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3 years ago

2/3 divide by 4/5?

Mathematics

1 answer:

Alenkasestr [34]3 years ago

4 0

Answer:

$\frac{5}{6}$

Step-by-step explanation:

$\frac{2}{3}$ ÷ $\frac{4}{5}$

↓ ↓ ↓

leave it change it turn it over

$\frac{2}{3}$ × $\frac{5}{4}$

now solve it

$\frac{2}{3}$ × $\frac{5}{4}$ = $\frac{10}{12}$

now simplify it

$\frac{10}{12}$ = $\frac{5}{6}$

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Stells [14]

Answer:

1/9

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Differentiate Vx(x + 2) with respect to x.

Travka [436]

Answer:

$y'= \frac{3x+2}{2\sqrt{x} }$

General Formulas and Concepts:

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Product Rule: $\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

$y=\sqrt{x} (x+2)$

Step 2: Rewrite

$y=x^{\frac{1}{2} } (x+2)$

Step 3: Differentiate

Product Rule [Basic Power/Chain Rule]: $y'= \frac{1}{2} x^{\frac{1}{2} -1}(x+2)+x^{\frac{1}{2} }(1)$
Simplify: $y'= \frac{1}{2} x^{\frac{-1}{2}}(x+2)+x^{\frac{1}{2}}$
Rewrite: $y'= \frac{x+2}{2\sqrt{x} } + \sqrt{x}$
Add: $y'= \frac{3x+2}{2\sqrt{x} }$

7 0

3 years ago

Alec is trying to find the surface area of a shoe box. What unit of measure will he use?

andrew11 [14]

The surface area is just the total of material used to make the object. So, in this case the surface area is just the material used to make the whole shoe box.

In this question, it states that you have to find the unit of measure that Alec will use to find the surface area of the box.
In this case, you can choose between inches, cm, ft, or many more.
The first thing you do is find the best unit to measure the shoe box with.

Cm would probably take to long to measure the lengths, and because 1 foot equals 12 inches, some sides of the box may not be 1 foot, so ft may be a little bit big.
So the only unit in between cm and ft is inches.
Inches would probably be the best unit of measure.

5 0

4 years ago

A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and w

Len [333]

Answer:

The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy

Step-by-step explanation:

step 1

Find out the unit rate of a regular tube of toothpaste

we know that

To find out the unit rate, divide the total cost by the total weight

$\frac{2.50}{3.2}=\$0.78\ per\ ounce$

step 2

Find out the unit rate of a travel size tube of toothpaste

we know that

To find out the unit rate, divide the total cost by the total weight

$\frac{1.00}{1.2}=\$0.83\ per\ ounce$

step 3

Find out the percent of increase

we have that

The unit rate $\$0.83\ per\ ounce$ represent the 100%

so by proportion

Find out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)

$\frac{0.83}{100\%}=\frac{0.05}{x}\\\\x=100(0.05)/0.83\\\\x=6\%$

therefore

The travel size costs 6 % as much as the regular size. Thus the regular size would be more economical and thus a better buy

6 0

3 years ago

What value of X will make the following equation true? x/8 + x/-3 36 = + 25

oksian1 [2.3K]

Answer:

The answer is x = -24

6 0

3 years ago

2/3 divide by 4/5? ​

2/3 divide by 4/5?