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IRINA_888 [86]
3 years ago
7

3a) The slope of the line parallel to y = -2x + 3 is ___ *

Mathematics
1 answer:
anygoal [31]3 years ago
4 0

Answer:

m = -2

Step-by-step explanation:

because  y = -2x  and y = -2x + 3  are parallel

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The amount of water inside each of these things is proportional to the volume of the tank the tropical fish tank has a volume of
k0ka [10]

Answer:

1920 gallons of water

Step-by-step explanation:

From the question; the amount of water is proportional to volume of the tank

i.e amount of water = volume of the tank

in a tropical fish;

3000 gallons of water = 12.5 m³     ----- Equation (1)

However, in the  measurement of  shark tank, we have

length = 20cm = 0.2 meters

width = 4 meters

Height = 10 meters

How many gallons of water can the shark tank hold?

From the measurement of  shark tank, we can calculate the volume;

The volume of the tank = Length × width × height

Volume of the tank = 0.2 × 4 × 10 = 8 m³

since, the amount of water is proportional to volume of the tank

y ( Gallons of water ) = 8 m³    -------- Equation (2)

Equating equation 1 and 2; we have:

3000 gallons of water = 12.5 m³  

y ( Gallons of water ) = 8 m³    

y ( Gallons of water ) ×  12.5 m³  = 3000 gallons of water × 8 m³  

y ( Gallons of water )  = \frac{3000 gallons of water * 8 m^3  }{12.5m^3}

y ( Gallons of water )  = \frac{24000}{12.5}

y ( Gallons of water )  = 1920 gallons of water

Thus, the shark tank can hold 1920 gallons of water

6 0
4 years ago
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Identify each statement that is both biconditional and true.
Kryger [21]

Answer:

I think it's A and D

5 0
3 years ago
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A STUDENT FINISHES THEIR FISR HALF OF AN EXAM IN 2/3 THE TIME IT TAKES HIM TO FINISH THE SECOND HALF. IF THE ENTIRE EXAM TAKES H
shepuryov [24]

Answer: First half was 24 minutes

Step-by-step explanation:

Let the time taken to finish the second half be y.

Since the student used 2/3 of the second half time to finish the first half, first half = 2/3 × y = 2y/3

The entire exam is an hour which equals 60 minutes

First half + Second half = 60minutes

Note that first half is denoted as 2y/3 and second half is denoted by y.

2y/3 + y = 60

5y/3 = 60

Cross multiply

5y = 60 × 3

5y = 180

y = 180/5

y = 36

Second half took 36 minutes

Since first half is 2y/3, it will be:

(2×36) / 3

= 72/3

= 24minutes

First half took 24 minutes.

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3 years ago
Which method will not work?
katen-ka-za [31]
D because if you multiply y 8 times it will no longer be doubling the area
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Which rotation transformed FGHI to F'G'H'I
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The answer is a 45 degree rotation Clockwise. Hope that helps! :)
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