if a tap fills a 450 litres tank with water in 1 hour, the water flows at the rate of _________ litres per minute

Answer:

option no.1

option no. 4

option no. 5

hope it helped u

Answer:

option 1

option 4

option 5

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3300\\ r=rate\to 6.75\%\to \frac{6.75}{100}\dotfill &0.0675\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &8 \end{cases} \\\\\\ A=3300\left(1+\frac{0.0675}{1}\right)^{1\cdot 8}\implies A=3300(1.0675)^8\implies A\approx 5565[/tex]

Answer:

5 and -8

Step-by-step explanation:

First, list the set of pairs of numbers that multiply to give 40 (so "factors" of 40):

1  40

2  20

4  10

5  8

Now look at the pairs to see which has a difference of 3.

1 and 40 has a difference of 39

2 and 20 has a difference of 18

4 and 10 has a difference of 6

5 and 8 has a difference of 3

Now all we need to do is determine whether 5 or 8 will be negative (if they are both negative, the product will be positive, so only one needs to be negative to have a product of -40).

As we need a final result of -3,  the two numbers will be: 5 and -8 (as 5 + - 8 = -3)

Answer:

5 and -8

Step-by-step explanation:

First I listed all the factors of 40 : 1, 2, 4, 5, 8, 10, 20 and 40.

Then out of those, I just had to find a pair with a difference of 3.

Or in other words, when I subtracted one from the other I either got 3 or -3.

The only pair that worked out that way when subtracted was 5 and 8.

However, if we multiply 5 and 8 we get 40, not -40, so something was amiss. When we add them up we have to get -3, and that only worked out if it was -8 and 5, since -8 + 5 = -3.

Therefore, the two numbers are -8 and 5

Hope this helps, please mark brainliest if possible :)

Answer:

b

Step-by-step explanation:

math

Transformation involves changing the coordinates of a point

The coordinates of the image of P is (9,13)

The coordinate of P is given as:

P = (-13,9)

The rule of reflecting the point over the line y = -x is represented as:

[tex](x,y) \to (y,-x)[/tex]

So, we have:

[tex](-13,9) \to (9,13)[/tex]

This means that:

[tex]P' = (9,13)[/tex]

Hence, the coordinates of the image of P is (9,13)

Read more about transformation at:

https://brainly.com/question/4057530

Answer:

∠1 and ∠3 as well as ∠5 and ∠7 are corresponding

∠2 and ∠7 are alternate

Step-by-step explanation:

Answer:

n = 30

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

Step 2: Multiply both sides by 10.

Step 3: Check if solution is correct.

Therefore, n = 30.

The fourth step is incorrect.

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Given

x² + 4x -12 is a polynomial.

              x² + 4x - 12

Step 1.    x² + 6x - 2x -12

Step 2.  (x² + 6x) - (2x + 12)

Step 3.   x(x + 6) - 2 (x + 6)

Step 4.   (x + 6)(x - 2)

Thus, in fourth step in place of (x + 2), (x - 2) is to be put.

Thus, The fourth step is incorrect.

More about the polynomial link is given below.

https://brainly.com/question/16059429

Answer: Mr. Jenkins would use 'mean'.

Step-by-step explanation:

Rather than use either median or mode, he would use mean. Mean is a statistical average of numbers. It would be best to brag about the total weight that he has lost rather than using the half-way point or the most frequent appearing number in the data.

Answer:Input : A = 12, B = 8

Output : X = 2, Y = 10

Input : A = 12, B = 9

Output : -1

Step-by-step explanation:

Answer:

No, it's not long enough

Step-by-step explanation:

The perimeter of the square is 4/5. P=4s where s is the side length. 4/5 is larger than 5/8, so there will not be enough lights to cover the whole perimeter.

Answer:

3/4

Step-by-step explanation:

The amplitude always comes before the operation(cos, tan...)

The surface area of this cylinder to the nearest thousandth is equal to 452.448 square feet.

Given the following data:

To calculate the surface area of this cylinder to the nearest thousandth:

Mathematically, the surface area (SA) of a cylinder is given by this formula:

[tex]SA = 2\pi rh + 2\pi r^2[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]SA = 2 \times 3.142 \times 6 \times 6 + 2 \times 3.142 \times 6^2\\\\SA = 226.224 + 226.224[/tex]

SA = 452.448 square feet.

Read more on surface area here: https://brainly.com/question/21367171

Answer:

1mm

Step-by-step explanation:

Step-by-step explanation:

the slope is the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

so, for example, when using the first 2 points (0, -5) and (1, -3) we see

x changes by +1 (from 0 to 1)

y changes by +2 (from -5 to -3).

so, the slope is +2/+1 = 2

the y-intercept is the y value when x=0. so in this case -5.

this is because it identifies the point where the line intercepts the y-axis (which is the reason why x=0).

the intercept point is then (0, -5).

Answer:

Volume = 3 cm^3

Step-by-step explanation:

The area of the front face is equal to the sum of three squares, each square has a side equal to 1 cm

Total frontal area = (1×1) ×3faces= 3 cm^2

the volume equal to frontal area multiplied by the depth which is equal to 1 cm

Volume=3×1= 3 cm^3

-3/5 × 3/7 + 4/5 – 3/7 × 1/10

(-3) × 3 ÷ 5(7) + 4/5 – 3 × 1 ÷ 7(10)

-9/35 + 4/5 – 3/70

-9/35 – 3/70 + 4/5

-9 × 2/35 × 2 – 3/70 + 4/5

-18 – 3/70 + 4/5

-21/70 + 4/5

-3/10 + 4/5

(-3)(5) + (10)(4) ÷ (10)(5)

-15 + 40/50

25/50 = 1/2

Thus, The answer is 1/2

-TheUnknownScientist 72

Answer:

23) n = 2

24) x = -7/2

25) t = 31/12

26) x = -2

27) x = 12/5

Step-by-step explanation:

Answer:

300+0.75x=y

Step-by-step explanation:

x(the number of large coffes ordered)

y(the total donation)

Answer:

y=0.75x+300

Step-by-step explanation:

So for this problem, I'm going to put it in slope-intercept form (only because it makes the most sense to me, plus if you need to graph it, this will be helpful)

So Jan is donating $300 first. So whatever you need to do, you need to add 300 afterwards to account for that donation. But then, Jan is going to donate $0.75 for every large coffee ordered. This is means it is a dependent variable. The amount is dependent on how many large coffees ordered.

Say, for example, there were 15 large coffees ordered. You should multiply 0.75*15, which will give you a product of 11.25. So for all the coffees ordered, Jan will donate a total of $11.25 (which isn't a lot, but that's okay). But that isn't ALL the money that Jan donated because, as stated before, Jan is going to donate $300 regardless of how many coffees ordered. So the total amount of money donated is $311.25

Hope this helps!

Answer:

9\1/3 is equal to 27

Step-by-step explanation:

if u divide the nine by 1/3 you get 27therefore he can fill 27 cups

Answer:

cosθ = ( √4 - a² ) ÷ 2

Explanation:

sinθ = a/2

according to sincostan rule:

sinθ = opposite/ hypotenuse

cosθ = adjacent/ hypotenuse

so here opposite is a and hypotenuse is 2

adjacent² + opposite² = hypotenuse²

adjacent² + a² = 2²

adjacent = √4 - a²

we found our adjacent.

so cosθ = adjacent/ hypotenuse

             =  ( √4 - a² ) / 2

so cosθ = [tex]\frac{ \sqrt{4 - a^{2}} }{2}[/tex]

Answer:

  45°

Step-by-step explanation:

The acute angles of a right triangle are complementary. The base angles of an isosceles triangle are congruent. If x is the measure of the base angles, this requires ...

  x = 90-x . . . . . the base angle is congruent to the other base angle

  2x = 90 . . . . . add x

  x = 90/2 = 45 . . . . divide by 2

The measure of a base angle of an isosceles right triangle is 45°.

__

It can be useful to remember this fact.

Answer:

Substitute the value of the variable into the equation and simplify.

48

Step-by-step explanation:

Answer:

42 or 48

Step-by-step expla

Answer:

First, find the answer for 36 ÷ 4. Which is 9.

Now calculate each expression until you get the answer of 9.

4 ÷ 36 = 4 * 1/36 = 4/36 = 1/9

36 ÷ 1/4 = 36 * 4 = 144

1/36 * 1/4 = 1/144

36 * 1/4 = 36/4 = 9

So, the last option is the answer. D. 36 * 1/4.

Answer:

35 1/3 I believe

Step-by-step explanation:

36 divided by 4/6 and you 35 1/3

Answer:

25 tennis balls

Step-by-step explanation:

20/5 = 100/x

x = 25

Answer:

25 tennis balls

Step-by-step explanation:

20x5= 100

5x5=25

there are 25 tennis balls in the bag

Answer:

y = -1.2x + 30

x = 22

x = 15

Step-by-step explanation:

Part A

Initially, Devin has $30.  Then every time he rides the bus, $1.20 is taken away:  y = 30 - 1.2x

Therefore, in slope-intercept form:  y = -1.2x + 30

If he has $3.60 on his card, then y = 3.60, so substitute this into the above equation and solve for x:

                                                  3.60 = -1.2x + 30

subtract 30 from both sides:  -26.4 = -1.2x

divide both sides by -1.2:             22 = x

Therefore Devin has ridden the bus 22 times if he has $3.60 on his card.

Part B

Rebecca:  y = -1.4x + 33

To determine how many rides on the bus Devin and Rebecca would need to take to have the same amount of value of their bus card, simply equate the equations and solve for x:

                                          Rebecca = Devin

                                                       y = y

                                         -1.4x + 33 = 30 - 1.2x

subtract 33 from both sides:   -1.4x = -3 - 1.2x

Add 1.2x to both sides:           -0.2x = -3

Divide both sides by -0.2:             x = 15

Therefore, Devin and Rebecca would both have to take 15 rides on the bus to have the same amount of value of their bus card.

Answer:

Step-by-step explanation:

new length=3.4+0.6=4.0 m

width=2.5 m

P=2(l+w)=2(4.0+2.5)=2(6.5)=13 meters

Answer:

13

Step-by-step explanation:

2.5x2+3.4x2+0.6x2=13