Answer:
Hamish earns $20 per hour, and Harry earns $26 per hour.
Step-by-step explanation:
Harry earns
$1+(5/4)•x and also (7/5)•x-$2
$1+(5/4)•x = (7/5)•x-$2
$1+$2= (7/5)•x-(5/4)•x
3=(7•4•x-5•5•x)/20
3=3x/20
3•20=3x
X=20, Hamish earns $20
Substitute x in one of the expressions
1+(5/4)•20=1+25=26, Harry earns $26
Answer:
4 / 21 spoonful of vanilla
Step-by-step explanation:
3 1/2 dozens = 42 cookies
Let x = spoonful of vanilla for 1 dozen of cookies
2/3 : 42 cookies
x : 12 cookies
2/3 ÷ 42 = x ÷ 12
2/3 × 1/42 = x / 12
2 / 126 = x / 12
Cross product
2*12 = 126*x
24 = 126x
Divide both sides by 126
x = 24 / 126
= 4 / 21
x = 4 / 21 spoonful of vanilla
Per dozen of cookies requires 4/21 spoonful of vanilla
Check:
4/21 per dozen × 3 1/2 dozens
4/21 × 7/2
28 / 42
2/3 spoonful for 3 1/2 dozens
Answer:
d=90°
e=81°
f=99°
Step-by-step explanation:
To find f
180-81
=99
Answer:
D.f(x) = −4x + 105
D.f(x) = −4x + 105
Step-by-step explanation:
Since the function in linear, we know it has a slope.
We know 2 points
(5,85) and (10,65) are 2 points on the line
m = (y2-y1)/(x2-x1)
= (65-85)/(10-5)
=-20/5
=-4
We know a point and the slope, we can use point slope form to write the equation
y-y1 =m(x-x1)
y-85 = -4(x-5)
Distribute
y-85 = -4x+20
Add 85 to each side
y-85+85 = -4x+20+85
y = -4x+105
Changing this to function form
f(x) =-4x+105
Answer:
answer is 5
Step-by-step explanation:
Step 1: Subtract 9 from both sides.
3x+9−9=24−9
3x=15
Step 2: Divide both sides by 3.
3x
3
=
15
3
x=5