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vodka [1.7K]
3 years ago
7

Andrea put 2 quart of water and 1/1/2 cups of lemon juice in a pitcher. How many total cups of liquid are in the pitcher

Mathematics
1 answer:
vampirchik [111]3 years ago
4 0
1 quart is 4 cups so 2 cups would be 8 so 8 plus 1 1/2 is 9 1/2 so your answer is 9 1/2
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The area of a room is 600 square feet. The length is (x + 5) feet and the width is (x + 4) feet. Find the dimensions of the room
tangare [24]
I'm going to assume that the room is a rectangle.

The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. 

You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
A = lw\\
600 = (x+5)(x+4)\\
600 =  x^{2} + 9x + 20


Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
600 = x^{2} + 9x + 20\\
x^{2} + 9x - 580 = 0\\
(x + 29)(x - 20) = 0\\
x + 29 = 0, \:\: x - 20 = 0\\
x = -29, x = 20

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.

The dimensions of your room are 25ft (length) by 24ft (width).
8 0
3 years ago
Read 2 more answers
Find the value of x. Show all of your work!
Georgia [21]

Answer:

145⁰

Step-by-step explanation:

180 minus 73⁰ plus 62⁰

which is 180 minus 135

145⁰

7 0
3 years ago
Dexter has four different coins in his pocket. He randomly selects a coin from his pocket, replaces it, and selects another coin
skad [1K]

Answer:

Step-by-step explanation:

So what is the probability of the selecting the first coin? There are total of 4 different coins, so the probability of getting a dime is 1 out of 4, then he replace it, then again the probability stays the same, he still has 1 out 4 chance of getting a dime. So then it's just 1/4*1/4=1/16 :)

4 0
3 years ago
How does 0.008 compare to 0.08
Aleonysh [2.5K]
0.008 would equal to 8/1000 while 0.08 would be 8/10. That would mean 0.008 is much smaller than 8/10. You use the idea of base 10.
8 0
3 years ago
Select the statement that describes this expression: (10 − 3) x 4 + 5.
tankabanditka [31]

Answer:

Multiply 4 by the difference of 10 and 3, then add 5

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2 years ago
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