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3 years ago

Solve for y: ax+yb=c

Mathematics

1 answer:

Ganezh [65]3 years ago

4 0

Answer:

y = $\frac{c-ax}{b}$

Step-by-step explanation:

ax + yb = c ( subtract ax from both sides )

yb = c - ax ( isolate y by dividing both sides by b )

y = $\frac{c-ax}{b}$

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John’s teacher gave him the following system of equations and asked him to find the point of intersection. 3x + 2 = y 2x – 3= y

Galina-37 [17]

1) to this case you must match both equations

3x+2 = 2x-3 ⇒3x-2x = -3-2⇒x= -5

now the value of x substitute it in the any of two equations, y = 3(-5)+2 = -13

and the other equation is the same value

y = 2(-5)-3 = -13

the point is ( -5,-13)

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3 years ago

What is the ratio equivalent to 3/10

Dafna1 [17]

Here, 6/20 9/30 etc

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3 years ago

Mr eliot is extremely careful with his money. He recently invested part of his $150,000 life savings in gold bullion and the res

DIA [1.3K]

Answer:

The amount invested in gold bullion by Mr. Eliot = $50,000

Step-by-step explanation:

Total amount of savings Me. Eliot ha s = $150,000

Let us assume the amount invested in gold bullion = $m

So, the amount invested in bank = $150,000 - m

Now, 5% on m = $\frac{5}{100} \times m = 0.05 m$

So, the profit in gold bullion = 0.05 m

and 3% on (150,000 -m) = $\frac{3}{100} \times (150,000 -m) = 0.03 (150,000 -m)$

= 4,500 - 0.03 m

So, the profit in bank = 4,500 - 0.03 m

Now, the total profit = $5,500

⇒Profit from gold bullion + ban = $5,500

⇒0.05 m + 4,500 - 0.03 m = $5,500

or, 0.02 m = 1000

⇒ m = 1000/0.02 = 50,000

Hence, the amount invested in gold bullion = m = $50,000

3 0

3 years ago

You have $814 that you want to share equally between 5 charities.

kifflom [539]

Answer:

give each charity $60

Step-by-step explanation:

$814 to divide equally to 5 charities.

From 814 if we give -100, -100, -100, -100, -100, we have left 314 to split in 5

the most useful next step is to give each charity $60

From $814 if we give -100, -100, -100, -100, -100

-60, -60, -60, -60, -60

we have left now:

814 -5*100 -5*60 = 814-500-300 = $14 left to split among the 5 charity.

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2 years ago

Which expression is equivalent to √-80?<br> 4√5<br> -4√5<br> -4i √ 5<br> 4i √ 5

miskamm [114]

Answer:

4i√5

Step-by-step explanation:

$\sqrt{-80}=\sqrt{(-1)(16)(5)}=\sqrt{-1}\cdot\sqrt{16}\cdot\sqrt{5}=4i\sqrt{5}$

6 0

3 years ago