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AnnZ [28]
2 years ago
5

In how many ways can 4 different novels, 2 different mathematics books, and 1 biology book be arranged on a bookshelf if the nov

els must be together but the other books can be arranged in any order?
Mathematics
1 answer:
geniusboy [140]2 years ago
7 0

Answer:

Pt = 576

Step-by-step explanation:

If 4 different novels must be together, we have 4 elements then

P₁  = 4!       P₁  = 4*3*2*1

 P₁  =  24

But now we have to consider  position between the novel group

P₂  =  4!      P₂    =  24

Total ways

Pt  =  24*24

Pt = 576

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What is the vertex of the graph of the function y=-2x^2+16x-15
andrey2020 [161]
<u>X - Vertex</u>
Vertex = -\frac{b}{2a} \\Vertex = -\frac{16}{2(-2)} \\Vertex = -\frac{16}{-4} \\Vertex = 4

<u>Y - Vertex</u>
y = -2x^{2} + 16x - 15 \\y = -2(4)^{2} + 16(4) - 15 \\y = -2(16) + 64 - 15 \\y = -32 + 64 - 15 \\y = 32 - 15 \\y = 17

Vertex:(4, 17)
8 0
3 years ago
Cherries $5 per pound and oranges per pound$2. He paid 18.00 for total weight which was 6 lbs how many pounds of cherries did Al
wel
Answer: 2 lbs of cherries

Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb

------------------------------------
Define x and y
------------------------------------
Let x be the number of lb of cherries
Let y be the number of lb of oranges

------------------------------------
Construct equations
------------------------------------
x + y = 6               ---------------------------- (1)
5x + 2y = 18         ---------------------------- (2)

------------------------------------------------------------------------
Solve x and y
------------------------------------------------------------------------
From equation (1):
x + y = 6 
x = 6 - y 

------------------------------------------------------------------------
Substitute x = 6 - y into equation 2
------------------------------------------------------------------------
5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4

------------------------------------------------------------------------
Substitute y = 4 into equation (1)
------------------------------------------------------------------------
x + y = 6
x + 4 = 6
x = 2

------------------------------------------------------------------------
Find the weight of cherries and oranges
------------------------------------------------------------------------
Cherry = x = 2 lb
Oranges = y = 4 lbs 

------------------------------------------------------------------------
Answer: Alex bought 2 lb of cherries
------------------------------------------------------------------------
5 0
3 years ago
What is the distance of 1.5 to -2 on a number line and how can you show it
user100 [1]

Answer:

The distance is 3.5

Step-by-step explanation:

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3 years ago
jamie can walk to school in 3/4 hour. the model below shows the total number of hours he walked over three days. whice equation
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3*(3/4) = 9/4 = 2 (1/4)

In words, Jamie walked 2 hours and 15 minutes over three days.
7 0
3 years ago
Check my answer please?
Angelina_Jolie [31]
Hello,

In my old memories,
p(μ-2σ<=X<=μ+2σ)=95%
p(μ-3σ<=X<=μ+3σ)=99%


1000-2*200=1000-400=600
1000+2*200=1000+400=1400

Answer A



7 0
3 years ago
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