Approximately 6.5 x 105 gallons of water flow over a waterfall each second. There are 7.6 x 104 seconds in 1 day.
Enter the approximate number of gallons of water that flow over the waterfall in 1 day.
Can someone please help me

Answer:

x = 12

Step-by-step explanation:

<1 and the 142-deg angle are vertical, so m<1 = 142 deg

The angle measuring 3x + 2 and <1 are same-side interior angles. If the lines are parallel, then those two angles are supplementary.

3x + 2 + 142 = 180

3x + 144 = 180

3x = 36

x = 12

Answer:

Steve had an average speed of 62.55 mph while Mary had an average speed of 67.55 mph

Step-by-step explanation:

Here, we want to calculate the average speed of each of the two.

From the question, we are told that Mary drove an average of 5 mph faster than steve.

So, let the average speed of Steve be x mph, this means that the average speed of Mary will be (x + 5) mph

Mathematically;

Time = distance/speed

Time taken by Steve = 845/x hours

Time taken by Mary = 845/(x + 5)

But Mary took an hour less to complete her own trip;

This means that;

if we add one hour to the time spent by Mary, then we will have the time spent by Steve

845/(x + 5) + 1 = 845/x

845/(x + 5) = 845/x -1

845/(x + 5) = (845 - x)/x

Cross multiply;

845(x) = (x + 5)(845-x)

845x = x(845-x) + 5(845-x)

845x = 845x-x^2 + 4225 - 5x

x^2 + 5x - 4225 = 0

We can solve this using the quadratic formula;

x = -b ± √(b^2 - 4ac)/2a

where a = 1 , b = 5 , c = -4225

x = -5 ± √(5^2 - 4(1)(-4225)/2(1)

x = -5 ± √(25 + 16,900)/2

x = -5 ± √(16,925)/2

x = (-5 + 130.1)/2 or (-5-130.1)/2

We ignore the negative side as speed cannot be negative

x = (-5 + 130.1)/2 = 62.548 which is approximately 62.55 mph

So steve’s speed is 62.55 mph while Mary’s speed = 62.55 + 5 = 67.55 mph

Answer:

0.93m

Step-by-step explanation:

Convert 480 mm to m

480mm x (1m/1000mm) = 0.48m

Convert 45 cm to m

45cm x (1m/100cm) = 0.45m

Add the two numbers up

0.48m + 0.45 m = 0.93 m

Answer:

The original price was $40

Step-by-step explanation:

let x = original price

34= 0.85x

Divide both sides by 0.85

34/0.85 = x

40 = x

Check:

0.15 × 40 = 6

40 – 6 = 34

Answer:

287/9

Step-by-step explanation:

so the formula is a=1/2bh

A=287

B=?

H=18

:287=1/2b*18

287=b*9

b=287/9

Answer:

D

Step-by-step explanation:

Its 5x (on bottom row, its the simplest way to put it), and 625 x 5 = 3125, then 3215 x 5 = 15625. So its D.

Answer:

D

Step-by-step explanation:

If you look closely, you may see a pattern in the denominators.

the 1st one is 5,

the 2nd one is 5²

the 3rd one is 5³

so it is only reasonable that the next 2 are 5^4 and 5^5

Answer:

Step-by-step explanation:

use the formula y=mx+b. the first number in the parenthesis is -3 so that is x. 3 is y and the slope is m

so it is 3=4(-3)+b

Answer:

[tex] \huge{ \boxed{ \tt{75.9}\sf \: {m}^{2} }}[/tex]

Step-by-step explanation:

[tex] \underline{ \sf{Given}} : [/tex]

[tex] \star{ \sf{ \: Height \: of \: a \: parallelogram \: (h) \: = 11m}}[/tex]

[tex] \star{ \sf{ \: Base \: of \: a \: parallelogram \: (b) \: = 6.9m}}[/tex]

[tex] \underline{ \sf{Finding \: the \: area \: of \: the \: parallelogram \: having \: height \: of \: 11m \: and \: base \: of \: 6.9m}} : [/tex]

[tex] \boxed{ \sf{Area \: of \: parallelogram = base \: ∗ \: height}}[/tex]

[tex] \mapsto{ \sf{Area \: of \: parallelogram = 6.9m \: ∗ \: 11m}}[/tex]

[tex] \mapsto{ \sf{Area \: of \: a \: parallelogram = 75.9 \: {m}^{2} }}[/tex]

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

[tex] \huge\sf {\dag Question} [/tex]

If the height of a parallelogram is 11m and the base is 6.9m, what is the area of the parallelogram?

[tex] \huge\sf {\dag Solution } [/tex]

[tex] {\underline {\underline {\rm { Given:}}}} [/tex]

[tex] {\underline {\underline {\rm { To \: find :}}}} [/tex]

[tex] {\underline {\underline {\rm { Calculation :}}}} [/tex]

We know that,

[tex] {\underline {\underline {\rm {\red { Ar. \: of \: parallelogram = h \times b}}}}} [/tex]

Substituting values-

[tex] \sf {\implies Ar. \: of \: parallelogram = 11 \times 6.9}[/tex]

[tex] \sf {\implies Ar\: of \: parallelogram = 75.9{m}^{2}}[/tex]

Answer:

0.54 as a fraction is 54/100

4.18 as a mixed number is 4 18/100

0.51 as a fraction is 51/100

it would be really cool if you could mark me as brainliest :)

Step-by-step explanation:

Answer:

Step-by-step explanation

Answer:

y= 2x -3

Step-by-step explanation:

Let's rewrite the given equation into the form of y=mx+c, so that we can find the gradient of the line. In this form, m (coefficient of x) is the gradient.

4x -2y= 3

2y= 4x -3

Divide by 2 throughout:

[tex]y = 2x - 1 \frac{1}{2} [/tex]

Thus the gradient is 2.

Parallel lines have the same gradient thus the line would also have a gradient of 2.

Substitute m=2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x=2, y=1,

1= 2(2) +c

1= 4 +c

c= 1 -4

c= -3

Thus, the equation of the line is y= 2x -3.

Answer:

0.375

Step-by-step explanation:

Answer:

0.375.....................

Answer:

a = -3

Step-by-step explanation:

3a - 6a + 2 = 8a + 20 - 5a

Combine Like Terms

-3a + 2 = 3a + 20

       -2            -2

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

-3a = 3a + 18

-3a  -3a

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

-6a = 18

----   ----

-6     -6

a  =  -3

Answer:

Step-by-step explanation:

From the standard normal distribution tables it is -0.524.

The value of Z score for P 30 is - 0.524

Z score is the value that relates the data with the mean of the data , A ,0 ,  Z score means the data point is equal to the mean.

It is given to find

the z score that corresponds to P 30%

From the standard normal distribution table the value corresponding to 30 % is -0.524.

Therefore the value of Z score for P 30 is - 0.524

To know more about Z Score

https://brainly.com/question/15016913

#SPJ2

Answer:

Step-by-step explanation:

It’s 14/5 lol

Answer:

10

Step-by-step explanation:

A rational number is 9.

When you multiply 0.9x10 you get the sum of 9.

9 is a rational number because it is a perfect square and an integer.

I hope this helps you understand :)

Answer:

x=8

Step-by-step explanation:

I-4xI=32

4x=32

4x÷4 → 32÷4

=8 →x=8

Step-by-step explanation:

[tex]4 + \frac{2}{3} = \frac{3 \times 4 + 2}{3} = \frac{14}{3} = 4 \frac{2}{3} [/tex]

[tex] \frac{67}{71} \times \frac{381}{399} = \frac{67 \times 381}{71 \times 399} = \frac{25527}{28329} = \frac{8509}{9443} [/tex]

[tex] \frac{684}{795} \div \frac{24}{37} = \frac{684}{795} \times \frac{37}{24} = \frac{25308}{19080} = 1.33[/tex]

Answer:

13 + 5 into 6 Y equal y10 6 into 5 equal why into 13

Answer:

Easy, 4 units

Step-by-step explanation:

Answer:

What care is accelerating? I can't even see the answer choices-_-

Step-by-step explanation:

Answer:10.546

Step-by-step explanation:

0.76+9.786=10.546

Answer:

d

Step-by-step explanation:

Answer:

D. 8 cm

Step-by-step explanation:

Given :

Let the length of the arc be = l

radius of the arc, r = 2 cm

degree of angle subtended at the center by the arc, θ = 4 radian

Now we know that the angle subtended by an arc at the center of the circle whose radius is 2 cm will be,

θ = l/r

Therefore, we can write,

l = θ x r

l  = 4 x 2

  = 8 cm

So the length of the arc is 8 cm.

Answer: E: The number of books a person finished reading last month

Step-by-step explanation:

First, a discrete variable is a variable that only can take some given values in a set, the discrete variables are usually not dense, and a continuous variable is a variable that can take any value in a range (where the accepted values are dense).

So, for example, the set of the natural numbers is discrete, and the set of the real numbers can represent a continuous variable.

Here the only option that is really discrete will be the number of books that a person finished reading last month because here only positive whole numbers are accepted (you can not finish a 0.454 of a book)

The other options are continuous because all are classical measures.

For example, the weight of a person can jump between:

75.6kg and 75.7kg.

So you could think that this is discrete because the values between 75.6kg and 75.7g are not shown with our measuring device, but those will be added in the error of the measure because the weights between 75.6kg and 75.7kg are actually possible, so they must be accepted.

Option E is right.

A. The height of a person. Height is a continuous variable.

B . The weight of a person. Weight is a continuous variable.

C. The length of a person’s arm span. Length is a continuous variable.

D. The time it takes for a person to solve a puzzle. Time is a continuous variable.

E. The number of books a person finished reading last month. The number of books is discrete variable.

Learn more: https://brainly.com/question/11315571

Answer:

You can’t determine that.

Step-by-step explanation:

Using basic operations, it is found that you have 12 eggs.

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

A similar problem is given at https://brainly.com/question/24459209