A container can hold 2400 litres of water. (a) A large tap alone can fill the container in x hours. Write down an expression, in terms of r, for the amount of water that the large tap can dispense per minute. {b) A small tap alone will take 1 hour longer than the large tap to fill the co tainer. Write down an expression, in terms of x, for the amount of water that the small tap can dispense per minute. (c) When both taps are turned on at the same time, they can fill the container in 3 hours. Form an equation in x and shows that it reduces tox? -5x-3=0. X 20.​

The stocks are worth $ 1396.29 nine months later.

Using the continuous compounding formula,

[tex]A = Pe^{rt}[/tex] where

Substituting the values of the variables into the equation, we have

[tex]A = Pe^{rt}[/tex]

[tex]A = 1200e^{0.202 X 0.75}\\A = 1200e^{0.1515}\\A = 1200(1.1636)\\A = 1396.29[/tex]

So, the stocks are worth $ 1396.29 nine months later.

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Answer:

1.2

Step-by-step explanation:

First, you cancel out [tex]\frac{6}{20}[/tex] to become [tex]\frac{3}{10}[/tex]

Then that becomes [tex]-\frac{3}{10}+1.5[/tex]

Now, you convert the element to a decimal form to be [tex]-0.3+1.5[/tex]

Finally, you subtract them (because a negative plus a positive is subtraction) to get the final answer of 1.2

Hope this helps!

Answer:

130

ratio of woman to man is : 5/8

5/8×208=130

Answer:

130 women

Step-by-step explanation:

3 men to 5 women:

We can add the variable x:

3x + 5x = 208

8x = 208

x = 26

3 * 26 = 78 men,

5 * 26 = 130 women.

Answer:

answer: 0

Step-by-step explanation:

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 (x+4)•(x-1)

 ——————————— • 2 = 0 • 2

      2    

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  (x+4)  •  (x-1)  = 0

7.2    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

simple form

x = 1

x = -4

Answer:

1) 9

2) 34

Step-by-step explanation:

For the first one, it would be

= (6×3)/2

= 18/2

= 9

The second one is,

= 36- (12/6)

= 36 - 2

= 34

Based on the information the amount borrowed at each rate is:

Let x=9.5%  

Let 4x= 8.5%  

Let 7% =$2,000,000 - 5x

Formulate

0.095x + 0.085(4x) + 0.07(2,000,000-5x) = 169,750

Collect like terms

0.095x + 0.34x + 140,000 - 0.35x = 169,750

Divide both side by 0.085x

0.085x = 29,750

x=29,750/0.085

x =$350,000

Amount borrowed at each rate:

Z=9.5% =$350,000

Y= 8.5% =$350,000×4

Y= 8.5% =$1,400,000

X=7% =$2,000,000 - 5($350,000)

X=7%=$2,000,000-$1,750,000

X=7% =$250,000

Matrix form

Z $350,000

Y $1,400,000

X $250,000

Inconclusion the amount borrowed at each rate is: $350,000; $1,400,000; $250,000.

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Answer:

94.74

Step-by-step explanation:

Hope this helps!

Answer:

94.74

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

correct on edge

sin(83 radians) * cos(7 radians)) + (cos(83 radians) * sin(7 radians)) =

0.893996664

Answer:

hope it helps

Answer:

É 5x3=15

Step-by-step explanation:

Answer:

3x2 = 6

6-4x-7

(6-4x) - 7

2x - 7 = messi ok no xd

3.5-

Step-by-step explanation:

Answer:

[tex](3x-7)(x+1)[/tex]

Step-by-step explanation:

Use the slide-and-divide method:

[tex]3x^2-4x-7[/tex]

[tex]x^2-4x-21[/tex] <-- Multiply last term by the leading coefficient 3

[tex](x-7)(x+3)[/tex] <-- Factor

[tex](3x-7)(x+1)[/tex]

Answer:

The price of 1 adult ticket is 12 dollars, and the price of a ticket for one student is 7 dollars

Step-by-step explanation:

Make a system of equations for the two days that the play was shown.

Let x = the price of an adult ticket

Let y = the price of a student ticket

For the first day:

For the second day:

Now, we can solve using the elimination method. Multiply the first equation by 2 and the second equation by 9. Then swap the order of the equations.

Answer: And I don’t know math

Step-by-step explanation:

Answer:

B) [tex]-1+cos\theta[/tex]

Step-by-step explanation:

[tex](tan(\frac{\theta}{2}))(-sin\theta)[/tex]

[tex](\frac{1-cos\theta}{sin\theta})(-sin\theta)[/tex]

[tex](\frac{-sin\theta+sin\theta cos\theta}{sin\theta})[/tex]

[tex]-1+cos\theta[/tex]

Therefore, option B is correct

Helpful Tips:

Half-Angle Formula: [tex]tan(\frac{\theta}{2})= \frac{1-cos\theta}{sin\theta}=\frac{sin\theta}{1+cos\theta}=\pm\sqrt{\frac{1+cos\theta}{2}}[/tex]

Answer:

Adelina

Step-by-step explanation:

Answer:

all u do is take 3000×5%=150

Answer:

Today, Carmen out surfing for 8 hours

Step-by-step explanation:

160/100 × 5 = 8

Answer:

it looks like y int is about 2550

Step-by-step explanation:

Answer:

42 rats.

Step-by-step explanation:

since the ratio of mice to gerbils is 7:4, given that there are 32 gerbils, that means 32/4=8 gerbils; in other words, 56mice:32gerbils. Then, to find the # of rats, the ratio is 4:3, so you take the previous value of the # of mice and divide it by 4 to get 14(3)= 42

To understand this question, we need to know what it's asking and what's important and what is not important. Many people skip this step, but it is very important.

It is asking us to Find how many Rats there are.

This problem is defiantly reduced to the simplistic ratio

The next step is to Find clues

The clues are 32 Gerbils, 7:4 and 4:3

Now i like to make a chart but you may skip this step if you want

Gerbils=32

Mice=??

Rats=??

First, we have to find the numbers of Mice.

(Reducing Ratios divide them by a number like 2:4=1:2)

If you have 32 Gerbils and you reduced it to 4, what did you dived?

32/4=8

So, you multiply 7x8=56

There is 56 Mice.

Our table looks like this

Gerbils=32

Mice=56

Rats=??

Now we use the ratio 4:3 to find the numbers of Rats

If there are 56 mice, and it is reduced to 4, we have to do 56/4 to find out what we have to multiply 3 by to get the total numbers of rats (Inverse Operation) by. We get 14.

So now we do 3x14 in which we get 42.

Our chart now looks like this

Gerbils=32

Mice=56

Rats=42

I Hope this helped if you have any questions just tell me

Check the picture below.

Answer:

Assign an identifying variable to the quantity to be found. Write a sentence stating conditions placed on the quantity. Solve the sentence for the variable.

Step-by-step explanation:

can you mark me as brainlist

Answer:

1.25(-xsquare - 8x + 16)

Step-by-step explanation:

pls give me brainliest

I'm not sure but I think so

Answer:

About 3 hours

Step-by-step explanation:

together, they go 13 miles in one hour. 40/13 = 3 with remainder 1

Answer:

  a.  39 ft²

  c. 2x² +11x +12

  e. 35 yd²

Step-by-step explanation:

The missing vertical dimension is 5-3 = 2'. The missing horizontal dimension is 11-8 = 3'. Then the figure can be decomposed into a rectangle 11'×3' and one that is 3'×2'. The sum of those areas is ...

  total area = (11 ft)(3 ft) +(3 ft)(2 f) = (3 ft)(11 +2 ft) = (3 ft)(13 ft) = 39 ft²

__

We don't know what to make of the rectangles in each corner, so we'll assume they are distorted right-angle indicators. The area is the product of the dimensions shown:

  A = LW

  A = (2x +3)(x +4) = 2x² +11x +12 . . . area of figure

__

The shaded area is half the area of the rectangle. That is the same area you get if you use the triangle formula for the area of the shaded triangle.

  A = 1/2(14 yd)(5 yd) = 35 yd²

Answer:

The measure of <Y = 85 degrees

Step-by-step explanation:

you can solve this problem algebraically if you know that the sum of the interior angles of a triangle is 180 degrees.

if you add all of these angles and set them equal to 180, you can find what "a" is.

a+2a+a+10=180 so 4a+10=180 so a is 42.5 (which is equal to angle x)

then looking at all of the options, it can be seen that the first two options are incorrect because angle x is equal to 42.5 degrees.

you know that angle y is equal to 2a, so multiplying "a" by two, you can find that angle y is 85 degrees.

Answer:

mx x 2 x1dadqd

Step-by-step explanation:

=========================================================

Explanation:

Roy spends 1/4 of his money on 3 pens and 6 notebooks. That means 3/4 of it is leftover.

2/3 of 3/4 = (2/3)*(3/4) = 1/2 of his money is spent on buying some unknown number of additional pens. We'll come back to this later.

---------------

In terms of cost,

1 pen = 3 notebooks

which is another way of saying 1 pen is the same price as 3 notebooks.

Multiply both sides by 2 to get

2 pens = 6 notebooks

Therefore, saying "3 pens + 6 notebooks" is the same as "3 pens + 2 pens = 5 pens" when just thinking about costs.

---------------

In short, Roy buying 3 pens and 6 notebooks is the same as him buying 5 pens. He spends 1/4 = 25% of his money on getting these 5 pens.

Multiply those two values by 2 to find that 50% = 1/2 of his money would allow him to get 10 pens.

--------------

Recall that at the end of the first section, we concluded that Roy spent 1/2 of his money on buying those unknown additional number of pens. Then the previous section mentioned that 1/2 of his money gets him 10 pens. Therefore, he must have bought 10 additional pens on top of the original 3 mentioned in the instructions.

Overall, he purchased 3+10 = 13 pens

Answer:

  13 pens

Step-by-step explanation:

If a pen costs 3 times the cost of a notebook, then the cost of 3 notebooks will equal the cost of a pen. The 6 notebooks that Roy bought are equivalent in cost to 2 pens, so 1/4 of Roy's money is the cost of 3+2 = 5 pens.

After the first purchase, Roy has (1 -1/4) = 3/4 of his money remaining. If he spends 2/3 of that on more pens, he will have spent ...

  (2/3)(3/4) = 2/4

of his money on more pens. We've already seen that 1/4 of his money buys 5 pens, so 2/4 will buy 10 more pens.

Roy bought 3 +10 = 13 pens altogether.

Answer:

(40*4)-(32*4)=32

160-128=32

Step-by-step explanation:

Answer:

7308 / 18

= 406

B is the answer.

Answer:

The answer is 2

Step-by-step explanation:

The range of class A is 5-0 = 5

The range of class B is 3-0 = 3

the difference between 3 and 5 is 2.

Answer:

[tex]Fourth \: option: y^2=9^2+19^2-2(9)(19) cos(41°)[/tex]

[tex]The \: law \: of \: cosines \: to \: solve \: for \: one \: side  \: is:[/tex]

[tex]c^2=a^2+b^2-2ab \: cos \: C[/tex]

We must know the other two sides (a and b) and the angle between these sides (angle C, the opposite to the side that we want to determine)

In this case c=y, a=9, b=19, and C=41°, then:

[tex]y^2=9^2+19^2-2(9)(19) \: cos \: (41°)[/tex]

Answer:

i think that it would be 0