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3 years ago

when was the balloon at 250 ft ? make sure you describe all times when the balloon was at this height.

Mathematics

1 answer:

Alexxx [7]3 years ago

7 0

Answer: A. You need two functions, one for each balloon:

Let h be height, in ft.

Let t be time, in min.

Balloon 1:

h1 = 250 (starting height) + 110t (rate that height is increasing)

Step-by-step explanation:

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A catering company is setting up for a wedding they expect 150 people to attend they can provide tables that seat 6 people and l

kramer

Answer:

(20,5) is NOT a solution of the equation $6x+10y=150$ .

The point (20,5) implies that there are 20 small tables and 5 large tables.

Step-by-step explanation:

We have been given that a catering company is expecting 150 people to attend the wedding. There are two types of tables, ones which can fit 6 people and ones which can fit 10 people.

If there are x tables which can fit 6 people and there are y tables which can fit 10 people, we can express the total number of people that can fit on all available tables as: $6x+10y$ .

Since there are total 150 people expected in the wedding, the equation can be framed as: $6x+10y=150$ .

Let us check if the point (20,5) is a solution of the equation.

$6*20+10*5=150$

$120+50=150$

$170=150$

Since we get a false statement, therefore, (20,5) is NOT a solution of the equation $6x+10y=150$ .

The point (20,5) implies that there are 20 small tables and 5 large tables.

4 0

4 years ago

Solve for x. <br><br> x = ___°

irina [24]

x = 109

this is pentagon

the sum of the interior angles of a polygon is

sum = 180°( n - 2) where n is the number of sides.

sum = 180° × 3 = 540° thus

x + 121+ 108 + 102 + 100 = 540

x + 431 = 540

subtract 431 from both sides

x = 540 - 431 = 109

6 0

3 years ago

The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?

PolarNik [594]

Answer:

Around 364

Step-by-step explanation:

So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)

Then you multiply this by 57: 57x6.4 = 364.8

8 0

3 years ago

When the sum of 5 and three times a positive number is subtracted from the square of the number, 0 results. Find the number.

Juliette [100K]

$x-the\ number\\\\x^2-(5+3x)=0\\\\x^2-5-3x=0\\\\x^2-3x-5=0$

$Use\ the\ quadratic\ formula:\\a^2x+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ then\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ then\ x_0=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ then\ no\ solution$

$x^2-3x-5=0\\\\a=1;\ b=-3;\ c=-5\\\\\Delta=(-3)^2-4\cdot1\cdot(-5)+3+20=29 \ \textgreater \ 0\\\\\sqrt\Delta=\sqrt{29}\\\\x_1=\dfrac{3-\sqrt{29}}{2\cdot1}=\dfrac{3-\sqrt{29}}{2} \ \textless \ 0\\\\x_2=\dfrac{3+\sqrt{29}}{2\cdot1}=\dfrac{3+\sqrt{29}}{2} \ \textgreater \ 0$

$Answer:\ \boxed{x=\dfrac{3+\sqrt{29}}{2}}$

6 0

3 years ago

Determine the solution for the equation.

Ilya [14]

Answer:
2^4=16
Hope i helped

6 0

3 years ago