A fish tank takes 13.5 minutes to fill at a rate 1.2 litres per minute. How many minutes would

Mathematics

1 answer:

EastWind [94]3 years ago

8 0

Answer:

74.1 minutes is the answer

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3. For the equation-4y = &r, what is the constant of variation? (1 point)<br> ООО<br> 02

alexandr1967 [171]

Answer:

3).

$- 4y = 8x \\ \frac{y}{x} = \frac{8}{ - 4} \\ \frac{y}{x} = - 2 \\ y = - 2x \\ hence \: constant \: is \: - 2$

4).

$y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k = \frac{24}{8} \\ k = 3 \\ value \: of \: constant = 3$

If it was by 10, k = 3 by 10

k = 30

5).

$general \: equation \: of \: line \\ y = mx + c \\ but \: m = \frac{2}{3} \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y = \frac{2}{3} x + 9 \\ alternatively \\ 3y = 2x + 27$

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3 years ago

Latrell bought 4 bags of powdered sugar. He got a total of 5 1/2 cups of sugar. How many cups of sugar were in each bag?

Stels [109]

So all 4 bags of sugar yielded 5 and 1/2 cups..... well.. how many in each one? well, let's split the 5 and 1/2 evenly in 4 pieces.

$\bf \stackrel{mixed}{5}\frac{1}{2}\implies \cfrac{5\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{11}{2}}\\\\
-------------------------------\\\\
\cfrac{\quad\frac{11}{2} \quad }{4}\implies \cfrac{\quad\frac{11}{2} \quad }{\frac{4}{1}}\implies \cfrac{11}{2}\cdot \cfrac{1}{4}\implies \cfrac{11}{8}\implies \stackrel{cups}{1\frac{3}{8}
}$

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3 years ago

Identify the function for this situation.

Brilliant_brown [7]

Last one is your answer

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5 0

4 years ago

Read 2 more answers

What is the slope of the line that passes through the points (7,26) and (12, -39)?

Elena-2011 [213]

The slope (m) = -13.

We can use the slope formula:

m = (y2 - y1) / (x2 - x1)

Let (x1, y1) = (7, 26)
(x2, y2) = (12, -39)

Plug in the values into the formula:

m = (y2 - y1) / (x2 - x1)
m = (-39 - 26) / (12 - 7)

m = -65/5

m = -13

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3 years ago

Can i have help on this pls can you classify 17.3 in as many groups as possible

PIT_PIT [208]

It can go into the group integers, as well as rational numbers.

Hope this helps you! Happy thanksgiving, here's a turkey!

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3 years ago