20 books are divided parcels, each parcel contains one fifth of the total. If a librarian wants to buy 16 books how many fifths should he take?

Answers

Answer 1

Answer: x=4

Step-by-step explanation:

1/5 of the total= 1 parcel= 1/5 of 20= 4

So one parcel is 4 books

Then you can set up an equation 16=4x where x = number of parcels.

4x = 16

4x/4 = 16/4

x=4


Related Questions

all vertical and horizontal cross-sections of any Cube are all the same size and shape what about vertical and horizontal cross-sections of a pyramid are they all the same size are they all the same shape discuss why or why not​

Answers

Answer:

All the horizontal sections are the same shape like their base, but have different sizes.

All vertical sections through top are triangles, size are different.

The vertical sections not cut through top are 4 sided shapes, sizes are different.

Step-by-step explanation:

Rachel has 2/3 pound of snack mix. She eats 5/12 of the snack mix.


How much of the snack mix did Rachel eat?


Enter your answer in the box as a fraction in simplest form.


pound


Basic

Answers

Answer:

[tex]\frac{5}{18} pound of snack mix is eaten by Rachel.[/tex]

Step-by-step explanation:

Given

Total snack mix with Rachel [tex]\frac{2}{3}[/tex] Pounds

Snack mix eaten by Rachel [tex]= \frac{5}{12}[/tex] of the total snack mix

[tex]\frac{5}{12}[/tex] of the total snack mix accounts for

[tex]\frac{5}{12} * \frac{2}{3} = \frac{5}{18}[/tex] Pound

The rectangle can be made into a hollow cylinder with height 40cm and radius 1.910cm.
a) calculate the volume of this cylinder.

Answers

Answer:

458.45 cm³

Step-by-step explanation:

Volume of a cylinder is A = πr²h.

A = π(1.910)²(40)

A = 458.43 cm³

Triangle GHI is dilated to form new triangle JKL. If angle H is congruent to angle K, what other information would prove that the two triangles are similar by the capital AA similarities postulate?

Answers

Answer: Angle I is congruent to angle L

Step-by-step explanation:

Did da test

To prove ΔGHI and ΔJKL are similar following statements must be true,

i) angle I and angle L are congruent.

ii) angle G and angle J are congruent

iii) sides of the triangles are in proportion

⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex][tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]

What are similar triangles?

"Two or more triangles are similar if and only if the corresponding angle measures same and their corresponding side lengths are in proportion.."

What is dilation?"It is a geometric transformation where there is a change in the size of an object without changing its shape.""The size of the object changes on the basis scale factor."

For given example,

ΔGHI is dilated to form new ΔJKL.

Also, angle H is congruent to angle K.

To prove ΔGHI and ΔJKL are similar.

i) angle I and angle L are congruent.

ii) angle G and angle J are congruent

iii) sides of the triangles are in proportion

⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]

Therefore, to prove ΔGHI and ΔJKL are similar following statements must be true,

i) angle I and angle L are congruent.

ii) angle G and angle J are congruent

iii) sides of the triangles are in proportion

⇒[tex]\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}[/tex]

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Who can help me with this

Answers

Answer:

Growth

Step-by-step explanation:

Given

[tex]\frac{2}{3}(2.5)^x[/tex]

Required

Growth or decay

The general form is:

[tex]y = ab^x[/tex]

Such that:

[tex]b = rate[/tex]

For b, we have the following conditions:

[tex]b > 1[/tex] ----- Growth

[tex]0<b <1[/tex] --- Decay

[tex]b = 1[/tex] ---- None

Compare [tex]\frac{2}{3}(2.5)^x[/tex] to [tex]y = ab^x[/tex]

[tex]b = 2.5[/tex]

Because 2.5 > 1, then the first condition applies (growth)

What is the minimum of the sinusoidal function?

Answers

Answer: The minimum is -4.

Step-by-step explanation:

The minimum of a function:

y = f(x)

will be the smallest value of y that the function gives.

such that, if the minimum is y = m

m ≤ f(x)   ∀ x

In this case, we can see that the smallest value of y is:

y = -4

Then the minimum of the sinusoidal function is -4.

Use the substitution method to solve the system of equations. choose the correct ordered pair.x+y=12 -x=-y+10

Answers

Answer:

x=1 y=11

Step-by-step explanation:

Hopefully this helps, If you need some explaining just comment

f one Canadian dollar is equivalent to US$0.8150, how much do you need in

Canadian funds to buy US$800.00? (2 ma​

Answers

Answer:

It will take $ 989.59 in Canadian funds to buy $ 800.

Step-by-step explanation:

If one Canadian dollar is equivalent to US $ 0.8150, in order to determine how much money is needed in Canadian funds to buy US $ 800.00 the following calculation must be performed:

0.8150 = 1

800 = X

(800 x 1) / 0.8150 = X

800 / 0.8150 = X

981.59 = X

Therefore, it will take $ 989.59 in Canadian funds to buy $ 800.

1/2x5/6, as a fraction, because my brain is not remembering rn

Answers

Answer:

5/12

Step-by-step explanation:

5/12

you just multiply the numerators and the denominators

Multiply and divide decimals.
One pound of chocolate chip cookies cost $3.79. David buys exactly 5 pounds of chocolate chip cookies. How much will the cookies cost?
State Your answer. Give Details. Explain what you did and justify Your steps.
And also, you'll get brain if u do these directions. :)

Answers

Answer:

5 pounds of chocolate chip cookies cost $18.95.

Step-by-step explanation:

If one pound of chocolate chip cookies cost $3.79, then 5 pounds of chocolate chip cookies will cost 3.79 times 5 dollars, which is equal to $18.95.

Hope this helps!

The price of Stock A at 9 A.M. was ​$12.21. Since​ then, the price has been increasing at the rate of ​$0.11 each hour. At noon the price of Stock B was ​$12.71. It begins to decrease at the rate of ​$0.15 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Answer:

mildiu usa so lapuaña kqyiq iwguiq oga oga. apphq. kgaoa

Step-by-step explanation:

suost. oaabqj the ksysa

A set of equations is given below:

Equation S: y = x + 9
Equation T: y = 2x + 1

Which of the following steps can be used to find the solution to the set of equations? (4 points)

x = 2x + 1
x + 9 = 2x
x + 1 = 2x + 9
x + 9 = 2x + 1

Answers

it’s the first one! hope i helped if it’s wrong i’m sorry :(

Which statement is true based on the graph ?

Answers

Answer:

C: The speed increases from A to F

Step-by-step explanation:

Check each node A to F including A and F.

B is higher than A, C is higher than B, ...

This is true for all of them, so it is increasing.

The speed of the car is increasing in the time interval from point A to point F. Option C is correct.

What is speed?

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

What is the graph?

The graph depicts the relationship between the x and y axes through the use of curves.

Here,
The graph shows the speed and time relation of the car,
Where,
The speed of the car is increasing from A to F,
The speed of the car is decreasing from F to G,
The speed of the car is increasing from G to H,
The speed of the car is decreasing from H to K,

Thus, the car's speed increases over the time span from point A to point F. Option C is the right answer.

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Simply
x + 50 × 10 = 150​

Answers

Answer:

x + 50 × 10 = 150

x+500=150

x=150-500=-350

Step-by-step explanation:

solution,

here,

given,

x+50*10 = 150

or, x+500=150

or, x= 150 -500

therefore, x= -350

hope this helps u..

Write -√-49 as an imaginary number using i.
Represent 4-3i on the graph

Answers

- /-49
-/-1 * 7 * 7
-7i

4 - 3i
Go to 4 on the x axis (right)
Go to -3i on the y axis (down)
Your coordinate is (4, -3i)

To graph -3i, it is like 0 - 3i
Your coordinate is (0, -3i)

Question 4 Given that P = 6 and a 2, which yields a quotient greater than -9? O A 3 B 3() c Зр (-2) (-p) (-3)​

Answers

Answer:

I think is A or B I don't know

Answer:

a

Step-by-step explanation:

Complete the table for

y = x/4 -1

Answers

Answer:

X     Y    

0     -1

2     -0.5

4     0

6     0.5

8     1

Step-by-step explanation:

I hope i got that right

Help me with this one please

Answers

Answer:

-7

Explanation:

(-3)^2- (-4)^2 =

= 9 - 16 = -7

A profit of a football club after a takeover is modeled by p(t) = t3 - 14t2 + 20t + 120, which t is the number of years after the takeover. In which years was the club making loss?

Answers

t = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120

Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10

Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)

0 = 3t - 2
2 = 3t
2/3 = t

Plug 2/3 into original equation, this is a maximum. We want the minimum:

0 = t - 5
5 = t

Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5

The club losses during the years 4.89 years<t<11.29 years.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

Profit of a football club after a takeover is modeled by p(t) = t³ - 14t² + 20t + 120,

t is the number of years after the takeover

We need to find in which  years was the club making loss

p(t) = t³ - 14t² + 20t + 120,

the profit is negative when the club is in loss.

Plot the cubic equation

The profit p(t) is negative in the interval (4.89,11.29)

The number of years t cannot be a negative number

Hence the club lost during the years 4.89 years<t<11.29 years.

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5. Licorice are 5 cents. How many licorice can you buy
with 10 cents?

Answers

Answer:

2

Step-by-step explanation:

5+5=10

Each licorice is 5 cents, if you have 10 cents, you’ll be able to buy 2 licorice

Elena went 60 meters in 15 seconds. Noah went 50 meters in 10 seconds. Elena and Noah both moved at a constant speed. Who went faster?

Answers

Answer:

Noah went faster.

Step-by-step explanation:

Elena: 60 divided by 15 = 4

Noah: 50 divided by 10 = 5.

5 meters per second is greater than 4 meters per second, making Noah faster than Elena.

A class of 195 students went on a field trip. They took 19 vehicles, some cars and some buses. If
each car holds 5 students and each bus hold 25 students, how many buses did they take?

Answers

Answer:

1car 8 bus

Step-by-step explanation:

1×5=5

8×25=190

What is the formula for circumference? а a C = (pi) bo C = 2r с C = (pi) r2​

Answers

Answer:

2(pi)r=C

Step-by-step explanation:

Sheila rolled a number cube numbered 1 through 6 and tossed a coin for heads, H, or tails, T.
Which list represents all the possible outcomes of rolling the numbercube and tossing the
coin?

Answers

The second one. You can roll the dice and get a number 1-6 and heads or tails.

Sasha ate 3 pieces of bacon for breakfast and ate some pieces for lunch. How many pieces of bacon did she eat today?

Answers

3+x
This is a trick question. Unless we know how much she’s eaten for lunch, we can’t figure out how much she ate.

The force acting on a beam was measured 5 times under the same operating conditions. This process was repeated by 3 observers, resulting in 3 sets of data. The standard deviations of these data sets were: Standard Deviation 1= 1.11, Standard Deviation 2= 0.99, Standard Deviation 3= 1.15 The corresponding mean values were: 52.3, 51.5, and 52.7, respectively. Compute the Pooled Standard Deviation for these data sets. (Provide your answer using two decimal places)

Answers

Answer:

The Pooled Standard Deviation for these data sets is 1.09

Step-by-step explanation:  

Given that;

Standard Deviation 1 = 1.11

Standard Deviation 2 = 0.99

Standard Deviation 3 = 1.15

pooled standard deviation is given as;

[tex]S_{pooled}[/tex] = (n1 - 1 )s1² + ..... + ( nk - 1 )sk² / n1 + ..... + nk - 1

where n1, n2....., nk are the sample sizes of k groups and s1, s2, ....., sk are the standard deviations of k groups respectively

so for the 3 groups;

[tex]S_{pooled}[/tex]² =   (n1 - 1 )s1² + (n2 - 1 )s2² + ( n3 - 1)s3² / n1 + n2 + n3 - 3

we substitute

[tex]S_{pooled}[/tex]² =   (5 - 1 )1.11² + (5 - 1 )0.99 ² + ( 5 - 1)1.15² / 5 + 5 + 5 - 3

[tex]S_{pooled}[/tex]² =   (4.9284 + 3.9204 + 5.29) / 12

[tex]S_{pooled}[/tex]² =   14.1388 / 12

[tex]S_{pooled}[/tex]² =   1.1782

[tex]S_{pooled}[/tex] = √1.1782

[tex]S_{pooled}[/tex] = 1.08544 ≈ 1.09

Therefore, The Pooled Standard Deviation for these data sets is 1.09

How many real and how many are imaginary
Please Explain how to do it

Answers

Answer:

no idea bud

Step-by-step explanation:

Answer:

There are no real solutions, and 2 imaginary solutions.

Step-by-step explanation:

There are no real solutions since the function never touches the x-axis and it does not have any roots. Imaginary solutions always come in pairs, and since the exponent degree of x is 2, there are 2 solutions to the problem. You can find the imaginary solutions by plugging the equation into the quadratic formula.

Solve the system of linear equations by elimination. 8x-5y=11 4x-3y=5

Answers

Answer:

(x,y)= ( 5 over 273, - 265 over 273)

Step-by-step explanation:

After solving the obtained equation with the elimination method the obtained value of x and y will be 2 and 1 respectively.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that,

8x-5y=11  ------ (1)

4x-3y=5 --------- (2)

In order to solve the above equation with the elimination method, we have to apply the multiplicative distribution law as,

Multiply by 2 in equation 2

2(4x-3y=5)

8x- 6y = 10  ----- (3)

Subtract equation 3 from equation 1,

(8x- 6y)-(8x-5y) = 10 - 11

8x-8x-6y+5y = -1

-y = -1

y=1

Substitute the value of y in any of the equations 1  to get the value of x

8x-5y=11

8x-5(1)=11

8x-5=11

8x=16

x=2

Thus, after solving the obtained equation with the elimination method the obtained value of x and y will be 2 and 1 respectively.

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12) Find the zeros of the function:
f(x) = x2 + 5x – 36
IS

Answers

Answer:

x² +5x - 36

= x² - 4x + 9x - 36

= x(x - 4) +9(x - 4)

= (x - 4) (x+9)

so x = 4, - 9

Write a classification essay to describe two types of animal flight​

Answers

Do pidgins and eagles

One of the two basic types of animal locomotion: powered flight, actual flight, or gliding. Real wings are only found in most bird species, most insect orders, and bats.

What are the categories?

A category listing is a list of various product categories, such as children's clothing, women's clothing, and men's clothing. Any form of a category can be simply created

Soaring and gravitational gliding are two distinct types of gliding flight.

In controlled gravitational gliding, a creature propels itself in a precise direction after delaying its descent and relying on the wind for horizontal motion (parachuting).

Adaptations for guided gliding are primarily made to increase glide ratio (the amount of horizontal distance covered per unit descent)

Therefore, powered flight or true flight are the two basic categories of animal locomotion.

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