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sladkih [1.3K]
3 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]3 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}

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faltersainse [42]
1 is 1: 4 equals 2:8
8 0
3 years ago
Please help!!
sveta [45]
For this case we have the following equation:
 d =  \sqrt{\frac{3h}{2}}
 Where,
 d: the distance they can see in thousands
 h: their eye-level height in feet
 For Kaylib:
 d = \sqrt{\frac{3(48)}{2}}
 d=\sqrt{3(24)}
 d=\sqrt{72}
 d=6\sqrt{2}
 For Addison:
 d = \sqrt{\frac{3(85\frac{1}{3})}{2}}
 d = \sqrt{\frac{256}{2}}
 d=\sqrt{128}
 d=8\sqrt{2}
 Subtracting both distances we have:
 8\sqrt{2} - 6\sqrt{2} = 2\sqrt{2}
 Answer:
 
2\sqrt{2}
 B. 2√2 mi
6 0
3 years ago
Read 2 more answers
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bazaltina [42]

9514 1404 393

Answer:

  90 m²

Step-by-step explanation:

The given linear dimensions have the ratio ...

  red/blue = (6 m)/(4 m) = 3/2

The ratio of areas is the square of the ratio of the linear dimensions:

  (red area)/(blue area) = (3/2)²

  S = (blue area)(9/4) = (40 m²)(9/4)

  S = 90 m²

5 0
3 years ago
-11y = 6(2+1) - 13y
iris [78.8K]

Answer:

12

Step-by-step explanation:

Let's put the equations in standard form. For the first equation, we have:

−11y=6(z+1)-13y

2y−6z=6

y−3z=3

The second equation is:

4y−24=c(z−1)

4y−cz=24−c

If we multiply the first equation by 4, we get:

4y-12z=12

Comparing the two equations, we see that if c=12, both equations will be the same and there will be infinitely many solutions.

The correct value of c is 12.

7 0
3 years ago
Someone please help.
Alexxandr [17]

Hi there!

f(x)+f(x+1)=4f(x)

There are 3 parts to this equation:

f(x)

f(x+1)

4f(x)

We must first determine these three parts separately.

<u>1) f(x)</u>

We're given that  f(x)=3^x:

⇒ f(x)=3^x:

<u>2) f(x+1)</u>

Now, we must find f(x+1). To do so, add 1 to x in the original function f(x)=3^x:

⇒ f(x+1)=3^x^+^1

<u>3) 4f(x)</u>

To find 4f(x), multiply the original function f(x)=3^x by 4:

4f(x)=4*3^x:

<u>4) Put it all together</u>

Now, plug each of the three parts into the equation f(x)+f(x+1)=4f(x):

f(x)+f(x+1)=4f(x)

3^x+3^x^+^1=4*3^x\\3^x+3^x*3=4*3^x

Factor the left side

3^x*(1+3)=4*3^x

Divide both sides by 3^x

1+3=4\\4=4

Because this equation is true, f(x)+f(x+1)=4f(x) is therefore true.

I hope this helps!

3 0
3 years ago
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