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guajiro [1.7K]
4 years ago
14

❄️Please help❄

Mathematics
1 answer:
kondor19780726 [428]4 years ago
7 0

Answer:

When a system of equations have one solution, it is a consistent independent system.

In a <em>consistent independent</em> system, the lines cross each other at one point, called the point of intersection.

<em>Here is an example of a consistent independent system:</em>

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Debora drove 400 miles on her vacation. She drove an average of 1.5 times faster in the second 200 miles of her trip than she di
vodomira [7]
t=\dfrac{s}{v}
Time, she spent driving the first 200 miles:
\dfrac{200}{x}
Time, she spent driving the second 200 miles:
\dfrac{200}{1.5\cdot x}

Total time:
\dfrac{200}{x}+\dfrac{200}{1.5\cdot x}=\dfrac{200}{x}\cdot \dfrac{1.5}{1.5}+\dfrac{200}{1.5\cdot x}=\dfrac{300}{1.5\cdot x}+\dfrac{200}{1.5\cdot x}=\dfrac{500}{1.5\cdot x}=\boxed{\dfrac{1000}{3\cdot x}}
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Mariana [72]

Answer:

1) r >-5       2) x >9

Step-by-step explanation:

4 0
3 years ago
Complete the equation 0+_=91
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The equation is 0+91=91. This is because 91+0=91. So, x=91.
5 0
3 years ago
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Need help with this question asap!!
Juli2301 [7.4K]

So I took the test and my teacher said to label all of the degrees so

angle 1,3,5,7,9,11,13,15 all = 95 degrees

angle 2,4,6,8,10,12,14,16 all = 85 degrees

I know 1 and 3 are vertical angles

3 and 8 are same side interior angle

4 and 14 alternate interior angles

6 and 12 are alternate exterior angles

13 and 9 are corresponding angles

4 and 7 are same side interior angles

I believe these are correct but you might want to double check with some other source

3 0
3 years ago
The equation y = \large 1\frac{1}{2}x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Deter
Natasha2012 [34]

Answer:

(1\frac{1}{2},1) - False

(4,6) - True

(18,12) -- False

(0,0) -- True

(2\frac{1}{2},3\frac{3}{4}) -- True

Step-by-step explanation:

The points are

(1\frac{1}{2},1) , (4,6), (18,12), (0,0) and (2\frac{1}{2},3\frac{3}{4}) ---- missing from the question

Given

y = 1\frac{1}{2}x

Required

Determine if each of the points would be on y = 1\frac{1}{2}x

To do this, we simply substitute the value of x and of each point in y = 1\frac{1}{2}x.

(a) (1\frac{1}{2},1)

In this case;

x = 1\frac{1}{2} and y = 1

y = 1\frac{1}{2}x becomes

y = 1\frac{1}{2} * 1\frac{1}{2}

y = \frac{3}{2} * \frac{3}{2}

y = \frac{9}{4}

y = 2\frac{1}{4}

<em>The point </em>(1\frac{1}{2},1)<em>  won't be on the graph because the corresponding value of y for </em>x = 1\frac{1}{2}<em> is </em>y = 2\frac{1}{4}<em></em>

(b) (4,6)

In this case;

x = 4

y = 6

y = 1\frac{1}{2}x becomes

y = 1\frac{1}{2} * 4

y = \frac{3}{2} * 4

y = \frac{3* 4}{2}

y = \frac{12}{2}

y = 6

<em>The point </em>(4,6)<em>  would be on the graph because the corresponding value of y for </em>x = 4 is y = 6

(c) (18,12)

In this case:

x = 18;y = 12

y = 1\frac{1}{2}x becomes

y = 1\frac{1}{2} * 18

y = \frac{3}{2} * 18

y = \frac{3* 18}{2}

y = \frac{54}{2}

y = 27

<em>The point </em>(18,12)<em>  wouldn't be on the graph because the corresponding value of y for </em>x = 18<em> is </em>y = 12<em></em>

(d) (0,0)

In this case;

x =0; y = 0

y = 1\frac{1}{2}x becomes

y = 1\frac{1}{2} * 0

y = 0

<em>The point </em>(0,0)<em>  would be on the graph because the corresponding value of y for </em>x = 0 is y = 0

(e) (2\frac{1}{2},3\frac{3}{4})

In this case:

x = 2\frac{1}{2}; y = 3\frac{3}{4}

y = 1\frac{1}{2}x becomes

y = 1\frac{1}{2} * 2\frac{1}{2}

y = \frac{3}{2} * \frac{5}{2}

y = \frac{15}{4}

y = 3\frac{3}{4}

<em>The point </em>(2\frac{1}{2},3\frac{3}{4}) <em>  would be on the graph because the corresponding value of y for </em>x = 2\frac{1}{2} is y = 3\frac{3}{4}

3 0
3 years ago
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