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3 years ago

Set up a proportion that represents the scenario:

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

8 0

Answer:

I don't get it really, sorry.

Step-by-step explanation:

This question is very difficult to understand because of the wording, is there anything else, such as any multiple choice answers or any more information that I could use to assist in your question. As I read it, it says 1 cm : 100 km. And the distance between those two would be 1160 miles. 1160/100=11.6, and 11.6≈11.6 so yes, I dont know what to say. The question answers the answer. Let me know if you understood something that I didn't understand and we can go from there. Hope I could be of some help, even know I don't know what to say.

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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

4 years ago

It cost $5000 to feed

Mariulka [41]

Answer:

Okays so for 100 guests we can make the equation $5000 ÷ 100 = $50.00

For 100 guests at the wedding it would cost $50.00 per plate

For 45 guests we can make the equation $2750 ÷ 45 = $61.111111111111, it would be a repeating decimal

For 45 guests at the wedding, it would cost $61.111111111111

I hope that this can help you! ^‿^

5 0

3 years ago

Katya treated everyone in theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before

sweet-ann [11.9K]

let the price of pizza and soda( per 2 litre bottle) be x and y

from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y =11.95.......(2)

multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6

2x+2y= 23.9

10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6

So the prices of the pizza and soda are 11.37 and 0.6 dollars.

4 0

3 years ago

Express the following as a unit rate : 5 croissants for $10

raketka [301]

Answer:

$2/croissant

Step-by-step explanation:

$10÷ 5croissants = $2/ 1 croissant

7 0

3 years ago

A pizza box measure 16 inches by 16 inches by 2 inches .what is the volume of the box?

OverLord2011 [107]

V= L x w x h

V= 16 x 16 x 2

V= 256 x 2

V=512 inches

4 0

3 years ago