Show me what repeated subtraction looks like for 93 divided by 3

Answers

Answer 1

Answer: 93-3=90
90-3=87
87-3=84
84-3=81
81-3=78
78-3=75
75-3=72
72-3=69
69-3=66
66-3=63
63-3=60
60-3=57
57-3=54
54-3=51
51-3=48
48-3=45
45-3=42
42-3=39
39-3=36
36-3=33
33-3=30
30-3=27
27-3=24
24-3=21
21-3=18
18-3=15
15-3=12
12-3=9
9-3=6
6-3=3
3-3=0

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Solve the following inequality. |3n-2|-2<1

Answers

Answer: $(-1)/(3)$ < n < $(5)/(3)$

Step-by-step explanation:

| 3n - 2 | - 2 < 1

+2 +2

| 3n - 2 | < 3

3n - 2 < 3 and 3n - 2 > -3

+2 +2 +2 +2

3n < 5 and 3n > -1

n < $(5)/(3)$ and n > $(-1)/(3)$

$(-1)/(3)$ < n < $(5)/(3)$

Interval Notation: $((-1)/(3),$ $(5)/(3))$

Graph: $(-1)/(3)$ o--------------------o $(5)/(3)$

$|3n-2|-2<1\n\n|3n-2|<3\n\n3n-2<3 \wedge 3n-2>-3\n\n3n<5 \wedge 3n>-1\n\nn<(5)/(3) \wedge n>-(1)/(3)\n\nn\in \left(-(1)/(3),(5)/(3)\right)$

Are the fractions 1/3 and 3/9 equivalent?

Answers

yes it is equivalent if u multiply 1 times 3 u get 3 if u multiply 3 times 3 is 9 so they r equivalent hope this help:)

yes, the fractions are equivalent.
in order to solve this problem, you need both fractions to have the same denominators.
ask yourself if 3 can go into 9. it can.
you change the denominator of 3 to 9. but when you change the denominator, you also have to change the numerator. since 3 goes into 9 three times, you also multiply the numerator by 3.
1/3 times 3/3 equal 3/9. since 3/9 and 3/9 are the same, they are equivalent

6/10 is bigger, less or equal than 3/4??

Answers

less than. i'm almost positive that is the answer

6/10 is less than 3/4

There are 24 counters. How many counters could you add without having to regroup? why?

Answers

Answer: There are 5 counters that can be added without having to regroup.

Step-by-step explanation:

Since we have given that

Number of counters = 24

We need to add without having to regroup.

It means that we should make it a prime number which does not get divided by any other number except 1 and itself.

so, After 24, there is other numbers that has chances are as follows:

25,26,27,28,29......

But except 29 all the other number can be regroup as they are composite numbers.

But 29 is the nearest prime number after 24.

So, 24+5=29.

Hence, there are 5 counters that can be added without having to regroup.

you can add 5 because 24+5= 29 and still being divisible by 5. if you add six you need to regroup

-3.75 into a fraction

Answers

$-3 (3)/(4)$
is the answer bc .25/100 = 1/3 so .25×3 is 75 and 75/100 = 3/4
75÷25 = 3 and 100÷25=4

Ignore the negative sign for now.

3.75

Split the number into its whole number component and decimal component

3.75 = 3 + 0.75

For the decimal component, 0.75 is the same as 75/100

75/100

Find the GCF (Greatest Common Factor) of 75, 100

GCF = 25

Divide both the numerator and the denominator by the GCF

75 ÷ 25/100 ÷ 25

Simplify

3/4

Combine the whole number component with the fraction

3 3/4

Add the negative sign back

-3 3/4

What is the equation parallel to y= -1/5x + 3 and goes through the point (7,4)? Please show steps.

Answers

Answer:

Step-by-step explanation:

If it's parallel, that means it has the same slope: -1/5.

Use point-slope form to write the equation:

y - 4 = -1/5 (x - 7)

If you wish to write in point-intercept form:

y - 4 = -1/5 x + 7/5

y = -1/5 x + 27/5

If two lines are parallel, it means that they will have the same gradient:

And remember, the equation of a line is y = mx +c

-----------------------------------

So we know that the equation of the parallel line is:

y = - $(1)/(5)$ x + c through point (7, 4)

All we need to do now is to work out what c is

Note: at point (7,4) x = 7 , and y = 4.

So to work out c, we substitute in the values of x and y, and solve:

y = - $(1)/(5)$ x + c

4 = - $(1)/(5)$ * 7 + c

4 = -1.4 + c

5.4 = c

----------------------------------

Finally, we just put the value of c back into the original equation

y = - $(1)/(5)$ x + 5.4

------------------------------------------

Answer:

The equation of the a line parallel to y = - $(1)/(5)$ x + 3 through point (7,4)

is: y = - $(1)/(5)$ x + 5.4

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