GIVE BRAINLIEST :) Morgan can paint a room in 10 hours, while Sophia can paint it in 4 hours. If Morgan paints for x hours and Sophia paints for y hours, they will finish half of the painting, while if Morgan paints for y hours and Sophia paints for x hours they will paint the whole room. Find the ordered pair (x,y), expressing both x and y as simplified fractions.
Answers
Answer:
x,y = ( 3 17/21 , 10/21)
Step-by-step explanation:
Painting the room = 1 whole job
Morgan rate = 1/10
Sophia rate = 1/4
Rate x time = 1 job
1/10 x + 1/4 y = 1/2 and
1/10 y + 1/4 x = 1 solve for x,y
Multiply the top equation by - 2.5
(-2.5)/10 x - (2.5/4) y = -1.25
-1/4 x - 5/8 y = -1 .25
and add to the second equation to get
1/10 y - 5/8 y = -.25 solve for y
4/40 y - 25/40 y = -.25
-21/40 y = - .25
y = 10/21 hr Substitute this into one of the original equations to find 'x'
1/10 (10/21) + 1/4 x = 1
1/21 + 1/4 x = 1
1/4 x = 20/21
x = 80/21 x,y = ( 3 17/21 , 10/21)
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What is the remainder when 16,055 is divided by 16?
Answers
Answer:
77 degrees.
Step-by-step explanation:
180-103=77
Answers
Answer:
12
Step-by-step explanation:
I just know please mark brainliest!!!
B: x^2 + x -2
C: -x^2 - x + 2
D: -x^2 + x - 2
Answers
1st big tile is x², however, it is in black thus it's a negative sign. -x²
2 white tiles represent 2x
3 black tiles represent -3x
3 white small tiles represent + 3
1 black small tile represent -1
-x² + 2x - 3x + 3 - 1 ⇒ -x² - x + 2 Choice C.
Answers
Answer:
See attachment
Step-by-step explanation:
See attachment
Answers
in our case, P(x) = a
a = -36; b = 900; c = -1584;
b/2a = 900/-72 = -12.5;
Δ =
P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;
Answer:
y = a(x – h)2 + k, where (h, k) is the vertex;
in our case, P(x) = a Δ/4a ;
a = -36; b = 900; c = -1584;
b/2a = 900/-72 = -12.5;
Δ = 4ac = 810000 - 144*1584 = 581904 => -Δ/4a = 4041;
P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;