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ikadub [295]
1 year ago
14

Quick algebra 1 question for 10 points!

Mathematics
1 answer:
bazaltina [42]1 year ago
4 0

denote \: by \: s \: the \: cost \: of \: a \: sweatshirt \\ denote \: by \: t \: the \: cost \: of \: a \: t \: shirt

3t + 7s = 240.5 \\ 6t + 5s = 220

- 6t - 14s =  - 481 \\ 6t + 5s = 220

- 9s = -  261 \\ s =  \frac{ - 261}{ - 9}  = 29 \: dollars

3t + 7(29) = 240.5 \\

3t + 203 = 240.5

3t = 37.5

t = 12.5 dollars

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How many solutions are there for the system x^2+4y^2=100 and 4y-x^2=-20
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There are 5 solutions for this system.

x^2 + 4y^2 = 100  ____1
4y - x^2 = -20  ____2
Add both 1 & 2 together. x^2 gets cancelled
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Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y :  y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2    x = /100 - 4y^2  (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
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Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
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3 years ago
Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below: Two rectangular tiles, rect
Rudiy27
Since there is no picture shown, I just plotted the given data points myself. That is shown in the attached picture. The blue rectangle is rectangle PQRS while the orange one is rectangle JKLM. I believe there are some choices for this question but you forgot to include. Nevertheless, I will give my observations from the given figure. 

The tile PQRS is bigger than tile JKLM. A rectangle is a two-dimensional shape that has two sets of equal parallel planes. Thus, its area is equal to the length multiplied by its width.

tile PQRS = (9-5)*(12-7) = 20 units²
tile JKLM = (6-4)*(10-5) = 10 units²

Tile PQRS is larger by 10 units².


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Step-by-step explanation:

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