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Oksi-84 [34.3K]
3 years ago
15

PLEASE HELP ASAP

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0

Answer:

5 people brought 1 dish & 9 people brought 2 dish

Step-by-step explanation:

We can create a system of equations (2 equations) in solving this problem.

Let x = number of people that brought 1 dish

Let y = number of people that brought 2 dish

Total, 14 people came, so we can write:

x + y = 14

[ or x = 14 - y ]

In total there were 23 dishes, remember x is 1 dish people and y is 2 dish people, so we can write:

1x + 2y = 23

or x + 2y = 23

Now, putting 1st equation into 2nd equation, we get an equation in y and solve for y first. Shown below:

x + 2y = 23

14 - y + 2y = 23

y = 23 - 14

y = 9

Now, finding x:

x = 14 - y

x = 14 - 9

x = 5

So, 5 people brought 1 dish & 9 people brought 2 dish

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The axis of symmetry for the graph of the function is f(x) = 1/4 x2 +
CaHeK987 [17]

Answer:

Step-by-step explanation:

f(x) = 1/4 x²+bx+10

the derivate is : f'(x) = 1/2 x +b

you have : f'(6)=0

1/2 (6)+b=0

3+b =0

b = -3

so f(x) = 1/4 x²-3x+10.......f(6) =1/4(6)² -3(6)+10 =9-18+10 =1

f(x) = 1/4(x-6)²+1... the vertex form

3 0
3 years ago
A bag has 30 tiles, numbered 1-30. Write the ratio even tiles to odd tiles in simplest form.
guapka [62]

Answer:

r=1

Step-by-step explanation:

<u>Ratio of Values </u>

A ratio compares two values by diving them. If the ratio is greater than one, then the value in the numerator is greater than the value in the denominator. The opposite relation gives ratios lower than 1. A ratio of 1 means both values are the same

We have a set of tiles numbered 1 to 30:

1,2,3,4,5,6...,29,30

Note that each odd-numbered tile is followed by an even-numbered tile. It means we have 15 odd tiles and 15 even tiles. The ratio is

\displaystyle r=\frac{even}{odd}

\displaystyle r=\frac{15}{15}

r=1

4 0
4 years ago
the bottom of a 22-foot ladder must be placed 7 feet from a wall. to the nearest tenth of a foot, how far above the ground does
Kitty [74]
The ladder, the wall and the floor form together a triangle rectangle, where the ladder is the hypotenuse of the triangle and the floor and wall are the cathetus. We know from Pythagoreas theorem that the square of the hypotenuse is equal to the sum of the two cathetus squared added, so we can write an equation with the data we have:
hyp^2 = cath1^2 + cath2^2
<span>hyp^2 = wall^2 + floor^2
</span>so we have the hypotenuse value, the floor value and the unknown is the wall height:
(22)^2 = wall^2 + (7)^2
484 = wall^2 + 49
wall^2 = 484 - 49 = 435
wall = √435
wall = 20.9
therefore the ladder touches the wall 20.9 feet above the ground
5 0
3 years ago
Which option is correct for finding x?
san4es73 [151]

Answer:

35 degrees is correct(I might be wrong though.)

Step-by-step explanation:

Since this is a vertical angle question,3x° = 70 + x°

Therefore,3x - x = 2 x,making 2x=70.

so x= 70÷ 2=35. Again- I might be wrong-

5 0
3 years ago
I need help with all three questions please. I am just Stuck.
vitfil [10]

Answer:

p_{o} = 6, r = 2, p_{12} = 24576.

Step-by-step explanation:

The value of p_{o} is the first value of the geometric series, that is, p_{o} = 6.

If the series represents a geometric sequence, then r must be constant for every consecutive pair of elements, that is:

r_{1} = \frac{p_{1}}{p_{o}} = \frac{12}{6} = 2

r_{2} = \frac{p_{2}}{p_{1}} = \frac{24}{12} = 2

r_{3} = \frac{p_{3}}{p_{2}} = \frac{48}{24} = 2

Since r_{1} = r_{2} = r_{3} = 2, r = 2.

The geometric sequence can be represented by the following formula:

p_{n} = p_{o}\cdot r^{n}, for n \in \mathbb{N}

The 12th element of the geometric sequence is: (p_{o} = 6, r = 2, n = 12)

p_{12} = 6\cdot 2^{12}

p_{12} = 24576

5 0
3 years ago
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