Mathematics, 02.09.2019 16:30 annabellthedivp3u9ve

Latex-free gloves can be purchased in a box of 100 for $44.95 or a box of 50 for $23.50.

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Answer from: travyse

The unit rate in a box of 100 latex-free gloves is less than the unit rate in a box of latex-free gloves

Step-by-step explanation:

Step 1

Find the unit rate in a box of 100 latex-free gloves

To find the unit rate divide the total cost by the number of gloves

$\frac{44.95}{100}=0.45\frac{\$}{glove}$

Step 2

Find the unit rate in a box of latex-free gloves

To find the unit rate divide the total cost by the number of gloves

$\frac{23.50}{50}=0.47\frac{\$}{glove}$

The unit rate in a box of 100 latex-free gloves is less than the unit rate in a box of latex-free gloves

Answer from: Quest

mr. flanders’ class sold 47 doughnuts and mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

$\left\{\begin{array}{l}x+y=85\\1.35x+1.08y=104.49\end{array}\right.\rightarrow \left\{\begin{array}{l}x=85-y\\1.35(85-y)+1.08y=104.49\end{array}\right.$

$114.75-1.35y+1.08y=104.49,\\ \\114.75-104.49=1.35y-1.08y,\\ \\10.26=0.27y,\\ \\y=38,\\ \\x=85-38=47.$

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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Latex-free gloves can be purchased in a box of 100 for $44.95 or a box of 50 for $23.50....

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