Angela is riding a scooter around her neighborhood. The front wheel has a diameter of 10 inches and the back wheel has a diameter of 5 inches. The scooter is moving at a speed of 10 inches per second.
As she is riding her scooter, a spider hops onto the front wheel. Angela looks down and thinks that if the praying mantis has a good grip that he will go all the way around the wheel in just 1 second. Is Angela right or wrong? Why?
If she is wrong find the amount of time it will take to go all the way around
Answer:
i. Angela is wrong. Because the diameter of the wheel is not the distance covered all the way round.
ii. The time is 3.14 seconds.
Step-by-step explanation:
The font wheel has a diameter of 10 inches. Thus;
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{10}{2}[/tex]
= 5 inches
Circumference of a circle = 2[tex]\pi[/tex]r
⇒ The circumference of the front wheel = 2[tex]\pi[/tex]r
= 2 x [tex]\frac{22}{7}[/tex] x 5
= 31.4286
The circumference of the front wheel is 31.43 inches.
The total distance to be covered by the mantis = circumference of the front wheel
= 31.43 inches
But,
speed = [tex]\frac{distance}{time}[/tex]
The scooter moves with a speed of 10 inches per second, so that;
10 = [tex]\frac{31.43}{time}[/tex]
⇒ time = [tex]\frac{31.43}{10}[/tex]
= 3.143 s
The time taken to complete a revolution by the mantis is 3.14 seconds.
Therefore,
i. Angela is wrong. Because the diameter of the wheel is not the distance covered all the way round.
ii. The time is 3.14 seconds.
ugrent plsss i will mark branislestt plss answer this
Answer:
Rs. 440
Explanation:
Tax= 400/100×10%
= Rs. 40
Total amount= 400+40
= Rs. 440
Answer:
cost is 400
Step-by-step explanation:
10/100×40
=10×4
=40
now total amount =400+40
=440
What is the x-intercept of the equation 4x = 9y + 5
Write your answer in fraction form.
1)Re-write the sentence as a Conditional Statement: "Parallel lines have the same
slope."
2)Re-write the sentence as a Conditional Statement: "Acute angles have a
measure less than 90 degrees."
Answer:
1
Step-by-step explanation:
Which representation does not show y as a function of x?
Answer:
The letter j because the points have to be functioned as a straight line
What is the equation of the line in slope-intercept form?
Answer:
y = 4/3 + 4
Step-by-step explanation:
4/3 comes from using rise over run. 4 comes from the y-intercept.
Answer:
y = [tex]\frac{4}{3}[/tex] x + 4
Step-by-step explanation:
y = mx + b
m = [tex]\frac{rise}{run}[/tex] ; "b" is y-intercept
~~~~~~~~~~~
m = [tex]\frac{4}{3}[/tex] and b = 4
y = [tex]\frac{4}{3}[/tex] x + 4
is -45 an integer?
Answer:
Yes
Step-by-step explanation:
An interger cannot have a fraction or decimal. It can be negative and positive.
Answer:
yes!
Step-by-step explanation:
An integer is a whole number (not a fraction) that can be positive, negative, or zero. Therefore, the numbers 10, 0, -25, and 5,148 are all integers. Unlike floating point numbers, integers cannot have decimal places. Integers are a commonly used data type in computer programming.
If AB is parallel to CD and are intersected by the transversal GH at points E and F respectively. If an
angle AEG = (3x + 5) and the other angle CFE = 95 find x? Also find the measure of each angle
Answer:
2
queen Other 3 xsl on 5 the 12 is under that making it a simplist form which would be b
1. You purchase a car using a $15,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work. (10 points)
(b) Suppose you pay the loan off after 2 years. How much interest do you save by paying the loan off sooner? Show your work. ( 5 points)
Answer:
a) $3000
b) $1500
Step-by-step explanation:
a)
interest = Principal x rate as decimal x time
interest = 15,000 x 0.05 x 4
interest = 3000
b)
interest = Principal x rate as decimal x time
interest = 15,000 x 0.05 x 2
interest = 1500
you save $1500 if you pay after 2 years
Plz help
Which set of ordered pairs is NOT a function?
what is the decimal multiplier to decrease by 32%
Answer:
0.68
Step-by-step explanation:
Parker offers to pay for 5 of his friends to play laser tag,
but 3 of them don't want
to play.
If laser tag costs $6 per person, how much will Parker spend on his friends?
Choose the correct expression and solution to this problem.
O A. The expression is 5(6 - 3).
Answer:
12(18-6)
Step-by-step explanation:
Answer:$12 — 6(5-3)
Step-by-step explanation:
It’s pretty straight forward. We know that he only needs to pay for 2 of his 5 friends (5-3). Then it costs $6 per person, and there are two people. 6x2=$12
A recipe for sparkling lemonade calls for 4 tablespoons of lemonade mix and 12 cups of sparkling water. Find how many tablespoons of lemonade mix it takes per cup of sparkling water.
The ratio of lemonade and sparkling water is 1:3.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Number of tablespoons of lemonade = 4,
And number of cups of sparkling water = 12.
To find tablespoons of lemonade pr cup of sparkling water,
Use ratio property,
= 4:12
=1:3
Therefore, 1 tablespoon of lemonade takes 3 cups of sparkling water.
To learn more about Ratio on :
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Find the slope of a line parallel to each given line
Determine the value of the variable in the product of powers. What is the value of x in the product of powers 55 · 5x = 52 ? x = What is the value of y in the product of p-3 · p-6 = py y = What is the value of n in th product of 92 · 9-7 · 9n = 9-5 = StartFraction 1 Over 9 Superscript 5 EndFraction? n =
Answer:
What is the value of x in the product of powers 55 · 5x = 52 ?
x = –3
What is the value of y in the product of p-3 · p-6 = py
y = –9
What is the value of n in th product of 92 · 9-7 · 9n = 9-5 = [tex]\frac{1}{9^5} }[/tex]
n = 0
Hope this helps :D
The value of x in the product of powers is -3, the value of y is -9 and the value of n is 0.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
Given that,
5⁵ . 5ˣ = 5²
We have to use a multiplication rule for exponent here.
xᵃ . xᵇ = xᵃ⁺ᵇ
Using this,
5⁵⁺ˣ = 5²
⇒ 5 + x = 2
⇒ x = -3
p⁻³ . p⁻⁶ = p^y
Using the same rule of exponent,
p⁻³⁺⁻⁶ = p^y
⇒ y = -3 - 6 = -9
9² . 9⁻⁷ . 9ⁿ = 9⁻⁵
9²⁻⁷⁺ⁿ = 9⁻⁵
⇒ 2 - 7 + n = -5
⇒ n = 0
Hence the values of x, y and n are -3, -9 and 0 respectively.
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classify the equation 6(x+2)=5(x+7) as having one solution, no solution, or infinitely many solutions.
The equation 6x + 12 = 5x + 35 will have one possible solution i.e. (23, 150)
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the following equation as -
6x + 12 = 5x + 35
Assume that -
6x + 12 = 5x + 35 = y
y = 6x + 12
y = 5x + 35
Graph the equations. The points of intersection would be the solutions.
Therefore, the equation 6x + 12 = 5x + 35 will have one possible solution i.e. (23, 150)
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factor the expression 6x+18y-54 . Use the GCF to help you factor the expressions
Answer:
6(x+3y-9)
Step-by-step explanation:
GCF is 6
Answer:
Step-by-step explanation:
6x+18y-54=
6 is the GCF
6(x+3y-9)
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a
prime number?
Answer:
Step-by-step explanation:
Total outcome is
3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1 = 100
Favorable outcome is
3 + 6 + 11 + 16 + 5 = 41
The percent probability is
41 / 100 = 41 %
if e^xy−y^2=e−4, then at x = 1/2 and y = 2, dy/dx =
Answer:
dy/dx = -0.5285
Step-by-step explanation:
e^(xy) − y² = e^(−4)
To get dy/dx, we will differentiate with respect to x applying both chain rule and product rule.
Thus;
e^(xy)[d(xy)/dx] - (d/dx)y² = 0
e^(xy)[x(dy/dx) + y] - ((dy/dx) × (d(y²)/dy)) = 0
xe^(xy)[dy/dx] + ye^(xy) - 2y = 0
Thus, rearranging we have;
dy/dx = [2y -(ye^(xy))]/xe^(xy)
We are given;
x = 1/2 and y = 2
Thus;
dy/dx = [2(2) - (2e^(½ × 2))]/(1e^(½ × 2))
dy/dx = (4 - 5.4366)/2.7183
dy/dx = -0.5285
what is the best way to study maths ?
Answer:
study it
Step-by-step explanation:
study it
How would you write 8 TIMES A NUMBER as an algebraic expression ?
Answer:
8x
Step-by-step explanation:
8= the times multiply and "x" being the # being multiply
Answer:
8x - y
Step-by-step explanation:
8 times a number (x) is 8 times x = 8x
decreasing by y means take away y... but u should know that right?
lol hope this helps :)
brainliest?
Don't answer if u don't know or I will report ,.,.43/2*487
Answer:
10470.5
Step-by-step explanation:
10470.5. from my aunt
What is the measures of Angle TVX?
40°
U
V
Oь
oc
130 Degrees
115 Degrees
125 Degrees
120 Degrees
There are 4 triangles and 20 squares what is the simplest ratio of triangles to squares
©
Simplify
2 X X X Y
Answer:
The question is not clear
the number -2 is a dolution to which of the following inequalities
Answer:
Step-by-step explanation:
We need the choices please.
I need this ASAP! It is due today.
Answer:
A
Step-by-step explanation:
First expand the 3 and get 7x + 3x - 6 - 4x + 8
All them altogether
7x + 3x = 10x - 4x = 6x
-6 + 8 = 2
Plug in the equation and we get 6x + 2
It cost $36.75 for 3 tickets to visit science center. How much dose it cost for 1
Answer: 12.25 dollars
Step-by-step explanation:
ill give you brainleiesr i cant spell hurry on toimerTen members of Balin’s soccer team ran warm ups for practice. Each member ran the same distance. Their combined distance was StartFraction 5 Over 6 EndFraction of a mile. To find the distance that each member ran, Balin wrote the expression below.
StartFraction 5 Over 6 EndFraction divided by 10
Which expression is equivalent to Balin’s expression?
StartFraction 10 Over 12 EndFraction divided by 10
StartFraction 10 Over 6 EndFraction divided by 5
StartFraction 6 Over 5 EndFraction times 10
StartFraction 5 Over 6 EndFraction times 10
Answer:
A
Step-by-step explanation:
The answer is a trust me man ik ur timed so no time for xplains
A contractor charges $50 for a service call
plus $60 per hour for his work. How long will
he have to work to earn $350?
Answer:
5 5/6 hours
Step-by-step explanation:
Answer:
5 5/6 hours
Step-by-step explanation: