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 1

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.

Ms. Lady Works-out With Ms. Beetle; Her Average Crawling Time Has Increased To 4 Feet Per Minute, While
Ms. Lady Works-out With Ms. Beetle; Her Average Crawling Time Has Increased To 4 Feet Per Minute, While

Related Questions

What is the slope of the line in the graph?

-4/3
-3/4
3/4
4/3

Answers

-3/4 that is the slop of the line in graph

Answer: -3/4

Step-by-step explanation: I'M SMART

i will mark brainliest whoever answers first
7x – 4 and 6x – 4 – x

Answers

Answer:

[tex]\large\boxed{5x - 4, 7x - 4}[/tex]

Step-by-step explanation:

7x - 4

This expression cannot be simplified. You cannot subtract a known number from a variable.

6x - 4 - x

This equation can be simplified

Subtract 6x - x

[tex]\large\boxed{5x - 4, 7x - 4}[/tex]

Hope this helps :)

E and F are complementary. If m E = 9x - 38 and mF = 2x + 40, find m F pls I need help

Answers

Answer:

m[tex]\angle[/tex]F = 34°

Step-by-step explanation:

If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°

To find m[tex]\angle[/tex]F add m[tex]\angle[/tex]E and m[tex]\angle[/tex] F and equate it to 90 to find x then substitute it into the expression for m[tex]\angle[/tex]F

Thats

m[tex]\angle[/tex]E + m[tex]\angle[/tex]F = 90

[tex]\rarr[/tex] 9x - 38 + 2x + 40 = 90

[tex]\rarr[/tex] 11x + 2 = 90

[tex]\rarr[/tex] 11x = 90 - 2

[tex]\rarr[/tex] 11x = 88

Divide both sides by 11

x = 8

Now we have

if m [tex]\angle[/tex]F = 9x - 38

m[tex]\angle[/tex] F = 9( 8) - 38

m[tex]\angle[/tex]F = 72 - 38

We have the final answer as

m[tex]\angle[/tex]F = 34°

Hope this helps you

4. Compare/contrast the data sets below. Which data set has a range of 9, a mean of
15, a median of 14, and a mode of 11? How do you know (show work)? Why do the
other choices fail to meet the criteria? State one reason why each of the other
choices fail.
A. 11, 11, 13, 15, 20
B. 5, 11, 14, 14, 31
C. 11, 11, 14, 19, 20
D. 6, 10, 14, 15, 15

Answers

Let's first find the mode of each data set.

Mode = the largest value - the smallest value.

A. 20 - 11 = 9

B. 31 - 5 = 26

C. 20 - 11 = 9

D. 15 - 6 = 9

B fails because its mode does not equal 9.

Let's find the mean of A, C, and D

The mean = the sum of all data values divided by the number of data values.

A. (11 + 11 + 13 + 15 + 20) / 5 = 14.2

C. (11 + 11 + 14 + 19 + 20) / 5 = 15

D. (6 + 10 + 14 + 15 + 15) / 5 = 12

Options A and D fail because their mean does not equal 15.

Let's find the median and mode of option C

Median = the value which falls into the middle of our data set

11, 11, 14, 19, 20 = 14

Mode = the value which appears most often

In option C, 11 appears twice and every other number appears once, therefore, 11 is the mode.

Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number to represent that​ player's movements for those 5 turns.
NEXT
A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started.
The total change is
nothing yards. plsssssssssssssssssssssssssssss help. their i raised the points'

Answers

Answer:

I think that it would be -40

Step-by-step explanation:

I think this because they had to go back 40 spaces because 8 x 5 = 40.

The required number is 40 which represents that player's movements for those 5 turns.

Given that,
Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that​ player's movements for those 5 turns.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,

Total spaces back = 5 * 8
                           =  40

Thus, the required number is 40 which represents that player's movements for those 5 turns.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

por favor ayúdenme en esta ecuación: 5x-3x=6x-8

Answers

Hey there!

ANSWER: [tex]x=2[/tex]EXPLANATION:

[tex]5x-3x=6x-8[/tex]

Combine like terms.

[tex](5x+-3x)=6x-8\\2x=6x-8[/tex]

Subtract 6x from both sides of the equation.

[tex]2x-6x=6x-8-6x\\-4x=-8[/tex]

In the last step, we will divide both sides by -4.

[tex]\frac{-4x}{-4} =\frac{-8}{-4} \\x=2(ANSWER)[/tex]

Hope this helps and have a great weekend!

[tex]\text{-TestedHyperr}[/tex]

Answer: x = 2

Step-by-step explanation: Aquí esta :

Simplificar 5x - 3x y eso se de 2x

1.) 2x = 6x-8

Sustraer 6x-2x

2.) 2x-6x= -8

Y entonces deberías haber obtenido 4x

3.) -4x=-8

Dividir ambos lados por -4

4.) x = -8/-4

Dos negativas hacen una positivo

5.) x = 8/4

Finalmente, la repuesta es :

6.) x = 2

area of a isocles triangle whose both sides are 5 cm and one side 4cm​

Answers

Answer:

9.17cm (3s.f.)

Step-by-step explanation:

Using Pythagoras Theorem,

5² = 2² + (Height of Triangle)²

Height of Triangle = 4.5826cm (5s.f.)

Area = ½ × 4 × 4.5826

= 9.1652cm (5s.f.)

= 9.17cm (3s.f.)

reflect point R(6,10 ) over the y-axis. The coordinates for R' are

Answers

Answer: (6,-10)

Step-by-step explanation:

When you reflect a point over the y-axis, the sign of the number changes. It goes from negative to positive and positive to negative. Since both our numbers are positive, only the y-coordinate become negative because it is only being reflected over the y-axis, not x-axis. (6,-10)

1/12 divided by 1/3 answer plzzzzzzzzzz

Answers

Answer:

.25 or 1/4

Step-by-step explanation:

Answer:

hello your answer is 36

Step-by-step explanation:

hope i helped

Suppose y varies inversely with x. If y = 150 when x = 2, find y when x = 25.

Answers

Answer is 12

I hope this helps enough

First person to answer gets brainliest find the domain and range of the following absolute functions . F(x)=|x+6|

Answers

Answer:

yes

Step-by-step explanation:

Answer:

B is the answer to f(x)= |x+6|

Step-by-step explanation:

I used desmos for these types of problems and looked at the table.

can ssome oone heelp me imm inn kinder garden and mmy teacher said what is 1 plus 1 plessssssssssssssssssssssss help me

Answers

Answer:

Step-by-step explanation: Ok So pretend you have one apple and your friend gives you another apple how much would you have... Answer is "2"

Answer: so it is 2

Step-by-step explanation: if one friend said I have 1 bike and you said you have 1 bike that would be 2. So 1 bike + 1 bike= 2 bikes

sin

sin 70°/cos20°+cosec36°/sec54°-2cos43°cosec47°
HELP PLEASS FAST​

Answers

Answer:

-2.59x10^15

Step-by-step explanation:

Please help ! Easy 7th grade math . It’s talking about integers !!

Answers

Answer:

#7- 10

#8- 2

#9- 8

Step-by-step explanation:

1. Which of the following is an equation for the
inverse of the function f(x)
3x + 1 ?

Answers

Answer:

f^-1(x)=x/3-1/3

Step-by-step explanation:

need help can someone explain this problem
please.​

Answers

The perimeter = the sum of the length of each side.

The shape with missing sides is a rectangle, and we know that rectangles have equal opposite sides.

The top of the rectangle = 3.5 and now we know all the values of each side.

3.5 + 3.5 + 2.4 + 2 + 2 = 13.4 cm.

The perimeter = 13.4cm

The point (17, -9) is translated to the point (6, 2) what is the description of the translation

Answers

down 11 units and right 7 units.

What are the 2 steps that are wrong

Answers

Answer:

Step-by-step explanation:

Step 2 to Step 3.

This is a major error. Minus signs always create trouble.

4 - 21 = -17

To this you add 30

- 17 + 30 = 13

So the answer is sqrt(13)

Answer:

Step 3 to step 4

Trapezoid ABCD is reflected over the line y - x. What rule shows the input and output of the reflection, and what is the new coordinate of A (1 point)
B
0
A
(X,Y)--(-x): A is at (1,5)
(X,Y) (YX); A' is at (1-5)
(x,y)--(-x,y); A' is at (5, 1)
(x,y)--(-X, "): A' is at (5, -1)

Answers

Answer:

(x,y)--(-X, "): A' is at (5, -1)

Step-by-step explanat

Answer:

(x,y)→(−x,−y); A' is at (5, −1)

Step-by-step explanation:

cuál es el resultado de esto (4^3) (5^6)?

Answers

Answer:

100³ or 1000000 or 10^6

Step-by-step explanation:

(4³)(5^6)

(20³)(5³)

(20×5)³

100³

Answer:

I think that the answer would be 1000000

Idk how to do this. Please help?

Answers

Answer:

Is that algebra??

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

1. Distance = √((√5)^2 + (-1)^2)

= √(5 + 1)

= √6.

2. √(1^1 + (-2)^2)

= √5.

3. √(4^2 + 3^2)

= √(16 + 9)

= √25

= 5.

4. √(6)^2 + (-8)^2)

= √(36 + 64)

= √100

= 10.

m(x) = 4x + 15; m(x) = 7

Answers

Hi there! :)

[tex]\huge\boxed{x = -2}[/tex]

m(x) = 4x + 15

Find the value of "x" that would satisfy m(x) = 7:

4x + 15 = 7

Subtract 15 from both sides:

4x = -8

Divide both sides by 4:

x = -2.

Solve the equation for the variable.

[tex] \frac{2}{5} x + 15 = x - 6[/tex]
x = [?]​

Answers

X= 35 hope this helpsss

Answer:

x = 35

Step-by-step explanation:

[tex]\frac{2}{5} x + 15 = x - 6[/tex]

First multiply through by 5 to eliminate the fraction

That's

[tex]5 \times \frac{2}{5} x + 15(5) = 5x - 30 \\ 2x + 75 = 5x - 30[/tex]

Next using the subtraction property subtract 5x from both sides

That's

[tex]2x - 5x + 75 = 5x - 5x - 30 \\ - 3x + 75 = - 30[/tex]

Next subtract 75 from both sides

[tex] - 3x + 75 - 75 = - 30 - 75 \\ - 3x = - 105[/tex]

Divide both sides by - 3

[tex] \frac{ - 3x}{ - 3} = \frac{ - 105}{ - 3} [/tex]

We have the final answer as

x = 35

Hope this helps you

When a snack bar opens, the cash register contains at least 50 dollars in $1 and $5 bills. Which of these inequalities represents this situation, where x is the number of $1 bills and y is the number of $5 bills?

Answers

Answer:x + 5y is greater than or equal too $50

Step-by-step explanation:

If x is equal to the amount of $1 then there is no need for a coefficient. Being that y is represented as $5 there needs to be a coefficient of because it’s five dollars times however many you have. Then it is greater than or equal to $50 because the problem states there is at least $50 in the register.

The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?

Answers

Answer:

12/35

Step-by-step explanation:

Given the expression;

-4/5(3/5)(-6/7)(5/6)

First multiply the first two brackets

-4/5×3/5

= -12/25

Multiply the last expression in its lowest term

= -6/7×5/6

= -30/42

= -15/21

= -5/7

Multiply the resulting expressions together

= -12/25×-5/7

= -12/5×-1/7

= 12/35

Hence the beat estimate for the actual product is 12/35

Answer:

B

Step-by-step explanation:

Took the test ;)

One car alarm is set to go off every ten seconds. Another car alarm is set to go off every 5 seconds, and a third car alarm is set to go off every 4 seconds. If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?

Answers

Answer:

20 seconds

Step-by-step explanation:

Alarm 1 = every 10 seconds

Alarm 2 = every 5 seconds

Alarm 3 = every 4 seconds

If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?

To determine how long it will take until they all sound at the same time again, find the lowest common multiple of the three alarm

Alarm 1 (every 10 seconds) = 20, 30, 40, 50, 60, 70, 80, 90,

Alarm 2 (every 5 seconds) = 10, 15, 20, 25, 30, 35, 40, 45, 50

Alarm 3 (every 4 seconds) = 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

The lowest common multiple of Alarm 1 (every 10 seconds), Alarm 2 (every 5 seconds) and Alarm 3 (every 4 seconds) is 20 seconds

Therefore, they will all sound at the same time again in the next 20 seconds

f(x) = h•g+1
h(x)= 3(x - 1) – 2(2x + 1
g(x)= 8 + 2(x - 1)

Answers

Answer:

g = y - 1/h

h = −x − 5/x

g = 2x + 6/x

HELP PLEASE!!! Evaluate the expression 12 + {-4 + 2[1 + 3(-5 – 3)]} and enter your answer.

Answers

answer: -42
explanation: you start with the innermost parentheses and work out

c. If h(x) = x2 − x − 12, the value of h(3) is __________.

Answers

Answer

h(x)= x^2-x-12

(3)^2-3-12

9-3-12

12-12

0

Step-by-step explanation:


© Kin travels 600 miles by train at an average speed of 120 mph.
Ayaan flies the same distance at an average speed of 160 mph.
Find the difference between their travel times.
Give your answer in hours.
Please answer asap!!​

Answers

Answer: 1.25 hours

Step-by-step explanation: 600/120=5. Kin‘s travel time is 5 hours. 600/160=3.75. 5-3.75=1.25.

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