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4 years ago

Convert this equation to slope-intercept form: 25x + 10y = 1,000

Mathematics

2 answers:

VLD [36.1K]4 years ago

8 0

Answer:

y = -2.5x + 100

Step-by-step explanation:

25x + 10y = 1,000

10y = -25x + 1000

y = -2.5x + 100

densk [106]4 years ago

3 0

Answer:

y = -2.5x +100

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

We need to solve for y

25x+ 10y =1000

Subtract 25x from each side

25x-25x+10y = -25x +1000

10y = -25x+1000

Divide each side by 10

10y/10 = -25x/10 +1000/10

y = -2.5x +100

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Emma earns $12 an hour babysitting. She wants to save at least $180. Write and solve and inequality to find the minimum number o

zaharov [31]

Answer:

15 hours

Step-by-step explanation:

180 ÷ 12 = 15

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3 years ago

Please help i dont get it

RideAnS [48]

Look at the intersection so the answer should be a

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3 years ago

Felix and Oscar are standing on a tower that is 112 feet high. Felix drops his penny while Oscar throws his penny down and it hi

creativ13 [48]

Answer:

It will take<u> 2.64 s</u> for Felix's penny to hit the ground.

Initial velocity of Oscar's penny is <u>7.27 m/s or 23.85 ft/s</u>

Step-by-step explanation:

Given:

Height of the tower is, $h=112\ ft$

Felix drops the penny while Oscar throws his penny.

Time taken by Oscar's penny to reach ground is, $t_o=2\ s$

Now, as Oscar throws his penny, there will be some initial velocity of his penny. Let the initial velocity of his penny be $u_o$ .

As the penny is falling vertically, acceleration of the penny is due to gravity and is equal to -9.8 m/s².

Now, displacement of the penny is equal to the height of the tower = -112 ft = -34.14 m (1 ft = 0.3048 m)

Using equation of motion,

$y=u_ot+\frac{1}{2}at_o^2\\\\-34.14=2u_o-\frac{1}{2}\times9.8\times 2^2\\\\-34.14=2u_o-19.6\\\\2u_o=-34.14+19.6\\\\2u_o=-14.54\\\\u_o=\frac{-14.54}{2}=-7.27\ m/s$

Now, 1 m/s = 3.28 ft/s

So, 7.27 m/s = $7.27\times 3.28 = 23.85\ ft/s$

Therefore, the initial velocity of Oscar's penny is 7.27 m/s or 23.85 ft/s in the downward direction.

Now, Felix drops the penny. So, initial velocity of Felix's penny is 0 m/s.

Displacement of the penny is same and equal to -112 ft = -34.14 m

Using the same equation of motion,

$y=ut+\frac{1}{2}at^2\\\\-34.14=0-\frac{1}{2}\times9.8\times t^2\\\\-34.14=-4.9t^2\\\\t^2=\frac{-34.14}{-4.9}\\\\t=\sqrt{\frac{-34.14}{-4.9}}\\\\ t=2.64\ s$

Therefore, time taken by Felix's penny to reach ground is 2.64 s.

8 0

4 years ago

What is the next number to follow 17, 18, 22, 31, 47, ?

Minchanka [31]

Answer:

Step-by-step explanation:

First differences are ...

18 -17 = 1

22 -18 = 4

31 -22 = 9

47 -31 = 16

We observe that these are square numbers. The next square number is 25, so we expect the next number in sequence to be ...

47 +25 = 72

3 0

3 years ago

I need help on my warm up!! pls thx!

xxMikexx [17]

Step-by-step explanation:

$\tt{30.16 = 17.56 + 5x}$

Swap the sides of the equation :

⤑ $\tt{17.56 + 5x = 30.16}$

We want to remove the 17.56 first.

Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :

⤑ $\tt{5x + 17.56 - 17.56 = 30.16 - 17.56}$

Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.

⤑ $\tt{5x = 12.6}$

Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.

⤑ $\tt{ \frac{5x}{5} = \frac{12.6}{5}}$

Simplify. 5/5 = 1 on the left and 12.6/5 = 2.52 on the right. So, Our answer is x = 2.52.

$\pink{ \boxed{ \boxed { \tt{Our \: final \: answer : \underline{ \underline{ \bold{ \tt{x = 2.52}}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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7 0

3 years ago