Between which two whole numbers does square root of 150 lie

Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 in

love history [14]

Answer:

Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4

Step-by-step explanation:

Given : Samantha has a shelf that is 95 over 4 inches wide.

To find : How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick?

Solution :

The thickness of shelf = $\frac{95}{4}$ inches

Each book thickness = $\frac{5}{4}$ inches

Let the total number of books that could be arranged in the shelf be 'n'.

$\text{Number\ of\ books\ arranged}=\dfrac{\text{Thickness\ of\ shelf}}{\text{Thickness\ of\ one\ book}}$

Substitute the values,

$n=\dfrac{\dfrac{95}{4}}{\dfrac{5}{4}}$

$n=\dfrac{95\times 4}{5\times 4}$

$n=\dfrac{95}{5}$

$n=19$

Therefore, option 1 is correct.

19, because the number of books is 95 over 4 divided by 5 over 4

4 0

2 years ago

What is the radius of the base of the cone in the figure below?

liubo4ka [24]

Answer: approximately 12.17 units

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Work Shown:

We'll use the tangent ratio to find r

tan(angle) = opposite/adjacent

tan(49) = 14/r

r*tan(49) = 14

r = 14/tan(49)

r = 12.1700143294271

r = 12.17

The radius is approximately 12.17 units long.

7 0

2 years ago

What is the simplified form of the equation 4/5n - 1/5 = 2/5n ?

Gnoma [55]

we are given

$\frac{4}{5}n -\frac{1}{5} =\frac{2}{5}n$

Firstly , we will multiply both sides by 5

$5*\frac{4}{5}n -5*\frac{1}{5} =5*\frac{2}{5}n$

now, we can simplify it

$4n-1 =2n$

$2n =1$

now, we can solve for n

$n =\frac{1}{2}$ .............Answer

8 0

3 years ago

A bottle contains 5/9 liters of soda. Keisha has 3 of these bottles.

satela [25.4K]

Answer: 1 2/3 Liters

Step-by-step explanation:

Create the equation

The equation is going to be the amount of soda, multiplied by the amount of bottles Keisha has

5/9 x 3/1 (3/1 is equivalent to having 3 or 1+1+1)

Solve

We are going to multiple the numbers, numerator by numerator, and denominator by denominator since we do not need to add or subtract

Numerator= 5x3=15
Denominator= 9x1=9

Your improper awnser would be 15/9

DO NOT STOP HERE THIS IS NOT THE SIMPLEST FORM

Create the simplest mixed number

15/9 is equal to 15 divided by 9

we can fit 1 9 in 15 without going over

1 ?/15

15-9=6

1 6/9

Simplify

6 and 9 are both divisible by 3

6 divided by 3 = 2

9 divided by 3 = 3

1 6/9=1 2/3

Awnser and add your units

1 2/3 is the simpelest form, this can not be further divided.

1 2/3 Liters of Soda

3 0

2 years ago

hi i'm really struggling with this and its due later today! If someone could show the work of how to do it and the answer that w

GuDViN [60]

Answer:

$\frac{-5 \pm \sqrt{13} }{6}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

$\frac{-5 \pm \sqrt{5^2-4(3)(1)} }{2(3)}$

Step 2: Evaluate

Evaluate Exponents: $\frac{-5 \pm \sqrt{25-4(3)(1)} }{2(3)}$
Evaluate Multiplication: $\frac{-5 \pm \sqrt{25-12} }{6}$
Evaluate Subtraction: $\frac{-5 \pm \sqrt{13} }{6}$

8 0

2 years ago