answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sladkih [1.3K]
2 years ago
10

Hannah's school hosted a book donation. There are 150 students at her school, and they donated a total of b books! Hannah donate

d 3 times as many as the average number of books each student donated.
How many books did Hannah donate?
Write your answer as an expression.
Mathematics
1 answer:
svetoff [14.1K]2 years ago
4 0

Answer:

x=3*\dfrac{b}{150}

Step-by-step explanation:

Let x = number of books that Hannah donated

We know that the number of students is 150 and the total number of books is represented by b, we can write that as:

Average number of books donated by each student = \dfrac{b}{150}

Now we know that Hannah donated 3 times as much as the average. We can write that as:

x=3*\dfrac{b}{150}

You might be interested in
Why do you think a removable discontinuity (hole) doesn't produce an asymptote on the graph of a polynomial function, even thoug
Monica [59]
Because  removable discontituity means that the limit of the function at that point has a finite value, and then you define the value of the function as that valu (the limit value).

An asymptote means that the limit of the function goes to positive or negative infinity.

You cannot meet both conditions, finite  and infinity limit at the same time.
8 0
2 years ago
Solve 5/3x + 1/3x = 13 1/3 + 8/3x then identify x.
belka [17]

After solving \frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x we get value of x = -20

Step-by-step explanation:

We need to solve the fractions and find value of x.

The given fraction is:

\frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x

Solving:

\frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x\\\frac{5}{3}x+\frac{1}{3}x=\frac{40}{3}+\frac{8}{3}x\\ Subtract\,\,\frac{8}{3}x\,\,on\,\,both\,\,sides:\\ \frac{5}{3}x+\frac{1}{3}x-\frac{8}{3}x=\frac{40}{3}+\frac{8}{3}x-\frac{8}{3}x\\Simplifying:\\ \frac{5x+1x-8x}{3}=\frac{40}{3}\\ \frac{-2x}{3}=\frac{40}{3}\\Multiply\,\,both\,\,sides\,\,by\,\,3\\-2x=40\\x=\frac{40}{-2}\\x=-20

So, After solving \frac{5}{3}x+\frac{1}{3}x=13\frac{1}{3}+\frac{8}{3}x we get value of x = -20

Keywords: Solving fractions

Learn more about Solving fractions at:

  • brainly.com/question/2456302
  • brainly.com/question/1648978
  • brainly.com/question/13168205

#learnwithBrainly

3 0
2 years ago
What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?
Angelina_Jolie [31]

For this case we must find the value of the variable "x" of the following expression:

2 (3x-1) \geq4x-6

We apply distributive property to the terms within parentheses: 6x-2 \geq4x-6

We subtract 4x on both sides:

6x-4x-2 \geq-6\\2x-2 \geq-6

We add 2 to both sides:

2x \geq-6 + 2\\2x \geq-4

We divide between 2 on both sides:

x \geq \frac {-4} {2}\\x \geq-2

Answer:

x \geq-2

5 0
2 years ago
Read 2 more answers
1).He gastado 5/8 de mi dinero. Si en lugar de gastar los 5/8 hubiera gastado los 2/5 de mi dinero, tendria ahora 72 soles mas d
TiliK225 [7]

Answer:

1. The amount that was not spent is: 1080 soles

2. The answer is 5.

Step-by-step explanation:

Question 1. There are two situations:

If you spent 5/8 of the money then notice, that u did not spend 3/8.

If you spend 2/5 of the money, then you would have 72 more.

So think, this equation:

3/8x + 72 = 2/5x

2/5 of the money is the value for what you did not spend plus 72, the amount you would have, where x is the answer for the total of money.

72 = 2/5x - 3/8x

72 = 1/40x

x = 2880 soles

As you did not spend 3/8 of 2880, the answer is 1080 soles

Notice that if u spent 2/5 of 2880, you would have 1152 soles, so, the 1080 + 72, as the problem said.

Question 2.

We think letters for this excersise.

N = My born year

2020 (this year) - N = E (my age, now)

So N + 10 = when I get 10 years old

N + 20 = when I get 20 years old

N + 30 = when I get 30 years old

N + 40 = when I get 40 years old

The problem says:

(N+10) + (N+20) - (N+E) = 2020

((N+30)+E) - (N-40) = X  

So if 2020 - N = E, then notice that 2020 - E = N. Let's replace this in the equation form:

((2020-E)+10) + ((2020-E)+20) - ((2020-E)+E) = 2020

No minus in the first two terms, so we can break the ( )

2020-E+10 + 2020-E+20 - ((2020-E)+E) = 2020

We apply the distributive property for the second term

2020-E+10 + 2020-E+20 - 2020+E-E = 2020

We can cancel two E, and the 2020, so the new form will be:

2020 - 2E + 30 = 2020

We can also cancel the 2020, so if we reorder the equation, we have:

-2E = -30

E = 15 That's my age, so my born's year is 2020 - 15 = 2005 (N)

Look:

(2005 + 10) + (2005+20) - (2005+15) = 2020

So now, the last part

((2005+30)+15) - (2005+40) = 5

3 0
2 years ago
The time needed to travel a certain distance varies inversely with the rate of speed. If it takes 8 hours to travel a certain di
katen-ka-za [31]
I believe it would be 4.8 hours
5 0
2 years ago
Read 2 more answers
Other questions:
  • Brian is solving the equation x2-3/4x=5. What value must be added to both sides of the equation to make the left side a perfect-
    5·2 answers
  • Milton is floating in an inner tube in a wave pool. He is 1.5 m from the bottom of the pool when he is at the trough of a wave.
    9·1 answer
  • Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis
    14·2 answers
  • There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through
    7·1 answer
  • Ed buys a vase for £24 and adds 25% onto the price before putting it into his shop window.
    9·1 answer
  • 12, 26, 18, 8, 80, 14, 56, 16 The data above shows the number of points scored by each player on a basketball team during a regi
    11·2 answers
  • Triangle ABC is congruent to TriangleA'BC' by the HL theorem. Triangles A B C and A prime B C prime are connected at point B. An
    14·1 answer
  • Identify the domain of the function shown in the graph.
    14·1 answer
  • You have a function that takes in an X value and produces a Y value. The y value equals 24 times the x value, plus 4 more. What'
    7·1 answer
  • There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using d
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!