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gogolik [260]
3 years ago
7

3x + 5y = 30

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0

Answer:

y= - \frac{3x}{5}  + 6

Step-by-step explanation:

The given linear equation is

3x + 5y = 30

To solve for y, we first subtract 3x from both sides to obtain:

5y = 30 - 3x

Divide through by 5

\frac{5y}{5}  =  \frac{30}{5}  -  \frac{3x}{5}

This simplifies to

y= 6-  \frac{3x}{5}

Or

y= - \frac{3x}{5}  + 6

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wolverine [178]

Answer:

There are 360 such numbers.

Step-by-step explanation:

The number of 6-digit numbers, formed using each digit from 1 to 6 excactly once, means we can have numbers like

123456, 123465, 123546,123564,.... 654321

The number of such numbers is given by 6! because we have a choice of 6 numbers for the first digit, 5 left for the next, ... until the last digit has only one choice.

6! = 6*5*4*3*2*1 = 720

We know that 1+2+3+4+5+6 = 21 is divisible by three, so all 720 numbers are divisible by 3.

However, to be divisible by six, we need a number divisible by three AND divisible by two.

Thus, out of the 720 numbers, we need count only the even numbers, which are exact half of the 720, or 360.

Therefore there are 360 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by 6.

4 0
3 years ago
Read 2 more answers
1) Does the point (0,4) make either equation true? Substitute it in and find out.​
Gekata [30.6K]

Answer:

The point (0,4) doesn't make either equation true.

Step-by-step explanation:

Consider the equations.

y=-2x and y=x+3

We need to determine the point (0,4) make either equation true.

Substitute x=0 and y=4 in y=-2x

4=-2(0)

4=0

Which is false.

Substitute x=0 and y=4 in y=x+3

4=(0)+3

4=3

Which is false.

Hence, the point (0,4) doesn't make either equation true.

7 0
3 years ago
What is the difference between an isosceles triangle and an equilateral?​
Rus_ich [418]

A triangle that has 2 sides congruent is called an isosceles triangle.

A triangle that has all 3 sides congruent is called an equilateral triangle.

I have attached a picture below which will help you.

8 0
3 years ago
Construct the cumulative frequency distribution for the given data. Daily Low ​(degrees°​F) Frequency ​35-39 11 ​ 40-44 22 ​ 45-
zzz [600]

Answer:

The cumulative  frequency distribution is

<em>Class      Cumulative</em>

<em>Interval  frequency</em>      

35-39 11

40-44 33

45-49 77

50-54 90

55-59 156

60-64 244

65-69 255

Step-by-step explanation:

<em>Class </em>

<em>Interval  F  C.F</em>      

35-39 11 11

40-44 22 11+22=33

45-49 44 33+44=77

50-54 13 77+13=90

55-59 66 90+66=156

60-64 88 156+88=244

65-69 11 244+11=255

The first column contains class interval. The second column denoted by F contains frequencies. The third column contains cumulative frequencies denoted as C.F.

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3 years ago
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Answer:

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Step-by-step explanation:

8 0
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