x=1/2at2,
(b) t=v/x,
(c) t=(2x/a)1/2
Answer:
A. x = 1/2at²
Step-by-step explanation:
Among the equations, the equation that is dimensionally consistent is x=1/2at² where;
x is the distance in meters (dimension is length (L))
a is the acceleration in m/s² (dimension is L/T²)
t is the time in seconds (s) (dimension of time is T)
Substituting the dimensions into the formula to check if we are going to arrive at the dimension for distance;
1/2at² = 1/2(L/T²)T²
= 1/2× L/T² × T²
= 1/2 × L
Since L which is the resulting dimension is the dimension for distance (x), this means that the equation x = 1/2at² is dimensionally consistent.
If you are given the measurements If two sides of a triangle, what will be true about the triangle you make?
Answer:
You can make infinitely many unique triangles.
Step-by-step explanation:
You aren't given the measure of the angle that the two given sides form, therefore, the two given sides could form any angle greater than 0° but less than 180°. In each different "case", the triangle will be different, hence, the answer is You can make infinitely many unique triangles.
Answer:
you can make infinitely many unique trangles
Step-by-step explanation:
trust em i did it and got it right
True or false 16.-84.-184-284 is an arithmetic sequence?
O True
O False
Answer:
false
plz tell me if im wrong i hope i helped
2 [30- (28-2)] +5
answer with explanation please!
Answer:
13
Step-by-step explanation:
Simplify the following:
2 (30 - (28 - 2)) + 5
Hint: | Subtract 2 from 28.
| 2 | 8
- | | 2
| 2 | 6:
2 (30 - 26) + 5
Hint: | Subtract 26 from 30.
| 2 | 10
| 3 | 0
- | 2 | 6
| 0 | 4:
2×4 + 5
Hint: | Multiply 2 and 4 together.
2×4 = 8:
8 + 5
Hint: | Evaluate 8 + 5.
8 + 5 = 13:
Answer: 13
well first u will solve the numbers in the brackets;
=2 (30-6)+5
=2 (23)+5
then 2 will be multiplied with 23;
=46+5
=51
the answer is 51.
The two pentagons in the sketch below are congruent. Which sequence could transform pentagon GHIJK to pentagon
LMNOP?
-A rotation 90° counterclockwise about the origin followed by a translation 6 units down
-A rotation 90° clockwise about the origin followed by a translation 6 units down
-A rotation 180° clockwise about the origin followed by a translation 6 units down
-A rotation 90° counterclockwise about the origin followed by a translation 6 units up
Answer:
b
Step-by-step explanation:
its b
Answer:
Its B.
Step-by-step explanation:
Incorrect answers will be reported, first correct answer will get brainiest.
Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?
They are commutative, because f(x) and g(x) are constant functions.
They are commutative, because f(g(x)) and g(f(x) are constant functions.
They are not commutative, because f(x) and g(x) are not equal.
They are not commutative, because flg(x)) and g(f(x) are not equal.
Answer:
They are not commutative, because f(g(x)) and g(f(x) are not equal.
Step-by-step explanation:
In order for the composition of the functions to be commutative, we must have ...
f(g(x)) ≡ g(f(x))
for all values of x.
Here, we have f(g(x)) = 1 and g(f(x)) = 2. f(g(x)) and g(f(x)) are not equal, so the composition of the functions is not commutative.
Answer:
D. edg 2022
Step-by-step explanation:
Ana Maria had $28000 to invest. She divided the money into three different accounts
Answer:
If the question is how much she would have in each account the value would be that two would have $9,333 and one would have to be $9,334
Step-by-step explanation:
draw a flat shape that has no straight sides or angles
Answer:
try drawing a circle or an oval
Step-by-step explanation:
There are no edges or corners to a circle, ovals, or semicircles, making it a spherical form. Shapes may be categorized and sorted using these qualities as well as size.
What is a circle?A group of points that are all at the same distance from a fixed point is how it is characterized (called the center of a circle).
Ovals, semicircles, circles, and other closed forms all lack straight lines. Having one curved edge and one straight edge, a semicircle is a closed form.
An oval is a circle that has been flattened such that it resembles an egg or an ellipse: a mirror with an oval shape; a face with an oval shape. Ellipsoidal comparison.
By dividing a circle into two equal halves along the diameter line, a semicircle is created. There is just one line of symmetry in the semicircle, and that is the reflection symmetry. A half-disk is another name for the semicircle.
Thus, the flat shape that has no straight will be ovals, semicircles, and circles.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
Help me and show me how to do it
What is the product of 45 times 32
Answer:
Your answer would be 1440
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
45 times 32 gives you the product of 1440
What is least to greatest 2/3 0.6 -0.4 -3/5
4/5?
Two cyclists begin riding in the same direction at a constant rate, one at 20 km/h, the other at 16 km/h. How long will it take until they are 8 km apart?
Answer:
fdfbsdfb
Step-by-step explanation:
dfgfdg
Answer: It will take 2 hours
Step-by-step explanation:
Zoo tickets for five people cost a total of $41 which equation can be to to tell me the cost see in dollars of each ticket
Answer:
41 divided by 5
$41 divided by 5 people is equal to $8.2 per person
Step-by-step explanation:
What the answer? 8x-(2x-3)=12
Answer:
x= 3/2 or 1.5
Step-by-step explanation:
First of all, you can take out the parenthesis because 8x is subtracting 2x-3.
8x-2x-3=12
6x-3=12
+3 +3
6x= 15
6x/6= 15/6
x= 3/2 or 1.5
Hope this helps!
Which number is not equal to one of the following expressions
Answer:150,000
Step-by-step explanation:
1500×10=15000
150,000÷100=1500
1500÷10=150
So 150,000 is not an answer in one the expressions
Answer:150,000
Step-by-step explanation:
Joey earned $10 for every car he washed on Friday. If he earned $190, how many cars did he wash?
Answer:
19
Step-by-step explanation:
(3x2 - 5x + 6) + (2x2 + 7x - 9)
Which of the following is equivalent to the expression above?
What is the solution to this equation?
5x - 4 + 3x = 36
O A. x = 5
O B. x= 16
O C. x = 4
O D. x = 20
Stacy put 2/5 of her monthly earnings into a savings jar. Then she decided to take 1/4 of the money in the jar to put aside for vacation. If Stacey earned $550 this month,how much money did she set aside for vacation?
Answer:
55
Step-by-step explanation:
First you need to know how much is 2/5 of 550 since that is how much she put in the jar. 2/5 * 550 = 220 and then you need to find a 1/4 of that since that is how much she takes from th jar for vecation. 1/4 * 220 = 55 which is the awnser
how do find the domain and range from a graph, and writing it as an inequality
10x + 36 = 8x -36
What is x?
Answer:
x= -36
Step-by-step explanation:
Hope this helps.
Answer:
[tex]x = -36[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] :
[tex]10x + 36 = 8x - 36[/tex]
-Subtract [tex]8x[/tex] from [tex]10x[/tex] :
[tex]10x - 8x + 36 = 8x - 8x - 36[/tex]
[tex]2x + 36 = -36[/tex]
-Subtract both sides of the equation by [tex]36[/tex] :
[tex]2x + 36 - 36 = -36 -36[/tex]
[tex]2x = -72[/tex]
-Take [tex]2x[/tex] divide it on both sides:
[tex]\frac{2x}{2} = \frac{-72}{2}[/tex]
[tex]x = -36[/tex]
So therefore, the value of [tex]x[/tex] is [tex]-36[/tex].
What is the value of x in the equation 3/2(4x – 1) – 3x = 5/4 – (x + 2)?
i have attached a file you can see it from there.
Is the decimal form of 19/3 a rational number?
Answer:
yes it is because it can be written in fraction form
Find the solution.
1. 20 - (12 - 7) =
Answer:
the answer is 15
Step-by-step explanation:
4 1/3 times b = b = 6b + 10.4
Answer:
The answer is 26b + 45.06667
Factor 5x 4 - 30x 2 - 135. 5(x2 + 9)(x2 - 3) 5(x - 3)(x + 3)(x2 - 3) 5(x - 3)(x + 3)(x2 + 3)
Answer:
Step-by-step explanation:
[tex]5x^{4} -30x^{2} -135[/tex]
We need to pull out 5 to make the rest easier to factor.
[tex]5(x^{4} -6x^{2} -27)[/tex]
Now we can factor.
Consider all combinations of how to get 27.
1 x 27
3 x 9
And that's it before you end up just switching the place i.e. 9 x 3 and 27 x 1
This makes it easy to see that 3 and 9 are our best choice because 9 - 3 is 6 which is our middle term in the equation.
So now we have:
[tex]5(x^{2} -9)(x^{2} +3)[/tex]
We can break down [tex]x^{2} -9[/tex] even further because it's a perfect square.
(x - 3)(x + 3)
Our final factor is
5(x - 3)(x + 3)[tex](x^{2} +3)[/tex]