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3 years ago

Determine the constant of proportionality in the situation Ten video games cost $145.00

Mathematics

2 answers:

dmitriy555 [2]3 years ago

4 0

Answer: 14.5

Step-by-step explanation: Y=14.5x

slega [8]3 years ago

3 0

Answer:

14.5

Step-by-step explanation:

Divide 145.00 by 10 and your answer is 14.5

Hope this helps :D

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5/6(2x+12)-8=4-(x+1)

alekssr [168]

For this case we have the following equation:

$\frac {5} {6} (2x + 12) -8 = 4- (x + 1)$

We apply distributive property on the left side of the equation:

$\frac {5 * 2} {6} x + \frac {5 * 12} {6} -8 = 4- (x + 1)\\\frac {10} {6} x + \frac {60} {6} -8 = 4- (x + 1)$

We simplify the left side of the equation:

$\frac {5} {3} x + 10-8 = 4- (x + 1)$

Different signs are subtracted and the major sign is placed.

$\frac {5} {3} x + 2 = 4- (x + 1)$

On the right side we must take into account that:

$- * + = -$

So:

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

We add x to both sides of the equation:

$\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3$

We subtract 2 from both sides of the equation:

$\frac {8} {3} x = 3-2\\\frac {8} {3} x = 1$

We multiply by 3 on both sides of the equation:

$8x = 3$

We divide by 8 on both sides of the equation:

$x = \frac {3} {8}$

Thus, the solution of the equation is:

$x = \frac {3} {8}$

Answer:

$x = \frac {3} {8}$

4 0

4 years ago

Write the slope-intercept form of the equation of each line.

shtirl [24]

Answer:

12) $y = -x + 8$

11) $y = 12x + 22$

10) $y = 5x - 4$

9) $y = -2x + 1$

8) $y = 2x + 9$

7) $y = 12x - 28$

6) $y = 1\frac{1}{3}x + 2$

5) $y = 4x - 2$

4) $y = x$

3) $y = 1\frac{2}{5}x - 7$

2) $y = 2x - 4$

1) $y = \frac{2}{3}x - 8$

Step-by-step explanation:

12)

y - 4 = −(x - 4)

y - 4 = −x + 4

+ 4 + 4

__________

$y = -x + 8$

_______________________________________________

11)

y + 2 = 12(x + 2)

y + 2 = 12x + 24

- 2 - 2

____________

$y = 12x + 22$

_______________________________________________

10)

y - 1 = 5(x - 1)

y - 1 = 5x - 5

+ 1 + 1

_________

$y = 5x - 4$

_______________________________________________

y - 5 = −2(x + 2)

y - 5 = −2x - 4

+ 5 + 5

___________

$y = -2x + 1$

_______________________________________________

y - 5 = 2(x + 2)

y - 5 = 2x + 4

+ 5 + 5

__________

$y = 2x + 9$

_______________________________________________

y + 4 = 12(x - 2)

y + 4 = 12x - 24

- 4 - 4

____________

$y = 12x - 28$

_______________________________________________

4x - 3y = −6

-4x - 4x

__________

−3y = −4x - 6

___ _____

−3 −3

$y = 1\frac{1}{3} + 2$

_______________________________________________

4x - y = 2

-4x - 4x

_______

−y = −4x + 2

$y = 4x - 2$

_______________________________________________

x - y = 0

______

−y = −x

$y = x$

_______________________________________________

7x - 5y = 35

-7x - 7x

_________

−5y = −7x + 35

___ ______

−5 −5

$y = 1\frac{2}{5}x - 7$

_______________________________________________

2x - y = 4

-2x - 2x

_______

−y = −2x + 4

$y = 2x - 4$

_______________________________________________

2x - 3y = 24

-2x - 2x

_________

−3y = −2x + 24

___ _______

−3 −3

$y = \frac{2}{3}x - 8$

I am delighted to assist you anytime.

5 0

3 years ago

Please help me with this, please!!!!!!!!!!!!!!!

DIA [1.3K]

First point (0,1)
x=0, -3*0+2y=2, y=1

second point (2,4)
-3x+2y=2
x=2, -3*2+2y=2, -6+2y=2, 2y=8, y=4

third point (-2, -2)
x=-2, -3*(-2)+2y=2, 6+2y=2, 2y=-4, y=-2

5 0

4 years ago

Calculate the finance charge and new balance using the previous balance method. Previous balance = $179.32 Annual rate = 16% Fin

garik1379 [7]

Annual Rate = 16% = 16/100 = 0.16
Monthly Rate = (annual rate)/12
Monthly Rate = (0.16)/12
Monthly Rate = 0.01333 ... this is approximate

Finance Charge = (Monthly Rate)*(Previous Balance)
Finance Charge = (0.01333)*(179.32)
Finance Charge = 2.3903356
Finance Charge = 2.39

The purchases and payments do not factor in the finance charge since they are made during this current billing cycle. The previous balance method only looks at the balance at the end of the previous cycle.

Once the finance charge is calculated, we add on the new purchases and the finance charge to the old balance. We also subtract off the payments/credits. Doing all this calculates the new balance for this billing cycle.

New Balance = (Old balance) + (Purchases) + (Finance Charge) - (Payment)
New Balance = 179.32 + 117.42 + 2.39 - 85
New Balance = 214.13

In summary,
Finance Charge = $2.39
New Balance = $214.13

5 0

3 years ago

Will mark brainliest and 15 points

insens350 [35]

Answer:

Step-by-step explanation:

x - 3y -15

x = -3

6 0

3 years ago