Answer:
5/9
Step-by-step explanation:
Let's define:
The following three equations are established from the question:
sw + j + sk = 120
sw/j = 8/3
j/sk = 3/4 or sk/j = 4/3
Dividing the first equation by j, we get:
sw/j + j/j + sk/j = 120/j
8/3 + 1 + 4/3 = 120/j
5 = 120/j
j = 120/5 = 24
sw = 24*8/3 = 64
sk = 24*4/3 = 32
After the replacement the new number of jeans and skirts are:
j' = 24 - 4 = 20
sk' = 32 + 4 = 36
the new ratio of jeans to skirts is:
j'/sk' = 20/36 = 5/9
Answer:
Its 13
Step-by-step explanation:
Two or more angles whose sum is 180° are called supplementary angles. The measure of the ∠y is 120°.
<h3>What are supplementary angles?</h3>
Two or more angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
Given the puck strikes the wall at an angle of 30°, it goes away at the same angle of 30°. Therefore, the measure of angle y can be found using the sum of the angle as a supplementary angle. Thus, we can write,
30° + ∠y + 30° = 180°
60° + ∠y = 180°
∠y = 180° - 60° = 120°
Hence, the measure of the ∠y is 120°.
Learn more about Supplementary Angles:
brainly.com/question/2882938
#SPJ1
Answer:
x = -2 or x = -3
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 5 x + 6 = 0
The left hand side factors into a product with two terms:
(x + 2) (x + 3) = 0
Split into two equations:
x + 2 = 0 or x + 3 = 0
Subtract 2 from both sides:
x = -2 or x + 3 = 0
Subtract 3 from both sides:
Answer: x = -2 or x = -3
Answer:
<em>(2x-y+2)(2x+y-2)</em>
Step-by-step explanation:
4x² - y² + 4y - 4=
=(2x)²-(y²-4y+4)
=(2x)²-(y-2)²
= [2x-(y-2)][2x+(y-2)]
<em>=(2x-y+2)(2x+y-2)</em>
a²-b²=(a-b)(a+b)
