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Nana76 [90]
2 years ago
14

Change the equation of the line to slope-intercept form. 6x + 2y =10 *

Mathematics
1 answer:
allsm [11]2 years ago
6 0

Answer:

Solve for y.

Step-by-step explanation:

6x+2y=10

6x+2y-6x=10-6x  subtract 6x from both sides.

2y = -6x+10

2y/2 = -6x/2+10/2  divide each term by 2.

y = -3x+5

Hope this helps!

You might be interested in
You have $96 I. A savings account and you deposit an equal amount into your account each week. After 7 weeks the account holds $
Goshia [24]

Answer:

201 = 7y +96

Step-by-step explanation

201 is your total ending balance

you have put in 96 so you have to account for that in the account and it tells you 7 weeks. what you dont know id how much the Y will be put in each of that seven weeks.

7 0
3 years ago
HELP!!!!
VashaNatasha [74]

Step 1: Assign variable for the unknown that we need to find.

Let x be the charge/person who are under age 12

Let y be the charge/person who are over age 12, and

Let z be the charge/person who are adults.

Step 2: Based on the information given write mathematical equation

Statement 1: "A family with 2 kids under age 12, 3 kids over age 12, and 3 adults pays $174 for entrance to the park"

For Under Age 12, 1 kid charge $x, so 2 kids under age 12 charge will be $2x.

For Over Age 12, 1 kid charge $y, so 3 Kids over age 12 charge will be $3y.

For Adults, 1 Adult charge $z, so 3 Adults charge will be $3z

Based on the above statement which mentions the number of person in the family and total cost of $174, we can write our 1st equation as

2x + 3y + 3z = 174 ⇒ 1st Equation

Statement 2: "A mother and father bring their 4 kids under age 12 at a cost of $122"

4 kids under 12 will be charged $4x, & 2 Adults (Mother and father) will be charged $2z, and total cost is given as $122.

Based on the above statement 2, we can write the 2nd equation as

4x + 2z = 122 ⇒ 2nd Equation

Statement 3: A grandmother who brings her teenage granddaughter to the park pays $46.

Grandmother will be considered an adult with teenage granddaughter who need to be considered as kid over age 12.

So we can write the third equation as

y + z = 46 ⇒ 3rd equation.

Step 3: Solve the three equation using substitution method

2x + 3y + 3z = 174 ⇒ 1st Equation

4x + 2z = 122 ⇒ 2nd Equation

y + z = 46 ⇒ 3rd equation

Factoring 3 in the left side of the last two terms of 1st equation we get...

2x + 3(y + z) = 174

Then substituting 46 for y + z we get

2x + 3(46) = 174

2x + 138 = 174 { Subtracting 138 on both sides }

2x +138 - 138 = 174 - 138 {Combining like terms on either side of the equation}

2x = 36 {Dividing 2 on both sides}

2x/2 = 36/2 {Simplifying each fraction}

<em>x = 18</em>

Substituting 18 for x in 2nd equation, 4x + 2z = 122

4(18) + 2z = 122

72 + 2z = 122 {Subtracting 72 on both sides of the equation}

72 + 2z - 72 = 122 - 72 {Combining like terms on both sides of the equation}

2z = 50 {Dividing by 2 on both sides}

2z/2 = 50/2 {Simplifying fraction on both sides of equation}

<em>z = 25</em>

Substituting 25 for z in the 3rd equation y + z = 46

y + 25 = 46 { Subtracting 25 on both sides of the equation }

y + 25 - 25 = 46 - 25 {Combining like terms on either side of the equation}

<em>y = 21</em>

Conclusion:

The cost for an Kid who are under age 12 to enter the theme park = $18

The cost for an Kid who are over age 12 to enter the theme park = $21

<u><em>The cost for an adult to enter the theme park = $25</em></u>

5 0
3 years ago
Find the value of 58-9x
Yuri [45]
You cannot have an answer to this because it is not an equation
5 0
3 years ago
0.25k+1.5-k-3.50.25k+1.5−k−3.5
BARSIC [14]

Answer:

-0.75k - 2.0

Step-by-step explanation:

0.25k + 1.5 − k − 3.5

Combining like terms with rational coefficients

0.25k + 1.5 - k - 3.5

Collect like terms with rational coefficients

=0.25k - k + 1.5 - 3.5

= -0.75k - 2.0

Answer equals negative zero Point seven five k minus two point zero

7 0
3 years ago
I need to simplify for the question
Anastaziya [24]

Answer:

\tt x^2+3xy+4y^2

Step-by-step explanation:

\tt(x-2y)^2+7xy\\\\=x^2-4xy+4y^2+7xy\\\\=x^2+3xy+4y^2

6 0
2 years ago
Read 2 more answers
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