at the drive in it cost 5 dollars per vehicle plus 2 dollars per person in the vehicle construct an equations from this information

Answer:

There is no solution

Step-by-step explanation:

-4(x+3)=16-4x

expand

−4x−12=16−4x

cancel out

−12=16

because −12=16 is false there is no solution.

Hope this helps :)

Answer: What grade work is this? I think I can help...

Step-by-step explanation:

Answer

1729 in^2

Step-by-step explanation:

48 in x 36 in= 1728 in^2. A=LxW

Answer: The mean is 87

84+ 85 + 85+ 86 +90+ 92 = 522/6 = 87

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

To find the mean of the a set of numbers, we first need to add all the numbers and divide by the number of terms in the set.

84 + 85 + 85 + 86 + 90 + 92 = 522

There are 6 terms so we divide by 6

522/6 = 87

Answer:

3

Step-by-step explanation: set the two equations equal to each other. 5-2x=-4x+9 and you'd get x=2. insert 2 into the expression, and you'd get 1. to find the perimeter, a triangle has 3 sides. 1+1+1 =3

Answer: 13.2

Step-by-step explanation:

the ratio between the given measurements (11 and 5) is 2.2 [5 x 2.2 = 11]

so, i just multiplied 6 by 2.2 , which equals 13.2 .

hope this helps! xoxo

Answer:

13.2

Step-by-step explanation:

6x2.2=13.2 The triangles are equal and its size is increased by 2.2

Answer:

Yes, Lin is correct.

Step-by-step explanation:

23 is a prime number because it has only two distinct divisors: 1 and itself (23).

Answer: The smallest possible value of q is 9.

Step-by-step explanation:

If we have the set of N numbers:

{x₁, x₂, x₃, ..., xₙ}

The mean of this set is:

M = (x₁ + x₂ + x₃ + ... + xₙ)/N

Now, in this case our set is:

{1, 2, 3, 4, 5, 6, p times 5, q times 7}

Then we have a total of:

6 + q + p numbers.

The mean of this set will be:

Mean = 5.3 = (1 + 2 + 3 + 4 + 5 + 6 + p*5 + q*7)/(6 + p + q)

This is the equation that we will use now.

First, we can simplify this as:

5.3 = (21 + p*5 + q*7)/(6 + p + q)

Now we can pass the denominator in the right to the other side as:

5.3*(6 + p + q) = (21 + p*5 + q*7)

31.8 + p*5.3 + q*5.3 = 21 + p*5 + q*7

Now we want to isolate the variable p in one side of the equation.

p*5.3 - p*5 = 21 - 31.8 + q*7 - q*5.3

p*0.3 = q*1.7 - 10.8

p = (q*1.7 - 10.8)/0.3 = q*(1.7/0.3) - 36

p = q*(1.7/0.3) - 36

p = q*(17/10)*(10/3) - 36

p = q*(17/3) - 36

Now we can see that the denominator is 3, so q should be a multiple of 3.

We want to start with the smallest multiples of 3, but if we use q = 3, then we will have a negative value of p (the same happens if we use 1 = 6)

We do not want that, then we need to use q = 9

p = 9*(17/3) - 36

p = 3*17 - 36

p = 15

Then we have;

9 times the number 7

15 times the number 5 (plus one, because it was already on the first 6 numbers that Sam wrote)

The smallest possible value of q is 9.

Now we want to get the smallest possible value of q.

Remember, p and q need to be positive numbers.

Answer:

( 5 + s ) 4 = 20 + 4 s

Step-by-step explanation:

Distribution property

Let a, b and c are numbers then distribution property is defined by

a( b + c) = a b + a c

(a+ b) c = a c + b c

Given that

( 5 + s ) 4 = 5× 4 + s× 4

               = 20 + 4 s

Final answer:-

( 5 + s ) 4 = 20 + 4 s

Answer: [tex]\angle B=79^{\circ}.[/tex]

Step-by-step explanation:

When two lines cross each other , then the opposite angles are known  as vertical angles.

Vertical angles are equal.

Here, ∠A and ∠B are vertical angles.

So, ∠A = ∠B

If [tex]\angle A=(6x-11)^{\circ}[/tex] and [tex]\angle B=(5x+4)^{\circ}[/tex]

Then , [tex]6x-11=5x+4[/tex]

Subtract 5x from both sides, we get

[tex]x-11=4[/tex]

Add 11 on both sides, we get

[tex]x=15[/tex]

Now , [tex]\angle B=(5(15)+4)^{\circ}=79^{\circ}[/tex]

Hence, the measure of [tex]\angle B=79^{\circ}.[/tex]

Answer:

A and D

Step-by-step explanation:

It should be Sx2 + 2(S+ 1/2)

Which is equal to 4s+1

and 2(2s + 1/2) is equal to 4s+1 as well

9514 1404 393

Answer:

  41.7 nautical miles

Step-by-step explanation:

It can help to draw yourself a diagram. It will show you the desired distance is the hypotenuse of a right triangle with side lengths 36 and 21. The Pythagorean theorem can be used to find the distance of interest.

  d² = 36² +21²

  d² = 1296 +441 = 1737

  d = √1737 ≈ 41.6773

The ship is about 41.7 nautical miles from the starting point.

Answer:

180

Step-by-step explanation:

180 * .2 = 36

20% is the same thing as 1/5 of something, so read the question again,

"36 is 1/5 of what number?"

Multiply 36 by 5 to get 180

Double check yourself by finding 20% of 180

180 * .2 = 36

Hope this helped, queen!

Answer:

Step-by-step explanation:

disc.=b²-4ac=2²-4×1×5=4-20=-16<0

it has imaginary roots.

Answer:

The associative property of multiplication

 8 . ( 5. b ) = ( 8. 5) . b

Step-by-step explanation:

Explanation

The associative property of multiplication

 a . ( b. c ) = ( a. b) . c

Given numbers are  8, 5 and b

The associative property of multiplication

 8 . ( 5. b ) = ( 8. 5) . b

 8 . ( 5. b ) = ( 8. 5) . b = 40 b

Answer:

2

Step-by-step explanation:

4 divided by 2

Answer:

2 oranges

Step-by-step explanation:

because half of 4 oranges is 2

plz follow me

Answer:

Y=-3X+5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

think of a random K number (like 3 for example)

1/2(3) = 3/2

this equals k/2 = 3/2

Kindly check picture to the question below.

Answer:

150 minutes

Step-by-step explanation:

Volume of prism = height * base area

Height of prism = 1m

Base area = area of a trapezium

Area of trapezium = 0.5(a + b) h

a, b = parallel sides, h= height of trapezium

Area of trapezium = 0.5(1.4+0.6)*2

Area = 0.5(2)*2 = 2m²

Hence,

V of prism = area of trapezium * height of prism

Volume = 2m² * 1m = 2m³

Decrease in water level due to pumping

20cm decrease in 30minutes

(20/100)m in 30 minutes

0.2 m decrease in height of water

Hence, height of water in prism after 30 minutes pumping :

height - 0.2 = 1 - 0.2 = 0.8m

Volume after 30 minutes of pumping :

Base area * new height

2m² * 0.8m = 1.6m³

Decrease in volume over 30 minutes :

(Initial volume - volume after pumping)

2m³ - 1.6m³ = 0.4m³

If ;

0.4m³ = 30 minutes

1.6m³ = x

0.4x = 48

x = 48 / 0.4

x = 120

Hence, it takes 120 minutes for the remaining 1.6m³ to be emptied.

Hence, total wait time :

120 minutes + 30 minutes

= 150 minutes

Answer:

The answer is (61/3), (-23/3)

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Hoped this helped!

9514 1404 393

Answer:

  x = 3/2

Step-by-step explanation:

Multiply by 3 and solve the resulting 2-step equation.

  5 = (1/3)(2x +12)

  15 = 2x +12 . . . . . . multiply by 3

  3 = 2x . . . . . . . . . . subtract 12

  3/2 = x . . . . . . . . . . divide by 2

Answer:

V≈565.5cm³ is the answer

Answer:

12.5 inches

Step-by-step explanation:

3/8 of 20 = 3/8 * 20 = 60/8 = 15/2 = 7.5

20 - 7.5 = 12.5

Answer:

12.5 inches

Step-by-step explanation:

20/8=2.5

2.5*3=7.5

20-7.5=12.5

Answer:

Step-by-step explanation:

I'm not sure about what the answer is for the last two questions. If somebody else does know please right it in the comment section. :)

Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation: