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3 years ago

3/2 x 7/8 = Simplify if needed:

Mathematics

2 answers:

kiruha [24]3 years ago

7 0

Answer:

21/16

Step-by-step explanation:

$\frac{3}{2}$ x $\frac{7}{8}$

3 x 7 = 21

2 x 8 = 16

Therefore, the fraction is 21/16. You can not simplify this any further unless you want a decimal. The decimal answer for this is 1.3125.

Svetach [21]3 years ago

4 0

Answer:

3/2 x 7/8 = (3×7)/(2×8)=21/16

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Suppose a ball is thrown upward to a height of h 0 meters. After each bounce, the ball rebounds to a fraction r of its previous

gladu [14]

Answer:

A)1st term:45

2nd term:48.75

3rd term:49.6875

4th term:49.921875

B) Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

Step-by-step explanation:

We are given;

h₀ = Initial height of the ball = 30

r = Rebound fraction = 0.25

a) The arithmetic sequence of bouncing balls is given by the following;

Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)

The first term of the sequence is;

S₁ = h₀ + 2h₀r¹

S₁ = 30 + (2 × 30 × 0.25)

S₁ = 45

The second term of the sequence is;

S₂ = h₀ + 2h₀(r¹+r²)

S₂ = 30 + (2 × 30 × (0.25 + 0.25²)) = 48.75

The third term of the sequence is;

S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875

S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)

S₄ = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³ + 0.25⁴)) = 49.921875

B) The general expression for the nth term of the sequence is;

Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

4 0

3 years ago

Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request.

Artist 52 [7]

<span>   Honor roll Not on honor roll Total
Received math class requested 315   64   379
Did not get math class requested 41   80   121
Total 356 144   500

Honor roll: request granted: 315/356 = 0.88 x 100% = 88%
Not Honor roll request granted: 64/144 = 0.44 x 100% = 44%

Honor roll students were given preference in granting request than those not in the honor roll.</span>

5 0

3 years ago

This is a point at which a graph intersects the x-axis.

alexandr402 [8]

Answer:

The point where the line crosses the x-axis is called the [x-intercept].

Step-by-step explanation:

7 0

3 years ago

The first blanks options are -2 , -1/2 , 2 , 1/2

Pie

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

7 0

2 years ago

Giving Brainiest to who gets it right please hurry though.

kramer

1. 2.50x + 5 = C
2.50(4.1) + 5 = C
$15.25

2. 15.25(1.15)
$17.54

3 B, I believe but dont quote me.

4. 206 / 60 + 30
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3 years ago