3
a) The average rainfall of the last week was 35 mm. If the records of daily
rainfall from Sunday to Friday were 45 mm, 22 mm, 28 mm, 36 mm, 30 mm
and 24 mm, find the rainfall on Saturday.

Answers

Answer 1

Answer:

The rainfall on Saturday was of 60 mm.

Step-by-step explanation:

Average rainfall:

The average rainfall is given by the total rainfall divided by the number of days(7). So

If the records of daily rainfall from Sunday to Friday were 45 mm, 22 mm, 28 mm, 36 mm, 30 mm and 24 mm

On Saturday it was of x mm. So

[tex]35 = \frac{45 + 22 + 28 + 36 + 30 + 24 + x}{7}[/tex]

[tex]185 + x = 245[/tex]

[tex]x = 245 - 185[/tex]

[tex]x = 60[/tex]

The rainfall on Saturday was of 60 mm.


Related Questions

Use the passbook page to answer the question.
Name Ken Ritter
Account 10000000004
Date Deposit Withdrawal Interest Balance
1/02/06 $389.00
$389.00
2/05.06 $25.63
A
3/02/06 $122.33
B
4/02/06
$240 С
4/15,06
$500.00
D
5/06/06 $105.00
E
Ken Ritter was saving for a computer.
What was his balance B after he made two deposits?
O $526.36
o S536.96
OS554.26
O S636.86

Answers

Answer:

the answer is 536.96

its asking for you to add the balance (389) with the 2 deposits (25.63, 122.33)

hope this helps

RQ= x+1 QP=7 RP=2x+8 solve for RP

Answers

Answer:

RP = 8

Step-by-step explanation:

RQ + QP = RP (segment addition theorem)

(x + 1) + 7 = 2x + 8 (substitution)

Add like terms

x + 8 = 2x + 8

8 - 8 = 2x - x

0 = x

x = 0

✔️RP = (x + 1) + 7

Plug in the value of x

RP = (0 + 1) + 7

RP = 1 + 7

RP = 8

A sine function has the following key features: Period = 4pi Amplitude = 2 Midline: y = 3 y-intercept: (0, 3) The function is a reflection of its parent function over the x-axis.

did I get this right?

Answers

The sine function is:

f(x) = -2*sin(x/2) + 3.

So you got it almost correctly, you only forgot to apply the reflection.

How to get the sine function?

We start with the general sine function:

[tex]a*g(w*x + p) +m[/tex]

where g(x) = sin(x)

a is the amplitude, which we know is equal to 2.w depends on the period.M is the midline, which we know is equal to 3.p is the phase shift, because the y-intercept is (0, 3) we know that:

f(0) = 2*sin(w*0 + p) + 3 = 3

      = 2*sin(p) + 3 = 3

Then we must have p = 0, so there is no phase shift.

We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:

f(x) = 2*-sin(wx) + 3

Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:

f(x) = -2*sin(x/2) + 3.

This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.

If you want to learn more about sinusoidal functions, you can read:

https://brainly.com/question/18055768

Answer:

I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures

hope this helps

Dave's bank account balance reads -$345. What does this mean?

Answers

Answer:

hes in debt 345 dollars

Step-by-step explanation:

His total debt is $345

A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 300 responses with the following results:

90 were interested in a interview and documentary, but not reruns
12 were interested in an interview show and reruns, but not a documentary
42 were interested in reruns but not an interview show
72 were interested in an interview show but not a documentary
30 were interested in a documentary and reruns
18 were interested in an interview show and reruns
24 were interested in none of the three

Required:
How many are interested in exactly one kind of show?

Answers

Answer:

144

Step-by-step explanation:

The best way to attempt this question is to solve it using a Venn diagram

From the given information, Let;

D = documentaries

I = interview shows

G = game show reruns

From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.

i.e

= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)

= 300 - 234

= 66

No of those interested in exactly one kind of show = 66 + 60 + 18

= 144

∴[tex]\text{144 are interested in exactly one kind of show.}[/tex]

I am thinking of a number if you add two to the number then double it, you get ten. what is the number?​

Answers

Answer:

Difficulties regarding the emotions of your body.

Step-by-step explanation:

Difficulties regarding the emotions of your body.

Answer:

3

Step-by-step explanation:

Do this backwards.

10 ÷ 2 = 5

5 - 2 = 3

Extra: In order to solve questions like these, you might want to change it in the opposite way. For example, if they add a number , you subtract that number in your working.

The cost of a pair of Jordans is $125.00. The local sporting goods store sells it for $175.00. Find the markup rate.

Answers

Answer: 76

Step-by-step explanation:

Answer:

125 X 40% = 50.00

50.00 is the increase from the markup rate

Answer is 40%

Step-by-step explanation:

What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14,

Answers

Answer:

The common difference between successive terms in the sequence is -0.1

Step-by-step explanation:

Common difference in an arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

0.36, 0.26, 0.16, 0.06, -0.04, -0.14

Subtraction of each term by its predecessor. So

0.26 - 0.36 = 0.16 - 0.26 = -0.1

The common difference between successive terms in the sequence is -0.1

List your most frequent self criticism and analyze how you believe it developed ​

Answers

Answer:

Step-by-step explanation:I’m not smart because I am get fs

A recent study estimated that 68% of US adults enjoy reading a book while relaxing. How many adults are required
for a random sample to obtain a margin of error of at most 0.05 with 90% confidence?
A.236
B.271
C.335
D.578

Answers

Answer:

Step-by-step explanation:

236, did on edge

Pls help you will get brainlist if ya do

Answers

The x and y coordinate are switched

Can someone help me on problem one and if you can and only if you want can you also help me on two btw please show work I will give branily crown thing.

Answers

Answer:

17/15 _53/6

Step-by-step explanation:

The other is problem 1 and the other is problem 2

PROBLEM #1:

As the problem is, we are adding a negative. I can change this to be a subtraction problem. It looks like this: [tex]2\frac{1}{3} - 1\frac{1}{5}[/tex].

To be able to add or subtract fractions/mixed numbers, we have to first get common denominators. A common denominator is a shared multiple between two numbers. So, we need to find the smallest number that both 3 and 5 (the denominators of each fraction) can do into evenly. In this case, that number is 15! To transform the fractions to have common denominators, we will multiply 1/3 by 5/5 and 1/5 by 3/3 (multiply the top and bottom by 5 or 3 so that the denominator is 15). Here is our new problem: [tex]2\frac{5}{15} - 1\frac{3}{15}[/tex].

All that's left to do now is subtract! Since our first fraction is larger (this is important!) we don't need to do any borrowing. So, we'll subtract 2 - 1 = 1, and 5/15 - 3/15 = 2/15. Therefore, if we put those pieces back together, we get 1 2/15 ([tex]1\frac{2}{15}[/tex]).

PROBLEM #2:

For this problem, we have two negative mixed numbers. In this case, we will simply be adding the negative numbers because both are negative. For example, -2 + -4 = -6. Here is the rewritten problem: [tex]-3\frac{1}{2} + -5\frac{1}{3}[/tex].

Our first step is to get common denominators. In this case, that common denominator will be 6: [tex]-3\frac{3}{6} + -5\frac{2}{6}[/tex].

Now, we have to add! -3 + -5 = -8, -3/6 + -2/6 = -5/6. Once we've added the parts, we can put them back together to form the answer: -8 5/6 ([tex]-8\frac{5}{6}[/tex]).

Hope this helps!! :)

I need help on this question

Answers

answer is A im a full course teacher for this subject
the answer would be A

How is a decimal changed into a percent?
Divide by 100 and add a percent sign.
Move the decimal two places to the right, multiply by 100 and then add a percent sign.
Move the decimal two places to the right and add a percent sign.
Move the decimal two places to the left and add a percent sign.

Answers

Answer:

Move the decimal two places to the right and add a percent sign.

Step-by-step explanation:

.15= 15%

1.25= 125%

.06= 6.0, or 6%

Answer:

To convert a percent to a decimal, we move the decimal point 2 places to the left, just as we did when we were dividing by 100.

Step-by-step explanation:

Simplify the following fractions

8/24
8/32
6/30
12/24
9/21
5/20

Answers

Answer:

for 8/24 the answer will be 1/3.

and for 8/32 the answer will be 1/4.

and for 6/30 the answer will be 1/5.

and for 12/24 the answer will be 1/2.

and for 9/21 the answer will be 3/7.

and for 5/20 the answer will be 1/4

Step-by-step explanation:

HELP PLEASE WILL MARK BRAINLIEST!
Find the area. Simplify your answer.

Answers

Answer:

assuming that the figure is a parallelogram:

area = base x height

area = (x + 3) (2x) = 2x² + 6x

Step-by-step explanation:

52.76= 52+0.7+____

i hate this app a bit

Answers

Answer:

52.76= 52+0.7+52.76

Step-by-step explanation:

A toy rocket is launched from the roof of a building. The graph below shows the height of the rocket x seconds after it was launched. What is the average rate of change of the height of the rocket during its descent?
A. -32 ft/sec
B. -24 ft/sec
C. -64/3 ft/sec
D. -16 ft/sec​

Answers

Using it's concept, it is found that the average rate of change of the height of the rocket during its descent is given by:

D. -16 ft/sec​

What is the average rate of change of a function?

It is given by the change in the output divided by the change in the input.

In this problem, the input changed from 0 s to 3 s, while the output changed from 48 ft to 0 ft, hence:

r = -48 ft/3 s = -16 ft/s

Hence option D is correct.

More can be learned about the average rate of change at https://brainly.com/question/24313700

i got 10.6 am i wrong?

Answers

Answer:

15.3

Step-by-step explanation:

because 15 is the number I think


In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.
Many pundits claim that the worst is yet to come, with an earthquake 200,010 times
as intense as the 1906 earthquake ready to hit San Francisco. If the pundits ability
to predict such earthquakes were correct, what would be the magnitude of their
claimed earthquake? Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Good afternoon!

I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.

If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.

Anyways, please show all of your work and explain your thinking! Thanks!

Answers

9514 1404 393

Answer:

  5) 112°

  6) 40°

Step-by-step explanation:

5) The angle E or ? is half the sum of the intercepted arcs:

  ? = (130° +94°)/2 = 112°

__

6) The angle D is half the difference of the intercepted arcs:

  ? = (135° -55°)/2 = 40°

In Usama's high school, there are 190 teachers and 2650 students. What is the student-teacher ratio?
a. 1:14
b. 14:1
C. 503500

Answers

Answer:

i think it's 14:1 i can't understand 503500.

How many different 12 member juries can be chosen from a pool of 20 people?

Answers

Answer:

1,007,760

Step-by-step explanation:

This is a question that bothers on selection

Using the combination formula

nCr  = n!/(n-r)!r!

20C12 = 20!/(20-12)!12!

20C12 = 20!/8!12!

20C12 = 20*19*18*17*16*15*14*13*12!/8!12!

20C12 = 20*19*18*17*16*15*14*13/8!

20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2

20C12 = 5,079,110,400/5040

20C12 = 1,007,760

Hence this can be done 1,007,760 different ways

can someone find the slope intercept equation thanks and can you explain it

Answers

Answer:

the slope is -2x

Step-by-step explanation:

Its negative because the line is going towards the negatives, and 2 because the slope is rise over run. the line is going up 2 and over 1, which means 2/1, which simplifies to 2

Answer:

-2x -2

Step-by-step explanation:

The slope is negative because it is going down instead of up

y intercept is -2

Use rise over run

Rise is y x is run select 2 points and check rise/run

Slope= - x -(y)

-2

What value of "p" will the pair of equations
3x + 4y = 12 and px + 12y = 30 NOT have a
unique solution? (Hint: find the slopes
and equate]​

Answers

Answer:

9

Step-by-step explanation:

Slope is the same as coefficient of x

From the equation

3x+4y=12

Y=(-3/4)x+3

The slope for this eqn is -3/4

For this equation

Px+12y=30

12y=-p+30

Y= (-p/12)x +30/12

The slope is -p/12

To get p

-p/12=-3/4

P=9

The value of "p" is 9 for the pair equations  [tex]3x + 4y = 12[/tex], [tex]px + 12y = 30[/tex] which do not have a unique solution. The condition for the pair of equations that do not have a unique solution is that their slopes are equal i.e., [tex]m_1=m_2[/tex].

Solutions to a system of linear equations

A system of linear equations can have,

no solutionexactly one solution or unique solutioninfinitely many solutions

Conditions:A system of linear equations is said to have no solution if and only if their slopes are equal and y-intercepts are not equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1\neq c_2[/tex]A system of linear equations is said to have a unique solution or exactly one solution if and only if their slopes must not be equal i.e., [tex]m_1\neq m_2[/tex]A system of linear equations is said to have infinitely many solutions if and only if their slopes, as well as y-intercepts, are equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1=c_2[/tex]

Calculating the "p" value for the given pair of equations:

Given pair of equations

[tex]3x + 4y = 12\\px + 12y = 30[/tex]

Representing them in the slope-intercept form:

[tex]y=-\frac{3}{4} x+3\\y=-\frac{p}{12}x+\frac{5}{2}[/tex]

As we know that the slope of an equation in the form [tex]y=mx+c[/tex] is m

So,  for the two equations slopes are,

[tex]m_1=-\frac{3}{4}[/tex] and

[tex]m_2=-\frac{p}{12}[/tex]

Since it is given that there is no unique solution for the given pair of equations we can write,

[tex]m_1=m_2[/tex]

⇒[tex]-\frac{3}{4} =-\frac{p}{12}[/tex]

⇒[tex]p=9[/tex]

Therefore, the value of "p" when the pair of equations [tex]3x + 4y = 12[/tex] and [tex]px + 12y = 30[/tex] do not have a unique solution is 9.

Learn more about linear equations here:

https://brainly.com/question/7563683

#SPJ2

Find the slope of the line that passes through (6, 8) and (10, 9).

Simplify your answer and write it as a proper fraction, improper fraction, or integer

Answers

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

[tex]m = \frac{change \: in \: y}{change \: in \: x} [/tex]

The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates.

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Substitute in the values of x and y into the equation to find the slope.

[tex]m = \frac{9 - (8)}{10 - (6)} [/tex]

Simplify.

[tex]m = \frac{1}{4} [/tex]

Therefor, the slope is 1/4.

cara played a card game using a deck of 52 cards after she dealt the same number of cards to 4 players she had 24 cards left over how many cards did each player get

Answers

Answer:

7

Step-by-step explanation:

Assume each player get x cards. Total number of cards now is 4x+24=52.

Therefore, 4x=52-24=28.

Then, x= 28/4=7.

Help please I suck at math

Answers

Answer:

1 biodata is on my class then you will contact or person

Answer:

hey

Step-by-step explanation:

find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=5.

Answers

Answer:56

Step-by-step explanation:

giving brainliest !! *easy*

Answers

I believe that the center is located at (1,-3) and the radius is 3.

um here’s the graph

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