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3 years ago

Find the coordinate of the points of intersection of the graphs without building them: 20x - 15y = 100 and 3x - 5 =6y

Mathematics

2 answers:

gayaneshka [121]3 years ago

8 0

9514 1404 393

Answer:

(x, y) = (7, 2 2/3)

Step-by-step explanation:

We can multiply the first equation by 2/5 to get ...

8x -6y = 40

The second equation gives an expression for 6y that we can substitute.

8x -(3x -5) = 40

5x +5 = 40 . . . . . eliminate parentheses

x +1 = 8 . . . . . . . .divide by 5

x = 7 . . . . . . . . . .subtract 1

Using the second equation, we find ...

3(7) -5 = 6y

y = 16/6 = 2 2/3

The coordinates of the point of intersection are (x, y) = (7, 2 2/3).

Mekhanik [1.2K]3 years ago

5 0

Answer:

(-4.666667, -3.16667)

Step-by-step explanation:

(-4 2/3, -3 1/6)

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I promise I will mark as brainiest my watch was correct at noon, after which it started to lose 17 minutes per hour until 6 hour

Usimov [2.4K]

Answer:

Step-by-step explanation:

Take 17 away from 1:00 = 12:43

Take 17 away from 1:43 = 1:26

Take 17 away from 2:26 = 2:09

Take 17 away from 3:09 = 2:52

There we are: at the time which the watch says now.

Now let's see what the correct time should be:

at 12:43 it is really 1:00

at 1:26 it is really 2:00

at 2:09 it is really 3:00

at 2:52 it is really 4:00

However, it says the watch stopped 6 hours ago meaning that the time should be 10:00 as 4 + 6 = 10.

<h2>I'm always happy to help :)</h2>

5 0

3 years ago

How do you use the order of operations to simplify expression with exponent

insens350 [35]

So the trick I was taught to use was PEMDAS which stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. You solve the parenthesis first, followed by exponents if there are any. Multiplication and division are equal. So if there's multiplication and division in the problem, you solve the one closest to the left or start of the equation first. The same rules apply for addition and subtraction. They are both equal so you solve the first one first, even if the subtraction is before the addition.

7 0

3 years ago

Read 2 more answers

Hannah has only nickels and dimes in her wallet she has a total of $2.50 and a total of 30 coins how many nickels does she have?

hodyreva [135]

She has 10 nickels
She has 20 dimes

8 0

3 years ago

Simplify (4xy^-2)/(12x^(-1/3)y^-5) and Show work ...?

oee [108]

The answer is $\frac{x^{4/3}y^{3}}{3}$ .

The fraction is: $\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }$
Let's rewrite it: $\frac{4xy^{-2} }{12 x^{-1/3} y^{-5} }=\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }$

Since $\frac{x^{a} }{x^{b}} =x^{a-b}$ ,
then:
*** $\frac{x}{ x^{-1/3} }= x^{1-(-1/3)} = x^{3/3+1/3} = x^{4/3}$
*** $\frac{y^{-2} }{ y^{-5} }= y^{-2-(-5)} = y^{-2+5} = y^{3}$
______
$\frac{4 }{12 }*\frac{x }{ x^{-1/3} }*\frac{y^{-2} }{ y^{-5} }= \frac{1*4}{3*4}* x^{4/3}*y^{3}= \frac{1}{3} * x^{4/3}*y^{3}= \frac{x^{4/3}y^{3}}{3}$

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3 years ago

There are 6 gray keys for every seven blue keys write the possible ratios for gray to black keys

mariarad [96]

6:7 I'm pretty sure. Are there any options?

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4 years ago