Answer:
Step-by-step explanation:BASE+3X=22.85
BASE+10X=40
BASE=40-10X NOW SUBSTITUTE (40-10X)FOR BASE IN THE FIRST EQUATION
40-10X+3X=22.85
-7X=22.85-40
-7X=-17.15
X=-17.15/-7
X=$2.45 IS THE PRICE FOR EACH POUND.
BASE+10*2.45=40
BASE+24.50=40
BASE=40-24.50
BASE=15.50 IS THE BASE PRICE FOR THE DELIVERY.
PROOF
15.50+3*2.45=22.85
15.50+7.35=22.85
22.85=22.85
Answer:
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Step-by-step explanation:
X=3+√13, 3-√13
substitute y for 0 and solve for x
Answer:
x ≈ 11.7
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos26° =
=
( multiply both sides by 13 )
13 × cos26° = x , then
x ≈ 11.7 ( to the nearest tenth )
Answer:
3.75 feet
Step-by-step explanation:
The length of the frame is 3 times the width.
Let the width be x.
The length will be 3x.
Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.
The perimeter of a rectangle is:
P = 2(L + W)
=> 10 = 2(3x + x)
=> 10/2 = 4x
5 = 4x
=> x = 5/4 = 1.25 feet
The width is 1.25 feet. The length is therefore:
1.25 * 3 = 3.75 feet