Answer:
75
Step-by-step explanation:
for every 5 boys there are 4 girls
60 / 4 = 15
15 * 5 = 75
Answer:
The carts velocity= 2m/s
Step-by-step explanation:
It took Manuel 87 seconds to push a shopping cart directly to his car.
One third of 87 = 87/3 = 29
In 29 seconds the carts moved 58 meter's.
The carts velocity = distance/time
The carts velocity = 58/29
The carts velocity= 2m/s
Answer:
Paul purchased 23 pieces of pepperoni pizza
Step-by-step explanation:
Let pepperoni pizza pieces = x
and plain pizza pieces = y
So, the equations will be:
AS pepperoni pizza piece is sold for $1.15 and plain pizza is sold for $0.90 and Paul paid $39.05
1.15 x + 0.90 y = 39.05 eq(1)
Paul bought total 37 pieces of pizza so,
x + y = 37 eq(2)
Solving eq(1) and (2) we can find the pieces of pepperoni pizza bought by Paul.
Multiplying equation (2) with 1.15 and subtracting eq(1) and eq(2)
1.15 x + 0.90 y = 39.05
1.15 x + 1.15 y = 42.55
- - -
__________________
0 x - 0.25 y = -3.5
y = -3.5/-0.25
y = 14
Putting value of y in equation(2)
x+y = 37
x + 14 = 37
x = 37 - 14
x = 23
So, Paul purchased 23 pieces of pepperoni pizza as x represents pepperoni pizza pieces.
Answer:
We can think of this as a triangle rectangle.
We know that you eyes are 55ft above the ground, this can be one cathetus.
We also know that you see with an angle of depression of 50°, from this angle, our known cathetus would be the opposite cathetus.
Now we want to know how far is the object from you, this would be the hypotenuse of the triangle rectangle.
So we only know one angle and the opposite cathetus to this angle, then we can use the relation:
Sin(θ) = (opposite cathetus)/(hypotenuse)
Then if we use this equation, we will get:
Sin(50°) = 55ft/hypotenuse
hypotenuse = 55ft/sin(50°) = 71.8 ft
This means that the distance between you and the object is 71.8 ft.
Here if it's not what you need to know just let me know I can explain it if need to be
