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3 years ago

A recipe that serves 10 uses 5 teaspoons of molasses. How many teaspoons are needed to serve 6?

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

4 0

Answer:

3 teaspoons.

Step-by-step explanation:

I am going to do this by figuring out how many teaspoons of molasses is need to serve 2 and then multiply that number by 3. because 3 x 2 = 6.

10 divided by 5 is 2. 5 divided by 5 equals 1. This means that to feed 2 people you need 1 teaspoon of molasses.

1 tsp + 1 tsp + 1 tsp = 3 tsp.

This means that I need 3 tsp of molasses to feed 6 people.

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Write 85% as it's fraction, as simply as possible

cricket20 [7]

Hey ! there

Answer:

Simplest fraction form of 85% is 17/20 .

Step-by-step explanation:

Question says that we have to write the simplest form of 85% as it's fraction .

Solution : -

$\quad \longrightarrow \qquad \:85\%$

We know that ,

Percent ( % ) = 1/100

So ,

$\quad \longrightarrow \qquad \: 85 \times \dfrac{1}{100} \:$

or ,

$\quad \longrightarrow \qquad \: \dfrac{85}{100}$

Reducing the fraction by cancelling it by 5 :

$\quad \longrightarrow \qquad \: \dfrac{ \cancel{85}}{ \cancel{100}}$

We get :

$\quad \longrightarrow \qquad \: \pink{\underline{\boxed{\frak{\dfrac{17}{20} }}}} \quad \bigstar$

Now , we can't reduce 17/20 .

Henceforth , 17/20 is the simplest form of 85% .

<h2>#Keep Learning</h2>

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2 years ago

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Fudgin [204]

The only error you made is on problem 3. Everything else is correct. Nice work.

-------------------------------------------------------

Here is how to solve problem 3

Plug x = 1 into the equation and solve for y

-3x + y = 1

-3*1 + y = 1 ... replace x with 1

-3 + y = 1

y - 3 = 1

y - 3 + 3 = 1 + 3 .... add 3 to both sides

y = 4

<h3>The answer is 4</h3>

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Verifying the answer:

Plug (x,y) = (1,4) into the equation. Both sides should be the same number after simplifying both sides.

-3x + y = 1

-3*1 + 4 = 1 ..... replace x with 1; replace y with 4

-3 + 4 = 1

1 = 1

The answer is confirmed.

If you were to graph -3x + y = 1, which is equivalent to y = 3x+1, you'll find that the point (1,4) is on this line.

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3 years ago

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Nadya [2.5K]

Answer: 58, 122

Step-by-step explanation:

$x+2x+6=180\\\\3x+6=180\\\\x+2=60\\\\x=58\\\\\therefore 180-x=122$

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1 year ago

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John swims 2.5 miles and sees a total of 12 fishes if he swims 8 miles how many fish will he see

Zolol [24]

Answer:

Step-by-step explanation:

2.5 miles = 12 fishes

Therefore,

8 miles = 12*8/2.5=96/2.5= 960/25=38.4 fishes

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1 year ago

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Alenkinab [10]

Option 2: $4^{\frac{1}{6}}$ is the correct answer.

Step-by-step explanation:

The radical expressions like these are simplified by using fractional exponents

given

$\frac{\sqrt{4}}{\sqrt[3]{4} }$

Converting radicals into exponents

When there is no base the exponent is 1/2 and as the base is 3, the exponent will be 1/3

$=\frac{4^{\frac{1}{2}}}{4^{\frac{1}{3}}}$

As the bases of numerator and denominator is same, the exponents can be subtracted

$=4^{\frac{1}{2}-\frac{1}{3}}\\=4^{\frac{3-2}{6}}\\=4^{\frac{1}{6}}$

Hence,

Option 2: $4^{\frac{1}{6}}$ is the correct answer.

Keywords: Exponents, radicals

Learn more about radicals at:

#LearnwithBrainly

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