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Inga [223]
3 years ago
10

The local baseball team won the national championship last year. At the start of the baseball season, shirts signed by the team

members sold for $250. However, three months into the season, the team had a losing record and the shirts were only selling for $75.
Write an equation to represent this situation. Assume that the price of the shirts decreased by the same rate each month.
Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer:

Step-by-step explanation:

Multiplier: -175/3 Decrease: 23⅓ %

Step-by-step explanation: 75 = 250 - 3(d) d = -175/3 Y = 250 - (175/3)m

Where m is the no.

of months Y is the new value

(175/3)/250 × 100 = 70/3 %

Or 23⅓ %  

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(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{11}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}}\implies \cfrac{11+7}{3+3}\implies \cfrac{18}{6}\implies 3

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)}) \\\\\\ y+7=3(x+3)\implies y+7=3x+9\implies y = 3x+2

6 0
2 years ago
39. The equation of a line in standard form is
Harman [31]

Answer:

Let's solve for x.

4x−2y=20

Step 1: Add 2y to both sides.

4x−2y+2y=20+2y

4x=2y+20

Step 2: Divide both sides by 4.

4x/4

=  2y+20/4

x=  1/2y+5

Answer: x=  1/2y+5

6 0
3 years ago
An air freshener starts with 30 grams of fluid, and the amount of fluid decreases by 12% per day. Express the amount of grams of
vampirchik [111]
Q = 30 (0.88)^t 

Hope this helps :)
8 0
3 years ago
Graph the line y=kx+1 if it is known that the point M belongs to it: m(1,3)
Novosadov [1.4K]

Answer:

y = 2x +1

Step-by-step explanation:

y=kx+1

Substitute the point into the equation

3 = k(1) + 1

3 = k+1

Subtract 1 from each side

3-1 = k

2 = k

y = 2x +1

The slope is 2 and the y intercept is 1

3 0
2 years ago
Read 2 more answers
Ashley bought 14 rainbow and balloon stickers for her little sister. The rainbow stickers cost 6 cents apiece and the balloon st
Morgarella [4.7K]

Answer:

Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.

Step-by-step explanation:

Let the number of rainbow sticker be x and number of balloon stickers be y.

Cost a single rainbow sticker= 6 cents

Cost a single balloon sticker= 4 cents

Cost a single x rainbow sticker= 6 cents × x

Cost a single y balloon sticker= 4 cents × y

Total number of stickers bought = 14

x + y =14 ..[1]

Total money spend on stickers = 68 cents

6x cents+4y cents=68 cents

6x+4y=68...[2]

Putting value of from [1] into [2];

x = 14 - y

6(14-y)+ 4y=68

84-6y+4y=68

-2y=-16

y=\frac{-16}{-2}=8

x = 14 -y =14 - 8 = 6

Ashley bought 6 rainbow stickers and 8 balloon stickers for her little sister.

3 0
3 years ago
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