Four friends share 3 apples equally. What fraction of an apple does each friend get?

Mathematics

2 answers:

Mrrafil [7]2 years ago

5 0

Each friend gets 1/3

ser-zykov [4K]2 years ago

3 0

Answer: 1/3 ~~~~~~~~~~~~~~~~~~~~~~~~

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Write an expression that represents the perimeter of the football field. Let x represent the length of the football field. Inclu

dlinn [17]

Expression with parenthesis: = 2 ( l + w)
Expression without parenthesis = 2l + 2w

The property we used is known as "Distributive Property"

Let, width = w
Length = w + 70

Perimeter would be: P = 2(w+70+w)
p = 2(2w+70)
p = 4w + 140

Hope this helps!

6 0

3 years ago

A student throws a rock into the sky from the top of the Webster build- ing with an angle α = π 4 from the horizontal line and t

lord [1]

Answer:

r(0) = <0, 100> . . . . . . . .meters
r'(0) = <7.071, 7.071> . . . . meters per second

Step-by-step explanation:

Initial Position

The problem statement tells us we're measuring position from the ground at the base of the building where the projectile was launched. The initial horizontal position is presumed to be zero. The initial vertical position is said to be 100 meters from the ground, so (in meters) ...

r(0) = <0, 100>

Initial Velocity

The velocity vector resolves into components in the horizontal direction and the vertical direction. For angle α from the horizontal, the horizontal component of velocity is v₁·cos(α), and the vertical component is v₁·sin(α). For v₁ = 10 m/s and α = π/4, the initial velocity vector (in m/s) is ...

r'(0) = <10·cos(π/4), 10·sin(π/4)>

r'(0) ≈ <7.071, 7.071>

7 0

3 years ago

Number 1 and 2 please (25 points)

Elenna [48]

Answers:

1) $(3x+2)+(4-5x)=-2x+6$

$(3+2i)+(4-5i)=7-3i$

2) $(1-3x)(2+x)=-3x^{2}-5x+2$

$(1-3i)+(2+i)=5-5i$

Step-by-step explanation:

In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:

Addition:

If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).

For example, the addition of these two binomials is:

$(3x+2)+(4-5x)=3x-5x+2+4=-2x+6$

Similarly, the addition of two complex numbers is:

$(3+2i)+(4-5i)=3+4+2i-5i=7-3i$ Here the complex part is the number with the $i$

Multiplication:

If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that $i^{2}=-1$ .