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2 years ago

What is 16/20 in simplest form

Mathematics

2 answers:

Julli [10]2 years ago

8 0

The simplest form<span> of </span>16/20 is 4/5.

ki77a [65]2 years ago

3 0

8/10= 4/5
4/5 is the simplest form (:

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3) Jacob has 4 granola bars. He cuts them into pieces that are 1/3 of a bar each. After he cuts the 4 bars, how many pieces does

klio [65]

Answer:

Step-by-step explanation:

if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.

5 0

2 years ago

The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

2 years ago

Write a quadratic equation in standard form with the given roots of 3,-4

nexus9112 [7]

Answer:

Since the roots are 3, -4 then we must put

-3, 4 into this equation,

(x +a) * (x +b) = 0

(x -3) * (x +4) = 0 then multiplying

x^2 +x -12

Step-by-step explanation:

3 0

2 years ago

The sum of 0.8 and 0.04 can be written as a fraction where the numerator and the denominator are both positive integers. When th

Luda [366]

Answer: 0.84 as a fraction is 84/100

Greatest common factor is 4

Resulting fraction is 21/25

Addition of numerator and denominator of the resulting fraction is 46

Step-by-step explanation:

From the question, the sum of 0.8 and 0.04 is written as 0.8 + 0.04 = 0.84

Convert 0.84 to fraction = 84/100

The numerator and denominator in 84/100 are both positive integers.

The greatest common factor to the numerator and denominator is 4

Divide 84 by 4 = 21

Divide 100 by 4 = 25

Therefore, the resulting fraction is 21/25

Addition of 21 and 25 equals 46.

I hope this helps.

7 0

2 years ago

What is the slope of the line that passes through the points (1, 3) and (5, –2)?

Sergeu [11.5K]

m=-(5/4)

From left to right, (1,3) is first and then comes (5,-2). Always remember when finding slopes without equations, the rule is RISE over RUN, to the numerator and denominator, respectively.

The y value of the second coordinates becomes negative which is unlike the y value in the first coordinates, which means our slope is downward, meaning it has a negative sign in front.

In every slope, there’s a numerator, being the rise, and a denominator, being the run.

To find the rise, we must look at the y values. Starting at 3 going to -2 has a space of 5 units, making that our numerator.

To find the run, the first x value is 1 and the second is 5, making a space of 4, which is out denominator.

With these two numbers and the negative sign, we get -(5/4) as our slope.

7 0

2 years ago