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Masja [62]
3 years ago
15

If M is the set of all square numbers less than 80 and N is the set of all non-negative even numbers that are under 30, Write th

e lists of all elements of M and N.
Mathematics
1 answer:
Nat2105 [25]3 years ago
8 0

Answer:

Step-by-step explanation:

All square numbers are numbers formed by squaring a single number. If M is the set of all square numbers less than 80, then

M = (4, 9, 16, 25, 49, 64)

Even numbers are numbers that are divisible by 2 without remainder.

If N is the set of all non-negative even numbers that are under 30, then

N = (2, 4, 6, 8 ,10, 12, 14, 16,18,20, 22, 24, 26,28)

It will not include 30 because we want even numbers under 30

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3 years ago
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Write the equation in slope intercept form. what are the slope and y intercept?
VMariaS [17]

Option C  

<u> Answer: </u>

The equation in slope intercept form is -\frac{5}{12} x-\frac{11}{12}

The slope is -\frac{5}{12} and y-intercept is -\frac{11}{12}

<u>Solution: </u>

The slope - intercept form equation of line is given as

y = mx + c    ---- eqn(1)

Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.

c is the y – intercept which is the value of y at the point where the line crosses the y-axis

From question, given that -5x - 12y = 11 --- eqn (2)

On converting equation (2) in slope – intercept form, that is adding 5x on both sides,

-5x - 12y + 5x = 5x + 11

-12y = 5x + 11

Now on dividing -12 on both sides,

y=-\frac{5}{12} x-\frac{11}{12}     ---- eqn (3)

Comparing the given equation (3) with equation (1), we get  

m = -\frac{5}{12} and c = -\frac{11}{12}

Hence Option C is correct.

5 0
3 years ago
Use the situation below to complete the table and answer the questions,
Amiraneli [1.4K]

Answer:

t = 13

Step-by-step explanation:

3 months ------ 4500

6 months ------ x

3/6 = 4500/x

cross multiplation:

3x =27000

x = 9000,or we should have just doubled the wages, since the time doubled

3 months ------ 4500

5 months ------ y

3/5 = 4500/y

3y = 22500

y = 7500

3 months ------- 4500

t months -------- 19500

3/t = 4500/19500 = 3/13

3t = 39

t = 13

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That statement would be best express by " x + 25 < 75 ". Since the statement says the sum of x and 25, thus, it will be x + 25. Then it also states that the sum is less than 75, so the best expression would be " < 75".
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How to divide 33 photos into two groups so the ratio is 4 to 7
Nataliya [291]
33 photos in a 4x to 7x ratio

4x + 7x = 33
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x = 3

33 photos can be put in a 4(3) to 7(3) ratio

which is a 12 to 21 ratio

so 12 photos on one side, and 21 on the other side to get the ratio of 4 to 7

Note:
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