MATHEMATICS COLLEGE

Mary is having a party at the park. She is going to spend $438.The cost to rent the shelter is $15 plus food is going to cost $6
per person. How many people is she having?

Answers

Answer 1
Answer:

Answer:

70 people

Step-by-step explanation:

428-15=423

423/6=70.5

she can invite 70 people

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Name the slope and one point that is on the linerepresented by the equation: x = -2
A) m = undefined and point (-2,5)
B) m = 0 and point (-2,4)
C) m = undefined and point (5,-2)
D) = zero and point (5,0)

Answers

Answer: Choice A

m = undefined

point (-2,5)

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

Explanation:

The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)

Another point on this line is (-2,5) since this also has x coordinate -2.

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

All vertical lines have undefined slope.

Let's pick two points such as (-2,0) and (-2,1) and find the slope through them

m = (y2-y1)/(x2-x1)

m = (1-0)/(-2-(-2))

m = (1-0)/(-2+2)

m = 1/0

m = undefined, since we cannot divide by zero.

Please help me thank you

Answers

Answer:

20

Step-by-step explanation:

b = a^2/4 +4

Let a =8

b = 8^2 /4 +4

  = 64/4 +4

   = 16 +4

   = 20

Answer:

b = 20 when a = 8.

Step-by-step explanation:

For this problem, we will simply plug the value of a=8 into the given equation for b, to find the value of b.

b = [ (a)^2 / 4 ] + 4

b = [ (8)^2 / 4 ] + 4

b = [ 64 / 4 ] + 4

b = [ 16 ] + 4

b = 20

Hence, when the value of a=8, then the value of b=20.

Cheers.

There are 30 students in a class, including 16 boys. The ratio of girls to boys would be 7 over 8.

Answers

Answer:

i dont understand- theres 3 ways u can put them tho 7:8 , 7 to 8 , or 7/8

Step-by-step explanation:

Q # 8 please solve the question

Answers

Let the two numbers be x and y

Their sum is 20, so we can write
x + y = 20

Their difference is 14, so we can write:
x- y = 14


Adding the two equations, we get:

2x = 34
x = 17

Using the value of x, in first equation, we get:

17 + y = 20
so,
y = 3

Thus the two numbers are 17 and 3.

So, option a is the correct answer
For this case we have the following system of equations:
 x + y = 20
 x-y = 14
 Where,
 x: real number
 y: real number
 Solving the system we have:
 x = 17
 y = 3
 Therefore, the numbers are:
 17 and 3
 Answer:
 17 and 3
 option 1

To paint his apartment, Alex but 6 gallons of paint to cover 1440 ft.². What is the ratio of square feet to gallons of paint?

Answers

Answer & Step-by-step explanation:

The ratio of square feet to gallons of paint:

1440:6

This can also be written as:

(1440)/(6)

This fraction can be simplified by dividing the numerator and denominator by 6:

(1440)/(6)=(240)/(1)

So, the ratio of square feet to gallons of paint is:

1 gallon for every 240 ft².

:Done

I’m very confused pls help 50 PTSFind the quadratic function y=ax^2 +bx+c whose graph passes through the given points. (-1,-11) (2,-26) (-3,-31)

Answers

The quadratic value function is y = -x² - 4x + 16

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

Let the function passes through the given points. (-1,-11) (2,-26) (-3,-31)

And , using the point (-1,-11) , we get

-11 = a(-1)² + b(-1) + c

-11 = a - b + c

Using the point (2,-26) , we get

-26 = a(2)² + b(2) + c

-26 = 4a + 2b + c

Using the point (-3,-31) , we get

-31 = a(-3)² + b(-3) + c

-31 = 9a - 3b + c

And , the three set of equations are

-11 = a - b + c

-26 = 4a + 2b + c

-31 = 9a - 3b + c

From the first equation, we can solve for c:

c = 11 - a + b

Substituting this expression for c into the other two equations, we get:

-26 = 4a + 2b + 11 - a + b

-31 = 9a - 3b + 11 - a + b

Simplifying these equations, we get:

-15 = 3a + 3b

-21 = 8a - 2b

Solving the first equation for b in terms of a, we get:

b = -5 - a

Substituting this expression for b into the second equation, we get:

-21 = 8a - 2(-5 - a)

Simplifying and solving for a, we get:

a = -1

Substituting this value of a into the equation for b that we found earlier, we get:

b = -5 - (-1) = -4

Finally, substituting these values of a and b into the equation for c that we found earlier, we get:

c = 11 - (-1) - (-4) = 16

Hence , the quadratic function that passes through the given points is given by y = -x² - 4x + 16

To learn more about quadratic equations click :

brainly.com/question/25652857

#SPJ1
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