A. Brand A: $2.00 per meter; Brand B: $1.50 per meter; Brand A

Air has a density of 0.001226 g/mL. What volume of air would have a mass of 1.0 lb? A. 2.7 mL B. 815.6 mL C. 37 mL D. 3.7 × 102

Andre45 [30]

Answer:

$Volume = 3.7\ * 10^2\ L$

Step-by-step explanation:

Given

$Density = 0.001226 g/mL$

$Mass = 1.0\ lb$

Required

Determine the volume of air

Density is calculated using:

$Density = \frac{Mass}{Volume}$

Substitute values for Density and Mass

$0.001226 g/mL = \frac{1.0\ lb}{Volume}$

Convert lb to grams

$0.001226 g/mL = \frac{1.0 * 453.592\ g}{Volume}$

$0.001226 g/mL = \frac{453.592\ g}{Volume}$

Solve for Volume

$Volume = \frac{453.592\ g}{0.001226 g/mL}$

$Volume = 369977.161501\ mL$

Convert mL to L

$Volume = 369977.161501\ L * 0.001$

$Volume = 369.977161501\ L$

Represent using scientific notation

$Volume = 3.69977161501\ * 10^2\ L$

Approximate

$Volume = 3.7\ * 10^2\ L$

8 0

3 years ago

Anita invested $6000, some at 5% and the rest at 6%. If the yearly income is $337.50, what is the amount invested at each rate?

Pepsi [2]

Let the amount invested with 5% interest be x

Therefore, the amount invested with 6% interest will be (6000-x)

It is given that the total interest earned yearly is $337.5. Thus, the equation of interest will be:

$\frac{5}{100}x+\frac{6}{100}(6000-x)=337.5$

Multiplying both sides by 100 we get:

$5x+6(6000-x)=33750$

$5x+36000-6x=33750$

Subtracting both sides by 36000 we get:

$-x=-2250$

$\therefore x=2250$

Thus, the amount invested at 5% is $2250

Therefore, the amount invested at 6% will be $(6000-2250)=$3750

6 0

2 years ago

The sum of the angle measures of any triangle is 180 degrees. suppose that one angle in a triangle has a degree measure of −3x5

salantis [7]

If we let m₁, m₂, and m₃ be the measures of the angles of the triangle, the equation that would relate them to each other is,

m₁ + m₂ + m₃ = 180

Given the measures of the first two angles, the measure of the third angle is calculated through the equation,

m₃ = 180 - (m₁ + m₂)

Substituting the known expressions,

m₃ = 180 - (-3x⁵ + 2x²)

Simplifying,

<em> m₃ = 180 + 3x⁵ - 2x²</em>

7 0

2 years ago

The sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age, how old is Mel?

olga55 [171]

Answer:

Age of Mel is 25 years.

Step-by-step explanation:

It is given that,the sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age.

Let 'x' be the Ali's age and 'y' be the Mel's age

<u>To find the value of x and y</u>

sum of Ali and Mel's age is 39

⇒ x + y = 39 ------(1)

Mel is 3 years younger than twice Ali's age

⇒ y = 2x - 3 -------(2)

⇒ 2x - y = 3 -----(3)

(1) + (3) ⇒

x + y = 39

2x - y = 3

----------------

3x = 42

x = 42/3 = 14

y = 2x - 3 = 14*2 - 3 = 25

Therefore the age of Ali = 14

Age of Mel = 25

4 0

2 years ago

What are the leading coefficient, constant term and degree, if any, of the algebraic expression 1+x^3

MA_775_DIABLO [31]

The degree refers to the x to some exponent where the highest exponent is the degree.
Degree: 3
The leading coefficient is the coefficient of the term we just found(of the highest exponent)
Leading Coefficient: 1
The constant term is the term without an x in it.
Constant Term: 1

4 0

2 years ago