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3 years ago

I need help for this problem!

Mathematics

1 answer:

lys-0071 [83]3 years ago

7 0

Answer:

$a = 2.7$

Step-by-step explanation:

Distributive property can be used to solve the equation, by multiplying $\frac{2}{3}$ with $6a,$ and $9$

Thus,

$(\frac{2}{3}*6a) + (\frac{2}{3}*9) = 16.8$

$2*2a + 2*3 = 16.8$

$4a + 6 = 16.8$

Subtract 6 from both sides.

$4a + 6 - 6 = 16.8 - 6$

$4a = 10.8$

Divide both sides by 4 to solve for a

$\frac{4a}{4} = \frac{10.8}{4}$

$a = 2.7$

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2 less than 7 times a number c is written as

sammy [17]

Answer:

7c-2

Step-by-step explanation:

7 times a number c tells us that we want to multiply c by seven. 2 less than tells us that we want to subtract 2 from 7c.

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3 years ago

The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i

kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.

Recall the formula for the sum of consecutive positive integers,

$\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2$

Now,

$1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016$

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

$\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224$

numbers, and their sum is

$\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400$

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of $1+9\times2=19$ .

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2 years ago

Find the volume of the cone. Round your answer to the nearest tenth.

oee [108]

Answer:

15205.3

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formula (no numbers): H x R² x π ÷  $\frac{1}{3}$  (or 3) = V

how i got the answer : 30 x 484 x 3.14 ÷ 3 = 15205.31 → 15205.3

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3 years ago

What is 2 units left 2 units up and 4 units right if you start at 0,0

elena-s [515]

That answer would be 2,2

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3 years ago

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To eliminate 6X you would Transform 2x by multiplying what number ?

NARA [144]

Answer:

-3

Step-by-step explanation:

to eliminate 6x we need the same no. 6x but that should be negative. so

2X × -3 = -6X

and

6X+(-6X)=0

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3 years ago

I need help for this problem!​

I need help for this problem!