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3 years ago

A cube in Emily's closet where she stores her jewelry has a side length of 1 1/4 feet.

Mathematics

2 answers:

sp2606 [1]3 years ago

4 0

Answer: $1\dfrac{61}{64}\text{ cubic feet}$

Step-by-step explanation:

Given : The side length of cube = $1\dfrac{1}{4}\text{ feet}$

We know that the volume of a cube is given by :-

$\text{Volume}=(\text{side})^3$

Thus, the volume of the given cube is given by :-

$\text{Volume}=(1\dfrac{1}{4})^3\\\\\Rightarrow\ \text{Volume}=(\dfrac{5}{4})^3\\\\\Rightarrow\ \text{Volume}=\dfrac{5^3}{4^3}\\\\\Rightarrow\ \text{Volume}=\dfrac{125}{64}=1\dfrac{61}{64}\text{ cubic feet}$

Hence, the volume of the cube is $1\dfrac{61}{64}\text{ cubic feet}$

Gnom [1K]3 years ago

3 0

Answer:

1.95 cubic feet

Step-by-step explanation:

We are given that Emily stores her jewelry in a cube and the cube has a side length of $1\frac{1}{4}$ feet.

$1\frac{1}{4}$ feet in an decimal form is 1.25 feet.

We know that,

volume of a cube = s $^{3}$

where s is the side length of the cube.

So substituting this value of side length of cube in the formula to get:

Volume of cube = $(1.25)^3$ = 1.95 feet

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$13,168is invested, part at 13%and the rest at

Kryger [21]

Answer: the amount invested at 13% is $9748

the amount invested at 5% is $3420

Step-by-step explanation:

Let x represent the amount invested at 13%.

Let y represent the amount invested at 5%.

$13,168 is invested, part at 13 % and the rest at 5%. This means that

x + y = 13168

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

Considering the amount invested at 13%,

P = x

R = 13%

T =1 year

I = (x × 13 × 1)/100 = 0.13x

Considering the amount invested at 5%,

P = y

R = 5%

T = 1 year

I = (x × 5 × 1)/100 = 0.05y

If the interest earned from the amount invested at

13% exceeds the interest earned from the amount invested at

5% by $1438.24, it means that

0.13x - 0.05y = 1438.24 - - -- - - - - -1

Substituting x = 13168 - y into equation 1, it becomes

0.13(13168 - y) - 0.05y = 1438.24

1711.84 - 0.13y - 0.05y = 1438.24

- 0.13y - 0.05y = 1438.24 - 1711.84

- 0.08y = - 273.6

y = - 273.6/- 0.08

y = 3420

x = 13168 - y = 13168 - 3420

x = 9748

7 0

3 years ago

The slope f '(x) at each point (x, y) on a curve. y = f (x) is given along with a particular point (a, b) on the curve. Use this

Advocard [28]

Answer:

Step-by-step explanation:

Integrating each term with respect to x, we get:

x^3 x^2

f(x) = 9--------- + 4------- - 4x + C

3 2

We are told that if x = 0, f(x) = -7, and so C must equal - 7.

The solution is

x^3 x^2

f(x) = 9--------- + 4------- - 4x - 7, or f(x) = 3x^3 + 2x^2 - 4x - 7

3 2

5 0

3 years ago

Please help <3

Aleksandr [31]

Answer:

x =3

Step-by-step explanation:

3(4x + 4) = 2(5x+9) - 12

First step is to open the brackets by multiplying. It becomes

3×4x + 3×4 = 2×5x + 2×9 -12

12x + 12 = 10x + 18 - 12

Collecting like terms on the right hand side and left hand side of the equation, it becomes

12x -10x = 18 -12 -12

2x = -6

Negative sign on the right hand side of the equation overwhelms the positive sign on left hand side of the equation. It becomes

2x = -6

x = -6/2 = -3

Checking

3(4×-3 + 4) = 2(5×-3+9) - 12

-24 = -12-12= -24

So x = -3

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3 years ago

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marin [14]

The missing numbers are 3, and 7
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7 0

2 years ago

Last month Ed ate 9 apples five bananas 4 peaches and 7 oranges find the Ratio of bananas to the total number of fruit then expl

Soloha48 [4]

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3 years ago