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3 years ago

What is 0.96 rounded to the neatest tenth.

Mathematics

2 answers:

Alona [7]3 years ago

4 0

Answer:

1.0

Step-by-step explanation:

6 is greater than 5 therefore it rounds 9 up to the next number which is 10, 1.0 or just 1.

Flauer [41]3 years ago

3 0

0.96 rounded to the nearest tenth is 1.0

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Please explain every step

pogonyaev

<h3>Answer:</h3>

761680

<h3>Explanation:</h3>

$\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}$

Identify the following's:

First Term [a] = 60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r] = 1.2

Total Terms [n] = 44

===========================

$\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}$

===========================

Solving Steps:

$\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}$

$\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}$

$\rightarrow \sf 761679.5808$

$\rightarrow \sf 761680 \ \ \ (rounded \ to \ nearest \ integer)$

8 0

2 years ago

Prove that the value of the expression (125^2+25^2)(5^2–1) is divisible by 3

Radda [10]

Step-by-step explanation:

$A =(125^{2} + 25^{2} ) (5^{2} - 1)\\A = [(5^{3})^{2} + (5^{2})^{2} ] . (5^{2} - 1)\\A = (5^{6} + 5^{4} ). (5^{2} - 1)\\A = [5^{4} . ( 5^{2} + 5)].(5^{2} - 1) \\A = 5^{4} . (25+ 5). (5^{2} - 1)\\A = 5^{4} . 30. (5^{2} - 1)\\$

Since 30 is divisible by 3

Thus, A is divisible by 3

Good luck!

5 0

3 years ago

Read 2 more answers

There are 83 species of butterflies at a butterfly world. That is 38 more than 5/6 of the species x, found in Florida. Which equ

Brilliant_brown [7]

The equation to determine the number of species in florida is:

$38 + \frac{5}{6}x = 83 \text{ or } \frac{5}{6}x = 45$

Solution:

Given that,

There are 83 species of butterflies at a butterfly world

That is 38 more than 5/6 of the species x, found in Florida

To find: Equation used to determine the number found in Florida

From given statement,

83 species of butterflies = 38 more than 5/6 of the species x

Which can be written mathematically as,

$83 = 38 + \frac{5}{6} \times x\\\\38 + \frac{5}{6}x = 83$

Thus the equation to determine the number of species in florida is found

Let us solve the equation

$\frac{5}{6}x = 83-38\\\\\frac{5}{6}x = 45\\\\5x = 45 \times 6\\\\5x = 270\\\\x = 54$

Thus 54 species is found in florida

4 0

3 years ago

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

skelet666 [1.2K]

Answer:

Step-by-step explanation:

4 0

3 years ago

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The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by (2x + 3)°. What is t

Vsevolod [243]

Part a)

we know that

An isosceles triangle has two base angles that are congruent

The sum of two base angles plus the vertex angle is equal to $180$ degrees

In this problem

$vertex\ angle=42\°$

$base\ angle=(2x+3)\°$

$42\°+2*(2x+3)\°=180\°$

Solve for x

$42+4x+6=180$

$4x=180-48$

$x=132/4$

$x=33\°$

therefore

the answer part a) is

the value of x is $33\°$

Part b) What is the measure of each base angle?

we know that

$base\ angle=(2x+3)\°$

we have that

$x=33\°$

substitute the value of x in the equation

$base\ angle=(2*33+3)\°$

$base\ angle=69\°$

therefore

the answer part b) is

the measure of each base angle is $69\°$

3 0

2 years ago

Read 2 more answers