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2 years ago

Write and solve a system of THREE inequalities that models the situation below.

Mathematics

1 answer:

emmasim [6.3K]2 years ago

6 0

Answer:

x = cupcakes

y = cookies

3x + 1y ≥ 205

x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205

Step-by-step explanation:

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The sun came out and the temperature quickly rose 18 degrees. the a thunderstorm hits and the temperature drops 6 degrees. the s

vodka [1.7K]

By solving a linear equation we will see that the initial temperature was 66 degrees.

<h3>What was the initial temperature?</h3>

Let's define T as the initial temperature.

First, it increases by 18 F, then it decreases 6 F, and finally, it increases another 12 F, such that the end temperature is 94F.

Then we can write:

T + 18F - 6F + 12F = 94F

Now we can solve that linear equation to find T.

T = 94F - 18F + 6F - 12 F = 66 F

In this way, we conclude that the initial temperature was 66 degrees.

If you want to learn more about linear equations:

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2 years ago

A swimming pool and deck are built in a rectangle with length 40 ft and width 18 ft. If the pool itself is 320 square feet, what

stich3 [128]

320x2=640
64u0x18=435
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2 years ago

Manny makes $8.75 an hour working at the video store. His paycheck shows that he worked 37.5 hours over the past week. How much

aleksley [76]

Y=8.75x
So (8.75)(37.5)= 328.125$. All you have to do is multiply his hours by his pay.

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3 years ago

Help pleaseeeeeeeeee

Alex17521 [72]

Answer:

39°
27°
28°

Step-by-step explanation:

$Hypotenuse = 32\\Adjacent = 25\\Angle\:\alpha \:=?\\Using \: SOHCAHTOA ;\\Cos \:\alpha = \frac{adj}{hyp} \\Cos \:\alpha = \frac{25}{32}\\\\\alpha = Cos^-^1\frac{25}{32} \\\alpha =38.62\\\\\alpha = 39$

$Opposite = 8\\Adjacent = 16\\\alpha =?\\Using SOHCAHTOA\\Tan\:\alpha = \frac{opp}{adj} \\Tan\:\alpha = \frac{8}{16} \\Tan \:\alpha =1/2\\\alpha = Tan^-^11/2\\\\\alpha =26.56\\\alpha =27$

$Hypotenuse = 41\\Opposite = 19\\\alpha = ?\\Using\: SOHCAHTOA\\Sin\:\alpha = \frac{opp}{hyp} \\Sin \:\alpha =\frac{19}{41}\\\\\alpha =Sin^-^1 (19/41)\\\\\alpha =27.6\\ \alpha =28$

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3 years ago

Michael has a weekly food budget of $62. If he plans to budget the same amount for each of the 7 days of the week, what is the m

garri49 [273]

Answer:

62/7

Step-by-step explanation:

8 0

3 years ago