Pump 1 can empty a pool in 9 hours while Pump 2 can empty the same pool in 12 hours. If the two pumps worked together, how long would it take them to empty the pool?

about 5 hours and 30 minutes
about 5 hours and 10 minutes
about 5 hours and 20 minutes
about 5 hours

Answer:

D. -20

Step-by-step explanation:

[tex]\frac{u}{5} +6=2[/tex]

[tex]\frac{u}{5} =-4[/tex]

[tex]u=-4(5)[/tex]

[tex]u=-20[/tex]

Hope this helps!

Answer:

D.

Step-by-step explanation:

u / 5 + 6 = 2

-20 / 5 + 6 = 2

-4 + 6 = 2

2 = 2

Answer:

27°

Step-by-step explanation:

Answer:

∠OAC = 27°

Step-by-step explanation:

The radius of the circle is perpendicular to the tangent line.

Therefore, ∠ACO = 90°

The interior angles of a triangle sum to 180°

⇒ ∠OAC + ∠ACO ∠ COA = 180°

⇒ ∠OAC + 90° + 63° = 180°

⇒ ∠OAC + 153° = 180°

⇒ ∠OAC = 180° - 153°

⇒ ∠OAC = 27°

Answer:

240m2 (square metre)

Step-by-step explanation:

Just too smart.

Answer:

6

Hope This Helps! :)

Answer:

108.8yd²

Step-by-step explanation:

Area of a Side Angle Side triangle : Area = 1/2 ( a × b ) × sin(c)

where a and b = the side lengths and c = the angle

Here the given side lengths are 23yds and 9.5yds and the angle given has a measure of 85° so a = 23, b = 9.5 and c = 85

Area = = 1/2 ( a × b ) × sin(c)

a = 23 , b = 9.5 and c = 85

Area = 1/2 ( 23 × 9.5 ) × sin(85)

==> multiply 23 and 9.5

Area = 1/2 ( 218.5 ) × sin(85)

==> multiply 1/2 and 218.5

Area = 109.25 × sin(85)

==> multiply sin(85) and 109.25

Area = 108.8yd²

Note: When the triangle is not a right triangle ( when there is no 90° angle ) we have to use a special formula in order to find the area. Here this is given a side an angle and a side, when given a side an angle and another side you can solve using the formula Area = 1/2 ( a × b ) × sin(c)

Answer:

$323.65

Hope this helps :D

It will charge $323.63 in prepaid interest on a $500,000 loan.

Prepaid interest charges are charges due at closing for any daily interest that accrues on your loan between the date you close on your mortgage loan and the period covered by your first monthly mortgage payment.

Given that, a $500,000 loan with an APR of 4.725% we need to calculate the prepaid interest on it,

The prepaid interest is calculated by :-

First, you will take your annual interest rate of 4.725% and divide it by 365 to calculate your daily rate = 4.725% / 365

After you have your daily rate, multiply it by your loan amount to calculate your daily loan interest amount = 0.013% × $500,000 = $64.72

Next, you will need to multiply the number of days between your closing and first payment by your daily interest charge = $64.72 × 5 = 323.63

Hence, it will charge $323.63 in prepaid interest on a $500,000 loan.

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The annuity of the monthly deposit into an account that pays 1.5% interest, compounded monthly, for 35 years is $333.71

An annuity is a series of payments made at equal period of time.

future value = annuity x [(1 + i)ⁿ - 1] / i

annuity = $125.30

i = 1.5% / 12 = 0.00125

n = 35 years x 12 months = 420

future value = $125.30 x [(1 + 0.00125)⁴²⁰ - 1] / 0.00125

future value = $69,156.049 ≈ $69,156.05

annuity = [i x (present value)] / [1 - (1 + i)⁻ⁿ]

i = 1.5% / 12 = 0.00125

n = 20 years x 12 months = 240

present value = $69,156.05

annuity = (0.00125 x $69,156.05) / [1 - (1 + 0.00125)⁻²⁴⁰]

annuity = $86.45 / 0.25904

= $333.71

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Answer:

5

Step-by-step explanation:

[tex]\frac{2}{3} +\frac{1}{6}= \frac{ }{6} \\[/tex]

Here LCM will be 6. (We made the denominator same)

so, now the equation will be :

[tex]\frac{2}{3}+\frac{1}{6} \\\\ =\frac{4}{6} + \frac{1}{6}[/tex]

= 5/6

So, the value in the red box is 5.

Hope it helps!

Answer:

The answer should be: -2, 0, -8, -18

Answer:

1. 73.12, 2. 94.25, 3. 96, 4. 54, 5. 62.28, 6. 90.48

this is kinda rushed so you might want to check my answers

Step-by-step explanation:

1. find the area of the rectangle and semi circle seperately then add

4*12 = 48, (8/2)^2 *pi /2 = 8pi = 25.12

48+25.12 = 73.12

2. find the area of the triangle and semicircle then add

11*10/2 = 55, (10/2)^2 * pi / 2 = 39.25

55+39.25 = 94.25

3. split the shape into a trangle and a square

12*(2+6+2)/2 = 60, 6*6 = 36

36+60 = 96

4. split into 2 rectangles

10*3 = 30, 6*4 = 24

30+24=54

5. find area of rectangle and subtract area of semicircle

4*14 = 56, (4/2)^2 * pi /2 = 6.28

56+6.28 = 62.28

6. area of circle minus area of rectangle

(16/2)^2 * pi /2 = 100.48, 2*5 = 10,

100.48-10= 90.48

Answer:

Step-by-step explanation:

Sum: addition

Difference: subtraction

Product: multiplication

Number                    Sum                    Difference                    Product

1, 4                         1 + 4 = 5                     4 - 1 = 3                       1 * 4 = 4

2, 8                       2 + 8 = 10                   8 - 2 = 6                      2 * 8 = 16

Hope this helps!

Answer:

Probability of choosing a person studying both languages is 1/3

Step-by-step explanation:

Answer:

$27.17

Step-by-step explanation:

Regular price of necklace = $44

If a discount of 35% is applied, then the new price of the necklace will be 65% of the regular price, as 100% - 35% = 65%

⇒ 65% of $44

= 0.65 × $44

= $28.60

If a second discount of 5% is then applied, the final price of the necklace will be 95% of the sale price, as 100% - 5% = 95%

⇒ 95% of $28.60

= 0.95 × $28.60

= $27.17

Therefore:

The sale price with a 35% discount is $28.60

The sale price with an additional 5% discount is $27.17

[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]

Given :-

The regular price of necklace = $44

Discount on necklace = 35%

Additional save from necklace = 5%

Solution :-

First we have to found the prize of necklace that Amantha had bought at 35% discount

To find this, there is a formula

[tex]new \: price = real \: price - (discount \: percentage \times real \: price) [/tex]

Now we will put our value in this formula

[tex] = 44 - ( \frac{35}{100} \times 44) \\ = 44 - ( \frac{7}{20} \times 44) \\ = 44 - ( \frac{7}{10} \times 22) \\ = 44 - \frac{154}{10} \\ = 44 - 15.4 \\ = 28.6 \:[/tex]

Now will deduct the additional discount from this price by using same formula

[tex] = 28.6 - ( \frac{5}{100} \times 28.6) \\ = 28.6 - ( \frac{1}{20} \times \frac{286}{10} ) \\ = 28.6 - ( \frac{1}{10} \times \frac{143}{10} ) \\ = 28.6 - 1.43 \\ = 27.17[/tex]

Result :-

She spend $27.17 on buying the necklace

Answer:

38/45

Step-by-step explanation:

Answer:

38/45

Step-by-step explanation:

Hope it helps

Answer:

B, C, D

Step-by-step explanation:

B, C, D

Answer:

A.12

Step-by-step explanation:

x²>100

square root both sides

it becomes x>10

x>10

from the options the only number greater than 10 is 12

Therefore the answer is A. 12

Answer:

Sticks of butter: 2 Number of cookies: 40

Step-by-step explanation:

the ratio begins with 3:24. if you were to divide 3 by 24 it could be 1:8 **2**x 8 =16 so sticks of butter would be 2. 5x8=40.

Answer:

Yes it has infinity of solutions.

Step-by-step explanation:

If you plug in certain numbers it will make the statements true.

Answer:

Infinitely many solutions.

Step-by-step explanation:

Let's solve your system by substitution.

2x+3y=−6;4x+6y=−12

Step: Solve2x+3y=−6for x:

2x+3y=−6

2x+3y+−3y=−6+−3y(Add -3y to both sides)

2x=−3y−6

2x/2 = −3y−6/2

(Divide both sides by 2)

x= −3/2y−3

Step: Substitute −3/2y−3 for x in 4x+6y=−12:

4x+6y=−12 4(−3/2y−3)+6y=−12

−12=−12(Simplify both sides of the equation)

−12+12=−12+12(Add 12 to both sides)

0=0

Answer:

Infinitely many solutions.

Answer:

A. 3

Step-by-step explanation:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient

Answer:

The correct order is:

1. identify the variable

2. identify the operation

3. write an equation

4. solve the equation

5. check the solution

Step-by-step explanation:

Answer: 48

Step-by-step explanation: sales rate =25%

75% $36

1% = 36/75

100% = 36/75 × 100/1

Answer:

The answer is B) 40 yards for $45.00

Step-by-step explanation:

Options:

A) 20 yards per $30.00

B) 40 yards per $45.00

C) 50 yards per $70.00

C) 65 yards per $85.00

Think if buying something at the lowest cost which gives more.

1 yard per $1.00, sounds like a good deal.

20 yards per $30.00 which mean $10.00 more.

40 yeards per $45.00 which mean $5.00 more.

50 yards per $70.00 which mean $20.00 more.

65 yeards per $85.00 which mean $25.00 more.

multiples of 8 are all the numbers which are divisible by 8, for eg: 8,16,24,32,40,48...

P card has all multiples of 8

hope it helps...!!!

Answer:

I believe the answer is D.96

Step-by-step explanation:

well all rhombuses can be turned into a square or rectangle. and this looks like the sides are really close. just a guess don't get mad if it's wrong

Answer: 9cm

Step-by-step explanation:

Answer:

(0, - 3 )

Step-by-step explanation:

the solution to the system is at the point of intersection of the graphs.

the graphs intersect at (0, - 3 )

then solution is (0, - 3 )

Answer:

(0, -3)

Step-by-step explanation:

The solution is where the two lines intersect. The two lines intersect at the point (0, -3).

I hope it helped you!

Answer:

0.773 thousandths place

Answer:

0.772

Step-by-step explanation:

Thats what i got!

Hope this helps! :)

Answer:

$30

Step-by-step explanation:

50÷5=10x3=30

Mr. Brust needs 427 cans to cover the wall of dimensions 20 feet long and 9 feet tall.

Area of rectangle is the product of its sides

i.e., Area of rectangle = length  x breadth

The area of a circle is pi times the radius squared (A = π r²).

The circumference of a circle is defined as the linear distance around it.

( C= 2πr)

The can of red bull is in shape of cylinder.

If we open the cylinder it will have two circular surfaces( at bottom and top) and one rectangular sheet.

Like the given figure given.

It shows that the two circle will have the diameter 2.5 inches.

d= 2.5 inch

 = 0.208 ft

radius, r= [tex]\frac{d}{2}[/tex]

r= [tex]\frac{0.208}{2}[/tex]

r= 0.104 ft

Circumference of the circle be,

= 2πr

= 2 x 3.14 x 0.104

= 0.653 ft

The rectangular sheet will have,

length=  0.653 ft, breadth= 6.5 inches = 0.541 ft

      = length x breadth

      = 0.653 x 0.541

      =[tex]0.3532 ft^{2}[/tex]

       = 2 x π[tex]r^{2}[/tex]

       = 2 x 3.14 x 0.104 x 0.104

       = 6.28 x 0.010816

       = 0.0679 [tex]ft^{2}[/tex]

        = Area of rectangular sheet + Area of 2 circle( top and bottom of can)

        = 0.3532 + 0.0679

        = 0.4211 [tex]ft^{2}[/tex]

Now, we have the wall of dimensions

length= 9 ft, breadth= 20 ft

= length x breadth

=9 x 20

= 180 [tex]ft^{2}[/tex]

         =[tex]\frac{area \;of\; wall}{area \;of\; can}[/tex]

         =[tex]\frac{180}{0.4211}[/tex]

         = 427.45 cans

         ≈ 428 cans

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