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Mathematics

1 answer:

Liono4ka [1.6K]4 years ago

8 0

Given : y = -25 and x = -5

We can notice that if we Multiply 'x' with 5 we get 'y'

That is (-5) × 5 = -25

⇒ x multiplied by 5 = y

(a) The Equation that relates x and y is 5x = y

(b) We found that the Equation of this Direct variation is : 5x = y

The Question is to find the value of y when x = 3

The Value of y at x = 3 can be found by simply substituting x = 3 in the equation we found.

⇒ y = 5x

⇒ y = 5 × 3

⇒ y = 15

So, the Value of y when x = 3 is 15

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The formula of triangles

Basile [38]

Answer:

area of triangle = 1/2 ×base×height

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3 years ago

While at the beach Daniel buys lunch for his family from a food stand he purchased one hotdog for $2.50 and three hamburgers if

Alex17521 [72]

The cost of each hamburger is $ 3.5

Solution:

Given that, Daniel purchased one hotdog for $2.50 and three hamburgers

He spent $ 13 in total

Let "H" be the cost of each hamburger

From given,

one hotdog for $2.50 + three hamburgers each for "H" = $ 13

Thus we get,

$1 \times 2.50 + 3 \times H = 13\\\\2.50 + 3H = 13\\\\\text{Solve the above equation for H}\\\\3H = 13 - 2.50\\\\3H = 10.5\\\\\text{Divide both sides of equation by 3}\\\\H = 3.5$

Thus cost of each hamburger is $ 3.5

7 0

3 years ago

Which expressions are equivalent to the one below? Check all that apply. 2^5 • 2^x

umka21 [38]

When you multiply exponential expressions that have the same base, you simply add the exponents. This is true for both numbers and variables. When you include other numbers in the multiplication, you simply factor and break the expression into several multiplications.
2^5 * 2^x= 2^(5 + X)

3 0

3 years ago

What is the problem 5 3 +2 3

Murljashka [212]

Answer:

$\: \: \: 53 \\ + 23 \\ = 76$