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3 years ago

Jake ate 1/6 of the cookies at the party if he ate 5 cookies how many cookies were there in all

1 answer:

3 0

If Jake ate 1/6 of the cookies at the party and we know he ate 5 cookies. We must find out how many cookies there are in all.

$\frac{1}{6} = \frac{5}{x}$

Now x here represents how many total cookies are at the party.

We have to simply find out what 1 was multiplied by to get 5.

We can do this by dividing.

5 ÷ 1 = 5

So the numerators (the top numbers) were multiplied by 5. We can do the same to the denominators (the bottom numbers) to get the total number of cookies.

Lets multiply.

6 x 5 = 30

So the total number of cookies is 30

Good Luck! <3

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Write the frost ten terms of a sequence whose first term is -10 and whose common difference is -2

Temka [501]

Answer:

$-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...$

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant, called the common difference

The formula for an Arithmetic Sequence is equal to

$a_n=a_1+(n-1)d$

where

d is the common difference

n is the number of terms

a_1 is the first term of the sequence

In this problem we have

$a_1=-10\\d=-2$

substitute

$a_n=-10+(n-1)(-2)$

$a_n=-10-2n+2$

$a_n=-2n-8$

Find the first ten terms

$a_1=-10$

For n=2 ----> $a_2=-2(2)-8=-12$

For n=3 ----> $a_3=-2(3)-8=-14$

For n=4 ----> $a_4=-2(4)-8=-16$

For n=5 ----> $a_5=-2(5)-8=-18$

For n=6 ----> $a_6=-2(6)-8=-20$

For n=7 ----> $a_7=-2(7)-8=-22$

For n=8 ----> $a_8=-2(8)-8=-24$

For n=9 ----> $a_9=-2(9)-8=-26$

For n=10 ----> $a_1_0=-2(10)-8=-28$

The sequence is

$-10,-12,-14,-16,-18,-20,-22,-24,-26,-28,...$

5 0

3 years ago

Twenty percent of 150 is

Svetlanka [38]

20% of 150 is 30

Change the percentage into a decimal by dividing it over 100:

20 / 100 = 0.2

Multiply:

0.2 × 150 = 30

6 0

3 years ago

How many more monthly payments are made for a 5 year loan than a 2 year loan

Mekhanik [1.2K]

Answer:

36 more loans

Step-by-step explanation:

4 0

3 years ago

Part A: Virginia earned $14 walking her neighbors' dogs on Saturday. She earned some extra money on Sunday doing the same thing.

shutvik [7]

Part A: 14 + 14 = y or 14•2 = y
Part B: (n•2) - 2 = a

Not 100% sure that this is correct but, hope this helps! :) If you have any questions than ask me.

7 0

3 years ago

What is m Help please!

Stels [109]

9514 1404 393

Answer:

40°

Step-by-step explanation:

The similarity statement tells you that angles W and P have the same measure. The sum of angles in the triangle is 180°, so we have ...

∠R +∠W +∠T = 180°

85° +55° +∠T = 180°

∠T = 180° -140°

∠T = 40°

4 0

3 years ago