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2 years ago

How many 2/3 's make up 4 1/5

Mathematics

1 answer:

miskamm [114]2 years ago

3 0

Answer:

6³/₁₀

Step-by-step explanation:

Number of bits = Total amount/Size of each bit

= (4⅕)/(⅔)

Convert the mixed number to an improper fraction

No. = (²¹/₅)/(⅔)

Invert the denominator and change division to multiplication

No. = ²¹/₅ × ³/₂

Multiply numerators and denominators.

No. = ⁶³/₁₀

Convert the improper fraction to a mixed number.

No. = 6³/₁₀

It takes 6³/₁₀ ⅔s to make up 4⅕.

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24% of what number is 12?

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To get that, you have to multiply the both numbers, which is 24*12=288

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2 years ago

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A chemist has 200mL of a 10% sucrose solution. She adds x mL of a 40% sucrose solution. The chemist needs the concentration of t

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3 years ago

Javier's parents set an amount of money aside when he was born. They earned 4.5% simple interest on that money each year. When J

solmaris [256]

Answer:

Javier's parents set aside $1500 when he was born

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question, we have that:

$E = 1012.50, t = 15, I = 0.045$

We have to find P. So

$E = P*I*t$

$1012.50 = P*15*0.045$

$P = \frac{1012.50}{15*0.045}$

$P = 1500$

Javier's parents set aside $1500 when he was born

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2 years ago

State the various transformations applied to the base function f(x)=|x| to obtain a graph of the function g(x) = |x| − 2.

Molodets [167]

Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.

<h3>Transformation of function</h3>

Transformation technique is a way of changing the position of an object on an xy-plane.

Given the parent function of a modulus function f(x) = |x|, the graph of the function g(x) = |x| - 2 shows a vertical translation of the parent function down by 2 units.

The resulting graph of the translated function is as shown below

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1 year ago

. An individual wishes to invest $5000 over the next year in two types of investment: Investment A yields 5%, and investment B y

tresset_1 [31]

Answer:

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

Step-by-step explanation:

Let

x -----> the amount invested at Investment A yields 5%

y -----> the amount invested at Investment B yields 8%

we know that

$x+y=5,000$

$x=5,000-y$ -----> equation A

$x \geq 0.25(5,000)$

$x \geq \$1,250$ -----> inequality B

$y \leq 0.50(5,000)$

$y \leq \$2,250$ -----> inequality C

$x \geq \frac{1}{2}y$ -----> inequality D

Substitute equation A in the inequality D and solve for y

$5,000-y \geq \frac{1}{2}y$

Multiply by 2 both sides

$10,000-2y \geq y$

Multiply by -1 both sides

$-10,000+2y \leq -y$

Adds y both sides

$-10,000+2y+y \leq 0$

$-10,000+3y \leq 0$

adds 10,000 both sides

$3y \leq 10,000$

Divide by 3 both sides

$y \leq \$3,333.33$ -----> inequality E

therefore

<em>Solve for y</em>

we have

$y \leq \$2,250$ -----> inequality C

$y \leq \$3,333.33$ -----> inequality E

The solution of inequality C and inequality E is

$y \leq \$2,250$

For y=2,250

x=5,000-y ----> x=5,000-2,250=2,750

$x \geq \$2,750$ -----> inequality F

<em>Solve for x</em>

we have

$x \geq \$1,250$ -----> inequality B

$x \geq \$2,750$ -----> inequality F

The solution of inequality B and inequality F is

$x \geq \$2,750$

therefore

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

7 0

2 years ago