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irina [24]
3 years ago
5

Solve the system of equations.in this form: (x, y) -5y + 8x = -18 5y + 2x = 58

Mathematics
2 answers:
GrogVix [38]3 years ago
8 0

the answers are x=4 and y=10

Gre4nikov [31]3 years ago
5 0
If we add the equations it looks like
-5y + 8x + 5y + 2x = -18+58
so 10x=40
so x=40/10=4
now let's replace x by 4 in the second equation
5y +2*4=58
5y=58-2*4=58-8=50
so y=50/5=10
so (x, y) = (2, 10)
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Alona [7]
(0,5)(4,0)
slope = (0 - 5) / (4 - 0) = -5/4

y = mx + b
slope(m) = -5/4
use either of ur sets of points....(0,5)...x = 0 and y = 5
now we sub and find b, the y int
5 = -5/4(0) + b
5 = b
so ur equation is : y = -5/4x + 5...but we need it in standard form...

y = -5/4x + 5
5/4x + y = 5....multiply everything by common denominator of 4
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3 0
3 years ago
Value of x<br><br>30x=30-30​
Vladimir79 [104]

Answer:

<h2>0</h2>

Step-by-step explanation:

30x = 30 - 30

=  > 30x = 0

=  > x =  \frac{0}{30}

=  > x = 0

5 0
2 years ago
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Which go with which
katrin2010 [14]

Answer:

There are 88 adults and 132 children

Step-by-step explanation:

5 0
3 years ago
An octagonal swimming pool has a base area of 22 square feet The pool is 3 feet deep How many cubic feet of water can the pool h
LenKa [72]

The pool can hold 65.84 ft³ of water

<u>Explanation:</u>

Given:

Shape of pool = octagonal

Base area of the pool = 22 ft²

Depth of the pool = 3 feet

Volume, V = ?

We know:

Area of octagon = 2 ( 1 + √2) a²

22 ft² = 2 ( 1 + √2 ) a²

\frac{11}{1+\sqrt{2} } = a^2

a² = \frac{11}{2.42}

a² = 4.55

a = 2.132 ft

Side length of the octagon is 2.132 ft

We know:

Volume of octagon = 2(1+\sqrt{2} ) X (a)^2 X h

V = 2(1+\sqrt{2})X (2.132)^2 X 3\\ \\V = 2 ( 2.414) X 4.5454 X 3\\\\V = 65.84 ft^3

Therefore, the pool can hold 65.84 ft³ of water

8 0
3 years ago
You earn three dollars an hour as a waitress after working three hours you earn 12 five and seven dollars in tips how much money
NikAS [45]

Answer:

The waitress earned a total of 33 dollars

Step-by-step explanation:

Step 1: Determine total earnings from wages;

Total earnings from wages=Earnings per hour×number of hours worked

where;

Earnings per hour=3 dollars an hour

Number of hours worked=3 hours

replacing;

Total earnings from wages=(3×3)=9 dollars

Step 2: Determine total earnings from tips

Total earnings from tips=(12+5+7)=24 dollars

Step 3: Calculate total money earned

Total money earned=Total earnings from tips+total earnings from wages

where;

Total earnings from tips=24 dollars

Total earnings from wages=9 dollars

replacing;

Total money earned=(9+24)=33 dollars

The waitress earned a total of 33 dollars

7 0
3 years ago
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