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2 years ago

Let n = the number. A number exceeds 45 inequality

1 answer:

3 0

This translates to "a number" is greater than 45. All you have to do now is translate these words into an algebraic statement. Basically, you replace "a number" with the variable which it is defined for, and you use the "greater than" symbol to show that the variable is greater than the value of 45.

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Kat owns 15% more figurines than she did last year. She purchased F figurines this year. Which of the following expressions coul

Stella [2.4K]

Answer: F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.

Explanation:

1) The three expresssions, F / 0.15; 15 F / 100; 3F / 20; are equivalent.

2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:

Call n the amount of figurines owned last year.

F is the number of figurines purchased: F = 15%n = 0,15n

Hence, you just need to clear F from the expression F = 0.15n

Divide both sides by 0.15:

F / 0.15 = n or n = F / 0.15 (reflexive property)

To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:

(F / 0.15) × (100 / 100) = 100F / 15

100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F

4 0

3 years ago

Read 2 more answers

How many times does 8 go into the 7 1/2

Tcecarenko [31]

Answer:

0.9375

Step-by-step explanation:

1/2=0.5

7.5÷8

=0.9375

barely even once

7 0

2 years ago

Simplify (x − 4)(3x2 − 6x + 2). 3x3 + 6x2 − 22x + 8 3x3 − 18x2 + 26x − 8 3x3 − 18x2 − 22x − 8 3x3 + 6x2 + 22x + 8

kogti [31]

Answer:

3x^3-18x^2+26x-8

Step-by-step explanation:

(x-4)(3x^2-6x+2)

3x^3-6x^2+2x-12x^2+24x-8

3x^3-18x^2+26x-8

5 0

2 years ago

Tank 1 initially contains 50 gals of water with 10 oz of salt in it, while tank 2 initially contains 20 gals of water with 15 oz

Naddik [55]

$\dfrac{\mathrm dx_1}{\mathrm dt}=\dfrac{2\text{ oz}}{1\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}$
$\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_2(t)\text{ oz}}{20\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}$

$\implies\begin{cases}\dfrac{\mathrm dx_1}{\mathrm dt}=10-\dfrac1{10}x_1\\\\\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac1{10}x_1-\dfrac14x_2\\\\x_1(0)=10\\\\x_2(0)=15\end{cases}$

6 0

2 years ago

Three consecutive integers have a sum of 42. find the integers.

ioda

The answer is 13,14,15.

6 0

2 years ago