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4 years ago

Solve the system by substitution. Y = 2x y = 5x - 30

Mathematics

1 answer:

uysha [10]4 years ago

8 0

Answer:

x= 10; y=20

Step-by-step explanation:

2x=5x-30

30=3x

30/3=x

x=10

y=2(10)

y=20

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What is the least two common multiplication 2 and 5

lions [1.4K]

LCM of 2 and 5 =10
The LCM of 2 and 5 is the smallest positive integer 10 that is divisible by both 2 and 5 without any remainder.

7 0

2 years ago

In the toy shop of the theme park is a shelf full of gifts. Two of the gift packets are yellow. One of the yellow packets is the

Angelina_Jolie [31]

Answer:

There is 9 gifts packets on the shelf.

Step-by-step explanation:

"o" represents a not yellow gift packet and "i" represents a yellow packet.

It says "One of the yellow packets is the sixth from the left" so we have

???iooooo

then it says "the other packet is the eighth from the right" AND "Between the two yellow gift packets there are three differently colored packages"

So we have

oooioooio because there is no "17" answer so it can't be

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8 0

3 years ago

Read 2 more answers

The product of two rational numbers is (-28/81). If one of them is (-2/3), the find the other.

KatRina [158]

Answer:

The other rational number is $\dfrac{14}{27}$ .

Step-by-step explanation:

First rational number is $\dfrac{-2}{3}$

Let other rational number is $\dfrac{x}{y}$

The product of two rational numbers is $\dfrac{-28}{81}$

According to question,

$\dfrac{x}{y}\times \dfrac{-2}{3}=\dfrac{-28}{81}$

Multiplying both sides by (-3/2) such that,

$\dfrac{x}{y}\times \dfrac{-2}{3}\times \dfrac{-3}{2}=\dfrac{-28}{81}\times \dfrac{-3}{2}\\\\\dfrac{x}{y}=\dfrac{14}{27}$

So, the other rational number is $\dfrac{14}{27}$ .

6 0

3 years ago

Read 2 more answers

A circle with a centre 0, has an equation x2 + y2 = 25

GaryK [48]

The linear equation of the tangent at point A is given by:

$y = \frac{-4x + 25}{3}$

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, to find the slope, we need to find the derivative at (4,3), using implicit differentiation. Hence:

$2x\frac{dx}{dx} + 2y\frac{dy}{dx} = 0$

$\frac{dy}{dx} = -\frac{x}{y}$

$\frac{dy}{dx} = -\frac{4}{3}$

Then:

$y = -\frac{4}{3}x + b$

We use point (4,3) to find b, hence:

$y = -\frac{4}{3}x + b$

$3 = -\frac{16}{3} + b$

$b = \frac{25}{3}$

Hence, the equation is:

$y = \frac{-4x + 25}{3}$

More can be learned about linear equations at brainly.com/question/24808124

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7 0

2 years ago

Each day of the week mrs uses 3/4 of a gallon of gas what is the amount she uses in five days?

Andrej [43]

Answer:

3.75

Step-by-step explanation:

3/4 times 5 =3 3/4

8 0

1 year ago