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2 years ago

6

Lee is sewing vests using 16 green buttons and 24 blue buttons. all the vests are identical, and all have both green and blue bu

ttons. what are the possible numbers of vests lee can make? what is the greatest number of vests lee can make?

1 answer:

Lapatulllka [165]2 years ago

6 0

Each vest has 3 blue and 2 green. He can make 8 :)

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Jaxson and his children went into a movie theater and he bought $42.50 worth of drinks and candies. Each drink costs $6 and each

sattari [20]

Answer:

6x + 3.25y = 42.50

x + y = 8

Step-by-step explanation:

x is the amount of drinks, and y represents the amount of candies that are bought. The first equation is used to figure out the amount of candies and drinks needed to be bought to add up to 42.50, and the second equation is used to make sure that the quantity of drinks and candies add up to 8.

4 0

2 years ago

troy's truck has a 30 gallon gas tank and gets an average of 21 miles per gallon.write an equation to represent the amount of ga

GuDViN [60]

Let

x---------> represent the number of miles Troy's has driven

y--------> represent the amount of gas in Troy's truck

we know that

the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

$y-y1=m*(x-x1)$

where

m is the slope---------> $\frac{gallon}{miles}$

in this problem the slope is equal to $-\frac{1}{21} \frac{gallons}{miles}$

it's negative because the tank is going to be consumed

assuming he starts with a full tank

$for\ x=0\ y=30\ gal$

substitute in the formula above

$y-y1=m*(x-x1)\\\\ y-30=-\frac{1}{21}*(x-0)\\\\ y=-\frac{x}{21}+30$

therefore

the answer is

the equation $y=-\frac{x}{21}+30$

8 0

2 years ago

Read 2 more answers

In college basketball, some teams get most of their points from just one player, and other teams are more balanced in scoring. C

lutik1710 [3]

Answer:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

Step-by-step explanation:

<u>Baylor University</u>

6 players who each score 12 points per game

6 players who each score 0 points per game.

The Scores are: 0,0,0,0,0,0,12,12,12,12,12,12

$Mean=\frac{0+0+0+0+0+0+12+12+12+12+12+12}{12} \\Mean=6\\Median=\frac{12+0}{2}=6$

<u>University of Maryland</u>

1 player scores 58 points per game,

1 player scores 14 points per game,

The rest(10) of the players score 0 points per game.

The Scores are: 0,0,0,0,0,0,0,0,0,0,14,58

$Mean=\frac{0+0+0+0+0+0+0+0+0+0+14+58}{12} \\Mean=6\\Median=\frac{0+0}{2}=0$

<u> Dartmouth College</u>

4 players score 5 points per game,

4 players score 6 points per game,

4 players score 7 points per game.

The Scores are: 5,5,5,5,6,6,6,6,7,7,7,7

$Mean=\frac{5+5+5+5+6+6+6+6+7+7+7+7}{12} \\Mean=6\\Median=\frac{6+6}{2}=6$

The following applies:

(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.

(D)The mean number of points per player per game is the same at all 3 schools.

7 0

2 years ago

Let C be the closed, piecewise smooth curve formed by traveling in straight lines between the points (-2,1), (-2,-3), (1,-1) , (

Greeley [361]

The given points are the vertices of the quadrilateral

$Q=\left\{(x,y)\mid-2\le x\le1,\dfrac{2x-5}3\le y\le\dfrac{4x+11}3\right\}$

By Green's theorem, the line integral is

$\displaystyle\int_C2xy\,\mathrm dx+xy^2\,\mathrm dy=\iint_Q\frac{\partial(xy^2)}{\partial x}-\frac{\partial(2xy)}{\partial y}\,\mathrm dA$

$=\displaystyle\int_{-2}^1\int_{(2x-5)/3}^{(4x+11)/3}y^2-2x\,\mathrm dy\,\mathrm dx=\boxed{61}$

6 0

2 years ago

What is the value of x in the equation 0.7x – 1.4 = –3.5?

deff fn [24]

0.7x-1.4 =-3.5

add 1.4 to each side

0.7x = -2.1

x = -2.1 / 0.7

x = -3

Answer is B -3

3 0

2 years ago

Read 2 more answers