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1 year ago

Three tenths of a number is 2.1 . Determine the number

Mathematics

2 answers:

Shkiper50 [21]1 year ago

7 0

3/10 N = 2.1

MULTIPLY by 10/3 to each side

10/3 * 3/10 n = 2.1 * 10 /3

n = 2.1 * 10/3

n = 21/3

n =7

Ronch [10]1 year ago

3 0

Answer:

The number is 7.

Step-by-step explanation:

Let the number be x.

Three tenths of a number is 2.1 .

Mathematically we can denote this as:

$\frac{3}{10}\times x=2.1$

Now solving for x, we have ;

$3x=2.1\times10$

$3x=21$

Dividing both sides by 3;

x = 7

Hence, the number is 7.

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What is the length of line segment EF if DE is 6ft and DF is 11ft and angle FDE is 40 degrees

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The length of EF = 7.48 feet

Step-by-step explanation:

* Lets consider these tree segment formed triangle DEF

- We have the length of two sides and the measure of the

including angle between these two sides

* So we can use the cos Rule to find the length of the third side

- The cos rule ⇒ a² = b² + c² - 2bc cosA

# a is the side opposite to angle A

# b is the side opposite to angle B

# c is the side opposite to angle C

# Angle A is the including angle between b and c

* In the problem

∵ DE = 6 feet

∵ DF = 11 feet

∵ m∠FDE = 40° ⇒ including angle between DE and DF

and opposite to EF

- By using cos Rule

∴ (EF)² = (DE)² + (DF)² - 2(DE)(DF) cos∠FDE

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1 year ago

Diana sold 336 muffins at the bake sale.Bob sold 287 muffins.Bob estimates that he sold 50 fewer muffins than Diana.how did he e

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Step-by-step explanation:

Since we have given that

Number of muffins Diana sold at the bake sale = 336

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Now, here we are using the method of estimation i.e. rounding the integers to nearest ones.

By estimation, we get

Number of muffins Diana sold at the bake sale = 340

Number of muffins Bob sold at the bake sale = 290

So,

Difference between them is given by

$340-290\\=50$

Hence, Bob sold 50 fewer muffins than Diana.

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Step-by-step explanation:

<h3> The complete exercise is: " $\frac{9}{25}$ of Polly's co-workers prefer tea over coffee. 25 What percent of Polly's co-workers prefer tea over coffee".</h3>

In order to solve this exercise, you need to follow the steps shown below:

Step 1: Divide the numerator 9 of the fraction by the denominator 25. Then:

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Therefore, you get the following result:

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1 year ago