Answer:
x = -1 and y = 4
Step-by-step explanation:
Step 1: Solve 3y = -x + 11 for x
3y + x= -x + 11 + x
x + 3y = 11
x + 3y - 3y = 11 - 3y
x = −3y + 11
Step 2: Substitute -3y + 11 for x in 2x + 4y = 14
2(-3y + 11) + 4y = 14
Simplify both sides of the equation, and you get −2y + 22 = 14
−2y + 22 − 22 = 14 − 22
-2y = -8
-2y/-2 = -8/-2
y = 4
Step 3: Substitute 4 for y in x = −3y + 11
x = -3(4) + 11
Simplify both sides of the equation, and you get x = -1
Answer:
$2.92
Step-by-step explanation:
$5-$1.19-$0.89=$3.81-$0.89=$2.92
So basically you want to find the cost per day. So you have 5 days, so divide £100 by 5.
You get £20 per day
Now, the cost per child. We have 80 children so it would be £20/80 children per day.
Our answer is £0.25 per child per day.
Answer:
x = 3.4
Step-by-step explanation:
recall that for a right angle with an internal angle θ,
cos θ = adjacent length / hypotenuse
in our case,
θ = 55 deg
adjacent length = x units
hypotenuse = 6 units
substitute these into the formula above
cos θ = adjacent length / hypotenuse
cos 55 = x / 6 (multiply both sides by 6)
x = 6 cos 55 (use calculator)
x = 3.4415
x = 3.4 (rounded to nearest tenth)
Answer:
PQ = 98.21
Step-by-step explanation:
PQ/23 = 47/11
PQ × 11
23 × 47
11PQ = 1081
11PQ/11 = 1081/11
PQ = 98.21