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3 years ago

Two pools are being filled with water. To start, the first pool contains 2200

Mathematics

1 answer:

Lynna [10]3 years ago

5 0

2200 + 21.25X = 1840 +32.50X

subtract 1840 from each side

360+ 21.25X= 32.50X

subtract 21.25x from each side

360=11.25X

x= 360/11.25 = 32 minutes pool will have the same amount

21.25*32 = 680+2200 = 2880 liters

32.5*32 = 1040 + 1840=2880 liters

it will take 32 minutes and they will have 2880 liters each

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Pls help I dont know how to do this

german

Answer:

1. CE = 63
2. x = 16

Step-by-step explanation:

Use proportions to solve.

Corresponding sides have same ratio.

Question 1

DE/EG = CE/EF

(6x + 3)/17 = (8x - 1)/21
21(6x + 3) = 17(8x - 1)
126x + 63 = 136x - 17
10x = 80
x = 8

CE = 8*8 - 1
CE = 63

Question 2

KM/MD = KZ/ZH

(x + 8)/21 = 32/28
x + 8 = 21*8/7
x + 8 = 24
x = 24 - 8
x = 16

5 0

2 years ago

NEED HELP ASAP

Viefleur [7K]

Answer:

2625 cubic meters

Step-by-step explanation:

the volume of a rectangle is V = length x width x height (depth in this case)

so, 50m x 30m x 1.75m = 2625m^3

7 0

2 years ago

Read 2 more answers

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

3 0

2 years ago

A rectangle on a coordinate plane has vertices Q(-1,1), R(6, 1), S(6-8), and T(-1,-8). What are the dimensions of the

slavikrds [6]

Answer:

the base length of the triangle is 4 units, u can count that. and the height of triangle is 2 units, thats the dotted line one. and the equation of triangle area is (length x height) divided by 2so in this case it'll be (4x2) /2=4 square units.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Darren wins a coupon for $4 off the lunch special for each of five days he pays $75 for his 5 lunch specials write and solve an

Valentin [98]

The original price for one lunch special is $19.

Explanation

The original price for one lunch special is 'p' dollar.

He wins a coupon for $4 off for each of five days. That means , he needs to pay $(p-4)$ dollar each day.