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borishaifa [10]
3 years ago
5

What is the slope for 2y=3x+12

Mathematics
2 answers:
Misha Larkins [42]3 years ago
8 0

Answer: The slope is 3/2


Step-by-step explanation:

2y = 3x+12

2/2 & 3/2 & 12/2

y = 3/2x + 6


Y = MX + B

M=slope

The slope is 3/2

Lemur [1.5K]3 years ago
6 0

at the risk of sounding redundant.


\bf 2y=3x+12\implies y=\cfrac{3x+12}{2}\implies y=\cfrac{3x}{2}+\cfrac{12}{2} \\\\\\ \stackrel{slope}{y=\stackrel{\downarrow }{\cfrac{3}{2}}x+6}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

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The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Write and solve a system o
Elenna [48]
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit

"The sum of the digits is 5"
x + y = 5

The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]

The number is: 10x + y
3(10x + y) = 42

The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42

Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out

-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1

then plug x = 1 into either equation to find y

1 + y = 5
y = 4

remember the x and y represent digits so the number xy is 14
6 0
3 years ago
How far is the little guy from the flagpole (assuming a right angle between the flagpole and the ground)? Explain how you got yo
Naya [18.7K]

Answer:

b = 9 ft

Step-by-step explanation:

Pythagorean Theorem:

a^2 + b ^2 = c^2

Given:

a = 12

b = ?

c = 15

Plug in values:

12^2 + b^2 = 12^2

Solve for b^2:

b^2 = 15^2 - 12^2

b^2 = 225 - 144

b^2 = 81

Take square root of both sides to find b:

sqrt(b^2) = sqrt(81)

b = 9


Hope this helps! :)

7 0
3 years ago
Marina earns $15 for 1 hour of babysitting, $23 for 2 hours of babysitting, and $31 for 3 hours of babysitting. Write a function
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This isn't proportional 

5 0
3 years ago
Read 2 more answers
Alaina has 7 in her bank account and earns 6 each day . joel has 48 in his banck account and earn 8 earch day in how many days w
Elis [28]

Answer:

I think you wrote something wrong.

Step-by-step explanation:

If Alaina has $7 in her bank account and Joel had $48 in his Joel already has more then Alaina but I will attempt to teach you how to solve these types of problems.

for this example I'm giving Alaina 79 dollars.

First we know were starting with 79 dollars and increasing 6 dollars each day so the equation for this is; y = 6x + 79 that is Alaina's equation.

For Joel our equation will be; y = 8x + 48.

Since they already have 79 and 48 dollars in their bank we put those as our B in the equation cause they are our y-intercepts. (Y = mx + b) Next we know their increasing by 6 and 8 dollars a day so we make those our m. Once we have these equations we can plot them and see where the lines meet. (thats our answer) I plotted them on desmos graphing calculator.

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Hope this helps!

8 0
2 years ago
Use properties of operations to write an expression equivalent to the sum of the expressions 3(g + 5) and 2(3g - 6)
melisa1 [442]
Well,  you would istribute
using
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so

3(g+5)=3(g)+3(5)=3g+15
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now we gots
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using commutative, we can arrange and group like terms because
a+b=b+a
so
3g+6g+15-12
add
9g+3
3 0
3 years ago
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