Answer:
500 inches
Step-by-step explanation:
Let C₁ and n₁ be the circumference and the number of rotations of the larger wheel. Also, let C₂ and n₂ be the circumference and the number of rotations of the smaller wheel. Since the distance moved by both wheels from Ally's house to her neighbor's house is the same, n₁C₁ = n₂C₂. (1)
Also it is given that half the circumference of the larger wheel is 5 inches more than the circumference of one of the smaller wheels.
So, C₁/2 = C₂ + 5
C₁ = 2(C₂ + 5) (2)
Substituting C₁ into (1), we have
n₁C₁ = n₂C₂.
n₁[2(C₂ + 5)] = n₂C₂.
Since n₁ = 10 and n₂ = 25, we have
10[2(C₂ + 5)] = 25C₂
20(C₂ + 5) = 25C₂
expanding the bracket,
20C₂ + 100 = 25C₂
collecting like terms, we have
25C₂ - 20C₂ = 100
5C₂ = 100
dividing both sides by 5, we have
C₂ = 100/5
= 20 inches
So, the distance between Ally's house and her neighbor's house is d = n₂C₂ = 25(20)
= 500 inches
The distance travelled by Ally's tricycle is [tex]500inches[/tex]
Let
[tex]d=\text{the distance between Ally's house and her neighbor's house}\\C_b=\text{the circumference of the larger wheel}\\C_s=\text{the circumference of each of the smaller wheels}[/tex]
Then, from the question
[tex]d=10C_b=25C_s\\\\\frac{C_b}{2}=C_s+5[/tex]
Eliminating [tex]C_s[/tex] from the second statement, we get
[tex]\frac{C_b}{2}=5+\frac{2C_b}{5}[/tex]
Solving for [tex]C_b[/tex],
[tex]C_b=50inches[/tex]
To calculate the distance travelled between her house and her neighbor's house,
[tex]d=10C_b\\\implies d=10\times 50inches=500 inches[/tex]
Therefore, the distance travelled between Ally's house and her neighbor's house is [tex]500inches[/tex]
Learn more about circumferences here: https://brainly.com/question/3131741
What number would you multiply the 2nd equation by in order to eliminate the y terms?
4x - 4y = 16
2x + y = 5
Answer:
x=3
y=-1
Step-by-step explanation:
first multiply the 2nd row by 2 so you will get
4x-4y=16
4x+2y=10
then subtract the 2nd row from the first row and so you will get
-6y=6
then solve for y in the above equation
y=-1
then substitute y=-1 into any 2 equations .
i picked the first 1
4x-4 × -1=16
then solve for x .
you will get
x=3
easy math please help
Answer:a and d
Step-by-step explanation:
3 and _ had the same absolute value
Answer:
-3
Step-by-step explanation:
absolute value means how far the number is from 0 so 3 and -3 are both 3 away from 0
Solve the right angle trig problem.
Answer:
x = 53.6588°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing angle.
Step 2: Identify Variables
POV from angle x
Angle = x
Adjacent = 16
Hypotenuse = 27
Step 3: Solve for x
Substitute: cosx° = 16/27Inverse: x° = cos⁻¹(16/27)Evaluate: x = 53.6588°At what value of x does the line you graphed intersect the line
y=5? Show how you determined your answer.
Is the following a function ?
Answer:
yes
Step-by-step explanation:
Danny is opening a saving account. His initial deposit was $100. He makes $25 a week mowing his neighbors lawns, and he plans to put his earnings into the savings account each week. Write an equation in slope intercept form to model the amount of money in the bank account, y, after x weeks.
Answer:
y=100x+25
Step-by-step explanation:
I'm assuming you need an equation for this.
the answer is y = 100x + 25 or 25(4x+1)
pls help asap thx :)
Answer: a
Step-by-step explanation:
It can show she earn how much each week and how much she earn at the end of the week.
help me please if you can tell me the answer
Answer:
a
Step-by-step explanation:
Answer: Im pretty sure that its D
Step-by-step explanation:
pls dont be mad if its wrong
PLEASE ANSWER ASAP!!!!!!!!!
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce.
f(n) = 9(0.7)n
What does the number 9 in the function represent?
A) Number of times the ball was dropped.
B) Height from which the ball was dropped.
C) Height to which the ball will bounce at the nth bounce.
D) Number of times the ball bounces at the nth bounce.
Answer:
c
Step-by-step explanation:
-7 - 2 ..........................................................
..
Answer:
-9 is the answer
Step-by-step explanation:
hope it helps!
PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP
Answer:
500
Step-by-step explanation:
each computer is 500 dollars
Answer:
500
Step-by-step explanation:
Divide each cost by the number of computers
500 ÷ 1 = 500
1,000 ÷ 2 = 500
1,500 ÷ 3 = 500
2,000 ÷ 4 = 500
mark brainliest if helped
PLEASE HELP ME WITH THIS ASAP
9514 1404 393
Explanation:
1. ΔABC ≅ ΔDEF . . . . . 1. SAS postulate*
_____
The two given congruent sides are either side of the given congruent angle, so the SAS postulate applies. The objective appears to be irrelevant.
Tyler’s height is 53 inches. What could be his height in centimeters? (1 inch = 2.54 cm)
Answer:
134.62
Step-by-step explanation:
pls help! will give brainlist!
write a story that can describe the expression:
75x - 20
If C = x + 8 and D = 2x + 10, find an expression that equals 2C + 3D in
standard form.
Answer:
[tex]8x+46[/tex]
Step-by-step explanation:
Insert the original values of C and D into the new expression:
[tex]2(x+8)+3(2x+10)[/tex]
Simplify the expression. Use the distributive property:
[tex]2(x)+2(8)+3(2x)+3(10)\\\\2x+16+6x+30[/tex]
Combine like terms:
[tex](2x+6x)+(16+30)\\\\8x+46=2C+3D[/tex]
:Done
Could you help me, pls? :c
Answer:
lolshdusudyudhdgfhfhd
Answer:
17
Step-by-step explanation:
if a=2 then
4(2)-2x is greater than or equal to 13(2)
8-2x is greater than or equal to 26
You now have to find the smallest number that will accurately fit this equation. In this case it is 17.
8-2(17) is greater than or equal to 26
8-34 is greater than or equal to 26
26 is greater than or equal to 26
Hope this helps :)
y=12x=25 help please
Answer:
Simplifying
y = 12x + 25
Reorder the terms:
y = 25 + 12x
Solving
y = 25 + 12x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 25 + 12x
Step-by-step explanation:
I tried
Subtract -7x^2+4x+2 from x^2-3x
Answer:
-8x^2+x+2
Step-by-step explanation:
Can anyone by chance know how to do these geometry questions?
Answer:
G is equal to (8, -11)
Step-by-step explanation:
We are given the midpoint and one end of the line segment. We can find the other end of it by taking the distance from H to M, doubling it, and adding that to H:
[tex]G(x, y) = H(x, y) + 2(M(x, y) - H(x, y))\\\\G_x = H_x + 2(M_x - H_x)\\G_x = -4 + 2(-6 - (-4))\\G_x = -4 + 2(-2)\\G_x = -4 - 4\\G_x = 8\\\\G_y = H_y + 2(M_y - H_y)\\G_y= 3 + 2(- 3 - 4)\\G_y= 3 - 6 - 8\\G_y = -11[/tex]
So the coordinates of endpoint G are (8, -11)
.Write the value of the number in parenthesis (6) 78.006
Answer:
Thousandths
Step-by-step explanation:
7: tens
8: ones
0: tenths
0: hundredths
6: thousandths
What I have learned
Help me
Can u please help i put extra points please explain to!
Answer:
5 over 8
Step-by-step explanation:
convert the mixed numbers to improper fractions then divide them and simplify
equation: 7/2 ÷ 40/7 = 50/80 or simplify to 5/8
*the slash is supposed to be the line that separates the top and bottom number in the fraction*
what is π + e its easy
Answer:
5.85987448205
Step-by-step explanation:
Answer:
The answer is e+pi
Step-by-step explanation:
Please help ASAP!
I’ll mark brainliest:)
The question of the pic was cut off at the top and it says -
Line W is graphed on the coordinates plane below.
Answer: A
Explanation:
Step 1: Use the linear graph to create an equation using slope-intercept form. The y-intercept is (0,-6) because that's where the line passes the y-axis. The slope is 1/2 and that's pretty self-explanatory if you know how to find slope. The equation would be y=1/2x-6.
Step 2: Because we are looking for a line perpendicular to the linear graph, the y-intercept and slope needs to be different. If they're perpendicular, they need to intersect, so the slope needs to be the reciprocal of the original slope, 1/2. The reciprocal is -2. Your equation would be y=-2x+b, and since we don't know the y-intercept, we would leave it as b.
Step 3: Plug in the given ordered pair, (-3,-2), to get -2=-2(-3)+b. You would result with -2=6+b. Subtract 6 to both sides and you would get b=-8.
simplify This expression
Answer:
9
Step-by-step explanation:
10-2×3+5
10-6+5
4+5
9
Answer:
9Step-by-step explanation:
[tex]10-2\times 3+5 \\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\Multiply\:2\times 3\:=6\\\\=10-6+5\\\\Add \:and \:subtract \: :10-6+5\\\\=4+5\\\\=9[/tex]
Question 3
On problem #10, which variable will be the easiest to isolate in order to solve the system using
substitution?
A: x, in the top equation
B: y. in the top equation
C: x, in the bottom equation
D: y, in the bottom equation
Answer:
A = Hard to do, B = Easiest, C = Pretty Easy, D = Hard
Step-by-step explanation:
Step 1:
5x - 2y = -18
x - 8y = 80
__________
Step 2:
4(5x - 2y) = (-18)4
20x - 8y = -72
__________
Step 3:
20x - 8y = -72
x - 8y = 80
__________
Step 4:
21x = ?
Also, this equation isnt a substitution question, the way to solve this is by using elimination, you can tell because the values are lined up perfectly, sub. is used when y/x, is on the bottom left or right, and the other is on the opposite.
(if this makes any sense)
If this is accurate please mark it with a brainliest :)
Find the value of n that makes DEF-XYZ when
DE = 4, EF = 5, XY = 4(n + 1). YZ = 7n - 1, and
Answer: n=3
Step-by-step explanation:
Understand that you need to set up a proportion before you can try to solve the question through guessing. In this case, YZ would be proportional to XY as EF is proportional to DE. You would write this as: EF/DE=YZ/XY.
Now you want to write an equation. In order to do this remember to multiply by your proportion. Here’s my equation:
5/4(4n+4)=7n-1. Now distribute:
5n+5=7n-1. Now simplify:
6=2n. Now simplify again:
n=3
Hope this helps you with your big ideas math hw!
The value of is n=3
Important information:DEF-XYZ whenDE = 4, EF = 5, XY = 4(n + 1). YZ = 7n - 1.The calculation is as follows:5/4(4n+4)=7n-1.
Now distribute:
5n+5=7n-1.
Now simplify:
6=2n.
n=3
Find out more information about the Number here : https://brainly.com/question/17429689?referrer=searchResults
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Write 17\4 as a mixed number. You must show your work to receive all possible points.
Answer:
17/4 divided by 4 = 4 and 1/4
Step-by-step explanation:
In order to find the mixed number you have to divide the numerator by the denominator.
A football team has $3,744 to spend on hats for their fans. Each hat costs $8. How many hats can the team buy?
Answer:
468
Step-by-step explanation:
3,744/8=468