Write y=1/8x+7 in standard form using integers.

Answers

Answer 1
Answer: This is a linear function in the slope - intercept form:
y = m x + b and we need a standard form:
a x + b y = c
y = 1/8 x + 7   / * 8 ( we will multiply both sides of equation by 8 )
8 y = x + 56
- x + 8 y = 56  / * ( - 1 )
x - 8 y = - 56
Answer 2
Answer:

The equation is  y = 1/8x + 7

Standard form equation is Ax + By = C,  where A > = 0.

First eliminate the fractions by multiplying the equation by 8

8y = x + 56

Subtract x from each side

-x + 8y = 56

SInce x coeficient can't be negative multiply the equation by negative one.

x - 8y = -56


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Use the multiplication principle of equality to eliminate fractions, then solve for x3/4x-3/10=1/4+6/5x

Answers

(3)/(4)x- (3)/(10)= (1)/(4)+ (6)/(5)x\ \ |  \ multiply \ each \ term \ by \ 20\n\n5*3x-2*3=5+4*6x\n\n15x-6=5+24x\ \ |\ subtract\ 24x\ to\ both\ sides       \n\n 15x-24x-6=5 \ \  | \ add\ 6\ to\ both\ sides \n\n15x-24x =5+6  \n\n-9x =11\ \ | \ divide \ both \ sides\  by\ (-9) \n\nx=-(11)/(9) 

A jar contains 24 coins: 10 quarters, 6 dimes, 2 nickels, and 6 pennies.What is the probability of randomly drawing _____ ?
1. a penny
2. a quarter
3. a coin that is not a penny

Answers

The probability of randomly drawing a penny is 6/24 or 1/4, since there are 6 pennies out of a total of 24 coins.

How to solve and What is Probability?

The probability of randomly drawing a quarter is 10/24 or 5/12, since there are 10 quarters out of a total of 24 coins. The probability of randomly drawing a coin that is not a penny is 18/24 or 3/4, since there are 18 coins that are not pennies out of a total of 24 coins.

Probability is the branch of mathematics that deals with measuring the likelihood or chance of an event or outcome occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

Probability theory is used to make predictions and informed decisions based on available data in various fields, including statistics, finance, engineering, and science.

It involves understanding and analyzing random events, and determining the likelihood of specific outcomes. Probability is an essential tool for decision-making in various applications, such as risk analysis, game theory, and quality control.

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Mt. Everest is 29,028 feet high. How many miles in this? (there are 5,280 feet in one mile) Solve.

Answers

That would be about 5.49 miles.


From 29,028 feet, divide that by 5,280 feet. This number gives you the amount of miles, which is roughly 5.49.

A water balloon is tossed into the air with an upward velocity of 25 ft/s. Its height h(t) in ft after t seconds is given by the function h(t) = − 16t2 + 25t + 3. Show your work.After how many seconds will the balloon hit the ground? (hint: Use the quadratic formula)


What will the height be at t = 1 second
PLEASE HELP,,STUCK :(

Answers

1) h (t) = -16t^2 + 25t + 3 \n \nh(t) = 0 \n \n 0 = -16t^2 + 25t + 3 \n \n quadratic \ formula \n \n a = -16 \ , \ b = 25 \ , c = 3 \n \n t =  (-25 \pm  √(25^2-4(-16)(3)) )/(2(-16)) \n \n  (-25 \pm  √(625+192) )/(-32) \n \n  (-25 \pm  √(817) )/(-32) \n \n  (-25 \pm 28.5832)/(-32) \n \n t =  (-25 - 28.5832)/(-32) \n \n t =  (-25 + 28.5832)/(-32) \n \n  (53.5832)/(32) \n \n      (53.5832)/(32) \n \n  1.66447

The water ballon will hit the ground after 1.66447 seconds.

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2) t = 1 \n \n h(1) = -16(1)^2 + 25(1) + 3 \n \n -16 + 25 + 3 \n \n 12

The height will be 12 feet if t = 1 second.

Final answer:

To find when the balloon hits the ground, set the height function equal to zero and solve using the quadratic formula. The balloon will hit the ground after approximately 1.924 seconds. To find the height at t = 1 second, substitute t = 1 into the height function to get a height of 12 feet.

Explanation:

To find when the water balloon hits the ground, we need to set the height function, h(t), equal to zero and solve for t. In this case, the height function is given by h(t) = -16t^2 + 25t + 3.

Setting h(t) equal to zero, we get:

-16t^2 + 25t + 3 = 0

Using the quadratic formula, t = (-b ± sqrt(b^2 - 4ac)) / (2a), where a = -16, b = 25, and c = 3, we can determine the value of t.

After substituting the values into the quadratic formula and solving for t, we find two values: t ≈ 0.051 seconds and t ≈ 1.924 seconds. Since we are looking for when the balloon hits the ground, we can ignore the first solution and conclude that the balloon will hit the ground after approximately 1.924 seconds.

To find the height at t = 1 second, we can substitute t = 1 into the height function. This gives us:

h(1) = -16(1)^2 + 25(1) + 3 = -16 + 25 + 3 = 12 feet.

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Solve the equation: 6x - 4 + 2(5x + 2) = 16x*1.) 0
2.) 1
3.) -2
4.) Infinitely Many
5.) No Solution

Answers

The answer is that there is no solution.

The problem would be 16x = 16x so there is no solution.

How many halves are there in 14 and a halfhow many halves are there in 14 and a half

Answers

14, 1/2 = 29/2
14 x 2 since it's a half = 28 plus another half is 29 halves :)