Suppose 63 gallons of water came out of a pipe in 9 minutes.
What was the rate in gallons per minute?

[tex]\sf \: The \: formula \: for \: finding \: the \: volume \: of \: a \: cube \: is \hookrightarrow \boxed{ \underline{ \bf{E}^{3} }} \\ \\ \sf \: The \: volume \: of \: the \: cube \: can \: be \: found \: by \: \\ \sf \: multiplying \: the \: edge \: length \: three \: times. \: For \: instance, \: \\ \sf \: if \: the \: length \: of \: an \: edge \: of \: a \: cube \: is \: \bf \: 4, \: \sf t he \: volume \\ \sf \: will \: be \longrightarrow \bf{4}^{3}. [/tex]

Step-by-step explanation:

Above are the explanations

A map is drawn on a scale of 1: 240 000.

(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

(i) 1 cm: 240000 cm = 1 cm: 2.4km

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]

[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]

[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]

Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]

[tex]$=21.9 \mathrm{~km}^{2}[/tex]

(ii) 1 cm: 240000 cm = 1 cm: 2400 m

Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]

[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]

[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]

The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].

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Answer:

c

Step-by-step explanation:

Answer:

y = -2x+7

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b  where m is the slope and b is the y intercept

y = -2x +b

Substitute the point into the equation and solve for b

5 = -2(1)+b

5 = -2+b

Add 2 to each side

5+2 = -2+b+2

7=b

y = -2x+7

Answer:

C

Step-by-step explanation:

Answer:

8(3j -2)

4(6j -4)

Step-by-step explanation:

24j - 16

Rewriting

8*3*j - 8*2

Factor out the greatest common factor

8(3j -2)

We can also factor out 4

4*6j - 4*4

4(6j -4)

Answer:

A & C

Step-by-step explanation:

A) 8(3j-2)

= 24j-16

B) 6(4j-2j)

= 24j -12 j (not equal)

C) 4 (6j-4)

24j -16

D) 2(12-8)

24-16 (not equal)

Therefore only A and C are equivalent to 24j-16

Answered by Gauthmath

x = -29/7

Step-by-step explanation:

A(x) = (x^2 + 5x + 6)(x + 5) - (x^2 + 3x - 4)(x + 7)

= (x^3 + 10x^2 + 31x + 30) - (x^3 + 10x^2 + 17x - 28) = 14x + 58

A(x) = 0 => 14x + 58 =0 => x = -58/14 = -29/7

Answer:

778744

Step-by-step explanation:

387t98878989890

Answer:

[tex] \displaystyle D) {x}^{5} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following Integral:

[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]

well, to get the constant we can consider the following Integration rule:

[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]

therefore,

[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]

recall exponent integration rule:

[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]

so let,

Thus integrate:

[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]

simplify addition:

[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]

reduce fraction:

[tex] \displaystyle = {x}^{5} [/tex]

finally we of course have to add the constant of integration:

[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]

hence,

our answer is D)

Answer:

Choice A. [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Turn the mixed numbers into improper fractions:

Flip the second term and multiply:

Simplify:

Answer:

A

Step-by-step explanation:

Answer:

i would say 7

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

k = 2

Step-by-step explanation:

f(x) and g(x) = f(x) + k

G(x) is the function f(x) moved up k units

G(x) is moved up 2 units so k is 2

Answer:

The answer is k = 2. The value of k is 2.

Step-by-step explanation:

I hope this answers your question :) Have a great day :)

Answer:

A.  3 (1,2,3,4,5) B 60%

Step-by-step explanation:

Answer:

a) {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T} b) 1H,3H,5H,1T,3T,5T

Step-by-step explanation:

a)

sample space is basically all possible outcomes in a list so {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T}

b)

favorable outcomes of choosing an odd number are the outcomes with odd numbers so 1H,3H,5H,1T,3T,5T

Answer: $4.5/hour

Step-by-step explanation:

Total earned in 6 hours subtracted tips equals wage over 6 hours.

Divide by 6 hours to find individual hourly wage.

Answer: $4.50 per hour

Step-by-step explanation:

First, find how much she earned, excluding the tips.

73-46= 27

She earned $27 in the 6 hours, without tips

To find her hourly wage, you divide 27 by six because, since she worked 6 hours to earn $27, we need to find the unit rate.

27/6 = 4 dollars 50 cents.

Answer:

803.78

Step-by-step explanation:

983.45-214.67=768.78

768.78-15=753.78

753.78+50=803.78

answer is 803.78

Answer:

$803.78

Step-by-step explanation:

You would subtract the car loan(214.67) from 983.45. then subtract another 15 since he is giving it away. You then add the $50 because you deposited it meaning you are getting money back into your acount.

Answer:

Slope m = -5

y intercept = 4

so the equation of the line is,

y = -5x+4

Plot two points, (0,4) and (1,-1)

then connect them, I've attached a graph, your graph should look like that

Answered by GAUTHMATH

Answer:

y=-5x+4

Step-by-step explanation:

y=mx+b

the slope is m

the y intercept is b

-5/1= one right and down 5

4 is the starting point on the y-axis (the vertical one)

Answer:

Generally, the higher the temperature, the larger the population.

Step-by-step explanation:

The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.

y=X equation is a direct variation function.

Answer:

456ft

Step-by-step explanation:

Answer:

402.75

Step-by-step explanation:

554.75-152 = 402.75

Answer:

48 Chocolates

Step-by-step explanation:

Monday: 48

Tuesday: 24

Wednesday: 12

Thursday: 6

Friday: 3

Answer:

2x + 12

Step-by-step explanation:

Example of Associative Property Addition:

a + (b+c) = b + (a+c)

Now, implement it to the given expression:

(2x+8) + 4 = 2x + (8+4)

That simplifies to:

2x + 12

Answer:

(2x+12)

Step-by-step explanation:

We can re-write (2x+8)+4 using the associative property of addition. The associative property states that you can move around the parenthesis in an addition problem.

We can write (2x+8)+4 as 2x+(8+4).

2x+(8+4) = 2x+12.

Answer:

x = 1.4 or -1.4

Step-by-step explanation:

→ Substitute y = 4 into y = x² + 2

4 = x² + 2

→ Minus 2 from both sides

2 = x²

→ Square root both sides

√2 = x

→ Simplify

x = 1.4 or -1.4

Answer:

61.973

Step-by-step explanation:

let the unknow side be x

surf of prism = 2*(8*8+8x+8x) = 2*(64+16x) = 128+ 32x

again, surface of cylinder = 2pi*r*(r+h) = 2 * pi * 14 * (14+10) = 672pi

now solve for x, when

128+32x = 672pi

Answer:

Graph C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D is the answer I did the math.

Hope this helps!

Answer:

d

Step-by-step explanation:

Answer:

C = 15m

Step-by-step explanation:

Since the almonds are $15 per kg, the cost can be represented by 15m, where m is the number of kg.

To create the equation, set this equal to C, the cost in dollars:

C = 15m

So, the equation is C = 15m

Here is an equation to represent the relationship between the cost, C, in dollars, and the mass, m, in kg of almonds sold at a rate of $15 per kg at a local store: C = 15m

The mass of the almonds closely relates to how much they cost. This implies that the price of almonds will rise along with the mass of the nuts. Since the proportionality constant is $15, the price will be $15 for every kilogram of almonds.

Let's use an illustration to try to comprehend this. A 2 kg purchase of almonds will cost $30. Since 2 x 15 = 30, this is the case.

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Answer:

nah it's illegal in cali to eat raw oranges in the bathtub, but im not sure if that's a real law

so i guess if ur on the toilet or smth you can eat it...but like why would you? like in the bathroom?

Answer:

No, it's not.

Step-by-step explanation:

It's not even a real law. People used to think that the citric acid coming from the orange would mix with bath oils and create an explosion. As it turns out, citric acid, obviously, does not cause any explosions when mixed with bath oils. It's just gossip.

Answer:

150 = x

Step-by-step explanation:

We can use a ratio to solve

100 batches          x batches

------------------- = ---------------------

8 hours                12 hours

Using cross products

100 * 12 = 8x

1200 = 8x

Divide by 8

1200/8 = 8x/8

150 = x

Answer:

150

Step-by-step explanation:

Find how many batches in one hour

100/8 = 12.5

Multiply 12 hours with 12.5 batches

12 x 12.5 = 150

So, in 12 hours 150 batches are made.