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;
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Michael has a home-based business putting on children's parties. He charges $45 to design the party and then $7.50 per child . Write a function rule ( equation) that relates the total cost of the party to the number of children n
Answer:
45 + ( 7.50*x)
Step-by-step explanation:
Answer:
I believe the answer is: [tex]f(x)=45+7.50x[/tex]
Step-by-step explanation:
45 because you start with it costing that much and then the 7.50x because each child costs 7.50 and you don't know how many there will be.
Monique made several batches of soup for a potluck supper. Each batch required 3/4 of a pound of potatoes, and she used a total of 6 1/2 pounds of potatoes. How many batches of soup did Monique make?
Which division and multiplication problems could represent this scenario? Check all the apply.
A)3/4 divided by 13/2
B)13/2 divided by 3/4
C)3/4(13/2)
D)13/2(3/4)
E)13/2(4/3)
Answer:
B and E
Step-by-step explanation:
Answer:
B) 13/2 divided by 3/4 and E) 13/2(4/3)
Y=4x + 6
Y = 6x - 12
Solve the systems of equation by substitution
Answer:
x=9, y=42
Step-by-step explanation:
y=4x+6
y=6x-12
Substitute the second equation into the first:
6x-12=4x+6
Subtract 4x from both sides:
2x-12=6
Add 12 to both sides:
2x=18
Divide both sides by 2:
x=9
Plug this back into one of the equations to find y:
y=4(9)+6=36+6=42
Hope this helps!
Which of the following real-world problems can be modeled with the inequality 384+2x<6x
384
+
2
x
<
6
x
?
Marta charges a flat fee of $384 plus $2 per linear foot to decorate tables for a quinceanera. Carla charges $6 per linear foot to do the same. For what number of linear feet, x, will the cost of both decorators be the same?
Shawna has made 384 campaign buttons for the student council election. She plans to make 2 more buttons each hour. Marguerite plans to make 6 campaign buttons per hour. For what number of hours, x, will Shawna have the same amount of campaign buttons as Marguerite?
Super Clean house cleaning company charges $384 to power wash a house plus $2 per linear foot. Power Bright charges $6 per linear foot and no flat fee. For what number of linear feet, x, will the cost of Super Clean be more expensive than Power Bright?
Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym?
Answer: Gym problem (fourth option)
Step-by-step explanation:
Hi, to answer this question we have to analyze the options given.
For the first option the equation is:
384+2x=6x
Because the problem asks for a solution where both costs are equal.
For the second option the equation is :
384+2x = 6x
Because the problem asks for a solution where both amounts are equal.
For the third option the inequality is:
384+2x>6x
Because the problem asks for a solution where the first cost is more expensive than the second cost.
For the fourth option (gym problem) the inequality is:
384+2x< 6x
Because the problem asks for a solution where the second cost (super gym) is more expensive than the first cost (mega gym).
This option is the correct one.
Feel free to ask for more if needed or if you did not understand something.
A horizontal line has points J, K, L. A line extends from point K up and to the right to point M. Angle J K M is (10 y + 6) degrees and angle M K L is (8 y minus 6) degrees
What is the value of y?
y =
Find the following angle measures.
mAngleJKM = °
mAngleMKL = °
Answer:
The found values are:
y = 10
<JKM = 106°
<MKL = 74°
Step-by-step explanation:
(See the diagram attached)
As JKL is a straight horizontal line, angle measure from JK to KL is 180°.
We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.
Which means that the sum of <JKM and <MKL is equals to 180°.
Mathematically, it can be written as:
[tex]<JKM+<MKL=180^\circ\\\\[/tex]
Substitute the values of both angle to solve the equation:
[tex](10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10[/tex]
Put in the formulas of both angle to find their values:
<JKM = 10y + 6
<JKM = 10(10)+6
<JKM = 106°
<MKL = 8y - 6
<MKL = 8(10)-6
<MKL = 74°
Answer:
y = 10
<JKM = 106°
<MKL = 74°
Step-by-step explanation:
y= 3x+7
y = -2x - 3
Whats the x and y for the solution
Answer:
x=-2, y=1
Step-by-step explanation:
y=3x+7
y=-2x+3
Set the two equations equal to each other:
3x+7=-2x-3
Add 2x to both sides:
5x+7=-3
Subtract 7 from both sides:
5x=-10
Divide both sides by 5:
x=-2
Plug back into one of the original equations to find y:
y=3(-2)+7=-15+7=1
Hope this helps!
Find the area of the parallelogram.
______________________________
Hey!!
Base=15cm
height=5 cm
Area of parallelogram=b*h
=15*5
=75 cm^2
Hope this helps..
__________________________
write an equation that defines the function :)
Answer:
see below
Step-by-step explanation:
Since the initial value is 5 and it increases by 3 every time x goes up the equation is y = 5 * 3^x.
If you pick a number tile from the following set of number tiles, how many possible outcomes are there? {2,4,6,8,10} A. 2 B. 3 C. 4 D. 5
Answer:
D 5
Step-by-step explanation:
1st outcome: 2
2nd outcome:4
3rd outcome:6
4th outcome:8
5th outcome:10
Answer:
5
Step-by-step explanation:
mark me brainliest :)
Please help, due tomorrow
Answer:
E. CI = 102.79
helppppoppooppppppppp.
What percent is equivalent to 1 Over 20
Answer:
5%
Step-by-step explanation:
To find this percent, first divide 1 by 20.
1/20 = 0.05
Now, convert this decimal to a fraction by moving the decimal point 2 places to the right.
0.05 = 5%
Hope this helps! Feel free to ask me any questions :)
Answer:
5%
Step-by-step explanation:
1/20 = 5/100
5/100 equals 5%
which of the following sets of sides could NOT form a right triangle:
a 3 — 4 — 5
b 6 — 8 — 10
c 8 — 14 — 17
d 9 — 40 — 41
===================================================
Explanation:
Choice A is a non-answer because 3-4-5 does represent a right triangle. We can see so from the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = 5^2
9+16 = 25
25 = 25
We get a true equation, so (a,b,c) = (3,4,5) is a solution to a^2+b^2 = c^2
This confirms a 3-4-5 triangle is a right triangle.
------
The same steps can be used to show 6-8-10 is also a right triangle (note how each value has been doubled compared to 3-4-5). We can cross choice B off the list.
We can also see that choice D is a non-answer as well.
------
Choice C is the only thing left. The proper Pythagorean triple is actually 8-15-17.
Let's see what happens when a = 8, b = 14, c = 17
a^2+b^2 = c^2
8^2+14^2 = 17^2
64+196 = 289
260 = 289 .... false equation
We get a false equation, so a = 8, b = 14, c = 17 does not form a right triangle.
Please help this is about be getting a 4/4 in my math class now I have 3/4 I want to get 4/4 please help...
Answer:
Step-by-step explanation:
find the area of the shape attached
Answer:
Radius x radius x 3.14 / 2 = area of semicircle
5 x 5 x 3.14 = 78.5
don't divide because there is two semicircle
22-10=12
12 x 10 = 120
120 + 78.5 = 198.5 cm squared
Step-by-step explanation:
The five triangle congruence are sss, sas, aas, asa and hl criteria. Fully explain why aaa is not a triangle congruence criteria
Answer:
As you may know, the addition of all the interior angles of a triangle always adds up to 180°.
So if we know two angles of the triangle, A1, and A2, we can find the third angle as:
A1 + A2 + X = 180°
X = 180° - A1 - A2.
Se with only knowing two angles, we can find the third angle.
So aaa is a criteria equivalent to aa.
Now, the problem with this criteria is that also works for finding similar triangles (for example, an equilateral triangle of sides 10 and an equilateral triangle of sides 20 are similar, as the angles are the same, but are not congruent, as the length of the sides is different) and this happens because we only have information of the angles and know nothing of the sides.
Please somebody help me with this ASAP!!!
Answer:
Please mark me brainliest and I hope this helps!
Answer: 52
Step-by-step explanation:
The length of the path is shown by the lines that trace the outside of the shape. The lines are equal to: 13 + 13 + 9 + 3 + 4 + 10
That is equal to 26 + 9 + 7 + 10.
Which is equal to 35 + 17.
And our final answer is 52.
You enjoy reading in your free time and keep every book you have ever read. When you were five, you read 2 books and every year after you tripled the number of books you read. How many books did you have in your bookcase when you were 11 years old?
The total number of books that we had in out bookcase when we were 11 years old was 2,187 books.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is [tex]a[/tex]
and the term by which we multiply the previous term to get the next term is [tex]r[/tex]
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
(till the terms to which it is defined)
Thus, the nth term of such sequence would be
[tex]T_n = ar^{n-1}[/tex] (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).
What is the sum of terms of a geometric sequence?Lets suppose its initial term is [tex]a[/tex] , multiplication factor is [tex]r[/tex]
and let it has total n terms, then, its sum is given as:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
(sum till nth term)
For this case the initial number of books (2) is multiplied by 3 each year.
So we got:
a = 2,
r = 3
Since a = 2 was for age 5, and if we take age 5 at 1st position, then age 11 is at the 7th position.
The number of books we read at each age is a geometric sequence with initial term 2 and multiplication factor 3.
The sum of its term(which would make it geometric series) will give the total number of books we will have.
Since age 11 is at 7th position, so n = 7
Thus, the total number of books we had in the bookcase when we were 11 years old is:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}\\\\S_7 = \dfrac{2((3)^7-1)}{3-1} = 2187[/tex]
We could've derived it without formula as:
Age 5: 2 booksAge 6: [tex]2 \times 3[/tex] booksAge 7: [tex]2 \times 3^2[/tex] booksAge 8: [tex]2 \times 3^3[/tex] booksAge 9: [tex]2 \times 3^4[/tex] booksAge 10: [tex]2 \times 3^5[/tex] booksAge 11: [tex]2 \times 3^6[/tex] booksTheir sum is 2187.
Thus, the number of books that we had in out bookcase when we were 11 years old was 2187 books.
Learn more about sum of terms of geometric sequence here:
brainly.com/question/1607203
Which of the following is a polynomial?
O A. (° - 4)
(x + 1)
O B. x-2-1
O c. 1+2
O D. x-2
Here A is the answer because it has more terms i guess
Plz answer number 6 and 4
What is the value of 4 x minus 7 when x = 4?
Answer: 9
Step-by-step explanation: Here, we have the expression 4x - 7 and we want to evaluate the expression when x is equal to 4.
To evaluate an expression, we simply plug the value
of the variable into the expression and solve.
So here, since x is equal to 4, we have 4(4) - 7.
4(4) is equal to 16.
So we have 16 - 7 which is equal to 9.
So the value of our expression when x is equal to 4 is 9.
Answer:
9
Step-by-step explanation:
4x - 7 ( x=4)
4 × 4 - 7
16 - 7
9
if my final exam is worth 60 points, and i get an 80%, how many questions did i get right?
Answer:
48
Step-by-step explanation:
Total points = 60
% = 80%
Therefore no. of points right = 80/100×60 = 48
Triangle ABC has measures a = 2, b = 2, and mzA = 30°.
What is the measure of angle B?
15°
30°
45°
60°
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
If the lengths of a and b are equal, the degrees of the angles should also be equal.
someone pls help me
Answer:
x 5 2 -1 -7 -10 1 -19
y 10 4 8 6 20 24 32
Step-by-step explanation:
Hope this helps!
This is for the x section 5 2 -1 -7 -10 1 -19
This is for the y section 10 4 8 6 20 24 32
Correct me if i'm wrong
If the nth term of a sequence is
on what is the 12th term?
If the nth term of a sequence is 28-3n what is the 7th term?
Answer:
7
Step-by-step explanation:
The nth term is supposed to help us find the value of any number in the sequence. All we have to do is substitute n for 7, in this case
So, this is the general term.
= 28 - 3n
Now, to find the 7th term, we simply replace "n" with "7"
= 28 - 3(7)
Since "n" was being multiplied with 3, 7 is also going to be multiplied with 3.
= 23 - 21
= 2
How is completing the square for an expression different than completing the square to solve an equation?
Answer:
Completing includes a change for the extra term has to be subtracted
Where completing the square to an equation will always result in finding what equals zero.
[tex]( {8x}^{2} + 4x + 4) - (7x + 9)[/tex]
Solve.
Answer:
Combining like terms together we get 4x - 7x = -3x and 4 - 9 = -5 so the answer is 8x² - 3x - 5.
At the sandwich shop there are 5 different meats and 4 different cheeses from which to choose. How many different sandwiches can be made using one meat and one cheese? A. 2 B. 9 C. 12 D. 20
Answer:
D. 20 different sandwiches
Step-by-step explanation:
5 meats
4 cheeses
5 x 4 = 20
Answer:
its D
Step-by-step explanation:
i did the test on edgeuenity or however u spell it
Select the correct answer.
Why would someone choose to invest rather than depend only on savings?
A.
An investment account provides regular income, while money held in a savings account may decrease.
B.
An investment account has the potential to earn more money than a savings account.
C.
An investment account has a fixed maturity date, but a savings account doesn’t.
D.
There’s less risk of losing money held in an investment account than in a savings account.
Answer:
B.
An investment account has the potential to earn more money than a savings account.
Answer:
B. An investment account has the potential to earn more money than a savings account.
Step-by-step explanation:
Neither saving nor investing is better than the other, choosing depends on your present financial position.
Suppose a rock in free fall is dropped off a cliff. After falling 5 seconds, its
speed will be 100 m/s.
A. True
B. False
Answer:
B
Step-by-step explanation:
You can use an equation from physics to help with this.
[tex]v_f=v_o+at[/tex]
Since the initial velocity is 0, you can set up the following equation:
[tex]v_f=0+(10)(5)\\\\v_f=50\neq 100[/tex]
Hope this helps!
