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denis23 [38]
2 years ago
14

Solve the following for y: −6x + 2y = 8

Mathematics
2 answers:
TEA [102]2 years ago
8 0

Answer:

y = 3x+4

Step-by-step explanation:

−6x + 2y = 8

To solve for y we need to get y alone

To isolate 2y we eliminagte -6x, add 6x on both sides

−6x+6x + 2y = 8+6x

2y = 6x+8

To get y alone , we need to eliminate 2 from y

Divide both sides by 2

y = 3x+4

Masteriza [31]2 years ago
6 0
-6x + 2y = 8
isolate the y
first add 6x to both sides
2y = 6x + 8 
then divide everything by 2 to isolate the y
y = 3x + 4

Hope this helps
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On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plant
VladimirAG [237]

Answer:

a) 2\frac{7}{12} kg of plant food did Sheldon have left.

b) She need is \frac{43}{12} kg and she don't have enough to left.

Step-by-step explanation:

Given : On Sunday, Sheldon bought 4\frac{1}{2} kg of plant food. He used 1\frac{2}{3} kg on his strawberry plants and used \frac{1}{4} kg for his tomato plants.

To find :

a) How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.

Solution :

Sheldon bought plant food 4\frac{1}{2}=\frac{9}{2} kg.

He used strawberry plants 1\frac{2}{3}=\frac{5}{3} kg.

He used tomato plants \frac{1}{4} kg

Kilograms of plant food did Sheldon have left is given by,

L=\frac{9}{2}-(\frac{5}{3}+\frac{1}{4})

L=\frac{9}{2}-\frac{23}{12}

L=\frac{54-23}{12}

L=\frac{31}{12}

L=2\frac{7}{12}

Therefore, 2\frac{7}{12} kg of plant food did Sheldon have left.

b) Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will he need? Does he have enough left to do so?

Solution :

Sheldon wants to feed his strawberry plants 2 more times.

i.e. Strawberry plants used is 2(\frac{5}{3})=\frac{10}{3} kg.

His tomato plants one more time i.e. \frac{1}{4} kg.

Total plant she need is \frac{10}{3}+\frac{1}{4}=\frac{43}{12}

As \frac{31}{12}

No she don't have enough to left.

4 0
3 years ago
HELP PLEASE!! <br> Last one!!! <br> I need to pass
mash [69]
The answer is a. hope this helps
4 0
3 years ago
The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 se
kakasveta [241]
Let:
x = cost of senior citizen ticket
y = cost of student ticket

4x + 5y = 102
7x + 5y = 126

4x + 5y = 102
4x = 102 - 5y
x = (102 - 5y)/4
x = 102/4 - 5y/4

7x + 5y = 126
7(102/4 - 5y/4) + 5y = 126
(714/4 - 35y/4) + 5y = 126
-35y/4 + 5y = 126 - 714/4

note:
-35y/4 = -8.75y
714/4 = 178.5

-8.75y + 5y = 126 - 178.5
-3.75y = -52.5
y = -52.5/-3.75
y = 14


x = 102/4 - 5y/4
x = 102/4 - 5(14)/4
x = 8

x = cost of senior citizen ticket = $8/ea
y = cost of student ticket = $14/ea



6 0
2 years ago
Trigonometry need help on this one
morpeh [17]

Answer:

Step-by-step explanation:

you have a right triangle, more precisely is a isosceles right triangle, as you have one angle= 45⁰, the other angle is also= 45⁰

In this triangle the hypotenuse, c, is

c=9\sqrt{2}= 12.72

7 0
2 years ago
Work out the area of a rectangle of dimensions 4 cm by 8cm
dedylja [7]
Area = 4 cm * 8 cm = 32 cm²
5 0
3 years ago
Read 2 more answers
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