Answer:
d = (1/20) t + 2
Step-by-step explanation:
∵ The equation of Monika is:
d = (1/15)t + 1 ⇒ linear equation
∴ The slope of the line = 1/15 ⇒ speed of Monika
∵ The speed of Mark is 3/4 as fast as Monika
∴ The speed of Mark = 3/4 × 1/15 = 1/20
∵ Mark starts a mile behind her
∵ at t = 0 ⇒ her distance is 1
∴ at t = 0 ⇒ his distance is 2
∴ His equation is d = (1/20) t + 2
Answer:
x = 2, y= 3
Step-by-step explanation:
y = -2x+7
y = 5x-7
Since the equations are both equal to y, set them equal to each other
-2x+7 = 5x-7
Add 2x to each side
-2x+7 +2x= 5x+2x-7
7 = 7x -7
Add 7 to each side
7+7 = 7x
14 = 7x
Divide by 7
14/7 = 7x/7
2 = x
Now find y
y = 5x-7
y = 5*2 -7
y = 10-7
y =3
Answer:
there would be 5 girls, boys 1; girl 1.25
Step-by-step explanation:
there are 1.25 girls for every boy
Answer:
$24
Step-by-step explanation:
a= $30-$12 = 6 cup of coffee
= 18÷6
= 3 (price for a cup of coffee)
= 3×2
= $6
a= $30-$6
a= $24
The answer is d. 384 m3.
The volume (V) of the box is:
V = l × w × h
l - the length of the box
w - the width of the box
h - the height of the box
If V1 = 48 m³ = l × w × h and all its dimensions are doubled to create box B, then:
V2 = 2l × 2w × 2h = 2 × 2 × 2 × l × w × h = 8 x l × w × h
We know that l × w × h is 48 m³, so:
V2 = 8 x l × w × h = 8 × 48 = 384 m³