One pump can drain a pool in 8 minutes. when a second pump is also used, the pool only takes 4 minutes to drain. how long would it take the second pump to drain the pool if it were the only pump in use

Answer:

Hey there!

6 hrs 45 mins =  405 mins, or 6.75 hours.

Hope this helps :)

Answer:

sdgsdgsdgsdgsdgsd

Step-by-step explanation:

gsdgsdgsdgsdgsd

Answer:

D

Step-by-step explanation:

Answer:

C

Please give brainliest, I explained in the comments

Step-by-step explanation:

Answer:

Step-by-step explanation:

A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option.

Answer: For the first option which is leasing, it is described by the equation:

250x - y + 4000 = 0

The general equation of a line is y = mx + c, where m is the slope of the line and c is the intercept on the y axis.

Since 250x - y + 4000 = 0, we need to make it in the form of the general equation by making y the subject of the formula.

Therefore:

y = 250x + 4000

This means that the slope is 250 and the y intercept is 4000. That is at 0 months, the amount paid for the car is $4000 for the first option. As the value of the months increase by 1, the amount paid for the car increase by 250

The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). To get the equation of the line, we use the formula:

[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\ Substituting:\\\frac{y-400}{x-0}=\frac{4400-400}{10-0}\\\frac{y-400}{x} = 400\\y=400x+400[/tex]

The second option has a slope of 400 and an intercept of 400. At 0 months, $400 is paid for ownership. As the value of the months increase by 1, the amount paid for the car increase by 400

Hi,

it'took 70 minutes to empty the pool.  

After 20 it's stay 45 000 litres.   So in 50 minutes, 45 000 litres are gone.  

So  :    45 000 / 50 =  4500/5 = 9*5 *100 /5 = 900

900 litres is off  every minute.

So the  pool contained  :  900 *70 =  63 000 litres  in the beginning.

Answer:

(2xy +x+y)(3xy² -y)

= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²

(xy+3x+2)(xy-9)

= X²y² -7xy+3x²y -27x-18

(x²+3xy-2)(xy+3)

= X³y + 3x² + 3x²y² +7xy -6

Step-by-step explanation:

For (xy+9y+2) and (xy-3)

(xy+9y+2) (xy-3)

= x²y² -3xy +9xy² -27y + 2xy -6

= x²y² -xy +9xy² -27y -6

For (2xy +x+y)(3xy² -y)

= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²

For (x-y)(x+3y)

= X² + 3xy -xy -3y²

= X² +2xy -3y²

For (xy+3x+2)(xy-9)

= X²y² -9xy +3x²y -27x+2xy -18

= X²y² -7xy+3x²y -27x-18

For (x²+3xy-2)(xy+3)

= X³y + 3x² + 3x²y² +9xy -2xy -6

= X³y + 3x² + 3x²y² +7xy -6

Answer:

[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]

Step-by-step explanation:

The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:

[tex]y - k = C\cdot (x-h)^{2}[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex with respect to origin, dimensionless.

[tex]C[/tex] - Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).

Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:

[tex]C = 1[/tex]

After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:

[tex]V(x,y) = (-3,-2)[/tex]

The standard form of the blue parabola is [tex]y+2 = (x+3)^{2}[/tex]. Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):

[tex]y + 2 = x^{2} +6\cdot x + 9[/tex]

[tex]y = x^{2} + 6\cdot x + 7[/tex]

Then, the blue parabola is represented by the following equations:

[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]

Answer:

The answer is given below

Step-by-step explanation:

The mean (μ) = 21.2 minutes and the standard deviation σ = 3.5 minutes.

the​ oil-change facility will perform 45 oil changes between 10 A.M. and 12 P.M, therefore the sample size n = 45

there be a​ 10% chance of being at or​ below. From the normal distribution table, The z score corresponding to a probability of 10% (= 0.1)  is -1.28.

z = -1.28

To calculate the mean​ oil-change time, we use the formula:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }\\\\ Substituting \ values:\\-1.28=\frac{x-21.2}{\frac{3.5}{\sqrt{45} } }\\\\x-21.2=-0.6678\\\\x=-0/6678+21.2\\\\x=20.5[/tex]

Answer:

x^2 -2x+1

Step-by-step explanation:

(x - 1 )(x - 1)

FOIL

first: x*x = x^2

Outer: -1x

inner: -1x

Last: -1*-1 = 1

Add these together

x^2 -1x-1x+1

x^2 -2x+1

Answer:

x² - 2x +1

Step-by-step explanation:

(x - 1) (x - 1)

x(x - 1) - 1(x - 1)

x² - x - x + 1

x² -2x + 1

Answer:

We have;

Hours (h),                            Total cost C

1,                                           5*1 + 10 =  $15

2,                                          5*2 + 10 = $20

3,                                          5*3 + 10 =  $25

4,                                          5*4 + 10 =  $30

5,                                          5*5 + 10 =  $35

Step-by-step explanation:

The given parameters are;

Kevin's fixed charge for lawn cutting = $10

Kevin's charge for lawn cutting per hour = $5

The total cost, C, for cutting lawn cutting by Kevin is C = 5h + 10

Answer:

m<C = 45

m<D = 30

Step-by-step explanation:

m<A + m<B + m<C = 180

45 + 90 + m<C = 180

m<C = 45

m<E + m<A = 60

60 + 90 + m<D = 180

m<D = 30

Answer:

80% (see below)

Step-by-step explanation:

24:30

24 ÷ 30 = 0.8

0.8 = 80%

Hope this helped! :)

Answer:

80%

Step-by-step explanation:

Step 1: Find the fraction she got correct

24/30 = 4/5

Step 2: Find the decimal

4/5 = 0.8

Step 3: Convert to percentage by multiplying by 100

0.8(100) = 80%

Answer:

x=12cm

Step-by-step explanation:

PA ×PB=PT^2

4×(4+x)=(8)^2

16+4x=64

4x=64-16

4x=48

x=12cm

Answer:

x =12

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(4+x) * 4 = 8^2

Distribute

16+4x = 64

Subtract 16 from each side

4x = 48

Divide each side by 4

4x/4 = 48/4

x = 12

Answer:

A = 9p² - 25

Step-by-step explanation:

The side lengths were 3p.  5 was added to the length and subtracted from the width.  This means that

l = 3p + 5

w = 3p - 5

Plug these values into the formula for the area of a rectangle.

A = lw

A = (3p + 5)(3p - 5)

A = 9p² - 25

The area of the rectangle is 9p² - 25.

Answer:

Fasle

Step-by-step explanation:

81 1/4s would be 81/4 which would be 20 and 1/4

Answer:

x=7

Step-by-step explanation:

If BD is the bisector, then  ABD = DBC

3x-1 = 34-2x

Add 2x to each side

3x-1+2x = 34-2x+2x

5x-1 =34

Add 1 to each side

5x-1+1 = 34+1

5x= 35

Divide by 5

5x/5 = 35/5

x = 7

Answer:

Let's do this step by step

Since there are 72 apples, the pears are 3 times as much. So multiply by 3

[tex]72 * 3=216[/tex]

So there would be 216 pears.

Now for Kiwis

They are 2 times as much, Multiply by 2

[tex]72 *2=144[/tex]

All together with the kiwi and the pears are

[tex]216+144=360[/tex]

And all the fruits together it would be

432

Hope this helps

Answer by

Fishylikeswater

The number of pears, apples and kiwis Peggy has is 216, 72 and 144 respectively.

Number of apples = 72 apples

Number of kiwis = 2 × 72

= 144 kiwis

Number of pears = 72 × 3

= 216 pears

Therefore, Peggy has 144 kiwis

Read more on Algebra:

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This question is not that clear, so let me rewrite it here -

Eva sees a dolphin 3.2 meters below sea level and a bird [tex]47/10[/tex] meters above sea level. Which of the expressions represents the vertical distance between the dolphin and the bird?

Now we are given that Eva sees the dolphin at a distance 3.2 meters below sea level, respectively she sees a bird at [tex]47/10[/tex] meters above sea level. The vertical distance between the dolphin and the bird should thus be the distance dolphin is below sea level + distance of bird above sea level -

[tex]y = 3.2 + 47 / 10,\\y = 3.2 + 4.7,\\y = 7.9 meters\\-------------\\Solution = 7.9 ( meters )[/tex]

The expression that represents the vertical distance between the dolphin and bird should be 3.2 + 47 / 10.

Answer:

x - intercept -> Jan threw the javelin to a distance of 90 meters

relative maximum or minimum -> the highest point the javelin reached was 14 meters above the ground

increasing or decreasing interval -> Jan threw the javelin a distance of 90 meters

Step-by-step explanation:

x - intercept is where y = 0. Check where y is 0. At x = 90. Meaning it's Jan threw the javelin to a distance of 90 meters

relative maximum or minimum -> there is only a maximum on the graph, look at how the points never go down and back up, but rather up then down.

increasing or decreasing interval is basically just the interval or the x values and they go to 90 so..

Answer:

Tan(x) = 1/[tex]\sqrt{3}[/tex]

We know that Tan 30 = 1/[tex]\sqrt{3}[/tex]

Therefore, x = 30 degrees

Answer:

  60 square units

Step-by-step explanation:

We can bound the trapezoid with a rectangle having opposite corners at (4, 6) and (16, 16). This rectangle will have an area of (16 -4)(16 -6) = 120 square units.

From this bounding rectangle we can subtract the areas of the corner triangles. Their x-y extents (CW from upper left) are ...

  (10×6), (2×6), (6×4), (6×4)

Their areas are half the product of these base×height dimensions, so the triangles have a total area of ...

  (1/2)(60 +12 +24 +24) = 60

Then the area of the trapezoid is the difference of the area of the bounding rectangle and the area of the corner triangles:

  trapezoid area = 120 -60 = 60 . . . . square units

Answer:

10 sandwiches

Step-by-step explanation:

first, write an equation to model the problem.

if x is the number of sandwiches and y is the number of soups, you can write:

7.75x + 4.5y = 113.5

in addition, to figure out the number of lunches, you can write:

x + y = 18

finally, plug both equations into desmos and see which point makes both equations true.

the point is (10, 8)

this means they ordered 10 sandwiches and 8 soups

if this helped, please mark brainliest :)

Answer:

The slope shows how much money the car decreases by each year. (Every year after the car was first purchased the value of it goes down by $2,000) The y-intercept tells what the starting price of the car was. ( they bought it for $25,000)

Step-by-step explanation:

Algebra

y=mx+b

Answer:

D. 24

Step-by-step explanation:

Let's name the diagram

Row 1: a1, a2, a3

Row 2: b1, b2, b3

Row 3: c1, c2, c3

From the diagram,

b2 and c2 have been given

All rows, columns and diagonal must sum up to 18

If b2=6 and c2=4

a2=18-(6+4)

=18-10

=8

a2=8

Assume a1=4

Diagonals a1+b3+c3=18

4+6+c3=18

10+c3=18

c3=18-10

=8

Assume a3=6

Diagonals a3+b2+c1=18

6+6+c1=18

12+c1=18

c1=18-12

=6

So b1=18-(6+4)

=18-10

=8

b1=8

b3=18-(6+8)

=18-14

=4

b3=4

Input all the numbers into the boxes

We have,

4 8 6

8 6 4

6 4 8

Corner numbers are a1,a3,c1,c3

=4,6,6,8

Sum of all the corner numbers=4+6+6+8

=24

D. 24

Answer:

We can find the highest common factor of a number by listing down all the factors of that number. The greatest factor from that list is the highest common factor.

How to find HCF of two numbers

We can find the HCF of any numbers using three methods -:

[tex] \small \underline {\underline{\bf Common \: Factor \: Method }}[/tex]

[tex] \small \orange{\bf{ Step \: 1 :}}[/tex]

[tex] \small \blue{\bf{ Step \: 2 :}}[/tex]

[tex] \small \purple{\bf{ Step \: 3 :}}[/tex]

[tex] \small \underline{\underline{\bf{ Prime \: Factorisation }}}[/tex]

[tex] \small \orange{\bf{ Step \: 1 :}}[/tex]

[tex] \small \blue{\bf{ Step \: 2 :}}[/tex]

[tex] \small \purple{\bf{ Step \: 3 :}}[/tex]

[tex] \small \underline{ \underline{\bf{ Division \: Method}}}[/tex]

[tex] \small \orange{\bf{ Step \: 1 :}}[/tex]

[tex] \small \blue{\bf{ Step \: 2 :}}[/tex]

[tex] \small \purple{\bf{ Step \: 3 :}}[/tex]

[tex] \rule{91mm}{3pt}[/tex]

Answer:

B.

Step-by-step explanation:

First, you never want to give out your banking information to anyone, so D is incorrect. A is incorrect because a debit card withdraws money from your checking account to pay for items you purchase. C is also incorrect because you can only spend the same amount of money in your checking account.

Answer:

12.5%

Step-by-step explanation:

Percent decrease is calculated as

[tex]\frac{decrease}{original}[/tex] × 100%

Decrease = $400 - $350 = $50 , thus

percent decrease = [tex]\frac{50}{400}[/tex] × 100% = [tex]\frac{50(100)}{400}[/tex] = 12.5%

The percent decrease on a DVD recorder that is 12.5%. The correct option is 3

A percentage is a minimum number or ratio that is measured by a fraction of 100.

let the value of which a thing is represented in percentage is "a'

let the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), therefore we will first divide the whole part in 100 parts and then we multiply it with b so that we can get b items per 100 items(that is exactly what b per cent means).

Hence, that thing in number is

(a/100)x b

Percent decrease is calculated as;

Decreased in price/original price × 100%

Decrease = $400 - $350 = $50 , thus

Therefore, percent decrease = 50/400 × 100%  

= 12.5%

Learn more about percentages;

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Answer:  D) 339 sq. units

Step-by-step explanation:

see attachment