A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. How much time does it take to sort the books from start to finish?

Answers

Answer 1

Answer:

6 days

Step-by-step explanation:

hope this helps

Answer 2

A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. Then 6 days  time does it take to sort the books from start to finish

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The librarian sorted at a constant rate, then they sorted the same amount of books all 4 days.

450-150=300

If they still have 150 books left to sort, then they sorted 300 books over 4 days.

300/4=75

This means that they sorted 75 books per day.

150 divided by 75 is 2

So it will take 2 more days to finish sorting all the books.

So altogether, it will take 6 days to sort all of the books.

Hence 6 days time does it take to sort the books from start to finish

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Related Questions

I have this question I've thought about it but I couldn't get the answer i really will appreciate if anyone helps me out with it the question is Malia bought 14 cans of cat food. Each can weigh 8 ounces. How many total ounces of cat food did she buy?

Answers

Answer:

112 ounces

Step-by-step explanation:

Malia bought 14 cans of cat food

Each of the can weighs 8 ounces

Therefore the total ounces of cat food bought can be calculated as follows

= 14×8

= 112 ounces

2 = 2(m − 8) − 2
m =

Answers

Use distributive property
2 = 2m - 16 - 2
Simplify
2 = 2m - 18
Add 18
20 = 2m
m = 10
2 = 2m - 16 - 2
-16 - 2 = -18
2 = 2m - 18
2 = 20 - 18
m = 10

DUE 10:00 PM HELP ASAP. When Sarah left your house this morning her cell phone was 80% charged and then it started to lose 8% charge for each hour there after write an equation for B in terms of tea representing the charge remaining in series battery as percentage t hours after Sara left her house

Answers

Answer:

The answer would be B=-8>80

Step-by-step explanation:

B= 80-8t is the answer

A line passes through (0, 2) and has a slope of 13 .

What is the equation of the line in slope-intercept form?

y=13x+2
y=13x−2
y=−13x+2
I don't know.

Answers

Answer:

y=1/3x+2

Step-by-step explanation:

Assuming that all of the '13' 's are suppost to be 1/3, it is y=1/3x+2

The equation of the line in slope intercept form is

[tex]y= \frac{1}{3} x+2[/tex]

Given :

A line passes through (0, 2) and has a slope of 1/3

The equation of a line in slope intercept form is y=mx+b

where m is the slope and b is the y intercept

From the given information , we know that slope [tex]m=\frac{1}{3}[/tex]

The line passes through (0,2) that is our y intercept b

b= 2

Replace slope [tex]m= \frac{1}{3}[/tex] and b=2 in slope intercept form y=mx+b

[tex]y= \frac{1}{3} x+2[/tex]

The equation of the line in slope intercept form is

[tex]y= \frac{1}{3} x+2[/tex]

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please help! the approximate path of a projectile launched from 100 m above the ground is given by f(×)= -5×^2+40+100, where f(×) represents the height × seconds after it is released into the air. use the info to answer the questions below. 1. what is the factored form of the equation? 2 how long will it take the projectile to reach the ground?​

Answers

Answer:

Part 1) [tex]f(x)=-5(x-10)(x+2)[/tex]

Part 2) After 10 seconds.

Step-by-step explanation:

We have the function:

[tex]f(x)=-5x^2+40x+100[/tex]

Where f(x) represents the height x seconds after it is released into the air.

Part 1)

First, let's distribute a -5 out of the function:

[tex]f(x)=-5(x^2-8x-20)[/tex]

Now, let's factor. We want to pick two number that multiplies to -20 and adds to -8.

We can use -10 and 2. So:

[tex]f(x)=-5(x^2+2x-10x-20)[/tex]

Factor:

[tex]\begin{aligned}f(x)&=-5(x^2+2x-10x-20) \\ f(x)&=-5(x(x+2)-10(x+2)) \\ f(x)&=-5(x-10)(x+2) \end{aligned}[/tex]

Hence, our factored form is:

[tex]f(x)=-5(x-10)(x+2)[/tex]

Part 2)

We want to find after how many seconds does it take for the projectile to reach the ground.

If it reaches the ground, the height above the ground, f(x), will be 0.

So, we can set f(x) equal to 0 and solve for x. Instead of using the original equation, we can use the factored form. So:

[tex]0=-5(x-10)(x+2)[/tex]

Zero Product Property:

[tex]x-10=0\text{ or } x+2=0[/tex]

Solve for x:

[tex]x=10 \text{ or } x=-2[/tex]

Since x measures time, -2 does not make sense in this context.

Therefore, our solution is x=10.

So, after 10 seconds, the projectile will hit the ground.

Which of the following sequences is not a geometric sequence?

50, 25, 12.5, 6.25, …
6, -12, 24, -48, …
0, 2, 4, 6, …
-1, -3, -9, -27, …

Answers

Step-by-step explanation:

the third sequence(0,2,4,6) is not a geometrical sequence

this may help you(:

Answer:

0, 2, 4, 6, …  because the following sequence is arithmetic not geometric

Pls answer these and show work plss

Answers

Answer:

25x

Step-by-step explanation:

What is the slope of the line that passes through
(−2, 3) and (5, −6)
a.-1/2
b.−1
c.-9/7
d. I don't know.

Answers

Start with the slope formula.

m = y₂ - y₁ / x₂ - x₁

m = -6 - 3 / 5 - -2

m = -9 / 7

So the slope is -9/7.

Which are solutions of 1 < 3x-2 < 13? Choose all correct answers.

PLEAE HELP ME AND ANSWER CHOICES ABOVE!!

Answers

Answer: D. 5 > x > 1

1 < 3x -2 < 13

<=> 3 < 3x < 15

<=> 1< x < 5

Step-by-step explanation:

x>1 and x<5 and 1<x<5 are  the solution of the inequality 1 < 3x-2 < 13.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 1 < 3x-2 < 13

One less than three times of x minus two less than thirteen.

We need to find the solution of the inequality.

Let us divide the given inequality into two parts

3x-2>1 and 3x-2<13

For first inequality

3x-2>1

3x>3

x>1

and the second inequality  3x-2<13

3x<15

x<5

Hence, x>1 and x<5 and 1<x<5 are  the solution of the inequality 1 < 3x-2 < 13.

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Find the measure of angle 3.

Answers

Answer:

112 degrees

Step-by-step explanation:

In this case, the two angles are considered alternating exterior angles, which signifies that they are equal

Write the slope-intercept form of the equation of the line whose slope = -1 and y-intercept = 5.

Answers

Answer:

ask your mom for the answer

Step-by-step explanation:

thank me later

Answer: y= -1x+ 5

Step-by-step explanation:

Y = slope x + y- intercept

You buy a shirt for $19.95 and a pair of shorts for $35.95. Shirts are on sale for 25% off and shorts are on sale for 30% off. What would you pay for the shirt and shorts after the discount?

Answers

Discount on shirt, [tex]D_s = 19.95\times 0.25=\$4.9875[/tex] .

So, Price payed for shirt is :

[tex]P=P_s-D_s\\\\P=19.95 - 4.9875\\\\P=\$14.9625[/tex]

Discount on shorts, [tex]D_{sh}=35.95\times 0.30=\$10.785[/tex]

Discounted price :

[tex]P=P_{sh}-D_{sh}\\\\P=35.95-10.785\\\\P=\$25.165[/tex]

Therefore, discounted price of shirt and shorts are $14.9625 and $25.165.

Hence, this is the required solution.

Given the function f ( x ) = − 1 x + 3 x 4 , f(x)=− x 1 ​ + 4 3 x ​ ​ , find f ′ ( 4 ) . f ′ (4). Express your answer as a single fraction in simplest form.

Answers

Step-by-step explanation:

The question is not well written. Let us say the function given as expressed as;

f(x) = -1/x + 3/x⁴

f'(x) means we are to differentiate the function with respect to x;

Given f(x) = axⁿ

f'(x) = naxⁿ⁻¹

f(x) = -x⁻¹ + 3x⁻⁴

Applying the differentiation formula we will have;

f'(x) = -1(-x⁻²)+(-4)3x⁻⁴⁻¹

f'(x) = x⁻²-12x⁻⁵

Express as a fraction

f'(x) = 1/x²-12/x⁵

To get f'(4), we will have to substitute x = 4 into the resulting expression

f'(4) = 1/4²-12/4(5)

f'(4) = 1/16-12/20

f'(4) = 1/16-3/5

Find the LCM

f'(4) = (5-48)/80

f'(4) = -43/80

Note that the function used was assumed but the same method can be employed to any other functions.

Nicole is using a ¾ cup scooper to scoop some potting soil from a big bag. The bag contains 9 cups of potting soil. How many times will she have to scoop to use up the entire bag of potting soil?

Answers

Answer:

12 times

Step-by-step explanation:

Given that :

Amount of potting soil in bag = 9 cups

Size of scooping cup = 3/4 cup

The number of times scooping will be done to use entire bag of potting soil will be ;

(Amount of potting soil in bag ÷ size of scooping cup)

(9 ÷ 3/4)

9/ 1 * 4/3

= 36/3

= 12 times

Hence, scooping will have to be done 12 times in other to use entire bag if potting soil.

I think of a number i halve it then subtract four

Answers

Answer:

x/2-4

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

this question is not very detailed but I think ik what u mean. take a number, 8 for example. halve it, (divide by 2) and then subtract 4 & u are left with 0

i will give u brianliest

Answers

Answer:

1: [tex]3[/tex]×[tex]2[/tex]

2: [tex]y^6[/tex]

Step-by-step explanation:

1:

Multiply the numbers: [tex]y(^3^*^2)[/tex]

[tex]3*2 = 6[/tex]

Write it without exponents:

[tex]y * y * y * y *y *y[/tex] so [tex]6y[/tex].

2:

[tex](y^3)^2[/tex]

Apply exponent rule : [tex](a^b)^c=a^b^c,[/tex] assuming [tex]a\geq 0[/tex]

[tex](y^3)^2=y^3^*^2[/tex]

[tex]=y^3^*^2[/tex]

Multiply the numbers: [tex]3 * 2 = 6[/tex]

[tex]= y^6[/tex]

Hope I helped! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

Alice rode her bicycle the same number of miles every day for 17 days. She
rode a total of 68 miles during these 17 days. At this rate, how many miles did
Alice ride her bicycle in 1 day?

Answers

Answer: 4

Step-by-step explanation:

Alice ride her bicycle in 1 day for a distance of 4 miles.

What is Division?

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that,

Alice rode her bicycle the same number of miles every day for 17 days.

Let x be the number of miles that Alice rode for 1 day.

She rode x miles for 17 days.

Total number of miles that she rode in 17 days = 68 miles

So, we have,

17x = 68

Dividing both sides by 17,

x = 4

Hence the number of miles Alice rode in 1 day is 4 miles.

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Andrea bought tacos from a food truck and left 25% tip of $2.00. What was the price of Andreas tacos, before tip?

Answers

Answer:

If 2.00$ is 25% multiply by 4 which would give you the original price of 8$, plus tip that’s 10$. However the answer is, Andreas tacos, before tip, were 8$.

Answer:

$8

Step-by-step explanation:

25% is .25, also known as 1/4. So if you think of it that way, $2 is 1/4 of the entire payment that was added to it. 2*4 is 8, so the price of the tacos was $8 before any tip was added. Andrea paid $10 in total if you include the tip.

Which of the following is the solution of the system of equations shown

Answers

Answer:

(3,-4)

Step-by-step explanation:

because the two lines meet at that point.

I will try to give the first one Brainlyest plz answer

Answers

I think B because in that equation u subtract the two and for that situation u also subtract the too and I feel like that is the most correct one

Answer:

B

Step-by-step explanation:

The table and graph show the miles driven and gas used for two scooters.

Answers

Answer:

B

Step-by-step explanation:

Equation of A is

y = 0.0105x

Equation of B is

y = 0.01

B is smaller than A

Karsyn is getting ready for her date. She has 20 outfits to choose from. Half of her
clothes are dirty. Her mom washed 3 more outfits, how many outfits would Karsyn have
had to choose from if she did her laundry?

Identify the variable:

Write the equation:

How many outfits did she have?

Answers

Well if she has 20 outfits and half of them are dirty then it’d be 10. This is because 20/2=10 but then if her mom washed 3 then it’d be 13. 10+3=13

The equations of four lines are given. Identify which lines are parallel.
Line 1: y= 2 - 6
Line 2: 3 - 2y = -1
Line 3: y = 4x + 6
Line 4: y+3= 1 (2-6)

Answers

Answer:

lines 1 and 4

Step-by-step explanation:

they are both horizontal lines because when solved equal a number without an x so they is no slope so they are horizontal and have the same slope which means they are parallel to each other

$330 is 12% less than the cost last year. Calculate the cost last year.

Answers

Answer:

just look that up and walla insta answer

The answer is $375! 12% of $375 is $45, and 330+45 is 375.

If you go on this question at all you are a republican and that is good

Answers

Answer: hahshejehdbddndb

Step-by-step explanation:

Answer:

you chose poison thanks for the points payback

Step-by-step explanation:

don't do this to people

its rude and people actualy need help not free points

4x = 7 [x3] help meh

Answers

Answer:

x = 0

Step-by-step explanation:

4x = 7(3x)

4x = 21x

-4x   -4x

17x = 0

Para la reforestación de un terreno por parcela se compraron 150 arboles de cedro y 210 arboles de guayacán para sembrarlos de tal forma que en cada parcela quede la misma cantidad de arboles de cada tipo ¿Cuál es el mayor numero de parcelas? ¿Cuántos arboles de cedro y cuantos arboles de guayaca se sembrar en cada parcela?

Answers

Answer:

a) 30 parcelas

b) Para árboles de cedro: 5 por parcela

Para árboles de Guayacán: 7 por parcela

Step-by-step explanation:

a) ¿Cuál es el mayor número de parcelas?

De la pregunta tenemos:

150 árboles de cedro y 210 árboles de guayacán

Para encontrar la mayor cantidad de parcelas, resolvemos usando los métodos del mayor factor común.

Encontramos los factores de 150 y 210

Los factores de 150 son: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Los factores de 210 son: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Entonces el máximo común divisor es 30.

Por lo tanto, la mayor cantidad de parcelas que podemos tener es de 30 parcelas.

b) ¿Cuántos árboles de cedro y de guayacán plantar en cada parcela?

Para cedros

Tenemos 150 árboles de cedro

Por lo tanto, la cantidad de árboles de cedro por parcela = 150 ÷ ​​30 = 5 árboles de cedro por lote

Para los árboles de Guayacán

Tenemos 210 árboles de Guayacán

Por lo tanto, el número de árboles de Guayacán por parcela = 210 ÷ 30 = 7 árboles de Guayacán por lote

PLEASEEEEE HELP ASAPPPPP

Answers

Answer:

Number 2, or {(0,1),(1,-3),(2,-5),(3,-7)(4,-9)}

Explanation:

Every x-value matches to exactly one y-value, which is the definition of a function.

Diamonds have a density of 3.5 g/cm3. How big is a diamond that has a mass of 0.10 g?

Answers

Answer:x = 0.028571 cm3

Step-by-step explanation:

I the density is constant and a mass of 3.5 g takes up 1 cubic centimeter, how much volume will a mass of 0.20 g take (in cubit centimeters)?

So, let x be the volume in cubit centimeters.

   the mass is to the volume is as the mass is to the volume

        3.5g /(1 cm3)  =  0,1g / (x cm3)

Cross-multiply to get:

       3.5x = 0.1

         x = 0.1 / 3.5                (divide both sides by 3.5)

         x = 0.028571 cm3      (you probably should round this, but diamonds are expensive !)

A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.

Answers

a,d,e

Step-by-step explanation:

I took the question

Answer:

A D E

Step-by-step explanation:

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