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Alexandra [31]
2 years ago
12

Toby thinks of a number less than 15. He divides it by 2 and then he adds 4. He then divides it by 3. His awnser is 3. 5

Mathematics
1 answer:
satela [25.4K]2 years ago
7 0

Answer:

The number he thought of was 13

Step-by-step explanation:

Revers the problem

3.5 * 3 = 10.5

10.5 - 4 = 6.5

6.5 * 2 = 13

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Given y=-3/4x-2. What is the equation of the line that is perpendicular and has the point (-4,1)? Write answer in slope intercep
raketka [301]

Answer:

y=4/3+19/3

Step-by-step explanation:

When it asks for perpendicular it means your focusing on the slope.

Perpendicular means opposite of the current slope, so flip it and change the sign (-3/4 changes to 4/3). Next you will use the equation (y-y1)=m(x-x1)

y1=the y value given

x1=the x value given

m=your slope

(y-1)=4/3(x+4)     Since the x point is minus a negative we get to change the sign to a positive. Next distribute the 4/3 to each term in the parenthesis.

y-1=4/3(x)+4/3(4)

y-1=4/3x+16/3     Now we add the one to both sides.

 +1          +1          The one isn't in teh correct format to just add so first imagine it as 1/1. Now to get the bottom to have a 3 like in 16/3 we just multiply the top and bottom by 3.

\frac{1}{1} x\frac{3}{3}=\frac{3}{3}       Now we can add this to the 16/3

\frac{16}{3} +\frac{3}{3}=\frac{19}{3}  We can now put this back into our equation.

y=4/3+19/3

6 0
3 years ago
Carly has 15 stuffed animals. How many ways are there to organize her top 3 favorites?
Ivanshal [37]
Well, the answer will depend on whether the order will count or not (based on Permutations and Combinations). <em>If the order counts</em>, then we would use the formula for Permutations, which is:
\frac{n!}{(n-r)!}
Where n is the number of items you have, and r is the number of times you choose from the items.
\frac{15!}{(15-3)!}
Which simplifies to
\frac{15!}{(12)!}
Which simplifies to 15*14*13 (because all the numbers 1-12 in the factorial canceled out), which gets us the answer 2730.

Now, if you wanted to find the number of ways to order the toys without replacement (<em>order doesn't count</em>), you would use the formula:
\frac{n!}{r!(n-r)!}
The  variables are still the same, but you are now multiplying by r!.
\frac{15!}{3!(15-3)!}
Simplifies to
\frac{15!}{3!(12)!}
Which simplifies to (using the same cancellation method above)
\frac{2730}{3!}
Dividing 2730 by 3! will get us an answer of 455.

Really, it depends on whether they are ordered or not. In this case (since you didn't specify whether the order mattered), the answer would be 455 or 2730.

:)
4 0
3 years ago
Please helpppp meee !!!!
Marta_Voda [28]

Answer:

y=-9x+193

Step-by-step explanation:

Its decreasing by 9, and 175+(9x2) is 193

6 0
3 years ago
Read 2 more answers
Help 2,4+0,8=.......-0,06=........+1,21=.......+1,78=....-5,14=.
horrorfan [7]
Lets write this out:-

2.4 + 0.8 =______ - 0.06 = _____+ 1.21=_____+1.78=_____- 5.14=___

So to solve d blanks we will do d following:-

2.4 + 0.8 = 3.2

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 - 0.06 = _____+ 1.21=_____+1.78=_____- 5.14=___

Now lets solve again:-

3.2 - 0.06 = 3.14 

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 - 0.06 = 3.14 + 1.21=_____+1.78=_____- 5.14=___

Now lets solve again:-

3.14 + 1.21= 4.25

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 - 0.06 = 3.14 + 1.21 = 4.25 +1.78=_____- 5.14=___

Now lets solve again:-

4.25 +1.78= 6.03

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 - 0.06 = 3.14 + 1.21 = 4.25 +1.78= 6.03 - 5.14=___

Now lets solve again:-

6.03 - 5.14 = 0.89

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 - 0.06 = 3.14 + 1.21 = 4.25 +1.78= 6.03 - 5.14= 0.89

So, 2.4 + 0.8 = 3.2 - 0.06 = 3.14 + 1.21 = 4.25 +1.78= 6.03 - 5.14= 0.89

Hope I helped ya!! xD 
3 0
3 years ago
Circular flower bed is 17 m in diameter and has a circular Samick around it is that to meters wide find the area of the sidewalk
NARA [144]

Answer:

26.69 square meters

Step-by-step explanation:

A=r(3.14)

A= 8.5(3.14)

A=26.69 meters

3 0
3 years ago
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