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3 years ago

What is 1/2 in a decimal form

Mathematics

2 answers:

svetlana [45]3 years ago

4 0

1/2 = 0.5

Solution:

2/1=0.5

Umnica [9.8K]3 years ago

3 0

1/2 as a decimal is 0.5 or .5

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Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make sals.

Grace [21]

The number of batches of salsa that can be made = x = 6 batches

The number of bat tomato sauce that can be made = y = 3 batches

Step-by-step explanation:

We are given the system of equations:

$x+5y=21\\x+y=9$

where variable x represents the number of batches of salsa that can be made and y represents the number of bat tomato sauce that can be made.

We need to solve the systems to find the values of x and y.

Let:

$x+5y=21\,\,\,eq(1)\\x+y=9\,\,\,eq(2)$

Subtract both equations:

$x+5y=21\\x+y=9\\-\,\,\,-\,\,\,\,\,\,-\\------\\4y=12\\y=\frac{12}{4}\\y=3$

So, value of y=3

Putting value of y in eq(2) and finding value of x:

$x+y=9\\x+3=9\\x=9-3\\x=6$

So, value of x=6

The number of batches of salsa that can be made = x = 6 batches

The number of bat tomato sauce that can be made = y = 3 batches

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

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3 years ago

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Ethan goes to a store an buys an item that costs x dollars. He has a coupon for 5% off, and then a 9% tax is added to the discou

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Given tan θ = 2 and sin θ < 0. Find cos(θ +pi/4)

Lera25 [3.4K]

Answer:

√10 / 10

Step-by-step explanation:

tan θ > 0 and sin θ < 0, so θ is in quadrant III. That means cos θ < 0.

cos(θ + π/4)

Use angle sum formula.

cos θ cos(π/4) − sin θ sin(π/4)

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Factor.

½√2 cos θ (1 − tan θ)

½√2 cos θ (1 − 2)

-½√2 cos θ

Write in terms of secant.

-½√2 / sec θ

Use Pythagorean identity (remember that cos θ < 0).

-½√2 / -√(1 + tan²θ)

-½√2 / -√(1 + 2²)

½√2 / √5

√10 / 10

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