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
Laurie had three $2 off coupons for the mini-golf course, but everybody else had to pay $9 per person, the full price. What was the total cost for their group of 8 to play mini-golf?
A: $51
B:$62
C:$63
D:$66
Answer:
D
Step-by-step explanation:
9x8=71
2x3=6
71-6=66
Answer:
D $66
Step-by-step explanation:
So first we need to figure how much money she was able to deduct from the three $2 coupons. Remember the original price is $9
3×2=6 (which means she can get $6 off of the original price $9.)
9-6= 3 (So now she only has to pay $3 while the other seven people in her group pays the original price $9.)
9×7= 63 (So $9 for the 7 other people equals $63. That is how much they are paying. Now let's add Laurie's amount!)
63+3=66 (So altogether everyone including Laurie is paying $66.)
So the final answer is $66
(I hope this helps you! Have a wonderful day everyone!)
:)
|) Mei Li is going orange
picking. She is choosing
between two orange
orchards. The cost of a
basket of oranges at each
orchard is shown.
Which orchard should Mei
Li choose? Explain.
Answer:
Annie's Orange Grove
Step-by-step explanation:
* you need to find out how much each pound of oranges cost at both orchards.
* to do so you take the total amount of money and divide it by the number of pounds you get.
1) 7.25 ÷ 20 = .36
2) 5 ÷12 = .4
* as you can see .36 is less than .4 and therefore is the better deal.
what is. 60+6000=?? (●'◡'●)
Answer:
6060
Step-by-step explanation:
ヽ(゚Д゚)ノ
Answer:
6060
Step-by-step explanation:
6000+60
Helpp pleasee it's solving mulit=step equations.
Answer:
The answers are
x=-2
m=23
a=-24
x=6
Answer:
Step-by-step explanation:
1. x+5=3
x= 3-5=-2
2. m-4=19
m= 19+4=23
3. a÷6=-4
Multiply by 6 on both sides we get
a = -4×6=-24
4. -6x =-36
Divide by -6 on both sides
x =6
Olivia picked 482 apples from the orchard’s largest apple tree. She divided the apples evenly into 4 baskets. How many apples are in each basket? How many are left over?
Answer:
there are 120 apples in each basket and 5 are left over
Step-by-step explanation:
What's the value of 6.7×0.54
Answer:
What's the value of 6.7×0.54
=
3.618
Step-by-step explanation:
Answer:
3.618
Step-by-step explanation:
3.618
What number will complete the point-slope equation that models this scenario?
y−50,000=[_______](x−10)
Answer:
-3000
Step-by-step explanation:
edge2021
Answer: -3000
Step-by-step explanation: Did it on Edge and got it right!
Find the equation of the linear function represented by the table below in slope-intercept form.
x y
-2 -9
1 3
4 15
7 27
Answer:
[tex]y = 4x-1[/tex]
Step-by-step explanation:
Required:
Determine the equation of the linear function
First, we need to determine the slope (m) as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (-2,-9)[/tex]
[tex](x_2,y_2) = (4,15)[/tex]
Substitute these values in [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{15- (-9)}{4 - (-2)}[/tex]
[tex]m = \frac{24}{6}[/tex]
[tex]m =4[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y -(-9) = 4(x - (-2))[/tex]
[tex]y + 9 = 4(x + 2)[/tex]
[tex]y + 9 = 4x + 8[/tex]
Make y the subject
[tex]y = 4x + 8 - 9[/tex]
[tex]y = 4x-1[/tex]
In AFGH, the measure of ZH=90°, the measure of ZF=18°, and GH = 9.4 feet. Find
the length of HF to the nearest tenth of a foot.
Answer:
20.9 feet
Step-by-step explanation:
i really hope this helps and have a good day
Find the quotient: 6/2 divided by 3/4.
Answer: the quotient is 4
Answer:
4
Step-by-step explanation:
6
2
÷
3
4
=
6/4
×
2/3
=
6 × 4
2 × 3
=
24/6
=
24 ÷ 6
6 ÷ 6
= 4
Evaluate 4b – a when a = 12 and b=7.
4b - a= 0
Answer: 4b - a = 15
Step-by-step explanation: if you replace the variables with their equivalent counterparts you get the equation 4(7) - 12 = __ when you do the math make sure to do the parentheses first then subtract, just like in elementary school remember pemdas parentheses, exponents, multiplication, division, addition, subtraction. I hope this helps.
The cost of 9 scarves is $87.75. What is the unit price?
Answer:
the answer is 9.75 for one
Step-by-step explanation:
divide 87.75/9
hope this helped
FERRIS WHEEL Suppose a Ferris wheel is 160 feet high and casts a shadow that is 64 feet long. At the same time, a ticket booth next to the Ferris wheel casts a shadow that is 2.8 feet long. What is the height of the ticket booth?
Answer:
7 feet
Step-by-step explanation:
Suppose a Ferris wheel is 160 feet high and casts a shadow that is 64 feet long. At the same time, a ticket booth next to the Ferris wheel casts a shadow that is 2.8 feet long. What is the height of the ticket booth?
We solve this question
Length of shadow/Height
Ferris wheel = Ticket booth
64 feet/160 feet = 2.8 feet/x
Cross Multiply
64x = 160 × 2.8
x = 160 × 2.8/64
x = 7 feet
The height of the ticket booth is 7 feet
What is it? I don't understand it or know it.
Answer:
3+6n=
Step-by-step explanation:
Suppose a ice cream cone cost lies and $.80 each how many ice cream cone put the couch buy with $42?
So you want to go to your calculator type 42 divided by zero, and you should get a 52.5.
Passing through
(1,2) and (5,10)
Step-by-step explanation:
equation of the line is
y =mX + C
to calculate m(slope) :
m= 10-2/5-1 = 2
to find C ....Substitute in eq. by one point
2= 2×1+C
C. = 0
So the eq. is
y=2X
Find the lengths of all 3 sides of each triangle.
Answer:
GH=45
HJ=81.6
GJ=53.4
Step-by-step explanation:
hope i helped <3
Which equation represents the axis of symmetry
for the function y =-4(X+6)* +4?
A X=6
B X=4
C X=-6
X=-4
A customer at a store paid $42 for 4 pairs of pants and 3 shirts. At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts. The price of each pair of pants is the same, and the price of each shirt is the same. Which system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y?
Answer:
The system of Equations:
4x + 3y = 42
x + 7y = 44
Step-by-step explanation:
Let the price in dollars of
each pair of pants = x
each shirt = y
A customer at a store paid $42 for 4 pairs of pants and 3 shirts.
Hence:
4 × x + 3 × y = $42
4x + 3y = 42
At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts.
This means he, paid $42 +$2 = $44
Hence:
1 × x + 7 × y = 44
x + 7y = 44
The system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y is
4x + 3y = 42.... Equation 1
x + 7y = 44..... Equation 2
solving a compound inequality. check all that apply.
Answer:
The solutions are:
-28.25, -14.5, -2.25
Step-by-step explanation:
Given compound inequality is:
[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]
The compound inequalities are broken down into two inequalities to find the solution
The two inequalities will be:
[tex]\frac{2x+4}{3} \geq -17.5[/tex] AND [tex]\frac{2x+4}{3}<{17.5}[/tex]
Solving both inequalities one by one
[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]
The solution is:
-28.25 ≤ x < 24.25
We have to see which options lie in the solution range.
The solutions are:
-28.25, -14.5, -2.25
A group of 31 students is going to visit the museum. The total cost for the tickets is $145.15. About how much money will each student need to pay for a ticket?
Answer:
$4.65
Step-by-step explanation:
Find the x- and y-intercept of the line.
–3x + 5y = 75
a
x-intercept is 5; y-intercept is –3
b
x-intercept is –3; y-intercept is 5
c
x-intercept is –25; y-intercept is 15
d
x-intercept is 15; y-intercept is –25
Answer:
x intercept-25; y intercept is 15
20 POINTS IF YOU ANSWER! NEED HELP ASAP
The two kids next to your locker are arguing over who got the better deal on the new cell phone plan billy pay $30 for his new phone and only pays $12.50 each month with free texting Annie got her new phone for free in only pays $20 a month how many months will both billy Annie have paid the same amount for the new cell phone plans you must write and solve an equation
Answer:
They will both have paid the same amount after 4 months
Step-by-step explanation:
Assume that they will pay the same amount after x months
∵ Billy pays $30 for his new phone
∵ He only pays $12.50 each month
→ Find how much he will pay in x month
∴ He will pay → 30 + 12.50x
∵ Annie got her new phone for free
∵ She only pays $20 a month
→ Find how much she will pay in x month
∴ She will pay → 20x
∵ They will pay the same amount
→ Equate their expressions above
∴ 20x = 30 + 12.50x
→ Subtract 12.50x from both sides
∵ 20x - 12.50x = 30 + 12.50x - 12.50x
∴ 7.50x = 30
→ Divide both sides by 7.50
∴ x = 4
∴ They will both have paid the same amount after 4 months
How many solutions does 1.25x+4=1.00x+6 have
Answer:
One solution which is 8
Step-by-step explanation:
Hope this helps. Pls give brainliest.
The directions on a sewing pattern say to cut an extra 15% of fabric to account for error.
Chloe needs 0.75 yard of fabric to make a skirt, and she cuts 0.1125 yard.
Did Chloe cut the correct amount of fabric? Why or why not?
Chloe cut enough fabric because she cut the amount of fabric for the skirt.
Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.
Chloe did not cut enough fabric because she only cut the amount of fabric for the skirt.
Chloe did not cut enough fabric because she only cut the amount of extra fabric.
Answer:
D
Step-by-step explanation:
She only cut the 15% extra and no the other 75%
Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric. The correct option is B.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that The directions on a sewing pattern say to cut an extra 15% of fabric to account for errors. Chloe needs 0.75 yards of fabric to make a skirt, and she cuts 0.1125 yards.
Calculate the percentage of the fabric from the given data,
Percentage = 0.1125 / 0.75
Percentage = 0.15 x 100
Percentage = 15%
Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.
To know more about percentages follow
https://brainly.com/question/24304697
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barney has 14 dimes and quarters worth $2.15. write the system of equations
Answer: 14 dimes and 3 quarters
Step-by-step explanation:
14x10=140+25=165+25=190+25=215 aka $2.15 meaning that there is 14 dimes and 3 quarters
GAIQNFKDKER HELP PLZ
Answer:
it's the first answer
Step-by-step explanation:
literally every other answer is ruled out because D is the greatest variable and can't be smaller than anything else
1. Angelina received 10% off a $50 pair of shoes. How much did she save?
Answer:
$5
Step-by-step explanation:
Multiply 0.10 by $50
5
So Angelina saved $5
Hope this helped :)
Solve cos x + √2 = -cos x for x over the interval [0, 2Π)
Answer:
[tex]x=\frac{3\pi}{4}\\\\x=\frac{5\pi}{4}[/tex]
Step-by-step explanation:
Trigonometric Equations
It's required to solve:
[tex]\cos x+\sqrt{2}=-\cos x[/tex]
for [tex]x\in [0,2\pi)[/tex]
Adding cos x:
[tex]2\cos x+\sqrt{2}=0[/tex]
Subtracting [tex]\sqrt{2}[/tex]
[tex]2\cos x=-\sqrt{2}[/tex]
Dividing by 2:
[tex]\displaystyle \cos x=-\frac{\sqrt{2}}{2}[/tex]
Solving for x:
[tex]\displaystyle x=\arccos\left(-\frac{\sqrt{2}}{2}\right)[/tex]
We need to find the angles whose cosine is [tex]-\frac{\sqrt{2}}{2}[/tex] over the given interval.
These angles lie on the quadrants III and IV respectively and they are:
x=135°, x=225°
Converting to radians:
135 * π / 180 = 3π/4
225 * π / 180 = 5π/4
The two solutions are:
[tex]\mathbf{x=\frac{3\pi}{4}}[/tex]
[tex]\mathbf{x=\frac{5\pi}{4}}[/tex]
Answer:
The correct answer is option C
Step-by-step explanation:
first to answer gets brainlest <33