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3 years ago

What is 7.505 as a fraction

Mathematics

1 answer:

klemol [59]3 years ago

4 0

1501 / 200

this is what i looked up an got

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Select the pair of equations whose graphs are perpendicular.

viktelen [127]

$k:\ y=m_1x+b_1\ \ \ \ and\ \ \ \ l:\ y=m_2x+b_2\\ \\the\ line\k\ is\ perpendicular\ to\ the\ line\ l\ \ \ \Leftrightarrow\ \ \ m_1\cdot m_2=-1\\----------------------------\\\\A.\\2y=-3x+5\ \ \Rightarrow\ \ \ y=- \frac{3}{2} x+2.5\ \ \Rightarrow\ \ m_1=- \frac{3}{2} \\\\2x+3y=4\ \ \Rightarrow\ \ 3y=-2x+4\ \ \Rightarrow\ \ y=- \frac{2}{3}x+1 \frac{1}{3} \ \ \Rightarrow\ \ m_2=- \frac{2}{3} \\\\m_1\cdot m_2=- \frac{3}{2} \cdot (- \frac{2}{3})=1 \neq -1$

$B.\\5x-8y=9\ \ \Rightarrow\ \ -8y=-5x+9\ \ \Rightarrow\ \ \ y= \frac{5}{8} x-1 \frac{1}{8} \ \Rightarrow\ \ m_1= \frac{5}{8} \\\\12x-5y=7\ \Rightarrow\ \ -5y=-12x+7\ \ \Rightarrow\ \ y= \frac{12}{5}x-1 \frac{2}{5} \ \ \Rightarrow\ \ m_2= \frac{12}{5} \\\\m_1\cdot m_2= \frac{5}{8} \cdot \frac{12}{5}= \frac{3}{2} \neq -1$

$C.\\y=2x-7\ \ \Rightarrow\ \ m_1=2 \\\\x+2y=3\ \Rightarrow\ \ 2y=-x+3\ \ \Rightarrow\ \ y= -\frac{1}{2}x+1 \frac{1}{2}\ \ \Rightarrow\ \ m_2=- \frac{1}{2} \\\\m_1\cdot m_2= 2 \cdot (- \frac{1}{2})= -1\ \ \Rightarrow\ \ y=2x-7\ \ \ \ \perp\ \ \ \ x+2y=3$

$
D.\\x+6y=8\ \ \Rightarrow\ \ 6y=-x+8\ \ \Rightarrow\ \ \ y=- \frac{1}{6} x+1 \frac{1}{3}\ \ \Rightarrow\ \ m_1= -\frac{1}{6} \\\\y=2x-8\ \Rightarrow\ \ m_2= 2 \\\\m_1\cdot m_2= -\frac{1}{6} \cdot2=- \frac{1}{3} \neq -1$

7 0

3 years ago

Lorenzo recorded the favorite food of students in his class. According to the results of the survey, what percent of the student

nalin [4]

Answer:

30%

Step-by-step explanation:

Before starting to solve this question we have to understand the following. 1% is equal to one hundredth of something whole, and can be write as $\frac{1}{100}$ .

Now in order to solve this question we will first have to find a fraction that represent how much student out of the whole class choose hamburgers. We can easily find this fraction since the numerator of the fraction will be equal to the number of people that choose hamburgers and the denominator will be equal to the number of all students in the class. So we get......

$\frac{12}{8 + 12 + 14+6} = \frac{12}{40} = \frac{3}{10}$

Now in order to find out what percentage will this fraction equal to we will have make a fraction with the same value but with a denominator being 100. To do that we will have to understand the following......

$\frac{a}{b} = \frac{am}{bm}$ (m is any number except 0)

The main I idea of this rule is that if we multiply the numerator and the denominator by the same number (any number except 0) we will get a fraction with the same value but with a different denominator and numerator.

So in our case we we do the following.........

(multiply both numerator and the denominator by 10 and we get...)

$\frac{3}{10} = \frac{(3)(10)}{(10)(10)} = \frac{30}{100}$

Now if we go back to what I said at the start of my explanation we will understand that another way of writing down $\frac{30}{100}$ is 30%.

4 0

3 years ago

You've got 60 homework problems to do and it took you 10 minutes to do eight of them. At that rate, how long will it take?

d1i1m1o1n [39]

10 minutes : 8 problems
x minutes : 60 problems
10 * 60/8 = 150/2 = 75 minutes for 60 problems

4 0

3 years ago

Read 2 more answers

Which ratios approximate pi ()?

kramer

9514 1404 393

Answer:

A: 66/21

E: 22/7

Step-by-step explanation:

The offered choices reduce to 3 1/7 or to 3. The best approximations of those given are the ones that reduce to 3 1/7.

A: 66/21 = 22/7 = 3 1/7

B: 60/20 = 3

C: 21/7 = 3

D: 45/15 = 3

E: 22/7 = 3 1/7

___

<em>Comment on pi approximations</em>

The ratio 22/7 differs from π by about 0.04%. A better approximation is 355/113, which differs from π by about 0.000008%. The approximation 3.14 differs from π by about 0.05%.

5 0

3 years ago

PLEASE HURRY ASAP I NEED IT ASAPP PLEASE SHOW YOUR WORKKK I WILL MAKE YOU BRAINLIEST

Arturiano [62]

Answer:

BD = √97 cm ≈ 9.849 cm

Step-by-step explanation:

Diagonal BD of rectangle ABCD is the hypotenuse of right triangle ABD. Opposite sides of the rectangle are the same length, so we have ...

AB = 4 cm

AD = 9 cm

The sides are related to the diagonals by the Pythagorean theorem.

<h3>Pythagorean theorem</h3>

The Pythagorean theorem tells you the relation between sides and hypotenuse of a right triangle:

AB² +AD² = BD²

4² +9² = BD² = 16 +81 . . . . . evaluating the squares

BD = √97 . . . . . take the square root

The length of BD is √97 cm, about 9.849 cm.

6 0

2 years ago