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3 years ago

Find the 40th term of the following arithmetic sequence:16,6,-4,-14

1 answer:

6 0

Let the 40th number be x
(x-16)/(-10) + 1 = 40
x-16 = 39(-10)
x = -390 + 16
x = -374

The 40th number in the sequence is -374

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Solve the system of equations given below.

eduard

Answer:

The system of this equation is ( -1, 10) which is Option A.

Step-by-step explanation:

Solve for y in the first equation.

$y = - 5x + 5 \\ - 2y = - x - 21$

Replace all occurrences of yy with -5x+5 in each equation.

$10x - 10 = - x - 21 \\ y = - 5x + 5$

Solve for x in the first equation.

$x = - 1 \\ y = - 5x + 5$

Replace all occurrences of x with -1 in each equation.

$y = 10 \\ x = - 1$

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−1, 10)

Hence, the system of this equation is (-1, 10). 

Option A.

5 0

3 years ago

A bengal tigers tail is around 30% of its total length. The total length of one bengal tiger's tail is 96 cm. Around how long is

Paraphin [41]

Answer:

The length of the tiger is 320 cm.

Step-by-step explanation:

Let the height of a bengal tiger be x.

It is given that the length of tiger tail is around 30% of its total length.

The length of tiger's tail is $\frac{30}{100}x$ .

The total length of a bengal tiger's tail is 96 cm.

$\frac{30}{100}x=96$

$30x=9600$

$x=\frac{9600}{30}$

$x=320$

Therefore the length of the tiger is 320 cm.

5 0

4 years ago

Please help me with math

gogolik [260]

Answer:

part one:

6 3

22 1

30 0

part two:

0.50*s+4*a=15

Step-by-step explanation:

part one:

firstly:

6 individual songs cost 6*0.50= 3 dollars

she has 15 dollars so after downloading 6 individual songs that cost 3 dollars together

it means that she has only 15-3=12 dollars to download full albums

so 12/4=3 albums

because 4 dollar cost one album and with 12 dollars she can buy just 3 albums

secondary:

she downloaded 1 album

and one album cost 1*4=4 dollars

she has 15 dollars ,after buying 1 album

she has 15-4=11 dollars

so she can download 11/0.50=22 individual songs

so she can download 22 individual songs.

the last one:

she downloaded 30 individual songs

that all together cost 30*0.50=15 dollars

but she has 15 dollars at all so she cant buy any album because she spent all her money in individual songs.

because 15-15=0 money left

part two:equation

0.50*s+4*a=15

8 0

3 years ago

X=c/r make the r as a subject

kupik [55]

Answer:

r = c/x

Step-by-step explanation:

7 0

3 years ago

Solve in standard form 2+4i÷7+I

tia_tia [17]

I rewrote it as → L + 2 + $\frac{2i}{7}$

7 0

4 years ago