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3 years ago

PLEASE HELP!!

Mathematics

2 answers:

yanalaym [24]3 years ago

7 0

Here are the answers. the fractions are the rise over run when making the line. don’t forget the y intercept as well. :)

nasty-shy [4]3 years ago

6 0

-5x+2y=6
2y=6+5x
y=5/2x + 6

x+3y=3
3y=3-x
y=-x/3+1

-2x+y=4
y=2x+4

4x+9y=-9
9y=-4x-9
y=-4/9x+1

Hope this helps.

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g An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown number of blue balls. A single b

Fed [463]

Answer:

Therefore the of blue in the second urn is 4.

Step-by-step explanation:

Let second urn contain x number of blue ball .

Urn Red Ball Blue Ball Total Ball

1 4 6 10

2 16 x 16+x

Getting a red ball from first urn is $P(R_1)=\frac{\textrm {Number of red ball}}{\textrm {Total ball}}$ $=\frac{4}{10}$

Getting a blue ball from first urn is $P(B_1)=\frac{\textrm {Number of blue ball}}{\textrm {Total ball}}$ $=\frac {6}{10}$

Getting a red ball from second urn is $P(R_2)=\frac{\textrm {Number of red ball}}{\textrm {Total ball}}$ $=\frac{16}{16+x}$

Getting a blue ball from second urn is $P(B_2)=\frac{\textrm {Number of blue ball}}{\textrm {Total ball}}$ $=\frac {x}{16+x}$

Getting two red balls from first and second urn is $=\frac{4}{10}\times \frac{16}{16+x}$

$=\frac{32}{5(16+x)}$

Getting two blue balls from first and second urn is $=\frac{6}{10}\times \frac{x}{16+x}$

$=\frac{3x}{5(16+x)}$

The probability that both balls are the same in color is $=\frac{32}{5(16+x)}+\frac{3x}{5(16+x)}$

Given that the probability that both balls are the same in color is 0.44.

According to the problem,

$\frac{32}{5(16+x)}+\frac{3x}{5(16+x)}=0.44$

$\Rightarrow \frac{32+3x}{5(16+x)} =0.44$

$\Rightarrow \frac {32+3x}{(80+5x)} =0.44$

$\Rightarrow 32+3x =0.44(80+5x)$

$\Rightarrow 32+3x =35.2 +2.2x$

$\Rightarrow 3x -2.2 x= 35.2 -32$

$\Rightarrow 0.8x= 3.2$

$\Rightarrow x = 4$

Therefore the of blue in the second urn is 4.

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3 years ago

Tim’s savings account pays a simple annual interest rate of 3.5%. Suppose he deposits $5,500 in the account and makes no additio

dimaraw [331]

$6462.5

Simple Interest = (Principal × Rate × Time) / 100

SI = (P×R×T) / 100

P = 5500

R = 3.5

T = 5

[substitute the values into the formula]

SI = (5500 × 3.5 × 5) / 100

SI = 96250 / 100

SI = 962.5

Total = Principal + Simple Interest

T = P + SI

T = 5500 + 962.5

T = 6462.5

The total value of the account after 5 years will be $6462.5

6 0

3 years ago