On Monday a post office employee processed a batch of letters, on Tuesday she processed three times as many, and on Wednesday she processed 5,000 cards. In the 3 days she processed 15,000 letters. How many did she process on Tuesday

Answers

Answer 1

Let the number of letters processed on Monday = x

She processed 3 times letters on Tuesday.

Therefore, number of letters processed on Tuesday = 3x

Number of letters processed on Wednesday = 5000

Total number of cards processed in 3 days = 15000

Therefore, equation for the situation will be,

x + 3x + 5000 = 15000

4x = 15000 - 5000

4x = 10000

x = 2500

Since, number of letters processed on Tuesday = 3x

Therefore, number of letters processed on Tuesday = 3(2500)

                                                                                             = 7500

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Related Questions

The population, P, of six towns with time t in years are given by the following exponential equations:
(i) P = 1000 (1.08) Superscript t (ii) P = 600 (1.12) Superscript t
(iii) P = 2500 (0.9) Superscript t (iv) P = 1200 (1.185) Superscript t
(v) P = 800 (0.78) Superscript t (vi) 2000 (0.99) Superscript t
Which town decreasing the fastest?
a.
ii
c.
iii
b.
v
d.
vi



Please select the best answer from the choices provided


A
B
C
D

Answers

Given:

The population, P, of six towns with time t in years are given by the following exponential equations:

(i) [tex]P=1000(1.08)^t[/tex]

(ii) [tex]P = 600 (1.12)^2[/tex]

(iii) [tex]P =2500 (0.9)^t[/tex]

(iv) [tex]P=1200 (1.185)^t[/tex]

(v) [tex]P=800 (0.78)^t[/tex]

(vi) [tex]P=2000 (0.99)^t[/tex]

To find:

The town whose population is decreasing the fastest.

Solution:

The general form of an exponential function is:

[tex]P(t)=ab^t[/tex]

Where, a is the initial value, b is the growth or decay factor.

If b>1, then the function is increasing and if 0<b<1, then the function is decreasing.

The values of b for six towns are 1.08, 1.12, 0.9, 1.185, 0.78, 0.99 respectively. The minimum value of b is 0.78, so the population of (v) town  [tex]P=800 (0.78)^t[/tex] is decreasing the fastest.

Therefore, the correct option is b.

Match the word to know with its definition


Expanded form

Product

Place value

Digit


A number that is written as a sum of single digit multiples of powers of 10

Any of the symbols ( 0 to 9 ) that are used to write a number

The result of multiplying two or more numbers together

The value of where a digit is located in a number

Answers

Expanded form
- A number that is written as a sum of single digit multiples of powers of 10.
Consider the number 3,559,761
The expanded form of it is:
3,000,000 + 500,000 + 50,000 + 9,000 + 700 + 60 + 1

Product
- The result of multiplying two or more numbers together.
EXAMPLE:
Multiply 4 x 3 = 12
12 is the product
Product is the answer you get from multiplying two or more numbers together.


Place value
- The value of where a digit is located in a number.
Consider the number “350”
The place value of 3 in 350 is 300
Place value of 5 = 50
Place value of 0 = 0

Digit
- Any of the symbols (0 to 9) that are used to write a number.

I HOPE THIS HELPS!


3 1/2 + (-5 2/3 ) ÷ ( 1 3/4)²

Answers

1 191/294 ≅ 1.6496599
1 55/192 or 247/192 or 1.286

Follow order of BEDMAS. Converting fractions into decimals may help, just make sure you add the remainder.

Beatrice graphed the relationship between the time (in seconds) since she sent a print job to the printer and the number of pages printed.

10
10
20
20
30
30
40
40
5
5
10
10
15
15Seconds since sending print jobPages printed
What does the
x
xx-intercept represent in this context?
Choose 1 answer:

Answers

Given:

Consider the below figure attached with this question.

To find:

The interpretation for x-intercept in this context.

Solution:

In the given graph x-axis represents the second since sending print job and y-axis represents the Pages printed.

At x-axis the y-coordinate is 0. It means the x-axis represents the number of seconds that passed before the printer started printing pages.

Therefore, the correct option is C.

Answer:

B. The number of seconds that passed before the printer started printing pages

Step-by-step explanation:

how can i learn math well?

Answers

Redo the answers over and over until you understand the situation

Answer:

you can use brainly because the ppl on here are smarter than all of us and they also explain how to solve answer so you can focus really hard to understand heh

Correct answer gets 5 star

Answers

Answer:

Step-by-step explanation:

A

GIVING BRAINLIEST TO CORRECT ANSWERS

Answers

Answer:

b is the correct answer

Step-by-step explanation:

NOW ASAP PLEASE NEED FAST ANSWERRRRRRRR

Answers

Let's take any 2 points from the line.

1. (-4,-2)

2. (-2,-7)

[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{y_{2} - y_1}{x_{2} - x_1} \\ = \frac{ 7 - ( - 2)}{ - 2 - ( - 4)} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \\ = 2.5[/tex]

In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°

Answers

Answer:

9.013 square units

Step-by-step explanation:

lowkey need help with this.

Answers

9514 1404 393

Answer:

  c = 14

  no extraneous solutions

Step-by-step explanation:

You can subtract the right-side expression, combine fractions, and set the numerator to zero.

  [tex]\dfrac{c-4}{c-2}-\left(\dfrac{c-2}{c+2}-\dfrac{1}{2-c}\right)=0\\\\\dfrac{c-4}{c-2}-\dfrac{1}{c-2}-\dfrac{c-2}{c+2}=0\\\\\dfrac{(c-5)(c+2)-(c-2)^2}{(c-2)(c+2)}=0\\\\\dfrac{(c^2-3c-10)-(c^2-4c +4)}{(c-2)(c+2)}=0\\\\\dfrac{c-14}{(c-2)(c+2)}=0\\\\\boxed{c=14}[/tex]

__

Check

  (14 -4)/(14 -2) = (14 -2)/(14 +2) -1/(2 -14) . . . . substitute for c

  10/12 = 12/16 -1/-12

  5/6 = 3/4 +1/12 . . . . true

There is one solution (c=14) and it is a solution to the original equation. There are no extraneous solutions.

Given: x-5> -10.
I clicked it on accident so ignore the blue thing ! Help needed

Answers

Answer:

the first one

Step-by-step explanation:

[tex]x - 5 > - 10 \\ x > - 10 + 5 \\ x > - 5[/tex]

solve for θ:

sin(θ-70)=cos(θ)

pls help and explain step by step
thank you ​

Answers

Answer:

Use this rule : cosx = sin (90 - x)

sin( x -70) = sin (90 - x)

x-70 = 90 - x

2x = 160

x = 80

A sociologist polled a random collection of people and asked them their
age and annual income. The two-way frequency table below shows the
results. Which of the following is true about the people polled?
A
People age 44 and under were more likely to earn at
least $50,000 than people age 45 and up.
B
People age 44 and under were less likely to earn at
least $50,000 than people age 45 and up.
C
People age 44 and under were equally likely to earn
at least $50,000 as people age 45 and up.
D
There is not enough information to determine if
people age 44 and under were more likely to earn at
least $50,000 than people age 45 and up.

Answers

Answer:

B

Step-by-step explanation:

G is a transformation of f. The graph below shows f as a solid blue line and g as a dotted red line. What is the formula of g in terms of f?

Answers

Answer: f(x-2) which is choice A.

The blue f(x) curve is shifted 2 units to the right to get the red g(x) dashed curve.

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

Explanation:

For now, ignore the red dashed curve g(x). Imagine that the blue curve f(x) is fixed in place. If we shifted the xy axis to the left 2 units, then this gives the illusion the blue curve is moving even though the curve is fixed in place.

The operation "shift xy axis 2 units to the left" means each x input is 2 units smaller. So each x input is now x-2.

Therefore, going from f(x) to f(x-2) will shift the blue curve 2 units to the right to land perfectly on the red dashed g(x) curve.

M angle a=40° then m angle b=?​

Answers

Answer:

not enough info

Step-by-step explanation:

A graph is shown.
How do you determine if this is a function or not? Is this a function. Help please

Answers

Answer:

Not a function

Step-by-step explanation:

we see on this graph,

(1,2) and (1,7)

we have two of the same x points, when put on a graph, that would be having 2 of the same inputs.

which always means it's not a function.

5 x 1/4
how can you use addition to show that your answer is correct?​

Answers

Answer:

Step-by-step explanation:

[tex]5*\dfrac{1}{4}=\dfrac{5}{4}\\[/tex]

Using addition,

Add (1/4) , five times

[tex]\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{1+1+1+1+1}{4}\\\\=\dfrac{5}{4}[/tex]

Answer:

5/4

Step-by-step explanation:

Add 1/4 together 5 times:

1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 5/4

Which points are possible approximations for this system? Select two options.

Answers

Step-by-step explanation:

second: (2.2,-1.4)

third: (2.2,-1.35)

Step-by-step explanation:

hope it helps✨

Help anyone can help me do this question,I will mark brainlest. The question is find the area of the shaded region.​

Answers

Answer:

13. 10

14. 51

Step-by-step explanation:

Answer:

13. 10

14. 51

Step-by-step explanation:

can you please help me with this.

Answers

Answer:

Step-by-step explanation:

The equation for an arithmetic sequence is

[tex]a_n=a_1+d(n-1)[/tex]  where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.

Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:

[tex]a_n=2+3(n-1)[/tex] which simplifies to

[tex]a_n=2+3n-3[/tex] and a bit more to

[tex]a_n=3n-1[/tex] (which should tell you that arithmetic sequences are lines!)

Finding the 13th number simply requires that we replace n with 13 and solve:

[tex]a_{13}=3(13)-1[/tex] so

[tex]a_{13}=38[/tex]

Answer:

38

Step-by-step explanation:

This isn't the most efficient way but it's the best I can do.

2, 5, 8, 11....

The pattern is that we add 3 every time.

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,

1 , 2, 3, 4, 5,  6,   7,    8,    9,   10,  11,   12,  13

We can see that 38 is the 13th term of the sequence.

What is the sum of the greatest number and least number formed by the digits 4,7,0and 9​

Answers

Answer:

13819

Step-by-step explanation:

The biggest number is :9740

The smallest number is :4079

Sum means addition so...

9470 + 4079 = 13819

m/HCB = 60°, m/DCB = 9x-1, and m/DCH = 2x+ 16. Find x​

Answers

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

Note that ∠DCB is the sum of ∠HCB and ∠DCH. Hence:

[tex]m\angle DCB = m\angle HCB + m\angle DCH[/tex]

Substitute in the appropriate values/expressions:

[tex](9x-1) = (60) + (2x+16)[/tex]

Solve for x. Combine like terms:

[tex]9x - 1 = 2x + 76[/tex]

Subtract 2x from both sides:

[tex]7x - 1 = 76[/tex]

Add one to both sides:

[tex]7x = 77[/tex]

And divide. Hence:

[tex]x=11[/tex]

Answer:

x=11

Step-by-step explanation:

<DCB = <DCH + < HCB

9x-1 = 2x+16 + 60

Combine like terms

9x-1 = 2x+76

Subtract 2x from each side

9x-1-2x= 2x+76-2x

7x-1 = 76

Add 1 to each side

7x-1 +1 = 76+1

7x = 77

Divide by 7

7x/7 = 77/7

x=11

A school bus has seating for 75 students. There are 13 buses at a school. What is the maximum number of students
the buses can seat
225 students
750 students
975 students
985 students
Help

Answers

Answer:

75 students and 13 buses are just 75 x 13

975 students

Step-by-step explanation:

75 x 13 = 975

Answer:

975

Step-by-step explanation:

13 x 75 = 975

Simplify the following expression:

-3(x+6)+8x
3x-25
5x-22
-11+3x
5x-18

Answers

Answer:

5x -18

I hope this helped! have a nice day! :)

Answer:

5x+18

Step-by-step explanation:

A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.​

Answers

Answer:

A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.

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What does media literacy mean?
A. The practice of reading things that are on a screen
B. The practice of being able to identify the different types of media
C. The practice of being able to access, analyze, and evaluate media
D. The practice of using multiple media at one time

Answers

Answer:

C.

Step-by-step explanation:

Media literacy encompasses the practices that allow people to access, critically evaluate, and create or manipulate media.

I'm Timed
Which situation could this expression represent?
6 + 15 ÷ 3

Michael has 6 stamps in his collection. He adds 15 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?

Walter has 6 stamps in his collection. He divides the stamps evenly into 3 piles and adds 15 new stamps to one of the piles. How many stamps are in this pile?

Andy has 15 stamps in his collection. He divides the stamps evenly into 3 piles and adds 6 stamps to one of the piles. How many stamps are in this pile?

Brycen has 15 stamps in his collection. He adds 6 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?

Answers

It would be C. Because PEMDAS. Division goes first in this equation. So it’d be 15 divided by 3 plus 6

Answer:

It's Micheal because he started with 6 and added 15 and he divided them into 3 piles

A class of 245 students went on a field trip. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.

Answers

5 busses, 4 cars. 5x45= 225. 4x5=20. 225+20=245

Answer:

4 cars and 5 buses

Step-by-step explanation:

245÷ 45=5.4

45×5=225

245-225=20

20÷5=4

5/√2+9/√8-2√50+√32 rationalise the denominator and simplify

Answers

The simplification of the expression is  [tex]\frac{15\sqrt{2} }{4}[/tex]

How to rationalize the denominator

First, find the factors of the number that ahs square root

Given,

= [tex]\frac{5}{\sqrt{2} } + \frac{9}{\sqrt{6} } - \frac{2}{\sqrt{50} } + \sqrt{32}[/tex]

Multiply the numerators by the surd of the denominators

= [tex]\frac{5 *\sqrt{2} }{\sqrt{2}*\sqrt{2 } } + \frac{9 *\sqrt{8} }{\sqrt{8}* \sqrt{8} } - \frac{2 *\sqrt{50} }{\sqrt{50 * \sqrt{50} } } + \sqrt{32}[/tex]

Multiply through and find their square root

= [tex]\frac{5\sqrt{2} }{2} + \frac{18\sqrt{2} }{8 } - \frac{10\sqrt{2} }{50} + 16\sqrt{2}[/tex]

To simply, we have

= [tex]\frac{5\sqrt{2} }{2}+ \frac{9\sqrt{2} }{4} + \frac{1\sqrt{2} }{5} + 16\sqrt{2}[/tex]

Find the LCM

= [tex]\frac{10\sqrt{2} + 45\sqrt{2}+ 4\sqrt{2} + 16\sqrt{2} }{20}[/tex]

Add through

= [tex]\frac{75\sqrt{2} }{20}[/tex]

= [tex]\frac{15\sqrt{2} }{4}[/tex]

Thus, the simplification of the expression is  [tex]\frac{15\sqrt{2} }{4}[/tex]

Learn more about surds here:

https://brainly.in/question/4594146

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Question 9 (5 points)
3
6
9
--
What's the approximate measure of one interior angle of the regular polygon shown?
12
A) 1,620°
>
15
B) 220°
C) 2.7°
18
D) 147.3°

Answers

Answer:

147.3

Step-by-step explanation:

this is an hendecagon there is 11 sides the total interior measure is 1,620 if you divide that by each side which would be 11 you get 147.272727 which would ultimately round up to be 147.3

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