Examine the system of equations.

6x + y = −30,

36x + 6y = 24

Which statement is true about the system of equations?
A) After solving this system, you get a true statement.
B) This system has one solution.
C) If this system were graphed, the lines would be parallel.
D) The equations in this system have the same y-intercept.

Answer:

486

Step-by-step explanation:

27x18

Answer:

the answer is 486

Step-by-step explanation:

you multiply 27×18 which when done you get 486

Answer:

a.6:15 pm

b. 6:10pm

c.6:00pm

d. 5:55 pm

Answer:

[tex]x^2+8x+29[/tex]

Step-by-step explanation:

The shaded area is the large rectangle, minus the smaller rectangle.

Let's calculate both and simplify as much as possible

[tex](x+4)(x+8)-(x+1)(x+3) =x^2+12x+32 -(x^2+4x+3) =\\x^2+12x+32-x^2-4x-3 = x^2+8x+29[/tex]

Answer: The answer is 46292

Step-by-step explanation:

Answer:

5304 people

Step-by-step explanation:

So, we have a population of 5000 people and it grows 3% per year. This problem wants us to find how much it will grow to at the end of 2 years.

With this, we have values that follow:

The formula: f(t) = a(1 + r)^t

a = 5000

r = 0.03

t = 2

Plugging it the values in the formula,

f(2) = 5000(1 + 0.03)^2

     = 5000(1.03)^2

     = 5304.5

Since there can't be a half person, we will have to reduce it down to 5304

f(2) = 5304

Let me know in the comments if you have any questions! If you could mark this answer as brainliest, I would very much appreciate it

Answer:

A = 56 in²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

h is the perpendicular height between bases and b₁, b₂ the bases

here h = 7 , b₁ = 10 , b₂ = 6 , then

A = [tex]\frac{1}{2}[/tex] × 7 × (10 + 6) = 3.5 × 16 = 56 in²

Answer:

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour = (1/1000)/(1/3600)=3600/1000=18/5=3.6 kilometer/hour

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second= 15*3.6=54 kilometer/hour which is the required answer.

Step-by-step explanation:

hope it helps

Answer:

y-4=0

Step-by-step explanation:

its the only that doesn't have a x?

Answer:

9(r + 8) = 9r +72

Step-by-step explanation:

9(r + 8)

9r + 72

Hope this helps!

Answer:

10

Step-by-step explanation:

If n = 11 and p = 5, we can just substitute the values in for n and p in the equation 18 - n - 2 + p.

The new equation would be 18 - 11 - 2 + 5.

Using PEMDAS, we get the answer of 10.  

18 - 11 = 7

7 - 2 = 5

5 + 5 = 10

Hope this helps!

Answer:

Step-by-step explanation:

By the center angle theorem:

WE get:

Angle ABC = 0.5 * Angle AOC

Angle ABC = 28 degrees

Hope that helps

Answer:

1 inch

Step-by-step explanation:

Perimeter of triangle = side length 1 + side length 2 + side length 3

= 3/17 + 6/17 + 8/17

= 17/17

= 1 inch

Answer:

1 inch

Step-by-step explanation:

if you add 8/17 + 3/17 + 6/17 you get 17/17 which is 1 inch

Answer: 0.5 liter

Step-by-step explanation:I don’t know if this is right please don’t give me a bad review if not I think it is 0.5 liter

the correct answer is half of one liter of cvm

Answer:

3

Step-by-step explanation:

3 is the coefficient of c as it is a constant, whereas a and b are variables, subject to change.

Using the binomial distribution, it is found that the variance of Alice's commuting time is of 2 minutes squared.

For each light, there are only two possible outcomes, either it is red, or it is green. The lights are independent of others, hence the binomial distribution is used to solve this question.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The variance of the binomial distribution is:

[tex]V(X) = np(1 - p)[/tex].

In this problem:

The variance for the number of red lights is:

V(X) = 4(0.5)(0.5) = 1

Since each red light delays Alice by exactly two minutes, the variance of Alice's commuting time is of:

2 x 1 = 2 minutes squared.

More can be learned about the binomial distribution at https://brainly.com/question/14424710

Answer:

William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.

Factor number 24 and 60:

Find the greatest common factor

Hence, the greatest number of bags William can make is 12.

Each of these bags will have  cans of fruit and  cans of vegetables.

If he made fewer bags, 6 bags, each of these bags will have  cans of fruit and  cans of vegetables.

If he made fewer bags, 4 bags, each of these bags will have  cans of fruit and  cans of vegetables.

If he made fewer bags, 3 bags, each of these bags will have  cans of fruit and  cans of vegetables.

If he made fewer bags, 2 bags, each of these bags will have  cans of fruit and  cans of vegetables.

Step-by-step explanation:

I think its this question

Answer:

3

use demos add .33 to .33 until you get to 4 cups . if you go over do not count that one. I got up to 3.96 and it took 12 .

Answer:

Step-by-step explanation:

The relations that you need to know to solve this are ...

__

The angle marked x° and the one marked 100° are vertical angles, so have the same measure:

  x° = 100°

__

The angle marked y° is supplementary to the one marked x°, so its value is ...

  y° = 180° -100° = 80°

__

The two angles marked z° and (z+10)° are also supplementary, so ...

  z° +z° +10° = 180°

  2z° = 170°

  z° = 85°

Answer:

-11/40

Step-by-step explanation:

-2/5+1/8=?

Turn the fractions into the same denominators:

-2/5 x 8/8= -16/40

1/8x 5/5= 5/40

-16/40+5/40=

now just add the numerators

-16+5= -11

-11/40

Answer:

m - 7.50 = 12.50

and

m = 7.50 + 12.50

Step-by-step explanation:

The best answers would be:

m - 7.50 = 12.50

and

m = 7.50 + 12.50

First of all, let's figure out what the question is asking us:

The question is asking us to find the amount of money on the gift card

It tells us to use "m" for "the amount of money on the gift card"

Now that we know the following, we can put together the equation

m = the amount of money on the gift card

$7.50 = cost of the book

$12.50 = amount remaining

Since he receives the gift card and then buys a book that costs $7.50, we are going to "have to subtract $7.50 from m". And we know that $12.50 is remaining, so we "make the equation equal to 12.50".

So, let's set up the equation:

m - 7.50 = 12.50

Now that we know the equation, we can solve for "m"

m - 7.50 = 12.50

Step 1: Add 7.50 to both sides.

m − 7.50 7.50 = 12.50 + 7.50

Step 2: Simplify

Answer: m = 20

Another way you can set up this equation is:

m = 7.50 + 12.50

Because we want to find "m", we set it equal to the equation. Since Salim bought a book for $7.50 and had $12.50 remaining, we want to find how much he had on the gift card that made him have $12.50 remaining when he bought the book. So, we have to add 7.50 and 12.50, to find how much is on the gift card.

So, the equation "m = 7.50 + 12.50", makes sense when solving for "m"

Hint: Once you have realized that the equation has Like Terms on the same side you must Combine the Like Terms by either adding them together or subtracting them.

Now that we know the equation, let's solve it

m = 7.50 + 12.50

Step 1: Combine like terms

m = (7.50 + 12.50)

m = 20

Since both equations equal $20 and both make sense, we can conclude that these are the best options.

Answer:

6(12+4)=96

Step-by-step explanation:

6(12+4)

   12+4=16

6(16)=96

Is the one part of the problem is so I will edit my answer?

Answer:

96

Step-by-step explanation:

6(12+4)

6 times 12 + 6 times 4

72+6 times 4

72+24

=96

Answer:

D. The square root of 256 is 16

Step-by-step explanation:

16^2 = 256