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4 years ago

A line passes through the point (-6,2) and has a slope of -3/2. Write an equation in slope intercept form for this line.

Mathematics

1 answer:

julsineya [31]4 years ago

4 0

Answer:

y = -3/2x - 7

Step-by-step explanation:

y = mx + b

2 = -3/2(-6) + b

2 = 18/2 + b

2 = 9 + b

b = -7

Equation of line using b and slope from above:

y = mx + b

y = -3/2x - 7

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Mr datu has enough money to pay 8 workers for 15 days if he adds 4 more workers for how long can he pay at the same rate?

vesna_86 [32]

Answer:

10 days

Step-by-step explanation:

Mr Datu can pay 8 workers for 15 days,

Then at the same rate he can pay 1 worker for the number of days = 15×8

= 120

If he adds number of workers = 4

Then total number of workers = 8 + 4 = 12

With the same rate Mr Datu can pay 12 workers for number of days = $\frac{120}{12}$

= 10 days

Therefore, Mr Datu can pay 12 workers for 10 days a the same rate.

7 0

3 years ago

Giving out brainlist and extra points ♥️

Nata [24]

It issss
Y=-1/4x+5
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7 0

3 years ago

Read 2 more answers

By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 sli

photoshop1234 [79]

Answer:

cholesterol in egg= 273 mg

cholesterol in cupcake = 18 mg

cholesterol in slice of pizza = 9 mg

Step-by-step explanation:

Given data:

1 egg , 1 cupcake , 1 slice of pizza = 300mg

3 cupcakes , 4 slices of pizza = 90mg

2 eggs , 1 cupcake = 564mg

Let egg be x , let cupcake be y and let pizza be y

x + y + z = 300 (equation 1)

0x + 3y + 4z = 90 (equation 2)

2x + y + 0z = 564 (equation 3)

Using equation 1 and equation 2

x + y + z = 300 (Multiply equation by 3)

0x + 3y + 4z = 90

3x + 3y +3z =900

0x +3y +4z = 90 (Subtracting the equations)

3x - z = 810 (equation 4)

Using equation 2 and equation 3

0x + 3y + 4z = 90

2x + y + 0z = 564 (Multiply equation by 3)

0x + 3y + 4z = 90

6x +3y + 0z = 1692 (Subtracting the equations)

-6x +4z =-1602 (equation 5)

Solving equation 4 and equation 5

3x - z = 810 therefore z =3x -810

Substituting z into equation 5

-6x +4(3x - 810) =-1602

-6x + 12x - 3240 = -1602

6x = -1602+3240

6x = 1638

x = 273

Substituting x into z = 3x - 810

z = 3(273) - 810

z = 819-810

z = 9

Using equation 1 to find y

x + y + z = 300

273 + y + 9 = 300

282 + y = 300

y = 300-282

y = 18

5 0

3 years ago

Kaya's family spends $105 to rent a boat for 7

Elis [28]

Answer:

A: $45 for 3 days

B: c=d(15)

Step-by-step explanation:

A: If 105 is the cost for 7 days and we want to find the cost for only 3 we have to find the cost for one day to start with so, 105 divided by 7 which is $15 so its 15 dollars a day then you multiply 15 by the number of days we want (3) and you get $45.

8 0

3 years ago

How do I find the length of the side.

ludmilkaskok [199]

Use the Pythagorean theorem /look at the picture/

? = x

$1.\\x^2+13^2=28^2\\x^2+169=784\ \ \ |subtract\ 169\ from\ both\ sides\\x^2=615\\\boxed{x=\sqrt{615}}\\\\3.\\x^2+10^2=28^2\\x^2+100=784\ \ \ \ |subtract\ 100\ from\ both\ sides\\x^2=684\\x=\sqrt{684}\\x=\sqrt{36\cdot19}\\x=\sqrt{36}\cdot\sqrt{19}\\\boxed{x=6\sqrt{19}}$

5 0

4 years ago