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nydimaria [60]
2 years ago
12

A swimming pool that holds 1200 gallons of water can be completely drained by a two pumps. The first pump is small and can only

remove 300 gallons from the pool. If the second pump is used and it removes 20 gallons every minute, how many minutes will it take to completely drain the pool?​
Mathematics
1 answer:
sp2606 [1]2 years ago
6 0

Answer: 45 minutes

Step-by-step explanation:

the first pump takes care of 300 gallons so we need to worry about the remaining 900 gallons. the second pump removes 20 gallons per minute so all u have to do to find how many minutes it would take is divide 900 gallons by 20 gallons a minute which gives you 45

it will take 45 minutes to completely drain the pool

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Solve the equation 4*e+2=1 (mod5)
otez555 [7]

Here's a way to do it.

Let 4e +2 = 5n +1 . . . . . . for some integer n

Then e = (5n -1)/4 = n + (n -1)/4

We want (n-1)/4 to be an integer, so let it be integer m.

... m = (n -1)/4

... 4m = n -1

... 4m +1 = n

Substituting this into our expression for e gives

... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1

e = 5m+1 for any integer m

4 0
3 years ago
The circumference of a circle is 6 inches. What is the area of the circle?
Lubov Fominskaja [6]

Answer:

(B) 9π in²

Step-by-step explanation:

I’m going to assume that by 6 inches you meant 6π inches.

If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is 2\pi r).

6\div2=3

So the radius is 3.

Now that we know the radius, we can find the area by using the equation \pi r^2.

\pi 3^2\\\pi9\\9\pi

Hope this helped!

3 0
3 years ago
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Solve. t - (- 10) = 9
Gekata [30.6K]
T - ( - 10) = 9
t + 10 = 9
t = 9 - 10
t = -1

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Answer: t = -1
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5 0
3 years ago
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Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14
svet-max [94.6K]
Gallon of milk: $3.49
3lbs oranges: $1.14(3) = $3.42
Box of cereal: $3.46

Front end estimation is taking the number in front and the rest of the numbers coming after it will be zeroes.

Using front end estimation:
$3.49 => $3.00
$3.42 => $3.00
$3.46 => $3.00

Add all these up; Shen estimated the total cost of the groceries would be $9.00.
5 0
3 years ago
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50 BIG POINTS! Help me on math please!  @ Apologiabiology, @ Bookishfairy73
nekit [7.7K]
Rate of change is also knkown as slope which is found by
\frac{y2-y1}{x2-x1}=slope if you know 2 points/ordered pairs
aos, if x incheases while y decreases then slope is negative
when x increases while y increases then slpe if positive
also, if you can convert to y=mx+b, m=slope
another thing if you have ax+by=c then slope=-a/b

so first one
2x-5y=15
a=2
b=-5
-2/-5=2/5
slope=2/5
positive

next
y=-4x
-4 =slope=negative


x increases while y decreases
negative

x increases while y decreases
negative


so
Positive
Negative
Negative
Negative





A. 6x-3y=12
sloope=-6/-3=2

B. y=5x+b
slope=5

C. (8-2)/(3-1)=6/2=3
sloope=3

D. goes up 4 units and goes right 1 unit, 4/1=4
sloope=4


5 is greates
B is the answer









A. (6-3)/(4-3)=3/1=3
slope=3

B. y=4+6x
slope=6


C.12x+6y=18
slope=-12/6=-2

D. goes down 5 units as it goest 1 uniit to right aka -5./1
slope=-5


greatest is 6
B is answer











the starting value I would guess si when x=1 what is the greats y value

look at each
first one
A. x=1 and =-3

B.y=3x-8
y=3(1)-8
y=3-8
y=-5

C. 8x+4y=16
8(1)+4y=16
8+4y=16
4y=8
y=2

D. at 1 unit to right it is 1 nit up so y=1


greatest is  2 or C





so just subsitute 1 for x since x represents how many teaspoons
y=16(1)560
y=16+560
y=576 caloris for 1 sugar teaspoon

for honey, just read off the graph
for when x=1
y=504

so calores of sugar=576
calories in honey=504






ANSWERS

Postive
Negative
Negative
Negative

B

B

C

sugar=576
honey=504
4 0
3 years ago
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