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3 years ago

What is -6.5 / 8.5 reduced to simplest form?

Mathematics

2 answers:

Naddika [18.5K]3 years ago

8 0

Answer: -13/17

Step-by-step explanation:

lara [203]3 years ago

6 0

Answer: Step 1: Write down the number as a fraction of one:

0.05 = 0.05/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

0.05/1 = (0.05 × 100)/(1 × 100) = 5/100.

Step 3: Simplify (or reduce) the fraction:

5/100 = 1/20 when reduced to the simplest form.

What is 0.45 as a fraction?

0.45 = 9/20 as a fraction

Step by Step Solution

To convert the decimal 0.45 to a fraction follow these steps:

Step 1: Write down the number as a fraction of one:

0.45 = 0.45/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

0.45/1 = (0.45 × 100)/(1 × 100) = 45/100.

Step 3: Simplify (or reduce) the fraction:

45/100 = 9/20 when reduced to the simplest form.

Step-by-step explanation:

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High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

Maurinko [17]

Answer:

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

Step-by-step explanation:

Step:-1

Given that the mean of the Population = 540HP

Given that the size of the sample 'n' = 9

Given that the mean of the sample = 570HP

Given that the sample standard deviation = 30HP

Step(ii):-

Degrees of freedom = n-1 =9-1 =8

t₀.₀₀₅ = 3.3554

The 99% of a confidence interval for the average maximum HP for the experimental engine.

$(x^{-} - t_{\frac{0.01}{2} ,8} \frac{S.D}{\sqrt{n} } ,x^{2} + t_{\frac{0.01}{2},8 } \frac{S.D}{\sqrt{n} } )$

$(570-3.354\frac{30}{\sqrt{9} } , 570+3.354\frac{30}{\sqrt{9} } )$

(570 - 33.54 , 570+33.54)

(536.46 , 603.54)

Final answer :-

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

4 0

3 years ago

Please help! Really easy math, need it asap!!! It's in the picture

Dominik [7]

Answer:

answers are: (-1,-2), (1,2), (-1,5), (1,-5). in other words, option 2, 6, 7, and 8.

Step-by-step explanation:

hope it helps

3 0

2 years ago

Based on the table, which best predicts the end behavior of the graph of f(x)?

Yuki888 [10]

Answer: A. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞.

6 0

3 years ago

Read 2 more answers

Solve the system of equations: 5x + 3y = 23 3y = 15x - 21

Rama09 [41]

Answer:

x=11/5 and y=4

Explanation:

4 0

2 years ago

What is the equation of the quadratic graph with a focus of (4, −3) and a directrix of y = −6?

Artyom0805 [142]

Answer:

$y=\frac{1}{6} (x-4)-\frac{9}{2}$

Step-by-step explanation:

∵ The quadratic equation form is :

y = [1/2(b - k)] (x - a)² + (b + k)/2

Where (a , b) is the focus and directrix y = k

∵ The focus is (4 , -3) and directix is y = -6

∵ $y=\frac{1}{2(-3-(-6))} (x-4)^{2}+\frac{(-3)+(-6)}{2}$

∴ $y=\frac{1}{6} (x - 4)^{2}+\frac{-9}{2}$

∴ $y=\frac{1}{6} (x-4)-\frac{9}{2}$

another way:

Assume that (x , y) is the general point on the parabola

∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)

By using the distance rule:

∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)

∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9

∴ 12y - 6y = (x - 4)² + 9 - 36

∴ 6y = (x - 4)² - 27 ⇒ ÷ 6

∴ y = 1/6 (x - 4)² - 9/2

4 0

3 years ago