Ms. Lady works-out with Ms. Beetle; her average crawling time has increased to 4 feet per minute, while Ms. Beetle, who is used to eating Hot Cheetos and watching TV, averages 2.5 feet per minute. While at Senn's Elm Tree-house, the three decide to experiment with linear equations. The objective is to end up at the Rose Bush at the same time. Senn still averages 5 feet per minute. How much of a head start does he need to give each of his friends in order for their function rules to intersect at 92 feet (the rose bush). What is the equation for each bug which makes their experiment successful? Create a table and graph representing the situation.
Answers
Answer:
Senn needs to give Ms. Lady 4.6 minutes head start
Senn needs to give Ms. Beetle 18.4 minutes head start
The equation for each bug are;
For Senn, the equation for the experiment is 5 × t₁ = 92 feet
For Ms. Lady, the equation for the experiment is 4 × (t₁ + 4.6) = 92 feet
For Ms. Beetle , the equation for the experiment is 4 × (t₁ + 18.4) = 92 feet
Please find attached the required graph and table of values
Step-by-step explanation:
The given parameters are;
The average crawling time of Ms. Lady = 4 feet per minute
The average crawling time of Ms. Beetle = 2.5 feet per minute
The average crawling time of Senn = 5 feet per minute
The distance to the rose bush = 92 feet
Therefore, we have;
The time, t, duration for Senn to arrive at the Rose bush is given by the following relation,
Time, t = Distance, d/(Speed, s)
Given that the speed of the bugs is equal to their average crawling time, we have
For Senn
Time, t = 92/(5 ft/Min) = 18.4 minutes
For, Ms. Lady
Time, t = 92/(4 ft/Min) = 23 minutes
For, Ms. Beetle
t = 92/(2.5 ft/Min) = 36.8 minutes
Therefore;
Senn needs to give Ms. Lady 23 - 18.4 = 4.6 minutes head start
Similarly, Senn needs to give Ms. Beetle 36.8 - 18.4 = 18.4 minutes head start
The equation for each bug are therefore;
For Senn, the equation for the experiment is given as follows ;
5 × t₁ = 92 feet
For Ms. Lady, the equation for the experiment is given as follows;
4 × (t₁ + 4.6) = 92 feet
For Ms. Beetle , the equation for the experiment is given as follows;
4 × (t₁ + 18.4) = 92 feet.
Related Questions
Vivian's sales territory produced $1.8
million in sales during the year. How
much does she earn if she has a base
salary of $50,000 plus 3% on sales over
$1.5 million?
a.)
$60,000
b.)
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c.)
$59,000
d.)
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Which describes the graph of y= -x^2 +4
Answers
Answer:
0,4
Step-by-step explanation:
Answer:
a ‘V’ shaped graph with vertex at (2, 4), which opens up
i did the test it's rightt
Step-by-step explanation:
What’s the answer for the problems 11-15 in the picture
Answers
Answer:
11.
A) EZ Pay Plan=0.15x
B) 40 to Go Plan=0.05x+40
12.
0.15x=0.05x+40
13.
x=400 minutes
14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.
15. EZ Pay Plan
Step-by-step explanation:
For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.
For 12, you have to find x for the minutes used.
For 13, if you do the process algebraically,
0.15x=0.05x+40
0.10x=40 (subtracted 0.05x from both sides)
x=400 (divided 0.10x and 40 by 0.10)
For 14, (no explanation)
For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.
(sorry for late response)
What is the slope of the equation: x = -2
Answers
Answer:
undefined
Step-by-step explanation
it is a vertical line and has no defined slope
help me if u can q is below
Answers
Step-by-step explanation:
C = 25p
p = number of people
C = Total cost of admission
For 4 people, Total cost is
C = 25 × 4 = 100 dollars
8 x 10^4 is how many times as large as 4 x 10^-5
Answers
Answer:
2 x 10^9
Step-by-step explanation:
There 8 × 10⁴ would be 10⁹ times as large as 4 × 10⁻⁵ which is determined by the division operation.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
We have to determine 8 × 10⁴ is how many times as large as 4 × 10⁻⁵
Apply the division operation to get
⇒ 8 × 10⁴ ÷ 4 × 10⁻⁵
⇒ (8 × 10⁴) / (4 × 10⁻⁵)
Reduce the term of the numerator
⇒ ( 10⁴) / (10⁻⁵)
⇒ ( 10⁴) × (10⁵)
⇒ ( 10⁴⁺⁵)
⇒ 10⁹
Hence, there 8 × 10⁴ would be 10⁹ times as large as 4 × 10⁻⁵ which is determined by the division operation.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ2
whats the answer to this problem 9x+10=2001-X
Answers
Answer: x=1991/10
Step-by-step explanation: Step 1: Simplify both sides of the equation.
9x+10=2001−x
9x+10=2001+−x
9x+10=−x+2001
Step 2: Add x to both sides.
9x+10+x=−x+2001+x
10x+10=2001
Step 3: Subtract 10 from both sides.
10x+10−10=2001−10
10x=1991
Step 4: Divide both sides by 10.
10x
10
=
1991
10
x=
1991
10
Answer:x=199.1
Step-by-step explanation:
Name a pair of complementary angles (there may be more than one pair).
<1 and <5
<1 and 2
<2 and <4
<3 and <4
<5 and <4
Answers
Answer:
∠3 and ∠4
Step-by-step explanation:
In this diagram, angles 3 and 4 are the only pair whose sum is 90°.
In this given figure, [tex]\angle{3}[/tex] and [tex]\angle{4}[/tex] are the only pairs of angles that have the measure of 90°.
So,[tex]\angle{3}[/tex] & [tex]\angle{4}[/tex] are the pair of angles.
▬▬▬▬▬▬▬▬▬▬▬▬Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched horizontally by a factor of 3.
Answers
Answer:
g(x) = |1/3x|
Step-by-step explanation:
f(x) = |x|
y = f(Cx) 0 < C < 1 stretches it in the x-direction
g(x) = |1/3x|
We can start with: f(x) = |x|
0 < c < 1 means x-direction stretch
y = f(cx)
3 unit horizontal stretch
After: g(x) = |1/3x|
Best of Luck!
Can a ray be bisected?
Answers
Such a ray that divides an angle into two equal angles is called an angle bisector.
Likewise, two rays that divide an angle into three congruent angles are called angle trisectors. Figure %:
An angle bisected and trisected On the left, angle ABC is bisected by the ray BD.
Credits to google.
In short, no.
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Answers
Answer:
-4 is the first,-64 is the second,0/14, 1.2,2/3,25/11,4,25
Step-by-step explanation:
yesterday 15 degrees below zero. Write an integer to represent this temperature.
Answers
Answer:
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I hope this helped! :)
Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.
Which inequality can be used to determine the amount of money the family still needs to save?
Answers
Answer:
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Step-by-step explanation:
Answer:
b
Step-by-step explanation:
cause i said so have a problem call my lawyer......
The ceiling in Mitchell’s bedroom measures 12 feet by 10 feet 11 inches. What’s the total area of the ceiling in square inches?
Answers
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Step-by-step explanation:
.666 repeating as a fraction
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Answers
Answer:
2/3
Step-by-step explanation:
6/9 divide three on the numerator and denominator
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divide 2 with 3 and you will 0.666 repeating.
Fred wants to make brownies. To make brownies, he needs 1/4 of a cup of flour per batch of brownies. If Fred has 10 cups of flour, how many batches of brownies can he make?
Answers
he can make like nine batches so ya ya ya ya ya Step-by-step explanation:
The independent variable are the x values or domain and the dependent variable are the y values or range of a function
Answers
Answer:
Yes that is correct
PLEASE HELP I WILL MARK YOU BRAINLIEST
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Answer:
The correct answer is A. The base of the rectangular prism must be 12 units because the height is 2 units, and 2 multiplied by 12 is 24, which is the total volume of the prism.
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Answers
Answer:
116
Step-by-step explanation:
Please help it in fraction form
Answers
If you do the long division correctly, you will get 105 and all you have is 4 left.
Since you are dividing by 61, you do 4/61.
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I hope this helps!
−15 = 5(3q − 10) − 5q
Answers
Answer:
q = 3.5
Step-by-step explanation:
-15 = 5(3q - 10) - 5q
-15 = (5*3q + 5*-10) - 5q
-15 = 15q - 50 - 5q
-15 + 50 = 15q - 5q
35 = 10q
q = 35/10
q = 3.5
Check:
-15 = 5(3*3.5 - 10) - 5*3.5
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Answers
Answer:
-14
Step-by-step explanation:
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Answers
Find the value of the following:|-15|.
Answers
Answer:
The answer is 15 because that absolute value for anything is 15. No matter what number
Step-by-step explanation:
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Answer:
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Answers
Answer:
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A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing. What is the maximum area that can be enclosed
Answers
Step-by-step explanation:
A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.
Perimeter of rectangle (3 sides)= 60 feet
Let 'x' be the width of the wall
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Formula for the area of the rectangle is
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Replace the length we got using perimeter
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To find out the maximum are we take derivative
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find out second derivative to check whether x=15 is maximum
[tex]A''(x)=-2[/tex]
second derivative is negative
So, Maximum area at x=15
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[tex]A(x)=30x-x^2\\A(15)=30(15)-15^2\\A(15)=225[/tex]
So, maximum area is 225 square feet
Use elimination to solve and match each system of equations to the correct solution. 3x+y=11 5x-y=21 Help with this one I’ll give u brainliest
Answers
Answer:
Step-by-step explanation:
3x + y = 11
5x - y = 21
8x = 32
x = 4
3(4) + y = 11
12 + y = 11
y = -1
(4, -1)
Given the equation: y=(x-1)(x+3). what are the x-intercepts? *
Answers
Answer:(
(1,0),(-3,0)
Step-by-step explanation: