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3 years ago

8th grade math question need an answer asap

Mathematics

1 answer:

slamgirl [31]3 years ago

6 0

$5x - 2x - 2 = \frac{1}{4} \\ 3x = \frac{1}{4} + 2 \\ 3x = \frac{9}{4} \\ x = \frac{9}{4} \div 3 \\ x = \frac{3}{4}$

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PLEASE HELP NOW!<br> (-2, -4) and (-3, -3) in a linear equation

chubhunter [2.5K]

The linear equation is y = -x - 6

Step-by-step explanation:

To form a linear equation from two points lie on the line which the equation represented it

Find the slope of the line by using the formula $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
Then use the slope-intercept form of the equation y = m x + b
To find the value of b substitute x and y of the equation by the coordinates of one of the two given points

∵ Points (-2 , -4) and (-3 , -3) lie on the line

∴ $x_{1}$ = -2 and $x_{2}$ = -3

∴ $y_{1}$ = -4 and $y_{2}$ = -3

- Substitute these values in the formula of the slope

∵ $m=\frac{-3-(-4)}{-3-(-2)}=\frac{-3+4}{-3+2}=\frac{1}{-1}$

∴ m = -1

∵ The form of the equation is y = m x + b

∵ m = -1

∴ y = (-1) x + b

∴ y = -x + b

To find b substitute x and y in the equation by the coordinates of

point (-2 , -4) OR (-3 , -3)

∵ x = -3 and y = -3

∴ -3 = -(-3) + b

∴ -3 = 3 + b

- Subtract 3 from both sides

∴ -6 = b

∴ The equation is y = -x + (-6)

∴ y = -x - 6

The linear equation is y = -x - 6

Learn more:

You can learn more about linear equation in brainly.com/question/4326955

#LearnwithBrainly

4 0

3 years ago

A blackjack is a 10-point card and an ace for a value of 21. Use your answers to parts (a), (b), and (c) to determine the probab

kondor19780726 [428]

Answer:

Results:

0.1432

0.0045

0.0905

0.0483

Step-by-step explanation:

Step a:

P(A or 10, A or 10) = 20/52 * 19/51 = 5/13 / 19/51 = 95/663 = 0.1432

Step b:

P(A A) = 4/52 * 3/51 = 1/13 * 1/17 = 1/221 = 0.0045

Step c:

P(10 10) = 16/52 * 15/51 = 4/13 * 5/17 = 20/221 = 0.0905

Step d:

P(A 10 or 10 A) = 2 * 4/52 * 16/51 = 2/13 * 16/51 = 32/663 = 0.0483

As well we get the probability by subtracting a, b and c:

P(blackjack): 0.1432 - 0.0905 - 0.0045 = 0.0482

7 0

3 years ago

Felix scored 52 and 64 on his first two test in Sociology 212. What must he get on the third test to get an average of the three

Pie

Answer:

Felix's third test score must be greater than 94

Step-by-step explanation:

Felix scores on Sociology 212 tests:

1st test - 52

2nd test - 64

3rd test - x

Find the average of Felix's scores:

$\text{Average}=\dfrac{\text{The sum of all scores}}{\text{The total number of scores}}\\ \\\text{Average}=\dfrac{52+64+x}{3}$

An average of the three test must be above 70, this means

$\text{Average}>70\\ \\\dfrac{52+64+x}{3}>70$

Solve this inequality. First, multiply it by 3:

$52+64+x>210\\ \\x>210-52-64\\ \\x>94$

4 0

3 years ago

If n is the larger of two consecutive numbers, write an expression for the other number. Examples of consecutive numbers: 2, 3,

____ [38]

Answer:

The expression for the other number is (n-1)

Step-by-step explanation:

we know that

The difference between two consecutive number is equal to 1

Let

x ----> the smaller of two consecutive number

n ----> the larger of two consecutive numbers

we have that

$n-x=1$

Solve for x

$x=n-1$

therefore

The expression for the other number is (n-1)

8 0

2 years ago

QUESTION 4

zlopas [31]

Answer:

17,912,62 it that answer

5 0

2 years ago