Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph. if they drive along the same route, how long will it take Mitchell to catch Peter?

Answer: k=1

Step-by-step explanation: Isolate the variable by dividing each side by factors that do not contain the variable.

I hope this helps you out! :)

Step-by-step explanation:

the answer would be k=1

Train A's speed = x

Train B's speed = x + 10

4.5(x + x + 10) = 432

Distribute both sides by 4.5

x + x + 10 = 96

Combine like terms.

2x + 10 = 96

Subtract 10 from both sides.

2x = 86

Divide both sides by 2

x = 43

Train A = x = 43 mph

Train B = x + 10 = 43 + 10 = 53 mph

Speed is the ratio of distance and time.

Speed = Distance /Time

Distance = Speed x Time

If Train B travels 10 mph faster than Train A.

The speed of train A is 48 mph.

The speed of train B is 58 mph.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

Example:

The speed of a car moving 4km in 2 hours is 2km per hour.

We have,

Train A:

Speed = x

Train B:

Speed = x + 10

Speed = Distance / Time

Distance = Speed x Time

At time = 4.5 hours, the train is 432 miles apart.

This can be written as,

Distance = (Speed of train A + Speed of train B)  x Time

432 = (x + x + 10) x 4.5

Divide both sides by 4.5.

432 / 4.5 = 2x + 10

96 = 2x + 10

Subtract 10 on both sides.

96 - 10 = 2x

86 = 2x

Divide both sides by 2.

2x = 96

x = 96/2

x = 48

Now,

x + 10 = 48 + 10 = 58

Thus,

If Train B travels 10 mph faster than Train A.

The speed of train A is 48 mph.

The speed of train B is 58 mph.

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Step-by-step explanation:

16.2 = 2.7(h+1)

2.7(h+1) = 16.2

(h+1) = 16.2 ÷ 2.7

h+1 = 6

h = 5

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{h = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: \: 16. 2 = 2.7( \: h \: + \: 1)}}[/tex]

[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation

[tex] \longmapsto{ \sf{2.7(h + 1) = 16.2}}[/tex]

[tex] \tt{Step \: 2 \: }[/tex] : Distribute 2.7 through the parentheses

[tex] \longmapsto{ \sf{2.7 \times h + 2.7 \times 1 = 16.2}}[/tex]

[tex] \longmapsto{ \sf{2.7h + 2.7 = 16.2}}[/tex]

[tex] \tt{Step \: 3 \: }[/tex] : Move 2.7 to right hand side and change it's sign

[tex] \longmapsto{ \sf{2.7h = 16.2 - 2.7}}[/tex]

[tex] \tt{Step \: 4 \: }[/tex] : Subtract 2.7 from 16.2

[tex] \longmapsto{ \sf{2.7h = 13.5}}[/tex]

[tex] \tt{Step \: 5 \: }[/tex] : Divide both sides by 2.7

[tex] \longmapsto{ \sf{ \frac{2.7h}{2.7} = \frac{13.5}{2.7}}} [/tex]

[tex] \tt{Step \: 6 \: }[/tex] : Calculate

[tex] \longmapsto{ \sf{h = 5}}[/tex]

The value of h is 5

Hope I helped!

Best regards! :D

~TheAnimeGirl

The value of a2 and a3 given the formula an = 6an – 1 are -61 and -91 to respectively

Given:

an = 6an – 1

where,

a1, = first term= -5

n = number of terms

a2 = second term

a3 = third term

an = 6an – 1

a2 = (6 × -5 × 2) - 1

= (-60) - 1

= -60 - 1

a2 = - 61

an = 6an – 1

a3 = (6 × -5 × 3) - 1

= -90 - 1

a3 = -91

Therefore, the value of a2 and a3 are -61 and -91 respectively

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Answer:

1

Step-by-step explanation:

x⁶+y⁴+x³+y² correct?

There's nothing you could factor from this that would make anything look nicer. So the GCF is just 1.

Answer:

your going to have to be a little more specific than that please ;-; but if you want i can answer it this way

Reach a fabled level of success that makes you untouchable.

Create a positive work/life balance.

Feel as capable as others think you are.

Be more productive with each minute of the day.

Be recognized as talented or even brilliant.

People want dreams, goals, values and expectations in their life.

Life is the quality which people, animals, and plants have when they are not dead, and which objects and substances do not have

Given is a statement that asks about the specific things that people want in life.

The specific things that people want in life are dreams, goals, values and expectations.

Therefore, people want dreams, goals, values and expectations in their life.

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Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2}}}}}[/tex]

Step-by-step explanation:

Let the missing integer be x

Solve for x

[tex] \sf{ - 3 - x = - 5}[/tex]

Move 3 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{ - x = - 5 + 3}}[/tex]

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \dashrightarrow{ \sf{ - x = - 2}}[/tex]

Change the signs of both sides

[tex] \dashrightarrow{ \boxed{ \sf{x = 2}}}[/tex]

Hope I helped!

Best regards! :D

Answer:

A. From 2005 to 2009, both assets and liabilities decrease.

Step-by-step explanation:

I just took the test and it was correct

From 2005 to 2009, both Assets and Liabilities decreased.

We have - A table showing the assets and liabilities of smith family in year 2005 and 2009.

We have to estimate, whether the smith family has acquired more assets or liabilities from the year 2005 to 2009.

Assets are the items that an individual own in order to extract some economic benefit from it in the future.

Liability includes the money, services or items that you owe to other person. Example : Loan, mortgage etc.

In the question given -

In the year 2005 :

In the year 2009 :

Hence, it can be seen from the above figures that - From 2005 to 2009, both Assets and Liabilities decreased.

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Answer:

The answer is C. Left-Skewed

Answer:

[tex]\frac{\sqrt{14} }{4}[/tex]

Answer:

x^2 - 25 ✔

Step-by-step explanation:

(x+5)(x-5)

x(x-5) +5(x-5)

x^2 - 5x + 5x - 25

x^2 - 25

Answer:

2x + 4 = 8

Step-by-step explanation:

This is the answer because:

1) 2 times a number is representing 2 multiplied with an unknown number, so we can use a variable (x) to represent the number

2) "and" is representing adding. Therefore, 2x + 4 is what is representing the sentence "The sum of 2 times a number and 4"

3) Finally, "equal to 8" is representing how the expression: 2x + 4 is eual to 8

Therefore, the correct equation is 2x + 4 = 8

Hope this helps!

Answer: x = 7

Step-by-step explanation: 16x = 4x + 84

15) The value of x would be 20.

16) The measure of angle BFH would be 100.

17) The value of x is, 7

Used the concept of angles in a parallel line which states that,

if a transversal intersects two parallel lines, the corresponding angles will be always equal.

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.

Given that,

In Figure 15, both angles are corresponding angles.

And, in Figure 17, both angles are Alternate angles.

Now, by definition of Alternate and Corresponding angles we get;

17) The angles DBF and angle EFB are congruent.

So, it can be equal.

16x = 4x+ 84

Subtract 4x on both sides,

16x - 4x = 84

12x = 84

Divide 12 on both sides,

x = 84/12

Therefore, the value of x is,

x = 7

15) The angles of CBD and BFH are conguent.

So, It can be equal.

5x = 3x + 40

Subtract 3x on both sides,

5x - 3x = 40

2x = 40

Divide 2 on both sides,

x = 40/2

x = 20

16) So, the measure of angle BFH is,

∠BFH = 3x + 40

= 3 × 20 + 40

= 60 + 40

= 100

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Answer:

b=18

Step-by-step explanation:

b+17=35

    -17   -17

b=18

Answer:

a) 27.6%

b) 68.6%

c) 81.6%

d) 59.0%

e) 40.2%

Step-by-step explanation:

Let's say R = recycles, and B = believes bags should be banned.

We're given the following probabilities:

P(B) = 0.54

P(R and B) = 0.41

P(R given NOT B) = 0.60

a. Use conditional probability:

P(R given NOT B) = P(R and NOT B) / P(NOT B)

0.60 = P(R and NOT B) / (1 − 0.54)

P(R and NOT B) = 0.276

b. P(R) = P(R and B) + P(R and NOT B)

P(R) = 0.41 + 0.276

P(R) = 0.686

c. P(R or B) = P(R) + P(B) − P(R and B)

P(R or B) = 0.686 + 0.54 − 0.41

P(R or B) = 0.816

d. P(NOT R or NOT B) = 1 − P(R and B)

P(NOT R or NOT B) = 1 − 0.41

P(NOT R or NOT B) = 0.59

e. P(NOT B given R) = P(NOT B and R) / P(R)

P(NOT B given R) = 0.276 / 0.686

P(NOT B given R) = 0.402

Using conditional probability, it is found that:

a) 0.276 = 27.6% probability that the adult recycles and does not believe that plastic, noncompostable shopping bags should be banned.

b) 0.686 = 68.6% probability that the adult does recycle.

c) 0.816 = 81.6% probability that the adult does recycle or does believe that plastic, noncompostable shopping bags should be banned.

d) 0.59 = 59% probability that the adult does not recycle or does not believe that plastic, noncompostable shopping bags should be banned.

e) 0.402 = 40.2% probability that the adult does not believe that plastic, noncompostable shopping bags should be banned given that the adult does recycle.

-----------------------------------

Conditional probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]  

Item a:

Event A: Bags should not be banned.

Event B: Recycle.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(A)P(B|A) = 0.46(0.6) = 0.276[/tex]

0.276 = 27.6% probability that the adult recycles and does not believe that plastic, noncompostable shopping bags should be banned.

Item b:

First, we have to find the proportion that recycle, given that they believe bags should be banned. Thus:

54% of adults surveyed believed that plastic, noncompostable shopping bags should be banned.

Thus [tex]P(A) = 0.54[/tex].

41% of adults regularly recycle aluminum cans and believe that plastic, noncompostable shopping bags should be banned.

Thus P(A \cap B) = 0.41[/tex]

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.41}{0.54} = 0.7592[/tex]

The probability that recycle is the sum of:

Then:

[tex]p = 0.6(0.46) + 0.7592(0.54) = 0.686[/tex]

0.686 = 68.6% probability that the adult does recycle.

Item c:

Sum of:

Thus:

[tex]p = 0.686 + 0.2408(0.54) = 0.816[/tex]

0.816 = 81.6% probability that the adult does recycle or does believe that plastic, noncompostable shopping bags should be banned.

Item d:

Sum of:

Thus:

[tex]p = 0.314 + 0.276 = 0.59[/tex]

0.59 = 59% probability that the adult does not recycle or does not believe that plastic, noncompostable shopping bags should be banned.

Item e:

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.276}{0.686} = 0.402[/tex]

0.402 = 40.2% probability that the adult does not believe that plastic, noncompostable shopping bags should be banned given that the adult does recycle.

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Answer:

The answer to your question: x is -1/3 or 1

Answer:

14.25

Step-by-step explanation:

Answer:

25 cents

Step-by-step explanation:

Answer:

25 cents

Step-by-step explanation:

25 cents times 4 is $1

think of quarters

Answer:

[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]

Step-by-step explanation:

The given augmented matrix is

[tex]\left[\left.\begin{matrix}3 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}21\\ 5\\ 5\end{matrix}\right][/tex]

Here, we need to perform the row operation [tex]\dfrac{1}{3}R_1[/tex] and replace [tex]R_1[/tex] in the above matrix.

So, divide each element of [tex]R_1[/tex] in the given matrix and other elements remain same.

[tex]\left[\left.\begin{matrix}\dfrac{3}{3} & \dfrac{0}{3} & \dfrac{0}{3}\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}\dfrac{21}{3}\\ 5\\ 5\end{matrix}\right][/tex]

[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]

Therefore, the required matrix is  [tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex].

Answer:

is an=6n+3 your question?

Step-by-step explanation:

Answer:

Common Difference (d) =6

5th term = 33

Step-by-step explanation:

[tex]a_n= 6n +3.... (given) \\

Plug\: n = (n +1)\\

a_{(n+1)}= 6(n+1) +3 = 6n + 6 +3 = 6n + 9\\

Common \: Difference \: (d) = a_{(n+1)} - a_n\\

= 6n + 9 - (6n+ 3)\\

= 6n + 9 - 6n - 3\\

= 9-3\\

\red{\boxed{\bold {Common \: Difference \: (d) =6}}} \\

Plug \: n = 5 \: in\: a_n= 6n +3\: we \: find:\\

a_5= 6\times 5+3= 30 + 3 = 33\\

\huge\purple {\boxed {a_5= 33}} \\[/tex]

Answer:

(-2,-1)

Step-by-step explanation:

Right now, P is at (3,-4).  After the translation, it would be at

(-2,-1)

Answer: It’s A, 655.

The total number of different tunes will a member who attended all meetings have heard during the year is 655 and this can be determined by using the given data.

Given :

The total number of slots is given by:

[tex]50\times 20 = 1000[/tex]

So, the total number of tunes in each slot is 1000.

The total number of remaining tunes is given by:

[tex]=1000-(400+450)[/tex]

= 150

According to the given data half of the remaining tunes were played thrice that is 75 tunes were played thrice and only 5 other tunes were played out of the remaining 75 tunes.

So, the total number of tunes a member will hear is given by:

[tex]=400+\dfrac{450}{2}+\dfrac{75}{3}+5[/tex]

= 655

So, the total number of different tunes will a member who attended all meetings have heard during the year is 655.

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Answer:

2.0625 feet

Step-by-step explanation:

The S-Scale ratio is 1:64, so the answer is just 132/64, or 2.0625.

If you're building a miniature locomotive, good luck man

Answer:

i think the answer is A

Step-by-step explanation:

if u select the answer C then he will not be able to collect at least 1000

each week but he can collect less.

as remaining 6 weeks and remaining signatures at least(point to be noted)

1000-520=480

so each week he will collect at least= 480/6=80 its at least but he can collect more than 80 because the limit is at least 1000.......

so the answer is including 80 or more than that....that means the answer is A.......THANK U(I think its the answer but not 100% sure)

Answer:

  33 1/3 lb

Step-by-step explanation:

When the distance between them goes from 8 ft to 12 ft, it is 1.5 times what it was. Then the force will be multiplied by the inverse of the square of this:

  (75 lb)×1/(1.5²) = 75/2.25 lb = 33 1/3 lb

At 12 feet apart, the attraction force is 33 1/3 pounds.

Answer:

50 kg

Step-by-step explanation:

got deleted last time so here we go again

divide net force by the accaleration to get 50

Answer: 0.75

Step-by-step explanation:

Given the following :

Using the formula above :

___bag 1__bag 2__(bag1-m)/sd__(bag2-m)/sd2

D 1___2____4_____-0.8________-0.4

D 2___4____5_____0_________0

D 3___1____3_____-1.2_________-0.9

D 4___6___ 4_____0.8_________-0.4

D 5___7___9_____ 1.2_________ 1.7

Bag1:

Mean = 4

Standard deviation = 2.5

Bag2:

Mean = 5

Standard deviation = 2.3

Σ-0.8*-0.4 + 0 + - 1.2*-0.8 + 0.8*-0.4 + 1.2*1.7) = 3

1/ (n-1) × 3

1/(5 - 1) × 3

(1/4) × 3

0.25 * 3 = 0.75

Answer:

0.75

Step-by-step explanation:

Answer:

1) Variables = 11a , 4a

  Constants = 0

  Coefficients = 11 , 4

2) Variables =  3x , 7x

   Constants = 6 , -4

   Coefficients = 3 , 7 , 6 , -4

3) Variables = -12m , +4m

   Constants = -3 , 16

   Coefficients = -12 , 4 , -3 , 16

4) Variables = 6k , k

   Constants = -4 , -2

   Coefficients = 6 , 1 , -4 , -2

5) Variables = -5p , -2p

   Constants = 3 , 13

   Coefficients = -5 , -2 , 3 , 13

6) Variables = -10r , -r , -6r

   Constants = 11

   Coefficients = -10 , -1 , -6 , 11

7) Variables = -5n

   Constants = 19 , -8 , 14

   Coefficients = -5 , 19 , -8 , 14

8) Variables = 13y , -2y

   Constants = 18 , -5

   Coefficients = 13 , -2 , 18 , -5

9) Variables = 8a , 3a , -7b , -2b

   Constants = 1

   Coefficients = 8 , 3 , -7 , -2 , 1

10) Variables = 11x , 2x , -4y

   Constants = 8

   Coefficients = 11 , 2 , -4 , 8

Step-by-step explanation:

Answer:

The fewest amount number of boards Shawn can cut from is 3.... Im not very sure... Ive been stuck on this answer, too