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PSYCHO15rus [73]
3 years ago
7

Write this fraction in its simplest form. 45/99

Mathematics
1 answer:
Helen [10]3 years ago
8 0
\frac{45}{99} = \frac{9\times 5}{9 \times 11} = \frac{5}{11}
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I am thinking of a number. When I double my number and then subtract the result from five, I get negative one. What is my number
pogonyaev

Answer:

3

Step-by-step explanation:

To turn the word problem into an equation, when we read:

"I am thinking of a number" we write "x"

"when I double my number" we write "2x"

"and then subtract the result from 5" we write "5 - 2x"

"I get negative one" we write "-1 = 5 - 2x"

Now we solve for the number, which is x.

<em>Equation: </em>-1 = 5 - 2x

-1 = 5 - 2x

subtract 5 from both sides

-6 = -2x

divide both sides by -2

3 = x

<h3>There we go! The number is </h3><h2>3</h2>

6 0
3 years ago
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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo
nlexa [21]

Given:

Equation of line 7x-4y=-12.

To find:

The equation of line  that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

7x-4y+12=0

Slope of line is

\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}

m_1=-\dfrac{7}{(-4)}

m_1=\dfrac{7}{4}

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

m_1m_2=-1

m_2=-\dfrac{1}{m_1}

m_2=-\dfrac{4}{7}           [\because m_1=\dfrac{7}{4}]

Now, the slope of perpendicular line is m_2=\dfrac{4}{7} and it goes through (-21,2). So, the equation of line is

y-y_1=m_2(x-x_1)

y-2=-\dfrac{4}{7}(x-(-21))

y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)

y-2=-\dfrac{4}{7}x-12

y=-\dfrac{4}{7}x-12+2

y=-\dfrac{4}{7}x-10

Therefore, the required equation in slope intercept form is y=-\dfrac{4}{7}x-10.

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3 years ago
Is this a function or not a function? (Picture)
musickatia [10]
It is not a function
4 0
3 years ago
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The secret number has a 7 in the ones place. The tens number is an odd number
Lana71 [14]
This really is left up to you as long as you have an odd number in the tens place and a 7 in the ones place. How big (or small) the number is is up to you. As long as it is at least 17, it's pretty much up to you.
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3 years ago
Q(p) = p - 11, Find q(5p+4)​
deff fn [24]

Answer:

Step-by-step explanation:

1. Substitute p for 5p+4

2. 5p+4-11

3. 5p-7

4 0
3 years ago
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