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3 years ago

I will GIVE THE BRAINIEST

Mathematics

1 answer:

pychu [463]3 years ago

5 0

Answer:

The first and the fourth one.

The ones that could be rationalized are automatically the ones you should pick.

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A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together

sineoko [7]

Answer:

<u>The equations system is:</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Liters of 60% acid solution needed = 10

x = Number of liters of the 50% solution

y = Number of liters of the 90% solution

2. Which equation represents the total liters of acid that are needed?

There are two equations needed:

The first one related to the total liters needed, 10 in this case:

x + y = 10

The second one related to the acid concentration of the 10 liters:

0.5x + 0.9y = 10 * 0.6

0.5x + 0.9y = 6

<u>The equations system is:</u>

Solving for x and y in the 2nd equation, we have:

0.5 (10 - y) + 0.9y = 6

5 - 0.5y + 0.9y = 6

0.4y = 6 - 5

0.4y = 1

y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)

The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.

6 0

3 years ago

the bakery bought 4 bags of flour containing 3.5 kg each. 0.475 kg of flour is needed to make a batch of muffins, and 0.65 kg is

GalinKa [24]

The left out amount of floor is $\boxed{\bf8.85\,\,{\text{kilogram}}}$ .

Further explanation:

The weight of one bag of flour is 3.5 kg.

The bakery bought 4 bags of flour.

Therefore, the total weight of 4 bags is calculated as follows:

$4\times\left({3.5\,\,{\text{kg}}}\right)=14\,\,{\text{kg}}$

The weight of flour needed for a batch of muffins is 0.475 kg.

Therefore, the weight of flour needed for 4 batches of muffins is calculated as follows:

$4\times\left({0.475\,\,{\text{kg}}}\right)=1.9\,\,{\text{kg}}$

The weight of flour needed for a loaf of bread is 0.65 kg.

Therefore, the weight of flour needed for 5 loaves of bread is calculated as follows:

$5\times\left({0.65\,\,{\text{kg}}}\right)=3.25\,\,{\text{kg}}$

So, the total weight of floor used in the process of making muffins and loaves of bread is calculated as follows:

$3.25\,\,{\text{kg+}}1.9\,\,{\text{kg}}=5.15\,\,{\text{kg}}$

Now, the weight of floor that is left out in the bag is calculated as follows:

$14\,\,{\text{kg}}-5.15\,\,{\text{kg}}=8.85\,\,{\text{kg}}$

Thus, the left out amount of floor is $\boxed{\bf8.85\,\,{\text{kilogram}}}$ .

Learn more:

1. Write an algebraic expression for the following word phrase the quotient of r and 12https://brainly.com/question/1600376

2. What is 20÷2(5+5) brainly.com/question/365957

3. Ten hundredths in standard formhttps://brainly.com/question/228852

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Basic Algebra

Keywords:

Bakery, bags, flour, 3.5 kg, muffins, bread, loaf, loaves, kilograms, kg, share, subtract, equally, 8.85 kg, weight, bought

5 0

4 years ago

Is 16 lb greater than or less than 16 oz

Nina [5.8K]

16 pounds are greater than 16 ounces

3 0

3 years ago

24,12,6,...<br>find the 8th term.<br>

weeeeeb [17]

Answer:

a = 24

r = 1/2

8 0

3 years ago

Enter the correct answer in the box.

melomori [17]

Using translation concepts, the equation for function g is given by:

g(x) = 7x/3 + 1.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

Supposing that we have a function f(x), a horizontal compression by a factor of a is equivalent to finding f(ax).

In this problem, the function is:

f(x) = 7x + 1.

For the horizontal compression by a factor of 1/3, we have that:

g(x) = f(1/3x) = 7x/3 + 1.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

3 0

1 year ago