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DanielleElmas [232]
3 years ago
12

A bookshelf contains 10 mysteries, 8 biographies, and 6 science fiction books. A book is randomly selected, replaced, then anoth

er is selected. Find the probability, P(biography, then science fiction) as a simplified fraction.
Mathematics
1 answer:
hichkok12 [17]3 years ago
6 0

Answer:

10+8+6=24 the ratio of taking the biographies to the science books are: 4:3

Step-by-step explanation:

That is the answer because 10+8+6= total 24 books

ratio of biographies= 24:8=3:1

ratio of science fiction= 24:6= 4:1

hence according axiom 1 ab × Ac= aa × BC

3:1×4:1= 4:3

HOPE THIS HELPSBYOU✌️

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A fruit stand sells apples, peaches and tomatoes. Today, they sold 4 apples for every 5 peaches. They sold 2 peaches for every 3
Brrunno [24]

Answer:

He sold 32 apples, 40 peaches and 60 apples.

Step-by-step explanation:

We are given that

4 apples are sold every 5 peaches and

3 tomatoes are sold every 2 peaches.

i.e. the ratio is apples: peaches = 4 : 5     ...... (1)

and the ratio peaches: tomatoes = 2 : 3   ...... (2)

Peaches are the common link here in both the ratio terms.

Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.

Multiply (1) by 2 and (2) by 5:

The ratio becomes;

apples:peaches = 8:10

peaches: tomatoes = 10:15

In other words, the ratio becomes:

apples:peaches:tomatoes = 8:10:15

Let the number of apples = 8x

Let the number of peaches = 10x\\

Let the number of tomatoes = 15x

We are given that total fruits are = 132

\Rightarrow 8x+10x+15x = 132\\\Rightarrow 33x = 132\\\Rightarrow x =4\\

So, number of apples sold = 8 \times 4 = 32

Number of peaches sold = 10 \times 4 = 40

Number of tomatoes sold = 15 \times 4 = 60

7 0
3 years ago
A car traveled 330 miles during a 5½ hour period. If the speed at which the car traveled can be represented in the equation d=rt
Alina [70]

Answer:

The car was travelling at a speed of 60 miles per hour.

Step-by-step explanation:

Given:

Distance traveled = 330 miles

Time Period = 5 \frac12\ hr

we need to find the speed of the car .

Solution:

Time Period = 5 \frac12\ hr

Now we can say that;

\frac12\ hr =0.5\ hr

So Time period = 5+0.5 =5.5\ hr

Now we know that;

Distance traveled (d) is equal to Speed (r) multiplied by Time Period (t).

framing in equation form we get;

d=rt\\\\330 =r\times 5.5

Dividing both side by 5.5 we get;

\frac{330}{5.5}=\frac{5.5r}{5.5}\\\\r = 60\ mi/hr

Hence The car was travelling at a speed of 60 miles per hour.

6 0
3 years ago
What is m∠8 if m∠4 = 50°?
r-ruslan [8.4K]

Answer:

D) 50°. You got parallel lines cut by a traversal, so angles 4 and 8 are congruent because they're corresponding angles.

Step-by-step explanation:

6 0
3 years ago
At Freddy’s fro yo shop 25 percent of the 44 frozen yogurt flavors are sugar free how many frozen yogurt flavors are sugar free
daser333 [38]
25%of44=11 .so 11 frozen yogurt flavours are sugar free
6 0
2 years ago
PQRS has vertices P(0, 0), Q(4, 2), and S(4, ␣2). Its diagonals intersect at H(4, 0). What are the possible coordinates of R for
True [87]
Any point on the x-axis beyond the point (4, 0) is a possible cordinate of R.
8 0
3 years ago
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