Answer:
Each shirt cost $<u>7</u> and each pair of shorts cost $<u>17</u> .
Step-by-step explanation:
let shirts be represented as x
let shorts be represented as y
Younger brother spent $79 on 4 new shirts and 3 pairs of shorts.
4 x + 3 y = $79 .......equation 1
Older brother purchased 7 new shirts and 8 pairs of shorts and paid a total of $185.
7 x + 8 y = $185 .......equation 2
multiply equation 1 by 7 and equation 2 by -4 and add both equations to get the value of y.
7 × (4 x + 3 y = $79) ⇒ +28 x + 21 y = $553
-4 × (7 x + 8 y = $185) ⇒ <u> -28 x - 32 y = - $740</u>
0 - 11 y = - $187 ⇒ -11 y = - $187
y =
⇒ y = $17
shorts = y = $17
put value of y in equation 1
4 x + 3 ( $17 ) = $79 ⇒ 4x + $51 = $79 ⇒ 4x = $79 - $51
4x = $28 ⇒ x =
⇒ x = $7
Shirts = x = $7
Answer:
x = 12, y =
Step-by-step explanation:
a || b
5x - 7 = 3x + 17 Alternative Interior Angles
x = 12 Algebra
Angle 3x + 17 = 53 Substitution
53 + 4y + 3 = 180 Supplementary Angles
y = 31
Addition is needed because of the subtraction sign.
Answer: x⁴y²⁰
Step-by-step explanation: Distribute the exponent ⁴ over the parentheses
(x y⁴)⁴ becomes x⁴y¹⁶ (multiply exponents)
then take the 4th root of y¹⁶ (divide the exponent of the radicand by the index) ⁴√y¹⁶ becomes y⁴
Then multiply the factors. Add exponents
x⁴y¹⁶ * y⁴ becomes x⁴y²⁰
Answer:
4 times as tall
hope this help:))