A police car drives with a constant speed of 64 mph. How far can it travel in 2 hours?

Answer:

(A) [tex]y = x+3[/tex]

Step-by-step explanation:

Using the values of (-6, -3), (3,6), and (5,8) we can substitute the values into each equation and see if the equation meets the requirements for all 3.

Let's test A first.

[tex]-3 = -6+3[/tex]

Correct, let's try the second pair.

[tex]6 = 3+3[/tex]

Correct, let's try the third pair.

[tex]8 = 5+3[/tex]

So yes, this equation works.

For fun, let's try the other equations.

Let's test B.

[tex]-3 = -6-3[/tex]

This is not true as -6 -3 = -9. So this equation is immediately ruled out.

Let's test C.

[tex]-3 = 2\cdot-6[/tex]

Again this doesn't work, as -6 times 2 is -12. So this equation is also ruled out.

Let's try D.

[tex]-3 = \frac{1}{2}\cdot-6[/tex]

This works, as half of -6 is -3 - however the equation will only work if all 3 pairs work for it.

Let's try the second pair.

[tex]6 = \frac{1}{2}\cdot3[/tex]

This doesn't work, as half of 3 is 1.5. This equation is also ruled out.

Therefore, A is the only equation that works with these pairs.

Hope this helped!

Answer:

$38

Step-by-step explanation:

cost of ticket for adult = $22

cost of ticket for youngster = $16

______________________________

cost of ticket for John's mom = $22 as she is adult

cost of ticket for john = $16 as he is young , his age is less than 18 years

Total cost of ticket for John and his mother = $22 + $16 = $38

The answer is Like terms.

Hi there! Hopefully this helps!

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"Two more than five times a number x.​" means:

2 + 5 × x

Answer:

b=13

Step-by-step explanation:

2|208

2|104

2|52

2|26

 |13

208=2^4×13=16×13

now (16,13)=1

as a is an even number so a=16

b=13

∵g.c.d of 16 and 13=1

or (16,13)=1

Answer:

$6.67

Step-by-step explanation:

$20/3 people

20/3

=6 2/3

=6.67

Each person gets $6.67.

Hope this helps!

Answer: Hi!

If you split a $20 dollar bill evenly in three parts, each person would get about $6.67 dollars. (If you divide 20 by 3, you get a recurring decimal, so it would round to 6.67.)

Hope this helps!

Answer:

x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{w}[/tex] + [tex]\frac{3}{x}[/tex] - [tex]\frac{4}{y}[/tex] = [tex]\frac{1}{z}[/tex]

Multiply through by wxyz to clear the fractions

2xyz + 3wyz - 4wxz = wxy ( subtract wxy from both sides )

2xyz + 3wyz - 4wxz - wxy = 0 ( subtract 3wyz from both sides )

2xyz - 4wxz - wxy = - 3wyz ( factor out x from each term on the left side )

x(2yz - 4wz - wy) = - 3wyz ( divide both sides by (2yz - 4wz - wy )

x = [tex]\frac{-3wyz}{2yz-4wz-wy}[/tex] ( multiply numerator/ denominator by - 1 )

x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]

Answer:

The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Step-by-step explanation:

The outcomes provided are:

(A) 0, 1, 2, 6, 7, 8

(B) 0, 1, 2, 7, 8

(C) 0, 1, 7, 8

(D) 0, 1, 2, 8

Solution:

The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.

The probability of X is:

P (X) = 0.65

The number of employees selected is:

n = 8

An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.

Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.

Compute the value of P (X = 2) as follows:

[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]

                [tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]

So X = 2 is unusual.

Similarly check for X = 6, 7 and 8.

P (X = 6) = 0.2587 > 0.05

X = 6 not unusual

P (X = 7) = 0.1373 > 0.05

X = 7 not unusual

P (X = 8) = 0.0319

X = 8 is unusual.

Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Answer:

10 - 4y

Step-by-step explanation:

Combine like terms.  12, 21 and -23 add up to 10, and -5y + y is -4y.

Then, together, we have 10 - 4y (answer)

Answer:

[tex]\large\boxed{10 - 4y}[/tex]

Step-by-step explanation:

12 - 5y + 21 + y - 23

Combine like terms (add -5y to + y)

12 + 21 - 4y - 23

Add 12 + 21

33 - 4y - 23

Subtract 23 from 33

[tex]\large\boxed{10 - 4y}[/tex]

This is the simplest form of the expression.

Hope this helps :)

Answer:

F , D, E

Step-by-step explanation:

The smallest angle is opposite the smallest side

The largest angle is opposite the largest side

DE is smallest so F is smallest

Then EF so D

DF is largest so E is the largest angle

Answer:

A. 4y + 3 = 15

B. y = 3

Step-by-step explanation:

Three is added to four times a number, the result is 15

A. Equation to represent the above information:

Let the unknown number= y

4 * y + 3 = 15

4y + 3 = 15

B. Solve your equation in (a)​

4y + 3 = 15

Collect like terms

4y = 15 - 3

4y = 12

Divide both sides by 4

4y / 4 = 12 /4

y = 3

Therefore, the unknown number is 3

Answer:

.109090909 miles per hour

Step-by-step explanation:

To find miles per hour, take the miles and divide by the hours

12 miles/110 hours

.109090909 miles per hour

Answer:

0.11

Step-by-step explanation:

Hello!

To find how many miles Lilli jogs per hour we divide the distance by the time it took

12/110 = 0.109

The answer is 0.11

Hope this helps!

Answer:

Step-by-step explanation:

2(6y - 5) = 2

12y - 10 = 2

12y = 12

y = 1

x = 6(1) - 5

x = 6 - 5 = 1

(1,1)

Answer: (1,1)

Step-by-step explanation: 2(6y - 5) = 2

12y - 10 = 2

12y = 12

y = 1

x = 6(1) - 5

x = 6 - 5 = 1

(1,1)

sine and cosecant.

you can see the graph or on unit circle, as the for these ratios, (which depend on y coordinate) 1st and 2nd quadrant have positive y coordinate

Answer:

Step-by-step explanation:

y = -5x + 3 ........... Equation 1

y = 1 ................ Equation 2

To solve the equation substitute equation 2 into equation 1

That's

Substitute y = 1 into y = - 5x + 3

So we have

1 = - 5x + 3

Group like terms

- 5x = 1 - 3

- 5x = - 2

Divide both sides by - 5

x = 2/5

Substitute x = 0.4 into equation 1

That's

y = - 5( 0.4 ) + 3

y = - 2 + 3

The solution for the system of equations is

Hope this helps you

Answer:

A. (0.4, 1)

Step-by-step explanation:

just took the edg. 2020 unit test

Answer:

Option D

Step-by-step explanation:

Given

[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]

Required

Determine if the function is quadratic

[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]

Start by representing the function as an x-y table

x:-  5 || 7 || 9 || 11

y:-  7 ||  11 || 14 || 18

Next; Calculate the difference between the values of y

[tex]Difference: 11 - 7 = 4[/tex]

[tex]Difference: 14 - 11 = 3[/tex]

[tex]Difference: 18 - 4 = 4[/tex]

The resulting difference are: 4 || 3 || 4

Next; Calculate the difference between the difference of values of y

[tex]Difference = 3 - 4 = -1[/tex]

[tex]Difference = 4 - 3 = 1[/tex]

The resulting difference are: -1 || 1

For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.

Option D answers the question

Answer:

Step-by-step explanation:

Since < RQS = < QLK and < RQS = x

< QLK is also x

< QLK and < KLM lie on a straight line

Angles on a straight line add up to 180°

To find x add < QLK and < KLM and equate them to 180°

That's

< QLK + < KLM = 180°

x + x - 36 = 180

2x = 180 - 36

2x = 144

Divide both sides by 2

We have the final answer as

Hope this helps you

Answer:

peter: subtraction mistake at unit place . wrote 6 in place of 9

Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3

peter: He has written 3 at unit place while correct digit is 2

John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.

Step-by-step explanation:

we have to subtract 503 from 269

      9

  4 10 13

    503

   -269

    ____

     234

Solution

since 3 is less than 9 , we take a carry from 0 but 0 cannot be carries so we take 1 carry from 5\

thus

5 becomes 4, 0 becomes 10,

now 10 can be give  1 carry to 3 at unit place, so 3 becomes 13

now 9 is subtracted from 13

13-4 = 9

this is the mistake of Peter

he has written 6 at unit place which should be

peter: subtraction mistake at unit place . wrote 6 in place of 9

____________________________________________________

since , 1 is carried from 10 at tens place, 9 is left at tens place

so we know subtract 6 from 9 at tens place

9-6 = 3

Here mistake is done by Jeff

Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3

________________________________________________

at hundred place,

one is taken from 5 , hence 4 is left at hundred place

we have to subtract 2 from 4

4-2 = 2

hence,

Here, mistake done by both both Peter and jeff

peter: He has written 3 at unit place while correct digit is 2

John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.

Answer:

20.78feet

Step-by-step explanation:

The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.

tan= opposite side / adjacent side

Let height of the pole =h

Tan(30)= h/36

But tan 30degree= 1/√3

h= 36 × 1/√3

h= 20.78feet

Therefore, the height of the pole= 20.78feet

CHECK THE ATTACHMENT FOR DETAILED FIGURE

Answer:

B. 12\sqrt{3} ft

Step-by-step explanation:

Answer:  3(7+12) - 2

Step-by-step explanation:

Answer:

6b^2 +4b

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 * (3b+2) * (4b)

    =1/2 (12 b^2 +8b)

   = 6b^2 +4b

Answer:

992

Step-by-step explanation:

Divide 1000 by 26.

The answer is 38 and some left over. We don't care what the leftover is because it is nearly 0.5 and that means 13 people were left over.

Take the integer value (38) and multiply it by 26. You get 988.

You want there to be 4 left over. 4 + 988 = 992. That's one way of doing the problem.

Answer: 940 people is the maximum

==========================================

Explanation:

n = 1 means 20n = 20*1 = 20 members total, which is 4 short of making a row of 26 (so the remainder is 20)

n = 2 means 20n = 20*2 = 40 members. 40/26 = 1 remainder 14. We could make one full row with 14 members left over.

20n < 1000 solves to n < 50 after dividing both sides by 20. This means n is smaller than 50. It has to be larger than 0 or else 20n would be 0 or negative. We can write 0 < n < 50 to specify the range for n.

Since n < 50, this means the largest n can get is n = 49.

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

If n = 49, then 20n = 20*49 = 980

980/26 = 37 remainder 18, which isn't the remainder we want (of 4).

If n = 48, then 20n = 20*48 = 960

960/26 = 36 remainder 24, again not the remainder we want

If n = 47, then 20n = 20*47 = 940

940/26 = 36 remainder 4

If we have 940 members, then we can form 36 rows (26 in each row). So 26*36 = 936 people so far. Then we have 940-936 = 4 people left over.

There are other solutions as well such as n = 34, n = 21, and n = 8. Though n = 47 is the largest n possible to fit all the conditions required.

Answer: 33

First you divide 55 by 5 to get the total number of squares in one part, which equals 11. Then you multiply by 3 since there are 3 parts of green squares to get your answer, 33.

Answer:

32

Step-by-step explanation:

2^5

This is 2 multiplied by itself 5 times

2*2*2*2*2

32

Answer:

Infinite Amount of Solutions

Step-by-step explanation:

Since we have concurrent systems (same slope + same y-int), we know that the systems of equations would be the exact same line. If that is the case, the we would know that ANY value input would work. You could even test it mathematically, and it would give you infinite amount of solutions.

Answer:

Step-by-step explanation:

Adding both equations

4x+5y+5y-4x=19+38

10y = 57

y= 5.7

Subtracting equation i from ii

5y-4x-4x-5y=38-19

-8x=9

x= -0.9

Answer:

(i) x = 67/4

(ii) x = 2/3

Step-by-step explanation:

(i)

5x + 3/4 - 2x - 4/3 = 5 add like terms

3x -7/12 = 5

3x = 5 + 7/12 ➡ 3x = 67/12 and x = 67/4

(ii)

3(x+5) - 2(3x-1) = 15 ➡ 3x + 15 - 6x + 2 = 15 add like terms

17 - 3x = 15

2 = 3x and x = 2/3

Answer:

Step-by-step explanation:

it shows the maximum rise in temperature.

Answer:

b answer, will show the rise in temperature

Answer:

put a mark at negative 2 on the graph then you would go up seven rigght one until you cant then you would go back to -2 and go down seven left one until you cant

Step-by-step explanation:

Answer:

23.4458015822

Step-by-step explanation:

tan(21) = 9/x

9/tan(21) = x

9/tan(21) = 23.4458015822