3 years ago

Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5

Mathematics

1 answer:

worty [1.4K]3 years ago

3 0

X=4 and y=6
For this, you should use simultaneous equations

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The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. A=(a+b)/2 h Solve for a.

yKpoI14uk [10]

Answer:

$a=\frac{2A}{h}-b$

Step-by-step explanation:

Hello, I think I can help you with this.

According to the information provided in the problem, the area of a trapezoid is given by

$A=\frac{a+b}{2} *h\\$

Step 1

solve for a, it means isolate a

$A=\frac{a+b}{2} *h\\divide\ both\ sides\ by\ h\\\\\frac{A}{h}= \frac{\frac{a+b}{2} *h}{h} \\\frac{A}{h}=\frac{a+b}{2}\\\\Now, multiply\ both\ sides\ by\ two\\\\ 2*\frac{A}{h}=2*\frac{a+b}{2}\\2*\frac{A}{h}=a+b\\\frac{2A}{h}=a+b\\\\subtract\ b\ for\ both\ sides\\\frac{2A}{h}-b=a+b-b\\a=\frac{2A}{h}-b$

Have a good day.

5 0

3 years ago

If 18 is added to a certain number and the sum is divided by 6, the result is 1 more than 14 of the original number. Find the or

Katyanochek1 [597]

The original number is 72

(18+x)/6 = 1+14
1/6x + 3 = 1 + 14 (Distribute)
1/6x + 3 = (1+14) (Combine Like Terms)
1/6x + 3 = 15
- 3 = -3 (Subtract 3 From Both Sides)
1/6x = 12
(1/6x)*6 = 12 * 6 (Multiply Both Sides By 6)
x = 72

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3 years ago

Jacob made a circle-shaped poster for his geometry class.

krok68 [10]