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inna [77]
3 years ago
14

The table below shows four systems of equations

Mathematics
1 answer:
vazorg [7]3 years ago
8 0
First Answer. 6x-2y=16. This added to 4x-5y=2 is equal to 10x-7y=18
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Find the selling price of a $30 item after a 40% markup.
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$18. Multiply 30 by 0.4 and subtract that value from 30 to get the price after the percentage taken away.
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While playing a video game Ruth earned 5 base points,b, 9 bonus points,x, and 4 advanced points, a. Write an algebraic expressio
Musya8 [376]

b + x + a

Hope it helps you.

7 0
3 years ago
Find the length of the radius of the circle, which is inscribed into a right trapezoid with lengths of bases a and b.
egoroff_w [7]

Answer:

  r = (ab)/(a+b)

Step-by-step explanation:

Consider the attached sketch. The diagram shows base b at the bottom and base a at the top. The height of the trapezoid must be twice the radius. The point where the slant side of the trapezoid is tangent to the inscribed circle divides that slant side into two parts: lengths (a-r) and (b-r). The sum of these lengths is the length of the slant side, which is the hypotenuse of a right triangle with one leg equal to 2r and the other leg equal to (b-a).

Using the Pythagorean theorem, we can write the relation ...

  ((a-r) +(b-r))^2 = (2r)^2 +(b -a)^2

  a^2 +2ab +b^2 -4r(a+b) +4r^2 = 4r^2 +b^2 -2ab +a^2

  -4r(a+b) = -4ab . . . . . . . . subtract common terms from both sides, also -2ab

  r = ab/(a+b) . . . . . . . . . divide by the coefficient of r

The radius of the inscribed circle in a right trapezoid is r = ab/(a+b).

_____

The graph in the second attachment shows a trapezoid with the radius calculated as above.

6 0
3 years ago
Please answer this question!!
Aloiza [94]
To find the surface area of the rectangular prism you do.

2(lw + lh + wh).

2((26*18) + (26*8) + (18*8))

2(468 + 208 + 144)

2* 820

the answer is 1640cm^2

8 0
3 years ago
Jocelyn and her children went into a bakery and she bought $9 worth of cookies and brownies. Each cookie costs $0.50 and each br
Yuliya22 [10]

Jace bought 4 cookies and 2 brownies from the bakery.

Let x represent the number of cookies and y represent the number of brownies.

Since he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each brownie costs $3. hence:

0.75x + 3y = 9      (1)

Also, he bought twice as many cookies as brownies, hence:

x = 2y

x - 2y = 0     (2)

Solving equation 1 and 2 simultaneously gives x = 4, y = 2

Hence Jace bought 4 cookies and 2 brownies from the bakery.

6 0
3 years ago
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