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4 years ago

Ax + by = c To solve each literal equation for the given variable

Mathematics

1 answer:

vodka [1.7K]4 years ago

8 0

Answer:

Step-by-step explanation:

For a:

ax = c - by

a = (c - by)/x

For x:

ax = c - by

x = (c - by)/a

For b:

by = c - ax

b = (c - ax)/y

For y:

by = c - ax

y = (c - ax)/b

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Find the 3 points ........

jonny [76]

Answer:

(0,-7)

(4, -4)

(8, -1)

Step-by-step explanation:

(0,-7)

(4, -4)

(8, -1)

Hope I helped!

7 0

3 years ago

You are a young entrepreneur who ventures into selling milk tea. On the soft opening day, you sold all 50 glasses of classic and

shutvik [7]

Answer:

35 glasses of classic milk tea

15 glasses of flavored milk tea

Step-by-step explanation:

You sold 50 glasses of classic and flavored milk tea.

c + f = 50

You made 4700 when classic tea costs 100 and flavored tea costs 80.

100c + 80f = 4700

Use this system of equation to solve. Use substitution. Rearrange the first equation so that it is equal to c. Then, plug the c-value into the second equation.

c + f = 50

c = 50 - f

100c + 80f = 4700

100(50 - f) + 80f = 4700

5000 - 100f + 80f = 4700

5000 - 20f = 4700

-20f = -300

f = 15

Plug the f-value into one of the equations and solve for c.

c + f = 50

c + 15 = 50

c = 35

35 glasses of classic milk tea and 15 glasses of flavored milk tea were sold.

4 0

3 years ago

Please answer this question.

Nastasia [14]

Answer:

2x - 5

Step-by-step explanation:

1/5(10x - 25)

Use the Distrubitve Property

1/5 * 10x = 2x

1/5 * 25 = 5

New equation is 2x - 5

4 0

3 years ago

A large truck has two fuel tanks, each with a capacity of 150 gallons. Tank 1 is half full, and Tank 2 is empty.

12345 [234]

Answer:

1) $G(t) = 75 + \frac{23}{4}t\\$

2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

Step-by-step explanation:

1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

$\frac{150}{2} = 75 gallons$

Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

$5\frac{3}{4} = \frac{(5x4)+3}{4} = \frac{23}{4}$

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

$G(t) = 75 + \frac{23}{4}t\\$

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

$G(t) = 75 + \frac{23}{4}t\\G(8) = 75 + \frac{23}{4}(8)\\G(8) = 75 + 23(2)\\G(8) = 75 + 46\\G(8) = 121 gallons$

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel

8 0

3 years ago

-1/2(x-6)-1/4(x-4)=x-7

pentagon [3]

-1/2(x-6)-1/4(x-4)-(x-7)= ?

Simplify 1/4
1 ÷ 4 = 0.25

Simplify 1/2
1÷2 = 0.5

The lowest common denominator of this problem is 4

16 - 3(x) / 4 - ( x - 7)

44 - 7(x) / 4

-7(x)+44 = 0

-7 - 44 = -51

-7 - 0 = -7

-7(x) = 44

-7(-1)(x) = x

-1(44) = -44

44 ÷ 7 = 6.28

We have have one solution in this problem

So, therefore x = 44/7

8 0

4 years ago