All categories

3 years ago

4 identical taps can fill a tank in 70 minutes. Find the time taken for 7 such taps to fill the same tank.

Mathematics

1 answer:

kicyunya [14]3 years ago

7 0

Answer:

4 taps take 70 minutes

2 taps would take 140 minutes

8 taps would take 35 minutes

time = (4 / # of taps) * 70

time = (4 / 7) * 70 = 40 minutes

Step-by-step explanation:

You might be interested in

After buying some new coins, Andre has 80 coins in his collection. Last month, he had 50 coins. The size of his current collecti

marta [7]

Answer:

160%

Step-by-step explanation:

5 0

3 years ago

Hi! Please help me solve this:

Natasha2012 [34]

Answer

by 20%????

Step-by-step explanation:

8 0

3 years ago

Raheem's entire workout consisted of 15 minutes of warm-up exercises, 30 minutes of lifting weights,and 45 minutes on the treadm

Sindrei [870]

Answer:

Step-by-step explanation:

Time taken for the total workout = 15 + 30 + 45 = 90 minutes

Time taken for lifting weight : total time = 30 : 90

= 1 : 3

4 0

2 years ago

How do i solve this step by step

AlladinOne [14]

Answer:

4) x^10

Step-by-step explanation:

1) If two numbers have the same base (i.e. x^3 and x^4) and you are multiplying them you just add the exponents. Therefore x^3*x^4 would be x^(3+4) which equals x^7.

2) When dividing similar bases you have to subtract the exponents. If we have x^18÷x^8 that is equivalent to x^(18-8) which gives us x^10.

3) If we have (x^3)^3 we will need to multiply the exponents. Therefore (x^3)^3 is equivalent to x^(3*3) which gives us x^9.

4) (x^2*x^4)^4÷x^8

First do what's in the parentheses,

(x^2*x^4) = x^6

Next do the exponents,

(x^6)^3 = x^18

Lastly the division,

x^18÷x^8 = x^10

x^10 is our answer.

4 0

3 years ago

(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y

a_sh-v [17]

Answer:

The equation of the line is $y=45.25t+545$

Step-by-step explanation:

The general for of a line is:

$y=mt+n$ (1)

where:

$m$ is the slope of the line and $m$ is the intercept with the axis of the dependent variable, $y$ in this case.

In order to obtain the value of the slope ( $m$ ) we can use the corresponding slope formula:

$m=\frac{y_{2}-y_1 }{t_2-t_1}$ (2)

where $t_1, t_2, y_1$ and $y_2$ are the corresponding coordinates of the given points. In this case:

$t_1=0\\t_2=4\\y_1=545\\y_2=726\\$

Substituting these values in equation (2) we obtain:

$m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25$

Hence, the line equation is now:

$y=45.25t+n$ (3)

Now to obtain the value of $n$ you can follow two options:

You can substitute one of your points, $A$ or $B$ , in equation (3). In this way, you will obtain an equation where the variable is $n$

Note that for this question, it is easier to select point A because of having the independent variable equals to zero $t=0$ . Hence, substituting point A in equation (3):

$45.25*0+n=545\\n=545$

Therefore, the line equation is: $y=45.25t+545$

The second option to find $n$ is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that $n$ is equal to $545$ .

See the attachment for a plot of the line.

7 0

3 years ago