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3 years ago

-5 x + y = - 21 and y = x - 1 solve the system of equation

Mathematics

1 answer:

Kitty [74]3 years ago

3 0

Answer:

Step-by-step explanation:

-5x + (x -1) = -21

-4x = -20

x = 5

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You are in charge of planning a reunion party for your high school alumni. The food will cost $12 per person. The rental fee for

castortr0y [4]

Answer:

$3820 total, $32 per alumnus.

Step-by-step explanation:

The total cost will be $12\times120+650+730+1000=3820$

Each alumnus pays $\frac{3820}{120} =31\frac{5}{6}$

Rounding to nearest whole number = $32 per alumnus.

5 0

2 years ago

During a building project, a brick is

taurus [48]

The brick will fall to the ground after 9 secs.

<h3>What are quadratic equations?</h3>

Given the equation for height as a function of time is h(t) = -16t2 + 1,296

The height of the brick on the ground is h(t) = 0. Substitute h(t) = 0 into the equation as shown:

-16t2 + 1,296 = 0

Subtract 1296 from both sides

-16t² + 1,296 - 1296 = 0 - 1296

16t² = 1296

t² = 1296/16

t² = 81

t = 9secs

Hence the brick will fall to the ground after 9 secs.

Learn more on equations here: brainly.com/question/13763238

3 0

2 years ago

From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif

Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

$^nP_r=\frac{n!}{(n-r)!}$ , where,

n = Number of total items,

r = Items being chosen at a time.

For our given scenario $n=12$ and $r=4$ .

$^{12}P_4=\frac{12!}{(12-4)!}$

$^{12}P_4=\frac{12!}{8!}$

$^{12}P_4=\frac{12*11*10*9*8!}{8!}$

$^{12}P_4=12*11*10*9$

$^{12}P_4=11,880$

Therefore, offices can be filled in 11,880 different ways.

3 0

3 years ago

Hello I need help Find the missing side lengths, leave your answers as radicals in simplest form

Jet001 [13]

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$y = \frac{1}{2} \times \frac{8 \sqrt{3} }{3} \\$

$y = \frac{4 \sqrt{3} }{3} \\$

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$x = \frac{ \sqrt{3} }{2} \times \frac{8 \sqrt{3} }{3} \\$

$x = \frac{8 \times { \sqrt{3} }^{2} }{2 \times 3} \\$

$x = \frac{8 \times 3}{2 \times 3} \\$

$x = \frac{8}{2} \\$

$x = 4$

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4 0

2 years ago

What is the probability of tossing two coins in Irvington bus land on heads?

d1i1m1o1n [39]

Sample space = {TT, HH, TH, HT} where T is tail and H is head.
Number of outcomes = 4
The probability of getting two heads on tossing two coins
$= (\frac{1}{4} \times 100)\% \\ = 25\%$

Answer:

D) 25%

Hope you could understand.

If you have any query, feel free to ask.

6 0

2 years ago