Yes, Xavier have enough track for a train with 15 cars because the cars will take up 2.4 meters, leaving them with an extra .1 meters of length.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometres, or feet, or any other measure of length.
Given that, Xavier is building a model train. He has enough track for a train that is 2.5 meters long. We need to find if Javier have enough track for a train with 15 cars or not if each car will be 16 centimetres long
The length of each car is 16 cm
Therefore, length of 15 cars = 16 × 15 = 240 cm
Converting the units,
240 cm = 2.4 m
Since, The train is 2.5 m long, and he has enough track for it.
Hence, Yes, Xavier have enough track for a train with 15 cars because the cars will take up 2.4 meters, leaving them with an extra .1 meters of length.
For more references on unit conversion, click;
https://brainly.com/question/19420601
#SPJ5
Event A: lands on yellow.
Event B: lands on green.
Events A and B are a0 events.
Answer:
1/16
Events A+B are written (P) yellow : 1/4 * (P) green : 1/4
Ao event = (P) 1/4 * 1/4 = 1/16
Step-by-step explanation:
The probability of event A and event B is 1/16.
We have given that,
Event A: lands on yellow.
Event B: lands on green
Events A+B are written
yellow(P) = 1/4 * (P) green= 1/4
What is the meaning of probability?
Probability is defined as the likelihood of something occurring or the chance of something happening.
Ao event (P)=1/4 * 1/4
Event = 1/16
Therefore the probability of event A and event B is 1/16.
To learn more about the probability visit:
https://brainly.com/question/25870256
#SPJ2
CAN 10/12 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
CAN 7/16 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
CAN 2/9 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
CAN 1/8 BE REPLACED WITH 1/2 WHILE ESTIMATING? YES OR NO
Answer:
No
Yes
No
No
Step-by-step explanation:
Which of the following is a characteristic of hyperbolic geometry?
A. There are an infinite number of lines parallel to a given line
through a given point.
B. There is exactly one line perpendicular to a given line through a
given point.
C. There is exactly one line parallel to a given line through a given
point.
D. There are an infinite number of lines perpendicular to a given line
through a given point.
Answer:
A
Step-by-step explanation:
Hyperbolic geometry is defined as a non-Euclidean geometry.
(invalidating the fifth postulate of Euclid's five fundamental postulates)
Choice B and D can be eliminated because this has nothing to do with perpendicular lines.
Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates
We are left with A by the process of elimination
Answer:
A. There are an infinite number of lines parallel to a given line through a given point.
Hope this Helps!
Lance is tracking the progress of his plant's growth. Today the plant is
5 cm high. The plant grows 1.5 cm per day. Which equation below
represents the height of the plant (h) after d days?
Answer:
h = 5 + 1.5d
Step-by-step explanation:
Determine whether these two triangles are congruent with the ASA congruence method. If so, write the congruence statement. answers: A) ΔFED ≅ ΔGFE B) ΔDEF ≅ ΔGEF C) The triangles aren't congruent using ASA. D) ΔDEF ≅ ΔGFE
Answer:
D) ΔDEF ≅ ΔGFE
Step-by-step explanation:
For ASA to be used, 2 angles and their included side must be congruent. ∠F ≅ ∠E because of the markings, ∠E ≅ ∠F because all right angles are congruent, and side FE ≅ EF because they are aligned with each other. 2 angles and their included side are congruent.
As for the congruence statement, D is the right answer because ∠D ≅ ∠G, ∠E ≅ F, and ∠F ≅ ∠E.
I hope this helps :))
ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.
Given that,
Two triangles are given with a common side EF whose alternate interior angles are also equal .i.e ∠E = ∠F and also are of 90° in ΔDEF and ΔGFE respectively.
Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
What is congruent geometry?In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
In ΔDEF and ΔGFE
∠DEF = ∠GFE (both are of 90°)
EF = EF (common side)
∠DFE = ∠GEF (alternate interior angle)
Hence ΔDEF ≅ ΔGFE are congruent by ASA.
Thus, ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.
Learn more about similar triangles here:
brainly.com/question/25882965
#SPJ5
do supplementary angles form right angles? yes or no
Answer:
Yes i
Step-by-step explanation:
A supplementary angle can be two angles that sum up to 180 if you want you can have 2 angles that are 90 degrees that add up to 180 so therefore that would make a right angle.
A linear function has a graph in the shape of a 1____. A non-linear function 2_____ have the same value added to or subtracted from the dependent variable.
1. A. U
B. S
C. Line
2. A. Does
B. Does not
Answer :
A linear function has a graph in the shape of a line
A non-linear function does not have the same value added to or subtracted from the dependent variable
Step-by-step explanation:
A linear function is any function that graphs to a straight line.
So, The shape of linear graph is straight line .
1) A linear function has a graph in the shape of a ____
Answer : C . Line
Thus A linear function has a graph in the shape of a line
A nonlinear function is a function that is not linear. That is, for a fixed change in the independent variable, there is NOT a corresponding fixed change in the dependent variable
Non-linear means the graph is not a straight line. The graph of a non-linear function is a curved line.
2) A non-linear function 2_____ have the same value added to or subtracted from the dependent variable
Answer B : Does not
Thus A non-linear function does not have the same value added to or subtracted from the dependent variable
a) Form an inequality in terms of x
b) Solve the inequality to find the possible width of the field
Answer: x<6m+4yt
Step-by-step explanation:
Write (2y^2)^3 without exponents.
Answer:
Step-by-step explanation:
(2y²)³=2³×y^6=8y^6
=8×y×y×y×y×y×y
Why do some quadratic graphs move left or right and others do not? Is there a correlation between this and them moving up and down? How would you demonstrate your reasoning is correct?
Answer:
(x + 3)^2 is left 3 because it becames 0 at -3
(x - 3)^2 is right 3 because it becames 0 at 3
x^2 +3 is up 3 because your just adding 3 units up
x^2 - 3 is down 3 because your just subtracting 3 units down
Step-by-step explanation:
A chemist is adding pure (100%) acid to a 12 liter solution that is 15% acid in order to increase it to 49% acid. How much pure acid must she add?
How many ounces of 35% ethanol must be added to a 23 ounce mixture that contains 26% ethanol in order to obtain a mixture of 30.86% ethanol?
How many liters of 30% acid must be added to 10 liters of 53.66% acid in order to obtain a mixture that is 43% acid?
Answer:
1) 8 liters of pure acid
2) 27 liters of 35% ethanol
3) 8.2 liters of 30% acid
Step-by-step explanation:
The inicial amount of acid is 15% of 12 L, and the inicial volume is 12L.
Adding 'x' L of 100% acid, we have the amount of acid equal to 12 * 0.15 + x * 1, and the volume of 12 + x. The concentration is the amount of acid over the volume, so we have that:
(12*0.15 + x) / (12 + x) = 49/100
(1.8 + x)*100 = (12 + x) * 49
180 + 100x = 588 + 49x
51x = 408
x = 8 liters of pure acid
Similar to the solution above, for the second question we have:
(23*0.26 + 0.35*x) / (23 + x) = 30.86/100
(5.98 + 0.35*x)*100 = (23 + x) * 30.86
598 + 35x = 709.78 + 30.86x
4.14x = 111.78
x = 27 liters of 35% ethanol
For the third question, we have:
(10*0.5366 + 0.3*x) / (10 + x) = 43/100
(5.366 + 0.3x)*100 = (10 + x)*43
536.6 + 30x = 430 + 43x
13x = 106.6
x = 8.2 liters of 30% acid
What is the answer for this for a graph 3j>6
First divide both sides of the inequality by 3.
On the left, the 3's cancel and you're left with j
and on the right, 6 divided by 3 is 2.
So we have j >2 which is the solution to this inequality.
I have graphed the inequality for you below.
Start with an open dot on 2.
We use an open dot because j > 2 but it is not equal to 2.
Then draw an arrow to the left to
represent all numbers greater than 2.
Factor 4x2 - 16 using difference of two squares.
Answer:
4(x+2)(x-2)
Step-by-step explanation:
4x^2-16
4(x^2-4)
4(x+2)(x-2)
The difference of two squares formula is (a+b)(a-b), and it happens only when a^2 is minus b^2
A truck can be rented from Company A for $120 a day plus $0.70 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
200 miles
Explaination:
in order to fiind the point of interaction you must put the world problem into an liner equation.
y=mx+b
key:
miles : x
y= 0.70x + 120
&
y= 0.90x + 80
now you put them together
0.70x + 120 = 0.90x + 80
-0.70x. -0.70x
____________________ subtract slope from both sides
120 = 0.20x + 80. ( doesn't matter which one)
-80 - 80
____________________ subtract
40 = 0.20x
_________ Divide each # with the slope
0.20 0.20
200 = x
hope this helps!
What is the perimeter of ΔWXY? 11.57 cm 12.22 cm 12.46 cm 14.50 cm
°ω°
Answer:
the answer is 14.50 cm
Step-by-step explanation:
i took the test, and found this answer by multiplying the given information: 2.93, 2.04, and 2.28 by 2 and then adding them together. that will then give you 14.5. i did it this way because we are dealing with midsegments in this problem. this is just my way of doing it. have a great day!
Answer:
D. 14.50 cm
Step-by-step explanation:
Solve this inequality.
8x + 6 < 54
A. x < 6
B. x < 7.5
C.x < 14
D. x < 384
Answer:
x < 6
Step-by-step explanation:
8x + 6 < 54
Subtract 6 from each side
8x+6-6 < 54-6
8x < 48
Divide each side by 8
8x/8 < 48/8
x < 6
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You
pick a ball from the hat at random and then you flip a coin. Using a tree diagram, obtain the sample space for the
experiment.
Question Progres
izzes
Answer:
coin: ball:
1
head -- 6
7
1
tail -- 6
7
The required Sample space = {(h, 1), ( h, 6) (h ,7 ), ( t, 1 ), ( t, 6 ), ( t, 7 )}.
Given that,
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, To obtain the sample space.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
a coin has 2 sample space = {H , T}
H = head and T = tail
a hat with three balls has sample space {1, 6, 7}
Now, a ball picks from the hat at random and then flips a coin
Sample spaces
H T
----------------- ---------------
1 6 7 1 6 7
Implies
Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}
Thus, the required Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
Simplify expression. Use the distributive property. :)
14-2(4x+3y)
someone pls help mee
Answer:
-1/2
Step-by-step explanation:
The formula for slope is: y1-y2/x1-x2
The points given are: (x coordinate, y coordinate)
In the formula,
y1 is the y coordinate of the first point
y2 is the y coordinate of the second point
x1 is the x coordinate of the first point
x2 is the x coordinate of the second point
This said, we can plug our points in.
5-(-1)/-3-9
Simplify.
5+1/-12
6/-12
Divide both the numerator and denominator by -6.
-1/2
Please help me quick!!!!!!!!!!!!!!!!!
Answer:
a. Yes, the evidence supports the hypothesis
Step-by-step explanation:
The evidence supports the hypothesis because it say that "the GREATER the HEIGHT from which you drop a ball ,the FASTER the ball will be traveling when it hits the ground because of gravity and you claimed that the ball dropped from a height of 6 feet has a higher speed than a ball dropped from a height of 3 feet. hope this help! :D
Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth . Help please because it says 209.22 is not the answer
question in attachment
Answer:
a₁ = 3
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
Here [tex]S_{6}[/tex] = 189 and r = 2, thus
[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is
a₁( 64 - 1) = 189
63a₁ = 189 ( divide both sides by 63 )
a₁ = 3
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is x, the length of D C is 4 x, and the length of B D is 10. What is the value of x? 2 units 3 units 5 units 8 units
Answer:
5 units
Step-by-step explanation:
see the picture
Answer:
The answer is 5 units
Step-by-step explanation:
Which of the following could be a solid of revolution?
(A) pyramid
(B) Rectangular prism
(C) sphere
(D) Cube
Answer:
I think it (B) a rectangle prism not to sure tho
Kareem has a pencil that is 13.5 centimeters
ong and a crayon that is 87.5 millimeters
ong. How many millimeters longer is
the pencil than the crayon?
(1 centimeter = 10 millimeters)
47.5 millimeters longer
The pencil is 47.5 millimeters longer than the crayon.
To find out how many millimeters longer the pencil is than the crayon, we need to convert the length of the pencil from centimeters to millimeters and then subtract the length of the crayon.
Given that length of the pencil = 13.5 centimeters
Length of the crayon = 87.5 millimeters
To convert centimeters to millimeters, we use the conversion factor: 1 centimeter = 10 millimeters.
So, the length of the pencil in millimeters is:
13.5 centimeters × 10 millimeters/centimeter = 135 millimeters
Now we can calculate the difference in length between the pencil and the crayon:
Length of the pencil - Length of the crayon = 135 millimeters - 87.5 millimeters
Subtracting the lengths, we find that the pencil is:
135 millimeters - 87.5 millimeters = 47.5 millimeters longer than the crayon.
Therefore, the pencil is 47.5 millimeters longer than the crayon.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
What is the solution to the equation 1/4x +2= -5/8x - 5
Answer:
x = -8
Step-by-step explanation:
1/4x +2= -5/8x - 5
Add 5/8x to each side
1/4x +5/8x +2= -5/8x+5/8x - 5
1/4x+5/8x +2= - 5
Subtract 2 from each side
1/4x+5/8x +2-2= - 5-2
1/4x+5/8x = - 7
Get a common denominator
1/4 *2/2 x + 5/8x = -7
2/8x + 5/8x = -7
7/8x = -7
Multiply each side by 8/7
8/7x * 7/8x = -7 *8/7
x = -8
Answer:
x=-8
Step-by-step explanation:
1/4x+2=-5/8x-5
find l.c.m=8
multiply through by l.c.m which is 8
x/4×8+2×8=-5x/8×8-5×8
2x+16=-5x-40
2x+5x=-40-16
7x=-56
divide both sides by 7
7x/7=-56/7
x=-8
distance between (2,3) and (6,8)
Answer: [tex]\sqrt{41}[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(6-2)^2+(8-3)^2} =\sqrt{4^2+5^2}=\sqrt{41}= 6.403124237432849[/tex]
a pair of shoes is originally priced at 120 It is on sale for 35% off . Find the total percent that you would pay
Step-by-step explanation:
If the discount is 35% off. then the new price is 65% of what the old price is. So we multiply 120 x .65 = 78
Answer:
You pay 65% which is $78
Step-by-step explanation:
You'd pay 65% of the original price.
65% of the original price is 78
To do this you multiply 65% by 120
1. How many possible outcomes are there for flipping a coin three times
1. 3
2. 14
3. 8
2. What is the theoretical probability of all three flips being heads
1. 1/8
2. 3/8
3. 1/2
3. What is the probability of thete being at least one tail
1. 1/8
2. 1/2
3.7/8
Answer:
1. 14
2. 1/8
3. 7/8
Step-by-step explanation:
What is the total amount of material
needed for the entire birdhouse?
Answer:
This question is incomplete ... plz complete the question so that you may get better help.
Step-by-step explanation:
From: Brainy services
