Mary takes 8 days to do a full check of the
library's online catalog. Her assistant takes
12 days. If they work together, determine the
fraction of the catalog that is checked after
4 days.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\begin{array}{|c|c|c|c|c}day&1&2&3&4\\----&-----&-----&-----&-----\\Mary&\frac{1}{8} &\frac{2}{8} &\frac{3}{8} &\frac{4}{8} \\Assis&\frac{1}{12} &\frac{2}{12} &\frac{3}{12} &\frac{4}{12} \\Sum&\frac{1}{8}+\frac{1}{12}&\frac{2}{8}+\frac{2}{12}&\frac{3}{8}+\frac{3}{12}&\frac{4}{8}+\frac{4}{12}\\part&\frac{5}{24}&\frac{10}{24}&\frac{15}{24}&\frac{20}{24}=\boxed{\frac{5}{6}}\\----&-----&-----&-----&-----\\\end{array}[/tex]

The fraction of the catalog that is checked after 4 days is 5/6

Answer 2

If Mary takes 8 days to do a full check and her assistant takes 12 days then if they work together then the fraction of the catalog that is checked after 4 days is 1000/12.

What is fraction?

Fraction is a combination of numerator and denominator. The number above division sign is known as numerator and the number below the division sign is known as denominator. It is in p/q form in which q cannot be equal to 0.

How to find fraction?

let the catalog contains 100 things.So in this way ,

In 1 day Mary does 100/8 things completed and her assistant does 100/12 things completed in 1 day.

So in four days they will complete =100*4/8+100*4/12

=400/8+400/12

=(4800+3200)/96

=8000/96

=1000/12

Hence if Mary takes 8 days to do a full check and her assistant takes 12 days then if they work together then the fraction of the catalog that is checked after 4 days is 1000/12.

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Related Questions

PLZ HELPPPPPPPPPPPPPPP

Answers

Answer:

x = -2

JK = 18 units

Step-by-step explanation:

3x + 15 = 8x + 25

15 - 25 = 8x - 3x

-10 = 5x

x = -10/5

x = -2

(3x + 15) + (8x + 25)

(3(-2) + 15) + (8(-2) + 25) = JK

((-6) + 15) + ((-16) + 25) = JK

9 + 9 = JK

JK = 18
••••••••••••••••••••••••••••••
Please correct me if my
answer is wrong, thank
you

Find the circumference of this circle

Answers

Answer:

81.64 cm

Step-by-step explanation:

c = 2(3.14) x 13

c = 6.28 x 13

c = 81.64

81.64 cm is the answer

If 2x = 2, what is the value of x?

Answers

Answer:

1

because 1 times anything is that number!

Step-by-step explanation:

b
Find all the missing angles - a,b,c, and d​

Answers

a=65° d=75° b=25° c=25°

Answer:

a=65° d=75° b=25° c=25°

Step-by-step explanation:

Have a good day

-Bradi

Find the absolute values
| -7| =7 | -6 | =6

Answers

Answer:

7, 7, 6, 6

Step-by-step explanation:

Answer:

6.6.7.7

Step-by-step explanation:

that is we remove the subtract sign (negative sign)

Help please due tomorrow

Answers

To make a scale factor you need to get to shapes of similar shape. As you can see two of the vertical sides are of similar shape soo.
We take the original over the scaled

2/6
Then simplify
1/3

Please brainlist ty :)

Solve the equation.
} (a + 2) = {(2-a)
WWW.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)

Answers

B…………..5,fcgxrceecevvwwve

Solve the following 3x^2+18-81=0

Answers

Answer: 9 or 3

Step-by-step explanation:

Step-by-step explanation:

[tex]3 {x}^{2} + 18x - 81 = 0 \\ \\ {x}^{2} + 6x - 27 = 0 \\ (x - 3)(x + 9) = 0 \\ x - 3 = 0 \: \: \: \: \: x + 9 = 0 \\ x = 3 \: \: \: \: x = - 9[/tex]

help me do this plz

Answers

Answer:

X= –10

[tex] \frac{1}{2} x - 5 = - 10 \\ \frac{1}{2} x = - 10 + 5 \\ \frac{1}{2} x = - 5 \\ x = - 5 \times 2 \\ x = - 10[/tex]

I hope I helped you^_^

x=-10 because well 5 and 5 is 10

Given the recursive sequence defined by:
tn=5tn-1 + 3tn-2
with ti=2 and t2 = 4
Which of the following would be the first 5 terms of the sequence?

Answers

Answer:

2, 4, 26, 142, 788

Step-by-step explanation:

Using the recursive rule and t₁ = 2, t₂ = 4 , then

t₃ = 5t₂ + 3t₁ = 5(4) + 3(2) = 20 + 6 = 26

t₄ = 5t₃ + 3t₂ = 5(26) + 3(4) = 130 + 12 = 142

t₅ = 5t₄ + 3t₃ = 5(142) + 3(26) = 710 + 78 = 788

First 5 terms are 2, 4, 26, 142, 788

Multiply (2 − 7i)(9 + 5i). (6 points)

53 − 53i
−17 − 53i
18 − 35i2
18 − 53i − 35i2

Answers

the answer would be

A. 53-53i !! :)

it was also the correct answer on the test ,, goodluck !!

Answer = B. -17 -53i

Irene has a checking account. On Monday she writes a $160 check for groceries. Then she deposits $125
into her account. Finally, she writes another check for $40. What was the total change in the amount of
money in Irene's account on Monday?

A. $85
B. - $85
C. $75
D. -$75
E. $325
F. - $325

Answers

Answer:

D. - $75

Step-by-step explanation:

We mark checks as negative and a deposit as positive:

- 160 + 125- 40

Add up to get the total change of:

-160 + 125 - 40 = - 75

Correct choice is D

Answer:

Answer :-

Here, Irene is having a checking account. First she write a check of $160. Then means it has an decrease money. (-160) Now, She deposit $125. This means Now, the balance is -160 + 125 = $-35. She again write a check of $40. (-40). Total change =>

-40 - 35

-75

Option D is correct mate!

this whole thing hurts my brain.

Answers

Answer:

1.) C. 32

2.) Stem-and-leaf plot

Step-by-step explanation:

    This is a stem-and-leaf plot. The stem represents tens and the leaves represent units. To make it easier to look at, it is equivalent to this:

20, 28, 29, 29, 31, 32, 36, 41, 42

    Now, to find the mean, add up all the numbers and divide the sum by the number of values.

(20 + 28 + 29 + 29 + 31 + 32 + 36 + 41 + 42)/9 = 288/9 = 32

Riley is asked about her age . She answers as follows . “My age is 3 more than twice the age of my younger brother.” how old is her younger brother if Riley is 35 years old ?

Answers

Answer:

Her younger brother is 11 years old

Step-by-step explanation:

35=3+2x

35-3=2x

32=2x

32÷2=2x÷2

11=x

Find the volume of the
rectangular prism.
2 cm
1
8 cm
5 cm

Answers

Volume is length x width x height.
So, 2x8x5= 80 cubic centimeters

On the planet Tott, there are 9 frenks to every 8 vreels. If farmer Yoy
has 80 frenks on her rew farm, how many vreels are on the farm?
Round to the nearest tenth if rounding is needed?

Answers

Answer:

71.1 vreels on the farm

Step-by-step explanation:

Create a proportion where x is how many vreels are on the farm:

[tex]\frac{9}{8}[/tex] = [tex]\frac{80}{x}[/tex]

Cross multiply and solve for x:

9x = 640

x = 71.1

So, to the nearest tenth, there are 71.1 vreels on the farm.

5.
A bag contains three types of candy (gumdrops, jelly beans, and jawbreakers). If
chosen at random, the probability of getting a gumdrop is 1/6 and the probability
of getting a jellybean is 1/3 What is the probability of getting a jawbreaker?

Answers

Answer:

P) = 1/2 jawbreaker

simplified P) 3/6 = 1/2 jawbreaker

Which both mean the same, so show simplified if asked and either answer if not asked would be marked high.

as 2/6 + 1/3 = 3/6

1 - 3/6 = 3/6

= 1/2    are the workings.

Step-by-step explanation:

Jelly bean = 1/3 = 2/6

Gumdrop = 1/6

2/6 + 1/6 = 3/6 = the difference of 1

1-3/6 = 3/6

Therefore; P) = 3/6 jawbreaker

2. Show that a. the points 3 + i,6,4 + 4i are vertices of right triangle​

Answers

Answer:

Step-by-step explanation:

[tex]Z_1=3+i\\Z_2=6\\Z_3=4+4i\\\\||Z_2\ Z_1||^2=||-3+i||^2=9+1=10\\\\||Z_1\ Z_3||^2=||1+3i||^2=10\\\\||Z_2\ Z_3||^2=||-2+4i||^2=20\\\\And\ 10+10=20[/tex]

Using the converse of the Pythagorean's theorem, the triangle is right.

Using Pythagorean theorem, the points 3 + i, 6, and 4 + 4i indeed form the vertices of a right triangle.

The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).

Let's calculate the distances between the points and then check if the Pythagorean theorem holds for them.

Distance between points A (3 + i) and B (6):

Distance AB = |6 - (3 + i)|

                     = |6 - 3 - i|

                     = |3 - i|

                     = [tex]\sqrt{(3^2 + (-1)^2)[/tex]

                     = √10

Distance between points A (3 + i) and C (4 + 4i):

Distance AC = |4 + 4i - (3 + i)|

                     = |1 + 3i|

                     = [tex]\sqrt{(1^2 + 3^2)[/tex]

                     = √10

Distance between points B (6) and C (4 + 4i):

Distance BC = |4 + 4i - 6|

                     = |-2 + 4i|

                     = [tex]\sqrt{((-2)^2 + 4^2)[/tex]

                     = √20

Now let's check if the Pythagorean theorem holds for these distances:

Longest side: [tex]BC^2 = (\sqrt20)^2 = 20[/tex]

Sum of squares of shorter sides:

[tex]AB^2 + AC^2 = (\sqrt10)^2 + (\sqrt10)^2[/tex] = 10 + 10 = 20

Since the sum of the squares of the shorter sides is equal to the square of the longest side.

So, the points 3 + i, 6, and 4 + 4i are vertices of a right triangle.

Learn more about Pythagorean theorem here:

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Please give the code :/

Answers

Step-by-step explanation:

1. m = (9-3)/(2-1) = 6/1 = 6 => B

2. m = (-7-5)/(2+1) = -12/3 = -4 => G

3. the horizontal line passes (0,4) => m = 0 =>I

4. m = (2-1)/(8-8) = 1/0 = oo => undefined => A

11. The temperature was 81°F at 4PM and steadily decreased 3° each hour. What was the
temperature at 8PM?

Answers

Answer:

69°

Step-by-step explanation:

4x3 = 12

81 - 12 = 69

69°

Hurry in need of help! Please

Answers

[tex]\\ \sf\dashrightarrow \dfrac{x+20}{2}=3x[/tex]

[tex]\\ \sf\dashrightarrow x+20=2(3x)[/tex]

[tex]\\ \sf\dashrightarrow x+20=6x[/tex]

[tex]\\ \sf\dashrightarrow 20=6x-x[/tex]

[tex]\\ \sf\dashrightarrow 5x=20[/tex]

[tex]\\ \sf\dashrightarrow x=\dfrac{20}{5}[/tex]

[tex]\\ \sf\dashrightarrow x=4[/tex]

Can anyone solve this linear equation with elimination method? Please its important!

Answers

Answer: x = 1 and y = -1

Explanation:



enter the range of values for x:

Answers

12x because you multiply it


What number sentence that means “2 more than 2 times a number" ?

2 + 2n
2/2n
2(2n)
2 - 2n​

Answers

9514 1404 393

Answer:

  (a)  2 + 2n

Step-by-step explanation:

If n represents the number, then "2 times a number" is 2n. Two more than that is ...

  2 + 2n

Solve it please with its explaination

Answers

Answer:

Answer is 2x^2 + 1x - 15

Step-by-step explanation:

2x^2 + 6x - 5x - 15 2x^2 + 1x - 15

solve |5-9|+2·3= help porfavor !! asap pls

Answers

Answer:

10

Step-by-step explanation:

|5-9|+2*3

lets use the P.E.M.D.A.S order of operations rule

we have no parenthesis or exponents, so we skip to multiplication

2*3=6

then we do addition/subtraction

since the subtraction sign comes first in the equation, we evaluate

5-9=-4

since the subtraction part is in the absolution value signs, we change -4 to its absolute value.

|-4|=4

now we are left with 4+6

add

4+6=10

so, |5-9|+2*3=10

A fair coin is tossed 30 times and 12 heads result. What is the relative frequency of obtaining a tails?

Answers

Answer:

You have a 60% chance if obtaining tails

Step-by-step explanation:

30-12=18

30x60%=18

18 times of obtaining tails means you have a 60% chance of obtaining tails

A(3,8), B(3,-2), C( t ,1 ), if AB=2BC, find the possible values of t.​

Answers

Find the distance between A and B, AB,

[tex]AB=\sqrt{(3-3)^2+(-2-8)^2}=10[/tex]

Next, find the distance between B and C, BC,

[tex]BC=\sqrt{(t-3)^2+(1-2)^2}=\sqrt{(t-3)^2+1}[/tex]

The equation is,

[tex]10=2\sqrt{(t-3)^2+1}[/tex]

[tex]25=(t-3)^2+1[/tex]

[tex]t^2-3t+10=25[/tex]

[tex]t^2-3t-15=0[/tex]

Use quadratic formula to get possible values of t,

[tex]t_1=\frac{3+\sqrt{69}}{2}[/tex]

[tex]t_2=\frac{3-\sqrt{69}}{2}[/tex]

Hope this helps :)

what is the smallest positive integer that can be doubled to get a perfect cube and tripled to get a perfect square

Answers

Its 1

Doubled:-

[tex]\\ \rm\longmapsto 1\times 1=1=1^3[/tex]

Tripled

[tex]\\ \rm\longmapsto 1\times 1\times 1=1=1^2[/tex]

Rewrite each expression by
combining like terms.
1.-3x + 4y - 9x - 5y

Answers

Answer:

1-3-9+4-5

Step-by-step explanation:

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