If Jacob has 12 gallons of soda for a Christmas party, how many pints of soda does he have?

Lily sells loose tea for $0. 71 per gram. If one gram is equivalent to 0. 035273 ounces, how much does it cost to buy 0. 45 poun

Dominik [7]

Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.

<h3>What is Units conversion?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,

Pounds to Ounces

$\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces$

Grams to Ounces

$\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams$

Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,

$\rm Total\ cost= 204.12 \times \$0.71 = \$144.93$

Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.

Learn more about Units conversion:

brainly.com/question/4736731

3 0

2 years ago

If you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.

Murrr4er [49]

Answer:1/5 you can buy 1/5

Step-by-step explanation:

6 0

3 years ago

Simplify the expression. Assume all variables are positive. <br> (r/32s)^8/5

balandron [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

The given expression is :

$(\frac{r}{32s} )^{\frac{8}{5} }$

It could be written as

$(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{32} )^{\frac{8}{5} }$

32 could be written as $2^{5}$

So, replacing that in our expression

$(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2^{5} } )^{\frac{8}{5} }$

$(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{5*\frac{8}{5} }$

$(\frac{r}{s} )^{\frac{8}{5} }*(\frac{1}{2} )^{8}$

$\frac{1}{256}*(\frac{r}{s} )^{\frac{8}{5} }$

This is the simplified form of given expression. : Answer

Hope it will help :)

6 0

3 years ago

Your part time job pays you $14/h. You work approximately 12 hours/week.

kirill115 [55]

Answer:

<u>BOX 1 </u>= 672.00

(14 * 12 = 168

168 * 4 = $ 672 )

2. <u>BOX 2</u> = 282.95

(Cell phone= $45 A MONTH

Eating outside = $50 A MONTH

12 .50 * 4 = 50 (4 WEEKS A MONTH )

Transportation = 131.2 A MONTH

32.80 * 4 = 131.2 (4 WEEKS A MONTH )

Movie = $16.75 A MONTH

Charity = $ 40 A MONTH

10 * 4 (4 WEEKS A MONTH )

<u> MONTHLY EXPENSE </u> = 45 + 50 + 131.2 + 16.75 + 40

<u> MONTHLY EXPENSE </u> = 282.95 )

3. <u>BOX 3</u> = 389.05

Money that can be saved = Monthly income - Monthly expense

Money that can be saved = 672 - 282.95

= 389.05

<h2><em><u>please give brainliest </u></em></h2>

4 0

3 years ago

Perform the indicated row operations

SVETLANKA909090 [29]

Answer:

$\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}$

Step-by-step explanation:

Given matrix is,

$\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & 3 & -2 & 5\\ 0 & 10 & 8 & 2\end{bmatrix}$

Operations performed,

-10R₂ → R₂

$\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 10 & 8 & 2\end{bmatrix}$

3R₃ → R₃

$\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}$

4 0

3 years ago